Equation's:
3b - 45c = 120b - 3c = 10Make b the subject:
3b - 45c = 120
3b = 120 + 45c
b = (120+ 45c)/3
= 40 + 15c ____ equation 1
\(\rule{100}{1}\)
b - 3c = 10
b = 10 + 3c ____ equation 2
Solve them Simultaneously:
b = b
10 + 3c = 40 + 15c
3c - 15c = 40 - 10
-12c = 30
c = -2.5
For b: 10 + 3c = 10 + 3(-2.5) = 2.5
Answer:
c) b = 2.5, c = -2.5
Step-by-step explanation:
Given system of equations:
\(\begin{cases}3b-45c=120\\b-3c=10\end{cases}\)
Rearrange the second equation to make b the subject:
\(\implies b=10+3c\)
Substitute this into the first equation and solve for c:
\(\implies 3(10+3c)-45c=120\)
\(\implies 30+9c-45c=120\)
\(\implies 30-36c=120\)
\(\implies -36c=90\)
\(\implies c=-2.5\)
Substitute the found value of c into the rearranged second equation and solve for b:
\(\implies b=10+3(-2.5)\)
\(\implies b=10-7.5\)
\(\implies b=2.5\)
Therefore, the solution to the system of equations is:
\(b = 2.5, \:\:\:c = -2.5\)
Describe the transformation's necessary to transform the graph f(x) into that of g(x)
 
                                                Answer:
C and F
Step-by-step explanation:
Those two just work, that simple
Please look at picture
 
                                                Answer:
20%
Step-by-step explanation:
Probability of ordering large
= 5/(8 + 12 + 5) = 5/25 = 1/5
= 1/5 *100 = 20%
Answer:
5%
Step-by-step explanation:
Total outcome is 100
Favorable outcome is 5
The probability that a customer ordered a large cold drink is
\(\frac{5}{100}\) = \(\frac{1}{20}\) = 5%
The student then emptied the flask and dired it once again. To the empty flask he added pieces of a metal until the flask was bout half full. He weighed the stoppered flask containing the metal and found that its mass was 100.356g. Next, he filled the flask containing the metal with water, stoppered it, reweighed it and obtained a total mass of 121.860g. 
a.) Find the mass of the metal in the flask. (show work) 
b.) Find the mass of water in the flask. (show work) 
c.) Find the volume of metal in the flask. (show work) 
e.) Find the density of the metal. (show work)
Answer:
The question is incomplete, below is the complete question:
The volume of a flask has been determined to be 26.918 mL, and the mass of the flask has been determined to be 32.634g. The student then emptied the flask and dried it once again. To the empty flask, he added pieces of metal until the flask was about half full. He weighed the stoppered flask containing the metal and found that its mass was 100.356g. Next, he filled the flask containing the metal with water, stoppered it, reweighed it and obtained a total mass of 121.860g.
a.) Find the mass of the metal in the flask. (show work)
b.) Find the mass of water in the flask. (show work)
c.) Find the volume of water in the flask. (show work)
d.) Find the volume of metal in the flask (show work)
e.) Find the density of the metal. (show work)
Answers:
a. mass of metal in the flask = 67.722g
b. mass of water in the flask = 21.504g
c. volume of water in the flask = 21.562mL
d.) volume of metal in the flask = 5.356mL
e.) density of the metal = 12.644g/mL
Step-by-step explanation:
a.) mass of metal in the flask = (mass of flask + metal) - mass of empty flask
= 100.356 - 32.634 = 67.722g
b.) mass of water in the flask = (mass of flask when filled with metal and water) - (mass of flask when filled with metal alone)
= 121.860 - 100.356 = 21.504g
c. volume of the water in the flask :
in order to calculate the volume of water in the flask, the density formula is used as follows:
density = mass ÷ volume
volume = mass ÷ density.
where:
Density of water = 0.9973 g/mL
Mass of water as calculated above = 21.504g
∴ volume of water = 21.504 ÷ 0.9973 = 21.562mL
d.) volume of the metal in the flask:
Next, to calculate the volume of the metal in the flask:
volume of flask = volume of metal + volume of water
∴ volume of metal = volume of flask - volume of water
where:
volume of flask = 26.918mL (given)
volume of water = 21.562mL (calculated above)
∴ volume of metal = 26.918 - 21.562 = 5.356mL
e.) density of the metal:
Density = mass ÷ volume
where:
mass of metal = 67.722g ; volume of metal = 5.356mL
∴ Density of metal = 67.722 ÷ 5.356 = 12.644g/mL
A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the number of heartbeats after t minutes. When the data in the table are graphed, the slope of the tangent line represents the heart rate in beats per minute.??t (min) 36 38 40 42 44?Heartbeats 2510 2647 2784 2915 3048??The monitor estimates this value by calculating the slope of a secant line. Use the data to estimate the patient's heart rate after 42 minutes using the secant line between the points with the given values of t. (Round your answers to one decimal place.)??
(a) t = 36 and t = 42
(b) t = 38 and t = 42
(c) t = 40 and t = 42
(d) t = 42 and t = 44
Therefore , coordinate problem solution is A) 3140 pulses per minute , B) 2915 beats per minute , C) heartbeat of 2915 beats per minute (D) or 2915.5 beats per minute .
What do coordinates mean?When locating points or other mathematical objects precisely on a region, such as Euclidean space, a coordinate system is a technique that uses one or more numbers or coordinates. Locating a point or item on a the double plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y vectors are used to define a point's location on a 2D plane. a collection of numbers that indicate specific locations.
Here,
The slope method can be used to calculate the patient's heart rhythm after 42 minutes that use the secant line connecting the points with the specified values of t:
Heartbeat change / time change is the trend.
The heart rate can then be estimated using this slope value along with the number for heartbeats at t = 42 minutes.
A)Using coordinates 36, 2510, and 42, 2915 as examples:
Cardiac rate at 42 minutes = 2510 + (42 - 36) * 75 = 3140 Slope = (2915 - 2510) / (42 - 36) = 75
b) Using coordinates (38, 2647) and (42, 2915), respectively:
Cardiac rate at 42 minutes = 2647 + (42 - 38) * 67 = 2915 Slope = (2915 - 2647) / (42 - 38) = 67
c) Applying the values (40, 2784) and (42, 2915):
Heart rate at 42 minutes = 2784 + (42 - 40) * 65.5 = 2915.5 Slope = (2915 - 2784) / (42 - 40) = 65.5
Using coordinates (42, 2915), and (44, 3048), respectively:
Cardiac rate at 42 minutes = 2915 + (42 - 42) * 66.5 = 2915 Slope: (3048 - 2915) / (44 - 42) = 66.5
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Will mark brainliest
 
                                                Answer: The third option
y = -6 + 2√6 ÷ 5 and y = -6 - 2√6 ÷ 5
Plz mark brainliest:)
which of the value of x make the equation x = x-5 false
Answer:
No value
Step-by-step explanation:
No number exists because x is always x and 0 is never -5.
Answer:
any value
Step-by-step explanation:
You want to know a value of x that makes x=x-5 a false statement.
SolutionThe value x is never equal to a value 5 less than itself. The given equation is false no matter what the value of x is.
x = x -5 is false for all values of x
What is the measure of angle b?
 
                                                Answer:
if those lines are parallel, then the m∠ = 92°
Step-by-step explanation:
The angle rule of corresponding angles or the corresponding angles postulate states that the corresponding angles are equal if a transversal cuts two parallel lines. Corresponding angles are equal if the transversal line crosses at least two parallel lines.
3. Does the point (5, 10) fall on the graph of this line? (The line described in questions #1 and #2). How do you know? Show your work algebraically (That is, don’t draw me a graph… show me using numbers, variables, and/or symbols). (2 points).
Since y is not equal to 10, hence the coordinate point does not fall on the line graph.
Since we are not given a graph, we will use the attached graph as a reference:
The equation of a line is expressed as y = mx + b
m is the slope
b is the y-intercept
Get the slope of the line
\(m = \frac{0-(-2)}{-2-0}\\m=\frac{2}{-2}\\m = 1\)
Since the line suts the y-axis at y = -2, hence b = -2
Get the equation of the line:
Recall that y = mx + b
y = x + (-2)
y = x - 2
Next is to check if the coordinate (5, 10) lies on the line
If x = 5
y = x - 2
y = 5 - 2
y = 3
Since y is not equal to 10, hence the coordinate point does not fall on the line graph.
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                                                            −8(y+9)=−40 What does y equal
Question on the attachment.. Please help
 
                                                Answer:
yehh it would be efffective
How far does the tip of a minute hand on a clock travel in 15 minutes if the distance from the center to the tip is 8cm? Leave your answers in terms of pi or round your answer to the nearest tenth.
SHOW WORK
 
                                                The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.
How to find the distance of the tip minute handThe distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.
The circumference of a circle is given by the formula:
C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.
The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.
The circumference of the circle traced by the tip of the minute hand is:
\(\text{C} = 2\pi \text{r}\)
\(= 2\pi (8)\)
\(= 16\pi \ \text{centimeters}\)
Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.
The distance traveled by the tip of the minute hand in 15 minutes is:
\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)
\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)
\(= 4\pi \ \text{centimeters}\)
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Answer:
4π cm ≈ 12.6 cm
Step-by-step explanation:
The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand: r = 8 cm.
A clock face is divided into 12 equal sectors (numbered 1 to 12).
It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.
This means that 15 minutes equals 3 sectors, which is a quarter of the circle.
To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.
The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:
\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)
Simplifying, we get:
\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)
\(\sf Distance=4 \pi\)
Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.
 
                                                            If the area of a circle is 64 ft2. What is the radius of the circle?
Answer:
4.51
Step-by-step explanation:
Answer:
r=4.51 ft
Step-by-step explanation:
Elyas is on holiday in Greece.
He wants to buy a pair of sunglasses for €90
The exchange rate is €1 = £0.875
Elyas says, "The sunglasses cost less than £70"
Using a suitable approximation, show that Elyas is wrong.
Answer:
To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.
To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.
Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.
We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds
Step-by-step explanation:
Mickey used these calculations to find how much he would spend on 7 cartons of eggs, if 12 cartons of eggs cost $22.20. Describe his error. 12 cartons(÷22.20) $22.22(÷22.20) Unit price = $0.54 $0.54(7) = $3.78
Answer:
Sample student response: Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
Step-by-step explanation:
Sample student response: Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
Answer:
Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line that passes through point P and is parallel to the given line? Select three options. (–4, 2) (–1, 3) (–2, 2) (4, 2) (–5, –1)
Answer:
the correct options are:
(–1, 3), (–2, 2) and (–5, –1)
Step-by-step explanation:
Given that a line passes through two points
A(-2, -4) and B(4, 2)
Another point P(0, 4)
To find:
Which points lie on the line that passes through P and is parallel to line AB ?
Solution:
First of all, let us the find the equation of the line which is parallel to AB and passes through point P.
Parallel lines have the same slope.
Slope of a line is given as:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
\(m=\dfrac{2-(-4)}{4-(-2)} = 1\)
Now, using slope intercept form (\(y = mx+c\)) of a line, we can write the equation of line parallel to AB:
\(y =(1)x+c \Rightarrow y = x+c\)
Now, putting the point P(0,4) to find c:
\(4 = 0 +c \Rightarrow c = 4\)
So, the equation is \(\bold{y=x+4}\)
So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.
So, the correct options are:
(–1, 3), (–2, 2) and (–5, –1)
Answer:
b,c,e
Step-by-step explanation:
I got it right on edge
During a school food drive, the
sophomores collected 62 more cans
than the freshmen collected.
Together, both classes collected 428
cans. Write an equation that can be
used to determine the number of
cans, c, the sophomores collected.
The equation that can be used to determine the number of cans, c, the sophomores collected is c = 428 - x and c = 295.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Let x be the cans collected by Freshmen
Now it is given that,
Sophomores collected, c = 62 + x
Total cans collected = 428
⇒ Cans collected by Freshmen + Sophomores collected = 428
⇒ Sophomores collected = 428 - Cans collected by Freshmen
⇒ Sophomores collected = 428 - x
⇒ c = 428 - x
this is the equation used to determine the number of cans, c, the sophomores collected.
∴ 62 + x = 428 - x
Taking alike terms together we get,
x + x = 428 - 62
⇒ 2x = 366
or, x = 133
Thus, Sophomores collected, c = 428 - 133
⇒ Sophomores collected, c = 295.
Thus,The equation that can be used to determine the number of cans, c, the sophomores collected is c = 428 - x and c = 295.
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Select a personal or professional example of a measurement you use routinely. Convert the measurement either from U.S customary units to metric units, or from metric units to U.S. customary units. You may choose more than one measurement and may choose among weight, length, temperature, etc. Show each step of your conversion and be sure to include all units from the original and converted measurements (for example, yards to meters, degrees Celsius to degrees Fahrenheit).
A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.
For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:
150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms
Therefore, 150 pounds is approximately equal to 68.0388 kilograms.
In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.
It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.
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A random number generator picks a number from 6 to 66 in a uniform manner. Round answers to 4 decimal places when possible.
The mean of this distribution is = 
The standard deviation is =
The probability that the number will be exactly 19 is P(x = 19) = 
The probability that the number will be between 28 and 46 is P(28 < x < 46) = 
The probability that the number will be larger than 48 is P(x > 48) = 
P(x > 17 | x < 62) = 
Find the 49th percentile =
Find the maximum for the lower quartile =
Answer:last one
Step-by-step explanation:
A random number generator picks a number from 6 to 66 in a uniform manner, its resultants are mathematically given as
X=36\(\sigma=5\)p(x=19)=0.2167P(28 < x < 46) =0.3 P(x > 48)=0.3P(x > 17 | x < 62) =0.75k=29.4h=15What is the mean of this distribution?Generally, the equation for Mean is mathematically given as
\(X=\frac{a+b}{2}\\\\Therefore\\\\X=\frac{6+66}{2}\)
X=36
b)
Generally, the equation for standard deviation is mathematically given as
\(\sigma=\sqrt{\frac{b-a}{12}^2}\\\\Therefore\\\\\sigma=\sqrt{(\frac{66-6}{12})^2}\\\\\sigma=\sqrt{25}\\\\\)
\(\sigma=5\)
c)
The probability that the number will be exactly 19
\(p(x=19)=\frac{19-6}{66-6}\)
p(x=19)=0.2167
d)
The probability that the number will be between 28 and 46 is P(28 < x < 46)
\(P(28 < x < 46) =\frac{46-6}{66-6} -(\frac{28-6}{66-6})\)
P(28 < x < 46) =0.3
e)
The probability that the number will be larger than 48 is P(x > 48)
\(P(x > 48)=1-P(x\leq 48)\)
Therefore
\(P(x > 48)=1-(\frac{48-6}{66-6})\)
P(x > 48)=0.3
f)
\(P(x > 17 | x < 62) = P(x\leq 62-P(x leq 17))\)
Therefore
\(P(x > 17 | x < 62) =\frac{62-6}{66-6}-(\frac{17-6}{66-6})\)
P(x > 17 | x < 62) =0.75
g)
The 49th percentile
\(p(x\leqk=k.(1/66-6))\)
Therefore
\(0.49=k*(1/(66-6))\)
k=29.4
h)
The maximum for the lower quartile
P(xl)=h*1/60
0.25=h*1/60
h=15
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The figure above represents a square sheet of cardboard with side length 40 inches. The sheet is cut and pieces are discarded. When the cardboard is folded, it becomes a rectangular box with a lid. The pattern for the rectangular box with a lid is shaded in the figure. Four squares with side length xx and two rectangular regions are discarded from the cardboard. Which of the following statements is true? (The volume V of a rectangular box is given by V=lwh).
A. When x=20x=20 inches, the box has a minimum possible volume.
B. When x=20x=20 inches, the box has a maximum possible volume.
C. When x=203x=203 inches, the box has a minimum possible volume.
D. When x=203x=203 inches, the box has a maximum possible volume.
Based on the histogram, can you determine exactly how many cars got 20 miles per gallon? Explain.
 
                                                Answer:
No -- histograms are generally divided into range groups, as seen in this graph, and we therefore cannot separate the cars who got 20 mpg relative to cars who got, for example, 21 mpg
Answer: 70 cars.
Step-by-step explanation: At 0 - 5 miles per gallon there are 0 cars. At 5 - 10 miles per gallon there are 15 cars. At 10 - 15 miles per gallon there are 20 cars. At 15 - 20 miles per gallon there are 35 cars. So the total cars at 0 - 20 miles per gallon = 0 + 15 + 20 + 35 70 cars.
What’s 86^19
Or 86 to the nineteenth power
Step-by-step explanation:
Hey there!
=86^19
This is also;
=86×86×86×86×86×86×86×86×86×86×86×86×86×86×86×86×86×86×86.
When you multiply these all you will get;
=\(5.694696374 \times {10}^{36} \)
This is your final answer.
Hope it helps..
The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.4. Suppose you purchase box after box until you have obtained two of these prizes. (a) What is the probability that you purchase x boxes that do not have the desired prize? nb(x; 2, 0.4) b(x; 2, 4, 10) b(x; 2, 0.4) h(x; 2, 4, 10) h(x; 2, 0.4) nb(x; 2, 4, 10)
(b) What is the probability that you purchase four boxes? (Round your answer to four decimal places.) (c) What is the probability that you purchase at most four boxes? (Round your answer to four decimal places.) (d) How many boxes without the desired prize do you expect to purchase? How many boxes do you expect to purchase?
a) Probability will be \(nb(x; 2, 0.4) = (x + 1 choose 2) * (0.4)^2 * (0.6)^(x)\)
b)Probability is b(2; 4, 0.4) = \((4 choose 2) * (0.4)^2 * (0.6)^2\) = 0.2304 (rounded to four decimal places)
c)b(2; 2, 0.4) =\((2 choose 2) * (0.4)^2 * (0.6)^0\) = 0.16
d)E(X) = r*(1-p)/p = 2*0.6/0.4 = 3 boxes
(a) The probability that x boxes do not have the desired prize can be modeled by a negative binomial distribution with parameters r=2 (since we want to obtain 2 prizes), p=0.4 (since the probability of obtaining the prize in any given box is 0.4), and x being the number of boxes purchased before obtaining the second prize. Therefore, the probability is given by:
\(nb(x; 2, 0.4) = (x + 1 choose 2) * (0.4)^2 * (0.6)^(x)\)
(b) The probability of purchasing four boxes and obtaining two prizes can be modeled by a binomial distribution with parameters n=4 (since four boxes are purchased), k=2 (since we want to obtain two prizes), and p=0.4 (since the probability of obtaining the prize in any given box is 0.4). Therefore, the probability is given by:
b(2; 4, 0.4) = \((4 choose 2) * (0.4)^2 * (0.6)^2\) = 0.2304 (rounded to four decimal places)
(c) The probability of purchasing at most four boxes and obtaining two prizes can be found by summing the probabilities of purchasing 2, 3, or 4 boxes and obtaining two prizes. Using the binomial distribution with parameters n=2 and p=0.4 for the case of purchasing 2 boxes and obtaining two prizes, we have:
b(2; 2, 0.4) =\((2 choose 2) * (0.4)^2 * (0.6)^0\) = 0.16
Using the negative binomial distribution with parameters r=2 and p=0.4 for the case of purchasing 3 boxes and obtaining two prizes, we have:
nb(1; 2, 0.4) = (1 + 2 choose 2) * (0.4)^2 * (0.6)^1 = 0.288
Using the negative binomial distribution with parameters r=2 and p=0.4 for the case of purchasing 4 boxes and obtaining two prizes, we have:
nb(2; 2, 0.4) = (2 + 2 choose 2) * (0.4)^2 * (0.6)^2 = 0.3456
Therefore, the probability of obtaining two prizes in at most four boxes is:
0.16 + 0.288 + 0.3456 = 0.7936 (rounded to four decimal places)
(d) The expected number of boxes without the desired prize can be found by multiplying the number of boxes needed to obtain the prize (on average) by the probability of not obtaining the prize, which is given by:
E(X) = (1 - p)/p = 0.6/0.4 = 1.5 boxes
The expected number of boxes needed to obtain two prizes can be found using the negative binomial distribution with parameters r=2 and p=0.4, which gives:
E(X) = r*(1-p)/p = 2*0.6/0.4 = 3 boxes
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what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Using the region names in the image below, select all regions that represent:
A ∩ B' ∩ C
3 group Venn Diagram with Roman numeral labeled regions
A intersection not B intersection C. Region I: Items only in group A, not in B or C. Region II: Items in A and B, but not C. Region III: Items only in B, not in A or C. Region IV: Items in A and C, but not B. Region V: Items in A, B, and C. Region VI: Items in B and C, but not A. Region VII: Items only in C, not in A or B. Region VIII: Items not in any of the groups.
Items in A and C, but not B is the required region.
What is set?Sets are groups of well-defined objects or components in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.
Given:
A ∩ B' ∩ C
That means,
A intersection not B intersection C.
B' is the complement of set B.
So, the region is,
Items in A and C, but not B.
Therefore, the items in A and C but not in B.
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Which expression is equivalent to the expression below?
 
                                                Answer:
i think its the 2nd answer
Step-by-step explanation:
Can you help me out with a question
In order to find the value of x, which coincides with one of the diagonals of the rhombus, use the following formula for the area of a rhombus:
A = (d1 · d2)/2
where d1 and d2 are the two diagonals of the figure.
In this case, you have:
A = 45
d1 = BD = 6
d2 = AC = x
replace the previous values of the parameters into the formula for A, and solve for x, as follow:
45 = (6·x)/2
45 = 3x divide by 3 both sides
45/3 = x
15 = x
x = 15
Hence, the value of x in the given rhombus ABCD, is 15 units
Identify the predictor variable and the response variable. A farmer has data on the amount of precipitation crops received and the harvest of the crops. The farmer wants to determine the harvest of his crop based on the amount of precipitation his crop received.
Answer:
The Predictor variable is the amount of precipitation received while the Response variable is the crop harvest.
Step-by-step explanation:
The Response variable in an experiment is the factor being measured or studied. They are also known as the dependent variables. Predictor variables are those values that explain the changes in the Response variable. They are also known as the independent variables.
In the question above, the amount of precipitation provides an explanation for the harvest of his crops. Therefore, the amount of precipitation can be rightly described as the predictor or independent variable, while the harvest of his crops is described as the response or dependent variable.
Use the figure at the right for Exercises 1-3.
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Can anyone help me pleaseee? 
 
                                                Answer:
TS is 3.7
UV is 7.9
SU is 6
Step-by-step explanation:
What is the slope of the line that passes through the points (8, -6) and (5, -1)
Answer:
-5/3
Step-by-step explanation:
trust me bro
Answer:
Use desmos
Step-by-step explanation:
Basically it is a graphing calculator put your points
*Based on a recent study, the pH level of the arterial cord (one vessel in the umbilical cord) is normally distributed with mean 7.21 and standard deviation of 0.15. Find the percentageof preterm infants who have the following arterial cord pH levels.a. pH levels between 7.00 and 7.50.b. pH levels over 7.29.a. The percentage of arterial cord pH levels that are between 7.00 and 7.50 is 0.89%(Round to two decimal places as needed.)b. The percentage of arterial cord pH levels that are over 7.29 is %(Round to two decimal places as needed.)
Given:
Based on a recent study, the pH level of the arterial cord (one vessel in the umbilical cord) is normally distributed.
The mean = μ = 7.21
The standard deviation = σ = 0.15
For the required, we will use the following formula to use the z-score:
\(z=\frac{x-\mu}{\sigma}\)==================================================================
Find the percentage of preterm infants who have the following arterial cord pH levels.
a. pH levels between 7.00 and 7.50.
So, we will find the value of z-score when x = 7 and when x = 7.5
\(\begin{gathered} x=7\to z=\frac{7-7.21}{0.15}=-1.4 \\ \\ x=7.5\to z=\frac{7.5-7.21}{0.15}=1.933 \end{gathered}\)So, we will find the probability of P( -1.4 < z < 1.933 ) from the z-tables
\(P(-1.4The answer as a percentage = 89.26%==================================================================
Find the percentage of preterm infants who have the following arterial cord pH levels. b. pH levels over 7.29.
So, we will find the value of the z-score when x = 7.29
\(x=7.29\to z=\frac{7.29-7.21}{0.15}=0.533\)So, we will find the probability of P ( z > 0.533 )from the z-tables
\(P(z>0.533)=0.2969\)So, the answer as a percentage = 29.69%
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