9514 1404 393
Answer:
3) y = -1
5) x = -14
Step-by-step explanation:
The first step is to recognize that the equation describes a vertical line in problem 3 and a horizontal line in problem 5. The perpendicular to a vertical line is a horizontal line, and vice versa.
__
3. To make the desired horizontal line go through the point (-8, -1) the y-value of the line must match that of the point:
y = -1
__
5. To make the desired vertical line go through the point (-14, 81), the x-value of the line must match that of the point:
x = -14
or each scenario, decide whether the design uses independent samples (two-sample t) or dependent samples (paired t) methods.
It is often said that economic status is related to the commission of crimes. To test this theory, a sociologist selects a random sample of seventy people, all of whom live in the same city and none of whom has a criminal record, and records their annual incomes. Similarly, a random sample of sixty criminals from the same city (each one a first‑time offender) is selected, and the annual income (prior to arrest) is recorded for each. The annual incomes are recorded in thousands of dollars.
2. A farmer is interested in determining which of two soil fumigants, A or B, is more effective in controlling the number of parasites in a particular crop. To compare the fumigants, six small fields are divided into two equal areas. Fumigant A is applied to one part and fumigant B to the other. Crop samples of equal size are taken from each of the twelve plots and the number of parasites per square foot is counted.
3. A college counseling center has just added an assertiveness training course to its services. To measure the effectiveness of the course, twenty students are given a test at the beginning of the course and again at the end. A high score on the test implies high assertiveness.
The effectiveness of the two fumigants is being compared within the same crop. Therefore, the design uses dependent samples (paired t) methods to compare the effectiveness of the two soil fumigants.
In the given scenarios, let's determine whether the design uses independent samples (two-sample t) or dependent samples (paired t) methods.
Relationship between economic status and crime:The sociologist selects a random sample of seventy people without criminal records and records their annual incomes. Additionally, a random sample of sixty criminals (first-time offenders) from the same city is selected, and their annual incomes prior to arrest are recorded.
In this scenario, the two groups (people without criminal records and criminals) are independent samples since they are separate groups with no overlap. The incomes of the individuals in each group are not paired or related to each other. Therefore, the design uses independent samples (two-sample t) methods to compare the relationship between economic status and crime.
Comparison of two soil fumigants:
The farmer wants to determine which of two soil fumigants, A or B, is more effective in controlling the number of parasites in a particular crop.
In this scenario, the farmer compares the effectiveness of two different treatments (soil fumigants A and B) on the same crop. The treatments are applied to the same crop, and the number of parasites is measured for each treatment.
Since the same crop is used for both treatments, the observations are paired or dependent. The effectiveness of the two fumigants is being compared within the same crop. Therefore, the design uses dependent samples (paired t) methods to compare the effectiveness of the two soil fumigants.
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Reduce each expression to a polynomial
((y-b)^(2))/(y-b+1)+(y-b)/(y-b+1)
The given expression ((y-b)²/(y-b+1)+(y-b)/(y-b+1) after being reduced to a polynomial, can be represented as y-b.
In order to reduce the given equation to a polynomial, we are required to simplify and combine like terms. First, we can simplify the expression in the numerator by expanding the square:
((y-b)²/(y-b+1) = (y-b)(y-b)/(y-b+1) = (y-b)²/(y-b+1)
Now, we can combine the two terms in the equation by finding a common denominator:
(y-b)²/(y-b+1) + (y-b)/(y-b+1) = [(y-b)² + (y-b)]/(y-b+1)
Next, we can combine the terms in the numerator by factoring out (y-b):
[(y-b)² + (y-b)]/(y-b+1) = (y-b)(y-b+1)/(y-b+1)
Finally, we can cancel out the common factor of (y-b+1) in the numerator and denominator to get the polynomial:
(y-b)(y-b+1)/(y-b+1) = y-b
Therefore, the equation ((y-b)²)/(y-b+1)+(y-b)/(y-b+1) after being simplified, is equivalent to the polynomial y-b.
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test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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Use multiplication or division to find the missing number
2/5 = ?/15
HELP IVE BEEN ON THIS QUESTION FOR HOURS!!
god bless you and your family if your reading this .
What is 2/5 of 15?
Want to quickly learn or show students how to convert 2/5 of 15? Play this very quick and fun video now!
How to Calculate the Fraction of a Whole Number
How to Calculate the Fraction of a Whole Number
You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.
Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:
15
1
So now that we've converted 15 into a fraction, to work out the answer, we put the fraction 2/5 side by side with our new fraction, 15/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
2 x 15
5 x 1
=
30
5
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 5 is 5.
We can now divide both the new numerator and the denominator by 5 to simplify this fraction down to its lowest terms.
30/5 = 6
5/5 = 1
When we put that together, we can see that our complete answer is:
6
1
The complete and simplified answer to the question what is 2/5 of 15 is:
6
hope this helps
Missing number is 6
Set up the proportion
\( \frac{2}{5} = \frac{x}{15} \)
Cross multiply to get 5x=30.
Divide both sides by 30 to get the answer
5x÷5=30÷5
x=6
Which graph represents the function y-3 =3/2 (x-4)?
Answer:
Below.
Step-by-step explanation:
You haven't sent the graphs.
y - 3 = 3/2(x - 4)
y - 3 = 3/2x - 6
y = 3/2x - 3
- this is the slope intercept form of the graph.
It will be a straight line which rises to the right and passes through the y axis where y = -3. Also it has a slope of 3/2.
Wne y = 0 x = 2 so it passes through the x-axis at x = 2.
Answer:
The correct representation to the given function is graph A
if you rolled two dice, what is the probability that you would roll a sum of4?
To calculate the probability of rolling a sum of 4 on two dice, we need to first list all the possible outcomes of rolling two dice. There are 36 possible outcomes, since each die has 6 possible outcomes and there are 6 × 6 = 36 possible combinations.
Out of these 36 outcomes, there are three ways to get a sum of 4: rolling a 1 on the first die and a 3 on the second, rolling a 2 on the first die and a 2 on the second, or rolling a 3 on the first die and a 1 on the second. Therefore, the probability of rolling a sum of 4 is 3/36, which simplifies to 1/12 or approximately 0.0833.
Hi! I'd be happy to help you with this probability question involving two dice.
To find the probability of rolling a sum of 4, follow these steps:
1. Determine the total possible outcomes: Since each die has 6 sides, there are 6 x 6 = 36 possible outcomes when rolling two dice.
2. Identify the favorable outcomes that result in a sum of 4: These are (1, 3), (2, 2), and (3, 1). There are 3 favorable outcomes.
3. Calculate the probability: Divide the number of favorable outcomes by the total possible outcomes.
Probability = (Favorable outcomes) / (Total possible outcomes) = 3 / 36 = 1 / 12
So the probability of rolling a sum of 4 when rolling two dice is 1/12 or approximately 8.33%.
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What is the area of a regular pentagon if its apothem has a length of 4 feet and each side has a length of 5.8 feet?
a 139.2 ft?
b. 58 ft2
C. 116 ft2
d 69.6 ft-
The area of a regular pentagon is 58 ft2. thus option B is correct.
What is apothem?Apothem for a regular polygon is a line segment that originates from the center of the regular polygon and touches the mid of one of the sides of the regular polygon.
It is perpendicular to the regular polygon's side it touches.
Given; An apothem has a length of 4 feet and each side has a length of 5.8 feet.
The area of any regular polygon can be calculated as:
Area = number of sides (n) x 0.5 x length of sides (s) x apothem (a)
Area = 5 x 0.5 x 4 x 5.8
Area = 58
Hence, the area of a regular pentagon is 58 ft2. thus option B is correct.
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In the mexican war, a u.s. army invaded mexico, occupied northern mexico, captured monterrey, and defeated santa anna's army at buena vista. this u.s. army was led by
The Mexican-American War was a defining moment in the history of both Mexico and the United States. It marked the first time the United States had fought a war outside its own borders, and it had far-reaching consequences for both countries.
In the mexican-American War, the U.S. Army invaded Mexico in 1846 with the goal of annexing Texas. The U.S. Army, under the leadership of General Zachary Taylor, occupied northern Mexico, capturing Monterrey in September of that year. Monterrey was an important strategic location for the Mexican government, and its capture by the U.S. Army was a significant blow to the Mexican war effort.
The U.S. Army continued its march into Mexico and defeated Santa Anna's army at Buena Vista in February 1847. This victory paved the way for the eventual U.S. victory in the war, which resulted in Mexico ceding nearly half of its territory to the United States. This territory included present-day California, Arizona, New Mexico, Nevada, Utah, and parts of Colorado, Wyoming, Kansas, and Oklahoma.
The Mexican-American War was a defining moment in the history of both Mexico and the United States. It marked the first time the United States had fought a war outside its own borders, and it had far-reaching consequences for both countries. Monterrey, in particular, played a significant role in the war, as its capture was a crucial turning point in the U.S. Army's campaign in northern Mexico.
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Identify the area of the figure rounded to the nearest tenth.
Please give an Explanation :)
Answer:
67.5 cm²
Step-by-step explanation:
The figure can be decomposed into figures whose area formulas you know.
DecompositionAs the attached figure shows, one way to decompose the figure is by extending the horizontal line. This divides the figure into an upper trapezoid and a lower rectangle.
TrapezoidThe area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
where b1 and b2 are the parallel bases, and h is the height.
The bases of the trapezoid in this figure are 6 and 3 cm, and the height is 5 cm. Its area is ...
A = 1/2(6 cm +3 cm)(5 cm) = 22.5 cm²
RectangleThe area of a rectangle is given by the formula ...
A = LW
where L and W represent the length and width, respectively.
The dimensions of the rectangle in this figure are 15 cm long by 3 cm wide. Its area is ...
A = (15 cm)(3 cm) = 45 cm²
Total areaThe total area of the figure is the sum of the areas of the trapezoid and rectangle:
A = (22.5 cm²) + (45 cm²) = 67.5 cm²
The are of the figure is 67.5 cm².
3(s + 1) = 9
What is this answer
Answer:
the answer is 2
Step-by-step explanation:
3(1) is 3, this means that your multiplying. 3*3 is 9. if you add 2 to 1 you'll have 3, so 3*3=9 or 3(3)=9
Answer:
s=2
Step-by-step explanation:
Question 5 (5 points)
What is the volume of the right prism?
35 in.
37 in.
12 in.
40 in.
The volume of the right prism include the following: 8,640 in³.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height or depth of a rectangular prism.Next, we would determine the area of the triangle at the base of the right prism as follows:
Base area = 1/2 × ( 36 × 12)
Base area = 1/2 × 432
Base area = 216 in².
Now, we can calculate the the volume of this right prism:
Volume = base area × height
Volume = 216 × 40
Volume = 8,640 in³.
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Math in the Real World Terrell plotted points on the coordinate plane as shown. He noticed that the points lie on a straight line. Write an equation that shows the relationship between the x- and y-coordinate of each point Terrell plotted. Then use the equation to find the y-coordinate of a point on the line with an x-coordinate of 20. YA 10 8 6 2 (5.2) (9,6) (8,5) (3, 0) 0 2 4 6 8 10 x
POINTS:50 (EMERGENCY!)
How would you set this problem up to find x?
Answer:
33x - 13 = 13x + 7
Step-by-step explanation:
If "G" is the midpoint of line FH, then both segments (lines FG and GH) must be the same length. Therefore, to find "x", you can set both segments equal to each other. After doing this, you can simplify and isolate to find "x".
FG = 33x - 13
GH = 13x + 7
FG = GH
33x - 13 = 13x + 7
\(\huge\text{Hey there!}\)
\(\huge\textbf{Assuming that your equation should}\\\huge\textbf{look like that: }\)
\(\mathbf{33x - 13 = 13x + 7}\)
\(\huge\textbf{If so:}\)
\(\mathbf{33x - 13 = 13x + 7}\)
\(\huge\textbf{SUBTRACT 13x to BOTH SIDES}\)
\(\mathbf{33x - 13 - 13x = 13x + 7 - 13x}\)
\(\huge\textbf{SIMPLIFY IT!}\)
\(\mathbf{20x - 13 = 7}\)
\(\huge\textbf{ADD 13 to BOTH SIDES}\)
\(\mathbf{20x - 13 + 12 = 7 + 13}\)
\(\huge\textbf{SIMPLIFY IT!}\)
\(\mathbf{20x = 20}\)
\(\huge\textbf{DIVIDE 20 to BOTH SIDES}\)
\(\mathbf{\dfrac{20x}{20} = \dfrac{20}{20}}\)
\(\huge\textbf{SIMPLIFY IT!}\)
\(\mathbf{x = \dfrac{20}{{20}}}\)
\(\mathbf{x = 1}\)
\(\huge\text{Answer: \boxed{\mathsf{33x - 13 = 13x + 7}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
how many miles from the runaway airplane at the start of this approach.
Answer:
it should be 41 ml I think.
If \text{m}\overset{\Large\frown}{DR} = 34^{\circ}m DR ⌢ =34 ∘ and \text{m}\overset{\Large\frown}{SV} = 94^{\circ}m SV ⌢ =94 ∘ , find \text{m}\angle Lm∠L
The measures of the corresponding inscribed angles, and then add those angles together to find the measure of angle L. Therefore, the measure of angle L is 64 degrees.
The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. In other words, if we have an angle whose vertex is on the circumference of a circle, and whose sides intersect two points on the circumference, then the measure of the angle is half the measure of the arc between those two points.
In this problem, we are given the measures of two arcs, DR and SV, and we want to find the measure of angle L. We can start by using the Inscribed Angle Theorem to find the measures of the corresponding inscribed angles. Let's call these angles A and B, where A is the inscribed angle that intercepts arc DR, and B is the inscribed angle that intercepts arc SV.
Using the Inscribed Angle Theorem, we can find that m∠A=12m⌢DR=12(34∘)=17∘m∠B=12m⌢SV=12(94∘)=47∘
To find the measure of angle L, we simply add angles A and B together: m∠L=m∠A+m∠B=17∘+47∘=64∘
Therefore, the measure of angle L is 64 degrees.
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does 23 26 50 make a triangle
If a 9-foot flagpole casts a 6-foot
shadow, how tall is the woman who
casts a 4-foot shadow?
Answer:
probably about like 2 feet
Step-by-step explanation:
beetlejuice
Hi guys
how many is 45÷0,5=
Thanks for this answer
Answer:
See below.
Step-by-step explanation:
45/0.5 can also be written as 45*2.
So, 45/0.5 is 90.
-hope it helps
Find the slope and y-intercept of each line from the given equation.
y = 3x + 4
Slope:
y-intercept:
y = -2x - 3
Slope:
y-intercept:
I just need it answered clearly, I HAVE to pass this quiz.
y= 3x + 4
Slope: 3
y-intercept: (0,4)
y= -2x - 3
Slope: -2
y-intercept: (0,-3)
A graph of f(x)=acos(bx) is shown, where b is a positive constant. Determine the values of a and b.
Answer:
Option (1)
Step-by-step explanation:
Equation of the given wave function,
f(x) = acos(bx)
Here, a = amplitude of the wave
Period of the wave = \(\frac{2\pi }{B}\)
From the graph attached,
Amplitude = \(\frac{4-(-4)}{2}\)
= \(\frac{4+4}{2}\)
= 4
Period of the wave = π - 0
= π
From the formula of the period,
Period = \(\frac{2\pi }{b}\)
\(\pi =\frac{2\pi }{b}\)
b = 2
Therefore, a = 4 and b = 2.
Option (1) will be the answer.
#1
{(3, 7), (2, 4), (-1, 7), (0, 2)}
The domain is...
The range is....
A microwave originally costs $96, but is marked up to a price of $115.20. What is
the percent increase?
Answer:
20% increase
Step-by-step explanation:
I am just talking to answer but yes I am sure
Can anyone give me the answers and like a better explanation than my teacher
The Area of shaded regions is shown below.
1. Area of shaded region
= Area of rectangle - Area of Triangle
= 9 x 7 - 1/2 x 7 x 6
= 63 - 21
= 42
2. Area of shaded region
= Area of rectangle - Area of semicircle
= 12 - 6.28
= 5.72
3. Area of shaded region
= 6 x 7 + 2x 5
= 42 + 10
= 52
4. Area of shaded region
= 43 x 30 - 2 (3.14 x 10 x 10)
= 1290 - 628
= 662
5. Area of shaded region
= 12 x 8 + 3.14 x 8 x 8 /2
= 96 + 100.48
= 196.48
6. Area of shaded region
= 8 x 10 + 2 x 4 x 2
= 80 + 16
= 96
7. Area of shaded region
= 1/2 x 24 x 24 - 18 x 6
= 288 - 108
= 180
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[6.01] Samra went to San Francisco for a vacation. She spent four nights at a hotel and rented a car for two days. Andres stayed at the same hotel and also spent four nights, but he rented a car for five days from the same company. If Samra paid $500 and Andres paid $740, how much did one night at the hotel cost?
Using substitution method, the cost of hotel per night is $ 85
Let hotel cost per night = x
Let car rental per day = y
For Samra4x + 2y = 500 ____(1)
For Andres4x + 5y = 740 ____(2)
Solving for x in the equation
Equation (1) - (2)
-3y = - 240
y = 80
Substitute the value of y in (1)
4x + 2(80) = 500
4x + 160 = 500
4x = 500-160
4x = 340
x = $85
Therefore, hotel cost per night is $85
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What innovation was made possible in part because of the Carterfone decision in 1968? Select one a. COBOL b. radiospectrum allocation c. the public Internet d. SMS
The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C
The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.
This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.
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Is the equation y = 3x in slope-intercept form? Explain.
The slope is
and the y-intercept is
If m∠AED = 35°, what is m∠ABC?
The measure of angle ABC is given as follows:
m < ABC = 145º.
What are supplementary angles?Two angles are defined as supplementary angles when the sum of their measures is of 180º.
In a parallelogram, we have that the opposite angles are supplementary.
The opposite angles for this problem are given as follows:
<AED.<ABC.Hence the measure of angle ABC is given as follows:
m < ABC + 35º = 180º.
m < ABC = 145º.
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Draw a diagram and solve
Answer:
2378 m
Step-by-step explanation:
You want the ground distance from the takeoff point to an airplane that has flown 2500 m in the air at a takeoff angle of 18°.
CosineThe cosine relation tells you ...
Cos = Adjacent/Hypotenuse
Adjacent = Hypotenuse · Cos
ApplicationHere, the hypotenuse of the right triangle model is 2500 m, the angle is 18°, and we want to find the side of the triangle adjacent to the angle:
AD = AP·cos(18°) = 2500·0.9510565 ≈ 2377.64 ≈ 2378 . . . . meters
The ground distance is about 2378 m.
4y + 3 ≤ 5 - 10y nhttjj
Answer:
heres ur answer
Step-by-step explanation:
Suppose that y varies directly with x, and y=4 when x=16.
Answer:
see explanation
Step-by-step explanation:
(a)
given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the condition y = 4 when x = 16 , so
4 = 16k ( divide both sides by 16 )
\(\frac{4}{16}\) = k , then k = \(\frac{1}{4}\)
y = \(\frac{1}{4}\) x ← equation of variation
(b)
when x = 3 , then substituting into the equation
y = \(\frac{1}{4}\) × 3 = \(\frac{3}{4}\)