Answer:
For the answer range you can pick anything in the shaded blue! Too make it bigger it would be (1,5) (1,-1) and (-1,6)
Step-by-step explanation:
At a restaurant, a survey was conducted to find which beverage the customers preferred. In the survey, every woman customer was asked which beverage was her favorite. Were the results of the survey valid
Answer: No, because the sample was not random.
Step-by-step explanation:
For the results to have been valid, the sample would have had to be random meaning that only some of the people were chosen to participate at random.
Instead, EVERY woman customer was asked which means they were not chosen at random as they should have been. Also, they only surveyed women when they should have taken a proper sample consisting of all customers.
Answer:
No, because the sample was not random.
Step-by-step explanation:
In the right ∆ABC, BL is an angle bisector. If LB = 1.2 in and LC = 0.6 in.
Find the distance from L to AB
AND find the measurement of
Answer:
\(\overline {LD}\) = 0.6 inch
m∠ABC = 60°
Step-by-step explanation:
The given parameters are;
The given triangle ΔABC = A right triangle
The angle bisector of ∠CBA = BL
The length of BL = LB = 1.2 in.
The length of LC = 0.6 in.
We have;
\(\overline {LB}\) ≅ \(\overline {LB}\) reflexive property
∠ABC = ∠CBL + ∠DBL and ∠CBL ≅ ∠DBL definition of bisected angle
∠CBL = ∠DBL by definition of congruency
∠CLB + ∠CBL = ∠CLB + ∠DBL = 90°, opposite angles of a the right angle triangle are supplementary
∴ ∠CLB = ∠CLB by addition property of equality
ΔLDB ≅ ΔLBC are congruent by the Angle-Side-Angle rule of congruency
∴ \(\overline {LD}\) ≅ \(\overline {LC}\) Congruent Parts of Congruent Triangles are Congruent (CPCTC)
\(\overline {LD}\) = \(\overline {LC}\) = 0.6 in. by definition of congruency
\(\overline {LD}\) = 0.6 in.
sin(m∠CBL) = Opposite side/(Hypotenuse side) = \(\overline {LC}\)/\(\overline {LB}\) = 0.6/1.6 = 1/2
m∠CBL = sin⁻¹(1/2) = 30°
m∠CBL = m∠DBL = 30°
m∠ABC = m∠CBL + m∠DBL = 30° + 30° = 60°
m∠ABC = 60°
RUE or FALSE: residuals measure the vertical distance between two observations of the response variable.
The statement "TRUE" is the answer to the question "TRUE or FALSE: residuals measure the vertical distance between two observations of the response variable.
Residuals are the difference between the predicted value and the actual value. It's also referred to as the deviation. The error or deviation of an observation (sample) is computed with a residual in statistical analysis. The residual is the deviation of an observation (sample) from the prediction value or the mean value of a sample.In a linear regression, the residual is the vertical distance between the actual and predicted values.
The vertical distance between the actual and predicted values is used to compute the deviation (error) of the observation. Therefore, the statement "TRUE" is correct because residuals measure the vertical distance between two observations of the response variable.
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Calculate the area of the rectangle.
Answer:
12
Step-by-step explanation:
You count all of the blue squares
(b) a telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 6 to 13. what is the probability of a successful call? (round your answer to two decimal places.)
Probability of a successful call 0.3157 = 31.57%
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will learn the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
A probability is the number of desired outcomes divided by the number of total outcomes.
The odds of making a sale on a single call are 6 to 13.
This means that in 6+13 = 19 calls, 6 are successful.
What is the probability of a successful call?
p = 6/19 =
0.3157 = 31.57% probability of a successful call.
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Use point-slope form to write the equation of a line that passes through the point (4,11)(4,11) with slope 8/5
The equation of the line that passes through the point (4,11) with slope 8/5 in point slope form is y - 11 = 8/5 (x - 4).
How to write equation in point slope form?Linear equation can be represented in point slope form as follows:
y - y₁ = m(x - x₁)
where
m = slopex₁ and y₁ are the variables.Therefore, let's find the equation of the line that passes through the point (4,11)with slope 8/5.
slope = m = 8 / 5
Hence, let's represent the equation of the line using the formula for point slope form.
x₁ = 4
y₁ = 11
Therefore, the equation is y - 11 = 8/5 (x - 4)
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Determine the measure of arc cad thanks grade 9-10-11 it is either 240 or 260
The measure of arc CAD is either 240 or 260.
How to do measure of arc?Without additional information, it is not possible to determine the measure of arc CAD with certainty. The measure of an arc depends on the central angle that subtends it.
If the central angle is known, the measure of the arc can be calculated using the formula: measure of arc = (central angle / 360) x circumference of the circle. However, without knowing the central angle, we cannot determine the measure of arc CAD.
Therefore, we need to be provided with additional information such as the measure of another angle that is related to the central angle, or the length of a chord that subtends the arc in order to determine the central angle and the measure of arc CAD.
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Help how to do it because this is hard
11. Arianna wants to paint her bedroom. The room is 21 feet by 14 feet by 6 feet high. How many cans of paint will she need if each gallon covers 120 square feet.
Answer:
Step-by-step explanation:
its not 12 fyi oh btw question is in the picture btw this is middle school not high school
Answer:
6in^2
Step-by-step explanation:
formula of a triangle: l x h : 2
4 x 3 = 12
12 : 2 = 6^2
18 24 11 What is the area of the triangle shown? A.99 square units
В. 132 square units
C. 198 square units
D.264 square units
Answer: I think B
Step-by-step explanation:
I NEED HELP ASAP!!! #32!!
Answer:
If it's parallel, then it has the same slope.
Find the slope from the two coordinates and compare the slope to see which ones are right.
You should get a slope of like 2/3 from the two points, so the only equation with the same slope is B.
Your answer is B.
Find the missing angle. *
Please help ASAP! giving 100 points Use a decimal number to describe the shaded amount.
0.2
0.5
0.05
0.15
Answer:
B. 0.5
Step-by-step explanation:
There are 10 circles in total. 5 are shaded in.
We would make that a fraction.
5/10
Then we would convert it to a percent
50%
Then we will convert it to a decimal
0.5
Therefore, your answer would be B. 0.5
Janice’s family grows tomato plants on a rectangular plot of land. The total area of the garden is ⅜ square meters, and the length of the rectangle representing this piece of land is ½ meters. What is the width of the garden?
Answer:
The correct answer is 3/4 meters.
Step-by-step explanation:
-We know that the area is 3/8 square meters
-And that the length is 1/2 meters
We need to find out what the width is.. But how?
Remember that, length x width is the key to finding the Area.
L x W = A
If we divide the Area by Length, we can find the missing width to this equation.
3/8 divided by 1/2
= 3/4
if 3m + 1 > 7, what is one possible value for m?
Anything above 2.
It isn't 2 because 3x2=6+1=7, and we need a number greater than 7.
---
hope it helps
Answer:
m = 3+
Step-by-step explanation:
3m + 1 > 7 becomes
3(3) + 1 > 7 which becomes
9 + 1 > 7 which becomes
10 > 7.
The inequality is true.
Hope this helps. Have a nice day.
A buoy is 150 meters away from the base of a wind turbine the angle of elevation from the buoy to the top of the wind turbine is 28 degrees
what is the height of the wind turbine?
give your answer in 2 d. P
The height of the wind turbine where the distance from it's base to buoy is 150 meters and angle of elevation is 28°, is equals to the 281.95 meters.
See the above figure carefully. Let there present right angled triangle be ∆ABC. We have length of buoy away from the base of a wind turbine(AB), BC = 150 meters
Angle of elevation from the buoy to the top of the wind turbine, BAC = 28°
We have to determine height of the wind turbine that is length of AB. As we see this is a right angled triangle so we will use trigonometric functions. Now, tangent function of angle
= height/base length. Here, consider the function for angle 28°, so tan (28°) = BC/AB
=> tan (28°) = 150/AB
=> AB = 150/tan (28°)
=> AB = 150/0.532
=> AB = 281.954887218 ~ 281.95
Hence, required value is 281.95 meters.
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Complete question:
The above figure comples the question. A buoy is 150 meters away from the base of a wind turbine the angle of elevation from the buoy to the top of the wind turbine is 28 degrees
what is the height of the wind turbine?
give your answer in 2 d. P
Systolic Blood Pressure (SBP) of 13 workers follows normal distribution with standard deviation 10. SBP are as follows: 129, 134, 142, 114, 120, 116, 133, 142, 138, 148 , 129, 133, 140_ Find the 99%0 confidence interval for the mean SBP level: (124.84 (129.84 (126.84 (125.84 139.16) 139.16) 137.16) 138.16)
Answer:The 99% confidence interval is
To find the 99% confidence interval for the mean systolic blood pressure (SBP) level, we use the formula:
CONFIDENCE INTERVAL = Mean ± Z * (Standard Deviation / √n)
Where:
Mean is the sample mean of SBP
Z is the Z-score corresponding to the desired confidence level
Standard Deviation is the population standard deviation
Explanation:
Given that the sample size is 13 and the standard deviation is 10, we need to calculate the sample mean and the Z-score for the 99% confidence level.
First, we calculate the sample mean:
Mean = (129 + 134 + 142 + 114 + 120 + 116 + 133 + 142 + 138 + 148 + 129 + 133 + 140) / 13
= 1724 / 13
≈ 132.62
Next, we need to determine the Z-score for a 99% confidence level. The Z-score can be found using a Z-table or a statistical calculator. For a 99% confidence level, the Z-score is approximately 2.576.
Now, we can calculate the confidence interval:
Confidence Interval = 132.62 ± 2.576 * (10 / √13)
132.62 ± 2.576 * (10 / 3.6056)
≈ 132.62 ± 2.576 * 2.771
≈ 132.62 ± 7.147
Therefore, the 99% confidence interval for the mean SBP level is approximately (125.47, 139.77).
Solve:
\(0=x^{5}+x^{4}-20x^{3}-68x^{2}-80x-32\)
The solution to the equation is x = -2, -1.46, -1, x = 5.46
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
0 = x^{5}+x^{4}-20x^{3}-68x^{2}-80x-32
Express properly
So, we have
x^5 + x^4 - 20x^3 -68x^2 -80x - 32 = 0
Next, we plot the graph of x^5 + x^4 - 20x^3 -68x^2 -80x - 32 = 0 to determine the solution graphically
See attachment for graph
From the graph, we have
x = -2, -1.46, -1, x = 5.46
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Find the value of x?
Step-by-step explanation:
so, we have a kite here.
a kite is a quadrilateral, that is totally symmetric along one of its diagonals.
the sum of all internal angles of a quadrilateral is always 360°.
remember, the sum of all angles around one point on one side of a line is always 180°.
a full circle airways represents 360°.
the inner angle at 140° is
180 - 140 = 40°
the inner angle at 250° is
360 - 250 = 110°
the inner angles at x and its opposing corner are equal (due to the symmetry) and are in sum with the other 2 inner angles 360°.
so, we have for the inner angles
360 = 110 + 40 + 2×xinner
210 = 2×xinner
the inner angle of x = 105°.
x (the outer angle of the inner angle of x) is
x = 360 - 105 = 255°
what is the solution of 6x=15
Answer:
2.5
Step-by-step explanation:
between 2 and 3 because 6×2=12 and 6×3=18
To make tea, use 1
6
6
1
teaspoon of tea per ounce of water plus a teaspoon for the pot. Use the inverse to find the number of ounces of water needed if 7 teaspoons of tea are used.
Using the given ratio, we can set up a proportion to find the number of ounces of water needed if 7 teaspoons of tea are used. Let x be the number of ounces of water needed:
1 teaspoon / 6 ounces = 7 teaspoons / x + 1 teaspoon
Multiplying both sides by the denominator on the right side gives:
x + 1 = 7 teaspoons * 6 ounces / 1 teaspoon
Simplifying the right side gives:
x + 1 = 42 ounces
Subtracting 1 from both sides gives:
x = 41 ounces
Therefore, 41 ounces of water are needed if 7 teaspoons of tea are used.
In summary, to find the number of ounces of water needed if 7 teaspoons of tea are used, we can use the inverse of the given ratio and set up a proportion to solve for x. The resulting proportion shows that 41 ounces of water are needed to make the tea.
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Which Is The Simplified Rational Expression?
Answer:
1st choice
Step-by-step explanation:
(r² -4r + 5 - r² -2r + 8) / (r - 4)
= (-6r + 13) / (r - 4)
Solve for x and simplify 2x<15
Answer:
x < 7.5
Step-by-step explanation:
sat scores in one state is normally distributed with a mean of 1403 and a standard deviation of 200. Suppose we randomly pick 32 SAT scores from that state. a) Find the probability that one of the scores in the sample is greater than 1484. P(X > 1484) = b) Find the probability that the average of the scores for the sample of 48 scores is greater than 1484 P(X > 1484) = Round each answer to at least 4 decimal places.
The probability that one of the scores in the sample is less than 1484 is 0.2437 .
a)Given that mean u = 1403
standard deviation σ = 200
sample size n = 32
P(x>1484) = P(X-u/σ > 1484-1403/200)
= P (z > 0.405)
P(x>1484) = 0.2437 .
hence the probability that one score is greater than 1484 is 0.405 .
b) Now we have to find the average of the scores of 48 samples.
P(x>1484)
= P(x-μ/ σ/√n> 1484-1403 /200/√48)
= P(z>2.805.)
Now we will use the normal distribution table to calculate the p value to be 0.002516.
p-value = 0.0025
Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.
They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.
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Day 1 BCSS Night School – May 2022 Advanced Medical Functions - Background D.O.B.: June 6, 1995 Height: 182.9 cm (6'0") Weight: 61.4 kg (135 lbs) Location: Welland, Ontario, Canada On December 29, 2010, Mr. Mathews was examined by Dr. Andersen at the General Hospital in Welland, Ontario. Mathews complained of chronic excess gas, abdominal bloating, distension, diarrhea and abdominal pain. The patient reported that his symptoms have been re- occurring and have fluctuated in intensity over the past eighteen months. Mathews initially theorized that this condition was the result of a poor diet, consisting mainly of greasy "fast" foods. Over the last two months Mathews had changed his eating habits and lifestyle to include healthy foods and exercise. This modification did not have any effect on his condition and he was concerned about his dramatic weight loss over the past three months. Mathews appeared distraught and genuinely concerned for his health. Day 1-Part A - Tho Anatomy Dr. Andersen, a specialist on the human gastronomic system, determined that many of the symptoms elicited by Mathews could be directly related to a problem in either the small or large intestine. A battery of tests were performed on Mathews, two noteworthy results are described below. The first procedure was performed in the interest of collecting bacterial culture swabs of Mathews' small intestine. A long flexible tube is passed through the nose, down the throat and esophagus and through the stomach. A small camera, attached to the top of the tube recorded every twist and tum of the journey. It was performed under X-ray guidance. The data from both the camera and the x- ray machine were used to create a detailed sketch of Mathews gastronomic tract. Question 1 (10 marks) A specific section of Mathews gastronomic tract can be modeled by the function g(x) = -x +11x -43x'+69x - 36x, where x represents distance traveled by the scope, in cm, and g(x) refers to the vertical height within the body relative to the belly button, in cm. a) Rewrite this equation in factored form. Show all of your work. (5K) b) Use this information to sketch a graph, by hand, of this section of Mathews' small intestine. (2A,T) c) Determine the domain of this function. (1K) d) Bacterial culture samples were taken at two unique points along the journey. Clearly mark these points on your graph. (2A) . At the first turning point • At the only root with order two
a). The factored form of the given equation is:
g(x) = (x - (79 + √129)/22) (x - (79 - √129)/22)
b). The vertex of the parabola is (3.59, -36.35)
c). At the first turning point, x ≈ 0.61At the only root with order two,
x ≈ 5.67
a) Let's simplify the expression for the equation in factored form.
g(x) = -x + 11x - 43x' + 69x - 36x= -x + 11x² - 43x' + 69x - 36x= 11x² - 79x + 69
We can factorize the quadratic equation 11x² - 79x + 69 into two binomials by using the quadratic formula.
11x² - 79x + 69 = 0x = [79 ± √(79² - 4(11)(69))] / 22x = (79 ± √129) / 22
Let's factor the given expression as shown below.
(x - (79 + √129)/22) (x - (79 - √129)/22)
Therefore, the factored form of the given equation is:
g(x) = (x - (79 + √129)/22) (x - (79 - √129)/22)
b) The given function represents a quadratic equation, so it is a parabolic function.
Let's calculate the axis of symmetry by using the formula given below.
x = -b / 2a
where a = 11 and
b = -79x = -(-79) / (2 × 11) = 3.59 (rounded to two decimal places)
Therefore, the axis of symmetry is x = 3.59 (rounded to two decimal places).
Let's find the y-coordinate of the vertex by substituting the value of x into the given equation.
g(x) = 11x² - 79x + 69g(3.59) = 11(3.59)² - 79(3.59) + 69 = -36.35 (rounded to two decimal places)
Therefore, the vertex of the parabola is (3.59, -36.35) (rounded to two decimal places).
c) The domain of the function is all real numbers, since we can input any value of x into the function.
Therefore, the domain of the function is (-∞, ∞). d)
Let's find the x-coordinates of the two unique points on the graph where the bacterial culture samples were taken by equating the function to zero.
g(x) = 11x² - 79x + 69 = 0
Using the quadratic formula, we get
x = [79 ± √(79² - 4(11)(69))] / 22x = (79 ± √129) / 22
Therefore, the two unique points where the bacterial culture samples were taken are:
x = (79 + √129) / 22x ≈ 5.67 (rounded to two decimal places)
x = (79 - √129) / 22x ≈ 0.61 (rounded to two decimal places)
Therefore, the two unique points are marked on the graph below.
At the first turning point, x ≈ 0.61At the only root with order two, x ≈ 5.67
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Solve the following system of equations graphically on the set of axes below.y= \frac{1}{4}x+5y=41x+5y= -x-5y=−x−5
Answer:
b
Step-by-step explanation:
Help please and thank you !! ill give brainle and 20 points !
Answer:
G 33%
Step-by-step explanation:
17/52 = 0.32692307692
0.32692307692 is about 33 %
Have a nice day! :)
If f(x)=√4x+9+2, which inequality can be used to find the domain of f(x)?
O √4x20
O 4x+920
O 4x20
O√4x+9+220
G
The domain of the function f(x) is given as x ≥ -9/4
What is the domain of f(x)The domain and range of a relation are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.
The domain of a function is all value of x along the function.
To find the domain of f(x);
Let's write the expression in the square root to be ≥ 0
4x + 9 ≥ 0
Solve for x;
4x ≥ -9
Divide both sides by the coefficient of x;
4x/4 ≥ -9/4
x ≥ -9/4
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Solve: (x – 6)2 = 25
Answer:18.5 or 18 1/2
Step-by-step explanation: