Answer:
To find the critical t-value for a confidence level of 80% with a sample size of 11, we need to consult a t-distribution table or use a statistical software.
Using a t-distribution table with 10 degrees of freedom (sample size - 1), we can find the critical t-value for a two-tailed test at a confidence level of 80%.
From the table, we find that the critical t-value is approximately 1.363.
Therefore, the critical t-value for a confidence level of 80% with a sample size of 11 is approximately 1.363.
Step-by-step explanation:
jew
Which does not represent a way to show 8+8+8+8+8+8+8 with multiplication?
Answer:
The answer is 50 because 8×7 is equal to 50
Step-by-step explanation:
8+8+8=21
8+8+8=21
21+21=42
42+8=50
A clinical psychologist noticed that the siblings of his obese patients are often not overweight. He hypothesized that the normal-weight siblings consume fewer daily calories than the obese patients. To test this using a matched pairs design, he compared the daily calorie intake of obese patients to that of a “matched” normal-weight sibling. The calories consumed for each sibling pair are given in the table on page 304.
Test whether or not obese patients consume significantly more calories than the normal-weight at a .05 level of significance.
The calculated t-value (4.14) is greater than the critical t-value (2.447), we can reject the null hypothesis and conclude that obese patients consume significantly more calories than their normal-weight siblings at a .05 level of significance.
To test whether obese patients consume significantly more calories than their normal-weight siblings, we can perform a paired t-test at a significance level of .05.
First, we need to calculate the differences in calorie intake between each sibling pair:
Sibling Pair Obese Patient Calorie Intake (cal) Normal-Weight Sibling Calorie Intake (cal) Difference
1 2,450 1,500 950
2 3,500 1,800 1,700
3 3,000 2,100 900
4 2,700 2,000 700
5 2,800 1,900 900
6 3,400 2,000 1,400
7 3,000 2,000 1,000
Next, we need to calculate the mean difference and standard deviation of the differences:
Mean difference = (950 + 1,700 + 900 + 700 + 900 + 1,400 + 1,000) / 7 = 1,014.29
Standard deviation of differences = 382.46
Using these values, we can calculate the t-value:
t = (mean difference - 0) / (standard deviation of differences / [tex]\sqrt{n}[/tex])
where n is the number of sibling pairs (in this case, n = 7).
t = (1,014.29 - 0) / (382.46 / [tex]\sqrt{7}[/tex]) = 4.14
Finally, we can compare the t-value to the critical t-value at a .05 level of significance with 6 degrees of freedom (n-1):
t_critical = 2.447
We may rule out the null hypothesis and reach the conclusion that obese individuals consume considerably more calories than their normal-weight siblings at a.05 level of significance because the estimated t-value (4.14) is higher than the critical t-value (2.447).
To learn more about null hypothesis here:
https://brainly.com/question/28920252
#SPJ1
PLEASE HURRY AND ANSWER
The figure shows a 300 foot tower on the side of a hill that forms a * 7 deg angle with the horizontal. Find the length of each of the two guy wires that are anchored 120 feet uphill and downhill from the tower's base and extend to the top of the tower.
Part A=
Part B=
The length of each of the two guy wires that are anchored are 328.85 ft and 323.45 ft
Finding the length of each of the two guy wiresStart by calculatng the height h from the horizontal to the base of the hill
So, we have
tan(7) = h/120
This gives
h = 14.7
The length of the first guy is
Length² = (14.7 + 120)² + (300)²
Evaluate
Length = 328.85
Next, we calculate the base length b as
b² = (120)² + (14.7)²
b = 120.9
The length of the second guy is
Length² = (120.9)² + (300)²
Length = 323.45
Read more about right triangles at
https://brainly.com/question/2437195
#SPJ1
Select the correct answer from the drop-down menu. The value from the set {10, 11, 12, 13} that makes the equation 2(x − 5) = 12 true is .
The required value of x that makes the equation 2(x - 5) = 12 true when x is chosen from the set {10, 11, 12, 13} is x = 11.
To make the equation 2(x - 5) = 12 true, we need to solve for x. We can start by simplifying the equation using the distributive property:
2(x - 5) = 12
2x - 10 = 12
Next, we can isolate the variable x by adding 10 to both sides:
2x - 10 + 10 = 12 + 10
2x = 22
Finally, we can solve for x by dividing both sides by 2:
2x/2 = 22/2
x = 11
Therefore, the value of x that makes the equation 2(x - 5) = 12 true when x is chosen from the set {10, 11, 12, 13} is x = 11.
Learn more about solutions to equations here:
https://brainly.com/question/545403
#SPJ1
Milan and Nicole are standing on a riverbank, 100 meters apart, at points A and B respectively. (See the figure below.) Nicole is 130 meters from a house located across the river at point C. Suppose that angle A (angle BAC) is 55°. What is the measure of angle B (angle ABC)? Round your answer to the nearest tenth of a degree.
The angle that has been marked as B can be obtained as 86 degrees.
Solving a triangleTo solve a triangle, you need to find the measures of its angles and sides. There are different methods to solve a triangle, depending on the information given.
If you are given the measures of all three angles, you can use the fact that the sum of the angles in a triangle is always 180 degrees to find the missing side lengths.
Using the sine rule;
100/Sin C = 130/Sin 55
Sin C = 100 Sin 55/130
C = Sin-1( 100 Sin 55/130)
C = 39 degrees
Now;
B = 180 - (55 + 39)
B = 86 degrees
Learn more about triangle:https://brainly.com/question/2773823
#SPJ1
Critical values for quick reference during this activity.
Confidence level Critical value
0.90 z∗=1.645
0.95 z∗=1.960
0.99 z∗=2.576
475754.3278094.qx3zqy7
Jump to level 1
In a poll of 1000 randomly selected voters in a local election, 745 voters were against school bond measures. What is the sample proportion p^? What is the margin of error m for the 99% confidence level?
What is the null hypothesis? What is the alternative hypothesis?
On solving the query we can say that the alternative theory is that the proportion of the population does not match the proportion of the sample. Ha: p ≠ p = 0.745
what is function?Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
M is equal to z* * sqrt(p(1-p)/n)
Therefore, the error margin is:
m = 2.576 * sqrt(0.745*(1-0.745)/1000) = 0.034
The 99% confidence interval for the percentage of voters opposed to school bond initiatives is as follows:
0.745 ± 0.034, or (0.711, 0.779)
H0: p = p^ = 0.745
The null hypothesis (Ha) states that the percentage of voters opposed to school bond measures in the sample and the percentage of voters opposed to school bond measures in the population vary. In other words, the alternative theory is that the proportion of the population does not match the proportion of the sample.
Ha: p ≠ p^ = 0.745
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
On solving the query we can say that the alternative theory is that the proportion of the population does not match the proportion of the sample.
[tex]H_O: p = p^{= 0.745}[/tex]
What is function?
Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
M is equal to z* √(p(1-p)/n)
Therefore, the error margin is:
m = 2.576* √(0.745 (1-0.745)/1000) = 0.034
The 99% confidence interval for the percentage of voters opposed to school bond initiatives is as follows:
0.745 ± 0.034, or (0.711, 0.779)
[tex]H_O: p = p^{= 0.745}[/tex]
The null hypothesis (Ha) states that the percentage of voters opposed to school bond measures in the sample and the percentage of voters opposed to school bond measures in the population vary. In other words, the alternative theory is that the proportion of the population does not match the proportion of the sample.
[tex]H_O: p = p^{= 0.745}[/tex]
Learn more about null hypothesis here,
https://brainly.com/question/15980493
#SPJ1
answer this question
Answer:
The smallest angle in this quadrilateral is 36°.
Step-by-step explanation:
[tex]x + 2x + 3x + 4x = 360[/tex]
[tex]10x = 360[/tex]
[tex]x = 36[/tex]
So x, the smallest angle in this quadrilateral, is 36°.
In circle O, OP=3 and m∠POQ=80°. Find the area of shaded sector. Express your answer as a fraction times π.
Answer:
[tex]2\pi[/tex]
Step-by-step explanation:
First, let's find the area of circle O.
The formula is [tex]\pi r^2[/tex].
Plugging in the radius 3, we get the area is [tex]9\pi[/tex].
To get the area of the sector, we have to find out what fraction of 360 degrees the POQ is.
[tex]\frac{80}{360} = \frac{2}{9}[/tex].
We now multiply [tex]\frac{2}{9}[/tex] by 9, getting 2.
The answer is [tex]2\pi[/tex]
What is the slope of the line with equation
Answer:
-7
Step-by-step explanation:
if you change the equation into y=mx +b form you get y=-7x +4 where m is -7 so the slope would be -7
Convert each unit. Enter your answers in the boxes.
32
yards =
feet
1
-
4
foot =
inches
3
miles =
yards
Answer:
32 yards = 96 feet (1 yard = 3 feet, so 32 yards x 3 feet/yard = 96 feet)
1 foot = 12 inches, so 4 feet = 48 inches
3 miles = 5,280 yards (1 mile = 1,760 yards, so 3 miles x 1,760 yards/mile = 5,280 yards)
Therefore, the conversions are:
32 yards = 96 feet4 feet = 48 inches3 miles = 5,280 yardsFind the value of x
Answer: 60%
Step-by-step explanation: I think it was the answer to my work which is the same problem
After 1 year, $500 deposited in a savings account with simple interest had earned $75 in interest. What was the interest rate?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$ 75\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 75 = (500)(\frac{r}{100})(1) \implies 75=5r\implies \cfrac{75}{5}=r\implies \stackrel{ \% }{15}=r[/tex]
GIVING BRNLIEZT Use the net to compute the surface area of the three-dimensional figure.
Responses
A 130 units2
130 units 2
B 182 units2
182 units 2
C 166 units2
166 units 2
D 152 units2
The net to compute the surface area of the three-dimensional figure is 166 square units.
We have,
the surface area of the three-dimension figure:
The surface area is the area calculated for the three-dimensional object. As the three-dimensional object is made up of 2D faces, the surface area is the sum of the areas of all the faces of the figure.
A cuboid is a three-dimensional figure having length, width, and height. The surface area of a cuboid can be calculated by adding together the areas of the six faces.
For the given cuboid, length l = 8 , width w = 5 and height h = 5.
The surface area of the figure is given by;
SA = 2 (lw+lh+wh)
=70 + 56 + 40
= 166
Hence, the net to compute the surface area of the three-dimensional figure is 166 square units.
To know more about the surface area click the link given below.
brainly.com/question/8878439
#SPJ1
Question 22 of 25
Suppose f(x)=x2 and g(x) = (4x)2. Which statement best compares the graph
of g(x) with the graph of f(x)?
A. The graph of g(x) is vertically stretched by a factor of 4.
B. The graph of g(x) is horizontally compressed by a factor of 4.
C. The graph of g(x) is horizontally stretched by a factor of 4.
OD. The graph of g(x) is shifted 4 units to the right.
SUBMIT
For the functions f(x)=x² and g(x) = (4x)² the best statement is the graph of g(x) is vertically stretched by a factor of 4.
The function g(x) = (4x)² can be rewritten as g(x) = 16x²
Comparing this with f(x) = x², we can see that g(x) is equal to f(x) multiplied by 16.
Therefore, the graph of g(x) is the same as the graph of f(x) except that it is vertically stretched by a factor of 16.
The graph of g(x) is vertically stretched by a factor of 4.
Hence, for the functions f(x)=x² and g(x) = (4x)² the best statement is the graph of g(x) is vertically stretched by a factor of 4.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ1
Given -13.84(4.7), find the product.
Answer: -65.048
Step-by-step explanation:
-13.84(4.7) = -65.048
(you could also use a calculator)
What is 6,075 / 450=
Answer: It equals 13.5
Answer:
6,075 / 450 = 13.5
PLEASE MARK ME AS BRAINLIEST !!!
Find the average rate of change of f(x) = 3x² - 5 on the interval [4, t]. Your answer will be an expression
involving t
Answer: [tex]\frac{3t^{2}-48 }{t-4}[/tex]
Step-by-step explanation:
Rate of change is still rise/run or your y's/x's
When x=4, y=3(4)²-5=43
When x=t, y=3t²-5
rate of change = [tex]\frac{3t^{2}-5-43 }{t-4}[/tex] = [tex]\frac{3t^{2}-48 }{t-4}[/tex]
I’m stuck on this 3 questions help
Answer:Umm... what grade am I gonna learn that in?
Step-by-step explanation:
Sorry, I tried but I have no idea what that is...
HELPPPPPPPPPPPP and give me an accurate answer too K12 btw thanks
with geico you get a discount for being a good driver of 10% you have a six month policy for 1,025. if you pay it in full, you get another 10% discount how much would you pay per month if you choose not to pay in full?
round your answer to the nearest and do not put a dollar sign.
The monthly cost would be $138 if choose not to pay in full.
If you get a discount of 10% for being a good driver, then the cost of the policy before the full payment discount is:
1,025 × 0.9 = 922.50
If you pay the policy in full, you get an additional discount of 10%, so the cost of the policy after both discounts is:
922.50 × 0.9 = 830.25
If you choose not to pay in full, then you will not get the additional discount.
The policy cost is spread over 6 months, so the monthly cost would be:
= 830.25 / 6
= 138.38
Rounding this to the nearest dollar,
= 138
Thus, the monthly cost would be $138.
Learn more about the monthly cost here:
https://brainly.com/question/30202818
#SPJ1
I need help with this problem
The value of x and y in the cyclic quadrilateral are 15 and 3 respectively.
How to find the angles of a cyclic quadrilateral?A cyclic quadrilateral is a four sided shape that can be inscribed into a circle. The sum of angles in a cyclic quadrilateral is 360 degrees.
Opposite angles of a cyclic quadrilateral is supplementary.
Hence,
6x - 8 + 31y + 5 = 180
6x + 31y = 183
26y + 5 + 6x + 7 = 180
26y + 6x = 168
6x + 26y = 168
Combine the equation
6x + 31y = 183
6x + 26y = 168
subtract the equation
5y = 15
divide both sides by 5
y = 15 /5
y = 3
6x + 31(3) = 183
6x = 183 - 93
6x = 90
divide both sides by 6
x = 90 / 6
x = 15
Therefore,
x = 15 and y = 3
learn more on cyclic quadrilateral here: https://brainly.com/question/15061291
#SPJ1
A movie critic, rate movies on a scale of four stars to WinStar, a summary of her ratings for 20 movies as shown in the table at the critic rates a total of 100 movies where is the best prediction for the number of movies she gives exactly 3 stars.
A 47B 50 C 35D 27
Answer:
Step-by-step explanation:
you rigt
Question 1 of 25
How does the graph of g(x)= x + 4 compare with the graph of the parent
function, f(x) = x?
A. The graph of g(x) is compressed vertically by a factor of 4.
B. The graph of g(x) is shifted 4 units up.
C. The graph of g(x) is shifted 4 units to the right.
D. The graph of g(x) is compressed horizontally by a factor of 4.
← PREVIOUS
SUBMIT
Answer: The answer is B. the graph of g (x) is shifted 4 units up.
Step-by-step explanation:
:) <3
Answer: B
Step-by-step explanation:
f(x) is a line that goes through (0,0) as a parent function
y=mx +b b is your y-intercept
so
g(x) having a b=4
has been shifted up 4 units B
A summary of the two stocks is shown.
Name of Stock Symbol Closing Price Day 1 Closing Price Day 2 Closing Price Day 3
Metropolis, Ltd MTP 17.95 18.25 18.28
Suburbia, Inc SBR 5.63 4.98 5.25
Suppose you purchase 65 shares of Metropolis stock and 50 shares of Suburbia stock on Day 1 at the closing price. Which day, during the following two days, would be the best to sell both stocks and by how much?
Day 2 is the best by $13.00.
Day 3 is the best by $13.00.
Day 2 is the best by $2.45.
Day 3 is the best by $2.45.
The day, from the following two days, which would be the best to sell both stocks with the closing price is day 3 by an amount of $2.45.
Given are the closing prices of two stocks in three days.
If you purchase 65 shares of Metropolis stock and 50 shares of Suburbia stock on Day 1 at the closing price,
Amount invested = (65 × 17.95) + (50 × 5.63) = $1448.25
If the stock is sold in day 2,
Amount received = (65 × 18.25) + (50 × 4.98) = $1435.25
Profit = $1435.25 - $1448.25 = -$13
If the stock is sold in day 3,
Amount received = (65 × 18.28) + (50 × 5.25) = $1450.7
Profit = $1450.7 - $1448.25 = $2.45
The profit is more for day 3 than day 2.
Hence it is best to sell on day 3 by $2.45.
Learn more about Stocks here :
https://brainly.com/question/14270259
#SPJ1
Choose all that are true. A rhombus is a :
A. Trapezoid
B. Quadrilateral
C. Rectangle
D. Parallelogram
E. Square
I thought square since a square is a rhombus and a quadrilateral since it is one I think.
Answer:
B and D are correct. A rhombus is a quadrilateral and a parallelogram.
combined event. Randomly drawing and immediately eating two red pieces of candy in a row from a bag that contains red pieces of candy out of 52 pieces of candy to
The probability of randomly drawing and immediately eating two red pieces of candy in a row from a bag that contains 6 red pieces of candy out of 37 pieces of candy total is 5/222, or approximately 0.0225 or 2.25%.
Let's calculate the probability of the first draw being red. Since there are 6 red pieces of candy out of a total of 37 pieces of candy, the probability of drawing a red candy on the first try is 6/37.
Now, let's calculate the probability of the second draw being red given that the first draw was red. Since we did not replace the first candy before drawing the second one, there are only 5 red candies left out of a total of 36 candies. Therefore, the probability of drawing a second red candy is 5/36.
To find the probability of the combined event of drawing and immediately eating two red candies in a row, we need to multiply the probability of the first event by the probability of the second event, given that the first event occurred. So the probability of both events occurring is:
(6/37) x (5/36) = 5/222 or approximately 0.0225 or 2.25%.
To know more about probability here
https://brainly.com/question/11234923
#SPJ1
Complete Question:
Determine whether the following individual events are independent or dependent. Then find the probability of the combined event.
Randomly drawing and immediately eating two red pieces of candy in a row from a bag that contains 6 red pieces of candy out of 37 pieces of candy total.
Find the volume of figure two using the volume formula make sure to identify length width height
Answer:
[tex]72\ units^3[/tex]
Step-by-step explanation:
Width = 3 units
Height = 4 units
Length = 6 units
Volume = Length * Width * Height
= 6 * 3 * 4
= 72 units cubed
Solve the following equations using any method. Show your work. Eind the exact solution. Write
the solutions in simplest form.
5. x² + 4x = 3
The equation is solved to a simplified form as x = -4 ±√14
How to solve the expression
From the information given, we have that the quadratic equation is given as;
x² + 4x = 3
collect the like terms
x² + 4x - 3 = 0
Using the quadratic formula, we have
x = -b±√b² - 4ac/2a
From the equation;
ax + bx + c = 0
a = 1
b = 4
c = -3
Substitute the values
x = -4 ± √(4)² - 4(1)(-3)/2(1)
expand the bracket, we get;
x = -4 ± √16 + 12/2
Add the values
x = -4 ± √28/2
Divide the values
x = -4 ±√14
Learn about quadratic equations at: https://brainly.com/question/1214333
#SPJ1
suppose x~n(8,1). what value of x has a z-score of -2.25?
The value of x corresponding to a z-score of -2.25 is 5.75.
What is z-score ?
A z-score is a standardized score that expresses the distance of a data point from the mean in terms of the number of standard deviations. It indicates how many standard deviations a data point is above or below the mean of the distribution.
Given that x follows a normal distribution with mean μ = 8 and standard deviation σ = 1, we can find the z-score corresponding to a given value of x using the formula:
z = (x - μ) / σ
To find the value of x corresponding to a z-score of -2.25, we can rearrange the above formula as follows:
x = μ + z * σ
= 8 + (-2.25) * 1
= 8 - 2.25
= 5.75
Therefore, the value of x corresponding to a z-score of -2.25 is 5.75.
To learn more about standard deviations visit the link :
https://brainly.com/question/23907081
#SPJ1
USE A MODEL Noah wants to take a picture of a beachfront. He wants to make sure two palm trees located at points A and B are just inside the edges of the photograph. He walks out on a walkway that goes over the ocean to get the shot. Point A is 90 feet from the entrance of the walkway, and point B is 40 feet from the entrance. If the walkway is perpendicular to AB, and Noah’s camera has a viewing angle of 90°, at what distance down the walkway should Noah stop to take his photograph? On a separate sheet of paper, draw a diagram to model the situation.
He ought to pause 90 feet ahead in order to snap his shot while on the walkway.
How to solveTrigonometry can be used to determine the ideal spot on the walkway at which Noah must stop for his snapshot.
Since Noah's camera has a 90° viewing angle, both angles AON and BON will equate to 45° each.
Equipped with OA = 90 feet and OB = 40 feet, we can create two equations and use tan(45°) = 1:
1 = 90 / x
1 = 40 / x
Solving for x within each equation results in x = 90 and x = 40, respectively.
To secure that both palm trees are positioned within the border of the photograph, Noah should choose the larger distance: x = 90 feet.
Therefore, he ought to pause 90 feet ahead in order to snap his shot while on the walkway.
Read more about angles here:
https://brainly.com/question/25716982
#SPJ1
Find the volume of the solid
Answer:
27
Step-by-step explanation:
4.5*3*2 = 27
