(b) and (c) are correct
value of sin 55 = cos 55
sin 72 = cos 18
the accompanying minitab output results from fitting the model described in exercise 14.14 to data. what is the estimated regression equation? b. using a significance level, perform the model utility test. (hint: see example 14.9.) c. interpret the values of and given in the output.
a) The R-squared value is 0.67, which means that the independent variable explains 67% of the variation in the dependent variable.
b) The remaining 33% of the variation is due to other factors that are not included in the model.
The estimated regression equation is the equation that describes the relationship between the dependent variable and the independent variables. In this case, the output shows that the estimated regression equation is:
y = 44.05 + 1.48x
where y is the dependent variable and x is the independent variable.
The output shows that the F-statistic is 30.42, with a corresponding p-value of 0.000. This p-value is less than the significance level of 0.05, which means that we can reject the null hypothesis that the independent variable is not significant in explaining the variation in the dependent variable. Therefore, we can conclude that the regression model is useful.
Finally, the values of and in the output represent the standard error of the estimate and the R-squared value, respectively. The standard error of the estimate is a measure of the variability of the dependent variable around the regression line. In this case, the standard error of the estimate is 3.11, which means that the predicted values of the dependent variable can be off by an average of 3.11 units.
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MARK YOU THE BRAINLIEST ! What is the scale factor that was used to enlarge the triangle on the left into the triangle on the right?
Answer:
The answer is D: 1.25
Wyatt notices that a local pizza parlor is running a special on their 16" thin crust pizzas with no crust around the outer edge. If Wyatt ordered 3 pizzas, what would the total area of the three pizzas be?
It would be 603.2 square inches.
Kat is a senior at King High School, and she wants to throw a graduation party for herself and her friends. She will pay $225 for the venue and $80 per an hour for the DJ. She has saved $410 and will earn another $560 by the time of the party.
A) Write a compound inequality to represent the possible number of hours Kat can afford to book the DJ for the party. Use X to represent hours
B) Using your compound inequality in Part A, what is one possible length of time that Kat could afford to book the DJ?
Regarding resolving the given issue, we have Total equation cost = 225 + 80*4 = 545 This is less than the $970 she will have in total ($410 + $560).
What is equation?A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.
A) Let's start by figuring out the DJ's total cost. Kat will pay $80 per hour, so if she hires him for X hours, she will spend 80*X dollars. When the venue fee is added, the party's whole cost is:
Cost overall = 225 + 80*X
With the money she has saved and the money she will make, Kat can afford to pay the party's entire cost, which is the sum of the DJ and venue costs. In order to express the potential number of hours Kat will be able to afford to pay the DJ for the party, we may construct the following compound inequality:
225 + 80*X ≤ 410 + 560
80*X ≤ 795
X ≤ 9.9375
The compound inequality is as a result:
0 ≤ X ≤ 9.9375
B) Based on Part A, we know that Kat has the money to hire the DJ for 0 to 9.9375 hours. Kat could be able to pay the DJ for four hours, considering that:
Total cost = 225 + 80*4 = 545
This is less than the $970 she will have in total ($410 + $560).
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Which expression is equal to 4^5 x 4^-7 divided by 4^-2
A: 4^5 divided by 4^-9
B: 4^0
C: 4^-4
D: (4^5)(4^-2)/4^-7
When comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment, a one-way ANOVA is appropriate.a. It is also appropriate in this situation, however, to compare two means at a time using multiple independent two sample t-tests. True or False?b. True. It is appropriate to compare two means at a time with independent two sample t-tests but it might be time-consuming.c. False. It is not appropriate to compare two means at a time in the way described. This would inflate the overall Type I Error and is a 'Multiple Testing' problem. The one-way ANOVA controls for the Type I Error and should be used instead.
c. False. It is not appropriate to compare two means at a same time with the way described above. This would remove the overall Type I Error is a 'Multiple Testing' problem.
Why it is not appropriate to compare two means at a time in the way described?The one-way ANOVA controls for the Type I Error and should be used instead. When comparing multiple means, conducting multiple independent two-sample t-tests is not recommended because the probability of committing a Type I error increases with each additional test, leading to an inflated overall Type I error rate.
ANOVA is a better method for comparing means when there are more than two groups as it compares all means simultaneously and controls for Type I error.
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Sally had 2 cats and each cat eats 1/4 of a tin of cat food every day sally buys 7 tins of cat food for how many days will the cat food feed her 2 cats you must show working
Answer:
9 tins of cat food feed her 2 cats for 18 days
Step-by-step explanation:
Sally has 2 cats
food eaten by 1 cat each day =
food eaten by 2 cat each day= tins
sally buys 9 tins of cat food
then
tins required in = 1 day
1 tin required in
i.e 1 tin required in 2 days
9 tin required for = 9×2 = 18 days
hence , 9 tins of cat food feed her 2 cats for 18 days
Ariana has purchased a new car. She borrowed $31,500 for 6 years at an interest rate of 2.9% to pay for the car. Find the maturity value at the end of 6 years.
a. $37,098
b. $36,981
c. $37,458
d. $35,872
The maturity value at the end of 6 years is $37,098 (option a).
To calculate the maturity value of Ariana's loan, we can use the formula for compound interest. The formula for compound interest is:
A = P(1 + r/n)ⁿˣ
Where:
A = the maturity value
P = the principal amount borrowed
r = the annual interest rate (as a decimal)
n = the number of times interest is compounded per year
x = the length of time the loan is taken out for
In this case, Ariana borrowed $31,500 for 6 years at an interest rate of 2.9%. We know that interest is compounded annually, so n = 1. Substituting these values into the formula, we get:
A = 31,500(1 + 0.029/1)¹ˣ⁶
A = 31,500(1.029)⁶
A = 31,500(1.1945)
A = 37,098
Therefore the answer $37,098, which is answer choice (a).
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the answers are
A:$3,096
B: $2,106
C:$1,638
D:$1,530
Answer:
C. $1638
Step-by-step explanation:
You want the cost of wax to cover the given composite shaped floor.
AreaThe area of the floor can be decomposed into a trapezoid and a rectangle by extending the left vertical line upward.
The trapezoid on the left will have bases of 28 ft and (24-16) = 8 ft, and a height of 12 ft.
The rectangle on the right will have a width of 16 ft and a height of 32 ft.
The total area is the sum of these areas:
(1/2bh + LW) = 1/2(28 +8)(12) +(16)(32) = 728 . . . . square feet
CostThe cost is found by multiplying the number of square feet by the cost per square foot:
(728 ft²)($2.25/ft²) = $1638
The cost of wax for the floor is $1,638.
A.–5
B.–3
C. negative one-third
D.3
The slope of the linear equation is 3, thus, the correct option is D.
How to find the linear equation for the table?Remember that a general linear equation is written as:
y = ax + b
Where a is the slope and b is the y-intercept.
Here we can see the point (0, -1), then replacing the value we will see that the y-intercept is -1.
y = ax - 1
Now we can see that the line also passes through the point (1, 2) (or you could use any other in the table). Replacing these values we will get:
2 = a*1 - 1
2 = a - 1
Solving for a we will get:
2 + 1 = a
3 = a
Then the linear equation is:
y = 3x - 1
The slope is 3, the correct option is D.
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Question:
"which is the slope of the linear equation in the table?"
Katherine wants to save $120 for a brand new pair of shoes. Write
and solve an inequality to show the least amount she must save each
month for 6 months to do so.
Answer: 6x≥120
x≥20
Step-by-step explanation:
To make an inequality, we have to look at the whole problem. Katherine wants to save $120, so 120 will be on one side of our equation.
We also know that she will be saving for six months.
So, our equation so far is 6x=120, with x being the amount she has to save each month.
But the problem says "the least amount." That means that we will be using the "greater than or equal to" symbol ⇒ "≥"
6x ≥ 120 will be our equation.
To solve this, we would need to isolate x. To do that, we'll divide both sides by 6 to get x≥20.
Hope this helps and all the best on your homework!
A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.
Outcome Frequency
Heart 7
Spade 3
Club 6
Diamond 4
Determine the experimental probability of drawing a heart.
0.13
0.25
0.35
0.70
Question 6(Multiple Choice Worth 2 points)
(Sample Spaces LC)
Which event will have a sample space of S = {A, B}?
Flipping a fair, two-sided coin
Rolling a six-sided die
Spinning a spinner with three sections
Choosing a tile from a pair of tiles, one with the letter A and one with the letter B
Question 7(Multiple Choice Worth 2 points)
(Experimental Probability MC)
Sandy used a virtual coin toss app to show the results of flipping a coin 50 times, 400 times, and 2,000 times. Explain what most likely happened in Sandy's experiment.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 2,000 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 400 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 50 flips.
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
Question 8(Multiple Choice Worth 2 points)
(Sample Spaces MC)
Julia had a bag filled with gumballs. There were 1 lemon-lime, 2 watermelon, and 3 grape gumballs. What is the correct sample space for the gumballs in her bag?
Sample space = 1, 2, 3
Sample space = 1, 2, 3, 4, 5, 6
Sample space = lemon-lime, watermelon, grape
Sample space = lemon-lime, watermelon, watermelon, grape, grape, grape
Question 9(Multiple Choice Worth 2 points)
(Theoretical Probability LC)
When given a set of cards laying face down that spell P, E, R, C, E, N, T, S, determine the probability of randomly drawing a vowel.
two eighths
six eighths
two sevenths
six sevenths
Question 10(Multiple Choice Worth 2 points)
(Experimental Probability MC)
There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials..
Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11
Compare the theoretical probability and experimental probability of pulling a brown marble from the bag.
The theoretical probability, P(brown), is 50%, and the experimental probability is 25%.
The theoretical probability, P(brown), is 50%, and the experimental probability is 22.5%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 13.0%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
Question 11(Multiple Choice Worth 2 points)
(Theoretical Probability MC)
Joseph has a bag filled with 2 red, 4 green, 15 yellow, and 9 purple marbles. Determine P(not purple) when choosing one marble from the bag.
70%
50%
30%
20%
Question 12(Multiple Choice Worth 2 points)
(Likelihood MC)
Three softball players discussed their batting averages after a game.
Probability
Player 1 seven elevenths
Player 2 six ninths
Player 3 five sevenths
Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)
Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
Question 13(Multiple Choice Worth 2 points)
(Likelihood MC)
The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 0.25, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.
Equally likely and unlikely
Likely
Unlikely
This value is not possible to represent probability of a chance event.
Question 14(Multiple Choice Worth 2 points)
(Experimental Probability LC)
A number cube is tossed 60 times.
Outcome Frequency
1 12
2 13
3 11
4 6
5 10
6 8
Determine the experimental probability of landing on a number greater than 5.
8 over 60
16 over 60
18 over 60
52 over 60
Question 15(Multiple Choice Worth 2 points)
(Likelihood MC)
The dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption. If P(terriers) = 50%, interpret the likelihood of randomly selecting a terrier from the shelter.
Lik
The experiment's probability with hearts was perceived to be 0.35.
An event wherein the sample space, S = {A, B}, occurs when selecting one tile from a duo of tiles, one labelled with the letter A and the other, letter B.
How to explain the probabilityUtilizing the law of large numbers, Sandy is more likely to come close to the theoretical likelihood during her testing featuring 2,000 flips.
For Julia's bag of gumballs, the most appropriate sample area consists of lemon-lime, watermelon, as well as grape.
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PLEASE HELP MY TEACHER IS ASKING WHAT IS TAKING ME SO LONG! The image is down below.
The rectangles that have an area of 72 m² are: The first and third rectangles
What is the area of the rectangle?The formula for the area of a rectangle is:
A = l * w
where:
l is length
w is width
For the first rectangle dimensions, the area is:
Area = 9 * 8
Area = 72 m²
For the second rectangle, the area is:
Area = 10 * 7
= 70 m²
For the third rectangle, the area is:
Area = 12 * 6
Area = 72 m²
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Franco is a very busy professional DJ. Last year, he worked 8 weddings and 26 other events. What is the probability that one of the events Franco worked last year, selected at random, was a wedding?
The probability that one of the events Franco worked last year, selected at random, was a wedding is equals to the [tex] \frac{4}{17} [/tex].
Franco is a professional DJ and he was very busy in work during Last year. Number of events where he worked = 26
Number of wedding where he worked
= 8
So, total events where he played his DJ
= 26 + 8 = 34
We have to determine probability that one of the events Franco worked last year, selected at random, was a wedding.
Now, one of event is Randomly selected from all of above events. Number of favourable outcomes for worked on wedding events = 8
So, probability of selected a wedding event [tex] = \frac{8}{34} [/tex]
[tex] = \frac{4}{17} [/tex]. Hence the required probability value is [tex] \frac{4}{17} [/tex].
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Missing number in sequence need help. ALOT OF POINTS
The diameter of a circular cookie cake is 14 inches. How many square inches make up half of the cookie cake? Approximate using π = 3.14.
615.44 square inches
307.72 square inches
153.86 square inches
76.93 square inches
Answer:
Possibly A
Step-by-step explanation:
Answer:
76.93
Step-by-step explanation:
Which of these statements correctly interprets what it means to be "95% confident"? Choose the correct answer below. A. 95% of samples will produce a confidence interval that captures the true proportion. B. 95% of the time, the sample proportion will be in the interval. C. 95% of the sample is in the confidence interval.
The correct answer is A. 95% of samples will produce a confidence interval that captures the true proportion.
The question stated that - statements correctly interprets what it means to be "95% confident".
The statement- A. 95% of samples will produce a confidence interval that captures the true proportion.
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Please help me with this homework
Answer: 35 cm^2
Step-by-step explanation:
The area of a triangle is found by base * height divided by 2.
Base = 10
Height = 7
So, plug those values into the equation and you get:
10*7/2 = 35
Essentially, the formula for the area of a triangle is just dividing the formula for the area of a rectangle by 2, because two triangles make up one rectangle.
Answer:
Area = 35 cm².Step-by-step explanation:
We are given with a triangle whose Height is 7 cm and base is 10 cm.
We have to calculate the Area of triangle.
As we know that area of triangle is calculated by,
Area = ½ × base × height
Putting the required values we get,
Area = 1/2 × 7 × 10
Area = 7 × 5
Area = 35 cm².
Hence, The area of the triangle is 35 cm².
Signs of stressz and other
The table gives an inequality and a number to multiply both sides of the inequality by. ldentify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a negative number the inequality symbolm.
The new inequalities are:
A) -16 < -4
B) 40 > 8
C) -45 < 15
D) 35 > -20
What is inequality?
Inequality in math is a comparison between two values, expressing that one value is greater than, less than, or not equal to the other value. It is represented by symbols such as > (greater than), < (less than), and ≠ (not equal to). For example, 5 > 3 is an inequality, which means that 5 is greater than 3.
A) When you multiply both sides of the inequality 8 > 2 by -2, you need to reverse the direction of the inequality to get the new, true inequality: -16 < -4.
B) When you multiply both sides of the inequality -10 < -2 by -4, you need to reverse the direction of the inequality to get the new, true inequality: 40 > 8.
C) When you multiply both sides of the inequality 15 > -5 by -3, you need to reverse the direction of the inequality to get the new, true inequality: -45 < 15.
D) When you multiply both sides of the inequality -7 < 4 by -5, you need to reverse the direction of the inequality to get the new, true inequality: 35 > -20.
Therefore, the new inequalities are:
A) -16 < -4
B) 40 > 8
C) -45 < 15
D) 35 > -20
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Complete question : given in the picture.
Answer:A) -16 < -4B) 40 > 8C) -45 < 15D) 35 > -20
Reverses
Step-by-step explanation:hope this helps!
have a great Thursday! :)
pls pls help due in an hour if you get it right you'll get marked brainliest
Answer:
the first option
Step-by-step explanation:
the table does not have a constant rate of change so it is not linear.
carla leaves home and walks 40° easy to the north for 1.5 miles, then turns and continues due west for 2 miles. at this point in her trip, how far is she from home to the nearest tenth of a mile? Need answer right away
Answer:
need help
Step-by-step explanation:
Carla is 1.3 miles away from the home.
Given that, Carla leaves home and walks 40° easy to the north for 1.5 miles, then turns and continues due west for 2 miles.
The formula for the cosine rule is c=√(a²+b²-2ab cosC)
Here, c=√(1.5²+2²-2×1.5×2 cos40°)
c=√(2.25+4-6×0.7660)
c=√1.654
c=1.28
c=1.3 miles
Therefore, Carla is 1.3 miles away from the home.
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Triangle HJK is similar to triangle LMN. A C D 6 4.5 cm 7.5 11.25 T4.5 Which proportion can be used to calculate the length of LM in centimeters? LM LM 7.5 9 9 H J 11.25 4.5 6 LM LM 4.5 7.5 cm 7.5 6 cm M 11.25 cm 9 cm N
The proportional segment lengths that calculate the lengths is 7.5/6 = 11.25/9
What proportion can be used to calculate the lengths?From the question, we have the following parameters that can be used in our computation:
The triangles
The triangles are similar triangles
So, we have
HK/KJ = LM/MN
Substitute the known values in the above equation, so, we have the following representation
7.5/6 = 11.25/9
Hence, the proportion is 7.5/6 = 11.25/9
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Also at the top it says:
Twenty students took a Science test and a Maths test.
Both tests were marked out of 50.
The table gives information about
their results.
Help!
Higher medians tend to represent higher scores.
Consistency is measured by the interquartile range, which is the difference between the measures representing the third quartile and the first quartile.
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What is the measure of ZP, to the nearest degree?
O 44°
O 46°
O 58°
O 72°
The measure of the angle ∠P is given by the law of sines and ∠P = 46°
Given data ,
Let the triangle be represented as ΔMNP
Now , the measure of side MP = 46
The measure of side MN = 34
And , the measure of ∠MNP = 78°
Now , from the law of sines , we get
So , a / sin A = b / sin B = c / sin C
On simplifying , we get
34 / sin P = 46 / sin 78°
Multiply by sin P on both sides , we get
sin P ( 46 / 0.97814760073 ) = 34
sin P = 0.72297866
Taking inverse on both sides , we get
sin⁻¹ ( 0.72297866 ) = 46.30°
Hence , the measure of angle is P = 46°
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Solve then determine if true or false to questions below
Answer: False, True, False
Step-by-step explanation:
1. to find the y-intercept x=0 so
for f(x)=-5 but
g(x) the intercept is between -4 and 14,
which is bigger than -5 So the first one is false
2. this is when y=0 what is x.
For f(x), when y=0 x=5/2
For g(x) it looks like when y is 0, x is going to be closer to -1 and will be a negative fraction
So f(x) is greater for x-int. and answer is true
3. The slope for f(x) is 2
The slope for g(x)=(32-14)/(3-1) = 9
g(x) slope is bigger
So this is false
Given that a quadratic function has a vertex at (-3,-9) and goes through the point (0,9)
At the end of a baseball game the players regular choice to have a bottle of water or a box of juice all the players 12 chose a bottle of water which is 3/4 of the total of players right and solve an equation to determine P the total of the total number of players at the baseball game
An equation to determine p is 12 = 3p/4
The total number of players at the baseball game is 16.
We have the information:
In all the players, 12 choose a bottle of water, which was 3/4 of the total number of players.
We have to find the:
Write and solve an equation to determine p, the total number of players at the baseball game.
Total number of players = p
Out of 12 total player 12 choose a bottle of water which is of the total number of players and hence the equation will be:
12 = 3/4 of p
12 = 3p/4
By cross multiplication:
48 = 3p
Solve the value of p :
p = 48/3
p = 16
Therefore, the total number of players at the baseball game is 16.
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what percentage of cases in a normal distribution are between 0.5 standard deviations above and below the mean.
Approximately 68% of the cases in a normal distribution are between 0.5 standard deviations above and below the mean.
To find the percentage of cases that are between 0.5 standard deviations above and below the mean, we can add these two probabilities:
34% + 34% = 68%
The normal distribution, also known as the Gaussian distribution or the bell curve, is a probability distribution that is widely used in statistics, science, and engineering. A bell-shaped curve that is symmetrical around the mean value best describes the distribution. The distribution's mean, median, and mode are all equal, and the standard deviation defines the curve's width.
Height, weight, IQ, and measurement mistakes are only a few examples of the numerous random variables and natural phenomena that follow the normal distribution. In addition, the central limit theorem predicts that regardless of the underlying distribution of the variables themselves, the total or average of several independent random variables with similar distributions will converge to a normal distribution. Because of this characteristic, the normal distribution is a key idea in inferential statistics and hypothesis testing.
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Complete Question:-
What percentage of cases in a normal distribution are between 0.5 standard deviations above and below the mean? Give one percentage.
Find the surface area of the prism.
2 ft
1 ft
2.2 ft
3 ft
The surface area is
square feet.
The surface area of the triangular prism is 17.6 ft.
How to find the surface area of the prism?The prism is a triangular prism. The surface area of the prism can be found as follows:
surface area of the prism = (a + b + c)l + bh
where
a, b and c are the side length of the trianglel = height of the prismh = height of the triangular baseb = base of the triangular prismTherefore,
surface area of the prism = (2 + 1 + 2.2)3 + 1 × 2
surface area of the prism = 15.6 + 2
surface area of the prism = 17.6 ft
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