Answer:
From the given data, there is not enough evidence to prove that there is a statistically significant difference between the two population means
Step-by-step explanation:
The number of younger moms, in the study = 837
The average weight gain of younger moms, [tex]\overline x[/tex]₁ = 30.67 pounds
The standard deviation of the weight gain of younger moms, s₁ = 14.69 pounds
(30.67 - 28.52)/√((14.69^2)/837 + 13²/143))
The number of younger moms, in the study = 143
The average weight gain of mature moms, [tex]\overline x[/tex]₂ = 28.52 pounds
The standard deviation of the weight gain of mature moms, s₂ = 13 pounds
The test statistic for the difference in two populations is given as follows;
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Therefore, we get;
[tex]t=\dfrac{(30.67-28.52)}{\sqrt{\dfrac{14.69^{2} }{837}-\dfrac{13^{2}}{143}}} \approx 1.7919[/tex]
The test statistic ≈ (1.7919)
Using a graphing calculator, we get;
The critical-t = ±1.971379, p = 0.07459697
Therefore, given that the test statistic, (1.7919), < critical-t (0.07459697), we fail to reject the null hypothesis, therefor, the given data does not provide convincing evidence that there is a significant difference between the two population means
Greg spent $47.45 on five books. If each book cost the same amount, how much does one book cost?
Answer:
Greg spent 9.49 cents on the book
The cost of one book is A = $ 9.49
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the cost of 5 books be = $ 47.45
Now , the cost of one book is A
where A = 47.45 / 5
On simplifying the equation , we get
A = $ 9.49
Hence , the cost is A = $ 9.49
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Lucy recently asked the servers at her restaurant to only give straws to customers who request them. She thinks that about half of the customers will ask for straws but hopes that the rate will be less than half. She randomly selects 100 customers and finds that 43 of them ask for a straw. To determine if these data provide convincing evidence that the proportion of customers who will ask for a straw is less than 50%, 150 trials of a simulation are conducted. Lucy is testing the hypotheses: H0: p = 50% and Ha: p < 50%, where p = the true proportion of customers who will ask for a straw. Based on the results of the simulation, the estimated P-value is 0.0733. Using ∝ = 0.05, what conclusion should Lucy reach?
Because the P-value of 0.0733 > Alpha, Lucy should reject Ha. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should reject Ha. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Answer:
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Step-by-step explanation:
To understand this question, you'll have to understand a few terms: the null hypothesis, the alternative hypothesis, the p-value and the signifiance level.
The null hypothesis (H₀) is the assumption that the phenomenon doesn't exist - in this case, it is that the proportion of customers who will ask for a straw is 50%, or due to chance (you can either ask for a straw or not). When doing a statistical test for the existance of a phenomenon, we usually assume the null hypothesis to be true first.
The alternative hypothesis (Hₐ) is the assumption that a phenomenon is true. In this case, it is that that the proportion of customers who will ask for a straw is less than 50%.
The p-value is usually a result you get after performing the statistical test - it's the probability that the observed results are at least as extreme as the results actually observed, assuming that the null hypothesis is true. In this case, assuming that the proportion of customers who will ask for a straw is 50% (the null hypothesis), a p-value of 0.0733 for the observed result of 43 customers means that if the experiment were to be repeated again, then there is a 7.33% chance that 43 customers or less will ask for a straw, assuming the null hypothesis is true. This seems pretty good - assuming the null hypothesis is true, there's only a 7.33% chance that we could have gotten 43 customers or less, which means it may be reasonable to "reject the null hypothesis" (i.e. the alternative hypothesis may be true).
However, in many cases a 7.33% chance may not be low enough, e.g. in this problem, a less than 5% chance (i.e. p < 0.05) is necessary. This required chance for results to be statistically significantly is called the signifiance level, or alpha value, the "the probability of rejecting the null hypothesis when the null hypothesis is in fact true." In scientific journals or depending on the field of study, there may be a generally accepted signifiance level.
roshaun has saved 150$ and continues to add 10$ each week. Keegan starts with 0$ and saves 25$ each week. In how many weeks will they have the same amount of money?
Answer:
10 weeks
Step-by-step explanation:
Create a system of equations demonstrating Roshaun and Keegan's savings.
Roshaun: 150 + 10x Keegan: 0 + 25xLet x equal the number of weeks they save their money.
In order to calculate how many weeks they will have the same amount of money saved, we need to set their equations equal to each other and solve for x.
150 + 10x = 25xSubtract 10x from both sides of the equation.
150 = 15xDivide both sides of the equation by 15.
x = 10In 10 weeks, Roshaun and Keegan will have the same amount of money.
In a woodworking class, you need to make five triangles out of plywood. Each triangle has a height of 6 inches and a base of 14 inches. Which equation can you use to solve for the total amount of plywood you will need?
Answer:5 * (1/2 * 6 * 14)= x
Step-by-step explanation: :D
Find the area of each figure. Round to the nearest tenth if necessary
Answer:
59.3
Step-by-step explanation:
First find the area of the the right triangles
5 * 4 / 2 = 10
Multiply it by 2 since there are 2 right triangles that are the same
10 * 2= 20
Then find the area of a semi circle
The radius is 5
π5^2 / 2= 39.27
39.27 rounded to the nearest tenth is 39.3
Add them together
20 + 39.3 = 59.3
59.3 is your answer
Find the value of x.
Answer:
x=6,24
Step-by-step explanation:
Use the Theorem of Pythagoras.
H^2= S^2+ S^2
8^2= 5^2 + S^2
64-25 = S^2
39 = S^2
6,24= S
S is x therefore x = 6,24
Four times the sum n plus 10 is 34 what is the value of n?
Answer:
4(10+n)=34
40+4n=34
4n=-6
n=-6/4=-3/2
Step-by-step explanation:
Answer: 4n+40=34
Step-by-step explanation:
I got it right
Solve for x. Round your answer to the nearest tenth
Answer:
x = 19.19°
Step-by-step explanation:
cos x = 17/18
cos x = 0.9444
x = 19.19°
Multiply. 8.3 x 6.4 Enter your answer in the box.
Answer:
53.12
Step to Step reasoning:
8.3 x 6.4 = 53.12
My dad was painting our living room. He started with 5/9 of a can of paint.
He used 1/3 of the can. How much paint did he have left?
Answer:
0.2 rounded up or 1/5 (also rounded up)
A system of equations is shown.
2x + 6 = y
4x - 2y = 6
Which statement is true about the solution to the system?
O A. There are infinitely many solutions because these lines are parallel to each other,
OB. There are infinitely many solutions because these lines are the same line.
O C. There are no solutions because these lines are parallel to each other.
D. There are no solutions because these lines are the same line.
Answer:
option c
Step-by-step explanation:
there are no solutions because they are parallel as they have same slope
Describe the transformations of f(x) when compared to the parent function [y = x2].
f(x) = x2+5
The transformations of f(x) when compared to the parent function is the graph of [tex]f(x)=x^2+5[/tex] is moved 5 units up
Transformation of functions
Transformation of function is transforming a function from one form to another form .
Rules of transformation :f(x)-> f(x)+a , f(x) will be moved 'a' units up
f(x)-> f(x)-a , f(x) will be moved 'a' units down
f(x)-> f(x-a) , f(x) will be moved 'a' units right
f(x)-> f(x+a) , f(x) will be moved 'a' units left
f(x)-> -f(x), f(x) will be reflected across x-axis
f(x)-> f(-x), f(x) will be reflected across y-axis
For quadratic, the parent function is [tex]f(x)=x^2[/tex]
Given that [tex]f(x)=x^2+5[/tex]
Here , 5 is added with f(x) at the end
f(x)-> f(x)+a , f(x) will be moved 'a' units up
[tex]f(x)=x^2 ------ > f(x) =x^2+5[/tex]
The graph of f(x) will be move 5 units up
the transformations of f(x) when compared to the parent function is the graph is moved 5 units up
Learn more about transformation here:
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-3(4x + 3) +4(6x + 1)= 43
Step by step solution
Need help ASAP PLEASE!!
Answer:
x=4
Step-by-step explanation:
-3(4x+3)
you need to break open the paranthesis
-3 times 4x equals to -12x. -3 times 3 equals to -9. That means that this expression is equal to -12x-9.
4(6x+1)
you need to break open the paranthesis
4 times 6x equals to 24x. 4 times 1 equals to 4. That means that this expression is equal to 24x+4.
-12x-9+24x+4=43
move all variables to the left side and numbers to the right side
-12x+24x=43-4+9
12x=48
x=4
the answer options are
6.75
-1.5y
-3x
thank you :))
Answer:
-1.5y
Step-by-step explanation:
+y(–1.5) = -1.5y
This is how distribution works
Answer:
-1.5y
Step-by-step explanation:
have a nice weekend ヽ(ヅ)ノ
Pls help, this is due tomorrow
Answer:
You have a higher chance of getting an even number than a multiple of three. There are 3 even numbers and only 2 multiples of three.
ASAP PLEASE HELP I will give brainliest
If a grocery store charges $3.00 for 2 pounds of
tomatoes, what is the price for 7 pounds of tomatoes?
SHOW your WORK.
$7.50
$8.00
$9.50
$10.50
Answer:
If a grocery store charges $3 for 2 pounds of tomatoes then it costs $1.50 per pound of tomato, so we multiply this by 7 to get $10.50
Hope this helped!
Answer: $10.50
$3.00/2=$1.5
$1.50*7= $10.50
Plzz help meee! I am timed
Answer:
The Answer Is 8 five dollar bills
Step-by-step explanation:
First you Multiply 5 by 8 Then divide the answer by 5
PLEASE HELP (COMPLETE QUESTION B) 5TH GRADE MATH. GIVING AWAY BRAINLIEST
Answer:
Now that you have a completed table, you will have the coordinates (0, -3), (1, -1), and (2, 1). Mark these points on the coordinate grid and draw a straight line through the origin, (0, 0). Use part a as your advantage to answer part b.
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answer:
yz + z = -22
Step-by-step explanation:
Ok so you are already the number that y = 10 and z = -2. You will plug these number in the equation in order to find the answer. :-
y = 10 and z = -2
yz + z
10(-2) - 2
-20 - 2
-22
Hope this helps, thank you :) !!
2/8 of 24=
2/8 times 24=
Answer:
2/8 of 24 is 6
2/8 times 24 is 6 also
Here is a picture of a cube and the net of this cube what is the surface area of this cube enter your answer in the box
Answer:
Step-by-step explanation:
a = 12 mm
Surface area of cube = 6a²
= 6 * 12 * 12
= 864 cubic mm
Please can anyone help me I don't understood it!!!
Answer:
A. $448
B. $679
C. $421
D. $877
Step 1: multiply each original amount by .08 (because that's the percent amount)
For example: 415 x 0.08 = 33.2
Step 2: Add that product to the original amount.
For example: 415 + 33.2 = 448.2
Step 3: Don't forget to round to nearest dollar.
For example: 448.2 --> 448
Trust Milky. Milky smart.
What is -456 divided by -18
Answer:
25.3333333
Step-by-step explanation:
Answer: 25.33
Step-by-step explanation:
First yo divide -456 / -18
Last is the result (what you get): 25.33
The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year. P=$11,500.00 R=10% T=60 days
Answer:
Step-by-step explanation:
Simple interest is
I=Prt
I=11500(0.10)(60/360)
I=$191.67
Circle O has a circumference of approximately 44 in.
What is the approximate length of the diameter, d?
0 7 in
0 14 in.
d-11-
0 22 in
044 in
Answer:
44
Step-by-step explanation:
because yea
Graph the line with the slope 1 passing through the point (-2,-1)
Answer:
Step-by-step explanation:
Express each rate below as a unit rate.
975 calories in 13 brownies
Answer:
Step-by-step explanation:
975/13=75
75 calories per brownie
Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below certain established subsidy standards. A recent report notes that 60% of island residents of a country have reduced their electricity usage sufficiently to qualify for discounted rates. If five residential subscribers are randomly selected from a city on this island find the probability of each of the following events. (Round your answers to three decimal places.)
a. At least four qualify for the favorable rates.
b. All five quality for the favorable rates.
Answer: Many utility companies promote energy conservation by offering discount rates to ... who keep their energy usage below certain established subsidy standards. A recent EPA report notes that 70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.
Step-by-step explanation:
0+4=?
Help will be needed here
Answer:
40
you add a 0 to the four and boom
If you are really asking, then the answer is still 4
Answer:
4 is the correct answer
hope it is helpful to you