2/0 = 32/48 = 30/0. What number shpuld come in place of the zeros?
Answer:
[tex]\sf \dfrac{2}{3} = \dfrac{32}{48} = \dfrac{30}{45}[/tex]
For the 1st part[tex]\sf \rightarrow \dfrac{2}{x} = \dfrac{32}{48}[/tex]
[tex]\sf \rightarrow 2(48)= {32x}[/tex]
[tex]\sf \rightarrow 32x= 96[/tex]
[tex]\sf \rightarrow x = 3[/tex]
For the 2nd part[tex]\rightarrow \sf \dfrac{32}{48} = \dfrac{30}{y}[/tex]
[tex]\rightarrow \sf {32y} = 30(48)[/tex]
[tex]\rightarrow \sf {32y} = 1440[/tex]
[tex]\rightarrow \sf y = 45[/tex]
A nutritionist has developed a diet that she claims will help people lose weight. Twelve people were randomly selected to try the diet. Their weights were recorded prior to beginning the diet and again after 6 months. Here are the original weights, in pounds, with the weight after 6 months in parentheses. Before 192 212 171 215 180 207 165 168 190 184 200 196 After 183 196 174 211 160 191 162 175 190 179 189 195 Test the claim that the diet is effective at the 0.05 level of significance.
The diet which is developed by the nutritionist is effective at the 0.05 level of significance. Claim is agreed.
When do we use two-sample t-test?The two-sample t-test is used to determine if two population means are equal.
A nutritionist has developed a diet that she claims will help people lose weight. In this,
Twelve people were randomly selected to try the diet. Their weights were recorded prior to beginning the diet and again after 6 months.Here are the original weights, in pounds, with the weight after 6 months in parentheses.
Before 192 212 171 215 180 207 165 168 190 184 200 196 After 183 196 174 211 160 191 162 175 190 179 189 195The mean of the weights before 6 moths is,
[tex]\overline X_1=\dfrac{192+ 212 +171 +215 +180 +207 +165 +168 +190 +184 +200 +196 }{12}\\\overline X_1=190[/tex]
The mean of the weights after 6 months is,
[tex]\overline X_2=\dfrac{ 183 +196 +174 +211 +160 +191 +162 +175 +190 +179 +189 +195 }{12}\\\overline X_1=183.75[/tex]
Standard deviation of both the data is 16.9 and 14.7.
1. Null and Alternative Hypotheses.
The following null and alternative hypotheses need to be tested:
[tex]\begin{array}{ccl} H_0: \mu_1 & = & \mu_2 \\\\ \\\\ H_a: \mu_1 & > & \mu_2 \end{array}[/tex]
This corresponds to a right-tailed test, for which a t-test for two population means, with two independent samples, with unknown population standard deviations will be used.
(2) Rejection RegionBased on the information provided, the significance level is α=0.05 and the degrees of freedom are df = 22. In fact, the degrees of freedom are computed as follows, assuming that the population variances are equal:
[tex]df_{Total} = df_1 + df_2 = 11 + 11 = 22[/tex]
Hence, it is found that the critical value for this right-tailed test is
[tex]t_c=1.717[/tex], for α=0.05 and df=22
The rejection region for this right-tailed test is,
[tex]R = \{t: t > 1.717\}[/tex]
(3) Test Statistics
Since it is assumed that the population variances are equal, the t-statistic is computed as follows:
[tex]t = \displaystyle \frac{\bar X_1 - \bar X_2}{\sqrt{ \frac{(n_1-1)s_1^2 + (n_2-1)s_2^2}{n_1+n_2-2}(\frac{1}{n_1}+\frac{1}{n_2}) } }[/tex]
[tex]\displaystyle \frac{ 190 - 183.75}{\sqrt{ \frac{(12-1)16.9^2 + (12-1)14.7^2}{ 12+12-2}(\frac{1}{ 12}+\frac{1}{ 12}) } } = 0.967[/tex]
(4) Decision about the null hypothesisSince it is observed that t=0.967≤tc=1.717 it is then concluded that the null hypothesis is not rejected.
Using the P-value approach: The p-value is p=0.1721 and since p=0.1721≥0.05p = 0.1721 it is concluded that the null hypothesis is not rejected.
(5) Conclusion
It is concluded that the null hypothesis H₀ is not rejected. Therefore, there is not enough evidence to claim that the population mean μ1 is greater than μ2, at the α=0.05 significance level.
Confidence Interval
The 95% confidence interval is −7.16<μ<19.66
Thus, the diet which is developed by the nutritionist is effective at the 0.05 level of significance. Claim is agreed.
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(Solve by matrix method): 5/x + 3y = 7, 7y -10/x = 12
Step-by-step explanation:
10 x + 6 y = -14 yes
21 x - 6 y = 39 yes
add those two
31 x + 0 = 25
so
x = -25/31 yes
Now go back and use -25/31 in either of the original equations to get y
5 (-25/31) + 3 y = -7
3 y = 125/31 -7
3 y = (125-217)/31
y = - 92/3
Select the correct answer.
A triangle with vertices at A(0, O), B(O, 4), and C6, 0) is dilated to yield a triangle with vertices at A(0, 0), B(0, 10), and C(15, 0). The origin is
the center of dilation. What is the scale factor of the dilation?
O A. 1.5
O B. 2
O C. 2.5
© D. 3
The scale factor of the dilation is 2.5.
What is scale factor?A scale factor is a number that is used to change the size of shapes in geometry. It is the ratio of the length of a new shape to the length of the original shape.
Given that, a triangle with vertices, A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A(0, 0), B(0, 10), and C(15, 0).
We need to find the scale factor,
Taking the coordinates of B,
B(0, 4) → B(0, 10)
Scale factor = 10/4 = 2.5
Hence, the scale factor of the dilation is 2.5.
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Help I don’t understand
What would happen if someone sampled a football team to find the average
weight of a school's student body?
A. The results would give a lower average than they should
B. The results would be representative of the student body
C. The results would give a higher average than they should
O D. The results would be inconclusive
A data lists the number of hours each students from finance class studied for midterm. For this data set, the minimum is 3, the median is 6, the third quartile is 9, the interquartile range is 5, and the maximum is 17. Construct a box-and-whisker plot that show the number of hours studied. Begin by first placing the middle dots on the median. Then work on placing the test of the point starting with the ones closest to the median
Answer:
12
Step-by-step explanation:
this question asked us to find the given data points. Given this data set, what we know that the minimum is the smallest value, which is simply gonna be five. We know the media is gonna be the middle about you. We have to middle values seven and nine. Therefore, we couldn't find the average of the sum plus nine divided by two is eight. Now, we're looking for the first quarter mile. We know that we're gonna be averaging the middle values similarly to what we did for the media. So we have 10 plus 11 divide by two, which is 10.5, and then the maximum is simply the largest value, which is 12.
Mac has taken seven maths exams this year. His average mark is 78%. What mark must he get on the eighth exam to raise his average to 80%?
Answer:
94
Step-by-step explanation:
7*78 + x = 8*80
x = 94
Or, think that he was short 2 points on each of 7 tests, so he has to make them all (14) up on the last test.
what's the estimate of 6.48 + 9.34?
Answer:
16
Step-by-step explanation:
6.48 + 9.34= 15.82 so when u round the number it 16 so the estimate is 16.
please solve 2 quickly
Answer:
The maximum is ¼the minimum is ⅕Step-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧NO LINKS!!!
Use both the intercepts and end point behavior to explain why the following isn't a graph of f(x)= x^5 - x.
Factor x^5 - x to get x(x^4 - 1) = x(x^2-1)(x^2+1) = x(x-1)(x+1)(x^2+1)
We see that x = 0, x = 1 and x = -1 are the real number roots or x intercepts. Ignore the complex or imaginary roots. Unfortunately, the graph shows the x intercepts as -2, 0 and 2 which don't match up.
So there's no way that the given graph matches with f(x) = x^5-x.
-------------------
As more proof, let's consider the end behavior.
As x gets really large toward positive infinity, x^5 will do the same and so will x^5-x. Overall, f(x) will head off to positive infinity. Visually, moving to the right will have the graph move upward forever. This is the complete opposite of what is shown on the graph.
Likewise, the left endpoint should be aimed down instead of up. This is because x^5-x will approach negative infinity as x heads to the left.
In short, the graph shows a "rises to the left, falls to the right" end behavior. It should show a "falls to the left, rises to the right" pattern if we wanted to have a chance at matching it with x^5-x. Keep in mind that matching end behavior isn't enough to get a 100% match; however, having this contradictory end behavior is proof we can rule out a match.
I recommend using Desmos, GeoGebra, or whatever graphing program you prefer to plot out y = x^5-x. You'll get a bettter idea of what's happening.
Answer:
The answer it attached below :)
Sorry it took so long!
A size 8 kid shoe measures 9 inches. If 5 pairs of size 8 kids shoes are lined end to end, then how many inches will they cover?
5-16 Find the general indefinite integral.
15. [tex]\int \frac{1-\sin ^{3} t}{\sin ^{2} t} d t[/tex]
Simplify the integrand
[tex]\dfrac{1-\sin^2(t)}{\sin^2(t)} = \dfrac{\cos^2(t)}{\sin^2(t)} = \cot^2(t)[/tex]
Recall the derivative of csc(t),
[tex]\dfrac d{dt} \csc(t) = -\cot^2(t)[/tex]
It follows that
[tex]\displaystyle \int \frac{1-\sin^2(t)}{\sin^2(t)} \, dt = \int \cot^2(t) \, dt = \boxed{-\csc(t) + C}[/tex]
Determine if x + 3 is a factor of -3x^3+6x^2+6x+9 How do you know
Answer:
x+3 is not a factor
Step-by-step explanation:
A graphing calculator shows the expression has a zero at x=3 and no other real zeros. If x+3 were a factor, there would be a zero at x = -3.
x+3 is not a factor of the expression.
_____
You can check to see if x+3 is a factor by evaluating the expression for x=-3. If (x+3) is a factor, x=-3 will make the function be zero.
3(-x³ +2x² +2x +3) = 3(((-x +2)x +2)x +3) = 3(((-(-3)+2)(-3) +2)(-3) +3)
= 3((-15+2)(-3) +3) = 3(39 +3) = 126 ≠ 0
The expression evaluates to 126 at x=-3, so x+3 is NOT a factor.
Samuel is running a 3-mile race. He would like to finish the race in under 33 minutes. He has already run for 10.5 minutes.
he should have covered 0.95-mile
100 points + brainiest
A pharmacist mixed 10 grams of a 15% medicine solution with 25 grams of a 10% medicine solution.
How many grams is the mixture that the pharmacist has now?
Answer:
35 grams of 11.43% solutionStep-by-step explanation:
The end solution has same volume as initial volumes of mixture.
10 + 25 = 35 gThe concentration of solution is calculated as below
10*0.15 + 25*0.1 = 4 g4 / 35*100% = 11.43% (rounded)Answer:
35 grams
Step-by-step explanation:
25+10=30 grams of the mixture
For a fixed loan amount, what happens to the monthly payment as the annual rate increases? a. as the annual rate increases, the monthly payment increases c. as the annual rate increases, the monthly payment stays the same b. as the annual rate increases, the monthly payment decreases d. no correlation Please select the best answer from the choices provided A B C D
Answer:
C
Step-by-step explanation:
looked up on Quizlet so yeah
Find the area of the figure.
1.
Answer:
14cm²
Step-by-step explanation:
Add up all the squares and the other bits to get the answer.
HELP Find the volume of the prism.
119 in3
2,023 in3
14,161 in3
833 in3
Directions: Solve for x. Round to the nearest tenth.
3.
2
.
48°
17
29
x
х
х
67°
4.
5.
29°
16°
12
X
Х
37
6.
7.
15
х
589
51°
х
22
Answer:
Step-by-step explanation:
4
Can someone write the equation for this graph and explain the steps. Also can you include all the key features of the graph p
Answer:g(x) = f(x) + 1.5g(
Step-by-step explanation:g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5
How do you find the mean absolute deviation MAD
Answer:
Most of the time you can go on a website that can cauculate it.
Step-by-step explanation:
How to cauculate the MAD:
Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth.
What is a formula for the nth term of the given sequence?
-6,0, 6...
Answer:
Step-by-step explanation:
5 Digit Lock - Level One
*
242
The equation of any line in the coordinate plane can be written in the form Ax+By=C where A, B, C are real numbers. Select all of the equations below that define y as a function of x.
−12x−85y=0
−9x+0y=78
0x+56y=−11
3x−4y=−2
The equations which define y as a function of x are; −12x−85y=0 and 3x−4y=−2.
What are real numbers?Any number that one can think of, except complex numbers, is a real number. Real numbers therefore include rational numbers like positive and negative integers, fractions, and irrational numbers.
On this note, the equations as displayed in the answers provided above define y as a function of x.
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I forgot to put this in the question... sorry!
Answer:
6x4=24 as a fraction it could be 24/1 48/2 72/3 etc.
Step-by-step explanation:
Question
Solve 4n^2+8n = -15 by completing the square.
Use a comma to separate multiple values.
Answer:
No Solutions
Step-by-step explanation:
First to complete the square, it will need to look something like
a^2+2ab+b^2
so in order to get that we can see that 4n^2+8n seems to be missing a piece.
a is the square root of 4n^2 which is 2n.
8n/2n=4
4/2=2
b=2
so now add 2 to both sides of the equation so now it's
4n^2+8n+4=-13
rewrite as (2n+2)^2=-13
Now you see a negative number as the result of a exponent.
A number squared will never be negative.
Therefore the answer is
No Solutions
Can anyone please help me answer this math questionn ?? Soon as possible !!
Jayne works for a company that offers to contribute $0.40 for each dollar an employee contributes to his or her 401(k) plan. If Jayne contributes $5,300 over the course of the year, how much will her employer contribute to her retirement plan?
Answer:
i believe the answer is 13,250
Step-by-step explanation:
all i did was divide the 5400/0.40 because i thiink its correct, maybe not
The employer contribute to her retirement plan is $2120.
What is 401(k) plan?Many American firms provide 401(k) plans, which are retirement savings plans with favourable tax treatment for the saver. It bears a section number from the United States Internal Revenue Code (IRC).
When a worker enrols in a 401(k), they consent to have a portion of each paycheck put directly into an investing account. A portion or the entire contribution may be matched by the employer. The employee has a variety of investing alternatives, most often mutual funds.
Given:
Jayne contributes $5,300
Now, the contribution of $0.40 for each dollar
So, employer contribute to her retirement plan
= 5300 x 0.40
= $2120
Hence, The employer contribute to her retirement plan is $2120.
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Please show your work, tysm :D
~giving brainliest!~
Answer:
. 0625
Step-by-step explanation:
1/2^4
or
1/16
just doing half life
Answer ASAP and only if you know its correct
Brainliest to the correct answer!
Hi!
Your answer is the 1st one, 36 inches of ribbon.
The question states this is a square picture frame. That means that all the side lengths are the same.
We are given a side length of 6 inches.
In order to find the area of a square, we multiply the length and the width together.
In this problem, the sides of the picture frame measure 6 inches. Therefore:
[tex]6*6=36[/tex]
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Side of the Square picture frame= 6 inches
To Find:-How much inches of ribbon she requires to cover the square frame.
According to question:-There is a square picture frame. And we know Area of square= (side)²
Solution[tex] \text{Area of Square picture frame = (side)²}[/tex]
[tex] = (6) {}^{2} \\ = 36 \: \: \text{inches of ribbon}[/tex]
[tex] \therefore \text{Option A= 36 inches of ribbon}[/tex]
Hope this helpsWhat is the power set of s={1,2,3,4,5}
The power set P(X) of a finite set X is the set of all possible subsets of X. If X has n elements, then it has a total of 2ⁿ subsets.
For the set S = {1, 2, 3, 4, 5}, we have
• subsets with cardinality 0:
{ } (the empty set)
• subsets with cardinality 1:
{1}, {2}, {3}, {4}, {5}
• subsets with card. 2:
{1, 2}, {1, 3}, {1, 4}, {1, 5}, {2, 3}, {2, 4}, {2, 5}, {3, 4}, {3, 4}, {4, 5}
• subsets with card. 3:
{1, 2, 3}, {1, 2, 4}, {1, 2, 5}, {1, 3, 4}, {1, 3, 5}, {1, 4, 5}, {2, 3, 4}, {2, 3, 5}, {2, 4, 5}, {3, 4, 5}
• subsets with card. 4:
{1, 2, 3, 4}, {1, 2, 3, 5}, {1, 2, 4, 5}, {1, 3, 4, 5}, {2, 3, 4, 5}
• subsets with card. 5:
{1, 2, 3, 4, 5}
Then P(S) is the set containing all of these sets,
{{}, {1}, {2}, {3}, …, {1, 2, 3, 4, 5}}