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Umnica [9.8K]
3 years ago
11

A rectangle has a length of 72 cm and a width of 56 cm. The other rectangle has the same area as this one, but its width is 21cm

. Find the constant of the variation.
Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0

Answer: I think it’s 4032

Step-by-step explanation:

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The mean number of English courses taken in a two–year time period by male and female college students is believed to be about t
prisoha [69]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. it is a two-tailed test. Let m be the subscript for the number of English courses taken by male students and f be the subscript for the number of English courses taken by female students.

Therefore, the population means would be μm and μf.

The random variable is xm - xf = difference in the sample mean number of English courses taken by male and female students.

We would set up the hypothesis.

The null hypothesis is

H0 : μm = μf H0 : μm - μf = 0

The alternative hypothesis is

H1 : μm ≠ μf H1 : μm - μf ≠ 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(xm - xf)/√(sm²/nm + sf²/nf)

From the information given,

xm = 3

xf = 4

sm = 0.8

sf = 1

nm = 29

nf = 16

t = (3 - 4)/√(0.8²/29 + 1²/16)

t = - 11.82

The formula for determining the degree of freedom is

df = [sm²/nm + sf²/nf]²/(1/nm - 1)(sm²/nm)² + (1/nf - 1)(sf²/nf)²

df = [0.8²/29 + 1²/16]²/[(1/29 - 1)(0.8²/29)² + (1/16 - 1)(1²/16)²] = 0.00715/0.00027781093

df = 25.7

Approximately, df = 26

We would determine the probability value from the t test calculator. It becomes

p value = 0.00001

Assuming a level of significance of 0.05, we would reject the null hypothesis because the p value, 0.00001 is < 0.05

Therefore, we can conclude that the means are not statistically the same.

3 0
3 years ago
Lisa and Lori each dried 1/3 of the glasses. What fraction of the glasses
Yuki888 [10]
3/3-1/3= 2/3 of the glasses
6 0
3 years ago
Help please!!<br> 1. What is the value of n?<br> 2.What is the value of n?
lana66690 [7]

Using the intersecting chord theorem:

15 x 2 = 5 x n

Simplify:

30 = 5n

Divide both sides by 5:

n = 30/5

n = 6 m



8 x n+8 = 16 x n+2

Simplify:

8n +64 = 16n +32

Subtract 8n from both sides:

64 = 8n +32

Subtract 32 from both sides:

32 = 8n

Divide both sides by 8:

n = 32 /8

n = 4

4 0
3 years ago
Read 2 more answers
26=4v+3v+12 can anyone help?
motikmotik

Answer:

Step-by-step explanation:

Combine like terms

3v + 4v

26=7v+12

Subtract    12  from both sides of the equation

26-12

12-12

14=7v

Simplify

so subtract the 12's

Divide both sides of the equation by the same term

14 divided by 7

7 divided by 7

Simplify

do the division and move the term on the other side and it would be

v=2

Solution

 

v=2

4 0
3 years ago
Read 2 more answers
F(x)=x²-3 tell whether the function is quadratic or not?​
Misha Larkins [42]

Answer:

state whether this function is quadratic? why or why not?

f(x) = - 3(x - 2)(x + 3)(x + 5)

7 0
2 years ago
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