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3 years ago

The gcf of 90 and 75

Mathematics

2 answers:

aev [14]3 years ago

7 0

Answer:

$\sf \color{blue}The Answer \: \: is 5 Mark as brainliest$

eimsori [14]3 years ago

3 0

Answer:

Step-by-step explanation:

90=2*(3^2)*5

75=(5^2)*3

gcf = 3 * 5 = 15

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A survey of 700 adults from a certain region asked, "What do you buy from your mobile device?" The results indicated that 59%

Kryger [21]

Answer:

a) the test statistic z = 1.891

the null hypothesis accepted at 95% level of significance

b) the critical values of 95% level of significance is zα =1.96

c) 95% of confidence intervals are (0.523 ,0.596)

Step-by-step explanation:

A survey of 700 adults from a certain region

Given sample sizes $n_{1} = 400 and n_{2} = 300$

Proportion of mean $p_{1} = \frac{236}{400} = 0.59 and p_{2} = \frac{156}{300} = 0.52$

Null hypothesis H0 : assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

Alternative hypothesis H1:- p1 ≠ p2

a) The test statistic is

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )} } }$

where $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}$

on calculation we get p = 0.56

now q =1-p = 1-0.56=0.44

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )} } }\\ =\frac{0.56-0.52}{\sqrt{0.56X0.44}(\frac{1}{400}+\frac{1}{300} }$

after calculation we get z = 1.891

b) The critical value at 95% confidence interval zα = 1.96 (from z-table)

The calculated z- value < the tabulated value

therefore the null hypothesis accepted

conclusion:-

assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

c) 95% confidence intervals

The confidence intervals are P± 1.96(√PQ/n)

we know that = $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}$

after calculation we get P = 0.56 and Q =1-P =0.44

Confidence intervals are ( P- 1.96(√PQ/n), P+ 1.96(√PQ/n))

now substitute values , we get

( 0.56- 1.96(√0.56X0.44/700), 0.56+ 1.96(0.56X0.44/700))

on simplification we get (0.523 ,0.596)

Therefore the population proportion (0.56) lies in between the 95% of confidence intervals (0.523 ,0.596)

3 0

3 years ago

The variable x is twice the value of the variable y and the sum of x and y is 42 solve for x and y.

Oksi-84 [34.3K]

Write two equations with the given information:

1) x = 2y ( x is twice the value of y)

2) x + y = 42

Replace x in the second equation with the value of x in the first equation:

2y + y = 42

Simplify:

3y = 42

Divide both sides by 3:

y = 42 / 3

y = 14

Now we have the value for Y, solve for x by replacing y with 14:

x = 2y

x = 2(14)

x = 28

X = 28 and y = 14

4 0

3 years ago

Read 2 more answers

roberto needs 6 cookies and 2 brownies for every 4 plates he makes for a bake sale. how many does roberto need for 10 plates?

lapo4ka [179]

1.5 cookies and 0.5 brownies are needed for 1 plate. In 10 plates, you will need 15 cookies and 5 brownies.

6 0

3 years ago

Express it in slope-intercept form.

FinnZ [79.3K]

Answer:y=3/2x-3

Step-by-step explanation: the slope of the graph is (y2-y1)/(x2-x1)

If we take points (0,-3) (2,0) the slope would be (0--3)/(2-0) = 3/2

And the y-intercept of the slope is -3

8 0

3 years ago

Find the slant height l of the cone given the surface area S.

Oduvanchick [21]

9514 1404 393

Answer:

15 cm

Step-by-step explanation:

The formula for the surface area of the cone is ...

A = πr² +πrL = πr(r +L)

The radius of this cone is half its diameter so is (12 cm)/2 = 6 cm. Then the slant height L can be found from ...

126π cm² = π(6 cm)(6 cm +L)

21 cm = 6 cm +L . . . . . . . . . . . . . . divide by 6π cm

15 cm = L . . . . . . . . . . . . . . . . subtract 6 cm

The slant height is 15 centimeters.

6 0

3 years ago