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Licemer1 [7]
4 years ago
5

EXTRA POINTS! FIND THE MISSING DIMENSION! NEED ASAP

Mathematics
2 answers:
yanalaym [24]4 years ago
7 0

Answer:

x = 10.5 in

Step-by-step explanation:

The rectangles are similar, thus the ratios of corresponding sides are equal.

that is \frac{7}{2} = \frac{x}{3} ( cross- multiply )

2x = 21 ( divide both sides by 2 )

x = 10.5


Igoryamba4 years ago
5 0
I think that X equals eight
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(3 points) A survey of 15651565 people who took trips revealed that 178178 of them included a visit to a theme park. Based on th
igor_vitrenko [27]

Answer:

We fail to reject the null hypothesis at 0.05 significance level. We cannot say that less than 12% of trips include a theme park visit.  

Step-by-step explanation:

let p be the proportion of trips included a visit to a theme park.

H_{0}: p=0.12

H_{a}: p<0.12

To test, we need to calculate test statistic of the sample proportion as:

z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of trips included visit to a theme park (\frac{178}{1565}=0.1137
  • p is the proportion assumed under null hypothesis. (0.12)
  • N is the sample size (1565)

Using the numbers, z=\frac{0.1137-0.12}{\sqrt{\frac{0.12*0.88}{1565}}}

= −0.767 and p(z) is ≈0.222

Since 0.222 > 0.05 we fail to reject the null hypothesis.

3 0
3 years ago
Write the equation of the line in point-slope form y - y1 = m ( x - x1). From the two given points ( -2, 5 ) and ( 3, -1 ). (hin
IgorC [24]

Answer:

y-5=-6/5(x+2)

Step-by-step explanation:

m=(5+1)/(-2-3)

m=6/-5

5 0
3 years ago
13) Stephanie is making lasagna for a party. The recipe uses 1 1/2 teaspoons of basil, teaspoons of salt, teaspoons of
Rasek [7]

Answer:

10.875 total, 1.5 times each are below.

Step-by-step explanation:

1.5 (1 1/2) x 1.5 = 2.25

0.5 (2/4) x 1.5 = 0.75

0.125 (1/8) x 1.5 = 1.875

4 x 1.5 = 6

2.25 + 0.75 + 1.875 + 6 = 10.875 total

7 0
3 years ago
Simplify the expression to a + bi form:<br> (12 - i)^2
xz_007 [3.2K]

Answer:

We know that, i = √-1 => i² = -1

→{(12 - i)}^{2}  \\  = {(12)}^{2}  +  {(i)}^{2} - 24i  \\  = 144 - 1 - 24i \\  =  \boxed{143 - 24i}✓

  • <u>143 - 24i</u> is the right answer.
6 0
3 years ago
Read 2 more answers
What fraction is half way between 1/4&amp;1/6 if it’s not 1/5?
Pachacha [2.7K]

Answer:

5/24

Step-by-step explanation:

If we want to know the value between 1/4 and 1/6, we have to add both values ​​and divide them by 2.

1/4     1/6

o add the values ​​they have to have the same denominator

A simple way to find one in common is to multiply both denominators with each other.

6 * 4 = 24

now we calculate the equivalent fractions for that denominator

1/4 * 6/6 = 6 / 24

1/6 * 4/4 = 4 / 24

finally we add and divide by 2 and get the value

(4/24 + 6/24) / 2 =

(10/24) / 2 =

5/24

as we can see the value is different from 1/5

3 0
3 years ago
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