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3 years ago

Mr. Smith's first test's data: 55, 42, 78, 99, 69, 83, 74, 83, 97.

Mathematics

2 answers:

irina1246 [14]3 years ago

5 0

Answer:

arrange it first in increasing order

42,55,69,74,78,83,83,97,99

n=9

we have

Q2=(n+1)/2th term=(9+1)/2th term=5thterm=78

Citrus2011 [14]3 years ago

4 0

Answer:

Step-by-step explanation:

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The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m). A coach has drawn

vladimir2022 [97]

Answer:

Proportion states that the two equal ratios or fractions are equal.

Use conversion:

1 m = 100 cm

As per the statement:

The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m

⇒Actual length = 120 m and Actual width = 90 m

It is also given that:

A coach has drawn a scale model of the field on a blackboard. If the longest side of his drawing is 18 cm.

⇒ Drawing length = 18 cm = 0.18 m

By definition of proportion:

$\frac{\text{Actual length}}{\text{Actual width}}=\frac{\text{Drawing length}}{\text{Drawing width}}$

Substitute the given values we have;

$\frac{120}{90}=\frac{0.18}{\text{Drawing width}}$

By cross multiply we have;

$120 \cdot \text{Drawing width} = 90 \cdot 0.18$

Simplify:

$120 \cdot \text{Drawing width} =16.2$

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4 years ago

Liz wants to estimate the percentage of people who rent their home. She surveys 320 individuals and finds that 176 rent their ho

SOVA2 [1]

Answer: 0.065

Step-by-step explanation:

Given : Sample size : n= 320

The sample proportion of people who rent their home : $p=\dfrac{176}{320}=0.55$

Significance level : $\alpha:1-0.98=0.02$

Then , Critical value : $z_{\alpha/2}=2.33$

The formula to find the margin of error : -

$E=z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\\Rightarrow\ E=(2.33)\sqrt{\dfrac{0.55(1-0.55)}{320}}\\\\\Rightarrow\ E=0.064799034281\approx0.065$

Hence, the margin of error for the confidence interval for the population proportion with a 98% confidence level =0.065

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3 years ago