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Irina18 [472]
3 years ago
11

The perimeter of a rectangular field is 232 yards. if the length of the field is 65 yards, what is its width?

Mathematics
1 answer:
Bond [772]3 years ago
5 0
Perimeter=2l+2w
Plug in and solve for w

w= 51 yards

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Draw the image of the rectangle ABCD under dilation using Center p and scale factor 1/2 ​
WINSTONCH [101]

Answer:

we can not draw on here

Step-by-step explanation:

7 0
3 years ago
Consider the following hypothesis test: H0: μ1 - μ2 = 0 Ha: μ1 - μ2 ≠ 0 There are two independent samples taken from the two pop
nlexa [21]

Answer:

The value of the test statistic is z = 1.78

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample 1:

\mu_1 = 110, s_1 = \frac{7.2}{\sqrt{81}} = 0.8

Sample 2:

\mu_2 = 108, s_2 = \frac{6.3}{\sqrt{64}} = 0.7875

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

Distribution of the difference:

X = \mu_1 - \mu_2 = 110 - 108 = 2

s = \sqrt{s_1^2+s_2^2} = \sqrt{0.8^2+0.7875^2} = 1.1226

What is the value of the test statistic?

z = \frac{X - \mu}{s}

z = \frac{2 - 0}{1.1226}

z = 1.78

The value of the test statistic is z = 1.78

5 0
3 years ago
What is 500 divided by 6.7
pishuonlain [190]
\boxed{ \frac{500}{6.7} = 74.627\ Answer}
7 0
3 years ago
Work out the number of boys and girls in the class.
Ne4ueva [31]

Answer:

81

Step-by-step explanation:

27 total of pupils.

girls 1×27=27

boys 2×27=54

total 54+27=81

6 0
2 years ago
42,300 as a multiple of a power of 10
Elanso [62]

I think it is
I4.23 x 10 ^4
7 0
2 years ago
Read 2 more answers
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