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2 years ago

5

Amelia uses 6 patches of fabric per square foot to make a blanket. How many patches of fabric will she need to make a blanket th

at is 720 square inches?

1 answer:

sweet [91]2 years ago

8 0

4,320 because if you take 720 and multiply it by 6 you get your answer

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M=−(4+m)+2 what is m

Alchen [17]

Answer: m=-1

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

m-(-(4+m)+2)=0

1.1 Pull out like factors :

2m + 2 = 2 • (m + 1)

2.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

2.2 Solve : m+1 = 0

Subtract 1 from both sides of the equation :

m = -1

5 0

2 years ago

Please help with 14-17!!

rodikova [14]

14 is always 15 is sometimes 16 is sometimes

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3 years ago

Which decimal number is smallest?

nadya68 [22]

Answer:

-0.851

Step-by-step explanation:

The highest number in a negative is the smallest

4 0

2 years ago

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Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation:

Vikentia [17]

Answer:

a

$\= x = 18.5$ , $\sigma = 5.15$

b

$15.505 < \mu < 21.495$

c

$14.93 < \mu < 22.069$

Step-by-step explanation:

From the question we are are told that

The sample data is 21, 14, 13, 24, 17, 22, 25, 12

The sample size is n = 8

Generally the ample mean is evaluated as

$\= x = \frac{\sum x }{n}$

$\= x = \frac{ 21 + 14 + 13 + 24 + 17 + 22+ 25 + 12 }{8}$

$\= x = 18.5$

Generally the standard deviation is mathematically evaluated as

$\sigma = \sqrt{\frac{\sum (x- \=x )^2}{n}}$

$\sigma = \sqrt{\frac{\sum ((21 - 18.5)^2 + (14-18.5)^2+ (13-18.5)^2+ (24-18.5)^2+ (17-18.5)^2+ (22-18.5)^2+ (25-18.5)^2+ (12 -18.5)^2 )}{8}}$

$\sigma = 5.15$

considering part b

Given that the confidence level is 90% then the significance level is evaluated as

$\alpha = 100-90$

$\alpha = 10\%$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table the value is

$Z_{\frac{ \alpha }{2} } = 1.645$

The margin of error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E =1.645 * \frac{5.15 }{\sqrt{8} }$

=> $E = 2.995$

The 90% confidence interval is evaluated as

$\= x - E < \mu < \= x + E$

substituting values

$18.5 - 2.995 < \mu < 18.5 + 2.995$

$15.505 < \mu < 21.495$

considering part c

Given that the confidence level is 95% then the significance level is evaluated as

$\alpha = 100-95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table the value is

$Z_{\frac{ \alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E =1.96 * \frac{5.15 }{\sqrt{8} }$

=> $E = 3.569$

The 95% confidence interval is evaluated as

$\= x - E < \mu < \= x + E$

substituting values

$18.5 - 3.569 < \mu < 18.5 + 3.569$

$14.93 < \mu < 22.069$

8 0

2 years ago

What ratio would be used to convert 0.5 miles to yard

NeTakaya

Convert Miles to Yards:

yd =mi * 1760.0

Shown work:
mi -> yd
yd =mi * 1760.000
yd =0.5 * 1760.000
yd =880.0000

Result: 8.8e+2 OR simply just: <span>0.5mi= 880yd</span>

4 0

2 years ago

Read 2 more answers