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3 years ago

Which inequality is graphed on the number line?

Mathematics

2 answers:

Rashid [163]3 years ago

8 0

Answer:

A) x + 5 > 4

Step-by-step explanation:

frozen [14]3 years ago

4 0

Step-by-step explanation:

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Obesity is a risk factor for many health problems such as type 2 diabetes, high blood pressure, joint problems, and gallstones.

kodGreya [7K]

Answer:

a. A point estimate of the BMI for adults in the United States can be calculated from the sample mean, which has a value M=44.57.

b. The sample standard deviation is s=79.9507.

c. The 95% confidence interval for the BMI of adults in the United States is (26.18, 62.96).

Step-by-step explanation:

We start by calculating the sample mean and standard deviation of the BMI data:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{75}(16.2+31.1+24.8+. . .+22.9)\\\\\\M=\dfrac{3343}{75}\\\\\\M=44.57\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{74}((16.2-44.57)^2+(31.1-44.57)^2+(24.8-44.57)^2+. . . +(22.9-44.57)^2)}\\\\\\s=\sqrt{\dfrac{473016.8667}{74}}\\\\\\s=\sqrt{6392.1198}=79.9507\\\\\\$

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=44.57.

The sample size is N=75.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{79.9507}{\sqrt{75}}=\dfrac{79.9507}{8.66}=9.232$

The degrees of freedom for this sample size are:

$df=n-1=75-1=74$

The t-value for a 95% confidence interval and 74 degrees of freedom is t=1.993.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=1.993 \cdot 9.232=18.39$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 44.57-18.39=26.18\\\\UL=M+t \cdot s_M = 44.57+18.39=62.96$

The 95% confidence interval for the BMI of adults in the United States is (26.18, 62.96).

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4 years ago

What is 21 dimes to go 30 dimes<br>

Ann [662]

Answer:

Do a quick conversion: 1 dimes = 0.1 dollars using the online calculator for metric conversions. Check the chart for more details. ... Convert dime to dollar - Conversion of Measurement Units ... 30 dime to dollar = 3 dollar. 40 dime to ... You can do the reverse unit conversion from dollar to dime, or enter any two units below: ...

Step-by-step explanation:

Not an answer but an explanation. Hope this helped :)

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3 years ago

Judy purchased a carpet for $ 233.95 and a table set for $199.08. She received a 25% discount but had to pay 8% sale tax. What i

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Answer:

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Which of the following represents a rational number?

Alexandra [31]

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