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Arada [10]
3 years ago
9

Which of the following best describes a point of symmetry?A. The point about which an image is rotated in rotational symmetryB.

The point that divides an image into two congruent partsC. The point that is used to construct congruent circlesD. The point that is used to form a perpendicular segment with paper folding
Mathematics
2 answers:
EleoNora [17]3 years ago
6 0
If I am correct it will be A.
MaRussiya [10]3 years ago
4 0
A. the answer would the first one i believe 
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sergejj [24]

Answer:

The green box would be \frac{1}{8}.

Step-by-step explanation:

\frac{1}{2^{3}} = \frac{1}{8}

7 0
3 years ago
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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).

4 0
4 years ago
What is the value of (-5) to the power of 2
maria [59]

Answer:

25

Step-by-step explanation:

(-5)^2=(-5)*(-5)=25

4 0
3 years ago
Mr.fields orderd 3 tons of gravel for a driveway at a factory. how many pounds of gravel did he order?
astra-53 [7]
2,000 lb = 1 ton

2,000×3=6,000 lb

Mr.Fields ordered 6,000 pounds of gravel


hope this helped
8 0
4 years ago
Whats the order of rotational symmetry for brainlest
satela [25.4K]

Answer:

<h2>1</h2>

Step-by-step explanation:

A circle has rotation symmetry around the center for every angle. A circle has an unlimited number of angles of symmetry and the order of its rotation is infinite.

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3 years ago
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