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2 years ago

Brainliest if righttt

Mathematics

2 answers:

IgorC [24]2 years ago

5 0

Answer: 4 in.

Multiply 2*2 = 4

Your answer is 4 in.

Hope this helps! :)

Brainliest please.

valentinak56 [21]2 years ago

3 0

<h3>hello!</h3>

=========================================================

In order to find the diameter, we need to multiply the radius times 2, because the radius is one half ( $\displaystyle\frac{1}{2} }$ ) of the diameter.

We are given that the radius is:-

$\bigstar{2~in}$

Multiply it times 2:-

$\bigstar{4~in}$

Hence, the diameter is equal to:-

$\bigstar{{\boxed{\pmb{4~ inches}}$

[Enter 4]

diameter: $\boxed{4}$ in.

===============================================================

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

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Leni [432]

The expression that represents the amount mother spent is 4 × 5.00 + 2.00.

This outing will cost $22.00.

Solution:

Number of members in a family = 4

Cost of one ticket = $5.00

Cost of soft drink = $2.00

Mother spent = Number of members × Cost of each ticket + Cost of soft drink

= 4 × 5.00 + 2.00

The expression that represents the amount mother spent is 4 × 5.00 + 2.00.

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3 years ago

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love history [14]

(x + y)² and z² + 4(1/2 xy) both represent the area of the outer square and are equal.

Step-by-step explanation:

Step 1: The below reasons explain why the expression is a true equation.

1. The expression (x + y)² finds the area of the outer square by squaring its side length.

[In the figure, side length of the outer square = x + y and area of a square = (side length)²]

2. The expression z² + 4(1/2 xy) finds the area of the outer square by adding the area of the inner square and the four triangles.

[In the figure the length of the inner square is z, the triangles have a base x and height y and area of a triangle = 1/2 base × height]

⇒ So the left hand side and right hand side of the expression is equal.

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3 years ago

A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2 :

stiks02 [169]

Answer:

$0.0497 - 1.96\sqrt{\frac{0.0497(1-0.0497)}{322}}=0.026$

$0.0497 + 1.96\sqrt{\frac{0.0497(1-0.0497)}{322}}=0.073$

The 90% confidence interval would be given by (0.026;0.073)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

The estimated proportion for this case is:

$\hat p =\frac{322-306}{322}= 0.0497$

Represent the proportion of defectives for this case

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.0497 - 1.96\sqrt{\frac{0.0497(1-0.0497)}{322}}=0.026$

$0.0497 + 1.96\sqrt{\frac{0.0497(1-0.0497)}{322}}=0.073$

The 90% confidence interval would be given by (0.026;0.073)

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3 years ago