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3 years ago

Which expressions are equivalent to the given expression?

Mathematics

2 answers:

kirill [66]3 years ago

6 0

Simplify Square Roots -

Find one perfect square and one imperfect square to multiply to the square root.

$\sqrt{4 \times 10} = 2 \sqrt{10}$

$40^{ \frac{1}{2} } = \sqrt[2]{(40) ^{1} } = \sqrt{40}$

$\sqrt{40} \neq 4 \sqrt{10}$

$160 ^{ \frac{1}{2} } = \sqrt[2]{160 ^{1} } = \sqrt{160} \neq \: \sqrt{40}$

$5 \sqrt{8} \neq \: \sqrt{40}$

ale4655 [162]3 years ago

5 0

Answer:

(a). and (b).

Step-by-step explanation:

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There are 48 people in gym class

nika2105 [10]

Answer:

Step-by-step explanation:

5/8 8 people in all, 5 were in spin class, 1 was lifting weights, 2 were running.

6 0

3 years ago

Read 2 more answers

If $a=7$ and $b=13$, what is the number of even positive integers less than $ab$?

Paladinen [302]

The number of even positive integers less than a.b, i.e 90, is 45.

<h3>What are Arithmetic operations?</h3>

Arithmetic operations can also be specified by subtract, divide, and multiplying built-in functions.

Given that
a = 7 and b = 13

⇒ ab

Substitute the values of a and b in the above expression,

⇒ (7)(13)

⇒ 91

Since the number of even positive integers is less than

⇒ ab > even positive

⇒ 90 > even positive

since the even number less than a.b i.e. 91 is 90,
Here, 90 is the 45th number in the series of even positive numbers.

Thus, the number of even positive integer less than a.b, i.e 90, is 45

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ1

4 0

2 years ago

Identify the polygon that has vertices A(−10,−1), P(−7,3), E(−3,0), and X(−6,−4), and then find the perimeter and area of the po

Bogdan [553]

Answer:

square; perimeter 20 units; area 25 square units.

Step-by-step explanation:

As the attachment shows, each side of the polygon is the hypotenuse of a 3-4-5 right triangle, so has length 5 units. The perimeter is the sum of those lengths, 4×5 = 20; the area is the product of the lengths of adjacent sides, 5×5 = 25.

The figure is a square of side length 5 units.

The perimeter is 20 units; the area is 25 square units.

4 0

3 years ago

Suppose the weights of tight ends in a football league are normally distributed such that σ2=400. A sample of 11 tight ends was

AlladinOne [14]

Answer:

$217.636-1.96\frac{20}{\sqrt{11}}=205.817$

$217.636+1.96\frac{20}{\sqrt{11}}=229.455$

So on this case the 95% confidence interval would be given by (205.82;229.46)

Step-by-step explanation:

Assuming the following data: Weight 150 169 170 196 200 218 219 262 269 270 271

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma= \sqrt{400}= 20$ represent the population standard deviation

n=11 represent the sample size

Solution to the problem

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

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

In order to calculate the mean we can use the following formula:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

The mean calculated for this case is $\bar X=217.636$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$217.636-1.96\frac{20}{\sqrt{11}}=205.817$

$217.636+1.96\frac{20}{\sqrt{11}}=229.455$

So on this case the 95% confidence interval would be given by (205.82;229.46)

8 0

4 years ago

Find the solutions to x^2 - 6x + 40 = 6^x + 5

BaLLatris [955]

I am not that good at math

3 0

3 years ago