What is the surface area of the cube? cube with edge length = 4.5 m

What is the z-score of a value that is 2.08 standard deviations greater than the mean?

Nuetrik [128]

The question is asking to states the value of the z-score of a value that is 2.08 standard deviations greater than the mean and base on my research, the possible answer would be z-score is the number of standard deviations above the mean. If you are 5 standard deviations above the mean, that is defined as z = 5. If you are 1.1 standard deviations above the mean, that is defined as z = 1.1. 
And so if you are 2.08 standard deviations above the mean

6 0

3 years ago

2x - 3y = 12 x = 4y + 1

aliya0001 [1]

Answer:

x = 9, y = 2 is the solution of the given system.

Step-by-step explanation:

Here, the given set of equation is :

2 x - 3 y = 12

x = 4 y + 1

Now, from equation (2) we see that x = 4 y + 1.

Substitute the value of y from (2) in the first equation. we get:

2 x - 3 y = 12 ⇒ 2 (4 y + 1) - 3 y = 12

or, 8 y + 2 - 3 y = 12

or, 5 y = 12- 2 = 10

or, y = 10/ 5 = 2

or, y = 2

Now, x = 4 y + 1 ⇒ x = 4(2) + 1 = 8 + 1 = 9, or x = 9

Hence, x = 9, y = 2 is the solution of the given system.

5 0

3 years ago

Please help!!!! what is the least common denominator of 1/6, 10/11, 5/12?

Vesna [10]

<h3>Answer: LCM = 132</h3>

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Work Shown:

LCM = least common denominator

List out the prime factorization of each denominator

6 = 2*3
11 = 1*11
12 = 2*2*3

So we have the list of primes 2,3, and 11 that help form the denominators when we multiply some of them together.

The prime 2 shows up at most twice, so 2*2 = 4 is a factor of the LCM

The prime 3 shows up at most one time, meaning 3 is also a factor

The prime 11 shows up at most one time, so 11 is another factor

Multiply these factors to get 4*3*11 = 12*11 = 132

The LCM is 132

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Another Approach:

Focus on 1/6 and 10/11 for now. The LCM is 66 because 6*11 = 66. We simply multiply the denominators together. Then we divide over the GCF 1 to get 66/1 = 66.

The LCM of 1/6 and 10/11 is 66

The fractions 1/6 and 10/11 are equivalent to 11/66 and 60/66 respectively

The original list of fractions updates to 11/66, 60/66, 5/12

We've gone from 3 different denominators to now 2 different denominators.

Repeat the steps of multiplying the denominators and dividing by the GCF

66*12 = 792

792/(gcf of 66 and 12) = 792/6 = 132

So the LCM of all the fractions is 132.

3 0

3 years ago

Find the annual rate of interest. Principal = 4600 rupees, Period = 5 years, Total amount = 6440 rupees, Annual rate of interest

Len [333]

The annual rate of interest per year is 8%

Solution:

Given:- Principal (p) = 4600 rupees, Time –Period (t) = 5 years, Total amount(A) = 6440 rupees

First we will calculate the Interest and then using formula of simple interest we will calculate the rate of interest

Interest = Amount – Principal

Interest = 6440 – 4600 = 1840

Now using the formula of simple Interest and on putting values we get,

$\text {Simple Interest }=\frac{P \times R \times T}{100}$

Where "P" is the principal and "R" is the rate of interest per annum and "T" is the time period

$1840=\frac{4600 \times R \times 5}{100}$

$\begin{aligned} \mathrm{R} &=\frac{1840 \times 100}{4600 \times 5} \\\\ \mathrm{R} &=\frac{1840}{230} \\\\ \mathrm{R} &=8 \% \end{aligned}$

Hence, the required rate of interest per year is 8%

6 0

3 years ago

DESPERATE NEED HELP PLEASEEE (08.01)

HACTEHA [7]

Answer:

(−2, 3), because both lines pass through this point

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hope that helps

5 0

3 years ago