Which number is an integer?<br> 0-3<br> 0<br> 2.3<br> O

In which of the following expressions does the number 24 fill in the blank so that the equation is true? Select all that apply.

S_A_V [24]

The answer is A, B, and D

3 0

3 years ago

Read 2 more answers

Please someone answer this please

gladu [14]

Option C:

$\frac{3 a^{2} b^{11}}{2 }$ is equivalent to the given expression.

Solution:

Given expression:

$$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}$

To find which expression is equivalent to the given expression.

$$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}$

Using exponent rule: $\frac{1}{a^m}=a^{-m}, \ \ \frac{1}{a^{-m}}=a^{m}$

$$=\frac{-18 a^{-2} b^{5}a^{4} b^{6}}{-12 }$

$$=\frac{-18 a^{-2} a^{4} b^{5} b^{6}}{-12 }$

Using exponent rule: ${a^m}\cdot{a^n}=a^{m+n}$

$$=\frac{-18 a^{(-2+4)} b^{(5+6)}}{-12 }$

$$=\frac{-18 a^{2} b^{11}}{-12 }$

Divide both numerator and denominator by the common factor –6.

$$=\frac{3 a^{2} b^{11}}{2 }$

$$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}=\frac{3 a^{2} b^{11}}{2 }$

Therefore, $\frac{3 a^{2} b^{11}}{2 }$ is equivalent to the given expression.

Hence Option C is the correct answer.

8 0

4 years ago

Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14

denis-greek [22]

Answer:

Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation:

Given : a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

4 0

3 years ago

Please help!! Please!

Natali [406]

Answer: what’s you’re question

Step-by-step explanation:

7 0

3 years ago

What is the volume ,In cubic units ,of Anna’s figure ?

attashe74 [19]

The first column has 10 cubes.

The question states that the other two columns each have 4 fewer cubes than the first column.

10 - 4 = 6

This means that each of the other 2 columns have 6 cubes each.

Column 1: 10 Cubic units

Column 2: 6 Cubic units

Column 3: 6 Cubic units

10 + 6 + 6 = 22

Anna’s Figure has 22 Cubic Units

7 0

4 years ago

Which number is an integer? 0-3 0 2.3 O