What is the volume of the square pyramid with base edges 16 m and height 24 m?

Question 4 of 10

Naddik [55]

The answer is D
real explanation: take 0.642 & divide it by -0.28.

7 0

2 years ago

Someone Please Help Quickly! Its an Easy Question

Paul [167]

Answer:

$y=\frac{2}{3}x-6$

Step-by-step explanation:

Use the slope-intercept form:

$y=mx+b$

m is the slope and b is the y-intercept. Looking at the graph, you can find the y-intercept. The y-intercept is the point where x equals 0:

$b=-6$

$y-intercept=(0,-6)$

To find the slope, take any two points from the line:

$(6,-2)(3,-4)$

Use the slope formula for when you have two points:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}$

The rise over run is the change in the y-axis over the change of the x-axis. Insert the appropriate values:

$(6(x_{1}),-2(y_{1})\\(3(x_{2}),-4(y_{2})$

$\frac{-4-(-2)}{3-6}$

Simplify parentheses (two negatives makes a positive):

$\frac{-4+2}{3-6}$

$\frac{-2}{-3}$

Simplify (two negatives make a positive):

$m=\frac{2}{3}$

The slope is $\frac{2}{3}$ and the y-intercept is $-6$ . Insert these into the equation:

$y=\frac{2}{3}x-6$

Finito.

7 0

2 years ago

A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates th

sergij07 [2.7K]

Answer:

(a) The mean or expected value of X is 2.2.

(b) The standard deviation of X is 1.3.

Step-by-step explanation:

Let X = number of times the traffic light is red when a commuter passes through the traffic lights.

The probability distribution of X id provided.

The formula to compute the mean or expected value of X is:

$\mu=E(X)=\sum x.P(X=x)$

The formula to compute the standard deviation of X is:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}$

The formula of E (X²) is:

$E(X^{2})=\sum x^{2}.P(X=x)$

(a)

Compute the expected value of X as follows:

$E(X)=\sum x.P(X=x)\\=(0\times0.06)+(1\times0.25)+(2\times0.35)+(3\times0.15)+(4\times0.13)+(5\times0.06)\\=2.22\\\approx2.2$

Thus, the mean or expected value of X is 2.2.

(b)

Compute the value of E (X²) as follows:

$E(X^{2})=\sum x^{2}.P(X=x)\\=(0^{2}\times0.06)+(1^{2}\times0.25)+(2^{2}\times0.35)+(3^{2}\times0.15)+(4^{2}\times0.13)+(5^{2}\times0.06)\\=6.58$

Compute the standard deviation of X as follows:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}\\=\sqrt{6.58-(2.22)^{2}}\\=\sqrt{1.6516}\\=1.285\\\approx1.3$

Thus, the standard deviation of X is 1.3.

4 0

3 years ago

Read 2 more answers

Divide 7/15 by 3/5. A. 75/21 B. 7/9 C. 7/25 D. 21/75

Digiron [165]

In this question there is nothing complicated. Only thing is to know the way fractions can be divided. Once that is known the problem would be one of the easiest to solve. Now let us get back to the problem and look at all the information's that are given in the question.
Divide 7/15 by 3/5 = (7/15)/(3/5)
      = (7 * 5)/(15 * 3)
   = (35/45)
Dividing the numerator and the denominator by 5 for simplifying purpose, we get
   = 7/9
So from the above deduction we can easily conclude that 7/9 is the correct answer and option "B" is the correct option among all the options given in the question.

5 0

3 years ago

Read 2 more answers

What property justifies this statement

Varvara68 [4.7K]

Answer:

B. SUBTRACTION PROPERTY OF EQUALITY

Step-by-step explanation:

4 0

3 years ago