10 points help please help me no understand math

Evaluate F(x)=5x-3 F(5)=

zlopas [31]

Answer:

sorry if im wrong but 22

6 0

3 years ago

A can of green spray paint is held upright 8 inches away from a wall. The nozzle on the

SVETLANKA909090 [29]

Answer:

500

Step-by-step explanation:

8 0

3 years ago

I have the are of the rectangle, but how can I find the area of the triangle?

Scilla [17]

Answer:

Step-by-step explanation:

You first times the width by the height than divide by 2

5 0

4 years ago

Read 2 more answers

About 10% of people in the United States are left handed. Suppose we take a sample of 120 U.S. Residents, and let X = the number

olganol [36]

Answer:

1) $E(X) = np = 120*0.1 =12$

$SD(X) = \sqrt{np(1-p)}= \sqrt{120*0.1*(1-0.1)} =3.286$

For this case we can interpret that the expected variation around the mean is about 3.3 people approximated

2) $P(X\geq 16)$

And we can use the normal approximation given by:

$X \sim N(12, \sigma =3.286)$

And we can use the z score formula given by:

$z = \frac{X -\mu}{\sigma}$

And if we find the z score for 16 we got:

$z = \frac{16-12}{3.286}= 1.217$

And we can find this probability using the normal standard distribution or excel and we got:

$P(Z>1.217) = 0.112$

3) For this case we can conclude that the probability to find 16 or more individuals left handed in a sample of 120 is about 0.112 or 11.2%

Step-by-step explanation:

Let X represent the random variable for the number of residents who are left handed

And for this case we can model this variable with this distirbution:

$X\sim Binom(n= 120 , p =0.1)$

Part 1

The mean is given by:

$E(X) = np = 120*0.1 =12$

And the deviation would be:

$SD(X) = \sqrt{np(1-p)}= \sqrt{120*0.1*(1-0.1)} =3.286$

For this case we can interpret that the expected variation around the mean is about 3.3 people approximated

Part 2

We want to calculate this probability:

$P(X\geq 16)$

And we can use the normal approximation given by:

$X \sim N(12, \sigma =3.286)$

And we can use the z score formula given by:

$z = \frac{X -\mu}{\sigma}$

And if we find the z score for 16 we got:

$z = \frac{16-12}{3.286}= 1.217$

And we can find this probability using the normal standard distribution or excel and we got:

$P(Z>1.217) = 0.112$

Part 3

For this case we can conclude that the probability to find 16 or more individuals left handed in a sample of 120 is about 0.112 or 11.2%

7 0

3 years ago

Write the equation of the parabola in vertex form. vertex (3,1), point (2, - 6) f(x) =?

Romashka [77]

Answer:

$f(x)=-7(x-3)^2+1$

Step-by-step explanation:

Vertex form of a quadratic is given by:

$f(x)=a(x-h)^2+k$

Where (h, k) is the vertex and a is the leading coefficient.

We are given that the vertex is (3, 1). Hence, h = 3 and k = 1. By substitution:

$f(x)=a(x-3)^2+1$

We are also given a point (2, -6). This means that when x = 2, f(x) = -6. Hence:

$-6=a((2)-3)^2+1$

Solve for a. Subtract:

$-6=a(-1)^2+1$

Simplify:

$-6=a+1$

Therefore:

$a=-7$

Hence, our quadratic is:

$f(x) = -7 (x-3)^2 + 1$

7 0

3 years ago