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4 years ago

PLEASE NEED HELP FAST!! (10 points)

Mathematics

1 answer:

kirza4 [7]4 years ago

3 0

F(x) slope is bigger than g(x) as 6>2
G(x) because 6 is the slope of g(x) and -6 is the slope of f(x)

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For a standard normal distribution, find the approximate value of p (negative 0.78 less-than-or-equal-to z less-than-or-equal-to

topjm [15]

The approximate value of P(-0.78 ≤ Z ≤ 1.16) is obtained being 0.6593

<h3>How to get the z scores?</h3>

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have $X \sim N(\mu, \sigma)$

(X is following normal distribution with mean $\mu$ and standard deviation $\sigma$ )

then it can be converted to standard normal distribution as

$Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)$

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

$P(Z \leq z) = P(Z < z) )$

Also, know that if we look for Z = z in z-tables, the p-value we get is

$P(Z \leq z) = \rm p \: value$

For this case, we have to find:

$P(-0.78\leq Z \leq 1.16)$

It can be rewritten as:

$P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z < -0.78) \\P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z \leq -0.78)$

The p-values for Z = 1.16 and Z = -0.78 from the z-table is found as 0.8770 and 0.2177 respectively, and therefore, we get:

$P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z \leq -0.78)\\P(-0.78\leq Z \leq 1.16) = 0.8770 - 0.2177 = 0.6593$

Thus, the approximate value of P(-0.78 ≤ Z ≤ 1.16) is obtained being 0.6593

Learn more about z-score here:

brainly.com/question/21262765

8 0

2 years ago

Given AB=15cm,BC=20cm.Find AB correct 3 significant

nignag [31]

The length of AB is 25 units

<h3>How to determine the length AB?</h3>

The given parameters are

AC = 15 cm

BC = 20 cm

The triangle is right -angled at C.

So, we have:

AB^2 = AC^2 + BC^2

This gives

AB^2 = 15^2 + 20^2

Evaluate

AB^2 = 625

Take the square roots

AB = 25

Hence, the length of AB is 25 units

Read more about right triangles at:

brainly.com/question/6322314

#SPJ1

7 0

2 years ago

Find the area of the shaded region

Levart [38]

Answer:

Answers below

Step-by-step explanation:

7. Area of shape - area of small shape

A(s) = 5*5 = 25 - A(ss) = 3 = 25-3 = 22

8. Area of shape - area of small shape

A(s) = 4*2 = 8 - A(ss) = 1 = 8-1 = 7

5 0

3 years ago

A hardware store clerk mixed nuts worth $1.32 per kilogram with bolts worth $1.20 per kilogram. If he made 108 kilograms of a mi

AlladinOne [14]

Answer:

the way to work these types of problems is to create a table. The table will have three rows and three columns.

The table:

Let x represent the kilograms of nuts, then 138 - x will represent the kilograms of bolts.

Product Amount Cost Total

--------------------------------------------------------

Nuts x .60 .60 * x

Bolts 138 - x .66 .66 * (138 - x)

Mix 138 .65 .65 * (138)

Step-by-step explanation:

The equation:

The nuts plus the bolts must equal the mix or:

.60 * x + .66 * (138 - x) = .65 * 138

I do not like to work with decimals, so multiply each term by 100:

60 * x + 66 * (138 - x) = 65 * 138

Remove the parenthesis and combine like terms:

-6x = -66 * 138 + 65 * 138

-6x = -138

Divide both sides by -6:

x = 23

Solution:

The mixture contains 23 kilograms of nuts.

The mixture contains 138 - 23, or 115 kilograms of bolts.

8 0

2 years ago

What are the factors of -12?

Alenkinab [10]

Answer:

− 12 , − 6 , − 4 , − 3, −2, −1, 1, 2, 3, 4, 6 , 12

Step-by-step explanation:

-12 * 1 = -12

-6 * 2 = -12

-4 * 3 = -12

-3 * 4 = -12

-2 * 6 = -12

-1 * 12 = -12

1 * -12 = -12

2 * -6 = -12

3 * -4 = -12

4 * -3 = -12

6 * -2 = -12

12 * -1 = -12

8 0

3 years ago