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3 years ago

If ΔFGH ~ ΔKJH, find x.

Mathematics

1 answer:

irina [24]3 years ago

6 0

Answer:

x = 16

Step-by-step explanation:

GH = x + 8

FH = 4x - 25

JH = 32

KH = 52

Since ΔFGH ~ ΔKJH,

GH/JH = FH/KH

Thus:

(x + 8)/32 = (4x - 25)/52

Cross multiply

52(x + 8) = 32(4x - 25)

52x + 416 = 128x - 800

Collect like terms

52x - 128x = -416 - 800

-76x = -1,216

Divide both sides by -76

x = -1,216/-76

x = 16

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A company developing a new cellular phone plan intends to market their new phone to customers who use text and social media ofte

Ber [7]

Answer:

A customer who sends 78 messages per day would be at 99.38th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Average of 48 texts per day with a standard deviation of 12.

This means that $\mu = 48, \sigma = 12$

a. A customer who sends 78 messages per day would correspond to what percentile?

The percentile is the p-value of Z when X = 78. So

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

$Z = \frac{78 - 48}{12}$

$Z = 2.5$

$Z = 2.5$ has a p-value of 0.9938.

0.9938*100% = 99.38%.

A customer who sends 78 messages per day would be at 99.38th percentile.

8 0

3 years ago

Given the function F(t) = 34000(.98)' describe whether this function is growing or decaying, and by what percent. What is the in

Eduardwww [97]

The function F(t) = 34000(.98)^t, since b = 0.98 < 1, hence the function is decaying and the initial value of the expression is 34,000.

<h3>Exponential equation</h3>

The inverse of exponential equation is logarithmic equation. The standard exponential equation is expressed as;

y = ab^x

where

a is the initial value

b determine the growth rate or decay.

If the value if b < 1, then it is a decay otherwise it is growth.

Given the function F(t) = 34000(.98)^t, since b = 0.98 < 1, hence the function is decaying and the initial value of the expression is 34,000.

Learn more on exponential function here: brainly.com/question/12940982

#SPJ1

8 0

2 years ago

An urn initially contains 5 white and 7 black balls. Each time a ball is selected, its color is noted and it is replaced in the

iragen [17]

Answer:

A. P("Select 2 black balls and then select 2 white balls")=35/768

Step-by-step explanation:

A. First, we have to get an idea of what our experiment talks about:

If I take a black ball, then we note its color and put it back to the urn with 2 more balls of the same color.

So, every time that we take a ball the quantity of balls in the urn changes with the probability that we had before replacing. The first case (that the first ball you select is black) would go like this:

P("Select a black ball first try") = 7 (number of black balls)/12 (total of balls in the urn)

P(B₁)=7/12

Then, the amount of balls in the urn rise to 14 (12 + 2 balls added) and now the quantity of black balls it´s 9 (7 + 2 added). The urn currently has 9 black balls and 5 white balls, of course:

P("Select black ball second try after getting a black ball before") = 9 (number of black balls)/ 14 (total of balls in the urn)

P(B₁B₂)=9/14

<u>Notice that while we keep taking black balls, the quantity of white ball keeps constant</u> and, for the probability that we take a white ball, we just consider the change in the number of balls in the urn

P(B₁B₂W₃)=5/16

And now, we consider the new white balls that are put in the urn (2 white balls, for a total of 18 and 7 white balls):

P(B₁B₂W₃W₄)=7/18

Because all these probabilities are chained and everything comes from the first ball we choose <u>(if you use a tree diagram, they will be in the same branch</u>), we multiply the probabilities to find the probability that all happens in the same experiment:

P(B₁)*P(B₁B₂)*P(B₁B₂W₃)*P(B₁B₂W₃W₄) = 7/12 * 9/14 * 5/16 * 7/18 = 2205/48384

P(B₁)*P(B₁B₂)*P(B₁B₂W₃)*P(B₁B₂W₃W₄)=35/768

And this is the final answer

7 0

3 years ago

HELP PLEASE 77 POINTS

Brums [2.3K]

Answer:

You find it by finding the dimensions of the X up and down, and Y left and right

Step-by-step explanation:

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3 years ago

Read 2 more answers

If 120% is £360 what is 100%

AleksAgata [21]

In this question a vital information has been provided. This information can be used for determining the answer to the question that is asked. It is given that 120% of a certain number is 360 pound. The 100% value of the number needs to be determined.
Let us assume the number to be = x
Then
120x/100 = 360
12x/10 = 360
12x = 360 * 10
12x = 3600
x = 3600/12
= 300
Now we can say that the 100% of the number or the actual number is 300 pounds. I hope the problem is clear to you and you can understand the trick involved in the question.

6 0

4 years ago