To find FDH and FDE you first need to solve GDH.

Here’s how to set up GDH.

8x-1=6x+15

Subtract 6x from both sides so that it cancels out.

2x-1=15

Add 1 to both sides so that it cancels out.

2x=16

Divide by 2z

x=8

Plug in.

GDH: 8(8)-1+6(8)+15=78

FDH: 122+78= 200

FDE: 122+15=137

6 0

3 years ago

You are asked to do a study of shelters for abused and battered women to determine the necessary capacity in your city to provid

ohaa [14]

Answer:

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

274 shelters will be needed.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 250, \sigma = 75$

If the city’s shelters have a capacity of 350, will that be enough places for abused women on 95% of all nights?

What is the percentile of 350?

This is the pvalue of Z when X = 350.

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

$Z = \frac{250 - 150}{75}$

$Z = 1.33$

$Z = 1.33$ has a pvalue of 0.9082.

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

If not, what number of shelter openings will be needed?

The 95th percentile, which is X when Z = 1.645. So

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

$1.645 = \frac{X - 150}{75}$

$X - 150 = 1.645*75$

$X = 274$

274 shelters will be needed.

5 0

3 years ago

Copy the problems onto your paper, mark the givens and prove the statements asked.

natulia [17]

The statements and reasons for the proof are:

CN ≅ WN [given]
∠C ≅ ∠W [given]
m∠CNR ≅ ∠WNO [vertical angles theorem]
ΔCNR ≅ ΔWNO [ASA theorem]
RN = ON [CPCTC]

<h3>What is the CPCTC and ASA Congruence Theorem?</h3>

When two triangles have two corresponding congruent angles and one corresponding included sides that are congruent, both triangles are congruent by ASA. By implication, the CPCTC states that since they are congruent triangles, all its corresponding parts are congruent to each other.

The statement for the proof along with the reasons in bracket are:

CN ≅ WN [given]
∠C ≅ ∠W [given]
m∠CNR ≅ ∠WNO [vertical angles theorem]
ΔCNR ≅ ΔWNO [ASA theorem]
RN = ON [CPCTC]

Learn more about the CPCTC theorem on:

brainly.com/question/14706064

#SPJ1

8 0

2 years ago