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Answer:

1. Given

2. Distributive Property

3. Combine like terms

4. APoE

5. SPoE

6. DPoE

I think that's the answer but I may be wrong since proofs are annoyingly difficult...

Answer:

Arc LM has length of:

Area of the given sector:

Answer:

95% of all students at private universities pay less than $58,302.5.

Step-by-step explanation:

Normal Probability Distribution:

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

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Mean of $50,900, standard deviation of $4,500

This means that [tex]\mu = 50900, \sigma = 4500[/tex]

Ninety-five percent of all students at private universities pay less than what amount?

Pay less than the 95th percentile, and the amount is given by X when Z has a pvalue of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 50900}{4500}[/tex]

[tex]X - 50900 = 1.645*4500[/tex]

[tex]X = 58302.5[/tex]

95% of all students at private universities pay less than $58,302.5.

The question supplied is incomplete :

The x parameters aren't given ; "Units with weights less than or greater than ounces will be classified as defects"

Assume the unit weights Given are ;

Units with weights less than 10.8 or greater than 11.2 ounces will be classified as defects

Just follow the procedure in the solution for any value of unit weight interval given.

Answer:

0.3173

Step-by-step explanation:

Mean weight, m = 11 ounces

Standard deviation, s = 0.2 ounces

Find the Zscore for each unit weight :

Z = (x - mean) / standard deviation

P(x < 10.8) :

Z = (10.8 - 11) / 0.2 = - 1

P(Z < - 1) = 0.15866

P(x > 11.2) :

Z = (11.2 - 11) / 0.2 = 1

P(Z > 1) = 0.84134

P(x < 11.2) - P(x < 10.8) = 1 - (P(Z < 1) - P(Z < - 1)) = 1 - 1 - (0.84134 - 0.15866) = 1 - 0.68268 = 0.31732

Hence, Probability of a defect is 0.3173

Answer:

C

Step-by-step explanation:

im just gonna take the points for falling for that.

Answer:

0.0989 = 9.89% probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show

Step-by-step explanation:

For each household, there are only two possible outcomes. Either they will tune in to the show, or they wont. The probability of a household being tuned in to the show is independent of any other household. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

She has been told that a whopping 68% of American households would be interested in tuning in to a new network version of the show.

This means that [tex]p = 0.68[/tex]

If this is correct, what is the probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show

All 6 is [tex]P(X = 6)[/tex] when [tex]n = 6[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{6,6}.(0.68)^{6}.(0.32)^{0} = 0.0989[/tex]

0.0989 = 9.89% probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show

Answer:

89-29x

Step-by-step explanation:

Answer:

-24.6

Step-by-step explanation:

-3*8.2= -24.6

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

y=4x+1

replace x with 5

y=4x5+1

y=20+1

y=21

Answer:

Step-by-step explanation:

Reference angle for 68° in QII = 180°-68° = 112°

Reference angle for 75° in QIV = 360°-75° = 285°

Answer:

Picture would be appreciated.

Answer:

84.13% of the lots received by the manufacturer will be returned to the supplier

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

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

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that the mean length of the rods in each lot is 4 meters and standard deviation is 0.04 meter.

This means that [tex]\mu = 4, \sigma = 0.04[/tex]

Sample of 64:

This means that [tex]n = 64, s = \frac{0.04}{\sqrt{64}} = 0.005[/tex]

a) What percentage of the lots received by the manufacturer will be returned to the supplier

The proportion is the pvalue of Z when X = 4.005. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{4.005 - 4}{0.005}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

0.8413*100% = 84.13%

84.13% of the lots received by the manufacturer will be returned to the supplier

Answer:

its B bro come on

Step-by-step explanation:

ok good

Answer:

1/100

Step-by-step explanation:

Answer:

Step-by-step explanation:

if tameekas sunflower is 58 millmetters and grows 8 millmeters a day then in the 7 days she grew it,  it has grown 58 millmeters.

Answer:

The answer to x is x=  −206 /31

Step-by-step explanation:

Simplify both sides of the equation.

34(x+6)=3x−2

(34)(x)+(34)(6)=3x+−2(Distribute)

34x+204=3x+−2

34x+204=3x−2

Subtract 3x from both sides.

34x+204−3x=3x−2−3x

31x+204=−2

Subtract 204 from both sides.

31x+204−204=−2−204

31x=−206

Divide both sides by 31.

31x /31 =  −206/ 31

x=  −206 /31

Answer: x=  −206 /31

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

A (6.08)

Step-by-step explanation:

Hi! Here is how you would handle this problem :D

First, multiply 1.28 (money per pound) by 4 (whole pounds), you would get 5.12. Now be careful, because there is one more step! There are 16 ounces in a pound, so 12/16 would equal to 3/4 (75%). Multiply 1.28 by .75 to find out how much you would pay for those 12 ounces. Lastly, add 5.12 and .96 (that comes from 1.28 times .75), and you get 6.08! Hope this helped, and please leave me a brainly if you can!

Answer:

u=32

Step-by-step explanation:

Hey There!

Those are a pair of complementary angles we can tell because it has a square at the angle.

When angles are complementary they add up to 90

So given one angle we subtract that by 90 to find the missing angle

90-58=32

therefore u = 32

Answer:c= a +b

Step-by-step explanation:

Answer:

$2.35

Step-by-step explanation:

17.40-6.75-5.95=$4.70

4.70 divided by 2 = 2.35 each

Answer:

5(6-6)

5(0)

0

Step-by-step explanation:

PEMDAS

Answer:

Step-by-step explanation:

first off we need to know the original sample size and if it is in there then im just cant see it

Answer:

22 gallons.

Step-by-step explanation:

11 gallons took you from 3/10 to 4/5 (same as 8/10).

so the 11 gallons was 5/10- or 1/2 the tank.

if 11 gallons =half a tank, then a full tank is 22 gallons

Answer:

66

Step-by-step explanation:

multiply everything together

Answer:

hope this helps !

your answer should be FG-220.2 feet

Step-by-step explanation:

The base of the triangle is FH

The perpendicular of the triangle GH=57 feet

The hypotenuse of the triangle is FG

We know that

sin∠F=Perpendicular/Hypotenuse

Hypotenuse= Perpendicular/sin∠F

Hypotenuse= 57/sin∠15

Hypotenuse=220.23109

Round of to nearest tenth

Hypotenuse=220.2 feet

Answer:

(a) [tex]Total = 45000[/tex]

(b) Yaw, Musa and Kofi

Step-by-step explanation:

Given

[tex]Kofi =5/9[/tex]

[tex]Yaw = 2/15[/tex]

[tex]Musa = 14000[/tex]

Solving (a): The cost of the business

First, we solve for the fraction of Musa

[tex]Musa + Kofi + Yaw = 1[/tex]

[tex]Musa = 1 - (Kofi + Yaw )[/tex]

[tex]Musa = 1 - (5/9 + 2/15)[/tex]

[tex]Musa = 1 - (\frac{25+6}{45})[/tex]

[tex]Musa = 1 - \frac{31}{45}[/tex]

[tex]Musa = \frac{45 - 31}{45}[/tex]

[tex]Musa = \frac{14}{45}[/tex]

So, we have:

[tex]\frac{14}{45} * Total = 14000[/tex]

Make Total the subject

[tex]Total = 14000 * \frac{45}{14}[/tex]

[tex]Total = 1000 * 45[/tex]

[tex]Total = 45000[/tex]

Solving (b): Partners in ascending order

First, represent the fractions as decimals

[tex]Kofi =5/9[/tex] [tex]= 0.5556[/tex]

[tex]Yaw = 2/15[/tex] [tex]= 0.1333[/tex]

[tex]Musa = \frac{14}{45}[/tex] [tex]= 0.3111[/tex]

From the conversion above, the least is 0.1333 (Yaw), then 0.3111 (Musa), then 0.5556 (Kofi).

So, the order is: Yaw, Musa and Kofi