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balu736 [363]
3 years ago
9

If you do this you are officially skilled: (SAT Prep) In the figure, if PN = LN, NP Is parallel to MQ, and QL bisects ∠PQM, what

is value of x?

Mathematics
2 answers:
kumpel [21]3 years ago
8 0

Answer:

67º

Step-by-step explanation:

IgorC [24]3 years ago
5 0

Answer:

Try the suggested solution, shown on the picture attached

Step-by-step explanation:

Note, 'm(MNO)' means m(∠MNO), and for issues 2, 4 ,5 - the described angles are angles inside the declared triangle.

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Suppose you had D dollars in your bank account. you spent $22 but have at least $28 left. how much money did you have initially?
nalin [4]

Answer:

Answer:

d--22→ 28

d→ 50

Step-by-step explanation:

Let d dollars be the initial amount in your bank account.

We have been given that you spent $22, so the amount left after spending $22 will be: .

We are also told that after spending $22, you have at least $28. This means that the amount left after spending $22 will be greater than or equal to $28.

We can represent this information in an equation as:

Therefore, the inequality represents the initial amount of money you had.

Now let us solve for d by adding 22 to both sides of our inequality.

Therefore, initially you had at least $50.

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

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8 0
2 years ago
A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa
Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

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 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.

Central Limit Theorem

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

In this problem, we have that:

\mu = 220, \sigma = 13, n = 35, s = \frac{13}{\sqrt{35}} = 2.1974

Find the interval containing the middle-most 48% of sample means:

50 - 48/2 = 26th percentile to 50 + 48/2 = 74th percentile. So

74th percentile

value of X when Z has a pvalue of 0.74. So X when Z = 0.643.

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

0.643 = \frac{X - 220}{2.1974}

X - 220 = 0.643*2.1974

X = 221.41

26th percentile

Value of X when Z has a pvalue of 0.26. So X when Z = -0.643

Z = \frac{X - \mu}{s}

-0.643 = \frac{X - 220}{2.1974}

X - 220 = -0.643*2.1974

X = 218.59

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

5 0
3 years ago
For a given input value q, the function f outputs a value r to satisfy the following equation.
NISA [10]

Answer:

22

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Sandy mixed together 9 gallons of one brand of juice and 8 gallons of a second brand of juice, which contains 48 percent real fr
Gekata [30.6K]

Answer:

14 %   pure juice comes from  first brand

Step-by-step explanation:

Mixture:

17 gal 30% contains:  17x 30% = 5.10 gal pure juice

 Second brand:

8 gal 48% contains:  8x40% =  3.84   gal pure juice

5.10 − 3.84 = 1.26   gal

1.26   gal is  coming  from 9 gal of first  brand

The percentage of first brand  is:

(1.26/9) x100  =  14 %   pure juice.

8 0
2 years ago
Q3. Trevor buys a boat. The cost of the boat is £14 200 plus VAT at 20%.
uranmaximum [27]
10 the answer is c. i don’t know if that’s correct
5 0
2 years ago
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