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Gwar [14]
4 years ago
11

Vicki and Tamra are working on their math homework together. Vicki has worked p problems, and Tamra has worked 4 times as many p

roblems as Vicki. The expression shows how many problems they have worked altogether. p + 4p
Mathematics
2 answers:
Sav [38]4 years ago
7 0

Answer:

Problems they worked altogether=p+4p

Step-by-step explanation:

Vicki and Tamra are working on their math homework together.

Vicki worked 'p' problems

Tamra has worked 4 times as many problems as Vicki.

Tamra worked 4 times (p)

Tamra worked 4p problems

Problems they worked altogether is problems Vicki worked + problems Tamra worked

Problems they worked altogether=p+4p

pantera1 [17]4 years ago
3 0

Answer:21

Step-by-step explanation:

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Given that the hypotenuse of this right triangle is 25 cm long and that tan(θ) = 3find the values of x and y, accurate to the ne
lara31 [8.8K]
The tangent of an angle is the opposite side divided by the adjacent side of the triangle, relative to the angle. By tan theta = 3, it means that, the adjacent side is thrice as long as the opposite side.

3a = o

Then, using Pythagorean's theorem:

25² = a² + o²
Substituting o,
25² = a² + (3a)²
25² = a² + 9a²
25² = 10a²
a = 7.9 cm

Then, 3(7.9) = o = 23.7 cm

So, the opposite side is 23.7 cm and the adjacent side is 7.9 cm.
4 0
3 years ago
Read 2 more answers
C) If a pen and a pencil cost £1.10 for both and the pen
prisoha [69]

Answer:

$3.10

Step-by-step explanation:

8 0
3 years ago
c. Using a standard deck of 52 cards, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually
dybincka [34]

Answer:

True

Step-by-step explanation:

If two events X and Y are mutually exclusive,

Then,

P(X∪Y) = P(X) + P(Y)

Let A represents the event of a diamond card and B represent the event of a heart card,

We know that,

In a deck of 52 cards there are 4 suit ( 13 Club cards, 13 heart cards, 13 diamond cards and 13 Spade cards )

That is, those cards which are heart can not be diamond card,

⇒ A ∩ B = ∅

⇒ P(A∩B) = 0

Since, P(A∪B) = P(A) + P(B) - P(A∩B)

⇒ P(A∪B) = P(A) + P(B)

By the above statement,

Events A and B are mutually exclusive,

Hence, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually exclusive event is a true statement.

4 0
4 years ago
The average starting salary for this year's graduates at a large university (LU) is $30,000 with a standard deviation of $6,000.
omeli [17]

Answer:

0.82% of the graduates will receive the tax break

Step-by-step explanation:

Problems of normally distributed samples can be 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 = 30000, \sigma = 6000

What percentage of the graduates will receive the tax break

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

Z = \frac{15600 - 30000}{6000}

Z = -2.4

Z = -2.4 has a pvalue of 0.0082

0.82% of the graduates will receive the tax break

3 0
3 years ago
kenneth’s shoe repair shop borrowed 6600$ from a bank at 8% simple interest per annum.how much did he owe the bank at the end of
marishachu [46]
Kenneth owed the bank 5,808$ per annum..
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3 years ago
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