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IrinaK [193]
3 years ago
12

Urgent! Please heeeeeeeeeeeeelp

Mathematics
2 answers:
timama [110]3 years ago
8 0

The formula for area of a triangle is: 1/2 x base x height.

You are given the height of 4 and the area of 4.

Replace those in the formula and solve for x ( base)

4 = 1/2 x base x 4

Divide both sides by 4:

1 = 1/2 x base

Multiply both sides by 2:

2 = base

x = 2

Zolol [24]3 years ago
3 0

Answer:

2=X

Step-by-step explanation:

The area of a triangle is ..

A=1/2 (b×h)

b=base

h=height

Therefore you must plug in what you know and work backwards

4=1/2 (x×4)

×2=×2

___ _________

8=(x×4)

÷4= ÷4

____ _____

2=x

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The sum of two numbers is -284. One number is 62 less then the other. Find the numbers
ira [324]

Answer:

It could be -111 and -173

Step-by-step explanation:

-111 is 62 more than -173 and together they are -284.

7 0
3 years ago
At a certain pizza parlor, % of the customers order a pizza containing onions, % of the customer's order a pizza containing saus
wel

Answer:

At a certain pizza parlor,36 % of the customers order a pizza containing onions,35 % of the customers order a pizza containing sausage, and 66% order a pizza containing onions or sausage (or both). Find the probability that a customer chosen at random will order a pizza containing both onions and sausage.

Step-by-step explanation:

Hello!

You have the following possible pizza orders:

Onion ⇒ P(on)= 0.36

Sausage ⇒ P(sa)= 0.35

Onions and Sausages ⇒ P(on∪sa)= 0.66

The events "onion" and "sausage" are not mutually exclusive, since you can order a pizza with both toppings.

If two events are not mutually exclusive, you know that:

P(A∪B)= P(A)+P(B)-P(A∩B)

Using the given information you can use that property to calculate the probability of a customer ordering a pizza with onions and sausage:

P(on∪sa)= P(on)+P(sa)-P(on∩sa)

P(on∪sa)+P(on∩sa)= P(on)+P(sa)

P(on∩sa)= P(on)+P(sa)-P(on∪sa)

P(on∩sa)= 0.36+0.35-0.66= 0.05

I hope it helps!

5 0
2 years ago
"if n balls are distributed randomly into k urns, what is the probability that the last urn contains j balls?"
seraphim [82]

The answer relies on whether the balls are different or not. If they are not, which is almost certainly what is intended.


If they are, the perceptive is a bit different. Your expression gives the likelihood that a particular set of j balls goes into the last urn and the other n−j balls into the other urns. But there are (nj) different possible sets of j balls, and each of them the same probability of being the last insides of the last urn, so the total probability of completing up with exactly j balls in the last urn is if the balls are different.


See attached file for the answer.

3 0
3 years ago
For a medical study, a researcher wishes to select people in the middle 60% of the population based on blood pressure.
Finger [1]

Answer:

Lower limit: 113.28

Upper limit: 126.72

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 = 120, \sigma = 8

Middle 60%

So it goes from X when Z has a pvalue of 0.5 - 0.6/2 = 0.2 to X when Z has a pvalue of 0.5 + 0.6/2 = 0.8

Lower limit

X when Z has a pvalue of 0.20. So X when Z = -0.84

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

-0.84 = \frac{X - 120}{8}

X - 120 = -0.84*8

X = 113.28

Upper limit

X when Z has a pvalue of 0.80. So X when Z = 0.84

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

0.84 = \frac{X - 120}{8}

X - 120 = 0.84*8

X = 126.72

4 0
3 years ago
You make and sell triangular flags. Each flag has a base of 3.5 feet and a height of 2.5 feet. Fabric for the flags costs $0.40
AlexFokin [52]

Answer:

Square feet refer to the area of the triangle. Using the area formula (1/2bh), the area is calculated to be 4.375 square feet. If each square foot costs $.40 to make, then the correct process is to multiply 4.375 by .40, making the correct answer $1.75.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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