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3 years ago

In a right triangle, the length of one leg is 7 ft. The length of the other leg is 10 ft. What is the length of the hypotenuse?

Mathematics

2 answers:

Nata [24]3 years ago

6 0

The other side of the triangle would be 12.206

Nonamiya [84]3 years ago

5 0

We can solve for the hypotenuse using the Pythagorean theorem: a² + b² = c²

7² + 10² = c²

49 + 100 = c²

149 = c²

√149 = √c²

12.2065... = c

Round to the nearest hundredth.

12.2065... → 12.21

The hypotenuse of the triangle is approximately 12.21 feet.

Best of Luck!

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A construction firm bids on two different contracts. Let E1 be the event that the bid on the first contract is successful, and d

marissa [1.9K]

Calculate the probability that both bids are successful

Answer:

The probability that both contracs are successful is 0.21

Step-by-step explanation:

Given

E1 = the event that the bid on the first contract is successful

E2 = the event that the bid on the second contract is successful

P(E1) = 0.3

P(E2) = 0.7

Let P(A) represent the event that both contracts are successful

P(A) = P(E1 and E2)

Since both events are independent. P(A) becomes

P(A) = = P(E1 * P(E2)

By substituton

P(A) = 0.3 * 0.7

P(A) = 0.21

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3 years ago

A particular fruit's weights are normally distributed, with a mean of 476 grams and a standard deviation of 36 grams. The heavie

4vir4ik [10]

Answer:

Step-by-step explanation:

Given that:

mean (μ) = 476 grams, standard deviation (σ) = 36 grams. P(z) = 19%

The z score shows by how many standard deviation the raw score is above or below the mean. It is given by the equation:

$z=\frac{x-\mu}{\sigma}$

Since the 19% weigh more, therefore 81% (100% - 19%) weigh less.

From the normal distribution table, the z score that corresponds to a probability of 81%(0.81) = 0.87

We substitute z = 0.88 in the z score equation to find the raw score. Therefore:

$z=\frac{x-\mu}{\sigma}\\0.87=\frac{x-476}{36}\\ x-476=31.32\\x=31.32+476\\x=507.32\\$

x ≅ 507 grams

Therefore 19% of fruits weigh more than 507 grams

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Step-by-step explanation:

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