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2 years ago

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Mathematics

1 answer:

Arte-miy333 [17]2 years ago

3 0

Answer:

50 + 25 + (8*5) - (7 + 4)

Step-by-step explanation:

50 + 25 + (8*5) - 7 + 4 = 50 + 25 + 40 - 7 + 4

= 115 - 7 + 4

= 108 + 4

= 112

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Divide. Write in simplest form. 10 divided by 1 2/3 ?

adell [148]

Answer: 6

Step-by-step explanation: First rewrite 10 as 10/1 and 1 and 2/3 as 5/3.

Mixed numbers can be changed to improper fractions by multiplying the denominator by the whole number and then adding the numerator. We then put out numerator over our old denominator.

So we have 10/1 ÷ 5/3 or 10/1 × 3/5.

It's important to understand that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.

Now multiplying across the numerators and across the denominators, we have 30/5. Notice however that 30/5 is not in lowest terms so we divide the numerator and the denominator by the greatest common factor of 30 and 5 which is 6 and we end up with 6.

Therefore, 10 ÷ 1 and 2/3 = 6.

8 0

3 years ago

Write in exponential notation

r-ruslan [8.4K]

Answer:

12^5

Step-by-step explanation:

12^5 means 12*12*12*12*12 (5 twelves)

6 0

3 years ago

A diagnostic test for a disease is such that it (correctly) detects the disease in 90% of the individuals who actually have the

Ne4ueva [31]

Answer:

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Test positive

Event B: Has the disease

Probability of a positive test:

90% of 3%(has the disease).

1 - 0.9 = 0.1 = 10% of 97%(does not have the disease). So

$P(A) = 0.90*0.03 + 0.1*0.97 = 0.124$

Intersection of A and B:

Positive test and has the disease, so 90% of 3%

$P(A \cap B) = 0.9*0.03 = 0.027$

What is the conditional probability that she does, in fact, have the disease

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.027}{0.124} = 0.2177$

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

3 0

3 years ago

Solve for x. Leave your answer in simplest radical form

alexandr1967 [171]

Answer:

x = 2√7

using Pythagoras theorem:

7² + ?² = 9²

?² = 81 - 49

? = √32

? = 4√2

For the bottom part:

x² + 2² = (4√2)²

x² + 4 = 32

x² = 28

x = √28

x = 2√7

5 0

2 years ago

Read 2 more answers

Question 18 (Mandatory) (2 points) Consider a ball accelerating down a hill. Which statement is true as the ball rolls down the

notka56 [123]

Answer: The potential energy decreases and the kinetic energy increases

Step-by-step explanation:

When a body is at rest , the Potential energy is maximum because the body is not moving and the acceleration is therefore zero but as soon as the body starts moving , it will convert the potential energy to kinetic energy , therefore the kinetic energy will therefore increase.

8 0

3 years ago