Pleaseee help me with #7

A college student is taking two courses. The probability she passes the first course is 0.67. The probability she passes the sec

andrezito [222]

Answer:

0.58 = 58% probability she passes both courses

Step-by-step explanation:

We can solve this question treating the probabilities as a Venn set.

I am going to say that:

Event A: She passes the first course.

Event B: She passes the second course.

The probability she passes the first course is 0.67.

This means that $P(A) = 0.67$

The probability she passes the second course is 0.7.

This means that $P(B) = 0.7$

The probability she passes at least one of the courses is 0.79.

This means that $P(A \cup B) = 0.79$

a. What is the probability she passes both courses

This is $P(A \cap B)$ .

We use the following relation:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

So

$P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58$

0.58 = 58% probability she passes both courses

5 0

3 years ago

You need to decide whether to hire three landscapers or hire just two but buy a faster mower; both options will deliver the same

Westkost [7]

Answer:

I think buying a new mower will be a much more financial sound decision because it can last 3 years, however, if you hire landscapers it will cost significantly much more money than buying a new mower.

Step-by-step explanation:

Reason for this is that:

$18×2000 hours= $36,000 each year

For three years: $36,000×3=$108,000

which is more than $8,000

Hence, buying a new mower would be the better solution.

6 0

3 years ago

0.62 lowest form Pls answer! I will mark u as BRAINLIEST ANSWER

labwork [276]

Answer:

31/50 is the lowest form of 0.62

31/50 =0.62

4 0

3 years ago

The weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a standard deviation of 40 gra

lara [203]

Answer:

Step-by-step explanation:

Given that:

The mean μ = 310

The standard deviation σ = 40

Using the empirical rule to determine the following :

a. About 95 % of organs will be between what weights?

At 95% data values lies within 2 standard deviations of mean.

Thus, the required range is :

= μ ± 2σ

= ( 310 - 2 (40) , 310 + 2(40) )

= (230, 390)

b. What percentage of organs weighs between 270 grams and 350 grams

Here:

μ ± σ = (310 - 40, 310 + 40)

μ ± σ = (270, 350)

Using empirical rule, 68% data values is in the range within 1 standard deviation of mean. This implies that 68% data values lie between (270, 350).

c. What percentage of organs weighs less than 270 grams or more than 350 grams?

The complement theorem can be use to estimate the percentage of organs that weighs less than 270 grams or more than 350 grams,

This can be illustrated as :

= 100 % - 68 %

= 32 %

d. What percentage of organs weighs between 230 grams and 430 grams?

Using the empirical rule:

The percentage of organs weighs between 230 grams and 430 grams is:

u - 2σ and u + 3σ respectively.

6 0

3 years ago

Ezra enjoys gardening.

svlad2 [7]

Answer:

Ezra can plant 8 sunflowers

Step-by-step explanation:

0.7S + 0.5L < 11

0.7S + 0.5(10) < 11

0.7S + 5 < 11

0.7S < 6

6 ÷ 0.7 = 8.5

7 0

3 years ago