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2 years ago

A number greater than -5 as an inequality

Mathematics

1 answer:

charle [14.2K]2 years ago

8 0

Answer:

n > -5

Step-by-step explanation:

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In a group of 28 students, 12 study both Art and Biology.

MAVERICK [17]

Answer:

100%

Step-by-step explanation:

Use conditional probability:

P(B | A) = P(B and A) / P(A)

P(B | A) = (12/28) / P(A)

We need to find the probability that a student studies art.

P(A or B) = P(A) + P(B) − P(A and B)

24/28 = P(A) + (12+12)/28 − 12/28

P(A) = 12/28

P(B | A) = (12/28) / (12/28)

P(B | A) = 1

What this means is that all of the students who study art also study biology.

3 0

3 years ago

The average systolic blood pressure was found to be 140 mm for people who have high responsibility jobs, specifically investment

9966 [12]

Answer:

Option B)

$H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}$

Step-by-step explanation:

We are given the following in the question:

Hypothesis:

The doctors and u=instructor claims that practicing yoga reduces blood pressure and hence is beneficial to people.

Population mean, μ = 140 mm

Sample mean, $\bar{x}$ = 139 mm

Sample size, n = 51

Sample standard deviation, s = 5 mm

Thus, we can design the null hypothesis and alternate hypothesis as

$H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}$

The null hypothesis states that the population have a blood pressure of 140 mm. The alternate hypothesis states that yoga reduces the blood pressure and the sample has a blood pressure less than 140 mm.

Thus, the correct answer is

Option B)

$H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}$

3 0

2 years ago

Find the slope-intercept form of the equation of the line passing through the points.

LekaFEV [45]

Plog in to y=ax+b and u will find a b

5 0

2 years ago

Juan builds a square dog pen that has an area of 100 square feet. He then builds a second pen that has an area of 49 square feet

EleoNora [17]

Answer:

51%

Step-by-step explanation:

Simple. 100-49=51

4 0

3 years ago

Read 2 more answers

Joe, John and Jason are each a year apart in age. If the

-Dominant- [34]

Answer:

Jason is 14 year old.

Step-by-step explanation:

Given: Joe, John and Jason are each a year apart in age.

Sum of their age is 39.

Lets assume the age of Joe be x

∴ Age of Jahn will be $(x+1)$

And age of Jason will be $(x+2)$

Now, putting up an equation for the sum of their age.

∴ $x+(x+1)+(x+2)= 39$

Opening the parenthesis.

⇒ $x+x+1+x+2= 39$

⇒ $3x+3= 39$

Subtracting both side by 3

⇒ $3x= 36$

Dividing both side by 3

⇒ $x= \frac{36}{3}$

∴ $x= 12\ years$

Hence, Joe is 12 year old.

Next subtituting the value of x to find age of Jason and John.

Jason= $(x+2)= 12+2$

∴Jason= 14 years.

John age= $(x+1)= 12+1$

∴ John Age= 13 years.

Hence, Jason is 14 year of age.

5 0

3 years ago