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4 years ago

PLEASE HELP! Evaluate 4[3.1+2]

Mathematics

2 answers:

Scilla [17]4 years ago

7 0

C. 24

And the next one is A. 0

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alexgriva [62]4 years ago

5 0

Answer:

Option C 24

Step-by-step explanation:

The given is an expression which represents the ceiling function or least integer funciton.

Hence we cannot do as we do for normal integers.

Ceiling function means for any value k, ceiling funciton of k, represnted by brackets without bottom portion = the least integer which is higher than k

For example, for 2.1 least integer funciton is 3, because 3 is the least integer which is greater than 2.1 though, 4,5 ... all satisfy this

Apply this to our problem

4|_ 3.1+2_|

We find first least integer function for inside term =3.1+2 = 5.1

is 6 since 6 is just above 5.1

Now multiply 4 with 6 to get answer as 24

Answer is C

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For questions 1-4 Find the missing triangle

Semenov [28]

Answer:

1. 51°

2. 40°

3. 65°

4. 60°

Step-by-step explanation:

The sum of the angles in a triangle is 180°. We can use the angles given to find the missing angle.

1. 51°

42+87+x=180

129+x=180

x=51

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2. 40°

110+30+x=180

140+x=180

x=40

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3. 65°

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4. 60°

60+60+x=180

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3 years ago

Sam wants to know how long it will take to fill his baby pool that holds 24 gallons. After 1 minute, there are 2 gallons of wate

Alecsey [184]

I believe the x value is 12. so it is 12, 24

5 0

4 years ago

Read 2 more answers

In a population of bats living in a certain region, 30 percent have a wingspan greater than 10 inches. In a random sample of 80

Kisachek [45]

Answer:

The correct option is (e).

Step-by-step explanation:

In this case we need to determine whether there is any difference between the proportion of bats with a wingspan greater than 10 inches living outside the region from that of the bats living in the region.

The hypothesis can be defined as follows:

H₀: There is no difference between the proportion of bats with a wingspan greater than 10 inches living outside the region and of the bats living in the region, i.e. p - p₀ = 0.

Hₐ: There is a difference between the proportion of bats with a wingspan greater than 10 inches living outside the region and of the bats living in the region, i.e. p - p₀ ≠ 0.

The information provided is:

n = 80

X = 20

p₀ = 0.30

A z-test for single proportion will be used to perform the analysis.

Compute the sample proportion of bats living outside of the region having a wingspan greater than 10 inches as follows:

$p=\frac{X}{n}=\frac{20}{80}=0.25$

The test statistic is given as follows:

$z=\frac{p-p_{0}}{\sqrt{\frac{p_{0}(1-p_{0})}{n}}}$

Compute the value of the test statistic as follows:

$z=\frac{p-p_{0}}{\sqrt{\frac{p_{0}(1-p_{0})}{n}}}$

$=\frac{0.25-0.30}{\sqrt{\frac{0.30(1-0.30)}{80}}}$

$=\frac{0.25-0.30}{\sqrt{\frac{0.30\times 0.70}{80}}}$

Thus, the test statistic is $z=\frac{0.25-0.30}{\sqrt{\frac{0.30\times 0.70}{80}}}$ .

The correct option is (e).

5 0

4 years ago

Read 2 more answers

WILL GIVE BRAINLIEST

Alja [10]

A. The pair of linear equations are: x + y = 55 and y = x + 25

B. Number of time she spend running everyday is: 15 minutes.

C. It is not possible.

<h3>How to Write a System of Linear Equations?</h3>

A system of equations consist of linear equations that have unknown variables whose values make the linear equations in the system true.

Part A: To write a pair of linear equations, do the following,

Let x represent the time Jackie runs

Let y represent the time Jackie dances

We are given that, Jackie runs and dances for a total of 55 minutes every day, therefore, the first linear equation would be:

x + y = 55 --> equation 1

We are also given that Jackie dances for 25 minutes longer than she runs, therefore, the second linear equation would be:

y = x + 25 --> equation 2

Therefore, the two pair of linear equations that shows the relationship between the number of minutes Jackie runs and dances everyday are:

x + y = 55

y = x + 25

Part B: Substitute y = (x + 25) into equation 1

x + y = 55 --> equation 1

x + x + 25 = 55

2x + 25 = 55

2x = 55 - 25

2x = 30

x = 15

Therefore, the number of time she spend running everyday is: 15 minutes.

Part C:

If she spent 45 minutes dancing (y = 45), and x = 15, substitute the values into x + y = 55 to find out if it is possible.

15 + 45 = 55

60 = 55 (not true)

Therefore, it is not possible.

Learn more about the system of equations on:

brainly.com/question/13729904

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2 years ago

at a basketball game the home team scores 60% of the points. The home team scores 45 points. How many points are scored in all?

OverLord2011 [107]

Answer:

75 points

Step-by-step explanation:

45÷60%×100%=75 points in total

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3 years ago

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