Solve for x: 1 < x + 3 < 4

4 > x > 7
4 < x < 7
−2 > x > 1
−2 < x < 1
100 points!!!

Answer:

[tex]d = 1.2973\pi r^3[/tex]

Step-by-step explanation:

Given

[tex]R_1 = r[/tex]

[tex]R_2 = 0.3[/tex]

Required

The difference in their volumes

The volume of a sphere is:

[tex]V = \frac{4}{3}\pi r^3[/tex]

So, the difference d is:

[tex]d = \frac{4}{3}\pi [R_1^3 - R_2^3][/tex]

[tex]d = \frac{4}{3}\pi [r^3 - (0.3r)^3][/tex]

[tex]d = \frac{4}{3}\pi [r^3 - 0.027r^3][/tex]

[tex]d = \frac{4}{3}\pi *0.973r^3[/tex]

[tex]d = \frac{3.892}{3}\pi r^3[/tex]

[tex]d = 1.2973\pi r^3[/tex]

Volume is a three-dimensional scalar quantity. The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the sphere with radius(r) is,

Volume = (4/3)×π×r³

The volume of the sphere with radius (0.3r) is,

Volume = (4/3)×π×(0.3r)³

The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is,

Difference = [(4/3)×π×r³] - [(4/3)×π×(0.3r)³]

                  = (4/3)πr³[1-0.027]

                  = (4/3)πr³(0.973)

                  = 4.0757r³ unit³

Hence, The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.

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Answer:

bro i didt undersated the question

Step-by-step explanation:

Answer:

The answer is 90

Step-by-step explanation:

A= L*W

so when you are given the are and the width you need to divide the area by the width to find the length

Answer:

5/9

Step-by-step explanation:

The given is students that failed the test. 5 students completed the homework and failed the test and there is a total of 9 students who failed the test. So, the answer would be 5/9

Using it's concept, it is found that there is a 0.5556 = 55.56% probability that a student completed the homework given that they failed the test.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 21 - 12 = 9 students who failed the test, and of those, 9 - 4 = 5 completed the homework, hence the probability is given by:

p = 5/9 = 0.5556.

0.5556 = 55.56% probability that a student completed the homework given that they failed the test.

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Answer:

The answer is 40 Centimeters.

Step-by-step explanation:

This answer is correct since there are 4 rows of 10, creating the Rectangular prism.  i hope this helped!

Answer:

451 feet tall

Step-by-step explanation:

3*12=36

36+5=41

41*11= 451

Answer:

7.)[tex]\frac{1}{2}[/tex]

8.) [tex]\frac{1}{8}[/tex]

9.)[tex]\frac{1}{3}[/tex]

10.)[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{2}[/tex]=[tex]\frac{1}{12}[/tex]

I should know, I finished this like, a month ago?

Answer: 1 is 5.7

2 is 21.75

3 is 8.8

Step-by-step explanation:

here ya go

Answer:

AD is one-fourth the length of CE

Step-by-step explanation:

Surface area is 1256.64

Answer:

Angle A is 82

Angle B is 8

Step-by-step explanation:

Complementary means they add to 90 degrees

3x+46+x-4=90

4x+42=90

4x=48

x=12

Angle A is 3(12)+46= 82

Angle B is 12-4=8

82+8=90

Using the Central Limit Theorem, it is found that the approximate standard error of the mean for a sample size of 300 is given by:

B. 0.46

It states that the sampling distribution of sample means of size n from a population with standard deviation [tex]\sigma[/tex] has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

In this problem, we have that the parameters are [tex]\sigma = 7.89, n = 300[/tex], hence the standard error is given by:

[tex]s = \frac{7.89}{\sqrt{300}} = 0.46[/tex]

Hence option B is correct.

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Answer:

The sample must be randomly selected.

The sample size, n, must be at least 30.

Step-by-step explanation:

Plato

Answer:

The sample must be randomly selected.

The sample size, n, must be at least 30.

Step-by-step explanation:

Plato/Edmentum

Answer:

The right answer is 125.6

Answer:

A. 502.4

Step-by-step explanation

Answer:

x=24

Step-by-step explanation:

0.22(x+6)=0.2x+1.8

simplify the given equation

0.22x+1.32=0.2x+1.8

shift same kind of variables on one side

0.22x-0.2x=1.8-1.32

0.02x=0.48

For x

x=0.48/0.02

x=24

Check:

For checking subsitute the calculated value x if both sides of x are equal  then its true...

0.22(24+6)=0.2(24)+1.8

5.28+1.32=4.8+1.8

6.6=6.6

Answer:

8r.

Step-by-step explanation:

If we substitute 3 into all of these equations, we get

8(3) which equals 24

6(3) which equals 18

9(3) which equals 27

7(3) which equals 21

8r is the one that equals 24 when 3 is substituted.

Answer:

C(n) = 200 + 2n

Step-by-step explanation:

Given:

Fixed cost state by printing company = $200

Variable charges per book print = $2

Find:

Cost function of number of books print

Computation:

Assume:

Number of books printed = n

Total cost of n books printed = Fixed cost state by printing company + Variable charges per book print[Number of books printed]

C(n) = 200 + 2n

Where n = number of book

C = Total cost

Jaleel's total cost as a function of the number of books he print is [tex]c = 2n + 200[/tex]  (in dollars)

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.

If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions or equations.

For the considered case, we don't know exactly how many books will Jaleel gets printed. So we can use variable here.

Let we have:

Then, as stated in the problem, for each book there is $2 price, and there is a fixed one-time charge of $200

Thus, we get total cost as:

c = Cost for n books + Fixed one-time cost.

(we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Thus, total cost is written as:

c = Cost for n books + Fixed one-time cost.

c = 2n + 200 (in dollars)

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Answer: 100

Step-by-step explanation: BRAINLIEST

Answer:

6.5 yards

Step-by-step explanation:

1 yard = 36 inches

234/36 = 6.5

Answer: for plato users

D. 341  and 375

Step-by-step explanation:

I just took the test

The approximate 95% confidence interval for Swapna's page views is [341, 375].

Confidence interval =  mean ± Z * (standard deviation/ √sample size)

For given question,

Sample size = 40

Sample mean = 358

Standard deviation = 54.3

Critical value at 95% confidence level= 1.96

Confidence interval = 358 ± 1.96 * (54.3/ √40)

                                  = [358 - 1.96 * (54.3/ √40) ,358 + 1.96 * (54.3/ √40)]

                                  = [341, 375] (approximately)

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Answer:

Part A- yes, because all 3 sides are Equal (each side is 5)

Part B- yes, each rectangle has the dimensions 12*5

Part C- yes- since the sides are 5 and 12 you can determine that the diagonal is 13, using they Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]5^{2} +12^{2} =13^{2} \\25+144=169[/tex]- true statement, so the lateral sides are rectangles, because the corners are 90

Part D-  [tex]4\sqrt{2}[/tex] (it is a 45-45-90 triangle- so the hypotenuse is the side length times [tex]\sqrt{2}[/tex]

Part E- the diagonal face as the largest area- dimensions are [tex]4\sqrt{2} * 12\\[/tex]

the area would be [tex]48\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

data set one (74, 78, 86, 67, 80):

the mean is 77.

The median is 78

data set two (67, 74, 77, 78):

there is no mode

Step-by-step explanation:

i hope this helped<33

Answer:

17 / 8 cups of flour

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Answer:

[tex]x<2.5[/tex] and [tex]x > 2.5[/tex] are the solutions

Step-by-step explanation:

Given

[tex]-4x + 5 > -5[/tex]

[tex]-25 > -5(x + 2.5)[/tex]

Required

Determine if their solution is x < 2.5 or x > 2.5

[tex]-4x + 5 > -5[/tex]

Collect like terms

[tex]-4x>-5-5[/tex]

[tex]-4x>-10[/tex]

Divide by -4

[tex]x<\frac{-10}{-4}[/tex]

[tex]x<2.5[/tex]

[tex]-25 > -5(x + 2.5)[/tex]

Open bracket

[tex]-25 > -5x - 12.5[/tex]

Collect like terms

[tex]5x > 25- 12.5[/tex]

[tex]5x > 12.5[/tex]

Divide by 5

[tex]x > \frac{12.5}{5}[/tex]

[tex]x > 2.5[/tex]

Answer:

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