What is the result when 16^3 +28x+22x+15 is divided by 4x+5

Answer:

[tex]s^2 = 0.9938[/tex] --- sample variance

[tex]s = 0.9969[/tex] --- sample standard deviation

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Heights} & {Frequency} & {116.1-120.0} & {38} & {120.1-124.0} & {24} &{124.1-128.0} & {28} & {128.1-132.0} & {43} & {132.1-136.0} & {29} \ \end{array}[/tex]

Required

Calculate the sample variance and sample standard deviation

First, we calculate the midpoint of each class:

[tex]\begin{array}{ccc}{Heights} & {Frequency} & {m} &{116.1-120.0} & {38} & {118.05}& {120.1-124.0} & {24}& {122.05} &{124.1-128.0} & {28} &{126.05}& {128.1-132.0} & {43} & {130.05} &{132.1-136.0} & {29} &{134.05}\ \end{array}[/tex]

The midpoints are calculated by taking the average of the class intervals.

For instance:

Class 116.1 to 120.0 has a midpoint of

[tex]m = \frac{1}{2}(116.1+120.0)[/tex]

[tex]m = \frac{1}{2}(236.1)[/tex]

[tex]m = 118.05[/tex]

The same approach is applied to other classes.

Next, is to calculate the mean:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

In this case, it is:

[tex]\bar x = \frac{\sum fm}{\sum f}[/tex]

Where

[tex]m = midpoint[/tex]

So, we have:

[tex]\bar x = \frac{118.05*38+122.05*24+126.05*28+130.05*43+134.05*29}{38+24+28+43+29}[/tex]

[tex]\bar x = \frac{20424.10}{162}[/tex]

[tex]\bar x = 126.07[/tex]

The sample variance (s^2) is:

[tex]s^2 = \frac{\sum(m - \bar x)^2}{\sum f -1}[/tex]

This gives:

[tex]s^2 = \frac{(118.05-126.07)^2+(122.05-126.07)^2+(126.05-126.07)^2+(130.05-126.07)^2+(134.05-126.07)^2}{38+24+28+43+29-1}[/tex]

[tex]s^2 = \frac{160.002}{161}[/tex]

[tex]s^2 = 0.9938[/tex]

The sample standard deviation (s) is:

[tex]s = \sqrt{s^2[/tex]

[tex]s = \sqrt{0.9938[/tex]

[tex]s = 0.9969[/tex]

Answer:

Part a:

The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.

Part b:

The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.

Part c:

The calculate value of Z = 2.1213  lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.

Step-by-step explanation:

Data as given

H 0: μ ≤ 50 against the claim H a:  μ> 50  one tailed test

Z (0.05)= ± 1.645

Sample size n= 50

Using the central limit theorem

Population Standard Deviation= σ=s=6

X= 52.5 , 51 and 51.8

Part a:

Z= x-μ/ s/ √n

Z= 52.5- 50 / 6/ √50

Z= 2.5/0.84853

z= 2.946

The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.

Part b:

Z= x-μ/ s/ √n

Z= 51- 50 / 6/ √50

Z= 1/0.84853

z= 1.17851

The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.

Part c:

Z= x-μ/ s/ √n

Z= 51.8- 50 / 6/ √50

Z= 1.8/0.84853

z= 2.1213

The calculate value of Z = 2.1213  lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.

Answer:

1.50 + 22

Step-by-step explanation:

23.5

Answer:

12 nickels. 9 dimes

Step-by-step explanation:

12 nickels is equal to 60 cents

9 dimes equals 90 cents

90 plus 60 equals 150 which is $1.50

Answer:

They purchased 20 ounces of candy total

Step-by-step explanation:

just add 12 + 8

=20 ounces

Answer:

Twenty four (24)

Step-by-step explanation:

8 ÷ one third

one third = 1/3

8 ÷ 1/3

= 8 × 3/1

= 24/1

= 24

Answer:

it's the second one a rhombus is a diamond

Answer:t  

Takes 2 Square Yards Of Each Type To Make A Sports Coat. It Takes 1 Square Yard Of Cotton And 3 Square Yards Of Wool To Make A Pleated Skirt.

Step-by-step explanation:

hope that is what you were needing

Answer:

It's 99%

Step-by-step explanation:

It just is.

A confidence interval for the true mean for all WHS seniors is 512.00 ± 47.8." The confidence level for this interval is 99%. The correct option is D.

The percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole. When expressing a sum as a percentage, 100 equal components are regarded to make up the whole.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Divide the amount by the total value to get the percentage, then multiply the resulting number by 100.

Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Therefore, the correct option is D, 99%.

To learn more about percentages, refer to the link:

https://brainly.com/question/28269290

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The question is incomplete. Your most probably complete question is given below:

90%

92%

95%

99%

over 99.9%

Answer:

73.74 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don’t know what was going on with those middle angles but adjacent angles must sum to 180 which 100 and 30 does not satisfy. The two upper angles must be (360-2(84))/2=96. It follows that the lower adjacent angles must be 180-96=84, just like the angles at top. Anyway the angle j must satisfy

j+2(84)=180

j+168=180

j=12 degrees

Answer:0.75c

Step-by-step explanation

So for this problem, 100% - 25% = 75%.

The equivalent equation will be 0.75c.

Step-by-step explanation:

2.4 x 104= 249.6

3.2 x 109= 348.8

249.6 to 3 sig is 250

348.8 to 3 sig is 349.

I hope this answers your question.

Please nominate me as brainliest, if it's correct please

Answer:

SOMEONE HURRY AND ANSWER THIS

Step-by-step explanation:

Answer:

D. 283.2 units²

Step-by-step explanation:

Surface area of the triangular prism = 2×Base Area + Perimeter of triangular base×height of prism

Base Area = ½*bh

b = 6 km

h = 5.2 km

Base area = ½*6*5.2 = 15.6 km²

Perimeter of triangular base = 6+6+6 = 18 km

Height of prism = 14 km

Plug in the values into the equation

Surface area of triangular prism = 2×15.6 + 18×14

= 31.2 + 252

= 283.2 km²

Answer:48 ft to the second power

Step-by-step explanation:

I just got it right on iready

The area of the outdoor carpet that needed for the hole should be considered as the  48 ft².

Since

we know that

Area of the rectangle = Length (breadth)

here,

L = 12 ft

b =  5 ft

So,

area = 12 × 5  

= 60 ft²

Now

The cut off triangle area

area = 1/2 × base × height

= 1/2 × 4 × 3

= 12/2

= 6 ft²

Now

The cut off rectangle area should be

area = Lb

= 3 × 2

= 6 ft²

Now finally

The area of the outdoor carpet should be

= 60 - 6 - 6

= 48 ft²

learn more about an area here: https://brainly.com/question/17971267

Answer

The sum of this sequence is  66

Answer:

8 hours

Step-by-step explanation:

it's increasing by 6 so at the end there's a reminder of 2.

Answer:

7

Step-by-step explanation:

60-16=44

44÷6≈7

Answer:

2/8 is the right answer your welcome

2/8 of a jar more full.

Tip: ALWAYS circle the numbers or key information to get the best results.

Watch what happens!

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Some key information in this problem is 7/8, and 5/8.

Since they asked us how much more and what fraction represents it, we should subtract 5/8 from 7/8 to find how much more  full Rick's jar is than Lisa's.

7/8 - 5/8 = 2/8

So in summary, Rick's jar is 2/8 more full than Lisa's jar.

Answer:

[tex]r=-3[/tex]

Step-by-step explanation:

The line that passes through the two points (6, -23) and (11, r) has a slope of 4.

We want to determine the missing value of r.

We can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (6, -23) be (x₁, y₁) and let (11, r) be (x₂, y₂). The final answer should be 4. Therefore:

[tex]\displaystyle \frac{r-(-23)}{11-6}=4[/tex]

Simplify and evaluate:

[tex]\displaystyle \frac{r+23}{5}=4[/tex]

Multiply both sides by 5:

[tex]r+23=20[/tex]

Therefore:

[tex]r=-3[/tex]

Answer:

(a) Base 7

(b) Base 5

Step-by-step explanation:

(a) 42/3 = 13 testing base 7 we have:

4x7¹ + 2x7° = 28 + 2 = 30

3x7° = 3

1x7¹ + 3x7° = 7 + 3 = 10

30/3 = 10. Therefore, 42/3 = 13 is in base 7.

(b) 23 + 44 + 14 + 32 = 223. Testing base 5 we have:

2x5¹ + 3x5° = 10 + 3 = 13

4x5¹ + 4x5° = 20 + 4 = 24

1x5¹ + 4x5° = 5 + 4 = 9

3x5¹ + 2x5° = 15 + 2 = 17

2x5² + 2x5¹ + 3x5° = 50 + 10 + 3 = 63

13+24+9+17 = 63.

Therefore, it was done in base 5.

Answer:

6. 49

7. 58

Step-by-step explanation:

6.3x-25+x+9=180

4x-16=180

4x=196

x=49

7. y=x+9=49+9=58

Answer:

5 hours cuz 75 divided by 15 is 5 or 15 x 5 is 75

4

3

As the power holds a negative, this means that we can put 1 over

9

16

, which is equal to

16

9

leaving us with;

(

16

9

)

1

2

The power of

1

2

is also another way of writing the square root;

=

√

16

9

From here you can find the square roots of 16 and 9, and giving you your final answer;

=

4

3

Step-by-step explanation:

(A)² = 9/16

A = 3/4 and -3/4

Answer:

jnjnj

Step-by-step explanation:

yes

j jlnjknjkl.n

njn

jnjnjnjn