A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 1.01, .97, 1.03, 1.04, .99, .98, .99, 1.01, and 1.03 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximate normal distribution. Interpret the interval carefully in the context of the problem

Answer:

(0,1.5)

Step-by-step explanation:

(x,y)

Answer:

x² - 5x -24

Step-by-step explanation:

(x+3)(x-8) = x² - 8x + 3x -24 = x² - 5x -24

Answer:

It should be C.

Step-by-step explanation:

I hope this helps

Answer:

Quantity = 5 grapes

Step-by-step explanation:

Given the following data;

Quantity of grapes = 20

Cost = 48

To find the cost of each grape;

Cost of each grape = total cost/quantity

Cost of each grape = 48/20

Cost of each grape = $2.4

Now, to find how many grapes $12 can buy;

Quantity = total cost/cost of each grapes

Quantity = 12/2.4

Quantity = 5 grapes

Therefore, $12 can buy 5 grapes.

Answer:n

Step-by-step explanationaa:

Answer:

1.66666666666666666667

Step-by-step explanation:

if rounded by the nearest tenth it is 1.7

Hope this helps :)

Answer:

10/6 = 1 and 2/3

Step-by-step explanation:

10 pounds of candy, 6 bags.

that means 10 divided by 6, or 10/6

simplify that 10-6 = 4, 6 can only be subtracted once, so it is 1 and 4/6 or 2/3

2/3 is 0.666666... so add it together and you get 1.66666... or 1 and 2/3

Answer:

which language is it

Step-by-step explanation:

can you please put it in English

Answer:

B

Step-by-step explanation:

trust meh

Answer:

10

Step-by-step explanation:

abolute value= distance from zero 10 is 10 away from 0

Answer:

the answer is |10|

Step-by-step explanation:

absolute value is always positive

Answer:

angle=63°

I hope it's helps you

Answer:

b

Step-by-step explanation:

The solution for system of two equations is simply the intersection of the two functions. Hence (b) is the answer

The answer is 523.334

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²

needed to apply

4²+8²=12²

80≠144 not a right angled triangle

again

2²+√5²=3²

9=9/

side are a right angled triangle

again

2²+2²=(√8)²

4+4=8

8=8

side are a right angled triangle

Answer:

[tex]2,\sqrt{5},3[/tex] and [tex]2,2,\sqrt{8}[/tex]

Step-by-step explanation:

Answer:

perimeter = 71.4 m

Step-by-step explanation:

using the Pythagorean theorem:

CD² = 15.3² + (24 - 13.6)² = 234.09 + 108.16 = 342.25

CD = √342.25 = 18.5

perimeter = 24 + 15.3 + 13.6 + 18.5 = 71.4 m

Answer: $1.85

Step-by-step explanation: 21.55+2.25+3.89+1.95=29.64

29.64*(.0625)=1.8525

$1.85

29.64*(1.0625)=31.4925

$31.49

$31.49-$1.85=$29.64

Answer:

a. [tex]5 \frac{21}{40} [/tex]

b. [tex] \frac{1}{42} [/tex]

Step-by-step explanation:

[tex]a. \: 12 \frac{2}{5} - 6 \frac{7}{8} [/tex]

[tex] \frac{62}{5} - \frac{55}{8} [/tex]

[tex] \frac{62}{8} \times \frac{8}{8} - \frac{55}{8} \times \frac{5}{5} [/tex]

[tex] \frac{62 \times 8 - 55 \times 5}{40} [/tex]

[tex] \frac{221}{40} [/tex]

[tex]5 \frac{21}{40} [/tex]

[tex]b. \: \frac{3}{14} - \frac{4}{21} [/tex]

[tex] \frac{3}{14} \times \frac{3}{3} - \frac{4}{21} \times \frac{2}{2} [/tex]

[tex] \frac{3 \times 3}{42} - \frac{4 \times 2}{42} [/tex]

[tex] \frac{1}{42} [/tex]

Hope it is helpful....

Answer:

1230 is how much he received for the bike

Step-by-step explanation:

The big orange cooler will hold 14 pitchers of iced tea. The response is C.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Since a pitcher of iced tea holds 128 ounces, we can find the number of pitchers required to fill the large orange cooler by dividing the total volume of the cooler by the volume of one pitcher:

1792 / 128 = 14

Therefore, it will take 14 pitchers of iced tea to fill the large orange cooler. The answer is C.

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Answer:

B. Z= -2.55

Step-by-step explanation:

To solve this question, first we need to understand the central limit theroem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

11 of 50 men believe that sexual discrimination is a problem:

This means that:

[tex]p_M = \frac{11}{50} = 0.22, s_M = \sqrt{\frac{0.22*0.78}{50}} = 0.0586[/tex]

19 of 40 women believe that sexual discrimination is a problem:

This means what:

[tex]p_W = \frac{19}{40} = 0.475,  s_W = \sqrt{\frac{0.475*0.525}{40}} = 0.079[/tex]

Difference between the proportion of men and women:

[tex]p_D = p_M - p_W = 0.22 - 0.475 = -0.255[/tex]

[tex]s_D = \sqrt{s_M^2+s_W^2} = \sqrt{0.0586^2+0.079^2} = 0.0984[/tex]

A powerful women's group has claimed that men and women differ in attitudes about sexual discrimination.

This means that the null hypothesis is that they do not differ, than is, the difference is 0. So

[tex]H_0: p_D = 0[/tex]

At the alternate hypothesis, we test that they differ, that is, the difference is different of 0. So

[tex]H_a: p_D \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

For the sample, we calculated that:

[tex]X = -0.255, s = 0.0984[/tex]

The value of the test-statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-0.255 - 0}{0.0984}[/tex]

[tex]z = -2.59[/tex]

Closes answer is Z = -2.55, option B.

Answer:

[tex]6 in^{2}[/tex]

Step-by-step explanation:

Ratio d area= ( Ratio d side length)²

[tex]\frac{a}{24}=(\frac{3}{6})^{2}[/tex]

[tex]a=\frac{24*9}{36} =6[/tex]

So your answer is 6 you are correct!!

[tex]----------------[/tex]

hope it helps...

have a great day!!

Answer:

1

Step-by-step explanation:

Remember that the equation to graph a linear graph or line is y=mx+b

m is your slope and b is your y intercept. Since your line hits the y-axis at y=1, b=1.

Answer:

YES

Step-by-step explanation:

(3/8)·64 = 24 seats in the first class carriage are being used.

(7/13)·(78)·3 = 126 seats in the standard carriages are being used, for a total of ...

 24 + 126 = 150 . . . occupied seats

The number of available seats is ...

 64 +3·78 = 298

so half the seats on the train will be 298/2 = 149 seats.

 150 > 149, so more than half the seats on the train are being used.

Answer:

its 5

Step-by-step explanation:

I'm positive its B.3

Step-by-step explanation:

Answer:

B. 3

Step-by-step explanation:

[tex]interquatile \: range = (Q _{3} - Q _{1}) \\ = ( ( \frac{3}{4} \times 6) - ( \frac{1}{4} \times 6)) \\ = (4.5 - 1.5) \\ = 3[/tex]

Answer:

8 boxes

Step-by-step explanation:

Surface area of the rectangular prism:

A=2(wl+hl+hw)

A = 2(5·4+7·4+7·5) = 166

The 166 represents the square ft of one box.

Take the total number of wallpaper she has, 1328 ft^2, and divide by 166 to find the number of boxes that she can cover.

[tex]\frac{1328}{166} = 8[/tex]

Hope that helps!

Answer:

Step-by-step explanation:

Firstly lets calculate the total surface area of the cuboid

Total surface area of cuboid (A1)

= 2( l*b+ b*h +l*h)

= 2( 7 * 5+ 5 * 4 + 7 * 4)

= 166 ft²

also given that

Total area of the wallpaper ( A2)= 1328 ft²

Now

Number of boxes that she can cover is

= A2 / A1

= 1328 / 166

= 8 BOXES.

hope it will help :)

Answer:

note ;sum of two no. is not 1.

let no. be x and y.

we have

x+y=11.......(1)

x-y=5........(2)

adding equation 1&2

x+y+x-y=11+5

2x=16

x=16/2=8

again

8-y=5

y=8-5=3

:.

x=8,y=3

Answer:

N=10

3n+6=36

3n-2=28

Step-by-step explanation:see photo

Answer:

A

Step-by-step explanation:

Answer:

2/4 which simplifies to 1/2

which angle you flip it and how much force you use

Answer:

a=4bc

a=4(4)(-3)=-48

a= - 48 when b equals to 3 is equals to - 8

The required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

When a variable varies jointly as two other variables, it means that the relationship between the variables can be expressed using direct variation. In this case, we have that "a varies jointly as b and c."

To find the value of a when b = 4 and c = -3, we can set up the proportion based on the direct variation relationship:

a/bc = k

where k is the constant of variation.

Substituting the given values:

a/(4)(-3) = k

Simplifying, we have:

a/-12 = k

Now, we can find the value of a when b = 4 and c = -3 by substituting these values into the equation and solving for a:

a/(-12) = k

a/(-12) = -96/-12 (since k = -96 when b = 3 and c = -8)

a = 96

Therefore, the required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

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