The screenshot is the question.

Answer:

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

7933 parts

b) How many would have a tensile strength in excess of 48 pounds?

2739.95 parts

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

z = (x-μ)/σ

x = 35 μ = 40 , σ = 5

z = 35 - 40/5

= -5/-5

= -1

Determining the Probability value from Z-Table:

P(x<35) = 0.15866

Converting to percentage = 15.866%

We are asked how many will fail to meet this specification

We have 50,000 parts

Hence,

15.866% of 50,000 parts will fail to meet the specification

= 15.866% of 50,000

= 7933 parts

Therefore, 7933 parts will fail to meet the specifications.

b) How many would have a tensile strength in excess of 48 pounds?

z = (x-μ)/σ

x = 48 μ = 40 , σ = 5

z = 48 - 40/5

z = 8/5

z = 1.6

P-value from Z-Table:

P(x<48) = 0.9452

P(x>48) = 1 - P(x<48)

1 - 0.9452

= 0.054799

Converting to percentage

= 5.4799%

Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds

We are asked, how many would have a tensile strength in excess of 48 pounds?

This would be 5.4799% of 50,000 parts

= 5.4799% × 50,000

= 2739.95

Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds

Answer:

The slope is -1.

Answer:

-1

Step-by-step explanation:

To solve follow the formula Y1-Y2 over X1-X2, pick two points like (0,2) and (1,1) then plug them in.

2-1 over 0-1 which equals -1/1

Answer:

69

Step-by-step explanation:

Answer:

Z score=2.46.

Step-by-step explanation:

The Z score for sample mean $31,650 can be computed by using following formula

[tex]Z=\frac{xbar-Population mean}{\frac{sigma}{\sqrt{n} } }[/tex]

Here, sample mean=xbar=31650

population standard deviation=sigma=3339

population mean=29056

and sample size=n=10.

[tex]Z=\frac{31650-29056}{\frac{3339}{\sqrt{10} } }[/tex]

[tex]Z=\frac{2594}{1055.885}[/tex]

Z=2.4567

Z=2.46 (rounded to two decimal places).

Hence the resultant z-score is 2.46.

Answer:

997 kg/m³

Step-by-step explanation:

I just looked it up, hopefully it's the right answer

Answer:

18.85

Step-by-step explanation:

Answer:

$140

Step-by-step explanation:

i assume ur asking for how much is left over

250-35= 215

215-75= 140

$140 left

Answer:

30 students

Step-by-step explanation:

Number of students called back for second audition

[tex] = \frac{3}{4} \times 40 \\ \\ = 3 \times 10 \\ = 30[/tex]

Answer:

30 students were called back for audition

Step-by-step explanation:

every 1/4=10 student so 3/4 will be 30 students altogether

Answer:

(a) Total No. of Subsets = 128

(b) Total No. of Proper Subsets = 127

Step-by-step explanation:

First we need to define the set of days of the week.

Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

It is evident from the set of days of the week, that it contains 7 elements.

(a)

The total no. of subsets of a given set is given by the following formula:

Total No. of Subsets = 2^n

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Subsets = 2^n

Total No. of Subsets = 2^7

Total No. of Subsets = 128

(b)

The total no. of proper subsets of a given set is given by the following formula:

Total No. of Proper Subsets = (2^n) - 1

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Proper Subsets = (2^n) - 1

Total No. of Proper Subsets = (2^7) - 1 = 128 - 1

Total No. of Proper Subsets = 127

The total number of subsets is 128 and the total number of proper subsets is 127 and this can be determined by using the given data.

Given :

The set of days of the week.

The following steps can be used in order to determine the number of subsets and the number of proper subsets:

Step 1 - According to the given data, the set is given below:

S = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

Step 2 - Now, the total number of subsets is given by the formula [tex]2^n[/tex] where 'n' is the number of elements of the set.

[tex]{\rm Total\;Subsets} = 2^7\\{\rm Total\;Subsets} = 128[/tex]

Step 3 - Now, the total number of proper subsets is given by the formula [tex](2^n-1)[/tex] where 'n' is the number of elements of the set.

[tex]{\rm Total\; Proper\; Subsets}=2^7-1\\{\rm Total\; Proper\; Subsets}=127[/tex]

a) The total number of subsets is 128.

b) The total number of proper subsets is 127.

For more information, refer to the link given below:

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Answer

x≥18

Step-by-step explanation:

1/5 is the answer :0000

There will be twelve and a half city blocks of the street sweepers clean on Tuesday.

The numerator, which is found at the top of the fraction number, and the denominator, which is located at the bottom, are its two component components.

It is given that, four city blocks were cleaned by a crew of street sweepers on Monday. The crew cleaned 2 1/6 as many blocks on Tuesday as they did on Monday.

Suppose the number of city blocks the street sweepers cleaned on Tuesday will be x,

x = 4 +  2 1/6 × 4

x=4+13/6×4

x=12.6≈ 12 1/2

Thus, the street sweepers will clean twelve and a half city blocks on Tuesday.

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Answer:

Yes, the matrices are inverses of each other.

Step-by-step explanation:

Kindly check attached picture for the organized question and answer

Answer: Start by listing the first five multiples of each number. Then circle the common multiples. Finally, identify the least of these common multiples. The LCM of 8 and 10 is 40.

Step-by-step explanation:

Answer:

Start by listing the first five multiples of each number. Then circle the common multiples

Step-by-step explanation:

Answer:

The plot shows a positive linear association. Price is the explanatory variable.

*See attachment for the scatterplot of the data

Step-by-step explanation:

The rate of deforestation is dependent on the price of coffee. Therefore, the explanatory variable is the price of coffee, which affects rate of deforestation.

The response variable is the rate of deforestation. The rate of deforestation is influenced by the price of coffee.

When plotting a scatter plot, the values for the explanatory variable are plotted on the x-axis, while the response variables are plotted on the y-axis.

The data given below is what we would use in plotting the scatterplot shown in the attachment:

Explanatory variable, X, (Price, cents per pound) => Response variable, Y, (deforestation, %)

25 => 0.31

49 = > 1.69

60 => 1.66

55 => 1.7

68 => 3.31

The scatterplot graphed as shown in the attachment shows a positive linear relationship between price of coffee and rate of deforestation. As price increases, rate of deforestation also increases.

Circumference = 2pi*r

r = radius

In our problem,

circumference = 36pi

r = ?

Let's plug our values into the formula above.

36pi = 2pi * r

Divide both sides by 2pi

18 = r

Answer:

5*75

Step-by-step explanation:

Answer:6

Step-by-step explanation:

If you divide 5.00 by 0.75 and you'll get 6.6666666667 and it says how many candy bars so it will be 6 because the other point and lower stuff isn't a whole candy bar

Answer:

The answer is 2169

Step-by-step explanation:

You would do 15,183 x 7 because there are seven days in a week.

Answer:

1. "Everyone is doing it"; 2. "It's fun to use our products"; 3. "You will be successful if you use our products."

Step-by-step explanation:

∆....A....∆

1 6

2 18

3 54

4 162

5 486

The function with the greatest y-values for very large values of x is C.

The y-values in function C increase at a much faster rate compared to the other functions as x becomes larger. In function C, the y-values are growing with a constant difference of 200 for each increase in x. This means that for every unit increase in x, the y-value increases by 200. This linear relationship results in significantly larger y-values for larger x-values.

On the other hand, the other functions (A, B, and D) do not exhibit such rapid growth. Function A has a cubic relationship, which does lead to larger values than a linear relationship, but it is still not as rapid as the linear increase in function C. Function B also has a linear relationship, but the constant difference between y-values is much smaller than in function C (only 75).

Function D has a constant difference of 5 between y-values, resulting in a very slow growth as x becomes larger.

In conclusion, function C has the greatest y-values for very large values of x due to its linear relationship with a constant difference of 200 between y-values for each unit increase in x.

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Answer: 80,304

Step-by-step explanation:

You are correct because in 8,304, the 8 is 8,000, and in 80,304, the 8 is 80,000.

8,000 x 10 = 80,000 so there you go. Also, the answer can be any 5 digit number with 8 as the ten thousands place(examples. 89,192, 83,026, 80,000)

Answer:

QR = 16

Step-by-step explanation:

Because PML ~ TRQ

So PM / TR = ML / RQ

35 / 14 = (7x-9) / (2x+2) = 5/2

2(7x-9) = 5(2x+2)

14x-18 = 10x + 10

4x = 28

x= 7

=> QR = 2(7) + 2=16

Step-by-step explanation:

4 + 7 x X = 22

4+7x=22

7x=22-4

7x=18

x=18/7

Answer:1933

Step-by-step explanation:

Answer:

RSM = 56.4

Step-by-step explanation:

RSM + MST = RST

RSM + 33.6= 90

Subtract 33.6 from each side

RSM + 33.6 - 33.6= 90-33.6

RSM= 90-33.6

RSM = 56.4

RST is a right angle, and right angles are 90 degrees

RST = 90 degrees

MST = 33.6 degrees

RSM = ?

The angles MST and RSM add up to 90 degrees

90 = 33.6 + RSM

Subtract 33.6 from both sides

56.4 degrees = RSM

Answer:

85 F

Step-by-step explanation: Subtract and add the increase and decrease along each day.

Friday: 82 F  

Saturday: 80 F

Sunday: 85 F

Answer:

C. 42.

Step-by-step explanation:

This is an arithmetic sequence with common difference d = 4 and first term a = -3.

Sum of n terms = (n/2)[2a + (n - 1)d]

Sum of  six terms = (6/2)[2(-3) + (6 - 1)4]

= 3 * (-6 + 20)

= 42.

Answer:

C) 42

Step-by-step explanation:

Given is an Arithmetic Sequence, where

First term a = - 3

Common Difference d = 1-(-3)= 4

n = 6

[tex]S_6=? \\ \\ \because \: S_n = \frac{n}{2} \{2a + (n - 1)d \} \\ \\ \therefore \: S_6 = \frac{6}{2} \{2 \times ( - 3) + (6 - 1)4 \} \\ \\ \therefore \: S_6 = 3 \{ - 6 + 20\} \\ \\ \therefore \: S_6 = 3 \times 14 \\ \\ \huge \red{ \boxed{ \therefore \: S_6 = 42}}[/tex]