A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi. Find the probability that the sample mean comprehensive strength exceeds 4985 psi.

Answer:

10 batches i think, sorry if im wrong

Step-by-step explanation:

To determine the number of batches of cookies you can make with 8 cups of flour and a recipe that calls for 3/4 cup per batch, you would divide 8 by 3/4.

To determine the number of batches of cookies you can make with 8 cups of flour and a recipe that calls for 3/4 cup per batch, you need to divide the total amount of flour by the required amount for each batch. So, you would divide 8 cups by 3/4 cup:

8 cups ÷ 3/4 cup = 8 ÷ 3/4 = 10 2/3 batches of cookies

Therefore, you can make approximately 10 and 2/3 batches of cookies.

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Answer:

No real Solution

Step-by-step explanation:

Plug a=14, b=9, and c=10 into the quadratic formula, and you'll get

[tex]x=(-(9)±\sqrt{-479})/ 28[/tex]

since -479 is negative, you'll get an imaginary number.

The probability that a randomly selected table will have a red tablecloth is 1/4, since there are 4 red tablecloths out of 16 tables.

The question asks for the probability that a randomly selected table will have a red tablecloth given that there are 16 tables and 4 have red tablecloths. To find the probability, we use the formula:

Probability (P) of choosing a red tablecloth = (Number of red tablecloths) / (Total number of tables)

Substituting the given numbers:

P(red tablecloth) = 4 / 16 = 1 / 4

Therefore, the probability is 1/4 or 0.25 when expressed as a decimal.

It is important to round answers to relative frequency and probability problems to four decimal places when required, but in this case, the fraction 1/4 is already as simple as it can be.

Answer:

MN = 12 units

NP = 16 units

PM = 20 units

Step-by-step explanation:

You can find MN and NP by counting on the graph. To find PM you will need to use the formula a^2 + b^2 = c^2 ( ^ stands for exponent)

MN and NP will be a and b.

Example: 12^2 + 16^2 = c^2

Simplify.

Example:

144 + 256 = c^2

144 + 256 = 400

Then find the square root of 400 which is 20.

To check your work put all of the sides into the formula and it should be true.

Answer:

A. Rashid solved the problem correctly.

Step-by-step explanation:

The missing option is given as:

Which is the most accurate description of Rashid’s work?

A. Rashid solved the problem correctly.

B. Rashid multiplied the dividend by the divisor instead of finding the reciprocal.

C. Rashid multiplied the denominators instead of finding a common denominator.

D. Rashid multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Rashid solve the problem correctly as he gave the answer in lowest form.

[tex]\frac{3}{4}[/tex] ÷ [tex]9[/tex]

[tex]\frac{3}{4} *\frac{1}{9} \\\frac{3 * 1}{4 * 9} \\\frac{3}{36} =\frac{1}{12}[/tex]

So, Rashid final answer is correct 3/36 or 1/12

Answer:

Rashid Missed This Step: [tex]\dfrac{3}{4 X 9}[/tex]

Step-by-step explanation:

Rashid solved a fraction division problem using the rule "multiply by the reciprocal."

[tex]\dfrac{3}{4} \div 9\\ =\dfrac{3}{4} X \dfrac{1}{9}\\=\dfrac{3}{36}\\=\dfrac{1}{12}[/tex]

Rashid misses a step which will now be shown below:

[tex]\dfrac{3}{4} \div 9 =\dfrac{3}{4} X \dfrac{1}{9}\\=\dfrac{3}{4 X 9}\\=\dfrac{3}{36}\\=\dfrac{1}{12}[/tex]

Out of the two units, ounce is smaller than pound and both have traditionally been used for different purposes. Whereas ounces are used to measure precious metals and spices as they are required in smaller quantities, pounds are used to measure fruits and vegetables, and interestingly, mass of people also.

Answer:

The answer to your question is 6x

Step-by-step explanation:

Data

f(x) = 3x

g(x) = 2x

(g°f)(x) = ?

Process

1.- To find (g°f)(x) substitute the value of f(x) in g(x) and simplify

-Substitution

(g°f)(x) = 2(3x)

-Simplification

(g°f)(x) = 6x

The third choice is correct

Answer:

63

Step-by-step explanation:

3x3= 9x7= 63

Answer:

-5

Step-by-step explanation:

The minimum is at the vertex.  This is at (1, -5)

The minimum value is -5

Answer:

False.

Step-by-step explanation:

it is an angle formed by 2 adjacent sides inside the polygon.

Answer:

False

Step-by-step explanation:

Interior angle is formed by 2 adjacent sides

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Total watches in an inventory = 1000

Number of shipments sent out = 168, 231, 411

So, Remaining inventory of watches would be :

[tex]1000-(168+231+411)\\\\=1000-810\\\\=190[/tex]

New receipts = 21, 145 and 11

So, Number of watches on hand becomes :

[tex]190+(21+145+11)\\\\=367[/tex]

Hence, Third option is correct.

Given:

The base of the given figure = 23.8 ft

Height of the parallelogram = 15 ft

To find the area of the shaded region.

Formula

where, [tex]A[/tex] be the area of the shaded region

[tex]A_{1}[/tex] be the area of the parallelogram.

[tex]A_{2}[/tex] be the area of the triangular part.

Now,

Putting, Base = 21, Hypotenuse = 23.8 we get,

[tex]Height^{2} = 23.8^{2}-21^{2}[/tex]

or, [tex]Height = \sqrt{566.44-441}[/tex]

or, [tex]Height = 11.2[/tex]

Therefore,

Area of the parallelogram [tex]A_{1} = (23.8)(15)[/tex] sq ft = 357 sq ft

Area of the triangle [tex]A_{2}[/tex] = [tex]\frac{1}{2}(11.2)(21)[/tex] sq ft = 117.6 sq ft

So,

The area of the shaded part = (357-117.6) sq ft = 239.4 sq ft

Hence,

The area of the shaded part is 239.4 sq ft.

The conclusions that can be drawn are 3, two of a direct type and the other of an indirect type.

The direct ones are the values. Team A has an average of 68 points per game, which means that it has a good point average and, in the same way, team B, which has an average of 67, which is still a good point average per game.

The hint is the comparison of both teams, and that is that team A is one point above team B, which in terms of points per game makes them better.

Answer:

x=4

Step-by-step explanation:

Step 1: Subtract 10 from both sides.

3x+10−10=22−10

3x=12

Step 2: Divide both sides by 3.

3x/3=12/3

x=4

if i can get brainliest that would be great

Answer:

r=1

Step-by-step explanation:

Because the table has the same input and output, the constant of proportionality is 1

Answer:

y=35x+20

Step-by-step explanation:

The equation for the given pattern of values is y = 85x - 80, found by determining the slope and y-intercept from the provided data.

The task is to find an equation for the pattern given by x = 1, 2, 3, 4, 5, and y = 5, 90, 125, 160, 195, which we can determine by using the equation for a line, y=mx+b.

To find m, the slope, we calculate the change in y divided by the change in x between two data points. Based on the given numbers, m = (90-5)/(2-1) = 85.

Once we have m, we substitute a known point (1, 5) into y=mx+b and solve for b, giving b=5- 85*1 = -80. So, our equation for the given pattern is y = 85x - 80.

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Answer:

The answer to your question is (-1, 6)

Step-by-step explanation:

Data

                       7x - y = -13               Equation l

                      -3x - y = -3                Equation ll

-Solve equation l for y

                       y = 7x + 13                Equation lll

-Substitute equation lll in equation ll

                      -3x - (7x + 13) = -3

-Solve for x

                     -3x - 7x - 13 = -3

                     -10x = 13 - 3

                     -10x = 10

                          x = 10/-10

                          x = -1

-Substitute x in equation lll

                        y = 7(-1) + 13

                        y = -7 + 13

                        y = 6

Answer:

The lengths of each side are:

a = 4 cm.

b = 7 cm.

c = 8 cm.                

Step-by-step explanation:

To solve this, we will write the equation out of the word problem given in the question, and this is done as follows;

sides of the triangle from smallest to longest = a, b, c

perimeter of the triangle = a + b + c = 19 cm - - - - - - - - - (1)

Length of the longest side is twice that of shortest side; c = 2a - - - - - - (2)

length of longest side is equal to 3 cm less than the sum of the lengths of the other two sides; c = (a + b) - 3  - - - - - - - (3)

therefore:

a + b + c = 19 - - - - - (1)

c = 2a - - - - - - - - - - (2)

c = (a + b) - 3 - - - - - - - - (3)

putting equation (2) into equation (1)

a + b + (2a) = 19

3a + b = 19 - - - - - - (4)

Substituting for c in equation (3) using equation (2)

c = (a + b) - 3 - - - - - - - - (3)  (replacing c with 2a from equation 2)

2a = a + b - 3 (making b the subject)

2a - a = b - 3

∴ b = 2a - a + 3

b = a + 3 - - - - - - -(5)

substituting for the value of b in equation (4), using equation 5

3a + b = 19 - - - - - - (4)  ( replacing b with equation 5)

3a + (a + 3) = 19

4a + 3 = 19

4a = 19 - 3 = 16

∴ a = 16 ÷ 4 = 4

since, we know 'a', calculating for b, using equation 5;

b = a + 3 - - - - - - -(5) (where a = 4)

∴ b = 4 + 3 = 7

Finally calculating for c, using equation 2

c = 2a - - - - - - - (2) (where a = 4)

c = 2 × 4 = 8

Therefore:

a = 4; b = 7 ; c = 8

Answer:

hi

Step-by-step explanation:

sue your math professor that professor is evil

Answer: 4/5 of 45 is 36

Step-by-step explanation: If you were to divide 45 by 5 you would get 9. 9 is 1/5 of 45 so if you multiplied it by 4 you would 4/5 of 45 which is 36.

The ( 4/5 )th of the number is 120 and the equation is ( 30 / 100 ) N = 45 , where N is the number and N = 150

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be represented as N

A = 30% of a number is 45

Substituting the values in the equation , we get

( 30/100 ) N = 45   be equation (1)

Multiply by 100 on both sides of the equation , we get

30 N = 4500

Divide by 30 on both sides of the equation , we get

N = 4500 / 30

N = 150

Therefore , the value of N is 150

Now , ( 4/5 )th of the number be calculated as

Let the ( 4/5 ) of the number be = B

So , the equation will be

B = ( 4/5 ) x 150

B = 4 x 30

B = 120

Hence , the number is 150 and ( 4/5 ) th of the number is 120

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Answer:

There are 12 cookies (c). It takes 2 hours (h) to bake 1 cookie. How long will it take to bake 12 cookies?

Answer:

C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

Explanation:

The following multiple choice responses are provided to complete the question:

A) The Pearson correlation results should be reported because it shows a stronger correlation with a smaller p-value (more significant).

B) The Pearson correlation results should be reported because the two variables are normally distributed.

C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

D) The Spearman correlation results should be reported because the p-value is closer to 0.0556.

Further Explanation:

A count variable is discrete because it consists of non-negative integers. The number of polyps variable is therefore a count variable and will most likely not be normally distributed.  Normality of variables is one of the assumptions required to use Pearson correlation, however, Spearman's correlation does not rest upon an assumption of normality. Therefore, the Spearman correlation would be more appropriate to report because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

Answer:

The parabola would stretch both vertically and horizontally by a factor of 2.

Step-by-step explanation:

I just took the quiz on Edg.

Answer:

8/45

Step-by-step explanation:

The simplified fraction is equal to 0.1ModifyingAbove 7 with bar is StartFraction 17 Over 9 EndFraction, the correct option is C.

Suppose the fraction is proper (the numerator is smaller than the denominator).

Let it be

[tex]\dfrac{a}{b}[/tex]

Then, we can interpret it as:

[tex]\dfrac{a}{b}[/tex] = a parts out of b parts of a thing.

We are given that;

The fraction; 0.1ModifyingAbove 7 with bar

Now,

The number 0.1 is a repeating decimal, which means it has a repeating pattern of digits after the decimal point. To convert this decimal to a fraction, we can use the fact that:

0.1= 0.111= 1/9

So the simplified fraction that is equal to 0.1 is;

StartFraction 1 Over 9 EndFraction

StartFraction 9 Over 17 EndFraction can't be simplified further.

StartFraction 8 Over 45 EndFraction can be simplified to StartFraction 16 Over 90 EndFraction.

StartFraction 17 Over 9 EndFraction can't be simplified further.

StartFraction 16 Over 90 EndFraction can be simplified to StartFraction 8 Over 45 EndFraction.

Therefore, by fraction the answer will be StartFraction 17 Over 9 EndFraction.

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Answer:

Y=5

Step-by-step explanation:

If x = 8 then y = 5

Plug x into the equation and solve

 5x - 2y = 30 <- Rewrite

5(8) - 2y = 30 <- Plug x in

 40 - 2y = 30 <- Simplify

-40          -40 <- Get y alone

        -2y = -10 <- Simplify

            y = 5 <- Divide both sides by -2 to get y

Answer:

3^-2 = 1/3^2 = 1/9

Step-by-step explanation:

3^4 * 3^-6

Using the properties of exponents

We know that a^b * a^c = a^(b+c)

3^4 * 3^-6 = 3^-2

If we only want positive exponents

We know that a^-b = 1/a^b

3^-2 = 1/3^2  = 1/9

We can also look at it

The negative exponent puts the 3's in the denominator

3*3*3*3 * 1/ (3*3*3*3*3*3)

Canceling

1/ (3*3)

1/9

Answer:

She need to cut the string 19 times

Step-by-step explanation:

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

19 cut.

Jill needs to make 19 cuts in the piece of string to have 20 smaller pieces, as each cut adds one additional piece and the first piece does not require a cut.

To determine how many times Jill needs to cut the string to get 20 smaller pieces, we need to understand the relation between cuts and pieces. Imagine having a single piece of string. Once you make a single cut, you now have two pieces.

Therefore, the number of cuts is always one less than the number of pieces you want to have because the first piece does not require a cut.

If Jill wants 20 pieces of string, she will need to make 19 cuts. This is because every cut adds one additional piece to the total count. After the first cut, there are two pieces. After the second cut, assuming she cuts one of those two pieces, there are three pieces, and so on. When she makes the nineteenth cut, she will have twenty pieces.

Final answer:

After converting the chain length from feet to inches, Tony will have 6 inches of gold chain left after making three necklaces, each requiring 16-inch pieces.

Explanation:

Tony needs to determine how much gold chain he will have left after making three necklaces, each requiring 16-inch pieces. First, we need to convert the total chain length from feet to inches. Since 1 foot equals 12 inches, 4.5 feet would be 4.5 × 12 inches, which equals 54 inches. Now, we can calculate the total length of chain needed for the necklaces by multiplying the length of one necklace (16 inches) by the number of necklaces (3), which is 16 × 3 = 48 inches.

Subtracting the total chain used for the necklaces (48 inches) from the total length of chain available (54 inches) gives us the remaining length of chain. So, 54 inches - 48 inches = 6 inches of chain leftover after making the three necklaces.