A manufacturer produces safety jackets for competitive fencers. These jackets are rated by the minimum force, in newtons, that will allow a weapon to pierce the jacket. When the production process is operating correctly, it produces jackets that have ratings with an average of 840 newtons and a standard deviation of 14 newtons.FIE, the international governing body for fencing, requires jackets to be rated at a minimum of 825 newtons.To check if the process is operating correctly, a manager takes a random sample of 49 jackets from the process, rates them, and calculates the mean rating for jackets in the sample, which turns out to be 830 newtons. She is confident that the standard deviation of the process is at the specified value of 14 newtons.What is the p-value of the appropriate test if she wants to check if the production process currently meets the FIE standards

Answers

Answer 1

Answer:

0

Step-by-step explanation:

H0 : μ = 840

H1 : μ < 840

Sample size, n = 49

Standard deviation, s = 14

Test statistic = (xbar - μ) ÷ (s/√(n))

Test statistic = (830 - 840) ÷ (14/7)

Test statistic = - 10 / 2

Test statistic = - 5

The Pvalue ;

Pvalue = P(Z < - 5) = 0 (Z probability calculator)

The Pvalue = 0


Related Questions

Need the full equation, will give Brainly :)

Answers

Answer:

5x+3

Hope this helps!

Your are filling your rectangular hot tub with water. The base is 76 inches by 64 inches. The hot tub hole allons of water. If the hot tub is one-fourth full, what is the approximate height of the water? (5d- Zlinou are filling your rectangular hot tub with water. The base is 76 inches by 64 inches. The hot tub hold allons of water. If the hot tub is one-fourth full, what is the approximate height of the water?

Answers

Answer:

1216 inches

Step-by-step explanation:

First you multiply ¼ by 76 times 64

which gives you 1216 inches

Find the surface area

Answers

Answer:

542.592

Step-by-step explanation:

3.14 x 8 squared + 3.14 x 8 x 13.6

Bridgette has drawn a representation of a sphere with a
radius of 3 units, using the graphs of a circle and an ellipse,
as shown in the picture below on the left.
She needs to determine the equations of the graphs that
will generate the representation of the 3D sphere, as
shown in the picture below on the right.
What are possible equations of the circle and ellipse that
Bridgette can use to create her 3D drawing?

Answers

Answer:

  C

Step-by-step explanation:

You want the equations of the circle and ellipse in the given figure.

Equations

The standard form equation for an ellipse is ...

  [tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]

where 'a' and 'b' are the semi-axes in the x-direction and y-direction, respectively.

You will notice that when a=b=r, the ellipse becomes a circle and the equation can be rewritten as ...

  [tex]\dfrac{x^2}{r^2}+\dfrac{y^2}{r^2}=1\ \Longleftrightarrow\ x^2+y^2=r^2[/tex]

Application

Here, the radius is 3, the same as the semi-major axis in the x-direction (a=3). The ellipse axis in the y-direction appears to be about 1/3 that value, so b=1, and the equations of the circle and ellipse are ...

  [tex]x^2+y^2=9\qquad\text{circle}\\\\\dfrac{x^2}{9}+\dfrac{y^2}{1}=1\qquad\text{ellipse}[/tex]

AP TEST QUESTION 1
PLEASE HELP
ILL GIVE BRAINLIST ANSWER
IMAGE ABOVE

Answers

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

What is graphs?

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

[tex]lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5[/tex]

from the graphs n f (x) and g( x) are 1 and 5 .

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What is the area of the shaded region?

Answers

Answer:

[tex] 21.5 \: {cm}^{2} [/tex]

Step-by-step explanation:

Area of the shaded region =Area of square with side 10 cm - Area of circle with radius 5 cm

[tex] = {10}^{2} - 3.14 {(5)}^{2} \\ = 100 - 3.14 \times 25 \\ = 100 - 78.5 \\ = 21.5 \: {cm}^{2} [/tex]

21.5 is the answer I got

Tell whether the angles are complementary or supplementary. Then find the value of x.

Answers

The angles add up to 180° so the angles are supplementary.

The value of x is 31.

What are corresponding angles?

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

From the figure,

Two angles:

3x + 25  and 2x

These two angles form a straight angle.

Now,

3x + 25 + 2x = 180

5x = 180 - 25

5x = 155

x = 31

When the sum of two angles is 90°, then the angles are known as complementary angles.

When the sum of two angles is 180°, then the angles are known as supplementary angles.

Now,

3x + 25

= 3 x 31 + 25

= 93 + 25

= 118

2x

=2 x 31

= 62

Now,

118 + 62 = 180

Thus,

The angles are supplementary.

The value of x is 31.

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Question 4 of 10 A construction worker needs to put a rectangular window in the side of a building. He knows from measuring that the top and bottom of the window have a width of 5 feet and the sides have a length of 12 feet. He also measured one diagonal to be 13 feat. What is the length of the other diagonal? A. 12 feet B. 17 feet C5 feet D. 13 feet​

Answers

Answer:

D. 13 feet ❞

Step-by-step explanation:

Here,

Window is in the rectangular shape.Measure of its one diagonal is 13 feet.

According to the properties of rectangle,

Diagonals of a rectangle are equal.

So, here the length of other diagonal will be 13 feet too.

D. 13 Feet

Step-by-step explanation:

Does anyone know?!!!!!

Answers

Answer:

units

Step-by-step explanation:

Answer:

Just units

Step-by-step explanation:

The circumference is neither squared nor cubed, and it has to be labeled.

help ME PLEASE ASAP DUE NOW

Answers

Step-by-step explanation:

{x : x < 100}

means all numbers smaller than 100. but that includes all negative numbers. so, NO.

{y|y > -0.1}

while this includes all positive numbers, it also includes all numbers between -0.1 and 0. e.g. -0.001

so, NO

{x|x in N}

N is the set of all natural numbers. that is the set of all positive integers.

so, YES

{y : 0 < y < 1}

that is all numbers between 0 and 1. that's are only positive numbers between 0 and 1.

so, YES

{x|x in Z}

Z is the set of all integer numbers (including the negative ones). so, NO

{y : 3 <= y < 22}

ask numbers between 3 and 22, including 3. there are only positive numbers, as there cannot be suddenly a negative number between 2 positive numbers.

so, YES.

What is the coefficient of the second term in this expression?
6b+7b2+3+10c
please help thanks :D

Answers

Answer:

7

Step-by-step explanation:

A coefficient is the front number. A term is separated by the operators such as +, -, etc.

what number comes 4 number before 6

Answers

Answer:

ummmmmmmmmmmmmmmmmmmm i forgot srry sugar

Step-by-step explanation:

Answer:

1 comes 4 numbers before 6

Step-by-step explanation:

1,2,3,4,5,6

/ / / /

Find the equation of the line with slope m=1/5 that contains the point (-10,-15)

Answers

Answer:

the equation with the slope m=1/5 that passes through point (-10,-15) is: y = -1/5x+15

Cluseposited $3,500 into a savings account 2 years ago. The simple interest rate is 4% how much
money did Liu earn in interest? What would the account earn in 10 years
The account and In interest


Pls help!!!

Answers

Answer:

Simple! She earned $280

Step-by-step explanation:

3500 x 2 x 4 = 28000/100 = 280

In 10yrs operating on the same frequency of rate, she's gonna earn;

3500 x 10 x 4 = 140000/100 = $1,400.

Therefore, $1400 dollars is what she's gonna earn in 10 years time.

Convert as I dictated

62.9 cg to dekagrams



Xxx
PLEASE HELP

DUE RN



WILL GIVE BRAINLIST

Answers

Answer:

0.0629 dg

Step-by-step explanation:

A centigram is a dekagram multiplied by 1000, so dividing 62.9 by 1,000 will get us 0.0629 dg.

0.0629 dekagrams is the answer

Help me solve solution to the system of equations.

Answers

Answer:

[tex](\frac{5}{3} ;\frac{4}{3} ).[/tex]

Step-by-step explanation:

[tex]\left \{ {{x+y=3} \atop {\frac{y+2}{2} =x}} \right. \ = > \ \left \{ {{x+y=3} \atop {y+2=2x}} \right. \ = > \ \left \{ {{x+y=3} \atop {2x-y=2}} \right. \ = > \ \left \{ {{x=\frac{5}{3} } \atop {y=\frac{4}{3} }} \right.[/tex]

Which decimal is closest in value to the fraction below?
NO
O A. 0.4
. B. 0.1111
O C. 0.222

Answers

Answer:

C.

Step-by-step explanation:

2/9 = 0.222....

Basically, the two's repeat forever - that's why C would be the correct answer

Hope that helps! :)

-Aphrodite

What is the solution to the system of equations?
{x+y=4
{x=y=1
O (3, 1)
O (2, 2)
O (1/2, 3/2)

Answers

Answer:

hat are the solution(s) to the system of equations shown below? x2 + y2 = 5 y = 2x. 1) x = 1 and x = −1. 2) x = 1. 3) (1,2)

Step-by-step explanation:

Therefore , the solution of the given problem of linear equation comes out to be (2,2).

A linear equation is defined.

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

=> y+ x = 3

=> y= 3-x

=> x= y = 1

=>3-x =1

=> x = 2

=> y = 2

(2,2)

Therefore , the solution of the given problem of linear equation comes out to be (2,2).

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The function f(x)= -3x^3 + x^2 +2x rises as x grows very small.
A. True
B. False

Answers

B. False

When x is very small (close to 0), the term -3x^3 is much smaller in magnitude than the term x^2. Therefore, the overall value of the function will be dominated by the x^2 term, which is positive. This means that the function will decrease as x becomes very small.


False, the function f(x)=[tex]-3x^3 + x^2 +2x[/tex] does not rises as x grows very small.

How to determine the statement

First, we need to know that functions are described as laws, expressions or rules that are used to show the relationship between two variables in an equation.

These variables are known as;

The independent variableThe dependent variable

The function f(x) =[tex]-3x^3 + x^2 + 2x[/tex]  does not rise as x grows very small. When x approaches negative infinity, the dominant term is [tex]-3x^3[/tex], which becomes increasingly negative.

Therefore, the function decreases as x grows very small in the negative direction.

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profits of calculess corporation this year were 140% of profits last year. if profits this year were $4900, what were profits last year.

Answers

The profits last year were $2041.66

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here, profits of calculess corporation this year were 140% of profits last year. if profits this year were $4900, then let the profit last year be x then we have 2.4x=4900

                            x=4900/2.4

                            x=2041.66

Hence, The profits last year were $2041.66

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-15 POINTS- only answer if you know, don’t guess.

A. Parallelogram
B. Trapezoid
C. Neither

Answers

Answer:

C, neither.

I've attached a picture of what it looks like when you plot it on a graph. As you can see, it is neither. So the answer is C

Hope this helped :)

It is C.Neither
Desmos graphing is good to use when graphing them like this

NEED HELP!!!!!!!!! ASAP!!!!!!!

Answers

Answer:

¹31.5

Step-by-step explanation:

Area of trapezium= 1/2 ×h×(b1+b2)

A=1/2×3×(12+21)

A=31.5

Question 5 (1 point)
The perimeter of a rectangular patio is 80 feet. The length is 4 feet greater than the
width. What is the width, in feet, of the patio?

Answers

Answer:

18 feet

Step-by-step explanation:

Perimeter=2(l+b)

80=2(w+w+4)

80=2(2w+4)

80=4w+8

80-8=4w

72/4=w

W=18 feet

answer : 18 feet


explanation :

If a house has decreased 35% since it was purchased and it currently values 117,000 what was purchase value

Answers

Step-by-step explanation:

that means the current value of $117,000 is 100 - 35 = 65% of the original price.

65% = $117,000

1% = 65%/65 = 117000/65 = $1,800

100% = 1%×100 = 1800×100 = $180,000

the original (100%) purchase value was $180,000.

William is going to invest $400 and leave it in an account for 8 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for William to end up with $460?

Answers

Answer:

1.75%

Step-by-step explanation:

Which inequality represents the phrase "a number b is at least -16"?

Answers

Answer:

[tex]b \leqslant - 16[/tex]

Only x = -3 is less than -2.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following statement -

"A number b is at least -16"

Given is the following statement -

"a number b is at least -16".

We can write the given inequality as -

b ≥ - 16

Therefore, we can write the given statement as -

b ≥ - 16

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Please help will mark Brainly

Answers

Answer:

x=4 and y=2

Step-by-step explanation:

You should use graph, point of intersection(for example point M(4,2) ) is solution

And we can conclude that x=4 and y=2

8
TIME REMAININ
41:44
Which points are either in Quadrant ll or Quadrant IV of the coordinate plane? Check all that apply
(7.-10)
(0,2)
(8,9
(90).

Answers

Answer:

A

Step-by-step explanation:

sheeeeesh

Answer:(7.-10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

what do we mean by 16 1/4

Answers

Evaluate?

What’s the full question?

Answer:

[tex] \sqrt[4]{16} [/tex]

help me pls i need it fastest for my math project !!!!!! please help

Answers

Part A

g(x) = 9.25x

g(8) = 9.25*8

g(8) = 74

He would make $74 before taxes if he worked 8 hours.

------------------------------------------------------

Part B

g(x) = 9.25x

g(14) = 9.25*14

g(14) = 129.50

He would make $129.50 before taxes if he worked 14 hours.

------------------------------------------------------

Part C

g(x) = 9.25x

g(27.5) = 9.25*27.5

g(27.5) = 254.375

g(27.5) = 254.38

He would make $254.38 before taxes if he worked 27.5 hours.

Answer:

Solution below.

Step-by-step explanation:

Solution

This question is basically asking you to substitute corresponding x values to find g(x).

Given the function from the question:

g(x) = 9.25x where x is the work hours and g(x) is the wages.

Given x = 8,

g(8) = 9.25 * 8 = $74.00

Given x = 14,

g(14) = 9.25 * 14 = $129.50

Given x = 27.5,

g(27.5) = 9.25 * 27.5 = $254.38 (rounded off to nearest cent)

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