A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of 12 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 58 bolts. The sample mean bolt length was 12.07 centimeters. The population standard deviation is known to be o=0.25 centimeters. what is the test statistic z? what is the p-value?

The given statement in the form of inequality is given as -

(x ÷ 4) ≥ 26.

inequality : An inequality is used to make unequal comparisons between two expressions or numbers.

expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

equation : A mathematical equation is used to equate two expressions.

Given is the statement as -

"quotient of x and 4 is at least 26"

We can write the inequality as -

(x ÷ 4) ≥ 26

Therefore, the given statement in the form of inequality is given as -

(x ÷ 4) ≥ 26.

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The answer of given parabola question is 6.125ft.

a curve produced by the intersection of a cone's surface with a plane perpendicular to a straight line; a curve produced by a moving point whose distance from a fixed point is equal to its distance from a fixed line.

x² = 4py

x=radius which can be found by dividing d=14ft by half

x = d/2 = 11/2 = 7ft

y=2ft is the depth

p is the vertex of the parabola

p = x²/4y

p = 7²/4×2

p=6.125ft

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Answer:

15

Step-by-step explanation:

Opposite angles in a parallelogram are equal. (this is a parallelogram because it has 2 pairs of parallel sides.)

So

3x+2=47

3x=45

x=45/3

x= 15

Check the picture below.

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

Answer:

47 and 53

Step-by-step explanation:

list of prime numbers to 100:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

50 is between 47 and 53

ax + by = 6000 and a + 5 = b are two equations that might be used to calculate how many soup cans and frozen dinners were purchased.

There are several methods to define a formula. A mathematical statement that establishes the equivalence of two mathematical expressions is the definition of an equation in algebra. This is best shown by the formula 3x + 5 = 14. In this instance, the word equal comes between the phrases 3x + 5 and 14. Even the most basic algebraic equations include the usage of mathematical variables.

X now has 300 mg of sodium in it.

[tex]x = 300[/tex]

Y also has 450 mg of sodium in it.

[tex]y = 450[/tex]

Samuel reportedly buys five more frozen dinners than soup cans, and they all have a combined salt content of 6000 mg.

Let the number of frozen dinners be "b," and the number of soup cans be "a."

ax + by = 6000

a(300) + b(450) = 6000 .

Samuel bought 5 more frozen dinners than soup cans, according to the inquiry, which results in equation

[tex]a + 5 = b \\a(300) + (a + 5)(450) = 6000\\300a + 450a = 6000 - 2250\\ 750a = 3750\\ a = 3750/750\\ a = 5\\5 + 5 = b\\ b = 10[/tex]

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Answer:

9.583 hours

Step-by-step explanation:

multiply both of them and divide by 60 youll get. how long it will take for u to complete an anime

The graph of the equation x + 2 would be a straight line that starts at the point (-2, 0) and goes up 2 units on the y-axis. So, the line would pass through the point (0,2) and would be parallel to the x-axis.

The graph of the equation 3x when x is 2 would be a straight line that starts at the point (0,0) and goes up 6 units on the y-axis for each 1 unit on the x-axis. So, the line would pass through the point (2,6) and would have a slope of 3.

In mathematics, a diagram is a visual representation of mathematical concepts or ideas. Diagrams can take many forms, such as graphs, charts, illustrations, and figures, and can be used to help explain or understand mathematical concepts.

For example, a graph is a type of diagram that is used to represent the relationship between two variables. It is commonly used in algebra and calculus to show the relationship between an independent variable (x-axis) and a dependent variable (y-axis).

A chart is a type of diagram that is used to organize and present data. It is commonly used in statistics to show the distribution of data or to compare different sets of data.

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Answer:

this should help you out

Answer: B strange and harrowing story.

Step-by-step explanation: Based on the description of the stranger's face in the novel, it is likely that the captain would expect the stranger to tell a strange and harrowing story. The stranger's face is described as "wild" and "ghastly," which suggests that the story he is about to tell may be disturbing or unsettling in some way. The captain may also expect the story to be emotionally intense, given the stranger's appearance and demeanor.

Hello there!

Answer:

Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]

Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]

Step-by-step explanation:

We should know 2 important formulas:

Circumference: [tex]l = 2\pi r[/tex]

Area: [tex]S = \pi r^{2}[/tex]

So we need to find the value of r (radius) which equal to a half of diameter:

[tex]r = d/2[/tex]

[tex]r = 1.8/2 = 0.9(m)[/tex]

Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]

Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]

Of course, a businesswoman who is extremely wealthy. Martha has a lot of money thanks to her writing numerous best-selling books, publishing a magazine (shoutout to all the kids from the 1990s whose moms read Martha Stewart Living), appearing on various TV shows, and having her own brand of goods, which includes a CBD line.

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Answer:

32 is 32% of 100

Step-by-step explanation:

Answer: 100

Step-by-step explanation: 32 is 32% of 100

The elements in matrix X is attached below

Matrix is a mathematical construct consisting of an array of numbers, symbols, or expressions, arranged in rows and columns. It is most often used to represent linear relationships between two or more variables. Matrices are commonly used in science and engineering to represent systems of equations and in computer programming for representing data and performing operations on it.

In this problem, we can easily find x by reversing the variables and solve.

A - X = B

X = A - B

The elements in the matrix can be solved easily using an online calculator.

The value of x is attached below

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The Correct answer while simplifying the given algebraic expression is: 4a²+1/2a+7

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

Method to simplify any algebraic Expressions are :

Given:

=3a²+1/4a+3+a²+4+1/4a

=(3a²+a²)+(1/4a+1/4a)+(3+4)

=4a²+1/2a+7

So the Answer is

=4a²+1/2a+7

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On solving the provided question, we can say that - the value of x and y by the linear equation will be x = 12 and y = -21

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here, we have

3x-2y = 3

-4x + 5y = -11

and on solving we got

x = 12 and y = -21

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Answer:

37.04%

Step-by-step explanation:

To find the percentage increase in the value of Tessa's stock, we need to calculate the difference between the original price and the current price, and then divide that difference by the original price, and multiply by 100 to express the result as a percentage.

Here is the calculation:

percentage increase = ((284.96 - 208.00) / 208.00) * 100

= (76.96 / 208.00) * 100

= 37.04 * 100

= 37.04%

So Tessa's stock has increased in value by 37.04%.

Answer:

37 % increase

Step-by-step explanation:

To find the percentage increase, take the new amount and subtract the original amount

284.96 -208 =76.96

Divide this by the original amount

76.96/208=.37

Change the decimal form to a percent

.37 * 100% = 37 %

Answer:

3.2 mph

Step-by-step explanation:

If it takes her 3 hours to walk 9.6 miles, we need to divide 9.6 by 3.

To do so, we can remove the decimal point in 9.6, to give us 96.

Then, we can divide 96 by 3 to get 32.

Add the decimal back to 32.

Doing so would give us 3.2, and our answer.

We can check this answer by multiplying 3.2 by 3, which gives us 9.6, telling us our answer is correct.

The experimental probability of spinning a white or yellow is 7/20

From the question, we have the following parameters that can be used in our computation:

Outcomes of experiments

The outcomes of experiments are given as

yellow / 5

blue / 12

green / 8

white / 9

red / 6

The experimental probability of spinning a white or yellow can be calculated using the following equation

P(White or Yellow) =P(White) + P(Yellow)

Substitute the known values in the above equation, so, we have the following representation

P(White or Yellow) = (9 + 5)/5 + 12 + 8 + 9 + 6)

Evaluate the sum

P(White or Yellow) = 14/40

Simplify

P(White or Yellow) = 7/20

Hence, the probability is 7/20

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The number that goes beneath the radical is 7

The Pythagoras theorem is used to find side or angle of a right angled triangle.

If you are dealing with any right triangle with  given sides, using the Pythagorean Theorem, as shown below, makes things relatively simple.

Note that the Pythagorean Theorem: is  a²+b²=c²

a  and b are both the smaller sides of the triangle, while c is the hypotenuse (the longest side of the triangle).

This impies in this case, that  we have 4 equivalent right triangles with given sides  and  for the hypotenuse, so let's see what we need to solve for by writing down what we know in a form following the Pythagorean Theorem.

The Pythagoras Equation is a²+b²=c²

Where  a=3, b =? c=4

Isolate the unknown value without plugging in our known values yet. This step is unnecessary, but can help if you have trouble with making mistakes with your algebra.

a²+b²=c²

⇒b²=c²-a²

a=√(c²-a²)

Plug in our given values and solve for .

a=√(4²-3²)

a=√(16-9)

a=√7

Conclusively, the radical number that goes beneath 7

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Complete question :

The complete question is found on the attachment

The width of the two gardens will be equal to 5 feet.

A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that a rectangular garden has a length twice as great as it’s width. a second rectangular garden has the same width as the first garden and a length that is 4 meters greater than the length of the first garden. the second garden has an area of 70 square meters.

For the first rectangle, the  dimensions will be,

L = 2w

For second rectangle width is same then the area is,

L x w = 70

( 2w +4 ) x w = 70

2w² + 4w - 70 = 0

w² + 2w -35 = 0

w² + 7w - 5w -35 = 0

w(w + 7 ) -5(w+7) = 0

w =-7 and  w = 5

Hence, the width is w = 5 ft.

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Answer: 13/15

Step-by-step explanation: Hope this helps, please mark brainliest and give thanks!

2/3+1/5

15÷3*2+15÷5*1

10+3/15

13/15

Answer:

Step-by-step explanation:

Therefore , the solution to the given problem of arithmetic mean comes out to be 1. 105, 2. 234 and 3. 42.5

The combination of the amount of all of the values in a list and the number of items in the that list, split by both, is the arithmetic average or mean of the group. The mathematical progression is same to this. This mean of the digits 5, 7, and 9 is 4,

For example, as expression 5 + 7 + 9 is 21, and 21 divided by 3 [there are actually three numbers] equals 7.

Given:

1) There are six terms in AP, with terms a and d each being worth five points.

2) There are 6 terms in AP, with terms 9 and 12 respectively.

3) In AP, there are five terms, where an is 5.7 and d is 1.4.

4) In AP, = 20, t21 = 400

5) In AP, t100 = 99 and a = 0

Find the sum of the terms in the arithmetic series.

As is common knowledge, Sn in the AP equals n/2[2a+(n-1)d]

To determine: the total terms in the arithmetic series

The AP sum of n words is well known. Sn = (n-1)/2[2a+(n-1)d]

1) There are 6 terms in the case where a = 5 and d = 5, as shown by S6 = [2(5)+(61)5] = 3[10+5(5)] = 3[10 + 25] = 3(35) = 105

2) There are 6 terms in the case where a = 9 and d = 12, where S6 = [2(9)+(61)12] = 3[18+5(12)] = 3[18+60] = 3(78) = 234

3) There are 5 terms total, with terms a = 5.7 and d = 1.4.

S5= [2(5.7)+(5—1)1.4] = 2.5[11.4+4(1.4)] = 2.5[11.4+5.6] = 2.5(17) = 42.5

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Step-by-step explanation:

minimum.

since the term with x² has a positive factor, this will grow exponentially in the positive direction compared to the other terms, so y (the functional value) will grow and grow with growing distance of x to the vertex.

and that makes the vertex the minimum of the parabola (which opens upwards).

if the factor would be negative (like -x² - 2x + 10), the vertex would be a maximum, and the parabola would open downwards.

The Kilograms of type B that are in one bag of the Latoya's Coffee shop blend would be = 3kg

A mixture is defined as the combination of two or more components which can or cannot be separated by ordinary methods.

The coffee blend of LaToya shop = Type A and B

A bag of the coffee blend = 6kg of Type A.

4 bags of coffee blend = 36kg

Therefore 4 bags of coffee blend contains = 6 see×4 = 24 kg of Type A

Type B in each bag = 36 - 24 = 12/4 = 3kg.

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Answer:

  Coupon A is better by $2.80.

Step-by-step explanation:

You want to know how much better the best price is between coupon A's $55 rebate on $87 worth of pants, or coupon B's 60% off.

The price reduction offered by coupon B is ...

  0.60 × $87 = $52.20

Clearly, the $55 reduction offered by coupon A is a greater reduction than the $52.20 reduction offered by coupon B. The difference in value is ...

  $55.00 -52.20 = $2.80

Coupon A gives the lower price by $2.80.

When a box contains 2 pens, 2 pencils, and 1 highliter, there is a 50% chance that the second item is a pencil.

Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a comprehensive set of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.

given

according to the question , the probability is a

2 / 1+2+1 * 100 %

2/4 *100%

= 50 %

after picking out a pen , the remaining are 1 pen , 2 pencils and 1 highlighter . in total of 4 items , 2 items are pencil .

When a box contains 2 pens, 2 pencils, and 1 highliter, there is a 50% chance that the second item is a pencil.

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