Which theorem, term, or corollary is represented by the picture?

95% confidence interval is (14.55, 15.85)

From the question, we have

Degrees of freedom = n - 1 = 7 - 1 = 6

For 6 degrees of freedom and 95% confidence interval:

Critical t value = 2.45

95% confidence interval is:

15.2 \pm 2.45*0.70/\sqrt{7}

15.2 \pm 0.65

(14.55, 15.85)

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Answer:

13

Step-by-step explanation:

[tex]\frac{91}{7}=\frac{70+21}{7}=10+3=13[/tex]

The solution of 91 divided by 7 in simplest form is,

⇒ 13

We have to given that,

To simplify 91 divided by 7 in simplest form.

It can be written as,

⇒ 91 ÷ (7)

⇒ 91 / 7

⇒ 13

Therefore, The solution of 91 divided by 7 in simplest form is,

⇒ 13

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0.67

1) Given that we've got the following data:

We can plug them all together into the Z score formula:

Thus, the Z-score is 0.67

t + b = 38

6t + 4b = 188 is the equation to calculate the system of the restaurant .

Restaurants must foster an atmosphere of delicious food, attractive surroundings, and courteous living. In order to maintain the restaurant's financial viability, it is crucial for the owners to choose the seating arrangement, chairs, and sofas with an eye toward projecting a certain image.

The most typical categories of seating arrangement queries. There are intricate row arrangements, double rows, rectangular rows, linear rows, and circular rows.

Theatre. The simplest and most popular seating arrangement for events is the theater style setup.

n distinct things permuted (when repetition is not allowed) Repetition when it is acceptable. When the objects are not distinct, permutation (Permutation of multi sets)

The following formula determines how many permutations of n objects, taken r at a time: (n,r)! P(n,r)=n!

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation.

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Answer:

Step-by-step explanation:

1) third graph -> the base is 3 so the graph increase

2) first graph -> if x = 0 ; y = -2

(1/3)^0 -3 = 1 - 3 = -2

3) second graph

Answer: It flashes 6 times per minute, so 360 times per hour.

Step-by-step explanation:

6*60

You can notice that travel time is afected by the traveled distance. That's because it is required more time to travel longer distances.

For instance, if Elena would live 6 miles to the school, she would take 30min to arrive to school. That is, for greater distances the travel time increases.

Answer: 771

Step-by-step explanation:

Reverse the equation for 96 x 8 + 3
96 x 8 = 768
768 + 3 = 771
You only add the 3 at the end since it was unable to be divided, you can't reverse and multiply it

Answer

-√214 is between -15 and -14.

Explanation

To solve this, we need to first obtain the value of the -√214

-√214 = -14.63

Hence, we can see that this number is between -15 and -14.

Hope this Helps!!!

Answer:

The Radiant Equivalent of 90 degrees, would be 1.57079633.

The functions have the same x-intercept and the same end behaviour as x approaches infinity.

We are given two functions, f(x) and g(x). A function connects an input with an output. It is analogous to a machine with an input and an output. And the outcome is somehow connected to the input.

The function f(x) is represented in the graph. The function g(x) is represented by the data in the table. We have to find the correct comparison between the two functions.

The comparison is to be done on the basis of the lengths of the x-intercept and y-intercept and the end behaviour of both functions. From the given values, we conclude that the x-intercepts for both functions are the same, but the y-intercepts are different. The end behaviour of both functions becomes similar as x approaches infinity.

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Answer

Option C is correct.

Sandra will be paid 72.30 dollars for babysitting for 12 hours.

Explanation

We are told that Sandra earned 60.25 dollars babysitting 10 hours.

If she babysits at the same rate, we are asked to calculate the amount she would earn if she babysits for 12 hours.

Let the amount Sandra is paid for babysitting for 12 hours be x dollars

10 hours = 60.25 dollars

12 hours = x dollars

We can write a mathematical relationship by cross multiplying

10 × x = 12 × 60.25

10x = 723

Divide both sides by 10

(10x/10) = (723/10)

x = 72.3 dollars

Hope this Helps!!!

When two lines are parallel they mean that both slopes are the same, this means that if the green line has a slope of -1/2, the slope of the red line is also -1/2.

Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

The function we have is:

We are given the domain of the function:

The domain of a function is the allowed values for x.

And we are asked to find the range, which is the values that the function returns for the x-values of the domain.

To find the range, we need to take the values of the domain, substitute them into the equation, and find the values that the function returns.

For the given domain, the allowed values for x are:

For x=-4

We substitute this value into the function:

And solve to find the first value of the range:

For x=-1

Substitute this value into the function:

Solve the operations:

For x=2

Substitute this value into the function:

And again, solve the operations:

For x=5

Substitute this value into the function:

Solve the operations:

The values we have found for y are the range of the function:

Answer:

The range of the function is (-7,2,11,20)

The correct model the equation 5x+6= 4x+(-3) is 5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side.

What is the model equation?

The model equation is a representation of an equation using tiles.

Given equation is 5x+6= 4x+(-3).

1 is represented by a positive tile.

-1 is represented by a negative tile.

We can rewrite the given equation as:

5×(x)+6× (1)= 4×(x)+(3×(-1))

The model of 5×(x)+6× (1) is 5 positive x-tiles and 6 positive unit tiles.

The model of 4×(x)+(3×(-1)) is 4 positive x-tiles and 3 negative unit tiles.

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The final image of the given points after the given translation and dilation of D4,  T3,5 is  (27, -23).

For the given image point of (6, -7) .

First there is a dilation of 4.

Thus,

Image = (6×4 , -7×4)

Image = (24, -28)

Now, there is translation of 3 units right on x axis and 5 unit upward on y axis; T3,5.

Image = (24 + 3, -28 + 5)

Image = (27, -23)

Thus, the final image of the given points after the given translation and dilation is  (27, -23).

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Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

We have the following:

The given expression is:

Answer: $1.01

Step-by-step explanation: You just divide by 6

The solution of the inequality negative 3 e greater than 21 is e less than negative 7.

Inequality:

If the two real numbers or algebraic expressions are related using the symbols >, <, ≥, ≤, then the expression is called an inequality.

Given,

Here we have the statement for the inequality.

"negative 3 e greater than 21".

Now, we have o solve it and then we have to find the value of e.

The given statement is rewritten as the following expression form,

That is,

-3e > 21

Here we need the value of e, so we have to divide both sides by 3, then we get,

=> -e > 7

To remove the negative sign, we have to reverse the inequality, then we get the value of e as

=> e < -7

Therefore, in statement it can be written as "e less than negative 7".

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The equation of the line which is parallel to the given line is 3y - x = -12.

given that

x = 18 and y = 2

putting the value in equation 3y-x = -12

this saisfied he equation perfectly.

Hence, the equation in parallel to 3y-x = -12

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There are 348 seventh-grader students in total.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

One-fourth of the students made the honor roll in the first quarter, and it grew by 18 in the second quarter, so add 18, and the total number of students who made the honor roll in the second quarter is 105.

Let the seventh-grade students would be x

As per the given condition, we can write the equation as:

⇒ 1/4 x + 18 = 105

Subtract 18 on both sides of the above equation,

⇒ 1/4 x = 87

Multiply by 4 both sides of the above equation,

⇒ x = 348

Therefore, there are 348 seventh-grader students in total.

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Every 4 minutes, the depth of the water increases 12 inches. Like let's say after another 4 minutes it'll be 24 inches. I may be wrong but I may be right.

Answer:

See below

Step-by-step explanation:

Every minute 'x' produces   12/4 = 3 inches of 'y' water depth

y = 3 x

When we have a radical, we can simplify it by the rule:

So, we have to break down 500 into simpler radicals until we have a radical that can't be broken down. Let's simplify Root(500).

Now, we can break down Root(50) further.

Now, let's break down Root(10) also, thus we have:

We can see:

• Root(25) is 5

• Also Root(2)*Root(2) is 2 by using the rule:

Thus, we finally have:

The question requires us to calculate the surface area of the rectangular prism.

The formula to calculate the surface area is given to be:

where l is the length, w is the width, and h is the height.

From the question, the following dimensions are provided:

Therefore, we can calculate the surface area to be:

OPTION C is correct.

Answer:

C) 4(x – 3) – x

Step-by-step explanation:

The solution of the equation x² - 10x + 24 = 0 is x = 4 or x = 6. Option C is correct.

We are given a quadratic equation:

x² - 10x + 24 = 0

Let us split the middle term, we will get;

x² - 6x - 4x + 24 = 0

x (x - 6) - 4 (x - 6) = 0

(x - 4) (x - 6) = 0

equate each with zero, we will get;

x - 4 = 0 or x - 6 = 0

x = 4 or x = 6

So, the value of x is 4 or 6.

So, option C full fills the required criteria.

Thus, the solution of the equation x² - 10x + 24 = 0 is x = 4 or x = 6. Option C is correct.

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