Use elimination to solve the system of equations.
4y+3z=-6
y12=15
How can you eliminate the z-terms in this system?
4y+3z=-6
y-z=-5 +
Multiply by ? on both sides.
2
3
4
5

y ≤ 16 - x (option A)

let the total number of pieces Luke ate at a time = y

Let the total number of pieces James ate at a time = x

They have never eaten more than 16 pices of pizza

This is written as:

maximum 16 : ≤ 16

number of pieces Luke ate at a time + total number of pieces James ate at a time ≤ 16

y + x ≤ 16

rewritting to make y subject of formula:

y ≤ 16 - x (option A)

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

The expression that shows the change in the amount of money Belle's dad has is (x - 25) and this can be determined by forming the linear equation in one variable.

Given :

Belle's dad lends her $10. Then Belle borrows another $15 from him.

The following steps can be used to determine the expression that shows the change in the amount of money Belle's dad has:

Step 1 - Let the total amount of money Belle's dad have be 'x'.

Step 2 - Then it is given that Belle's dad lends her $10. So the expression becomes:

= x - 10b

Step 3 - Now, it is also given that Belle borrows another $15 from her dad. So, the above expression becomes:

= x - 10 - 15

Step 4 - Simplify the above expression.

= x - 25

So, the expression that shows the change in the amount of money Belle's dad has is (x - 25).

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The difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.

Given that a survey found that in a sample of 75 families, 26 owned dogs, while a survey done 15 years ago found that in a sample of 60 families, 26 owned dogs, to find the 95% confidence intervals of the true difference in the proportions, the following calculation must be performed:

Therefore, the difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.

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Answ

Step-by-step explanation:wirugf4

Option A. The only graph that could represent the function with the zeros of -2 and 4 is the graph is : A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10).

The zeros of a quadratic function are the x-values where the function equals zero (where it crosses the x-axis). In this case, you mentioned that the zeros of the function are -2 and 4.

Looking at the provided options:

A. This graph crosses the x-axis at (-2, 0) and (4, 0), which are indeed the zeros of the function. Therefore, this could be a possible representation of the function.

B. This graph crosses the x-axis at (-4, 0) and (2, 0). These are not the zeros given for the function (-2 and 4), so this graph is not a possible representation of the function.

C. This graph crosses the x-axis at (-4, 0), but it never crosses at x=4. Instead, it crosses at x=2. Therefore, this is not a possible representation of the function.

D. This graph crosses the x-axis at (2, 0), but does not cross the x-axis at x=-2. Therefore, this is not a possible representation of the function.

So, the only graph that could represent the function with the zeros of -2 and 4 is the graph provided in Option A.

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525 millimeters of compound A are needed.

What is a mixture?

Combining two or more substances and identifying a property of the ingredients or the resulting combination is the focus of mixture problems. For instance, we could need to figure out how much water to add to a saline solution to make it more diluted, or we might need to know how much of an orange juice bottle is concentrated.

Here, we have

Given: A certain drug is made from only two ingredients: compound A and compound B. There are 7 millimeters of compound A used for every 5 millimeters of compound B. If a chemist wants to make 900 millimeters of the drug.

Given the following ratio

A : B = 7 : 5

Mixture = 900 millimeters

To calculate the amount of compound A needed, we make use of the following formula:

A = A/(A+B)×mixture

A = 7/(7+5)×900

A = 525 millimeters.

Hence, 525 millimeters of compound A are needed.

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the correct option is a. difference between the groups' averages, large absolute

I am trying to perform an A/B test to see if two samples come from the same underlying distribution. My alternative hypothesis is that the samples do not come from the same underlying distribution. The difference between the groups should be chosen as the test statistic averages  large absolute values of this statistic provide evidence in favor of the alternative hypothesis.

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Answer: >

Step-by-step explanation:

Answer:

≤ ≠

Step-by-step explanation:

-3 is less than 0

The probability that:

First, check if it is appropriate to use the normal approximation to the binomial distribution. The rule of thumb is that this approximation is reasonable if both np and n(1-p) are greater than 5. In this case, p = 0.83 (probability of failure), n = 70 (number of trials).

So,

np = 700.83 = 58.1,

n(1-p) = 700.17 = 11.9.

Both quantities are larger than 5, so use the normal approximation.

Convert this to a problem involving a normal distribution. The mean of this distribution is np = 58.1 and the standard deviation is √(np(1-p)) = √(700.830.17) = 6.35.

(a) within 2 years 47 or more fall:

This corresponds to a Z-score of (47.5 - 58.1) / 6.35 = -1.67. The probability that a standard normal variable is greater than -1.67 is 0.9525.

So the probability that 47 or more products fail is approximately 0.9525.

(b) within 2 years 58 or fewer fail:

This corresponds to a Z-score of (58.5 - 58.1) / 6.35 = 0.063. The probability that a standard normal variable is less than 0.063 is 0.5250.

So the probability that 58 or fewer products fail is approximately 0.5250.

(c) within 2 years 15 or more succeed:

Since the probability of success is 1-p, this is equivalent to fewer than (70 - 15 = 55) failing. This corresponds to a Z-score of (54.5 - 58.1) / 6.35 = -0.567.

The probability that a standard normal variable is greater than -0.567 is 0.7151.

So the probability that 15 or more products succeed is approximately 0.7151.

(d) within 2 years fewer than 10 succeed:

This is equivalent to more than (70 - 10 = 60) failing. This corresponds to a Z-score of (60.5 - 58.1) / 6.35 = 0.377.

The probability that a standard normal variable is less than 0.377 is 0.6478.

However, since we want more than 60 failing, the probability that the variable is greater than 0.377, which is 1 - 0.6478 = 0.3522.

So the probability that fewer than 10 products succeed is approximately 0.3522.

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The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

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Answer: Every 12th bag has both a T-shirt and socks.

Step-by-step explanation:

Given: T shirt: Every fourth bag

Socks: Every third bag

Least common multiple of 4 and 3 = 12 as 4 and 3 are coprime (i.e. their highest common factor is 1) and 4 x 3 = 12

It implies every 12th bag has both a T-shirt and socks.

Hence,  Every twelfth bag has both a T-shirt and socks.

Answer:

The model represents the equation "0 + x² = 1/2", which is not directly related to multiplying with fractions.

Answer:

Subtract 3 from both sides

Step-by-step explanation:

When solving a linear equation, you need to get all the constants to one side and all the variable terms to the other side. In the equation 15=-3x+3, there is one constant on the left, and a variable term and a constant on the right. You have to move the constant, in this case 3, to the left side in order to solve. To do this, you perform the opposite operation, so in this case, you would subtract 3 from both sides. The 3 on the right will cancel out with the minus three, so you will have a zero on the right side, which can just be removed. You are left with 12=-3y.

The value of c in the domain of f(x) depends on the specific function f(x) and its domain.

In order to determine which value of c is in the domain of f(x), we need to know the function f(x) and its domain. A domain is the set of all possible input values of a function.

If a value of c is in the domain of f(x), then we can plug it into the function and get a valid output.

In general, a function f(x) can have a restricted domain due to certain conditions or limitations. For example, a square root function cannot have negative values under the radical because that would result in an imaginary number.

Thus, the domain of a square root function is restricted to non-negative values.

In order to find the domain of a function, we need to consider any restrictions on the input values. For example, if we have the function f(x) = 1/x, we cannot plug in x = 0 because that would result in division by zero, which is undefined.

Therefore, the domain of f(x) is all real numbers except 0. We can write this as D(f) = {x : x ≠ 0}.Once we know the domain of f(x), we can check which value of c is in the domain by seeing if it satisfies the condition.

For example, if the domain of f(x) is D(f) = {x : x > 2}, then c = 3 is in the domain because 3 is greater than 2. On the other hand, c = 1 is not in the domain because 1 is less than 2.

Therefore, the value of c in the domain of f(x) depends on the specific function f(x) and its domain.

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Answer:

0.057

Step-by-step explanation:

Given that:

Number of machines, \(n\) = 10

Probability, that an individual machine will break down, \(p\) = 0.1

Probability, that an individual machine will not break down, \(q=1-\)\(p\)

To find:

The probability that on a given day, three machines will break down = ?

Solution:

First of all, let us have a look at the probability formula:

\(P(x=r) = _{n}C_{r}p^rq^{n-r}\)

Here, r = 3

Putting the values:

\(P(x=3) = _{10}C_{3}p^3q^{10-3}\\\Rightarrow P(x=3) = _{10}C_{3}{0.1}^30.9^{7}\\\Rightarrow P(x=3) = 120\times{0.1}^30.9^{7}\\\Rightarrow P(x=3) = \bold{0.057}\)

Answer: : it is 4 over 8 and *

Step-by-step explanation:

The volume of the triangular prism will be 400 cubic feet.

Given that:

Width, W = 15 feet

Height, h = 8 feet

Base length, b = 6²/₃ feet

Volume is a measurement of three-dimensional space that is utilized. The concept of length is linked to the notion of capacity.

The volume of the triangular prism is calculated as,

V = 1/2 · b · h · W

V = 0.5 · 6²/₃ · 8 · 15

V = 400 cubic feet

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The value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

The given expression ♾️. n-1 Σ 1/4(-1/3) represents a summation of the term 1/4(-1/3) over a range of values from 1 to n-1, where n is an unknown value. We need to find the value of S4, which represents the sum of this expression when n is equal to 4.

To find the value of S4, we substitute n = 4 into the expression and evaluate it.

♾️. n-1 Σ 1/4(-1/3) = ♾️. 4-1 Σ 1/4(-1/3)

Simplifying, we get:

♾️. 3 Σ 1/4(-1/3)

Since the term 1/4(-1/3) is constant, we can pull it out of the summation:

1/4(-1/3) ♾️. 3

Now, ♾️. 3 represents the sum of 3 terms. Multiplying 1/4(-1/3) by 3 gives:

1/4(-1/3) * 3 = -1/4 * 1/3 * 3 = -1/12

Therefore, the value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

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The probable question could be:

What is the value of s4 for expression ♾️. n-1 Σ 1/4(-1/3) ?

A) 1/9

B) 7/54

C) 5/27

D) 10/27

Answer:

\(y = 3x - 5 \\ x = - y \\ substitute \: - y \: in \: the \: place \: of \: x \\ y = - 3y - 5 \\ y + 3y = 5 \\ 4y = 5 \\ y = \frac{5}{4} \)

By using probability, it can be calculated that-

Probability that the next chew Gianna removes from the bag will be cherry chew = 42.86%

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Here, number of times an experiment is performed = 49

A pineapple chew was selected 25 times.

A cherry chew was selected 21 times.

A lime chew was selected 3 times.

Probability that the next chew Gianna removes from the bag will be cherry chew = \(\frac{21}{49} = \frac{3}{7}\)

         = \(\frac{3}{7} \times 100\)

         = 42.86%

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Answer:

y= -5/4x + 1

Step-by-step explanation:

Slope-intercept form: y=mx+b

M is the slope

B is the y-intercept.

The slope is -5/4.

M = -5/4

y = -5/4 + b

We're looking for the y-intercept. Substitute point in.

(4,-4) x= 4 y= -4

-4 = -5/4(4) + b

-4 = -5+b

b= 1

y= -5/4x + 1

The required vertex of the parabola is at the point \($\left(\frac{41}{8},-33\right)\).

To find the vertex of a parabola with the equation in the form \($ax^2+bx+c$\), you can use the formula for the x-coordinate of the vertex:

\($x_{\text{vertex}} = \frac{-b}{2a}$\)

In the given equation \($4x^2-41x+72$\), we can identify that a=4, b=-41, and c=72. Plugging these values into the formula, we can calculate the x-coordinate of the vertex:

\($x_{\text{vertex}} = \frac{-(-41)}{2(4)}$\)

\($x_{\text{vertex}} = \frac{41}{8}$\)

Now, to find the y-coordinate of the vertex, we can substitute the value of \($x_{\text{vertex}}$\) into the original equation:

\($y_{\text{vertex}} = 4 \left(\frac{41}{8}\right)^2 - 41 \left(\frac{41}{8}\right) + 72$\)

\($y_{\text{vertex}} = \frac{1681}{16} - \frac{3362}{16} + 72$\)

\($y_{\text{vertex}} = -33\)

So, the vertex of the parabola is at the point \($\left(\frac{41}{8},-33\right)\).

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Answer:

The 99% confidence interval to estimate the mean breaking weight for this type cable is between 772.9 lb and 785.1 lb.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 46 - 1 = 45

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 45 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.99}{2} = 0.995\). So we have T = 2.69

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.69\frac{15.4}{\sqrt{46}} = 6.1\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 779 - 6.1 = 772.9 lb

The upper end of the interval is the sample mean added to M. So it is 779 + 6.1 = 785.1 lb

The 99% confidence interval to estimate the mean breaking weight for this type cable is between 772.9 lb and 785.1 lb.

Using the trigonometric functions in a right triangle,

The right triangle can be resketched to get the third unknown angle;

Considering angle 55 degrees as a reference,

side y is the adjacent and side 20 is the hypotenuse.

Thus, the trigonometric identity that combines adjacent and hypotenuse is cosine.

Therefore,

Thus, the first option is correct.

Answer:

x = 60

Step-by-step explanation:

All the three angles of the triangle are congruent. So it is an equilateral triangle. So each angle = 180 /3 = 60

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.