Solve the system by substitution.
y = 5,7x + 14.34
y = - 2x - 2.6

Answer:

Predicted Rotten Tomatoes Score = 29.476 + 1.201 * Metascore

Step-by-step explanation:

The image is needed to solve it, I found an image that I think would be the one that adapts to the exercise, which I will attach.

The answer is:

Predicted Rotten Tomatoes Score = 29,476 + 1,201 * Metascore

Because if we follow the red line, we can see that it impacts with the axis of the and a little lower than 30, that is to say that when Metascore is 0, the value must be close to 30 and in this case the only value close to 30 inside the answer is 29,476, so this is the answer.

Answer:

17-Not linear-  find degree of equation

18-Linear-  find degree of equation (linear)

19-Linear    find degree of equation

20 -Not linear  find degree of equation

21-Linear   find degree of equation

22-Linear     find degree of equation

23 Linear    find degree of equation

Step-by-step explanation:

Answer:

17. nonlinear- not a straight line when graphed

18. linear- (y=-3x+7) straight line

19.linear(y=-x+2)

20.nonlinear(y=-4x^2+32x)

21.linear

22.linear(y=3x)

23. linear(y=-9x+26)

Step-by-step explanation:

Answer:

9%

Step-by-step explanation:

Calculation for What percentage is her salary

Using this formula

Dianes salary percentage=Car payments per year/Salary per year

Let plug in the formula

Dianes salary percentage=$2,880 per year/$32,000 per year

Dianes salary percentage=0.09*100

Dianes salary percentage=9%

Therefore the percentage of her salary is 9%

Answer:

514.2857142857

Step-by-step explanation:

14cm=0.14m

so,

no. of planks=72/0.14=514.2857142857

Answer:

1900

Step-by-step explanation:

26,000,000,000 cells = 2.6 x 10^10 (baby cells)

An adult has about 4.94 times 10 to the thirteenth power

(4.94 x 10^13)/(2.6 x 10^10) = 1.9 x 10^3 = 1900

None of the options Oy = -x - 2, Oy = x + 6, Oy = x + 11, or Oy = -x - 7 represent the line that contains the points (-6, 2) and (9, -8).

To determine which equation represents the line passing through the points (-6, 2) and (9, -8), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

First, let's find the slope (m) using the given points:

m = (y2 - y1) / (x2 - x1)

= (-8 - 2) / (9 - (-6))

= -10 / 15

= -2/3

Now, let's use one of the given equations and check if it satisfies the slope and the points (-6, 2) and (9, -8).

Oy = -x - 2:

If we substitute (-6, 2) into this equation, we get:

2 = -(-6) - 2

2 = 6 - 2

2 = 4 (which is not true)

So, Oy = -x - 2 does not represent the line passing through the given points.

Oy = x + 6:

If we substitute (-6, 2) into this equation, we get:

2 = -6 + 6

2 = 0 (which is not true)

So, Oy = x + 6 does not represent the line passing through the given points.

Oy = x + 11:

If we substitute (-6, 2) into this equation, we get:

2 = -6 + 11

2 = 5 (which is not true)

So, Oy = x + 11 does not represent the line passing through the given points.

Oy = -x - 7:

If we substitute (-6, 2) into this equation, we get:

2 = -(-6) - 7

2 = 6 - 7

2 = -1 (which is not true)

So, Oy = -x - 7 does not represent the line passing through the given points.

None of the given equations satisfy the points (-6, 2) and (9, -8). Therefore, none of the options Oy = -x - 2, Oy = x + 6, Oy = x + 11, or Oy = -x - 7 represent the line that contains the points (-6, 2) and (9, -8).

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The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.

In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.

In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.

Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.

Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.

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ΔTQR ≅ ΔSRQ has been proven using the ASA congruence criterion.

To prove ΔTQR ≅ ΔSRQ, we can use the ASA (Angle-Side-Angle) congruence criterion. Here's the flow proof:

Statement | Reason

ΔTPQ ≅ SPR | Given

∠TQR ≅ ∠SRQ | Given

TP ≅ SP | Corresponding parts of congruent triangles are congruent (CPCTC)

∠TPQ ≅ ∠SPR | Corresponding parts of congruent triangles are congruent (CPCTC)

∠TQR ≅ ∠SRQ | Given

∠TQP ≅ ∠SRP | Vertical angles are congruent

ΔTQR ≅ ΔSRQ | ASA congruence (Angle-Side-Angle) using statements 3, 4, and 6

Therefore, ΔTQR ≅ ΔSRQ has been proven using the ASA congruence criterion.

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Answer

hope this helps

x > 6

Hi there !

1/2 x + ²⁾3 < ²⁾2x - ²⁾6

x + 6 < 4x - 12

6 + 12 < 4x - x

18 < 3x

3x > 18

x > 18/3

x > 6

Good luck !

From the regression output is for predicting annual murders per million from percentage living in poverty in a random sample of 20 metropolitan areas,

a) the linear model: Annual murders = -29.901 + 2.559( percentage living in poverty )

b) the expected murder rate in metropolitan areas with no poverty is -29.901 million.

c) for each percentage increase in poverty, we expect murders per million to be higher on average by 2.559

d) for each percentage increase in poverty, we expect murders per million to be higher on average by 2.559

e) the correlation coefficient = 0.8398

In this question we have been given the regression output is for predicting annual murders per million from percentage living in poverty in a random sample of 20 metropolitan areas.

Consider the following image.

Let x represents the percentage living in poverty and y be the  annual murders per million of 20 metropolitan areas.

From given regression output the linear model would be,

y = -29.901 + 2.559x

To find the y-intercept substitute x = 0

So, y = -29.901

This means, the expected murder rate in metropolitan areas with no poverty is -29.901 million.

In this case there is no meaningful value.

Also, the slope of the regression line is m = 2.559

This means, for each percentage increase in poverty, we expect murders per million to be higher on average by 2.559

For this model, the coefficient of determination R^2 is  70.52%

i.e., Poverty level explain 70.52% of the variability in murder rates in metropolitan areas.

We need to find  the correlation coefficient.

R = √0.7052

R = 0.8398

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Answer:

?

Step-by-step explanation:

The theorem that allows assuming that ∠PRS and ∠PRQ are equal is the Vertical Angles Theorem. The Option C.

The Vertical Angles Theorem states that when two lines intersect, the pairs of opposite angles formed are congruent. In other words, if we have two intersecting lines, the angles opposite each other are equal.

In the case of ∠PRS and ∠PRQ, they are formed by the intersection of lines PR and QS. Since these angles are opposite each other, the Vertical Angles Theorem allows us to conclude that they are congruent or equal.

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no, 5 is in the thousandths place

Answer:

Step-by-step explanation:

No there is only .3 hundreds

Answer:

Katie,

Once the skydiver reaches terminal velocity, then he will be falling with constant speed. The distance he falls in time t will then be d = (160 ft/s)·t. And his altitude above the ground (height h) will be his altitude when the parachute opened minus the distance he has fallen so we can write:

h = (3200 ft) - (160 ft/s)·t

As a point of interest, the time it will take him to fall all the way to the ground is t = (3200 ft)/(160 ft/s) = 20 s

Answer:

h(t) = -16t^2 + 200

Step-by-step explanation:

Complete Question

Recall that the trash bag manufacturer has concluded that its new 30-gallon bag will be the strongest such bag on the market if its mean breaking strength is at least 50 pounds. In order to provide statistical evidence that the mean breaking strength of the new bag is at least 50 pounds, the manufacturer randomly selects a sample of n bags and calculates the mean _ x of the breaking strengths of these bags. If the sample mean so obtained is at least 50 pounds, this provides some evidence that the mean breaking strength of all new bags is at least 50 pounds. Suppose that (unknown to the manufacturer) the breaking strengths of the new 30-gallon bag are normally distributed with a mean of m 5 50.6 pounds and a standard deviation of s 5 1.62 pounds. a Find an interval containing 95.44 percent of all possible sample means if the sample size employed is n=4

Answer:

\(X=(48.98,52.22)\)

Step-by-step explanation:

From the question we are told that:

Sample Mean \(\mu=50.6\)

\(\sigma =1.62\)

Sample size \(n=4\)

Level of significance \(\alpha 100-95.4=>4.56\)

Therefore

\(Z-value( \alpha/2)=2\)

Generally the equation for Interval is mathematically given by

\(X=\mu \pm z(alpha/2)* \frac{sd}{sqrt(n)}\)

\(X= 50.6 \pm z(0.0456/2)* \frac{1.62}{sqrt(4)}\)

\(X=50.6 \pm 2*\frac{1.62}{2}\)

\(X=(48.98,52.22)\)

Answer:

7295

Step-by-step explanation:

The first thing we can do is rule out any numbers that cannot be divided by 5. Any number that ends in a 0 or a 5 can, so 627 cannot be. The next thing we do is use the division rule for dividing by 3. The rule states that if you add up the digits of a number, and it is divisible by 3, then so is that number.

2+8+5= 15 (multiple of 3)

5+4+9+0=18 (multiple of 3)

7+2+9+5=23 (not a multiple of 3)

4+3+6+9+5=27 (multiple of 3)

Hope you have a great day!

Answer:

(x - 4)² = 24y

Step-by-step explanation:

In a parabola with focus at (x, y) and directrix at y = k - p, we can write;

Focus: (h, (k + p))

Directrix: y = k - p

We are given focus at (4, 6)

Thus;

h = 4 &

k + p = 6 - - - (1)

Also, directrix at y = -6

Thus;

k - p = -6 - - - (2)

Adding eq(1) and eq(2) together gives us;

2k = 0

k = 0

Thus, p = 6

The equation takes the formula;

(x - h)² = 4p(y - k)

Plugging in the relevant values;

(x - 4)² = 4(6)(y - 0)

(x - 4)² = 24y

Answer:

(x-4)^2=24y

Step-by-step explanation:

I took the test and got it right.

A value at the center or middle of a data set is a measure of center. It  is a statistical value that represents the central or average value of a dataset.

In statistics, a measure of center refers to a value that represents the central tendency or average of a data set. It provides a single value that summarizes the central or typical value of the data. The measure of center is used to understand the central position or location of the data points.

Common measures of center include the mean, median, and mode. The mean is calculated by summing all the values in the data set and dividing by the total number of values. The median is the middle value of a sorted data set, or the average of the two middle values if there is an even number of values. The mode represents the value that occurs most frequently in the data set.

These measures of center help in understanding the central tendency of the data and provide a representative value around which the data points are distributed. They are useful for summarizing and analyzing data sets, allowing for comparisons and making inferences about the data.

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Answer:

x= 0

Step-by-step explanation:

Step 1- Add 9 to both sides.

-9= 4.5x-9

+9         +9

Step 2- Divide both sides by 4.5.

0 = 4.5x

4.5   4.5

x=0

Answer: its 3 the answer is 3

Step-by-step explanation:

Answer:

Quick answer, C. 7 units!

The rate of constant for the above-given first-order reaction is b.) 8.77 × 10–3 h–1.

The half-life of a first-order reaction can be calculated using the equation t1/2 = ln(2)/k, where t1/2 is the half-life and k is the rate constant.

In this case, we know that the reaction goes to half completion in 79 hours. Therefore, the half-life is also 79 hours.

Plugging this into the equation, we get:

79 = ln(2)/k

Solving for k, we get:

k = ln(2)/79

Using a calculator, we can evaluate this expression to get:

k = 8.77 × 10–3 h–1

Therefore, the correct answer is b) 8.77 × 10–3 h–1.

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The answers to each part is mentioned above.

Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.

Equation for tank {1} -

y = 175 - 25x

Equation for tank {2} -

y = 200 - 30x

For the solution we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5

and

y = 200 - 150

y = 50

For the same amount of water we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5 hours

In tank (1), there is : 175 - 25 x 5 = 50 gallons

In tank (2), there is : 200 - 30 x 5 = 50 gallons

Therefore, the answers to each part is mentioned above.

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The answer is cos 60° × cos 30° + sin 60° × sin 30° = √3/2.

The fundamental guidelines and procedures to simplify any algebraic statement are as follows:By multiplying factors, remove any grouping symbols like brackets and parenthesis.

Simplify each term.

34+14

Combine fractions.

Combine the numerators over the common denominator.

3+14

Simplify the expression.

Add 3

and 1

44

Divide 4by 4

=  1.

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The option C is correct answer which is there is a 5% chance that the true likelihood of an unsatisfied customer will be less than 0.077 or greater than 0.138.

What is unsatisfied customer?

Consumer customers are "an expression of dissatisfaction on a consumer's behalf to a responsible party," according to the dictionary. It can also be positively stated as a complaint from a customer who provides proof of a fault with a good or service.

As given,

95% confidence interval gives you 95% confident that unsatisfied customer is in between 0.077 to 0.138.

that means 5% chance that unsatisfied customer is not between intervals.

So, we can say 5% chance that true likelihood of an unsatisfied customer will. be less than 0.077 or greater than 0.138.

Hence, the option C is correct answer.

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By using normal approximation, the probability that X = 35 or fewer when n = 50 and p = 0.6 is approximately P(X ≤ 35) ≈ 0.9251

Given that n = 50 and p = 0.6, the mean and standard deviation of the binomial distribution are

μ = np = (50)(0.6) = 30

\(\sigma = \sqrt(np(1-p)) = \sqrt((50)(0.6)(0.4)) \approx 3.464\)

Standardize the value of X = 35 using the mean and standard deviation of the distribution:

z = (X - μ) / σ = (35 - 30) / 3.464 ≈ 1.44

From a standard normal distribution table, the probability of a standard normal random variable being less than 1.44 is approximately 0.9251.

Therefore, the probability that X = 35 or fewer when n = 50 and p = 0.6 is approximately:

P(X ≤ 35) ≈ 0.9251

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a. D. magna is an effective grazer of the G. semen alga. b. a very strong negative correlation between the number of grazers and the net growth rate of G. semen.

a. The scatterplot of the data shows a clear negative correlation between the number of D. magna grazers and the net growth rate of G. semen. As the number of grazers increases, the net growth rate of G. semen decreases. This suggests that D. magna is an effective grazer of the G. semen alga.

b. The correlation coefficient between the number of grazers and the net growth rate is -0.996. This indicates a strong negative correlation between the two variables, which supports the interpretation that D. magna is an effective grazer of G. semen. The closer the correlation coefficient is to -1, the stronger the negative correlation between the two variables. In this case, the correlation coefficient is very close to -1, which indicates a very strong negative correlation between the number of grazers and the net growth rate of G. semen.

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Answer: 50 * 100 = 5000

Step-by-step explanation:

a simple way of multiplying numbers that are a 1 with zeros is by simply moving the zeros from that number to the other number

100 has 2 zeros, so you ad them to the 50. 50 with 00 is 5000

Answer: 5O x IOO = 5OOO

Step-by-step explanation:

5OOO, think of it like 5 x 1, 5 x 1 = 5, now add 3 zero’s since there are 3 zeros.