Which of the following equations represents the graph shown
F(x)=x + 1
F(x)=2/3x
F(x)=3/2x

When Eva advanced to the next round of the contest, the inequality that describes the number of questions will be 3x + 5y > 60

It should be noted that an inequality will simply used to illustrate the expressions that aren't equal. This is illustrated with the use of greater than, less, than, etc.

In this case, the contestants receive 3 points for each correct multiple choice question and 5 points for each correct free response question, and they must score more than 60 points to advance to the next round.

Therefore, the inequality that describes the number of questions will be:

= 3(x) + 5(y) > 60

= 3x + 5y > 60

where x = number of multiple choice questions,

y = number of free response questions,

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According to Yaseen's demand function, if she can produce 60 kits, the function cost per kit should be set at:

\(p = 30 - 0.5q\s60 = q = > p = 30 - 0.5(60) (60) > p = $15\)

Probability theory is an area of mathematics that deals with calculating the likelihood that an event will occur or a proposition will be true. A risk is a number between 0 and 1, where 0 represents the possibility of an event occurring and 1 represents certainty.

Probability is a mathematical expression of the possibility that an event will occur. The proportion of equally plausible options that actually occur relative to all potential outcomes when an event happens is known as the probability, and it may also be written as an integer between 0 and 1.

According to Yaseen's supply function, if she can produce 15 kits, the cost per kit she should charge is:

\(p = 10 + 0.5q\)

\(p = 10 + 0.5(15) (15)\)

\(p = $17.50\)

According to Yaseen's demand function, if she can produce 15 kits, the cost per kit she should charge is:

\(p = 30 - 0.5q\sp = 30 - 0.5(15) (15)\)

\(p = $22.50\)

According to Yaseen's supply function, if she can provide 60 kits, the cost per kit should be as follows:  \(p = 10 + 0.5q 60 = q p = 10 + 0.5 (60)\)

\(p = $40\)

According to Yaseen's demand function, if she can produce 60 kits, the cost per kit should be set at:

\(p = 30 - 0.5q\s 60 = q\)

\(p = 30 - 0.5(60) (60)\)

\(p = $15\)

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Answer:

Step-by-step explanation:

1. Demand- 0<=x<=85 /  Supply- 0<=x<=100

The company is estimating that no more then 85 kits will be demanded each month. The company can supply no more then 100 kits per month.

2. x=15

S(15)=0.01(15)^2+0.5(15)=9.75

D(15)=0.02(15-100)^2=144.5

3. x=60

S(60)=0.01(60)^2+0.5(60)=66

D(60)=0.02(60-100)^2=32

4. The supply in question 3 is larger then the demand. Supply>Demand- No, because the demanding price is much lower.

5. X^2- Quadratics because in math the quadratic equation of degree 2 is the highest exponent of the equation with the standard as y=ax^2+bx+c

6. See attachment

7. f(x)=0.02(x-100)^2      g(x)=0.01x^2+0.5x

They intersect on the graph at (50, 50) so the products is 50.

8. See Attachment

f(x)=0.02(x-100)^2

g(x)=0.01x^2+0.5x

The probability that the sum of the two values showing is 5 is 1/9 which is approximately 0.111 or 11.11%.

There are a total of 36 possible outcomes when rolling two fair 6-sided dice. Since the dice are fair, each outcome is equally likely. To find the probability of getting a sum of 5, we need to determine how many of the 36 possible outcomes will result in a sum of 5.

The possible outcomes that add up to 5 are (1,4), (2,3), (3,2) and (4,1). These are 4 possibilities, so the probability of getting a sum of 5 when rolling two fair 6-sided dice is 4/36 or 1/9 which is approximately 0.111 or 11.11%.

In general, the probability of getting a certain sum when rolling two fair dice is determined by the number of ways that the two dice can combine to give that sum.

Therefore, the probability that the sum of the two values showing is 5 is 1/9 which is approximately 0.111 or 11.11%.

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number of defective chips: total number of chips in each batch is 1:200

In mathematics, proportion is an expression that shows the equality of two ratios.

Inspector found 4 defective chips in a batch containing 800 chips

How many defective chips in a batch of 20000 chips.

let x be the number of defective chips in the larger batch.

  now, x = 4/800 × 20000 = 100

        x = 100

As per question, a is the number of defective chips in the smaller batch of containing b chips.

x is the number of defective chips in the larger batch containing d chips.

a/b = x/d

4/800 = 100/20000

the proportion 1/200 =1/200

defective chip: total chips = 1:200

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Answer:

x = 0

Step-by-step explanation:

You are solving for x

\(\frac{x}{5}\) + 2 = 2  Subtract 2 from both sides of the equation

\(\frac{x}{5}\) = 0  Multiply both sides by

\(\frac{x}{5}\)  \((\frac{5}{1})\) =  0 \(\frac{5}{1}\)

x = 0

Replacing stoplights with roundabouts does not significantly reduce the rate of accidents at intersections based on the given data.

Based on the statistical analysis, replacing stoplights with roundabouts does not significantly reduce the rate of accidents at intersections.

To test this hypothesis, we will use a paired t-test, which compares the means of two sets of paired data. The null hypothesis is that there is no significant difference between the mean accident rates before and after installing roundabouts, while the alternative hypothesis is that the mean accident rate after installing roundabouts is significantly lower than before.

Here are the steps to conduct the paired t-test:

Using the given data, the differences between the accident rates before and after installing roundabouts are:

-0.6, 0.2, 0.6, -0.1, 0

The mean of the differences is 0.02, and the standard deviation is 0.43. There are 5 paired observations, so the degrees of freedom are 4.

Using the formula, we get:

t = 0.02 / (0.43 / √(5)) = 0.14

The critical t-value at a 0.05 level of significance and 4 degrees of freedom is 2.776 from a t-distribution table.

Since the calculated t-value (0.14) is less than the critical t-value (2.776), we fail to reject the null hypothesis. Therefore, we can conclude that replacing stoplights with roundabouts does not significantly reduce the rate of accidents at intersections based on the given data.

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Answer: n=-3 and n=3/2

Step-by-step explanation:

To solve the expression, we want to find the values of n. Since there are no common factors in 2, 3, -9, we directly multiply the "a" and "c" values.

2×(-9)=-18

This means, we want to find two numbers that multiply to -18 and adds to 3. This can also be known as the cross method.

We will find that 6 and -3 multiply to -18, and adds to 3.

In our box method, we want to find the common factors.

|2n²|6n|

|-3n|-9|

Note: Just pretend the lines line up and form a square box, with a term in each box.

After finding that is in common between the boxes, we get (n+3)(2n-3)=0

To solve, we set each factor equal to 0.

n+3=0

n=-3

2n-3=0

2n=3

n=3/2

The 2005th term of the sequence is 55.

Given information,

The first term of a sequence is 2005.

It states that each succeeding term is the sum of the cubes of the digits of the previous term, then the 2005th term is;

First term = 2005

Second term = 2³ + 0³ + 0³ + 5³ = 8 + 0 + 0 + 125 = 133

Third term = 1³ + 3³ + 3³ = 1 + 27 + 27 = 55

Fourth term = 5³ + 5³ = 125 + 125 = 250

Fifth term = 2³ + 5³ + 0³ = 133

As we see the number obtained repeating, the 2005th term will be 55.

Hence, the 2005th term of the sequence is 55.

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Answer:

196

Step-by-step explanation:

196 is the perfect square number, because its square root is 14.

\( \sqrt{196} = 14\)

slope of (10,0) and (-2,4) is -1/3

Formula:

M = y2-y1x2-x1

m = 4 - 0 / -2 - 10

y = 4

x = -12

answer: -4/12

Answer: 41.85 or 41 17/20.

Step-by-step explanation:

Formulate : 2511 / 12 / 5

calculate the product/quotient : 2511/60

Cross out the common factor:  837/20

Getting the result of 41.85 or 41 17/20.

Answer - 41.85 or 41 17/20.

Answer:

Step-by-step explanation:

9 - (-9) = 18

Don't be distracted by the Russian language, just look at the letters

Answer:

-3 ≤y≤6

Step-by-step explanation:

The range is the output values or the y values

The y values go from -3 to 6 including these values

-3 ≤y≤6

Total price paid by Michael for the basket of mangoes is $4.48.

For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -

Total price = 4 + 12%×4

Calculating the percentage of sales tax on Right Hand Side of the equation

Total price = 4 + 12×4/100

Solving the percentage part on Right Hand Side of the equation

Total price = 4 + 0.48

Performing addition on Right Hand Side of the equation

Total price = $4.48

Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.

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Learn more

Answer:

twenty and thirty-six thousandths in standards form is 20.036

Answer:

20.006

Step-by-step explanation:

I think this is what you need but not a lot of info. sorry if it's not

Answer: D. < CBA

Step-by-step explanation:

The P-value for the hypothesis test is approx. 0.7064.

To find the P-value for the hypothesis test, we need to perform a two-sample proportion test. The formula to calculate the test statistic for this test is given by:

\(\[ z = \frac{{(\hat{p}_1 - \hat{p}_2) - 0}}{{\sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)}}} \]\)

where \(\hat{p}_1\) and \(\hat{p}_2\) are the sample proportions, \(\hat{p}\) is the combined sample proportion, \(n_1\) and \(n_2\) are the sample sizes, and 0 is the hypothesized difference in proportions.

In this case, we have \(n_1 = 50\), \(x_1 = 8\) (number of successes in sample 1), \(n_2 = 50\), and \(x_2 = 7\) (number of successes in sample 2).

First, we calculate the sample proportions:

\(\[ \hat{p}_1 = \frac{x_1}{n_1} = \frac{8}{50} = 0.16 \]\)

\(\[ \hat{p}_2 = \frac{x_2}{n_2} = \frac{7}{50} = 0.14 \]\)

Next, we calculate the combined sample proportion:

\(\[ \hat{p} = \frac{x_1 + x_2}{n_1 + n_2} = \frac{8 + 7}{50 + 50} = 0.15 \]\)

Then, we calculate the standard error:

\(\[ SE = \sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)} = \sqrt{0.15(1 - 0.15)\left(\frac{1}{50} + \frac{1}{50}\right)} \approx 0.0529 \]\)

Finally, we calculate the test statistic:

\(\[ z = \frac{(\hat{p}_1 - \hat{p}_2) - 0}{SE} = \frac{(0.16 - 0.14) - 0}{0.0529} \approx 0.3772 \]\)

To find the P-value, we look up the test statistic in the standard normal distribution table. In this case, the P-value is the probability of observing a test statistic greater than 0.3772 or less than -0.3772.

Consulting the table, we find that the P-value is approximately 0.7064. Therefore, the P-value for the hypothesis test is approximately 0.7064.

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The population standard deviation of the data is 111.

1. Find the mean of the data:

Mean = (314 + 158 + 482 + 284 + 310 + 281) / 6 = 1029 / 6 = 171.5

2. Find the difference between each data point and the mean:

Feb: (314 - 171.5) = 142.5

Mar: (158 - 171.5) = -13.5

Apr: (482 - 171.5) = 310.5

May: (284 - 171.5) = 112.5

Jun: (310 - 171.5) = 138.5

Jul: (281 - 171.5) = 109.5

3. Square each of the differences:

Feb: (142.5)^2 = 20,312.5

Mar: (-13.5)^2 = 182.25

Apr: (310.5)^2 = 95,822.25

May: (112.5)^2 = 12,656.25

Jun: (138.5)^2 = 19,082.25

Jul: (109.5)^2 = 11,982.25

4. Sum all of the squared differences:

20,312.5 + 182.25 + 95,822.25 + 12,656.25 + 19,082.25 + 11,982.25 = 149,047.5

5. Divide the sum of the squared differences by the number of data points minus one:

149,047.5 / (6 - 1) = 149,047.5 / 5 = 29,809.5

Square root of 29,809.5 = 111 (rounded to the nearest integer)

Therefore, the population standard deviation of the data is 111.

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The coordinates of point b are  (1,3)

What are coordinates?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).

(x1,y1) = (-7, 1)

Let point b has coordinates (x2,y2)

M (-3, 2)

mid point formula:

M= [ (x1+x2)/2,   (y1+y2)/2 ]

(-3, 2) =  [ (-7+x2)/2,   (1+y2)/2 ]

=> -3= (-7+x2)/2                      ,  2 = (1+y2)/2

=> -6 = -7+x2                             => 1+y2 = 4

=> x2= -6+7 = 1                          => y2=4-1 =3

(x2,y2) = (1,3)

The coordinates of point b are  (1,3)

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The volume of the given triangular prism is 315 cm³.

The volume of a triangular prism, we need to multiply the base area of the triangular base by the height of the prism.

The triangular base has a base length of 5 cm and a height of 7 cm, and the height of the prism is 9 cm.

Calculate the area of the triangular base.

The area of a triangle can be calculated using the formula:

Area = (base length × height) / 2

Plugging in the values, we have:

Area = (5 cm × 7 cm) / 2

Area = 35 cm²

Calculate the volume of the prism.

The volume of a prism can be calculated by multiplying the base area by the height of the prism.

Volume = Base area × Height

Volume = 35 cm² × 9 cm

Volume = 315 cm³

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Answer: imaginary axis

Step-by-step explanation:

Answer:

B isa the answer for me it might be wrong for you or switch them

Step-by-step explanation:

The triangles in this problem are similar using the SSS theorem.

Similar triangles are triangles that share these following two features:

For this problem, we have that the two triangles share two common angle measures.

A triangle is composed by three angles, and the sum of their measures is of 180º, hence the third angle measure will be equal for both triangles.

As the angle measures are equal, the side lengths are going to be proportional, thus the triangles are similar by the SSS theorem.

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Answer:

140

Step-by-step explanation:

You want the area. You do not have to take the square root. First of all you have to assume this is a right angle triangle.

c^2 = b^2 + a^2

c^2 = 200

b^2 = 60

a^2 = ?

200 = 60 + a^2

200 - 60 = a^2

a^2 = 140

Answer:

4/12, 5/12, 6/12, 7/12

Step-by-step explanation:

1/4 x 3/3 = 3/12

2/3 x 4/4 = 8/12

between 3/12 and 8/12

4/12, 5/12, 6/12, 7/12

you can simplify these if you wish

Hope that helped!!! k

To compare the consumption of energy drinks between two groups, i.e., students from "uh" and "ut," you can use an independent t-test.

The independent t-test is appropriate when you have two independent groups and you want to compare the means of a continuous variable between them.

In this case, you can collect data on energy drink consumption from a sample of students from both "uh" and "ut" and perform an independent t-test to determine if there is a statistically significant difference in the average consumption of energy drinks between the two groups.

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Answer:

Given: △FGH and △LMN with FG≅LM, ∠F≅∠L, and FH≅LN.

To Prove ∠G≅∠M.

Reasons:

FG≅LM  Given

FH≅LN  Given

∠F≅∠L  Given

△FGH≅△LMN (SAS Congruence Theorem)

∠G and ∠M are corresponding angles of △FGH≅△LMN

Therefore, ∠G≅∠M. Henced Proved.

Note:

The SAS congruence theorem can be used to prove that two triangles are congruent if we know that two sides and the included angle of one triangle are equal to the corresponding sides and included angle of the other.

Answer:

The answer is -1.5.

Step-by-step explanation:

-3.4 - (-1.9)

-3.4 + 1.9

-1.5

P = 40 + 12 + 28 + 16 + 12 + 28

P = 136 ft.

Attached solved problem.

Consider marking "Brainliest".

Thank you.

Answer:

5

Step-by-step explanation:

Answer:

y = 3

Step-by-step explanation:

y - 3 = 2(x + 1)

If you simplify the right side of the equal sign, you'll get...

y - 3 = 2x + 2

then you would add 3 to both sides...

y - 3 (+3) = 2x + 2 (+3)

which will make...

y = 2x + 5

and since x = -1, you plug it in..

y = 2(-1) + 5

which will give you..

y = -2 + 5

which will make it..

y = 3