What is the answer for x?

Answer:

The maximum amount of people that can go to the amusement park is 15.

Step-by-step explanation:

First you create an equation to represent the question

8.75+25.75x≤420

You put the less than or equal to sign because 420 is the maximum amount of money.

Now you just solve the equation.

25.75x≤420-8.75

25.75x≤411.25

x≤411.25/25.75

x≤15.9708738

Then you have to round down because you cant have .9 of a person.

So x≤15

Then, Check your solution

8.75+(25.75 x 15)≤420

8.75+386.25≤420

395≤420

That is true. But to make sure that is the maximum add another 25.75

395+25.75≤420

420.75≤420

This is equation is false so, our answer is correct.

The maximum amount of people that can go to the amusement park is 15.

Answer:

Step-by-step explanation:

a) The critical t-values are approximately -3.182 and +3.182.

b) If a type I error is committed in this test, it means that the null hypothesis (H₀) is incorrectly rejected when it is actually true.

Here, we have,

a) To perform a test of significance to determine whether the mean amount of juice dispensed is different from 12.1 fluid ounces at =0.05, we can follow these steps:

Given:

Sample mean (x) = 12.05 fluid ounces

Standard deviation (s) = 0.085 ounce

Sample size (n) = 4

Population mean (μ) = 12.1 fluid ounces

Step 1: State the hypotheses.

Null hypothesis (H₀): The mean amount of juice dispensed is equal to 12.1 fluid ounces. (μ = 12.1)

Alternative hypothesis (H₁): The mean amount of juice dispensed is different from 12.1 fluid ounces. (μ ≠ 12.1)

Step 2: Select a significance level.

The significance level (α) is given as 0.05.

Step 3: Compute the test statistic.

Since the population standard deviation is unknown and the sample size is small (n < 30), we'll use a t-test.

The formula for the t-test statistic is:

t = (x - μ) / (s / √n)

Plugging in the values:

t = (12.05 - 12.1) / (0.085 / √4)

Step 4: Determine the critical value.

Since it's a two-tailed test and α = 0.05, we divide the significance level by 2 to get α/2 = 0.025.

The degrees of freedom (df) for a sample size of 4 is n - 1 = 3.

We can find the critical t-values using a t-table or a t-distribution calculator.

For α/2 = 0.025 and df = 3,

the critical t-values are approximately -3.182 and +3.182.

Step 5: Make a decision.

If the calculated t-value falls within the critical region (beyond the critical t-values), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Step 6: Calculate the p-value.

Alternatively, we can calculate the p-value associated with the t-value and compare it to the significance level. If the p-value is less than the significance level (0.05), we reject the null hypothesis.

Without the specific values for the mean, standard deviation, and sample size, it is not possible to perform the calculations required for Steps 3-6. Please provide those values, and I can help you complete the test of significance.

b) If a type I error is committed in this test, it means that the null hypothesis (H₀) is incorrectly rejected when it is actually true. In the context of the situation, this would lead to the machine being shut down for recalibration even though there is no convincing evidence that the mean amount of juice dispensed is different from 12.1 fluid ounces. It would result in unnecessary machine downtime and potential costs for recalibration.

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complete question:

A bottle-filling machine is set to dispense 12.1 fluid ounces into juice bottles. To ensure that the machine is filling accurately, every hour a worker randomly selects four bottles filled by the machine during thepast hour and measures the contents. If there is convincing evidence that the mean amount of juice dispensed is different from 12.1 ounces, the machine is shut down for recalibration. It can be assumed that the amount of juice that is dispensed into bottles is normally distributed. During one hour, the mean number of fluid ounces of four randomly selected bottles was 12.05 and the standard deviation was 0.085 ounces.

a) Perform a test of significance to determine whether the mean amount of juice dispensed is different from 12.1 fluid ouncesat=0.05.

b) Suppose you commit a type I error in this test, what would be a logical consequence of the machine given the context of the situation?

Answer:

19

Step-by-step explanation:

\(f(2)=2(3^2)+1=2(9)+1=18+1=\boxed{19}\)

The model used by Victor in the linear equation is incorrect,

The parameters are that;

Victor saved: $89.25

Cost of the bicycle = $129.85

Thus, to find the amount extra that he will need to purchase the bicycle, the equation model should be;

$89.25 + x = $129.85

This can be expressed in words as;

The amount of money he already has saved + the amount of money he still requires = the total price of the bike.

An equation that correctly represents this problem can show the sum of the amount of money he already has and the amount of money he needs equals the total cost of the bicycle

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Complete question is;

Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victor writes the equation below to help him determine the additional amount that he needs to solve to have enough to buy the bicycle.

89.25 + 129.85 = x

Does Victor's equation correctly model the problem?

If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

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Since the sum of the angles in a triangle = 180º, the 100º angle must be the vertex angle. Since the base angles of an isosceles triangle = each other, each base angle = 40º.

I hope this helps!

Answer:

C.  40

Step-by-step explanation:

180 - 100 = 80

80/2 = 40

Answer:360ml

Step-by-step explanation:

400/10=10%=40

400-40=360ml

Answer:

80 miles

Step-by-step explanation:

15 minutes  = 1/4 hour

distance = speed * time

d = 320 * 1/4

d = 80 miles

The correct answer is: allows for the construction of meaningful ratios between the data values.

The interval scale of measurement allows for the construction of meaningful ratios between the data values. This means that not only can we determine the order and the difference between values, but we can also compare values in terms of their relative magnitude using ratios. However, it does not have a true zero point and therefore does not allow for the use of negative values or the construction of absolute ratios. The nominal scale, on the other hand, is the weakest scale of measurement as it only allows for categorization or naming of data without any numerical significance. The correct answer is: allows for the construction of meaningful ratios between the data values.

The interval scale of measurement allows for the construction of meaningful ratios between the data values. This means that not only can we determine the order and the difference between values, but we can also compare values in terms of their relative magnitude using ratios.

However, it does not have a true zero point and therefore does not allow for the use of negative values or the construction of absolute ratios. The nominal scale, on the other hand, is the weakest scale of measurement as it only allows for categorization or naming of data without any numerical significance.

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Answer:

The unit rate is 32/25 Walls per gallons.

Step-by-step explanation:

Gallons of paint used by Martin =  5/8 gallons

Portion of wall Martin wants to paint in pints = 4/5 wall.

Rate at which Martin paints the wall: Rate =  Portion of wall covered/Paints Used.

Rate = 4/5 Gallons/5/8 Gallons = 32/25 Wall Gallons.

4 significant digit the quotient have.

Significant digit are the important digit in a number which convey the accuracy. all non zero numbers are significant and zero between two non zero is a significant digit and all zeros at the right of decimal is significant digit in number.

Given numbers are 2.058 * 10^9 and 3.0571 * 10^-4

To calculate the division first we have to solve the exponent.

In divide we subtract the powers

10^(9-(-4)) = 10^13

Now do the division

(2.058 ÷ 3.0571)*10^13 = 0.67318*10^13 = 0.6732 *10^13

=6.732 * 10^12

Number of significant digit are 4.

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(a) The number of people expected to have blood type O+ among 40 randomly selected people  is 14 .

(b) the standard deviation of number of people who have blood type O+ among 40 people is 3.0166 .

In the question ,

it is given that ,

probability that the person has blood group of type O+ is (p) = 0.35

the number of people randomly selected is (n) = 40 people ,

So , Number of people expected to have blood type O+ among 40 randomly selected people = Mean of the binomial distribution .

= n × p

= 40 × 0.35
= 14

So ,The standard deviation of the number of people expected to have blood type O+ among 40 randomly selected people = √(n × p × q)

= √(40 × 0.35 × (1-0.35))

= √(40 × 0.35 × 0.65)

= 3.0166

Therefore , (a) The number of people expected to have blood type O+ among 40 randomly selected people  is 14 .

(b) the standard deviation of number of people who have blood type O+ among 40 people is 3.0166 .

The given question  is incomplete , the complete question is

If the probability that a person has blood type O+ is 0.35 and you have 40 randomly selected people ,

(a) About how many would you expect to have blood type O+ ?

(b) What is the standard deviation of the number of people who would have blood type O+ among the 40 people ?

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Answer: it’s 9

Step-by-step explanation:

54 divined by 6 = 9

Answer:

D.

Step-by-step explanation:

1) according to the definition of parabola d(focus)=f(directrix),

2) then

\(d(focus)=\sqrt{(x-1)^2+(y+4)^2} \ and \ d(directrix)=|x-3|;\)

\(\sqrt{(x-1)^2+(y+4)^2} =|x-3|;\)

3) after evoluation the equation:

(y+4)²=-4x+8 or (y+4)²= -4(x-2);

4) correct answer is D.

Answer:

Canoe B is best canoe to choose

Step-by-step explanation:

Given:

Canoe A costs = $80 for 2 hours

Canoe B costs = $110 for 4 hours

Canoe C costs = $91.81 for 3.25 hours

Find:

Best canoe to choose

Computation:

Each hour cost;

Canoe A costs = $80 / 2 = $40 per hour

Canoe B costs = $110 / 4 = $27.5 per hour

Canoe C costs = $91.81 / 3.25 = 28.25 per hour

Canoe B is best canoe to choose

If p is true and q is false, then

• p ∨ q is true, and so ¬ (p ∨ q) is false (¬ stands for "negation" or "not")

• p ∧ q is false, and so ¬ (p ∧ q) is true

which means

¬ (p ∨ q) ∧ ¬ (p ∧ q)

is false.

Answer:

A

Step-by-step explanation:

A should be the right answer

Answer:

A

Step-by-step explanation:

Answer 'A' is taking the absolute value of the addition of 4.35 and 2 1/5, or |-4.35 - 2.2| which equals |-6.55|, which equals 6.55, because distance can never be negative

Answer:

First image: (6, -1)

2nd image: y = 63

Explanation:

1)

2x + y = 11

1/2x - 5y = 8

y = -2x + 11

1/2x - 5(-2x + 11) = 8

1/2x + 10x - 55 = 8

10.5x - 55 = 8

10.5x = 63

x = 6

2x + y = 11

2(6) + y = 11

12 + y = 11

y = -1

(x , y) = (6, -1)

2)

1/4(8y - 4.8) = 2 (0.9y + 5.4) + 3/5

2y - 1.2 = 1.8y + 10.8 + 0.6

0.2y - 1.2 = 11.4

0.2y = 12.6

y = 63

Answer: r=C2π=22·π≈0.31831

Hope this helps!

Answer:

Standard Form:

\(y = {x}^{3} - 3 {x}^{2} + 3x - 4\)

Another Form:

\(y = (x - 1)^{3} - 3\)

Step-by-step explanation:

The type of graph or function is called Cubic Function

The type of graph is represented by the equation of y = a(x-h)³+k

Thus our equation for the graph is

\(y = {(x - 1)}^{ 3} - 3\)

In case if you want standard form.

Simplify the expression.

\((x - y)^{3} = {x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} \)

\(y ={x}^{3} - 3 {x}^{2} + 3x - 1 - 3 \\ y = {x}^{3} - 3 {x}^{2} + 3x - 4\)

Answer: 30

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The mean and median will be close or the same when the graph is symmetrical

Answer:

A. 175 m

B. 20 cm

Step-by-step explanation:

\(\frac{1 cm}{25 m} =\frac{7 cm}{x m}\)

x = 175 m

\(\frac{25 m}{1 cm} = \frac{500 m}{x cm}\)

x = 20 cm

Answer:

No1. 175 m

no2. 20 cm

Calculators bought to help individuals complete their personal federal income tax forms is not a business product.

A business product refers to goods or services that are purchased by businesses or organizations to be used in their operations or to produce other goods and services. It excludes products intended for personal use or consumption.

In the given options, calculators bought to help individuals complete their personal federal income tax forms stands out as not being a business product. Calculators purchased for personal use, even if they are used for a specific task related to taxes, are not considered business products because they are intended for personal use rather than for business operations or production.

On the other hand, paper, pens, and tape to be used in an office, chips to be integrated into components for personal computers, marketing consulting services to aid a company in marketing a new product, and oil to be refined into fuel are all examples of business products.

Therefore, calculators bought for personal use is the option that does not represent a business product in the given choices.

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Criterion-related validity is the kind of validity evidence that necessitates a correlation process.

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Answer:

11 units.

Step-by-step explanation:

Answer:

The equation of y-axis is x = 0, since, y-axis is a parallel to itself at a distance 0 from it. Let P (x, y) be any point on the y-axis. Then clearly, for all position of P we shall the same abscissa 0 or, x = 0. Therefore, the equation of y-axis is x = 0.

Step-by-step explanation:

Answer: 147m

Step-by-step explanation: the tower's height can be calculated using the following equation: height = (shadow length/pole shadow length) * pole height Therefore, the tower's height is: height = (45.5/1.01) * 2.8 height = 146.5 m The tower's height is approximately 147 m, rounded to the nearest meter