5. Why Lily loves her cheese so much?
a. It gives her strong bones.
b. It makes her happy.
c. It makes her sad.​

Answer:

Luna didn't square 4.5 and she also didn't multiply anything by 3.14

Answer:

Luna didn't square 4.5 and she also didn't multiply anything by 3.14

;)

The length of arc PS from the information given in the task content is; 31.5 ft.

It follows from the task content that;

On this note, the length of arc PS is;

arc PS = (164/360) × 2 × 3.14 × 11.

arc PS = 31.5ft.

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Answer:

A

Step-by-step explanation:

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope. The correct option is C.

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.

Of the four of the given options, the options that are true are A and C, but since option, A says If two lines are parallel, then they do not intersect; T. Therefore, in the given option the result is given first and then the condition.

Opposite of that option C says If two lines do not intersect, then they are parallel; T. Therefore, it states the condition and then the answer. Thus, it is the correct option.

Hence, the correct option is C.

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The probability of rain given lightning is 2/15. To find the probability of rain given lightning, we can use Bayes' theorem.

It states that P(A|B) = P(B|A) * P(A) / P(B), where A and B are events. Let's assign the events as follows: A: Rain; B: Lightning. We are given: P(A) = 1/2 (probability of rain); P(B) = 3/10 (probability of lightning); P(B|A) = 2/5 (probability of lightning given rain).

Using Bayes' theorem, we can calculate P(A|B): P(A|B) = P(B|A) * P(A) / P(B) = (2/5) * (1/2) / (3/10) = (2/5) * (1/2) * (10/3) = 20/150 = 2/15. Therefore, the probability of rain given lightning is 2/15.

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Answer:

midpoint equation

Step-by-step explanation:

Answer:

Corresponding and x = 5

Step-by-step explanation:

To solve for x set the two equations equal to each other

5x+23 = 7x+13

10 = 2x

x = 5

The scenario for test statistic is estimated z-score to make inferences about the population mean which is unknown.

x is the sample mean = 11

μ is the population mean = unknown

σ is the population standard deviation = 5

And n is the sample size= 1,166

Assuming a normal distribution for the number of alcoholic beverages consumed per week,

Use a z-test to calculate the test statistic.

The formula for the z-score is,

z = (x - μ) / (σ / √(n))

Since the population mean is unknown,

Not possible to calculate the exact z-score,

Calculate an estimated z-score using the sample mean,

z = (x - μ) / (σ / sqrt(n))

z = (11 - μ) / (5 / sqrt(1166))

z ≈ (11 - μ) / 0.146

Therefore, need to know the population mean μ for the z-score in the calculated test statistic.

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The value of the left endpoint Riemann sum for f(x) on the interval 3 < x < 5 is 13/5.

To calculate the left endpoint Riemann sum for a function f(x) on a given interval, we divide the interval into subintervals of equal width and evaluate the function at the left endpoint of each subinterval. We then multiply the function values by the width of the subintervals and sum them up.

In this case, the interval is 3 < x < 5. Let's assume we divide the interval into n subintervals of equal width. The width of each subinterval is (5 - 3)/n = 2/n.

At the left endpoint of each subinterval, we evaluate the function f(x) = 13/x. So the function values at the left endpoints are f(3 + 2k/n), where k ranges from 0 to n-1.

The left endpoint Riemann sum is then given by the sum of the products of the function values and the subinterval widths:

Riemann sum ≈ (2/n) * (f(3) + f(3 + 2/n) + f(3 + 4/n) + ... + f(3 + 2(n-1)/n))

Since f(x) = 13/x, we have:

Riemann sum ≈ (2/n) * (13/3 + 13/(3 + 2/n) + 13/(3 + 4/n) + ... + 13/(3 + 2(n-1)/n))

As n approaches infinity, the Riemann sum approaches the definite integral of f(x) over the interval 3 < x < 5. Evaluating the integral, we find:

∫(3 to 5) 13/x dx = 13 ln(x)|3 to 5 = 13 ln(5) - 13 ln(3) = 13 ln(5/3) ≈ 4.116

Therefore, the value of the left endpoint Riemann sum is approximately 4.116.

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Answer:

I think it's the top left one

Step-by-step explanation:

The length is 6, the width is 3, and the height is 4, which matches the expression.

Step-by-step explanation:

\((6 \times 3 + 3 \times 4 + 4 \times 6) \\ = (18 + 12 + 24) \\ = 54\)

The stock markets utilize "Ticker Symbols," which are distinctive one- to five-letter codes, to uniquely identify companies.Because stock quotes used to be printed on a ticker tape machine that resembled the images below, it is known as a ticker symbol.

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We are asked to find the volume of a sphere. Let's remember the formula for the volume of a sphere given the radius "r":

Replacing the value of "r = 9cm", we get:

Solving the operations:

Answer:

\(7x^{2} - 2x\)

Step-by-step explanation:

combine like terms. not trying to be mean, but that all you have to do.

Answer:

14-2x

Step-by-step explanation:

collect like terms

3×2+4×2-2x-x-x

6+8-2x

=14-2x

Answer:

c

Step-by-step explanation:

C) 15^2 + 16^2 = x^2

hyp² = Adj² + opp²

X² = 15² + 16²

Answer:

8(x + 6) = 144

Step-by-step explanation:

We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144

There are 52 weeks of data included in this frequency distribution.

The given frequency distribution displays the weekly sales of a certain brand of television at an electronics store.

We need to find the number of weeks of data included in this frequency distribution.From the given data, we can see that the frequency column represents the number of televisions sold per week.

To find the number of weeks of data included, we need to sum up the frequency column. Summing up the frequency column gives us:12 + 5 + 5 + 5 + 25 = 52

Therefore, there are 52 weeks of data included in this frequency distribution.

The given frequency distribution displays the weekly sales of a certain brand of television at an electronics store. We need to find the number of weeks of data included in this frequency distribution.

From the given data, we can see that the frequency column represents the number of televisions sold per week. To find the number of weeks of data included, we need to sum up the frequency column. Summing up the frequency column gives us:

12 + 5 + 5 + 5 + 25 = 52

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Answer:

Step-by-step explanation:

The answer is not in the option

Step one:

given data:

we are told that the hourly earning= $8.50

then additional tip=$80

total earnings=$131.

Step two:

the linear function for the total earning is the same as the equation of a line

y=mx+c

where

y represents the total earning of $131

m represents the hourly earning= $8.50

x represents the number of hours h

c represents the tip of $80

The expression for the situation is modeled as

The slope of the regression line predicting y from x is 0.30.

Given that,

x              y

29          215

62          225

75          173

99         129

108        111

So, the coordinate points are (29, 215) and (62, 225)

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

Here, slope = (225-215)/62-29)

= 10/33

= 0.30

Therefore, the slope of the regression line predicting y from x is 0.30.

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Based on the given data and a one-sample chi-square test, the hypothesis test results reject the null hypothesis (σ < 10) in favor of the alternative hypothesis (σ > 10) at a significance level of 0.05. This indicates sufficient to suggest that the population standard deviation is greater than 10.

We test if the population standard deviation (σ) is less than 10 (H₀: σ < 10) or greater than 10 (Ha: σ > 10) using a significance level of 0.05.

To test this hypothesis, we can perform a one-sample chi-square test of variance, also known as the chi-square goodness-of-fit test. The test statistic is calculated as:

χ² = (n-1) * s² / σ₀²

where n is the sample size, s² is the sample variance, and σ₀ is the hypothesized population standard deviation under the null hypothesis.

Let's calculate the necessary values:

Sample size (n) = 40

Sample variance (s²) = Sum of (xi - X⁻)² / (n-1) = 129.7396

Hypothesized population standard deviation (σ₀) = 10

Now, we can calculate the test statistic:

χ² = (n-1) * s² / σ₀² = (40-1) * 129.7396 / 10² = 515.792

To test the hypothesis, we need to compare the test statistic to the critical value from the chi-square distribution with (n-1) degrees of freedom (39 degrees of freedom in this case) at the chosen significance level (α = 0.05).

The critical value for a right-tailed test with α = 0.05 and 39 degrees of freedom is approximately 56.891.

Since the test statistic (515.792) is greater than the critical value (56.891), we reject the null hypothesis (H₀). This means that there is proof to suggest that the population standard deviation is greater than 10.

Therefore, based on the given data and the performed hypothesis test, we reject the null hypothesis and conclude that there is sufficient to support the alternative hypothesis that the population standard deviation is greater than 10.

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Answer:

96%

Step-by-step explanation:

If you substitue values for the sides of the square, you can easily solve this problem.

If the side of each square was 10, then the area of the square would be 100. A 40% increase in side length would mean 10×.4 = 4 --> 10+4= 14.

14 would be your new side length meaning that the area would be 196.

From this, you can see that there is an increase by 96 from the original to the 40% increase. Since the value was initially 10, we can turn the 96 increase into 96 percent.

Answer:

40% iincrease

Step-by-step explanation:

A=l^2  (area of a square)      let the unknown dimensions be x                                                                                                                   Area of the original square without change=(x^2)                                                          Area of the square undergoing change =(1.4x^2)                                                            thus,% change=new-old/old*100%                                                                                   1.4-1.0=0.4*100=40%                                                                                    

A hypothesis test on a regression coefficient fails to reject the null hypothesis at the 5% significance level. This means that the test was not able to provide enough evidence to support the idea that the regression coefficient is significantly different from zero.

A hypothesis test is a statistical test that is used to determine whether there is enough evidence to support or reject a claim about a population based on the sample data. In a regression analysis, the regression coefficient represents the slope of the regression line that shows the relationship between the dependent variable and the independent variable(s).The null hypothesis for a regression coefficient is that the population slope is zero, which means that there is no linear relationship between the dependent variable and the independent variable(s). The alternative hypothesis is that the population slope is not zero, which means that there is a linear relationship between the dependent variable and the independent variable(s).The level of significance (α) is the probability of making a Type I error, which is the rejection of the null hypothesis when it is actually true. The commonly used value for α is 0.05 (or 5%).If a hypothesis test on a regression coefficient fails to reject the null hypothesis at the 5% significance level, it means that there is not enough evidence to support the alternative hypothesis that the population slope is not zero. Therefore, it can be concluded that the regression coefficient is not significantly different from zero and there is no linear relationship between the dependent variable and the independent variable(s).

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Step-by-step explanation:

these are positive real numbers representing a size, which can only be positive.

direction is irrelevant.

the absolute value of an imaginary number is the distance of that number from the origin on the imaginary number plane. it does not matter in what direction.

the magnitude of a force is just the power involved, it does not say what direction.

the distance between 2 points - that is the same case as with the absolute value of the imaginary number. a distance is always positive independently of the direction.

The solution for question a is -2.00. The solution for question b is  0.6687. The solution for question c is 10 students. We can show the working in the following manner.

a. What is the probability of completing the exam in one hour or less (to 4 decimals)?

To answer this question, we need to convert the time of one hour (60 minutes) to a z-score using the mean and standard deviation provided. We have:

z = (60 - 80) / 10 = -2.00

Using a standard normal distribution table or calculator, we can find that the probability of completing the exam in one hour or less is approximately 0.0228, rounded to 4 decimal places.

b. What is the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes (to 4 decimals)?

To answer this question, we need to find the probability of completing the exam in less than 75 minutes and subtract the probability of completing the exam in less than 60 minutes. We have:

z1 = (60 - 80) / 10 = -2.00

z2 = (75 - 80) / 10 = -0.50

Using a standard normal distribution table or calculator, we can find that the probability of completing the exam in less than 75 minutes is approximately 0.6915 and the probability of completing the exam in less than 60 minutes is approximately 0.0228, as calculated in part a.

So, the probability of completing the exam in more than 60 minutes but less than 75 minutes is approximately:

0.6915 - 0.0228 = 0.6687, rounded to 4 decimal places.

c. Assume that the class has 60 students and that the examination period is 90 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time (to the next whole number)?

To answer this question, we need to find the number of students whose exam time is greater than 90 minutes, which is the maximum time allowed. We can use the normal distribution with the given mean and standard deviation to calculate this.

First, we need to find the z-score corresponding to a time of 90 minutes:

z = (90 - 80) / 10 = 1.00

Using a standard normal distribution table or calculator, we can find that the probability of completing the exam in more than 90 minutes is approximately 0.1587.

Therefore, the expected number of students who will be unable to complete the exam in the allotted time is:

60 x 0.1587 = 9.52, which rounds up to 10 students (to the next whole number).

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Answer:

48

Step-by-step explanation:

72 is full time.

To find 2/3, we can just multiply them.

72 * 2/3 = 144/3 = 48

The opposite of Carlo's elevation is 12 feet

Carlos is said to have submerged himself in a 12-foot-deep swimming pool.

Carlos' elevation will be -12 feet with regard to the surface because he submerged himself to the pool's bottom.

The elevation of Carlos as it relates to the ground would be opposite of -12 feet, or -(- 12) feet.

12 feet

Carlos' elevation in relation to the ground is therefore 12 feet higher than it should be.

Thus the opposite of Carlo's elevation is 12 feet .

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The dependent variable in the function g(t) = - t - 10 is g .

In the given function g(t) = - t - 10 , we have t which is the independent variable. It makes up the domain of the function.

The independent variable is the one whose value is mapped by all and any particular t.

And 10 is the constant.

Dependent variables get their name since their values are examined throughout an experiment under the assumption or requirement that they are likewise dependent on the value of the dependent variable pursuant to some regulation .

Independent variables are those that, in relation to anything having to do with the experiment in question, are not considered to be reliant on any other factors.

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Answer:

a = 1/2 • c

b = (root3)/2 • c

Step-by-step explanation:

30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)

The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. Your question asked for everything in terms of c (the hypotenuse) see image. We can use these shortcuts to find your answer. See image.

Answer:

630 is the LCM

Step-by-step explanation:

Prime factorization of the numbers:

30 = 2 × 3 × 5

90 = 2 × 3 × 3 × 5

315 = 3 × 3 × 5 × 7

LCM(30, 90, 315)

= 2 × 3 × 3 × 5 × 7

= 630

hope this helps :)

Answer:

x = 7

Step-by-step explanation:

since 2 sides are congruent, then the triangle is isosceles with base angles being congruent , both (9x - 25)

the sum of the 3 angles in the triangle = 180° , that is

9x - 25 + 9x - 25 + 104 = 180

18x + 54 = 180 ( subtract 54 from both sides )

18x = 126 ( divide both sides by 18 )

x = 7