Which number would make this number sentence true?

(5 + 1) * ? = 6 x 9

Using the triangle proportionality theorem, the length of segment MF in triangle LMN is: 48 cm.

The triangle proportionality theorem states that when a segment intercepts two sides of a triangle and it is parallel to a third side, then it divides the side proportionally.

The diagram of triangle LMN is shown below. Using the triangle proportionality theorem, we have:

MF/MN = ME/ML

Plug in the values

MF/124 = (31 - 19)/31

MF/124 = 12/31

MF = (12 × 124)/31

MF = 48 cm

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The area under the curve of a probability distribution is equal to 1. Hence, the correct answer is d. 1.

In probability theory, a probability distribution describes the likelihood of different outcomes or events. The area under the curve of a probability distribution represents the total probability of all possible outcomes. Since the total probability across all possible outcomes must equal 1 (which corresponds to 100% probability), the area under the curve of a probability distribution is always 1.

This means that if we were to calculate the total area under the curve, it would be equivalent to 100% or the entire probability space. This property holds true for all valid probability distributions and ensures that the probabilities assigned to all possible outcomes sum up to a complete and consistent whole.

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To test for a linear relationship in simple linear regression (SLR), we make an inference on the parameter "slope." A significant slope indicates a linear relationship between the independent and dependent variables.

The parameter we make inferences on in simple linear regression (SLR) to test for a linear relationship is the slope. The slope represents the change in the response variable for a one-unit increase in the predictor variable, and it indicates the strength and direction of the linear relationship between the two variables.
In statistics, simple linear regression is a linear regression model with explanatory variables. That is, it contains two sample points with one independent and one dependent variable (usually x and y coordinates in the Cartesian coordinate system) and shows the line as the function (a non-continuous line) that is the true value of the dependent variable. the variable is approximately a function of the independent variable. The adjective simply refers to the fact that different outcomes are associated with a different predictor.

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The independent t-test is most appropriate to determine if there is a significant difference between the means of two independent groups.

The specific test considered here is called analysis of variance (ANOVA) .

The independent t-test, also called the two sample t-test, independent-samples t-test or student's t-test, is an inferential statistical test that determines whether there is a statistically significant difference between the means in two unrelated groups.

The specific test considered here is called analysis of variance (ANOVA) and is a test of hypothesis that is appropriate to compare means of a continuous variable in two or more independent comparison groups.

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Answer:

ask your teacher

Step-by-step explanation:

Answer:

The solution not in slope intercept is -16. Slope intercept isn't working for me.

Step-by-step explanation:

Therefore, the slope of a line perpendicular to the given line is -1/2.

The given equation of the line is y = (4x + 3) / 2.

To find the slope of a line perpendicular to this line, we need to determine the negative reciprocal of the slope of the given line.

The slope-intercept form of a line is y = mx + b, where m represents the slope of the line.

Comparing the given equation y = (4x + 3) / 2 with the slope-intercept form, we can see that the slope of the given line is 4/2, which simplifies to 2.

The negative reciprocal of 2 is -1/2.

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To find the expected return on a $1 ticket, we need to calculate the total winnings and divide it by the number of tickets sold.

Let's calculate the expected return step by step: The grand prize is $3,000,000, and there is only one winner, so the contribution to the total winnings from the grand prize is $3,000,000. There are 3 runner-up prizes of $141,000 each, so the total contribution from the runner-up prizes is 3 * $141,000 = $423,000. Similarly, there are 8 third-place prizes of $68,000 each, so the total contribution from the third-place prizes is 8 * $68,000 = $544,000. Finally, there are 19 consolation prizes of $200 each, so the total contribution from the consolation prizes is 19 * $200 = $3,800.

Adding up all the contributions, we get a total winnings of $3,000,000 + $423,000 + $544,000 + $3,800 = $3,970,800. Since there are 35 million tickets sold for $1 each, the total amount collected is 35 million * $1 = $35 million.

To find the expected return on a $1 ticket, we divide the total winnings by the number of tickets sold: Expected Return = $3,970,800 / $35,000,000 ≈ $0.113 (rounded to the nearest cent). Therefore, the expected return on a $1 ticket is approximately $0.113.

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The answer are: a. Total outflows: $2,007,901, b. Total inflows: $827,080, c. Net present value: $824,179, d. Should the old issue be refunded with new debt? Yes

To determine whether the old bond issue should be refunded with new debt, we need to calculate the present value of total outflows, the present value of total inflows, and the net present value (NPV). Let's calculate each of these values step by step: Calculate the present value of total outflows. The total outflows consist of the call premium, underwriting cost on the old issue, and underwriting cost on the new issue. Since these costs are one-time payments, we can calculate their present value using the formula: PV = Cash Flow / (1 + r)^t, where PV is the present value, Cash Flow is the cash payment, r is the discount rate, and t is the time period.

Call premium on the old issue: PV_call = (7% of $22 million) / (1 + 0.1)^16, Underwriting cost on the old issue: PV_underwriting_old = $530,000 / (1 + 0.1)^16, Underwriting cost on the new issue: PV_underwriting_new = $680,000 / (1 + 0.1)^16. Total present value of outflows: PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. Calculate the present value of total inflows. The total inflows consist of the interest savings and the tax savings resulting from the interest expense deduction. Since these cash flows occur annually, we can calculate their present value using the formula: PV = CF * [1 - (1 + r)^(-t)] / r, where CF is the cash flow, r is the discount rate, and t is the time period.

Interest savings: CF_interest = (12% - 10%) * $22 million, Tax savings: CF_tax = (40% * interest expense * tax rate) * [1 - (1 + r)^(-t)] / r. Total present value of inflows: PV_inflows = CF_interest + CF_tax.  Calculate the net present value (NPV). NPV = PV_inflows - PV_outflows Determine whether the old issue should be refunded with new debt. If NPV is positive, it indicates that the present value of inflows exceeds the present value of outflows, meaning the company would benefit from refunding the old issue with new debt. If NPV is negative, it suggests that the company should not proceed with the refunding.

Now let's calculate these values: PV_call = (0.07 * $22,000,000) / (1 + 0.1)^16, PV_underwriting_old = $530,000 / (1 + 0.1)^16, PV_underwriting_new = $680,000 / (1 + 0.1)^16, PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. CF_interest = (0.12 - 0.1) * $22,000,000, CF_tax = (0.4 * interest expense * 0.4) * [1 - (1 + 0.1)^(-16)] / 0.1, PV_inflows = CF_interest + CF_tax. NPV = PV_inflows - PV_outflows.  If NPV is positive, the old issue should be refunded with new debt. If NPV is negative, it should not.

Performing the calculations (rounded to the nearest whole dollar): PV_call ≈ $1,708,085, PV_underwriting_old ≈ $130,892, PV_underwriting_new ≈ $168,924, PV_outflows ≈ $2,007,901,

CF_interest ≈ $440,000, CF_tax ≈ $387,080, PV_inflows ≈ $827,080.  NPV ≈ $824,179.  Since NPV is positive ($824,179), the net present value suggests that the old bond issue should be refunded with new debt.

Therefore, the answers are:

a. Total outflows: $2,007,901

b. Total inflows: $827,080

c. Net present value: $824,179

d. Should the old issue be refunded with new debt? Yes

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a) If you draw one card at random, the probability it is a two or a four is 4/52 or 1/13.

b) If you draw one card at random, the probability it is a spade or a King is 16/52 or 4/13.

c) If you draw two cards at random, the probability of drawing two hearts, with replacement is

(13/52) × (13/52) = 169/2704 or 1/16.

d) If you draw two cards at random, the probability of drawing two Aces, without replacement is (4/52) × (3/51) = 12/2652 or 1/221.

Solution details:

a) If you draw one card at random, the probability it is a two or a four is 4/52 or 1/13.

There are four 2s and four 4s in the deck.

Therefore, the probability of drawing one of these cards is 4/52.

Simplifying it, 1/13.

b) If you draw one card at random, the probability it is a spade or a King is 16/52 or 4/13.

There are four Kings in the deck, and there are 13 spades in the deck, including the King of spades.

There are four Kings, including the King of spades.

Four plus 13 equals 16 total cards.

The probability of drawing one of these cards is 16/52.

Simplifying it, 4/13.

c) If you draw two cards at random, the probability of drawing two hearts, with replacement is

(13/52) × (13/52) = 169/2704 or 1/16.

There are 13 hearts in the deck, and we’re assuming that you’re drawing with replacement.

As a result, the probability of drawing two hearts is (13/52) × (13/52).

Simplifying it, 169/2704.  

d) If you draw two cards at random, the probability of drawing two Aces, without replacement is (4/52) × (3/51) = 12/2652 or 1/221.

Since the first ace has a probability of 4/52, or 1/13, the probability of the second ace is 3/51.

This is since one card has been removed from the deck, making it 51 instead of 52.

Multiplying the two probabilities gives us (4/52) × (3/51) or 12/2652. Simplifying it, 1/221.

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Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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Answer:

D) (2, 14)

Step-by-step explanation:

substitute each coordinates into the inequality:

(0, 0)

y > 5x

0 > 5*0

0 > 0

this is false, 0 = 0.

(3, 12)

y > 5x

12 > 5 * 3

12 > 15

this is false, 12 < 15

(-2, -10)

y > 5x

-10 > 5 * -2

-10 > -10

this is false, -10 = -10

(2, 14)

y > 5x

14 > 5 * 2

14 > 10

this is true, 14 > 10

Answer:

It would be (0,0)

Step-by-step explanation:

Graph:

y > - 5x

Find the y-intercept.

Y-intercept: value of y when x = 0

Substitute 0 for x and solve for y.

y > - 5(0) y > - 5x.

Answer:=-36

Step-by-step explanation:

Formula:

\( \frac{5000}{2000} \)

\( = > \frac{5}{2} \)

\( = > 2.5\)

Hence, 5000 Pound is equal to 2.5 Ton.

Step-by-step explanation:

The unit of weight in the avoirdupois system equal to 2,000 pounds in the United States and 2,240 pounds in Britain. The metric ton used in most other countries is 1,000 kg, equivalent to 2,204.6 pounds.

Answer: 2 1/2

Step-by-step explanation:

The number of selfies deleted by Alex is 63.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, last week, Alex took 90 selfies and Vic took 75 selfies.

Let the number of selfies deleted by Vic be s.

Alex deleted three times as many selfies as Vic.

So, the number of selfies deleted by Alex =3s

Alex has half as many selfies as Vic.

Now, 90-3s = 1/2 (75-s)

180-6s=75-s

5s=105

s=21

The number of selfies deleted by Alex =3s

= 63

Therefore, the number of selfies deleted by Alex is 63.

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Answer:

Step-by-step explanation:

absolute value of |7 1/8| is 7 1/8

Answer:

340

Step-by-step explanation: 200 * .14 = 28 then 28*5= 140 then 140+200=340

Answer:

340 in 5 years

Step-by-step explanation:

I set it up as a fraction so I could find 14% of 200.

14/100 = x/200

Then  I cross multiplied

100x = 2800

Simplify

x=28

Twenty-eight is 14% of 200. Multiply 28 by 5.

28 x 5 =   140

Add 140 to 200

340

Answer:

6 times means 6 multiplied by

The sum of a number and 2 means x + 2

x = number

(2+x) × 6

In this scenario, we are given the following information: sample size (n) is 49, sample mean (P) is 50, sample standard deviation (s) is 7, null hypothesis (H₀) states that the population mean (μ) is greater than or equal to 52, and the alternative hypothesis (Hₐ) states that the population mean is less than 52.

The test statistic for this situation is the t-statistic, which measures the difference between the sample mean and the hypothesized population mean, taking into account the sample size and the sample standard deviation. It is used to assess the evidence against the null hypothesis. In this case, since the alternative hypothesis states that the population mean is less than 52, we have a left-tailed test. To calculate the t-statistic, we use the formula:

t = (P - μ) / (s / √n)

Plugging in the given values:

t = (50 - 52) / (7 / √49) = -2 / (7 / 7) = -2

Therefore, the test statistic for the provided information is -2. This value represents the standardized difference between the sample mean and the hypothesized population mean, accounting for the sample size and standard deviation. It indicates that the sample mean is 2 standard deviations below the hypothesized population mean of 52.

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Answer:Let's call the distance of the boat trip "d".

Since the whole trip took 5 hours, and Maxwell was driving for part of it, we know that:

d/40 + x/60 = 5

where x is the number of hours Maxwell spent driving.

We also know that the distance he drove is equal to the total distance minus the boat trip:

275 - d = x * 60

So we can substitute this into the first equation:

d/40 + (275 - d)/60 = 5

Expanding and simplifying this equation gives us:

6d = 1800

Finally, dividing both sides by 6 gives us:

d = 300

So the boat trip was 300 miles long.

Step-by-step explanation:

Let's call the distance of the boat trip "d".

Since the whole trip took 5 hours, and Maxwell was driving for part of it, we know that:

d/40 + x/60 = 5

where x is the number of hours Maxwell spent driving.

We also know that the distance he drove is equal to the total distance minus the boat trip:

275 - d = x * 60

So we can substitute this into the first equation:

d/40 + (275 - d)/60 = 5

Expanding and simplifying this equation gives us:

6d = 1800

Finally, dividing both sides by 6 gives us:

d = 300

So the boat trip was 300 miles long.

Answer:

See below

Step-by-step explanation:

A plane is a flat, two-dimensional surface that extends infinitely.

A point is a precise location on a plane.

A line is a one-dimensional figure that has only its length that extends infinitely.

Points are collinear if they all fall on the same straight line.

Points or lines are coplanar if they all fall on the same plane.

Line segments are a line with two endpoints on each end of the segment, which have a definite length.

Rays are lines that have one endpoint and the other end of the line extends infinitely with no endpoint.

Opposite rays are two rays that have a common endpoint that point in opposite directions and form a straight line.

Step-by-step explanation:

In an election, Candidate A received 75 votes and candidate B received 25 votes, after the first 100 votes were counted. Assume this ratio is maintained. If Candidate B received 750 votes, how many votes did Candidate A receive?

1) The value of Tom's IQR is, 5

2) The value of Susan IQR is, 3

Now, From the box plot,

Tom's IQR :

IQR = Q₃ - Q₁

Where, Q₃ = third quartile (value at the endpoint of the box)

And, Q₁ = 1st quartile (value at the beginning of the box)

Hence, WE get;

IQR = 9 - 4

IQR = 5

For Susan;

IQR = Q₃ - Q₁

Where, Q₃ = third quartile (value at the endpoint of the box)

Q₁ = 1st quartile (value at the beginning of the box)

Hence, We get;

IQR = 8 - 5

IQR = 3

Thus, We get;

1) The value of Tom's IQR is, 5

2) The value of Susan IQR is, 3

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Answer:

136

Step-by-step explanation:

In a factorial design, a line graph of the results is most likely to show an interaction when the lines are not parallel.

What is factorial design?

It is possible to investigate the main and interaction effects between two or more independent variables and on one or more outcome variables using the factorial design as a sort of research approach.

Here,

in a factorial design, a line graph of the results is most likely to show an interaction when the lines are both main effects and interactions are converging lines.

Hence, a line graph of the results is most likely to show an interaction when the lines are not parallel.

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The simplified forms of the given expressions are

From the question, we are to evaluate the given radical expressions

The given radical expressions are

\(\sqrt{40+9}\)

and

\(\frac{\sqrt[3]{125+3} }{2}\)

Evaluating \(\sqrt{40+9}\)

\(\sqrt{40+9}\)

= \(\sqrt{49}\)

= 7

Evaluating \(\frac{\sqrt[3]{125+3} }{2}\)

\(\frac{\sqrt[3]{125+3} }{2}\)

= \(\frac{\sqrt[3]{128} }{2}\)

= \(\frac{\sqrt[3]{64 \times 2} }{2}\)

= \(\frac{\sqrt[3]{64 } \times \sqrt[3]{2} }{2}\)

= \(\frac{4\times \sqrt[3]{2} }{2}\)

= \(\frac{4 }{2} \times \sqrt[3]{2}\)

= \(2\times \sqrt[3]{2}\)

= \(2\sqrt[3]{2}\)

Hence, the simplified forms of the given expressions are

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Answer:

He types 52 words per minute.

Step-by-step explanation:

156 by 3 = 52

Answer:

The unit rate of words per minute is 52.

Step-by-step explanation:

Divide the total amount of words (156) by the total amount of minutes (3) to find out how many words Drake types per minute;

156 ÷ 3 = 52 (words per minute)

Answer: 4 Miles in one hour.

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 hope this helps because its just 20/5

Answer:

\(a_{64} = -313\)

Step-by-step explanation:\(a_{64} = 2 -135\)

This is the Arithmetic Sequence Formula->  \(a_{n} = a_{1} + (n+1) d\)

1) The d represents your difference of the equation. You can find it by finding a pattern between the three numbers given, which is -5

2) Now that we've found our difference, we can plug it into this lovely sequence we have \(a_{64} = a_{1} + (64-1) -5\) (by the way, your n represents your term that you plug into the equation)

3) \(a_{64} = 2 + (64-1) -5\)  This also means that \(a_{1}\) is our first term, which is 2

4) Simplify \(a_{64} = 2 + (63) -5\) --> \(a_{64} = 2 +-315\)

5) \(a_{64} = -313\)

The formula is confusing at first, but it becomes easier once your learn the patterns!