Simplify. 1.5m ^7(-4m ^5)^2


A.-6m^14

B.24m^14

C.12m^17

D.24m^17

The probability of having to try three or more times is = 431/46656.

To find the probability of having to try three or more times to get all three dice to show the same number, we need to consider the probabilities of different outcomes.

On the first roll, all three dice can show any number with equal probability, so the probability of not getting a match on the first roll is 1.

On the second roll, we want to calculate the probability of not getting a match again. There are two cases to consider:

Since we want to calculate the probability of having to try three or more times, we are interested in the event where we do not get a match on the first two rolls.

Therefore, the probability of this event is \((215/216)^2\) = 46225/46656.

Thus, the probability of having to try three or more times is 1 - 46225/46656

= 431/46656.

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Answer:

1. Numerator: 8                2. Numerator: 1

Denominator: 8                    Denominator: 6

Fraction: 8/8                        Fraction: 1/6

Step-by-step explanation:

A numerator is the top part of a fraction, and in this case is represented by the shaded parts. for example, question 2 has 1 out of the 6 parts shaded, this would make 1 the top number.

A denominator is the bottom part of the fraction and is represented by how many parts of there in all. for example, question 2 has 6 parts in all, this would make 6 the bottom number.

The statement that best describes the Central Limit Theorem is (a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.

The Central Limit Theorem (CLT) states that if repeated random samples is taken from a population with a finite mean and standard deviation, then the distribution of the sample means will approach a normal distribution, even if the original population is not normally distributed.

The larger the sample size, the more closely the sample means will approximate a normal distribution.

which means that, for example, if we take multiple samples of size 100 from a population and calculate the average of each sample, the distribution of those sample means will be approximately normally distributed, regardless of the original shape of the population.

The given question is incomplete , the complete question is

Which best describes what the Central Limit Theorem states ?

(a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.

(b) All distributions have the same mean.

(c) The distribution of standard deviations of random samples pulled from a population will be normally distributed if the sample size is large enough.

(d) All distributions are close enough to normally distributed to use the normal distribution as a approximation.

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Answer:

200 ml

Step-by-step explanation:

Orange squash is mixed with water in the ratio 1 : 3. If you use 600 ml of water, how much squash do you need?

1 is to 3 as x is to 600

1 is 1/3 of 3 so x should be 1/3 of 600

1/3 of 600 = 200

use 200 ml squash to keep the ratio the same.

The three greatest consecutive prime numbers where the sum is a multiple of 5 are 3, 5, and 7.

We have,

To find the three consecutive prime numbers with a sum that is a multiple of 5 and each less than 100, start by listing the prime numbers less than 100:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Check each combination:

(2, 3, 5): Sum = 2 + 3 + 5 = 10 (which is a multiple of 5)

(3, 5, 7): Sum = 3 + 5 + 7 = 15 (which is a multiple of 5)

(5, 7, 11): Sum = 5 + 7 + 11 = 23 (not a multiple of 5)

(7, 11, 13): Sum = 7 + 11 + 13 = 31 (not a multiple of 5)

(11, 13, 17): Sum = 11 + 13 + 17 = 41 (not a multiple of 5)

(13, 17, 19): Sum = 13 + 17 + 19 = 49 (which is not a multiple of 5)

(17, 19, 23): Sum = 17 + 19 + 23 = 59 (not a multiple of 5)

(19, 23, 29): Sum = 19 + 23 + 29 = 71 (not a multiple of 5)

(23, 29, 31): Sum = 23 + 29 + 31 = 83 (not a multiple of 5)

(29, 31, 37): Sum = 29 + 31 + 37 = 97 (not a multiple of 5)

(31, 37, 41): Sum = 31 + 37 + 41 = 109 (which is not a multiple of 5)

(37, 41, 43): Sum = 37 + 41 + 43 = 121 (which is not a multiple of 5)

(41, 43, 47): Sum = 41 + 43 + 47 = 131 (not a multiple of 5)

(43, 47, 53): Sum = 43 + 47 + 53 = 143 (which is not a multiple of 5)

(47, 53, 59): Sum = 47 + 53 + 59 = 159 (which is not a multiple of 5)

(53, 59, 61): Sum = 53 + 59 + 61 = 173 (not a multiple of 5)

(59, 61, 67): Sum = 59 + 61 + 67 = 187 (not a multiple of 5)

(61, 67, 71): Sum = 61 + 67 + 71 = 199 (not a multiple of 5)

(67, 71, 73): Sum = 67 + 71 + 73 = 211 (not a multiple of 5)

(71, 73, 79): Sum = 71 + 73 + 79 = 223 (not a multiple of 5)

(73, 79, 83): Sum = 73 + 79 + 83 = 235 (which is a multiple of 5)

(79, 83, 89): Sum = 79 + 83 + 89 = 251 (not a multiple of 5)

(83, 89, 97): Sum = 83 + 89 + 97 = 269 (not a multiple of 5)

Thus,

The three greatest consecutive prime numbers where the sum is a multiple of 5 are 3, 5, and 7.

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In conclusion Shaniyah has $159.25 for food and gas.

How to find?

First, we need to find how much Shaniyah spends on internet service and cell phone bill:

Amount spent on internet service = 21% of $325 = 0.21 x $325 = $68.25

Amount spent on cell phone bill = 3/10 of $325 = (3/10) x $325 = $97.50

The total amount spent on internet service and cell phone bill is $68.25 + $97.50 = $165.75

To find how much Shaniyah has left for food and gas, we subtract the total amount spent on internet service and cell phone bill from the total amount spent on bills:

Amount spent on food and gas = Total amount spent on bills - Amount spent on internet service and cell phone bill

Amount spent on food and gas = $325 - $165.75

Amount spent on food and gas = $159.25

Therefore, Shaniyah has $159.25 for food and gas.

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Answer:

The answer is -3x + 6y = 36

Step-by-step explanation:

Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.

angle M and G are both 90° , this means they are equal.

angle KVM = BVG

therefore angle K = angle B

Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG

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Answer:

Step-by-step explanation:

What number multiplied by itself is equal to the product of 6 and 150?

30

30 x 30 = 900

6 * 150 = 900

Given,

The radius of the circle is 5 meters.

Required

The area of the circle shaped swimming pool.

The area of the circle is calculated by using the formula,

Substituting the values then,

Hence, the area of the swimming pool is 78.5 square meters.

Answer:

Step-by-step explanation: The Hebrew people were seeking more land and resources.

Answer:

The Hebrew people were seeking more land and recources

Step-by-step explanation:

Answer:

4.104

Step-by-step explanation:

Volume of any prism = Area of cross section x height.

so, volume = 0.6 x 1.9 x 3.6 = 4.104

answer : 31/40 = 93/120

5/6 = 100/120

The type of correlation founded in the study by assessing the work and home life satisfaction measure identically at two occasions, a year apart, is a cross-sectional correlation.

Cross-sectional correlation is a non-experimental research design that uses data collected from a single time point. It is used to generate a static portrait of research variables. As opposed to serial correlation which is a correlation of one variable at different times, cross- sectional correlation is a correlation of two variables at the same time.

In the given study, professor measured the work satisfaction and home-life satisfaction at one time point and repeated it after a year at the second time point. She found a strong correlation between variable at both time points. Hence, it is cross-sectional correlation.

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Answer:

19 feet long

Step-by-step explanation:

The rug was 19 feet long that Carlos bought.

The same attribute is expressed using a unit conversion but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

Given the length of the ug is 6 + 1/3 yards. Since we know that 1 yard is equal to 3 feet. hence,

1 yard = 3 feet

\(6\frac{1}{3}\) yards =  3*  \(6\frac{1}{3}\) = 18 + 1 = 19

Therefore, The length of the rug Carlos bought was 19 feet.

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Answer:

to find the rate of fencing, you should find the perimeter of the rectangle.

2(l+b)

2(155+125)

2*180

360m

cost of fencing = 360*10

= Rs 3600

now to find the cost of fielding, find the area

(l*b)

155*125

19375 square mtr

cost of fielding = 19375*15

= Rs 290625

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Not gonna lie, I used Desmos Graghing Calculator for this. Hopefully it's right, haha

Answer:

See image.

Step-by-step explanation:

Each value is grouped into one of three ranges, 0-15, 15-30, 30-45, once we know how many values are in each group, we can graph it.

3 and 10 fall in 0-15, so thats 2 values
17, 23, and 28 fall in 15-30, so thats 3 values,

33 and 42 fall in 30-45, so thats 2 values.

"The school sold 8 adult tickets and 5 child tickets for a total of $104", we can express it as follows

"On the second day they sold 4 adult tickets and 6 child tickets for a total of $80", we can express it as follows

These two equations form a linear system of equations, which we can solve by multiply the second equation by -2

Then, we combine the equations

Now, we find x

According to this solution, each adult ticket costs $8 and each child ticket costs $8.

If they sold 10 adult tickets and 4 child tickets on the third day, then they made

If they sold 22 adult tickets and 8 child tickets on the last day, then they made

In the bag, there are 30 oranges out of a total of 70 apples and oranges.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, In a bag of apples and oranges, the ratio of apples to oranges

is 4 : 3 and the total number of apples and oranges is 70.

Therefore, The number of oranges in the bag is,

= {3/(4 + 3)}×70.

= (3/7)×70.

= 3×10.

= 30 oranges.

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Answer:

Of your choices, 87.5

Step-by-step explanation:

There may be a formula for figuring this out, but here's what I know how to do to solve this:

First we'll organize the data in ascending order:

3.9, 4.5, 5.7, 6.2, 7.4, 8.1, 8.4, 9.2  

The median is (6.2 + 7.4)/2 = 6.8

The first quartile is (4.5 + 5.7)/2 = 5.1

The third quartile is (8.1 + 8.4)/2 = 8.25

So the 75th percentile is 8.25

Since 9.2 is higher than that, I'd choose 87.5

Mildred's pie scored at the 87.5 percentile.

'A percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall.'

According to the given problem,

Organizing the data in ascending order:

3.9 < 4.5 < 5.7 < 6.2 < 7.4 < 8.1 < 8.4 < 9.2  

Median of the given data = \(\frac{6.2+7.4}{2}\)

                                            = 6.8

First quartile = (4.5 + 5.7)/2

                      = 5.1

Third quartile = (8.1 + 8.4)/2

                       = 8.25

The third quartile is the 75th percentile,

⇒ 75th percentile = 8.25

Since, 9.2 > 8.25 , Mildred's pie scored at 87.5 percentile.

Hence, we can conclude, Mildred's pie scored at the 87.5 percentile.

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Answer: 14:35 hrs

Step-by-step explanation:

Missing time that Ron left was 07:00 hrs  

Ron left the house at 07:00 hrs. If he arrived back to the house 7 hours and 35 minutes later, you can find out what time he arrived by simply adding the time he left to the time he stayed outside:

= 7 + 7hrs 35 minutes

= 14 hrs 35 minutes

= 14:35 hrs

Answer: 1.11

Step-by-step explanation:

To find the range of the data set all you have to do is subtract the higher number with the lowest number, so in this math problem, we will take 1.75- 0.64 and we get 1.11 :]

Dr. Brown used a randomized controlled trial (RCT) research design.

A randomized controlled trial (RCT) is a type of scientific experiment in which two or more groups of patients are subjected to various clinical treatments, interventions, or exposures. In an RCT, subjects are randomly allocated to either a treatment group or a control group, and the treatment group receives the new intervention being tested, while the control group receives the standard intervention or placebo.

Therefore, Dr. Brown used a randomized controlled trial (RCT) research design in which participants were randomly assigned to either the treatment condition or a comparison treatment condition, and their symptoms were measured before treatment, during treatment, and now 3-months post-treatment.

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Yes, if a figure can be rotated 360° to be mapped onto itself, it is considered to have rotational symmetry.

This is because a 360° rotation means that the figure will return to its original position, making it symmetrical. Rotational symmetry is a type of symmetry where a figure can be rotated about a central point and still look the same. The degree of rotational symmetry depends on the number of times a figure can be rotated to match its original appearance. Therefore, if a figure can be rotated 360° and maintain its original appearance, it is said to have rotational symmetry of degree 1. This is true regardless of the size, orientation, or position of the figure. Yes, a figure that can be rotated 360° to be mapped onto itself is considered to have rotational symmetry. Rotational symmetry occurs when an object can be rotated around a central point and still appear the same as its original position. In the case of a 360° rotation, the figure returns to its initial configuration, confirming its rotational symmetry.

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The sequence with the given nth term is converges, the limit of the sequence is 8.

To determine the convergence or divergence of the sequence, we can use the limit test:

First, we find the limit of the nth term:

lim n→∞ (4n^4 / (8^n)) = lim n→∞ [(4/8^n) * n^4]

Since the exponential term dominates as n goes to infinity, we can apply L'Hopital's rule to simplify:

lim n→∞ [(4/8^n) * n^4] = lim n→∞ [(4 * n^4) / (8^n)] = lim n→∞ [(16n^3) / (8^n * ln 8)]

Again, the exponential term dominates as n goes to infinity, so the limit approaches 0. Therefore, by the limit test, the series converges.

To find the limit, we can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

where a is the first term and r is the common ratio. In this case, a = 4 and r = 1/2, so

S = 4 / (1 - 1/2) = 8

Therefore, the limit of the sequence is 8.

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Answer:

17x^3

Step-by-step explanation:

8-7+16=17 keep the like terms

An annual payment is found approximately $617.34. The correct option is e.. $617.34.

To find the size of your payments, you can use the formula for calculating the equal installments on a loan.

First, calculate the annual payment by dividing the borrowed amount ($2,000) by the present value factor of an annuity due with 4 periods at a 9% interest rate.

Using a financial calculator or spreadsheet, the present value factor of an annuity due with 4 periods at 9% interest rate is 3.2403.

Dividing $2,000 by 3.2403 gives us an annual payment of approximately $617.34.
Therefore, the correct answer is e. $617.34.

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The amount of Chemical  B needed is 1.6 g.

This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.

The quantity of Chemical B is plotted against the quantity of  Chemical A.

Chemical B  is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.

Therefore, on the graph, the line passing through the origin of the graph shows that when  1.4 g of Chemical A is used  1.6 g of Chemical B is needed.

Chemical B  is plotted on the vertical axis using the scale of 1  cm to represent 2 units.

To get the amount of Chemical B is  on vertical axis =  2 grams

                                                                                             5 boxes

                                                                                       =0.4 g

Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).

To get the amount of Chemical B is  on vertical axis = amount of Chemical B per box * the number of line (boxes).

To get the amount of Chemical B is  on vertical axis = 0.4 g * 4 lines (boxes)

                                                                                        = 1.6 g

Hence The amount of Chemical  B needed is 1.6 g.

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The x intercept of f(x) is same as x intercept of g(x) and the statements the y intercept of f(x) is same as y intercept of g(x) are true.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The function  f (x) = x² -7x

when we translate the graph f(x) to g(x) it can be seen that g(x) is a translation of f(x) by left and upwards.

So the statements the x intercept of f(x) is same as x intercept of g(x) and the statements the y intercept of f(x) is same as y intercept of g(x)

Hence, the x intercept of f(x) is same as x intercept of g(x) and the statements the y intercept of f(x) is same as y intercept of g(x) are true.

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