in how many different ways can the letters of the word detail' be arranged in such a way that the vowels occupy only the odd positions?

Answer: 75

Step-by-step explanation: 7.20+7.80=15 then 15+60=75

Answer:

Division

Step-by-step explanation:

here's your process

=>. it is your equation 17b = 54

=> now divide 17 on both side

=> then we get 17b/17 = 54/17

=> hence , we get b = 54/17

=>now b is isolated by the method of division

hope it helps

Answer:

C and E

Step-by-step explanation:

simplify 2/1 and you get 2. simplify 4/2 and you also get 2

The answers are C And D

Answer:

4*10^7

Step-by-step explanation:

If it is a single digit then round up the number

7 represents the number of spaces the decimal travels to make the given number a single digit.

Answer:

Use colon method

Step-by-step explanation:

So it is more easy

The probability of randomly selecting the chair and the ranking member is 1/105 or approximately 0.0095.

There are 15 members of the Senate Committee on Homeland Security and Governmental Affairs, two of whom are selected to serve as the committee chair and ranking member. Each member is equally likely to be chosen for either of these positions.

To begin, we must first determine the total number of ways two members can be selected from a committee of 15. This is calculated using the combination formula:

nCr = (n!)/((r!)(n-r)!)where n = 15 and r = 2.

Thus,

nC2 = (15!)/((2!)(15-2)!)

nC2 = (15x14)/(2x1)nC2

= 105

Now we must determine the probability of selecting one member to be the committee chair and the other to be the ranking member.

This is calculated as follows: P = 1/105 or approximately 0.0095. Hence, the probability of randomly selecting the chair and ranking member is 1/105 or approximately 0.0095.

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Answer:

x=-1

Step-by-sx=-1tep explanation:

Answer:

first one:4/10

second one: 8/24

Step-by-step explanation:

i think this works but a hundred 100% sure though.

here you go hope its correct.

Answer:

220

Step-by-step explanation:

First you divide 15 by 2 then you take the answer and multiply the 1750 . Last but not least you divide the answer by 60 to get your answer

Therefore , the solution of the given problem of unitary method comes out to be total amount spent by Ria £129.58.

By multiplying the value about one unit by the quantity of units required, one can apply the unit technique to solve a problem. The unit procedure is used to separate a single entity integer from a given many, to put it simply. One pen, or 400 rupees, would be needed to purchase 40 needle. There might be a common way to verify this. only one nation. Anything has a unique feature. Algebra, grid logic, and its laminates and reverse are all identical terms used to describe mathematical analysis.

Here,

Given : Ria purchases 19 books for £6.82 apiece.

Thus,

Total cost of book = 19 * 6.82

=> 129.58

Therefore , the solution of the given problem of unitary method comes out to be total amount spent by Ria £129.58.

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Answer:

1/8

Step-by-step explanation:

circle divided into 8ths

only one pointer

so 1/8 chance.

pls mark brainly

The value of h from the given formula u = hg is u/g.

i.e h = u/g

A variable is any characteristic, number, or quantity that can be measured or counted.

Example:

x + 2 = y + 2

x and y are variables.

We are given a formula:

u = hg

We need to solve for h.

u = hg

Divide both sides by g.

u/g = h

h = u/g

Thus the value of h from the given formula u = hg is u/g.

i.e h = u/g

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Answer:

C

Step-by-step explanation:

Cos (angle) = Adjacent/Hypotenuse

Cos 20° = 12/x

Answer:

30

hope it helps

Answer:

x+50°=180°{alternate enterior angle}

x=180-50

x=130°

hope it helps ....

It took Andre and Lin 1.5 hours for them to meet.

Speed is the ratio of distance travelled to total time taken. Speed is given by:

Speed = distance/time

Let d₁ represent the distance covered by Andre at time t and d₂ represent the distance covered by Lin at time t.

Hence:

5 = d₁/t

d₁ = 5t

3 = d₂/t

d₂ = 3t

Andre and Lin are 12 miles apart, hence:

d₁ + d₂ = 12

5t + 3t = 12

8t = 12

t = 1.5 hours

It took Andre and Lin 1.5 hours for them to meet.

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The calculated value of the probability P(yellow) is 0.5 i.e. one half

From the question, we have the following parameters that can be used in our computation:

Sections = 2

Color = yellow, and green

Using the above as a guide, we have the following:

Yellow = 1

When the yellow section is selected, we have

P(yellow) = yellow/section

The required probability is

P(yellow) = 1/2

Evaluate

P(yellow) = 0.5

Hence, the value is 0.5

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To multiply a polynomial by a monomial, you must first identify the terms in the polynomial, as well as the factors in the monomial. Once you have identified the components, use the distributive property to multiply each term of the polynomial by the monomial. Then, combine like terms and simplify the resulting polynomial.

For example:

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Answer:

x=7 y=14

Step-by-step explanation:

2x-x=11-4

x=7

y-4=x+3

y-4=7+3

y=7+3+4

y=14

The closest solution to this total among the available possibilities is 0.68, indicating that the portfolio is likely to surpass its benchmark in three or fewer quarters over the course of a year.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms.

Here,

The probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is the sum of the probabilities of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters.

Since the probability of outperforming the benchmark in any quarter is 0.75, the probability of not outperforming the benchmark in a quarter is 1 - 0.75 = 0.25.

The probability of not outperforming the benchmark in exactly 0 quarters is 0.25⁰ = 1

The probability of not outperforming the benchmark in exactly 1 quarter is 0.25¹= 0.25

The probability of not outperforming the benchmark in exactly 2 quarters is 0.25² = 0.0625

The probability of not outperforming the benchmark in exactly 3 quarters is 0.25³ = 0.015625

So, the probability of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters is 1 - 0.25⁰, 1 - 0.25¹, 1 - 0.25², and 1 - 0.25³, respectively.

The sum of these probabilities is the probability of outperforming the benchmark in three or fewer quarters over the course of a year:

P(outperform in three or fewer quarters) = 1 - 0.25⁰ + 1 - 0.25¹ + 1 - 0.25² + 1 - 0.25³

This expression can be calculated to get an exact answer, but to get the closest answer to the options given, we can round off the intermediate results to 2 decimal places:

P(outperform in three or fewer quarters) = 1 + 0.75 + 0.94 + 0.98

The closest answer to this sum among the options given is 0.68, so the probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is closest to 0.68.

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Answer:

\(\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}\)

Step-by-step explanation:

Given

\(\frac{a^3b^{-2}}{ab^{-4}}\)

\(a\ne 0; b \ne 0\)

Required

Evaluate

\(\frac{a^3b^{-2}}{ab^{-4}}\)

Apply the following law of indices:

\(\frac{x^m}{x^n} = x^{m-n}\)

So, the expression becomes:

\(\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2-(-4)}\)

Remove brackets

\(\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2+4}\)

\(\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}\)

Answer:

D. a^3 b^4 / ab^2

Step-by-step explanation:

By applying repeated and independent measures concepts, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).

In a repeated-measures research study, the degree of freedom (df) is calculated by subtracting 1 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 1 = 11.

Whilst, in an independent-measures research study, the degree of freedom (df) is calculated by subtracting 2 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 2 = 12.

Therefore, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).

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An appropriate hypothesis test to determine whether scores of depression are different pre- and post-treatment would be the paired t-test.

The paired t-test is suitable in this scenario because it compares the mean scores of depression before and after the treatment within the same group of participants.

This test takes into account the paired nature of the data, where each participant is measured twice (pre- and post-treatment).

By conducting a paired t-test, the researchers can assess whether there is a statistically significant difference in depression scores before and after the treatment. This will help determine the effectiveness of the new treatment for depression.

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Answer:

39 ft²

Step-by-step explanation:

Surface area of square pyramid:

Surface area of square pyramid = lateral surface area+ base area

 s = 3 ft

 l = 5 ft

  \(\sf \boxed{\text {\bf Surface area of square pyramid = $2sl +s^2$ }}\)

       s - side of the base square

       l- slant height

      Surface area = 2*3*5 + 3*3

                            = 30 + 9

                            = 39 ft²

Answer:

a,bcb,a

Step-by-step explanation:

The equation v in terms of other variables is v = kr/2h

It is a variable which is expressed in terms of other variables involved in the formula.

Formulas are written so that a single variable, the subject of the formula is on the L.H.S. of the equation. Everything else goes on the right side of the equation. We evaluate the formula by substituting for the literal numbers on the right hand side.

2(vh) / k = r

by cross multiplication

2(vh) = kr

divide both sides by 2h

v = kr/2h

In conclusion, v in terms of other variables is  kr/2h

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The amount paid for meal is obtained as $18.19.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

Given that,

The price of the meal is $20.

The percent discount is 15%.

And, the percent tax is 7%.

Now, the final amount paid can be calculated as follows,

(20 - 15% of 20) + 7% of (20 - 15% of 20)

= (20 - 15/100 × 20) + 7/100 × (20 - 15/100 × 20)

= 17 + 7/100 × 17

= 17 + 1.19

= 18.19

Hence, the amount paid by the father for meal is $18.19.

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Answer:

I would usually do a guesstimate of this. For example, if I had to plot 0.5 somewhere, I would do it between the 0 and the 1 because the number on the left is a 0, and it's halfway to reaching 1.

Step-by-step explanation:

Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960