Factorise 9a3 b + ba2

Answer:

72%

Step-by-step explanation:

Answer:105

explanation: -45

+150

_ ___

105

Answer:

Step-by-step explanation:

x + 159 = 180

x = 21

Answer:

x + 159 = 180

x = 21

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

18 × 2 = 36

Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg

Answer:

0.45 and 0.5

Step-by-step explanation:

plato/edmentum

The 90% confidence interval for the true proportion of club members who use compost is given as (0.4, 0.507)

This refers to the probability of a parameter falling across a set of values around the mean.

To find the 90% confidence interval,

Probability=  45%= 0.45

Level of significance= 90%

1-0.90

= 0.10

[tex]z\alpha /2 = z(0.1/2) = 0.05[/tex]

The value of 0.05

P0.05= 1.645

P ± 1.645 x [tex]\sqrt{P0-p/n}[/tex]

0.45 ± 1.645 * [tex]\sqrt{0.48 (1-0.45)/200}[/tex]

0.45 ± 1.645 * 0.035178

0.45 ± 0.0578

0.45 - 0.0578, 0.45 + 0.0578

(0.4, 0.507)

Read more about confidence intervals here:

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Answer: 14 and 3.5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

$33.01

Step-by-step explanation:

Answer:

33.01

Step-by-step explanation:

Answer:

Cystic fibrosis probability is remote in current case.

Step-by-step explanation:

Cystic fibrosis is the disease in which patient suffers lung and intestine clog due to mucus. There is chance of cystic fibrosis in children when one of parent has history of such a disease. If one parent has defective genes and other parent has healthy genes then there is very remote chances of this disease in child.

Answer:

A) 0.8131 ≈ 0.81

B) 0.6322 ≈ 0.63

C)  0.7639 ≈ 0.77

Step-by-step explanation:

A)

Total number of  units

= 55 + 32 + 17 + 3

 = 107

hence the probability that the failure involves a gas leak

= ( 55 + 32 ) / 107

= 0.8131

B) probability that there is evidence of electrical failure given tat there is a gas leak

P ( A / B ) = [tex]\frac{P(A n B)}{P(B)}[/tex]

P( A∩B ) = 55/107 = 0.5140

P ( B ) = ( 55 + 32 ) / 107 = 0.8131

hence P ( A / B ) = 0.5140 / 0.8131 = 0.6322

A = failure due to electrical

B = failure due to gas leak

C)  Probability of a gas leak given that there is evidence of electrical failure

P ( B / A ) =  [tex]\frac{P(BnA)}{P(A)}[/tex]

P ( B ∩ A ) = 0.5140

P( A ) = ( 55 + 17 ) / 107  = 0.6729

hence P ( B / A ) = 0.5140 / 0.6729 = 0.7639

Answer:

5:6

Step-by-step explanation:

since you are dividing it by 4

Answer:

Yes. Felix is correct.

Step-by-step explanation:

Find out how much ml does a can of lemonade have, I would assume its 330ml since I searched up the ml of a lemonade can.

Find out how much cans of lemonade there are in 2 packs of 8.

2 packs = 8 x 2 = 16 cans of lemonade

Now find out how much ml 16 lemonade cans equal to.

1 can of lemonade = 330ml

16 cans of lemonade = 330 x 16 = 5280ml

Now let's find 5 bottles of 1 litre.

1 litre x 5 = 5 litres.

5280 = 5 litres and 280ml

So Felix is correct about 2 packs of 8 cans is more than 5 bottles of 1 litre.

Answer:

its C. all of the sea urchin in the entire ovean is the most likely to be the population of interest

The population of interest will most likely be option B. all of the sea urchins near the plant.

The term 'population of interest' refers to the group or number from which inference is made or done for research purposes. And from this group, the researcher will try to draw conclusions from his/her study.

For the marine biologists to determine the extent of the factory's effect on the sea urchins, they would consider or take the sea urchins near the factory population as the population of interest. Thus, the correct answer is option B.

Learn more about population of interest here:

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Answer:

PV= $72,866.33

Step-by-step explanation:

Giving the following information:

Interest rate= 6% compounded semiannually

Number of periods= 26*2= 52 semesters

Future value= 338,893

To calculate the initial investment (PV), we need to use the following formula:

PV= FV/(1+i)^n

i= 0.06/2= 0.03

PV= 338,893 / (1.03^52)

PV= $72,866.33

Answer:

The correct answer is $72,866.33

Answer:

$65.60

Step-by-step explanation:

4×16.40 = 4×(16+0.40) = (4×16) + (4×0.40) = 64 + 1.60 = 65.60

Answer:

42

Step-by-step explanation:

Answer:

From what I know the answer is no

Step-by-step explanation:

A quadrilateral  is a shape with four equal sides, the sides on a trapezoid are not equal therefore, its not a  quadrilateral .

Answer:

True

Step-by-step explanation:

     A quadrilateral is any shape with four sides. A trapezoid does have four sides, and therefore is a quadrilateral. The difference between a trapezoid and a "regular quadrilateral" is a trapezoid only has one pair of parallel sides, why a quadrilateral like a square or rectangle has two pairs.

Have a nice day! - I know that this is late, but this problem popped up on my dashboard and I thought I would answer :)

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

La ética es una rama de la filosofía que se ocupa de la reflexión crítica sobre las acciones de los hombres. En un sentido general, la ética busca establecer los criterios para juzgar si una acción puede calificarse de correcta o incorrecta, y para evaluar los motivos y consecuencias de dicha acción. Las cuestiones éticas también juegan un papel importante en la política, los negocios y la medicina, y en campos de la ciencia y el estudio como la historia, la biología y la sociología, la ética de la profesión es ocasionalmente un tema de discusión.

Así, la ética implica una evaluación de las acciones de las personas, calificándolas como correctas o incorrectas a los ojos de la sociedad. De esta manera, influye en la forma en que las personas realizan o dejan de realizar una determinada acción, ya que estas consideran sus consecuencias positivas o negativas al momento de realizarla.  

Answer:

In the image below

Step-by-step explanation:

(Ooo yay 2-column proofs are fun)

Answer: 1720

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I think letter C the die is consisting of 6 number 1,2,3,4,5,6 and the coin H,T. The probability of tossing a coin are only two while rolling a die has six probability that it will land either three or fou.r

Step-by-step explanation:

3rd one is the answer

-2x+1

Answer:

f(x) = 2x + 1

Step-by-step explanation:

You can plug in the value to each one and see if the function is true. The only one in which the function is true is f(x) = 2x + 1, so the answer is 2x + 1.

Answer:

12.

Step-by-step explanation:

This is how to round 12.36 to the nearest whole number. In other words, this is how to round 12.36 to the nearest integer.

12.36 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 12

Fractional Part: 36

Our goal is to round it so we only have an integer part using the following rules:

If the first digit in the fractional part of 12.36 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 12.36 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 3 and 3 is less than 5. Therefore, we simply remove the fractional part to get 12.36 rounded to the nearest whole number as:

12

Answer:

3/4

Step-by-step explanation:

3 divided by 4

Answer:

[tex]\mathbf{ \sqrt{\dfrac{15.7}{4} + \dfrac{10.6}{3}} }[/tex]

Step-by-step explanation:

Given that:

[tex]\overline x_1 =[/tex] the average diameter of 4 randomly select sequoia trunk from giant trees

[tex]\overline{x_2}[/tex] = the average diameter of 3 randomly selected trunk in California trees.

Thus;

sample size [tex]\mathbf{n_1 = 4 \ \ \& \ \ n_2 = 3}[/tex]

Variance:

[tex]\mathbf{\sigma_1^2 = 15.7 }[/tex]

[tex]\mathbf{\sigma_2^2 = 10.6 }[/tex]

Recall that:

[tex]\mathbf {( \overline x_1 - \overline x_2) \sim Normal \Big ( \mu_1 -\mu_2 \ , \ \dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_12^2}{n_2} \Big )}[/tex]

[tex]\mathbf{Mean ( \overline x_1 - \overline x_2) = \mu_1 - \mu_2}[/tex]

Therefore:

The standard deviation [tex]\mathbf{ \overline x_1 - \overline x_2 = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_2^2}{n_2} } }[/tex]

[tex]\mathbf{ \overline x_1 - \overline x_2 = \sqrt{\dfrac{15.7}{4} + \dfrac{10.6}{3}} }[/tex]

The standard deviation of the sampling distribution of the difference in the sample means is 9.95

The given parameters are:

For a normal distribution we have:

[tex]\bar x_1 - \bar x_2 = \sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2}}[/tex]

So, the equation becomes

[tex]\bar x_1 - \bar x_2 = \sqrt{\frac{15.7^2}{4} +\frac{10.6^2}{3}}[/tex]

Evaluate the exponents

[tex]\bar x_1 - \bar x_2 = \sqrt{\frac{246.49}{4} +\frac{112.36}{3}}[/tex]

[tex]\bar x_1 - \bar x_2 = \sqrt{61.62+37.45}[/tex]

Evaluate the sums

[tex]\bar x_1 - \bar x_2 = \sqrt{99.07}[/tex]

Evaluate the square roots

[tex]\bar x_1 - \bar x_2 = 9.95[/tex]

Hence, the standard deviation of the sampling distribution of the difference in the sample means is 9.95

Read more about sampling distribution at:

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Answer:

61.16667 ; (58.958, 63.375)

Step-by-step explanation:

Given the data :

72,51, 67, 68, 61, 69, 58, 56, 60, 56, 66, 61, 60, 59, 59, 54, 58, 53, 68, 63, 57, 62, 63, 64, 56, 62, 58, 67, 57, 70

Standard deviation, σ = 5.3

Sample size, n = 30

The point estimate of the population mean:

Mean, m = Σx/n

Σx = 1835 ; n = 30

m = 1835 / 30

m = 61.16667

Confidence interval :

m ± Tn-1,α/2 * σ/sqrt(n)

61.16667 ± T30-1,0.03/2 * 5.3/sqrt(30)

61.16667 ± T29,0.015 * (5.3/sqrt(30))

61.16667 ± 2.282175 * (0.9676431)

Lower bound = 61.16667 - 2.20833 = 58.95834

Upper bound = 61.16667 + 2.20833 = 63.375

(58.958, 63.375)

Answer:

$1,420.11

Step-by-step explanation:

I just took the test and got it right

Cassidy's approximate monthly payment is $1420.11 if Cassidy is planning to obtain a loan from her bank for $210,000 for a new home option (D) is correct.

It is defined as the systematic way of representing of loan payments according to the time in which the principal amount and interest are mentioned in a list manner

It is given that:

Cassidy is planning to obtain a loan from her bank for $210,000 for a new home.

A fixed annual interest rate of 2.7% compounded monthly for 15 years.

The formula is:

[tex]P=\rm \dfrac{Fp(i)}{1-(1+i)^{-1}}[/tex]

Plug all the values in the above formula:

[tex]P=\rm \dfrac{210000(2.7\%/12)}{1-(1+(2.7\%/12))^{-15\times12}}[/tex]

After calculating:

P = $1420.11

Thus, Cassidy's approximate monthly payment is $1420.11 if Cassidy is planning to obtain a loan from her bank for $210,000 for a new home.

Learn more about the amortization schedule here:

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Answer: The project is 7/8 painted.

Step-by-step explanation: Add 1/8 to 3/4 for the total.

Use the least common denominator, /8

3/4 is equivalent to 6/8.

6/8 + 1/8 = 7/8

Step-by-step explanation: To find how much of the wall Maya painted, we will add the two fractions. Let's do it step-by-step.

1. These fractions have unlike denominators, to make them alike, we have to find the LCD (Least Common Denominator).

3/4 = 6/8

1/8 = 1/8

Note: What you did to the bottom, you do to the top.

1a. I multiplied 2 by 3 and 4 to get 6/8.

1b. I multiplied 1 by 1 and 8 to get 1/8.

2. Since we have like denominators, we can add!

[tex]Solve:\frac{6}{8} +\frac{1}{8} = \frac{7}{8}[/tex]

Therefore, your answer is 7/8. The fraction don't need to be reduced to lowest terms.

Answer:

bruno

Step-by-step explanation:

1+2+1+2+1+2+5+1+6+5+1+6+5+1+6=45