If there are 4 Democrats and 3 Republicans on a committee, what is the probability that a Democrat will be the chair
of the committee and a Republican will be the alternate? Assume that the chair and the alternate are chosen
randomly. Round the answer to the nearest hundredth.
A.0.10 B.0.20 c.0.29 d.0.58

Answer:

b and d

Step-by-step explanation:

edge 2021

If the first term (a) is 4 and the common ratio (r) is 0.9, then the sequence diverges. Then the correct option is D.

Suppose the initial term of a geometric sequence is a

and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

a, ar, ar², ar³, ...

The sequence is given below.

[tex]\rm a_n = 4 (0.9)^n[/tex]

Then the sum of the sequence will be given as

The first term (a) is 4. And the common ratio (r) is 0.9.

Then we get

[tex]\rm S_n = \dfrac{a (1 - r ^n)}{ (1 - r)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{ (1 - 0.9)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{0.1}\\\\\rm S_n = 40 (1 - 0.9^n)[/tex]

For n = 1, we have

S₁ = 40 (1 - 0.9)

S₁ = 40 x 0.1

S₁ = 4

For n = 2, we have

S₂ = 40 (1 - 0.9²)

S₂ = 40 x 0.19

S₂ = 7.6

For n = 3, we have

S₃ = 40 (1 - 0.9³)

S₃ = 40 x 0.271

S₃ = 10.84

If the common ratio is less than one then the sequence will diverge.

Learn more about geometric sequence here:

https://brainly.com/question/2735005

#SPJ2

Answer:

192 markers

Step-by-step explanation:

if 8 = 4% then 2=1%

so we can assume there are 200markers in the package.

8-200= 192 markers

Answer:

Option D is the correct answer

Hello there!!

The answer would be D. The symbol you see, [tex]\geq[/tex], means 'greater than or equal to'. This correctly fits the wording - Margo must sell AT LEAST 38 tubs. So the lowest number she can sell is 38. And that means the answer is D.

I hope this helps!

Answer:

im assuming that we are solving for g. i got 8x^2-10x-3 over x

Step-by-step explanation:

1. gx^2=8x2−10x−3

then u divide both sides by x which gets u gx over x = 8x^2-10x-3 over x

i hope that makes sense and helps!

Answer:

n = 6

Step-by-step explanation:

Given the following data;

Sum of interior angles, S = 720°

Mathematically, the sum of the interior angles in a regular polygon is given by the formula;

S = 180(n - 2)

Where;

n is the number of sides.

S is the sim of the interior angles

720 = 180(n - 2)

720 = 180n - 360

180n = 720 + 360

180n = 1080

n = 6

Answer:

im pretty sure its 4! if not 6!

Answer:

−4−(3)(0)−4−(3)(0)

=−8

Answer:

-2 and 1/3

Step-by-step explanation:

-4+-3+0+-4+-3+0 = -14

6 numbers

-14/6 = -2 1/3

Answer:X=(-2,3) or X= (0,0)

Answer:

C) 0.55...

Step-by-step explanation:

Answer:

F) 11

Step-by-step explanation:

We know that she worked 18 hours, and earned $139.

Let's just say that she spent x hours baby-sitting.

If she makes $5 per hour, the total amount of money she earned from baby-sitting would be 5x.

If she spent x hours baby-sitting, that would mean that she spent 18-x hours giving music lessons.

So, the total amount of money she earned from music lessons would be 12(18-x).

Now we can plug this into an equation.

5x + 12(18-x) = 139.

5x + 216 - 12x = 139.

5x - 12x = -77

-7x = -77

x = 11.

This means that she spent 11 hours baby-sitting.

Hope this helps!

Answer: The correct choice is letter C.

Step-by-step explanation:

Cosine = adjacent/hypotenuse

In this triangle, you are looking for angle degree of cos X.

When finding an angle degree, you must use the inverse of whatever trig ratio you are using. In this case, you would use [tex]cos^{-1}[/tex].

The adjacent side from x is 12 and the hypotenuse is 15.

So you form your trig ratio which is your answer.

[tex]cos^{-1}[/tex] [tex]\frac{12}{15}[/tex] = 0.80

Answer:

27.3 mi2, the first option

Step-by-step explanation:

Area of a triangle is [tex]\frac{1}{2}[/tex] x base x height

Length of the base is 9.1mi and height is 6mi.

So, the Area would be:-

[tex]\frac{1}{2}[/tex] x 9.1 x 6

[tex]\frac{1}{2}[/tex] x 54.6

[tex]\frac{54.6}{2}[/tex]

= 27.3 mi2

Answer:

The quotient of 3/5 and 2/3 is 9/10 in fraction and 0.9 in decimal.

Answer:

9/10

Step-by-step explanation:

(3/5)/(2/3)=(3/5)(3/2)=9/10

Answer:

Debit

Step-by-step explanation:

Assets and expenses have natural debit balances. This means positive values for assets and expenses are debited and negative balances are credited. For example, upon the receipt of $1,000 cash, a journal entry would include a debit of $1,000 to the cash account in the balance sheet, because cash is increasing.

Answer:

debit

Step-by-step explanation:

Answer:

Mean: 12.166

Median: 14

Step-by-step explanation:

Answer:

mean: 73 ÷ 6 (amount of numbers in the list) = 12.166

median (middle number): 14

Step-by-step explanation:

to find the mean (average) you add all the numbers in the list and divide by the numbers there are (6 in the above problem)

2+7+13+15+17+18 = 73÷6 = 12.16

Answer:

hello

Step-by-step explanation:

i think it is modelling

hope it helps

have a nice day

I am pretty sure it's modeling!

Answer:

170

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Assume:

[tex]\pi = 0.06[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

What is the smallest sample size required to obtain the desired margin of error?

This is n for which M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.645\sqrt{\frac{0.06*0.94}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.645\sqrt{0.06*0.94}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.06*0.94}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.06*0.94}}{0.03})^2[/tex]

[tex]n = 169.6[/tex]

Rounding up, 170.

Step-by-step explanation:

12 trees produce 72 apples

1 tree pruduces 72/12 apples

or 6 apples per tree

estimated => 7 apples per tree

A small orchard is made up of 12 trees that all together produce 72 apples. Which of the following is the best estimate of how many apples each tree produces?

3 apples per tree

15 apples per tree

12 apples per tree

7 apples per tree

17 apples per tree

Which of the following is the best estimate of how many apples each tree produces?

3 apples per tree

15 apples per tree

12 apples per tree

7 apples per tree

17 apples per tree

Here, We will simply divide the number of apples produced by 12 trees by the number of trees and then we will round it off to it's nearest 'ones' place.

⇒ Total number of apples each tree produces = [tex] \sf \frac{total \: number \: of \: apples}{total \: number \: of \: trees} [/tex]

Substituting the values given, We get,

⇒ Total number of apples each tree produce = [tex] \sf \frac{72}{12} [/tex]

⇒ Total number of apples each tree produces = 6

Now, when we round it off to it's nearest 'ones' place, We get,

⇒ Round off 6 = 7

Since, We can see that, 4th option from the list of option given, is 7. Therefore 7 is the answer.

Answer:

Step-by-step explanation:

i need to see the diagram, to help you

Answer:

12 feet

Step-by-step explanation:

w = width

w+2 = length

w(w+2) = 8

w² + 2w - 8 = 0

(w+4)(w-2) = 0

w = -4   exclude because a length cannot be negative

w = 2

length = 2+2 or 4

P = 2(2)+2(4)

P = 4+8 or 12

Answer: 83.7

Step-by-step explanation: Do 0.3 x 279 to get 83.7.

the correct answer is 25

Answer:

The answer: 18-12=6

Step-by-step explanation:

Step 1:

Alex:

Part=Whole*Percentage

So just plug in the numbers

Part=60*0.20=12

Step 2:

Siri:

Part=Whole*Percentage

Part=60*0.30=18

Step 3:

18-12=6

Answer:

6 is 140°

step by step

same line meant that the angle abc equals 180°

so DBC =180-40=140° .

Answer:

The correct answer is:

A, B, D,

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

the percent decrease is by 8 percent

Answer:

60x80 i think 4800

Step-by-step explanation:

Answer:

a) [tex]Z = -2.88[/tex]

b) [tex]Z = -0.96[/tex]

c) 40 weeks gestation babies

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. Find the standardized score (z-score), relative to all U.S. births, for a baby with a birth length of 45 cm.

Here, we use [tex]\mu = 52.2, \sigma = 2.5[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 52.2}{2.5}[/tex]

[tex]Z = -2.88[/tex]

b. Find the standardized score of a birth length of 45 cm. for babies born one month early, using 47.4 as the mean.

Here, we use [tex]\mu = 47.4, \sigma = 2.5[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 47.4}{2.5}[/tex]

[tex]Z = -0.96[/tex]

c. For which group is a birth length of 45 cm more common?

For each group, the probability is 1 subtracted by the pvalue of Z.

Z = -2.88 has a lower pvalue than Z = -0.96, so for Z = -2.88 the probability 1 - pvalue of Z will be greater. This means that for 40 weeks gestation babies a birth length of 45 cm is more common.