100%
A random sample of students were asked whether they preferred to sweep the floor or to do the dishes, and whether they preferred to hear music
or have silence while doing the chore. The results of the survey are summarized in the table.
Sweep Dishes Total
36 60 96
Music
Silence
42
62
104
Total
78
122
200
What is the probability that a student prefers to do the chore in silence?
O A. 0.21
OB. 0.31
O c. 0.39
OD. 0.42
O E. 0.52

Answer:

Don't use this answer but...

Step-by-step explanation:

I think it's Fault.  

Given:

[tex]4\times 50 =8\times 25[/tex]

To find:

The steps to prove the given statement by using the properties of multiplication.

Solution:

We have,

[tex]4\times 50 =8\times 25[/tex]

Taking left hand side, we get

[tex]LHS=4\times 50[/tex]

[tex]LHS=4\times (2\times 25)[/tex]

[tex]LHS=(4\times 2)\times 25[/tex]     (Associative property of multiplication)

[tex]LHS=8\times 25[/tex]

[tex]LHS=RHS[/tex]

Hence proved.

Answer:

I honestly don't know I'm just trying get my points up

Step-by-step explanation:

Sorry bestie

Answer:

the required number of telephone orders to complete the 400 interviews is 3433

Step-by-step explanation:

Given the data in the question;

Let us represent the telephone numbers the researcher orders to complete the 400 interviews with Y.

Thus, The working phone numbers = 70% × Y

Now, number of ATM users = 45% × The working ph0ne numbers

⇒ 45% × ( 70% × Y )

number of ATM users = 0.45 × 0.70 × Y = 0.315Y

Thus; Number of people contacted that agrees to complete the survey will be;

⇒ 37% × number of ATM users

⇒ 0.37 × 0.315Y = 0.11655Y

so, since the researcher needs at least 400 interviews

Hence;

0.11655Y ≥ 400

Y ≥ 400 / 0.11655

Y ≥ 3432.0034 ≈ 3433

Therefore, the required number of telephone orders to complete the 400 interviews is 3433

Answer:

Options A and  D are your answers.

m∠6=90°

m∠4+m∠5=90°

[tex]-----------[/tex]

hope it helps...

have a great day!!

It was not letting me add my answer for some reason, but my image is attached below. I hope this helped you.

Answer:

$66

Step-by-step explanation:

Let the money that you started off with be called x.

You spend $62 on a game: x-62

You receive $50 for painting a fence: x-62+50 = x-12

You give $10 to your friend: x-12-10 = x-22

You have $44 left: x-22=44, x=44+22=66

We have four copies of '2' and one copy of '5' multiplied together

This is the same as saying 2^4*5

=========================================

Explanation:

Divide 80 over the smallest prime factor, which is 2

80/2 = 40

Divide that result over 2

40/2 = 20

Keep going until you cannot divide by 2 anymore

20/2 = 10

10/2 = 5

We stop here because 5/2 isn't a whole number. We also stop here since 5 is prime. Circle all the primes that show up and you should have four copies of 2 and one copy of 5.

Therefore: 2*2*2*2*5 = 80

In shorthand, this condenses to 2^4*5 = 80

The factor tree is shown below. Other factor trees are possible.

Answer:

30 degrees

Step-by-step explanation:

102+48=150

180-150= 30 degrees

Hope this helped! :)

Answer:

B x >= 11

Step-by-step explanation:

80 miles total, 14 miles already done => 80-14=66 miles left.

66 miles distributed evenly across 6 days means 66/6=11

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the vertex, we need to put this into vertex form, which is done by completing the square on the quadratic. Begin by moving the 8 over to he other side of the equals sign:

[tex]3x^2-6x=-8[/tex]

Now factor out the 3:

[tex]3(x^2-2x)=-8[/tex]

Now take half the linear term, square it, and add it to both sides. Our linear term is 2. Half of 2 is 1, and 1 squared is 1:

[tex]3(x^2-2x+1)=-8+3[/tex]

We added a 3 on the right because 3 times the 1 we added in is 3. Cleaning that up a bit gives us the perfect square binomial on the left and -5 on the right:

[tex]3(x-1)^2=-5[/tex]

and when we move the -5 back over by adding we have

[tex]3(x-1)^2+5=y[/tex] and our vertex is seen to be (1, 5)

Answer:

C. 12.04 inches

Step-by-step explanation:

Diagonal of a prism cam be solved using the extension of Pythagorean theorem which is given as:

d² = x² + y² + z²

x = 10 in.

y = 6 in.

z = 3 in.

d² = 10² + 6² + 3²

d² = 100 + 36 + 9

d² = 145

d = √145

d = 12.0415946

d = 12.04 inches (nearest hundredth)

Answer:

$34,500

Step-by-step explanation:

1% of 550,000 = 5,500

33,000÷ 5,500 = 6%

1% of 575,000 = 5,750

5,750 x 6 = 34,500

Answer:

(-3,3) and (4,0) are inside the triangle.

Answer:

(D)

Step-by-step explanation:

Angles 2 & 6 are called corresponding angles in the diagram and they are congruent if the lines c & d are parallel. Since they are, that means lines c & d are parallel.

Answer: C

4×20=80

19+17+15+13+7+5+3+1 = 80

Answer:

4 x 20

Step-by-step explanation:

Step 1. Add all the numbers 19+17+15+13+7+5+3+1 = 80

Step 2. Find the equation that matches the sum. Eliminate the answers you know are wrong. 4 x 20 = 80 is another way of writing all those numbers.

Hope this helps and thanks :)

Answer:

119 cm

Step-by-step explanation:

20 - 3 = 17

(140/20)(17) = 119 cm

Coterminal angles are angles in standard position with the same terminal side. For example, angles measuring 120° and – 240° are coterminal.

Answer:

b

Step-by-step explanation:

Answer:

0.5 ft per min

Step-by-step explanation:

in 80 minutes the radius expanded by 40%

we can set up a proportion of percent change over minutes:

.4/80 = r/1

cross-multiply to get:

80r = .4

r = .005 or 1/2 of a foot per minute.

Hope It Helps :)

The radius of the spill changing between the time of the spill was noticed and the arrival of the response team is 2/7.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Let the radian of the spill at time t be μ(t).

Since, radian increases at a constant rate, we have,

dμ/dt = k

r(t) = kt + c

At t = 0, r = 60 m

60 = k(0) + c

c = 60

At, t = 70, r(70) = 80 m

80 = k(70) + 60

20 = 70k

k = 20/70

k = 2/7

Then, r(t) = 2/7t + 60 and the rate of change of radian of the spill is 2/7 per min.

To know more about equation:

https://brainly.com/question/29657983

#SPJ5

Answer:

462

Step-by-step explanation:

(11)C(6) = 11! ÷ 6! 5!

= (11 x 10 9 x 8 x 7) / (5 x 4 x 3 x 2)

= 462

Answer:

Step-by-step explanation:

The volume of the rectangular prism is:

Answer:

A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

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]

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that [tex]n = 1012, \pi = \frac{374}{1012} = 0.3696[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

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

[tex]E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}[/tex]

[tex]E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]

[tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]

A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

Answer:

Step-by-step explanation: how about you anwser this in exchange typical household circuits can carry a maximum current of 15 A if a wire has a resistance of 8.0Ω  determine the voltage across the energy source.