What”s the correct answer??

Answer:

b

Step-by-step explanation:

Answer: B

Step-by-step explanation:

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

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:

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:

(-3,2)

Step-by-step explanation:

Answer:

I think it is 1/4x not sure but try it

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

Set up a proportion with corresponding sides. The two sides marked with a small line in them represent that those sides are equal. Therefore, the side marked 30 is broken into two lines of equal length (each 15).

Thus, we can set up the following proportion:

[tex]\frac{x}{20}=\frac{15}{30},\\\\30x=300,\\\\x=\boxed{10}[/tex]

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:

$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:

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:

7. 123

8. 38

9. 68

10. 65

11. 113

12. 52

Step-by-step explanation:

Answer:

7) 123°

8) 38°

9) 68°

10) 65°

11) 113°

12) 52°

Answer:

you would make 400 each week

Step-by-step explanation:

Answer:

<2 = 133degrees

<1 = 135degrees

Step-by-step explanation:

From the diagram, the angle <2 and 47 are supplementary, hence;

<2 + 47 = 180

<2 = 180 - 47

<2 = 133degrees

To get <1;

47 = 1/2(<1 - 41)

47 * 2 = (<1 - 41)

94 = <1 - 41

<1 = 94 + 41

<1 = 135degrees

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

Answer:

3.......................

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:

R = -0.8908

R² = 0.7935

Step-by-step explanation:

Given the data:

X :

5

3

6

3

4

4

6

8

Y :

13

15

7

12

13

11

9

5

Using technology, we could obtain the correlation Coefficient (R) using the Pearson correlation Coefficient calculator :

R = -0.8908 ; This means that there is a strong negative relationship between x and y. That is, an increase in x will lead to a corresponding decrease in y and vice versa.

The Coefficient of determination (R²) ; is obtained by taking the squared value of R

R² = (-0.8908)² = 0.7935 ; This means that about 79.35% of the variation is y is explained by the regression line.

Answer:

Step-by-step explanation:

The volume of the rectangular prism is:

Answer:

16v

Step-by-step explanation:

3x + 11 = 4x - 5

11+5 = 4x -3x

x = 16

I hope im right!!

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:

119 cm

Step-by-step explanation:

20 - 3 = 17

(140/20)(17) = 119 cm

Answer:

97.656

Step-by-step explanation:

75.12 * 1.3 = 97.656

Answer:

22.536

Step-by-step explanation:

=75.12 × 30÷100

= 75.12 × 0.3

= 22.536

= 22.54

Answer:

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

Answer:

The correct option is (c).

Step-by-step explanation:

The given expression is :

[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})[/tex]

We need to use the associative property to make it easier.

The associative property for multiplication is as follows :

[tex]A\times (B\times C)=(A\times B)\times C[/tex]

We have,

[tex]A=14, B=\dfrac{3}{2}\ and\ C=\dfrac{1}{4}[/tex]

[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})=(14\times \dfrac{3}{2})\times \dfrac{1}{4}[/tex]

Hence, the correct option is (c).