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Answer: - 2/3 but in decimal form it is -0.6 repeating

Step-by-step explanation:

Answer:

1 [tex]\frac{2}{8}[/tex]

Step-by-step explanation:

The largest is 1 [tex]\frac{4}{8}[/tex], and the smallest is [tex]\frac{2}{8}[/tex]. 1 [tex]\frac{4}{8}[/tex] - [tex]\frac{2}{8}[/tex] = 1 [tex]\frac{2}{8}[/tex].

Answer:

8.

[tex]\sqrt[3]{\frac{7x^3}{64y^4} } = \frac{(7x^3)^{\frac{1}{3}} }{(64y^4)^{\frac{1}{3} }} =\frac{7^{\frac{1}{3} }*x}{4^3^{\frac{1}{3} }y^4^{\frac{1}{3} }} =\frac{x}{4} \sqrt[3]{\frac{7}{y^4} }[/tex]

9.

[tex]\frac{4+\sqrt{6} }{3\sqrt{6} } =\frac{(4+\sqrt{6} )(\sqrt{6}) }{3\sqrt{6} \sqrt{6} } =\frac{4\sqrt{6}+6 }{3*6} =\frac{4\sqrt{6} +6}{18} =\frac{2\sqrt{6} +3}{9}[/tex]

10.

[tex]\frac{2 + 5\sqrt{2} }{2-\sqrt{2} }= \frac{(2 + 5\sqrt{2})(2+\sqrt{2}) }{(2-\sqrt{2})(2+\sqrt{2} ) } = \frac{4+ 2\sqrt{2} + 10\sqrt{2} +10 }{2^2 -\sqrt{2}^{2} } =\frac{14 + 12\sqrt{2} }{4-2} =\frac{14 + 12\sqrt{2} }{2} = 7 + 6\sqrt{2}[/tex]

Answer:

b

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

Answer:permutations

Step-by-step explanation:

Answer:

Step-by-step explanation:

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Answer:

D. Yes, since the p-value of the one-sided test is less than 5%.

Step-by-step explanation:

Test if there is evidence that the proportion of large trucks carrying hazardous materials is less than 30%.

At the null hypothesis, we test that this proportion is of 30%, that is:

[tex]H_0: p = 0.3[/tex]

At the alternate hypothesis, we test if this proportion is less than 30%, that is:

[tex]H_1: p < 0.3[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.3 is tested at the null hypothesis:

This means that [tex]\mu = 0.3, \sigma = \sqrt{0.3*0.7}[/tex]

Of 350 randomly selected trucks, 87 were carrying hazardous materials.

This means that [tex]n = 350, X = \frac{87}{350} = 0.2486[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.2486 - 0.3}{\frac{\sqrt{0.3*0.7}}{\sqrt{350}}}[/tex]

[tex]z = -2.1[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.2486, which is the p-value of z = -2.1.

Looking at the z-table, z = -2.1 has a p-value of 0.0179.

The p-value of the test is 0.0179 < 0.05, which means that there is evidence at the 5% level that the proportion of large trucks carrying hazardous materials is less than 30%. Thus, the correct answer is given by option D.

Step-by-step explanation:

i think it's linear equation

when you divide -8/2=-4 and 2/2=1

-4<1

when you divide by a negative number your sign changes

4>-1

When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reverses. 16 > −4 and 4 > −1.

Answer:

see below

Step-by-step explanation:

When multiplying or dividing an inequality by a positive, the inequality remains the same direction

3x < 6

Divide by 3

3x/3 < 6/3

x <2

When multiplying or dividing an inequality by a negative, the inequality changes direction

-3x < 6

-3x/ -3 > 6/-3

x > -2

Answer:

28 ft²

Step-by-step explanation:

7 · 4 = 28

28 ft²

Answer:

The position equation will be:

[tex]y(t)=2sin(\frac{2\pi}{3} t)[/tex]

Step-by-step explanation:

The general position equation of mass attached to a spring is given by:

[tex]y(t)=Asin(\omega t-\phi)[/tex]

Where:

We know that it takes 3 sec for the spring to complete one cycle. It means the period is T = 3 s.

Let's recall that T = 1/f where f is the frequency, so f = 1/3 Hz and hence ω=2π(1/3)=2π/3.

The amplitude is the distance from the origin to the crest. In our case, A = 4/2 in = 2 in, because the distance from the highest to the lowest is 4.

Therefore, the position equation will be:

[tex]y(t)=2sin(\frac{2\pi}{3} t)[/tex]

I hope it helps you!

Answer:

[tex]Area = 24\ in^2[/tex]

Step-by-step explanation:

Given

Let

[tex]a, b \to[/tex] opposite sides of each trapezoid

[tex]h \to[/tex] height

[tex]a = 2; \ \ \ b = 4 \ \ \ \ h = 2[/tex]

See attachment for trapezoids

Required

The combined area of the 4

First, we calculate the area of 1

[tex]Area = \frac{1}{2}(a + b) * h[/tex]

So:

[tex]A_1 = \frac{1}{2}(2 + 4) * 2[/tex]

[tex]A_1 = \frac{1}{2}*6 * 2[/tex]

Using a calculator

[tex]A_1 = 6[/tex]

The combined area is:

[tex]Area =n * A_1[/tex]

Where

[tex]n = 4[/tex] --- 4 blades

So:

[tex]Area = 4 * 6[/tex]

[tex]Area = 24\ in^2[/tex]

In combinatorics, this question is a combination question, because combination deals with selection while permutations deal with arrangement.

[tex]nCr = \frac{n!}{(n - r)!r!} \\ [/tex]

Plugging in our values,

[tex]8C3 = \frac{8!}{(8 - 3)!3!} = \frac{8!}{5!3!} = \frac{8 \times 7 \times 6 \times 5!}{5!3!} = \frac{8 \times 7 \times 6}{3 \times 2} = 56 \\ [/tex]

That means 3 desserts from a tray of 8 desserts 56 times.

Answer:

30

Step-by-step explanation:

You made the same mistake as you did the last time

if you have 50 stocks paying you .15 4 times a year that means you get

50*.15*4= 30

Answer:

(-1, 1)

Step-by-step explanation:

Just look at where the two lines intersect and thats the soloution

Answer:

x = 7

Step-by-step explanation:

13x + 5 = 96

Subtract 5 from both sides.

13x = 91

Divide both sides by 13.

x = 7

9514 1404 393

Answer:

  (a) 2 or 3

  (b) -13

Step-by-step explanation:

(a) A, B, and C are collinear if there is some constant 'c' such that ...

  B - A = c(C - A)

This will give rise to two equations in 'c' and 'k'.

  (k +1, k +4) -(0, 9) = c((2k, k+3) -(0, 9))

  (k +1, k -5) = c(2k, k -6)

And the two equations are ...

  k +1 = 2ck

  k -5 = c(k -6)

From the first, we find ...

  c = (k +1)/(2k)

From the second, we find ...

  c = (k -5)/(k -6)

Equating these expressions for c gives ...

  (k +1)/(2k) = (k -5)/(k -6)

  (k +1)(k -6) = 2k(k -5) . . . . . . . multiply by 2k(k-6)

  k^2 -5k -6 = 2k^2 -10k

  0 = k^2 -5k +6 = (k -3)(k -2)

Solutions that make the factors zero are ...

  k = 3  or  k = 2

There are two values of k that make the points collinear: 2 and 3.

__

(b) AB is parallel to CD when the slopes of the lines between them are the same

  slope of AB = (k+4 -9)/(k+1 -0) = (k -5)/(k +1)

  slope of CD = ((k +6 -(k +3))/(2k +2 -2k) = 3/2

Equating these slopes and solving for k, we get ...

  (k -5)/(k +1) = 3/2

  2(k -5) = 3(k +1)

  2k -10 = 3k +3

  -13 = k

AB is parallel to CD when k = -13.

_____

The attached shows the collinear points on the red and blue lines. The points that make parallel lines are shown on the purple lines. (The purple circles correspond to points D for k=2 and 3, so are irrelevant.) Point D is not labeled with its coordinates, (-24, -7).

Answer: 12

Step-by-step explanation:

Answer:

D is correct Answer. Parallel line on graph means infinity many solutions.

Answer:

7/36

Step-by-step explanation:

Complete

A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability of selecting a purple marble and then a white marble?

Total outcome = 2 + 7 = 9marbles

Pr(picking purple) = number of purple/total outcome

Pr(picking red) = 7/9

Since the first marble is not replaced, the total outcome becomes 8 marbles

Pr(picking white) = 2/8 = 1/4

Probability of selecting a purple marble and then a white marble = 7/9 * 1/4 = 7/36

Answer:

4.5in, 8in

Step-by-step explanation:

So, what is radius?

Well, diameter is the distance from one side of a circle to the other.

Radius is half of diamater, or the distance from any side to the middle of the circle.

Problem #1:

In this case, the distance from side of the circle to the other side is 9.

Since this is side to side, it must be diameter. We know that radius is half of diameter, so radius is:

9/2

=

4.5

This is your radius.

Problem #2:

In this case, the distance from the one side to the other side of the circle is 16. Again, this is the diameter. So the radius will be half of 16:

16/2

=

8

So this is your radius.

Hope this helps!

Answer:

4.5 in. and 8 ft. respectively

Step-by-step explanation:

The diameter of a circle is the product of the radius and 2. So, the radius would be the quotient of the diameter and 2.

Answer:

$560

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

a i think a

Step-by-step explanation:

Answer: 20.5

Step-by-step explanation:

The distance between the bottom of the ladder from the bottom of the building will be 20.5 feet.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

In the event that you place a 38-foot stepping stool against the highest point of a 32-foot building.

Let 'x' be the horizontal distance on the ground. Then the equation is given as,

38² = 32² + x²

Simplify the equation, then we have

1444 = 1024 + x²

x² = 420

x = 20.5 feet

The distance between the bottom of the ladder from the bottom of the building will be 20.5 feet.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Answer:

Hello!

Im using 3.14 for pi

circumference: 43.96

area: 153.86

Hope that helps!

Answer:

43.96km

Step-by-step explanation:

hope this helps, braniliest  plzz