68 is 17% of what number?
68 = 0.17 • X
x = [?]

Answer:

Add '-2b' to each side of the equation.

a + 2b + -2b = 12 + -2b

Combine like terms: 2b + -2b = 0

a + 0 = 12 + -2b

a = 12 + -2b

Simplifying

a = 12 + -2b

Answer: b= 6-a/2

Step-by-step explanation:

Always try to isolate what you are looking for.

a+ 2b=12 (subtract a)

2b= 12-a (divide by 2 to isolate b)

b= 12-a/2 (divide both numbers by 2 to get the smallest fraction)

b= 6-a/2 [b is now isolated :) ]

Answer:

[tex]V_{cone}\approx366.33\: cm^3[/tex]

Step-by-step explanation:

Here,

Height of cone (h) = 14 m

Radius of cone (r) = 5 m

[tex]V_{cone}= \frac{1}{3}\pi r^2 h[/tex]

Plugging in the values of h and r in the above formula, we find:

[tex]V_{cone}= \frac{1}{3}(3.14)(5)^2 (14)[/tex]

[tex]V_{cone}= 366.333333\: cm^3[/tex]

[tex]V_{cone}\approx366.33\: cm^3[/tex]

1/2 h×b

1/2 (10×14)

1/2 (140)

70m²

hope it helps...!!!

Answer:

x = 5

Step-by-step explanation:

70 - 4x = 30 + 4x

Add 4x on both sides of the equation,

70 - 4x + 4x = 30 + 4x + 4x

70 = 30 + 8x

Subtract 30 from both sides of the equation to isolate 8x,

70 - 30 = 30 + 8x - 30

40 = 8x

Divide both sides of the equation by 8 to solve for x,

40 ÷ 8 = 8x ÷ 8

5 = x

Answer:

= 5 groups.

Step-by-step explanation:

    2. Substitute the equation

                        = 5 groups.

The standard deviation of the given data is 3.5

Standard deviation is used to determine the rate of dispersion of data with respect to the mean.

The formula for calculating the standard deviation of data is given as:

[tex]\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{n-1} }[/tex]

Given the data below:

10.4, 10.3, 11.7, 11.1, 8, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5

Using the stdevp calculator the standard deviation is calculated as:

σ =  √12.405

σ = 3.5

Hence the standard deviation of the given data is 3.5

Learn more on standard deviation here: https://brainly.com/question/12402189

The sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z{score}\times\frac{s}{\sqrt{n} }[/tex]

Where    is the z score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We have:

MOE = 5% = 0.05 and

[tex]\alpha = 1-0.9 \Rightarrow 0.1[/tex]

Let's assume the value of p = 0.5, and q = 0.5

From the table:

[tex]\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64[/tex]

[tex]\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}[/tex]

[tex]\rm n = 0.5\times 0.5\frac{1.64^2}{0.05^2}[/tex]

n = 268.96 ≈ 269

For part(b)

The value of p = 0.23, and q = 0.77

From the table:

[tex]\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64[/tex]

[tex]\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}[/tex]

[tex]\rm n = 0.23\times 0.77\frac{1.64^2}{0.05^2}[/tex]

n = 190.53  ≈ 191

Thus, the sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%

Learn more about the Margin of error here:

brainly.com/question/13990500

#SPJ1

Answer:

I'm pretty sure the answer would be marked wrong.

Step-by-step explanation:

Answer:

[tex]4116\; {\rm ft^{3}}[/tex], assuming that the two cylinders are of the same height.

Step-by-step explanation:

The volume of a cylinder of radius [tex]r[/tex] and height [tex]h[/tex] is [tex]\pi\, r^{2}\, h[/tex].

If the two cylinders are of the same height [tex]h[/tex], the volume of the two cylinders would be proportional to the square of their radii.

Let [tex]r_{0}[/tex] and [tex]V_{0}[/tex] denote the radius and volume of the smaller cylinder. Similarly, let [tex]r_{1}[/tex] and [tex]V_{1}[/tex] denote the radius and volume of the larger cylinder. Assuming that the height of both cylinders is [tex]h[/tex]:

[tex]V_{1} = \pi\, {r_{1}}^{2}\, h[/tex].

[tex]V_{0} = \pi\, {r_{0}}^{2}\, h[/tex].

Hence, [tex](V_{1}) / (V_{0})[/tex] (ratio between the volume of the larger cylinder and the volume of the smaller cylinder) would be:

[tex]\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{\pi\, {r_{1}}^{2}\, h}{\pi\, {r_{0}}^{2}\, h} =\frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}[/tex].

In this question, it is given that:

Rearrange the equation [tex]\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}[/tex] to find an expression for [tex]V_{1}[/tex], volume of the larger cylinder:

[tex]\begin{aligned}V_{1} &= \frac{{r_{1}}^{2}\, V_{0} }{{r_{0}}^{2}} \\ &= \frac{{(7\; {\rm ft})}^{2}}{{(3\; {\rm ft})}^{2}} \times (756\; {\rm ft^{3}}) \\ &= 4116\; {\rm ft^{3}} \end{aligned}[/tex].

The position function for the given object is:

s(t) = (-20 m/s^2)*t^2 + (18m/s)*t

Here we know that:

a(t) = -40 m/s^2

v(0) = 18 m/s

s(0) = 0m

So, we know the acceleration, the initial velocity, and the initial position.

To get the velocity equation we need to integrate the acceleration equation, we will get:

v(t) = (-40 m/s^2)*t + C

Where C is the constant of integration, which we know that is the initial velocity, then:

v(t) =  (-40 m/s^2)*t + 18m/s

Now, to get the position equation, we need to integrate again:

s(t) = (1/2)*(-40 m/s^2)*t^2 + (18m/s)*t + s(0)

s(t) = (-20 m/s^2)*t^2 + (18m/s)*t

So, the position function, is: s(t) = (-20 m/s^2)*t^2 + (18m/s)*t

If you want to learn more about motion equations, you can read:

https://brainly.com/question/19365526

Answer:

Step-by-step explanation:

The number is 60:

Divide the amount and decimal of the percentage to be extracted

Case 1

[tex]\frac{21}{0.35} =60[/tex]

Case 2

[tex]\frac{54}{0.9} =60[/tex]

Now the 55% of this number is:

[tex]60(0.55)=33[/tex]

Hope this helps

Answer:

13 train cars.

Step-by-step explanation:

Let x = number of trains

[tex]x = \frac{600passengers}{48passengers/car} \\\\x = 12.5cars[/tex]

But we can't have 0.5 of a train...

x ≈ 13cars

Answer:

To answer your question m8 it would be $30

Step-by-step explanation:

60 students times 3 is 180 and subtract that by 150, you get 30.

Answer:

A

s+s+s+s

equals to 4s

therefore a+a+a+a

equals to 4a

Answer:51.16

I hope this works for you.

Answer:

Question #1: 9 + 10 = 19

Question #2: 9 + 100 = 109

Step-by-step explanation:

9 + 10 = 19 because if you have 10 blocks and you recived 9 blocks what is the total blocks you have now? if you counted 10 blocks and 9 blocks that you recived you would have 19 or if you counted by 10 with 9 fingers you will get 19.

9 + 100 = 109 because if you have 100 dolls and you recived 9 dolls from friends what is the total dolls you have now? if you counted 100 dolls and 9 dolls that you recived from friends you would have 109 dolls or if you counted by 100 with 9 fingers you will get 109.

Answer:

10+9=10

100+9=109

:D

Step-by-step explanation:

Step-by-step explanation:

Dog weight on the moon = A

Directly proportional

200/32 = 50/A

A = 8 pound

The ordered pair that satisfies the given inequality is ( 4,-2)

Step-by-step explanation:

By looking at the Graph, only the point ( 4,-2) marked by red dot lies on the shaded portion of the graph.

Please Mark this answer as brainliest, thank you :-)

Answer:

9/20

Step-by-step explanation:

[tex]-\frac{1}{5} (-2\frac{1}{4} )\\\\-\frac{1}{5} (-\frac{9}{4} )\\\\\frac{9}{20}[/tex]

I hope this helps

Answer:

1/5

Step-by-step explanation:

You know that they will spin it five times and it's a prediction which means that you don't have actual data so just one.

Answer:

The value of n = 1/4

Step-by-step explanation:

Given : the value of k = 99

K=100-4n ..i)

putting the value of k = 99 in equation ..i)

=> 99 = 100 -4n

=> 99 -100 = -4n

=> -1 = -4n

=> 1/4 = n

Answer:

K = -296

Step-by-step explanation:

K = 100 - 4n

K = 100 - 4(99)

K = 100 - 396

K = -296

Answer:

Below n bold.

Step-by-step explanation:

The angle in each part = 360/18 = 20 degrees.

For 5 parts the angle = 5*20 = 100 degrees.

Answer:

9/2

Step-by-step explanation:

Divide: 3/

5

: 2/

3

= 3/

5

· 3/

2

= 3 · 3/

5 · 2

= 9/

10

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/

3

is 3/

2

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - three fifths divided by two thirds = nine tenths.

Answer:

430,000

Step-by-step explanation:

HGD

Answer:

430,000

Step-by-step explanation:

The distance between the boat and the ocean's floor is 19m

We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.

We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).

Then we use the relation:

Sin(a) = (opposite cathetus)/(hypotenuse).

Replacing the values that we know, we get:

Sin(39°) = d/30m

sin(39°)*30m = d = 18.9m ≈ 19m

The distance between the boat and the ocean's floor is 19m.

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

Answer:

343

Step-by-step explanation:

I hope this helps ! Have a good day! <3 :)

Answer:

Step-by-step explanation:

3x + y = 1

⇔ -3x + 3x + y = -3x + 1  (we added -3x to both sides of the equation)

⇔ y = -3x + 1  ( because -3x + 3x = 0)

Answer:

74.483

Step-by-step explanation:

to get the mean, or the average. you add up all the numbers and divide them by how many there are.

53.9 + 73.75 + 95.8 = 223.45 ÷ 3 = 74.483

Such sentences that convey strong emotion or excitement are called an exclamatory sentence.

The given sentence is an assertive sentence which shows sadness. Use exclamatory mark to change assertive into an exclamatory sentence.

Linear equations are often organized in slope-intercept form:

[tex]y=mx+b[/tex]

Parallel lines always have the same slopes and different y-intercepts.

We're given:

Firstly, rearrange the given line in slope-intercept form:

[tex]y=-3x+5[/tex]

Remember, parallel lines always have the same slope. Therefore, our parallel line would look like this, with a (currently) unknown y-intercept (b):

[tex]y=-3x+b[/tex]

We're given that the line passes through the point (0,2). Because the y-intercept occurs when x=0, we now know that the y-intercept of the line is 2. Plug this into the equation:

[tex]y=-3x+2[/tex]

[tex]y=-3x+2[/tex]

54x+16÷2−33(5+5)

54x+16÷2-33×10

54x+8-33×10

54x+8-330

54x-322

54x=322

x=322/54

x=5.96

x=6(round fig)

hope it helps...!!!

[tex] \huge \mathbb \green{HEY \: THERE}[/tex]

[tex]54x + 16 \div 2 - 33(5 + 5) \\ \\ = 54x + 16 \div 2 - 33 \times 10 \\ \\ = 54x + 8 - 330 \\ \\ = 54x - 322 = 0 \\ \\ \implies 54x = 322 \\ \\ \implies \: x = \frac{322}{54} \\ \\ \implies x = 5.96[/tex]

[tex] \huge \mathbb \green{HOPE \: IT \: HELPS}[/tex]