A 13 inch piece of steel is cut into three pieces so that the second piece is twice as long as first piece, and the third piece is one inch more than three times the length of the first piece. Find the length of the piece

Answer:

Set A

Step-by-step explanation:

A negative linear association will always have a negative slope , a negative association can also be be detected from the data given, as the y value will decrease as the x values increases or vice versa.

The plot of the set A is attached Below with a correlation of - 1, meaning a strong negative relationship exists between the x and y variables.

Answer:

the third option

4, 2.75, 1.5, 0.25, -1, -2.25, ...

Step-by-step explanation:

the first value in the sequence is 4.

that eliminates already answer options 1 and 2.

and the values are going down, as we continuously subtract 1.25 from the previous sequence number.

but answer option 4 shows a sequence, where the values go up.

so, only option 3 remains and is correct

4-1.25 = 2.75

2.75-1.25 = 1.5

1.5-1.25 = 0.25

0.25-1.25 = -1

...

Answer:

Step-by-step explanation:

first arrange the data from ascending to descending order

since they are already in the order we dont need to change

first quartile(Q1)=(N+1)/4

=7+1/4

=8/4

=2 nd term

=43

second quartile(Q2 or median)=(N+1)/2

=7+1/2

=8/2

=4 th term

=44

third quartile(Q3)=3(N+1)/4

=3(7+1)/4

=3*8/4

=24/4

=6 th term

=49

damp everyone is giving exams lol

Answer:

Step-by-step explanation:

take 22 degree as reference angle

using cos rule

cos 22=adjacent/hypotenuse

0.92=56/x

x=56/0.92

x=60.86

x=60.9

Answer:

$19,565.22

Step-by-step explanation:

15% of 22,500 = 3375 as we multiply by 0.15

but, 15% of an initial is still whole 1 + 0.15  = 1.15 but when using sale prices to find initial we DIVIDE

= 22500 / 1.15 = 19565.2174

and round up by 2dp currency.

= $19565.22

The way to remember is the opposite finds the original

Answer:

The minimum sample size needed is [tex]n = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]. If n is a decimal number, it is rounded up to the next integer. [tex]\sigma[/tex] is the standard deviation of the population.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?

A sample of n is needed, and n is found when M = 4. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]4 = 1.96\frac{\sigma}{\sqrt{n}}[/tex]

[tex]4\sqrt{n} = 1.96\sqrt{\sigma}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{\sigma}}{4}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]

[tex]n = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]

The minimum sample size needed is [tex]n = (\frac{1.96\sqrt{\sigma}}{4})^2[/tex]. If n is a decimal number, it is rounded up to the next integer. [tex]\sigma[/tex] is the standard deviation of the population.

Answer:

3x-2y > 6

Step-by-step explanation:

3x-2y > 6

see attached figure.

[tex]\sf\purple{2.667}[/tex] ✅

Step-by-step explanation:

[tex]4 \times \frac{2}{3} \\ = \frac{4 \times 2}{ 3} \\ = \frac{8}{3} \\ = 2.667 [/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

5000 * (e^((1 /4) * ln(55 / 50) * (13))) = 6,815.47

Step-by-step explanation:

Answer:

Step-by-step explanation:

To begin, get everything but the x terms on one side of the equation by subtracting the 62. That gives us

[tex]x^2+16x=-55[/tex]

Next, take half the linear term, square it, and add it to both sides. Our linear term is 16. Half of 16 is 8, and 8 squared is 6, so add 64 to both sides:

[tex]x^2+16x+64=9[/tex]

The reason we do this is to get a perfect square binomial on the left, which looks like this:

[tex](x+8)^2=9[/tex]. Undo the squaring on the left by taking the square root of both sides. Doing this leaves x + 8 on the left, but + or - 3 on the right:

x + 8 = 3 and x + 8 = -3. Solving each of these equations gives you your 2 solutions:

x = -5 and x = -11

Answer:

The rate is 12 ounces/box

or Each box of spaghetti weighs 12 ounces

Step-by-step explanation:

Divide 168 ounces by 14 boxes to calculate what each box weighs.

Answer:

Yes

Step-by-step explanation:

3:1 x 3 = 9:3

3:1 x 5 = 15:5

Answer:

409

Step-by-step explanation:

You add 234 with 175.

Answer:

m = 4a - 60, option b

Step-by-step explanation:

Number of cars sold in May:

This was m.

60 less than four times the number of cars sold in April a

Four times the number of cars sold in April was 4a.

m was 60 less than 4a, that is, m is given by 4a subtracted by 60. So

m = 4a - 60, and the correct answer is given by option b.

Answer:

[tex]m = \frac{4}{7}\\[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The constant rate of change (m)

This is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

From the graph, we have:

[tex](x_1,y_1) = (3,4)[/tex]

[tex](x_2,y_2) = (10,8)[/tex]

So, the formula becomes:

[tex]m = \frac{8-4}{10 - 3}[/tex]

[tex]m = \frac{4}{7}\\[/tex]

Answer:

-3, -4, -5

Step-by-step explanation:

x = 1st integer

x+1 = 2nd integer

x+2 = 3rd integer

x+x+1 = 3(x+2)

2x + 1 = 3x + 6

1 = x + 6

-5 = x

-4 = x+1

-3 = x+2

Answer:

<2 = 75

<1 =105

Step-by-step explanation:

<2 and 75 are corresponding angles and corresponding angles are equal when lines are parallel

<2 = 75

<1 and <2 are supplementary angles

<1+<2 = 180

<1 +75 = 180

<1 = 180-75

<1 =105

Answer:

Angle 1: 105 Angle 2: 75

Step-by-step explanation:

The two parallel horizontal lines shown are going through the same line, so the angles will be the same. That means we already know that angle 2 is 75 degrees, and with that information, we can figure out the measure of angle 1. A 180-degree angle is a straight line, and 180 - 75 is equal to 105, which is the measure of angle 1!

I hope this helped you!

Answer:

https://www.wyzant.com/resources/answers/64459/if_f_x_3x2_4x_and_g_x_3x_2_then_which_of_the_following_is_equal_to_f_x_183_g_x#answer-79706

Step-by-step explanation:the link tells you heheh

Answer:

This is the answer

Step-by-step explanation:

This is the solution, hope it helps

Answer:

Step-by-step explanation:

B

Answer:

obtuse angle

Step-by-step explanation:

Answer:

[tex]simple \: interest = \frac{ptr}{100} \\ si = \frac{1540 \times 2 \times 8.25}{100 } \\ = 254.1[/tex]

Answer:

{8, 24, 72, 216, 648}

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is always the same, that is, each term is the previous term multiplied by the common ratio.

In this question:

First element is 8, common ratio of 3. So

Second term: 8*3 = 24

Third term: 24*3 = 72

Fourth term: 72*3 = 216

Fifth term: 216*3 = 648

So the answer is {8, 24, 72, 216, 648}

Answer:

yea i dont know this one bro gp 23 si 28

Step-by-step explanation:

m = √245

Step-by-step explanation:

cos theta = 7/m

cos theta = m/35

7/m = m/35

m² = 245

m= √245

Answer:

90ft²

Step-by-step explanation:

Figure shown is a triangle

Area of a triangle = ( base length times height ) divided by 2

The triangle has a given height of 12 ft and a given base length of 15 ft

Hence area = ( 12 * 15 ) / 2

12 * 15 = 180

180 / 2 = 90

area = 90ft²

Answer:

Area is 90 degrees.

Step-by-step explanation:

The formula for the area of a triangle is (h*b)/2=A

We know height is 12.

We know base is 15.

So lets plug these in:

(12*15)/2=A

180/2=A

90=A

So 90 is our answer!

Hope this helps!

Answer:

n=13

Step-by-step explanation:

the equation 8 is 5 less than a number n

n-5=8

n=?

n=8+5

=13

n=13

Answer:

13

Step-by-step explanation:

the equation 8 is 5 less than a number n

n-5=8

n=?

n=5+8

=13