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ludmilkaskok [199]
1 year ago
8

Noah finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length x in inches of

the cutout squares used to make it. This is the graph Noah gets if he allows x to take on any value between -1 and 5.The volume of the box when x = 1 is______________.

Mathematics
1 answer:
11111nata11111 [884]1 year ago
7 0

SOLUTION

Given the question on the question tab;

From\text{ the graph; we will trace from x=1 upward to meet the curve, then trace to the y-axis.}

The trace on the graph is given below;

The\text{ value of y when x=1 is 15.}

Final answer:

The volume of the box when x=1 is 15 cubic inches.

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Use the confidence level and sample data to find a confidence interval for estimating the population μ. Round your answer to the
Levart [38]

Answer: Choice A.)   88.2 < μ < 93.0

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

Explanation:

We have this given info:

  • n = 92 = sample size
  • xbar = 90.6 = sample mean
  • sigma = 8.9 = population standard deviation
  • C = 99% = confidence level

Because n > 30 and because we know sigma, this allows us to use the Z distribution (aka standard normal distribution).

At 99% confidence, the z critical value is roughly z = 2.576; use a reference sheet, table, or calculator to determine this.

The lower bound of the confidence interval (L) is roughly

L = xbar - z*sigma/sqrt(n)

L = 90.6 - 2.576*8.9/sqrt(92)

L = 88.209757568781

L = 88.2

The upper bound (U) of this confidence interval is roughly

U = xbar + z*sigma/sqrt(n)

U = 90.6 + 2.576*8.9/sqrt(92)

U = 92.990242431219

U = 93.0

Therefore, the confidence interval in the format (L, U) is approximately (88.2, 93.0)

When converted to L < μ < U format, then we get approximately 88.2 < μ < 93.0 which shows that the final answer is choice A.

We're 99% confident that the population mean mu is somewhere between 88.2 and 93.0

7 0
3 years ago
Multiply.<br>(v+8)(v-8)<br>simplify
san4es73 [151]
V * v = v^2
v * -8 = -8v
8 * v = 8v
8 * -8 = -64

v^2 - 8v + 8v - 64
v^2 - 64
<span>
This was using the distributive property or using the FOIL method</span>
4 0
2 years ago
The perimeter of a square is 120 inches what is its area
nata0808 [166]

Answer:

A = 900in²

Perimeter   120in

Using the formulas

A = a²

P = 4a

Step-by-step explanation:

Solving for A:

A = 1/16 P² = 1/16 · 120² = 900in²

5 0
2 years ago
Read 2 more answers
Write and solve an equation to find the value of x and the missing angle measures
Alinara [238K]

Answer:

85 degrees

Step-by-step explanation:

its really easy just make them equal to eachother and then solve

9x + 13 = 11x-3

-11x (subtract because 11x is positive)

-2x +13 = -3

-13 (subtract because 13 is positive)

-2x = -16

divide both sides by -2

x= 8

substitute 8 for the x's and you have your answer

8 0
3 years ago
Use the x-intercept method to find all real solutions of the equation.<br> x^3-6x^2+3x+10=0
dedylja [7]

Answer:

x=-1 or 5 or 2

Step-by-step explanation:

x³-6x²+3x+10=0

(x+1)(x-5)(x-2)=0

x+1=0 ⇒ x=-1

x-5=0 ⇒x=5

x-2=0 ⇒ x=2

3 0
3 years ago
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