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Ludmilka [50]
3 years ago
11

A 99 ft length of wire is to be cut into 2 pieces, so that the longer piece is eight feet longer than six times the shorter piec

e. Fond the length of each piece.
​
Mathematics
1 answer:
Serhud [2]3 years ago
5 0

here's the solution,

let the length of shorter peice = x

then the lenght of longer peice = 6x + 8

now, we know that the sum of length of peices measures 99 feet,

So,

=》x + 6x + 8 = 99

=》7x = 91

=》x = 13

shorter piece length = 13 feet

longer peice length = 13 × 6 + 8 = 78 + 8 = 86 feet

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Vita has a pice of rope that is 5 meters long. She cuts the rope into pieces that are each 1/3 meter long. How many pieces does
sp2606 [1]
Normally you would divide something like this by the cuts made. So if there were cuts of 2 inches on a 10 inch rope, then you should divide 10 by 2. It's the same with this:
5/ \frac{1}{3} = 5*3, 15 \ pieces
Multiply by the reciprocal when you are dividing fractions.
4 0
3 years ago
Write a linear function f with the values f(0)=−3 and f(7)=11<br><br> A function is f(x)=
kotegsom [21]
F(x)= 2x-3
f(0)=2•0-3=0-3=-3 ✔️
f(7)=2•7-3=14-3=11 ✔️
4 0
3 years ago
Identify the type I error and the type II error for a hypothesis test of the indicated claim. The percentage of adults who retir
matrenka [14]

Answer:

<u>Type I error: </u>D. Reject the null hypothesis that the percentage of adults who retire at age 65 is less than or equal to 62 % when it is actually true.

<u>Type II error: </u>A. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is less than or equal to 62 % when it is actually false.

Step-by-step explanation:

A type I error happens when a true null hypothesis is rejected.

A type II error happens when a false null hypothesis is failed to be rejected.

In this case, where the alternative hypothesis is that "the percentage of adults who retire at age 65 is greater than 62%", the null hypothesis will state that this percentage is not significantly greater than 62%.

A type I error would happen when the conclusion is that the percentage is greater than 62%, when in fact it is not.

A type II error would happen when there is no enough evidence to claim that the percentage is greater than 62%, even when the percentage is in fact greater than 62% (but we still don't have evidence to prove it).

5 0
3 years ago
How is this possible? x=(pi +3)/2
coldgirl [10]
Pi=3.14. X=(3.14+3)/2. X=6.14/2. X=3.07 :)
5 0
2 years ago
F(x)=x^2-3x-2 is shifted 4 units left. The results is g(x). What is g(x)?
marusya05 [52]

Answer:

B. g(x)=(x+4)^2-3(x+4)-2

Step-by-step explanation:

The given function is

f(x)=x^2-3x-2

If f(x) is shifted to the left 4 units and the result is g(x).

Then;

g(x)=f(x+4)

We substitute (x+4) into f(x)=x^2-3x-2 to find the g(x).

g(x)=(x+4)^2-3(x+4)-2

The correct choice is B.

8 0
3 years ago
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