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STatiana [176]
3 years ago
11

A model train has an engine and five boxcars. The engine is 14 cm long and each boxcar is 9cm long. There is a 1 cm space betwee

n cats. How long is the train
Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0
64cm :)
is the answer to you question

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Rewrite the polynomial in standerd form f(x)=(3x+1)(x+2)(x-3)
butalik [34]
F(x) = 3x^3 -2x^2 - 19x -6
8 0
3 years ago
Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hopes to
3241004551 [841]

Answer:

There is sufficient evidence that fuel economy goal has been attained.

Step-by-step explanation:

The hypothesis :

H0 : μ < 30.2

H1 : μ ≥ 30.2

The test statistic :

(xbar - μ) ÷ (s/√(n))

xbar = 32.12 ; s = 4.83 ; n = 50

Test statistic :

(32.12 - 30.2) ÷ (4.83/√(50))

1.92 ÷ 0.6830651

T = 2.811

Using the Pvalue from test statistic calculator :

Since we used the sample standard deviation, we use the T distribution

df = n - 1 = 50 - 1 = 49

Pvalue(2.811, 49) ; one tailed = 0.00354

At α = 0.05

Pvalue < α ; then we reject the null and conclude that there is sufficient evidence that fuel economy goal has been attained

4 0
3 years ago
Item 19 A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 112 feet from a bu
liberstina [14]
The building is about 70.95 feet tall.

The building and the laser range will form a right triangle. You can use the Pythagorean Theorem to find the height of the building.

112^2 + b^2 = 131^2
b = 67.95

However, don't forget to add on 3 because that is the height of the laser range.
8 0
3 years ago
X + 9x + 5 = 35 . Find value of x.
otez555 [7]

Answer:

x = 3

Step-by-step explanation:

x + 9x + 5 = 35

=> x + 9x = 35 - 5

=> x + 9x = 30

=> 10x = 30

=> x = 30/10

=> x = 3

8 0
2 years ago
Read 2 more answers
8x - 4y = -12 solve for y
son4ous [18]
Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation. A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. Whatever we do to one side, has to be done on the opposite side. 

8x - 4y = -12 

4(2x-y)=-12&#10;&#10; &#10;   Factor \ out \ the \ common \ term \ 4

2x-y=- \dfrac{12}{4}    Divide \ both \ sides \ by \ 4

2x-y=-3&#10;&#10; &#10;&#10; 

-y=-3-2x       Subtract \ 2x \ from \ both \ sides

y=3+2x        Multiply \ both \ sides \ by \ -1
4 0
3 years ago
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