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Papessa [141]
1 year ago
11

Enter the value for x that makes the given equation true.10x-7(3x+8)=-26x+4

Mathematics
1 answer:
mylen [45]1 year ago
3 0

10x-7(3x+8)=-26x+4​

first you have to isolate the variable

then you divide each side by factores that don't contain the vairable

for this problem if you follow those steps

X=4

-7(3x+8)=-36x+4

-11(3x+8)=-36x+4

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It
Vilka [71]

Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, \bar{x} = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 436.0\text{ grams}\\H_A: \mu < 436.0\text{ grams}

We use one-tailed(left) z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{429 - 436}{\frac{23}{\sqrt{40}} } = -1.92

Now, z_{critical} \text{ at 0.05 level of significance } = -1.64

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

8 0
3 years ago
A 120° sector of a circle has an area of 67 cm². To the nearest centimeter what is the diameter of the circle?
qaws [65]

Answer:

degree = 120°

A =67 cm²

d=?

note : diameter= 2×radius

area of a circle = πr²

67=22/7 ×r²

67×7=22r²

469=22r²

r²=469/22

r²=21.32

r=4.62

diameter=2 × radius

d= 2× 4.62

d=9.24

d=9

I hope it helps :)

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3 years ago
One bus averages 55 mi/h and the other bus averages 45 mi/h. when will they be 400 mi. apart?
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They will be 400 miles apart in 4 hours.
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3 years ago
Graph the function. y = 1/5 (3)^x
Thepotemich [5.8K]
PLOT:
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-1, 0.067
0, 0.2
1, 0.6
2, 1.8
6 0
4 years ago
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