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DanielleElmas [232]
3 years ago
7

In the figure, if AC = 13 cm, then the length of the median BD =

Mathematics
1 answer:
oee [108]3 years ago
3 0

Answer:

Length of AD = 6.5 cm

Step-by-step explanation:

Given:

AC = 13 cm

Find:

The length of the median BD

Computation:

Median = Length of side / 2

Median = 13 / 2

Median = 6.5 cm

So,

Length of AD = 6.5 cm

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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
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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
(3x + 3x²) + (2x² + 2x)?​
Galina-37 [17]

Answer:

=5x2+5x

Step-by-step explanation:

Let's simplify step-by-step.

3x+3x2+2x2+2x

8 0
3 years ago
Jerome takes a math course and a science course for summer school. For every 3 hours Jerome spends studying math, he studies sci
gulaghasi [49]

Answer:

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Step-by-step explanation:

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Use the distributive property to remove the parentheses -5(2x-3w-6)
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Answer:

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Step-by-step explanation:

-5(2x - 3w - 6)

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= -10x + 15w + 30

= 15w - 10x + 30.

Hope this helps!

7 0
3 years ago
Read 2 more answers
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