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3 years ago

12

Sterling works at a bakery. In the morning, he baked 3 1/2 batches of cookies. He sold some of the cookies and had 1 1/2 batches

of cookies left when the bakery closed that night. The following number line represents this situation.

2 answers:

jonny [76]3 years ago

8 0

He sold 2 batches of cookies.

ch4aika [34]3 years ago

3 0

He sold 2 batches of cookies

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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.

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3 years ago

A parallelogram with an area of 60 square units is formed by four lines in a coordinate plane. The parallelogram has one vertex

Alika [10]

Answer:

The answer above is wrong, the line is actually supposed to be one to the left, so it would be going through (7,4) and (2,-2)

Step-by-step explanation:

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aniked [119]

=theta/360°×2pi ×r
theta=180-60=120°
r=24÷2=12

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1/3 × 2 × 22/7 × 12=
176/7=
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Step-by-step explanation:

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Consider the offered option:
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