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3 years ago

Claire is shopping for a new flat-screen television the day after Thanksgiving.

Mathematics

1 answer:

madreJ [45]3 years ago

6 0

The size of the TV measured along its diagonal is 47 inches.

Step-by-step explanation:

Step 1:

The TV is in the shape of a rectangle. It has a length of 41 inches and a width of 23 inches.

The rectangle can be split into two right-angled triangles.

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the square of the other two sides. The diagonal is the hypotenuse of the triangles drawn.

Step 2:

Assume the hypotenuse is x inches long.

So according to the Pythagorean theorem, $x^{2} = 41^{2} +23^{2} = 2,210.$

$x^{2} = 2210, x = 47.0106.$

Rounding this off, we get the value of the diagonal as 47 inches.

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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

suppose you have a bag of 25 marbles and 3 of the marbles are white.If you choose one without looking, what is the probability y

allochka39001 [22]

Answer:

3/25

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Step-by-step explanation:

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scZoUnD [109]

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So, we need to substitute 10 into 210 -15t in place of t.

On simplifying 210 -15(10), we get that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.

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What's the answer to this question and how do I solve it?

Katyanochek1 [597]

Answer:

80 gummy bears are in 4 servings.

Step-by-step explanation:

2 servings=40 gummy bears

3 servings=60 gummy bears

40+20=60

Add 20 gummy bears for every serving.

5 servings=100 gummy bears

100-20=80 gummy bears are in 4 servings

OR you can also do:

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So, 4x20=80 gummy bears are in 4 servings

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3 years ago

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Answer:

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Step-by-step explanation:

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