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4 years ago

Mark is using two different baking pans to bake bread for a bake sale.

Mathematics

1 answer:

pav-90 [236]4 years ago

5 0

Answer:

The answer is 410

Step-by-step explanation:

10 x 7 x 3 + 10 x 10 x 2 = 410

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Write an algebraic expression for the given quantity. Let x represent the unknown value. One-eight of the sum of a number and th

Mashcka [7]

Answer:

Required expression for one-eight of the sum of a number and three is $\frac{x}{8} + 3$

Solution:

Given that unknown value is represented by variable x.

Need to create algebraic expression for One-eight of the sum of a number and three.

Let’s first find one eight of the number that is 1/8th of x = $\frac{x}8}$

Now on adding three we get

$\frac{x}{8} + 3$

Hence required expression for one-eight of the sum of a number and three is $\frac{x}{8} + 3$

7 0

3 years ago

A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.

denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let $\mu$ = population mean light bulb life.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 500 hours {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, $H_A$ : $\mu$ < 500 hours {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean bulb life = 490 hours

σ = population standard deviation = 50 hours

n = sample of light bulbs = 100

So, the test statistics = $\frac{490-500}{\frac{50}{\sqrt{100} } }$

= -2

The value of z test statistics is -2.

Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0

3 years ago

You’ve observed the following returns on Crash-n-Burn Computer’s stock over the past five years: 14 percent, –9 percent, 16 perc

MatroZZZ [7]

Answer:

a. 9%

b. 0.01445

c. 12.02%

Step-by-step explanation:

n = 5 years

Return rates = 14%, –9%, 16%, 21%, and 3%

a. Arithmetic average return

$A= \frac{14-9+16+21+3}{5} \\A=9.00$

b. Historical variance (to 5 decimal places)

$V= \frac{\sum (X_i-A)^2}{n-1} \\V= \frac{(0.14-0.09)^2+(-0.09-0.09)^2+(0.16-0.09)^2(0.21-0.09)^2(0.03-0.09)^2}{5-1}\\ V=0.01445$

c. Standard deviation.

$s = \sqrt{V} \\s= \sqrt{0.01445}\\s=0.1202 = 12.02\%$

8 0

3 years ago

A cone is sliced so the cross section is parallel to its base.

Alika [10]

The shape of the cross-section formed is a triangle, when a cone is cut in such a way that the cross-section is perpendicular to the base and it passes through the vertex.

3 0

3 years ago

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A truck driver starts with a full tank of 150 gallons of gas. She uses 70 gallons on a trip. When she leaves for her next trip,

Grace [21]

150 is the answer that will be correct

8 0

2 years ago

Read 2 more answers