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2 years ago

Han's garden has an area of 193.75

Mathematics

1 answer:

ycow [4]2 years ago

3 0

Answer:

15.5

Step-by-step explanation:

The equation to find area is Length × Width= Area

we have the area and the length, 12.5 × width= 293.75

to find the width, you will have to reverse engineer and divide the area by the length instead.

193.75 ÷ 12.5 =15.5

just to double check, 15.5 × 12.5 = 193.75

the width is 15.5

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Write the number 0.00003852 in standard form.

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Answer: 3.852

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3 years ago

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uysha [10]

Answer:

Step-by-step explanation:

4 x 4=16 and half of 4 is 2 so the answer is C)4

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3 years ago

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The sum of two numbers is 49 and the difference is 25 . What are the numbers?

OLEGan [10]

Answer:

x = 37 y = 12

Step-by-step explanation:

Let x be one number

Let y = other number

x+y = 49

x-y = 25

Add the equations together

x+y = 49

x-y = 25

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2x = 74

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2x/2 = 74/2

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3 years ago

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It

Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 450 gram

Sample mean, $\bar{x}$ = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

$\sigma^2 = 256\\\sigma = \sqrt{256} = 16$

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}$

We use one-tailed t test to perform this hypothesis.

Formula:

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

Putting all the values, we have

$t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25$

Now,

Degree of freedom =

$=n-1 = 16-1=15$

We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .

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3 years ago

Solve the problem x/27=4/9 x=

Monica [59]

Answer: x=12

Step-by-step explanation:

Multiply both sides by 27.
Use this rule: a/b*c=ac/b
Simplify 4×27 to 108.
Simplify 108/9 to 12

$x=\frac{4}{9} *27\\\\x=\frac{4*27}{9} \\\\x=\frac{108}{9} \\\\x=12$

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

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3 years ago