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2 years ago

Dan had a large piece of wood that was 10 feet

Mathematics

1 answer:

Doss [256]2 years ago

7 0

Answer:

40 pieces of wood

Step-by-step explanation:

Find how many pieces he cut by dividing 10 by 1/4

10 / (1/4)

= 40

So, Dan cut 40 pieces of wood

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A little boy stands on a carousel and rotates around the road four times. The distance between the little boy and the center of

marysya [2.9K]

150.72

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3 years ago

Which is the simplified form of (9c^-9)^-3 b 1/729 c^27

rosijanka [135]

ANSWER

$(9 {c}^{ - 9} )^{ - 3}=\frac{{c}^{ 27} }{729}$

EXPLANATION

The given expression is

$(9 {c}^{ - 9} )^{ - 3}$

Recall that:

$({a}^{m} )^{n} = {a}^{mn}$

We use the law of exponents to get

$(9 {c}^{ - 9} )^{ - 3} = 9^{ - 3} {c}^{ - 9 \times - 3}$

Let us multiply in the exponents to get:

$(9 {c}^{ - 9} )^{ - 3} = 9^{ - 3} {c}^{ 27}$

Recall again that:

${a}^{ - m} = \frac{1}{ {a}^{m} }$

This implies that:

$(9 {c}^{ - 9} )^{ - 3} = \frac{1}{ {9}^{ 3} } \times {c}^{ 27}$

We expand the power to get:

$(9 {c}^{ - 9} )^{ - 3} = \frac{1}{9 \times 9 \times 9} \times {c}^{ 27}$

$(9 {c}^{ - 9} )^{ - 3}=\frac{1}{729} \times {c}^{ 27}$

We multiply out to get:

$(9 {c}^{ - 9} )^{ - 3}=\frac{{c}^{ 27} }{729}$

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2 years ago

Descent, Inc., produces a variety of climbing and mountaineering equipment. One of its products is a traditional three-strand cl

Rainbow [258]

Solution :

Assuming $\sigma_1^2=\sigma_2^2$

We have to test

$H_0:\mu_1=\mu_2$

Against $H_a: \mu_1 \neq \mu_2$

Level of significance, $\alpha = 0.05$

$s_p=\sqrt{\frac{(n_1-1)s_1^2+ (n_2-1)s_2^2}{n_1+n_2-2}}$

$s_p=\sqrt{\frac{(25-1)(425)^2+ (20-1)(415)^2}{25+20-2}}$

= 420.6107

Under $H_0$ , the t-statistics is as follows:

$t=\frac{(\overline{x_1} - \overline{x_2})}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}} \sim$ $\text{t with }(n_1+n_2-2) \ DF$

$t=\frac{(7200-7087)}{(420.6107)\sqrt{\frac{1}{25}+\frac{1}{20}}}$

= 0.90

DF = (25 + 20 - 2)

= 43

P-value of the test = 0.375

Since the p value is more than 0.05, we fail to reject our null hypothesis.

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2 years ago

What is the base of a 36in triangle

ExtremeBDS [4]

Your correct answer is 12.

3 0

3 years ago

Calculate the number in the middle of 11 and 24

lutik1710 [3]

Answer:

17.5

Step-by-step explanation:

11 + 24 = 35 /2

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3 years ago

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