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3 years ago

What is 10k+-1=4k+-43 and how?

1 answer:

azamat3 years ago

3 0

10k+(-1)=4k+(-43)
10k-1=4k-43
Subtract 45 from both sides and add 1 to both sides:
6k=-42
Divide by 6 on both sides
k= -7

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In recent years major league baseball games have averaged three hours in duration. However, because games in Denver tend to be h

lara31 [8.8K]

Answer:

We conclude that the games in Denver would be longer than major league baseball games.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 180 minutes

Sample mean, $\bar{x}$ = 185.54 minutes

Sample size, n = 81

Alpha, α = 0.05

Sample standard deviation, s = 24.6 minutes

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 180\text{ minutes}\\H_A: \mu > 18\text{ minutes}$

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

Formula:

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

Putting all the values, we have

$t_{stat} = \displaystyle\frac{185.54 - 180}{\frac{24.6}{\sqrt{81}} } = 2.026$

Now,

$t_{critical} \text{ at 0.05 level of significance, 80 degree of freedom } = 1.664$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis.

We conclude that the games in Denver would be longer than major league baseball games.

8 0

3 years ago

The table shows the elevation in feet at the peaks of several mountains.

polet [3.4K]

Answer:

a) The equation to find the elevation of Mt. Wilson is $28,784.31=x+11,510.21$

b) The elevation of Mt. Wilson is $17,274.10\ ft$

Step-by-step explanation:

Let

x ----> represent the elevation of Mt. Wilson

y ----> represent the elevation of Snow Crest

we know that

$y=x+11,510.21$ ----> equation A

we have

$y=28,784.31\ ft$

Substitute the value of y in equation A and solve for x

$28,784.31=x+11,510.21$

$x=28,784.31-11,510.21$

$x=17,274.10\ ft$

8 0

2 years ago

Divide. Write the answer in simplest form 2 1/2 ÷ 8

Dafna1 [17]

Answer:

Step-by-step explanation:

2.5/8

(5/2) / 8

(5/2) * (1/8)

5/16

3 0

2 years ago

Use the rules of exponents to evaluate or simplify.write without negative exponents. 1/4^-2=?

Talja [164]

9514 1404 393

Answer:

4² = 16

Step-by-step explanation:

The applicable rule of exponents is ...

1/a^-b = a^b

So, ...

$\dfrac{1}{4^{-2}}=\boxed{4^2 = 16}$

_____

<em>Additional comment</em>

If you were to evaluate this using the Order of Operations, you would evaluate the exponent first:

1/4^-2 = 1/(1/16)

Then, you would do the division.

1/(1/16) = 16

We sometimes find it convenient to manipulate exponential terms to the form with the smallest positive exponents before we begin the evaluation.

5 0

2 years ago

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sladkih [1.3K]

Answer: A

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2 years ago

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