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3 years ago

Maria and her friend ride their bikes. They start at 12:47 and end at 2:29. How long did they ride their bikes for?

Mathematics

1 answer:

IRINA_888 [86]3 years ago

4 0

Answer:

Their bide ride was 1 hour and 42 minutes

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Simplify -2(-6+5k)-1

vivado [14]

<span>-2(-6+5k)-1
Use distributive property(Multiply the -2 by the -6 and 5k)*Note: When you multiply a negatavie number by another negative number, it creates a positive number.
12 - 10k - 1
Subtract 1 from 12.
Final Answer: 11 - 10k
This equation cannot be simplified down any longer.</span>

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3 years ago

Which of the following sets of measurements can form exactly 1 triangle..1)a=12,b=27, A=37 degrees..2)a=11,b=15,A=36 degrees.3)a

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Answer:

Step-by-step explanation:

you grab to different angles and add them up, they have to be greater than the last angle. you must check all different combinations

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Step-by-step explanation:

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A government watchdog association claims that 70% of people in the U.S. agree that the government is inefficient and wasteful. Y

nata0808 [166]

Answer:

Option D) There is sufficient evidence that the true population proportion is not equal to 70%.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1165

p = 70% = 0.7

Alpha, α = 0.02

Number of people who agreed , x = 746

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.7\\H_A: p \neq 0.7$

This is a two-tailed test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{746}{1165} = 0.64$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.64-0.7}{\sqrt{\frac{0.7(1-0.7)}{1165}}} = -4.46$

Now, $z_{critical} \text{ at 0.02 level of significance } = \pm 2.33$

Since,

Since, the calculated z statistic does not lie in the acceptance region, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, there is enough evidence to support the claim that the true proportion differs from 70%.

Option D) There is sufficient evidence that the true population proportion is not equal to 70%.

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3 years ago