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4 years ago

44mi/h to yd/min convert unit rates

Mathematics

1 answer:

Musya8 [376]4 years ago

4 0

Answer:

1290.67 Yards/min

Step-by-step explanation:

We are given us a dimension in mile per hours. We are asked to convert it into yards per minutes unit.

Hence first we should convert mile inti yards and hour into minutes

1 mile = 1760 yards

44 mile = 1760 x 44 yards

= 7744 yards

1 hour = 60 minutes

Hence

44 mi/h = $\frac{7744}{60}$

= 1290.67

Hence 44 mi/h = 1290.67 yards/min

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—5 + 3x + 2 = 12<br> Solve for x

klio [65]

Answer:

x=5

Step-by-step explanation:

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3 years ago

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25% of what number is 300

Dmitry_Shevchenko [17]

25% is equal to 1/4, so if 300 is 1/4 and we need to find the total, then we should divide 300 by 4.
300 • 4 = 1200, thus 25% of 1200 is 300!

Hope this helps.

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4 years ago

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An online health and medicine company claims that about 50% of Internet users would go to an online sight first for information

olga55 [171]

Answer:

The p-value of the test is 0.0018, which means that for a level of significance higher than this, there is sufficient evidence to claim that less than 50% of Internet users get their health questions answered online.

Step-by-step explanation:

Test the claim that less than 50% of Internet users get their health questions answered online.

At the null hypothesis, we test that 50% of Internet users get their health questions answered online, that is:

$H_0: p = 0.5$

At the alternate hypothesis, we test that this proportion is less than 50%, that is:

$H_a: p < 0.5$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that $\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5$

A random sample of 1318 Internet users was asked where they will go for information the next time they need information about health or medicine; 606 said that they would use the Internet.

This means that $n = 1318, X = \frac{606}{1318} = 0.4598$

Test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.4598 - 0.5}{\frac{0.5}{\sqrt{1318}}}$

$z = -2.92$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.4598, which is the p-value of z = -2.92.

Looking at the z-table, z = -2.92 has a p-value of 0.0018.

8 0

3 years ago

Guysss plsss HEELPPP ME ILL MARK BRAINLIEST PLLLSSSSSS HELP

Vitek1552 [10]

Answer:

$y=-2\,(x-6)^2+246$

with the video game cost of x = $6

This agrees with the last option in the list of possible answers

Step-by-step explanation:

Recall that the maximum of a parabola resides at its vertex. So let's find the x and y position of that vertex, by using first the fact that the x value of the vertex of a parabola of general form:

$y=ax^2+bx+c$

is given by:

$x_{vertex}=\frac{-b}{2\,a}$

In our case, the quadratic expression that generates the parabola is:

$y=-2x^2+24x+174$

then the x-position of its vertex is:

$x_{vertex}=\frac{-b}{2\,a}\\x_{vertex}=\frac{-24}{2\,(-2)}\\x_{vertex}=\frac{-24}{-4)}\\x_{vertex}=6$

This is the price of the video game that produces the maximum profit (x = $6). Now let's find the y-position of the vertex using the actual equation for this value of x:

$y=-2x^2+24x+174\\y_{vertex}=-2\,(6)^2+24\,(6)+174\\y_{vertex}=-72+144+174\\y_{vertex}=246$

This value is the highest weekly profit (y = $246).

Now, recall that we can write the equation of the parabola in what is called "vertex form" using the actual values of the vertex position $(x_{vertex},y_{vertex})$ :