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Lelechka [254]
3 years ago
14

HELPPPPP!!!! ASAP

Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0

Answer: The projectile reaches its maximum height after 20 seconds.

Step-by-step explanation:

Given the function:

h(t) = -16t^2 + 640t

You can following formula (which gives the x -coordinate of the vertex of the parabola) in order to find after how many seconds the projectile takes to reach its maximum height:

x=t=-\frac{b}{2a}

In this case you can identify that the values of "a" and "b" are:

a=-16\\b=640

Then, substituting values into the formula, you get the following result:

t=-\frac{640}{2(-16)}\\\\t=20

Therefore,based on this, the conclusion is: The projectile reaches its maximum height after 20 seconds.

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A person of height 1.6m up to the eye level is standing at a point 2m away from the bank of the river and found an angle of elev
natima [27]

Step-by-step explanation:

tan30° = Height of person / (Distance away from river bank + river's width) = 1/√3.

Therefore 1.6m / (2m + x) = 1/√3

By cross multiplication, 1.6√3 = 2 + x.

Hence, x ≈ 0.77m.

5 0
3 years ago
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre
melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let \mu = <u><em>mean power consumption for microwave ovens.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 W     {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, H_A : \mu > 250 W     {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                                T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean power consumption for ovens = 257.3 W

            σ = population standard deviation = 15 W

            n = sample of microwave ovens = 20

So, <em><u>the test statistics</u></em>  =  \frac{257.3-250}{\frac{15}{\sqrt{20} } }

                                      =  2.176

The value of z test statistics is 2.176.

<u>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</u>

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

7 0
3 years ago
Please Help me! I don't understand and am giving up the rest of my points for help!
Pachacha [2.7K]

Answer:

x=4 y=6

Step-by-step explanation:

8 0
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Complete the table of equivalent ratios.<br> 3<br> 5<br><br> 10<br> 9<br><br><br> 20<br><br> 25
RUDIKE [14]

Answer:

Step-by-step explanation:

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