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3 years ago

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Brynn and Denise launch their rockets at the same time. The height of Brynn’s rocket, in meters, is given by the function f(x)=−

4.9 x 2 +75x , where x is the number of seconds after the launch. The height of Denise’s rocket, in meters, is given by the function g(x)=−4.9 x 2 +50x+38 , where x is the number of seconds after the launch. There is a moment when the rockets are at the same height. What is this height? Enter your answer, rounded to the nearest tenth of a meter, in the box

1 answer:

alekssr [168]3 years ago

5 0

Answer: 102.7 meters

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Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed w

cupoosta [38]

Answer:

The cutoff sales level is 10.7436 millions of dollars

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 12, \sigma = 1.2$

15th percentile:

X when Z has a pvalue of 0.15. So X when Z = -1.047.

$Z = \frac{X - \mu}{\sigma}$

$-1.047 = \frac{X - 12}{1.2}$

$X - 12 = -1.047*1.2$

$X = 10.7436$

The cutoff sales level is 10.7436 millions of dollars

6 0

3 years ago

BRIANLIESTTT ASAP! PLEASE HELP ME :)

vagabundo [1.1K]

Answer:

A. $\displaystyle observational\:study$

Step-by-step explanation:

This takes alot of extended research before you even think about using the drug on patients.

I am joyous to assist you anytime.

7 0

3 years ago

A company makes steel lids that have a diameter of 13 inches. What is the area of each lid? Round your answer to the nearest hun

zheka24 [161]

Answer:

132.73

Step-by-step explanation:

the equation for area of a circle is A=πr*2

if your diameter is 13 simply take half of that and plug into the equation

π(6.5)*2 which when put into a calculator comes out to 132.732289

5 0

3 years ago

Read 2 more answers

The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:

Montano1993 [528]

Answer:

$0.2$ miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.

Step-by-step explanation:

As there is no graph mentioned here but the information are quite sufficient to answer the question.

We have points $(0,3), (5,4),(10,5)...$

From these points we can find the slope of the line .

From point slope formula $y-y_1=m(x-x_1)$

And assigning $(x,y) (0,3)$ and $(x_1,y_1) (5,4)$

$m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2$

This slope is also the speed of the bird which is $0.2\ miles\ per\ minute.$

As by plugging the values of any coordinate point we can confirm this.

Lets put $(10,5)$ , y-axis is the distance so in $10$ minutes the the distance covered by the bird must be equal to to y-axis value which is $5$ miles.

$y=0.2(x),y=0.2(10)=5\ miles$

Now as in $t=0$ the bird has started from y-intercept value $3$ so we can say that,the original distance of the bird from its nest is $3\ miles$ .

So the correct choices are: $B$ and $D$

The birds speed is $0.2\ miles$ per minute and is $3\ miles$ away from its nest.

7 0

3 years ago

Given a list of candy in a field called Item and prices called Price on an empty PivotTable, how would you find out how many of

SIZIF [17.4K]

Answer:

Drag Item to both the VALUES and the ROWS area

Step-by-step explanation:

To find out how many of each type of candy you have; Drag Item to both the VALUES and the ROWS area

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3 years ago