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nydimaria [60]
3 years ago
8

water balloon was thrown from a window. The height of the water balloon over time can be modeled by the function y=-16x^(2)+160x

+50. What was the maximum height of the water balloon after it was thrown?
Mathematics
1 answer:
vesna_86 [32]3 years ago
5 0

Answer:

450 Is the maximum height.

Step-by-step explanation:

Use x=-b/(2a) to get your answer.

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Which graph represents the solution set of -2y > 7x + 4?
Firdavs [7]

The equation of a line in point-slope form is expressed as:

y = mx + b

  • m is the slope of the line
  • b is the y-intercept

Given the inequality -2y > 7x + 4, this can also be expressed as:

-2y > 7x + 4

y < -7/2x -4/2

y< -7/2x - 2

This shows that the line will be a dashed line and cuts the y-axis at y= -2

Learn more on inequality graph here: brainly.com/question/11234618

4 0
2 years ago
Either use technology to find the P-value or use
Akimi4 [234]

Answer:

The first step is calculate the degrees of freedom, on this case:  

df=n-1=21-1=20  

Since is a one side left tailed test the p value would be:  

p_v =P(t_{(20)}  

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Step-by-step explanation:

Data given and notation  

\bar X represent the mean

s represent the sample standard deviation

n=21 sample size  

\mu_o =140 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t=-0.024 would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean for the widths of tornadoes is lower than 140 yd, the system of hypothesis would be:  

Null hypothesis:\mu \geq 140  

Alternative hypothesis:\mu < 140  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

The statistic is given by: t = -0.024

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=21-1=20  

Since is a one side left tailed test the p value would be:  

p_v =P(t_{(20)}  

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Based on the p value obtained we can conclude that we FAIL to reject the null hypothesis at any significance level selected \alpah=0.01,0.05,0.1

7 0
3 years ago
3х + 7y - 21<br> I need helpppp pronto please
PtichkaEL [24]

That's the simplest it can go.

5 0
3 years ago
Read 2 more answers
A 208-long road is divided into 16 parts of equal length.Mr.Ward paints a 4-meter-long strip in each part.How many total meters
Readme [11.4K]
208 % 16 = 13
13 - 4 = meters not painted in a part = 9
9 × 16 (parts) = 144 meters of road not painted
6 0
3 years ago
Read 2 more answers
Simplify the expression (62)4.
BARSIC [14]

Answer:

(31)2 is the answer to (62)4

Step-by-step explanation:

5 0
3 years ago
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