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Sonja [21]
3 years ago
14

On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-interc

ept at (0, 15), and an x-intercept at (3, 0). The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function? The domain is all real numbers. The range is {y|y < 16}. The domain is all real numbers. The range is {y|y ≤ 16}. The domain is {x|–5 < x < 3}. The range is {y|y < 16}. The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.
Mathematics
2 answers:
tigry1 [53]3 years ago
4 1

Answer:

I have no idea sorry maybe ome body

Step-by-step explanation:

but first u divide and that's all i know

Basile [38]3 years ago
3 0

Answer:

Step-by-step explanation:

it is b

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Graph the equation by translating Y =|x|. Y=|x+1|-3
goldenfox [79]

Answer:

look at the graph i made with desmos, i just plugged the equation in.

Step-by-step explanation:

6 0
3 years ago
The capacity of a jug is 6L. Kerry needs 5L of juice for a party. how many jugs will she have to make?
zimovet [89]

Answer:

One

Step-by-step explanation:

Given data

The capacity of Jug= 6L

Needed capacity of Juice= 5L

Hence  one Jug of Juice will be enough because one jug of juice will cover for 6L and 1 L will actually remain

5 0
3 years ago
Dont get it wrong, if its wrong i fail, explain how you got your answer
damaskus [11]

Answer: 50.24

Area of a circle is pi times r^2

The r is 1/2 the d

So 8/2 = 4

Pi times 4^2= 50.24

7 0
3 years ago
(ASAP NEED TO SUBMIT NOW!!!) What is the Unit Rate for each cyclist?
sveta [45]

Answer:

Unit rates for cyclist A , B, C , D are 12 mile/ hour , 5 mile/hour, 9 mile/hour and 10 mile/hour respectively. Cyclist A is the fastest among the four.

Step-by-step explanation:

Cyclist A can ride 24 miles in 2 hours

so, cyclist A's  unit rate is, \frac {24}{2}

                                       = 12 mile/hour

Cyclist B's unit rate is, \frac {5}{1}

                                 = \frac {10}{2}

                                 = \frac {15}{3}

                                =  5 mile/hour

Equation for cyclist C is, y = 9x ,

so, cyclist C's unit rate is , 9 mile/hour

Slope of the graph for cyclist D,

= \frac {10 -0}{1 - 0}

 = 10

So cyclist D's unit rate is, 10 mile/hour

So, cyclist  A is the fastest.

8 0
3 years ago
A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately
Genrish500 [490]

Answer:

a) 0.057

b) 0.5234

c) 0.4766

Step-by-step explanation:

a)

To find the p-value if the sample average is 185, we first compute the z-score associated to this value, we use the formula

z=\frac{\bar x-\mu}{\sigma/\sqrt N}

where

\bar x=mean\; of\;the \;sample

\mu=mean\; established\; in\; H_0

\sigma=standard \; deviation

N = size of the sample.

So,

z=\frac{185-175}{20/\sqrt {10}}=1.5811

\boxed {z=1.5811}

As the sample suggests that the real mean could be greater than the established in the null hypothesis, then we are interested in the area under the normal curve to the right of  1.5811 and this would be your p-value.

We compute the area of the normal curve for values to the right of  1.5811 either with a table or with a computer and find that this area is equal to 0.0569 = 0.057 rounded to 3 decimals.

So the p-value is  

\boxed {p=0.057}

b)

Since the z-score associated to an α value of 0.05 is 1.64 and the z-score of the alternative hypothesis is 1.5811 which is less than 1.64 (z critical), we cannot reject the null, so we are making a Type II error since 175 is not the true mean.

We can compute the probability of such an error following the next steps:

<u>Step 1 </u>

Compute \bar x_{critical}

1.64=z_{critical}=\frac{\bar x_{critical}-\mu_0}{\sigma/\sqrt{n}}

\frac{\bar x_{critical}-\mu_0}{\sigma/\sqrt{n}}=\frac{\bar x_{critical}-175}{6.3245}=1.64\Rightarrow \bar x_{critical}=185.3721

So <em>we would make a Type II error if our sample mean is less than 185.3721</em>.  

<u>Step 2</u>

Compute the probability that your sample mean is less than 185.3711  

P(\bar x < 185.3711)=P(z< \frac{185.3711-185}{6.3245})=P(z

So, <em>the probability of making a Type II error is 0.5234 = 52.34% </em>

c)

<em>The power of a hypothesis test is 1 minus the probability of a Type II error</em>. So, the power of the test is

1 - 0.5234 = 0.4766

3 0
3 years ago
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