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sattari [20]
3 years ago
11

What is it asking me to put in the chart

Mathematics
1 answer:
grin007 [14]3 years ago
8 0
It wants you to mark how many times a number has occurred with in the range and then chart it.

For Instance:

0-4        0        =  0 marks
5-9        11       = 2 mark
10-14    11      =  2 markssss
15-19    111    =  3 marks

View my image.

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What are the coordinates of the vertex for the function shown below ?
Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

We can answer this in two ways:  Differentiation and Graphing.

<u>Differentitate:</u>

The first derivative of a function yields a function that provides the slope for any point on the line of the original function.  The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.

f(x) = 3(x-1)^2 + 4

f(x) = 3(x-1)(x-1) + 4

f(x) = 3(x^2 - 2x + 1) + 4

f(x) = 3x^2 - 6x + 7

f'(x) = 6x -6

Set this = 0 and find x:

0 = 6x -6

x = 1

The value of y when x=1 in the original equation is:

f(1) = 3(1-1)^2 + 4

y = 4

The vertex is (1,4)

<u>Graph:</u>

You can use DESMOS to plot the function.  The result is attached.  Look for the vertex and read the coordinates.  (1,4) seems to work.

6 0
3 years ago
Write an equation for a cosine function with an amplitude of 5, a period of 3, a phase shift of 2, and a vertical displacement o
kramer

Answer:

y = 5 cos ((2π/3)x - 2) + 2

Step-by-step explanation:

Cosine function takes a general form of  y = A cos (Bx + C) + D

Where

A is the amplitude

2π/B is the period

C is the phase shift ( if -C, then phase shift right, if +C phase shift left)

D is the vertical displacement (+D is above and -D is below)

Given the conditions of the function to build and the general form, we can write:

** Note: period needs to be 3, so 2π/B = 3, hence B = 2π/3

Now we can write:

y = 5 cos ((2π/3)x - 2) + 2

first answer choice is right.

8 0
3 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
Plz help asap !!! The high school jazz band is selling homemade leather bracelets at a local craft fair to raise money for a tri
coldgirl [10]

Answer:

b. y=2x-200

c. there will be no profit because 2 times 100 = 200, meaning they only earned back the money they already spent.

d. (domain or y-values) minimum: -200 maximum: 320

(range or x-values) maximum: 260

3 0
3 years ago
Jose sold 102 raffle tickets for his basketball team. If he was given 125 tickets to sell, about what percentage of his tickets
Setler [38]
He sold about <span>80%  of his tickets</span>
4 0
3 years ago
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