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pshichka [43]
3 years ago
6

What is the range of f(x) = 3x+9

Mathematics
1 answer:
jeka943 years ago
5 0
The range is the y values that can be gotten from inserting the domain
we will assume the domain to be all real numbers

when x approahces infinity, y approaches inifnity
when x approaches negative inifnity, y appraoches negative infinity

no holes
range is all real numbers
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Based on the graph, which inequality is correct for a number that is to the right of -4
Anon25 [30]

2 > -4

2 is greater than -4

3 0
3 years ago
A average amount of money on deposit in a savings account is $7500. Suppose a random sample of 49 accounts shows the average in
Valentin [98]

Answer:  

z=-3.79

p_v =2*P(z  

Step-by-step explanation:  

1) Data given and notation  

\bar X=6850 represent the mean average amount of money on deposit in savings account for the sample  

\sigma=1200 represent the population standard deviation for the sample  

n=49 sample size  

\mu_o =7500 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

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

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean for the amount of money on deposit in savings account differs from 7500, the system of hypothesis would be:  

Null hypothesis:\mu =7500  

Alternative hypothesis:\mu \neq 7500  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-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".  

3) Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{6850-7500}{\frac{1200}{\sqrt{49}}}=-3.79  

4)P-value  

Since is a two-sided test the p value would be:  

p_v =2*P(z  

5) Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the average amount of money deposit in savings account its significantly different from 7500 tons at 1% of signficance.  

7 0
3 years ago
I don't know how to do this. Can someone explain how to please?​
Natalija [7]

Answer:

f(5) = -2

Step-by-step explanation:

You look on the x-axis for 5 because f(5) means let x = 5. Then go down to the graph (the red zig-zaggy line) At the red line (you're still directly under the 5) look over to the y-axis to find the value. That's your answer. It is -2. The point (5, -2) is on the red graph.

f(5) = -2

3 0
2 years ago
Formula for the volume of a square pyramid, v=1/3lwh for w
tatuchka [14]

\dfrac{1}{3}lwh=V\qquad|\text{multiply both sides by 3}\\\\lwh=3V\qquad|\text{divide both sides by}\ lh\neq0\\\\\boxed{w=\dfrac{3V}{lh}}

3 0
3 years ago
Brian needs to find the value of a number, a, so that when (x^2+3x) is added to the binomial (3x^2+ax), the sum simplifies to 4x
Julli [10]

Answer:

a = 9

Step-by-step explanation:

First we need to add  (x^2+3x)  to (3x^2+ax),

(x^2+3x)+(3x^2+ax)

Expand

= x^2+3x+3x^2+ax

Collect the like terms

= x^2+3x^2+3x+ax

= 4x^2 + 3x + ax

= 4x^2+(3+a)x

Equate the solution to 4x^2+12x

4x^2+(3+a)x = 4x^2+12x

Comparing the like terms on both sides

(3+a)x =12x

3 + a = 12

a = 12 - 3

a = 9

Hence the value of a is 9

6 0
2 years ago
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