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vredina [299]
3 years ago
5

Evaluate x2 + 3x ; x = -3

Mathematics
1 answer:
stepladder [879]3 years ago
5 0
The answer would be -15
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The CEO of the Jen and Benny's ice cream company is concerned about the net weight of ice cream in their 50 ounce ice cream tubs
MissTica

Answer:

t=\frac{54.98-52}{\frac{8.43}{\sqrt{26}}}=1.8025  

We need to find the degrees of freedom given by:

df = n-1= 26-1 = 25

Since is a right tailed test the p value would be:  

p_v =P(t_{25}>1.8025)=0.0418  

If we compare the p value and the significance level given \alpha=0.05 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 is higher than 52 at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=54.98 represent the sample mean

s=8.43 represent the sample deviation

n=26 sample size  

\mu_o =52 represent the value that we want to test  

\alpha=0.05 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)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 52, the system of hypothesis would be:  

Null hypothesis:\mu \leq 52  

Alternative hypothesis:\mu > 52  

Since we don't know the population deviation, 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  

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

t=\frac{54.98-52}{\frac{8.43}{\sqrt{26}}}=1.8025  

P-value  

We need to find the degrees of freedom given by:

df = n-1= 26-1 = 25

Since is a right tailed test the p value would be:  

p_v =P(t_{25}>1.8025)=0.0418  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 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 is higher than 52 at 5% of signficance.  

7 0
3 years ago
Read 2 more answers
NEED ANSWER ASAP!!! WILL GIVE BRAINLIEST TO WHO ANSWERS FIRST!
alexandr1967 [171]

Answer:

x < - 4

Step-by-step explanation:

Given

2x - 2 > 4x + 6 ( subtract 2x from both sides )

- 2 > 2x + 6 ( subtract 6 from both sides )

- 8 > 2x ( divide both sides by 2 )

- 4 > x , thus

x < - 4

8 0
3 years ago
4+(−3)+(−2)<br> help me plllllzzzzzzzzz
lara31 [8.8K]

Answer:

the awnser is -1

Step-by-step explanation:

4+(-3)=1

1+-2=-1

8 0
2 years ago
Read 2 more answers
The function f(x)=2x−5 is a linear function. Let g(x) represent f(x) after a horizontal translation 3 units to the right.
Ray Of Light [21]

Answer:

the equation of g(x) is, g(x) = 2x-11  

Step-by-step explanation:

The transformation of the function is defined as:

g(x)=f(x+b)

where, b represents the horizontal shift.

if b> 0 then, the function f(x) shifts b units left and if b< 0 ; then the function shifts b units right  

As per the statement:

The function f(x)=2x−5 is a linear function.

It is given that:

g(x) represent f(x) after a horizontal translation 3 units to the right.

⇒g(x) =f(x-3)

then

g(x) = 2(x-3)-5

⇒g(x) = 2x-6-5

⇒g(x) = 2x-11

Therefore, the equation of g(x) is, g(x) = 2x-11

8 0
3 years ago
Find the principal. Annual rate of interest= 11% Period=3 years Total interest= 825 rupees Principal rupees​
Tamiku [17]

Answer:

I = $ 1,937.50

Step-by-step explanation:

3 0
3 years ago
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