MATHEMATICS COLLEGE

Ella has 164 ounces of lemonade. She fills glasses with8 ounces of lemonade each until all the lemonade is gone.
The last glass is not full. How much lemonade is in the
last glass?

Answers

Answer 1
Answer:

Answer:

4 ounces

Step-by-step explanation:

We're looking for the remainder of ounces.

To find how many FULL glasses will be made, we divide 8 by 164 and look at the integer part of the number.

164/8=20.5

So 2 full glasses were made.

To find the remainder, we multiply 20 by 8 and subtract from 164.

20\cdot8=160\n\n164-160=4

Hope this helped!
Answer 2
Answer:

Answer:

4 ounces

Step-by-step explanation:

If you divide the 164 ounces by the 8 ounces per glass, you get 20.5 glasses filled. So, half of the last glass would be 4.

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1/2x + 1 ⥸ 5show your work
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You planned to work on a project for about 4 and a 1/2 hours today.If you have been working on it for 1 and 3/4 hours, how much more time will it take?

How effective is the regression model for these data? not effective, because only 13.4% of the variation in the data is explained by the model not effective, because only 36.6% of the variation in the data is explained by the model extremely effective, because 13.4% of the variation in the data is explained by the model extremely effective, because 36.6% of the variation in the data is explained by the model

Answers

Answer:45

Step-by-step explanation:

An advertisement claims that Fasto Stomach Calm will provide relief from indigestion in less than 10 minutes. For a test of the claim, 35 randomly selected individuals were given the product; the average time until relief was 9.25 minutes. From past studies, the standard deviation of the population is known to be 2 minutes. Can you conclude that the claim is justified? Find the P-value and let a = 0.05.

Answers

Answer:

z=(9.25-10)/((2)/(√(35)))=-2.219  

p_v =P(z<-2.219)=0.0132  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v<\alpha so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly lower than 10 minutes.    

Step-by-step explanation:

Data given and notation  

\bar X=9.25 represent the sample mean  

\sigma=2 represent the population standard deviation

n=35 sample size  

\mu_o =10 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 less than 10 minutes, the system of hypothesis would be:  

Null hypothesis:\mu \geq 10  

Alternative hypothesis:\mu < 10  

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=(\bar X-\mu_o)/((\sigma)/(√(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".  

Calculate the statistic  

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

z=(9.25-10)/((2)/(√(35)))=-2.219  

P-value  

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

p_v =P(z<-2.219)=0.0132  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v<\alpha so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly lower than 10 minutes.    

2(x + 25) =100 hellppppppp meee

Answers

Answer:

x=25

Step-by-step explanation:

2(x+25)=100

2x+50=100

2x=50

x=25

Holly works at a garage.Mr Bakir brings his car in for a service.
He also buys 2 tyres and a battery.
Holly has this list of costs
• service £110
• tyres £49.99 each
• battery £89
She uses this list to start to work out the bill for Mr Bakir.
Holly also has to charge 20% VAT on the costs to work out the total bill.
Work out the total bill. (You MUST show your working in the box below)
(4 Points)

Answers

The total bill that Mr Bakir paid was £358.78, using mathematical operations.

How the total bill is determined:

The total bill can be determined using mathematical operations, including multiplication and addition as follows:

The cost of car service = £110

The cost of 2 tyres bought =  £99.98 (£49.99 x 2)

The cost of a battery = £89

Sub- total = £298.98

VAT (20%) = £59.80

Total = £358.78

Thus, including 20% VAT, the total bill for Mr. Bakir was £358.78.

Learn more about mathematical operations at brainly.com/question/30553381.

#SPJ1

Stefania pours 2 liters of orange juice and 1.5 liters of pineapple juice into a punch bowl. How many kiloliters are in thepunch bowl? Use the metric table to help answer the question
hecto-
100
deka-
10
Metric Table
unit
1
deci-
0.1
centi-
0.01
milli-
0.001
1,000
0.0035 kiloliters
0.035 kiloliters
O 0.35 kiloliters
3.5 kiloliters

Answers

Answer:

the correct answer is A (0.0035 kiloliters)

Step-by-step explanation:

i  hope this helps

Answer:

A us the correct answer

Step-by-step explanation:

I took the test earlier today and got it right

-189=4x-3(-4+15) WHAT IS THE ANSWER TO THIS PROBLEM?

Answers

Answer:

4/15

Step-by-step explanation:

Answer: x= -39

Step-by-step explanation: Let's solve your equation step-by-step.

−

189

=

4

x

−

3

(

−

4

+

15

)

Step 1: Simplify both sides of the equation.

−

189

=

4

x

−

3

(

−

4

+

15

)

−

189

=

4

x

+

−

33

−

189

=

4

x

−

33

Step 2: Flip the equation.

4

x

−

33

=

−

189

Step 3: Add 33 to both sides.

4

x

−

33

+

33

=

−

189

+

33

4

x

=

−

156

Step 4: Divide both sides by 4.

4

x

4

=

−

156

4

x

=

−

39
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