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3 years ago

Elijah and Bentley go to the movie theater and purchase refreshments for their friends.

Mathematics

2 answers:

Katena32 [7]3 years ago

4 0

Answer: let P stand for the popcorn and D stand for the drink. Use substitution method

equation: 4P+10D=59 and 8P+6D=90

One drink is 2 dollar and one popcorn is 9.75 dollar.

Step-by-step explanation:

Start with 8P+6D=90, subtract 6D from both side and you will get 8P=90-6D then divide both side by 8 and you will get P=(45/4)-(3/4D) then substitute the P in the 4P+10D=59 with (45/4)-(3/4D) and the equation will be 4(45/4)-(3/4D)+10D=59. then distribute the 4 and get 45-3D+10D=59 then add the like term and get 45+7D=59 then subtract 45 from both side and get 7D=14 the divide 7 on both side and you will end up with D=2. then substitute the D in the 8P+6D=90 with 2 and the equation will be 8P+6(2)=90 then you distribute the 6 and get 8P+12=90 then subtract both side to get 8P=78 then divide both side by 8 and get 9.75. Popcorn cost $9.75 and drink cost $2.

labwork [276]3 years ago

3 0

Answer:

x4+y10=59

Step-by-step explanation:

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What is the interquartile range of the sequence 5,5,8,8,13,14,16,16,19,22,23,27,31 ?

Romashka-Z-Leto [24]

Answer:

The Interquartile range is 10.

Step-by-step explanation:

First, we will need to find the mean, the mean of this sequence is 16, you will now need to find quartile 1 and quartile 3. Quartile 1 is 13, and quartile 3 is 23. Lastly, subtract Quartile 3 and Quartile 1 will be the answer.

So, 23-13=10

The Answer will be 10, the interquartile range is 10.

Hope this helps!

4 0

2 years ago

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat

Mrrafil [7]

Answer:

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

Part 2

Calculate the statistic

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

$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

P-value

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

$p_v =2*P(z$

Step-by-step explanation:

Data given and notation

$\bar X=114$ represent the sample mean

$\sigma=22$ represent the population standard deviation

$n=36$ sample size

$\mu_o =120$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

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

Part 1

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

If we analyze the size for the sample is > 30 and we know the population deviation so 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".

Part 2

Calculate the statistic

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

$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

P-value

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

$p_v =2*P(z$

8 0

2 years ago

Solve for x.<br> 2(4x+9)=98

diamong [38]

Answer: