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Roes bushes cost $5 and tomato plant cost $2. Write an expression that represent the show the total cost for any number of rose

Anna [14]

Expression that represent the show the total cost for any number of rose bushes and tomato plant is:

$Total\ cost = 5x + 2y$

Solution:

Let "x" be the number of roses bush

Let "y" be the number of tomato plant

Cost of 1 rose bush = $ 5

Cost of 1 tomato plant = $ 2

To find: Expression that represent the show the total cost for any number of rose bushes and tomato plant

Total cost = number of roses bush x Cost of 1 rose bush + number of tomato plant x Cost of 1 tomato plant

$Total\ cost = x \times 5 + y \times 2\\\\Total\ cost = 5x + 2y$

Thus the expression is found where, x and y are the number of rose bush and tomoato plant bought respectively

7 0

4 years ago

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. State the h

Soloha48 [4]

Answer:

Null hypothesis: $\mu \leq 60$

Alternative hypothesis: $\mu > 60$

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:

$t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33$

Step-by-step explanation:

Data given and notation

$\bar X=67$ represent the sample mean

$s=12$ represent the population standard deviation for the sample

$n=16$ sample size

$\mu_o =60$ represent the value that we want to test

$\alpha$ 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 60, the system of hypothesis would be:

Null hypothesis: $\mu \leq 60$

Alternative hypothesis: $\mu > 60$

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:

$t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33$

4 0

3 years ago

A family of 2 adults and 3 children goes to a play. Admission cost $8 per adult and $5 per child. What expression would show the

Reika [66]

The answere to your question is $31 because 2 times 8 is 16 and 3 times 5 is 15 so if 15 plus 15 is 30 but sense it is 16 instead of 15 it is $31.

7 0

3 years ago

A European high-speed passenger train is made up of two first-class passenger cars, five second-class cars, and a restaurant car

Sliva [168]

Answer:

The train can be made up in a total of $\frac{8!}{5!2!}$ ways

Step-by-step explanation:

FIrst, lets assume that all cars are distinct. If that is the case, then, since we have a total of 8 cars, we have

- 8 possibilities for the first car

- 7 possibilities for the second car

- 6 possibilities for the third car

and so on.

So we have a total of 8! = 8*7*6*...*3*2*1 possibilities to make a train.

Now lets take into account that 5 of the cars are identical within each other. Then we could make a permutation of those 5 cars and we wouldnt notice. Hence, the order of the 5 cars of second-class doesnt matter and as a result, we should divide 8! by the total of possible permutations of the 5 second class cars, that it, 5!

We also need to divide the result by 2! = 2, because which first class car came first doesnt matter either. Therefore, the train can be made up in a total of $\frac{8!}{5!2!}$ ways.

8 0

4 years ago

Express 48 as a fraction of 60.

Virty [35]

Hello @14mullinsalf,

How are you doing? So, automatically, we put the fraction $\frac{48}{60}$

After that, you may want to simplify the answer.
Find the GCD (or HCF) of numerator and denominator
GCD of 48 and 60 is 12

Divide both the numerator and denominator by the GCD
 $\frac{48/12}{60/12}$

Your answer is $\frac{4}{5}$

I hope I helped, and contact me if you need further assistance.

Thank you,
Darian D.

4 0

4 years ago