Ally bought 1/2 pound of cashews and 5/6 pound of granola. Plot the fractions on the number line. Which quantity is greater

Harlamova29_29 [7]

Answer: D
Because there is a dashed line, that means there has to be an inequality statement, C is the only one with one and the statement is false.

4 0

2 years ago

Use the information provided to calculate the different parts of the proposal: The lazy river is basically a large circle that w

Step2247 [10]

Answer:

10,995.6 ft^3.

2300.3 gallons.

(both to the nearest tenth).

Step-by-step explanation:

Area of the surface of the river = area of the outer circle - area of the inner circle.

Radius of the outer circle = 30 *3 = 90 feet.

So the surface area of the river = π(90)^2 - π(85)^2

= 875π ft^2

Also the volume of the river = surface area * depth = 875π*4 = 3500π ft^3

= 10,995.6 ft^3.

Number of gallons of water it will hold = 10,995.6 / 4.78

= 2300.3 gallons.

4 0

4 years ago

chelsea deposits $600 into a bank account and is earning simple interest.After 4 years her account has a balance of $621.60.If C

olga nikolaevna [1]

If she deposited $600 and had $621.60 after four years, then she earned: $621.60 - $600 = $21.60 in four years. It means in one year she earned $21.60 ÷ 4 = $5.40. Now we have to find out how many percent of $600 is $5.40:

$5.40 = x% from $600
5.4 = x/100 * 600
5.4 = 600x/100 / * 100 (both sides)
540 = 600x / ÷ 600 (both sides)
x = 0.9

So the interest rate was 0.9% annually.

Now we have to find out how much is 0.9% from $1100:

$1100 * 0.9% =
= 1100 * 9/1009 =
= 9900/1000 =
= 9.9

It means in one year she would earn $9.90. After 7 years she would earn $9.90 * 7 = $69.30, so she would have in her account:

$1100 + $69.30 = <u>$1169.30</u>

8 0

4 years ago

A coffee company wants to make sure that their coffee is being served at the right temperature. If it is too hot, the customers

Cerrena [4.2K]

Answer:

Null hypothesis: $\mu = 65$

Alternative hypothesis: $\mu \neq 65$

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (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".

For this case the value of $\mu$ represent the parameter associated to the population (True average of cofee temperature)

Step-by-step explanation:

Data given and notation

$\bar X=70.2$ represent the mean height for the sample

$s$ represent the sample standard deviation for the sample

$n=20$ sample size

$\mu_o =765$ 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)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean i equal to 70.2, the system of hypothesis would be:

Null hypothesis: $\mu = 65$

Alternative hypothesis: $\mu \neq 65$

If we analyze the size for the sample is < 30 and we don't know the population deviation so 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".

For this case the value of $\mu$ represent the parameter associated to the population (True average of cofee temperature)

3 0

3 years ago

A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walker charge for a 45 minute

RUDIKE [14]

Answer:

The function notation is given as:

$6 + $30 × x

f(x) = $6 + 30x

The dog walker charges $28.50

Step-by-step explanation:

Let the hourly rate be represented by x

A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30.

The function notation is given as:

$6 + $30 × x

F(x) = $6 + 30x

How much does the dog walker charge for a 45 minute walk?

We have to convert 45 minutes to 1 hour

60 minutes = 1 hour

45 minutes = x

x = 45/60

x = 3/4(hour)

Putting that in the function notation:

f(x) = $6 + 30x

x = 3/4

$6 + 30(3/4)

$6 + $22.5

= $28.50

Therefore, the dog walker charges $28.50

7 0

3 years ago