All categories

3 years ago

What is the volume of a microwave oven that is 18 inches wide by 10 inches long with a depth of 11 1/2 inches?

Mathematics

1 answer:

ivann1987 [24]3 years ago

7 0

Answer:

2070 inches

Step-by-step explanation:

V = W x L x D

= 18 x 10 x 11.5 = 2070 inches

You might be interested in

Consider this function. f(x)-3x+3. Which graph represents the inverse of function f?

Kamila [148]

9514 1404 393

Answer:

graph Y

Step-by-step explanation:

The inverse function can be found by solving ...

x = f(y)

x = -3y +3

x -3 = -3y . . . . . subtract 3; next, divide by -3

y = -1/3x +1 . . . . . matches graph Y

_____

Additional comment

Writing the original equation in standard form can help you see its intercepts.

3x +y = 3

3x = 3 ⇒ x = 1 . . . . x-intercept (at y=0)

y = 3 . . . . y-intercept (at x=0)

The inverse function has the x- and y-intercepts swapped, so you're looking for a line through (0, 1) and (3, 0). The lower left graph (Y) is that graph.

3 0

3 years ago

A sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8. If the sample mean corre

jeka57 [31]

Answer:

The value of the sample mean is 78.

Step-by-step explanation:

We are given that a sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8.

Also, the sample mean corresponds to a z score of 2.00.

Let $\bar X$ = sample mean

The z-score probability distribution for a sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 70

$\sigma$ = standard deviation = 8

n = sample size = 4

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, we are given that the sample mean corresponds to a z score of 2.00 for which we have to find the value of sample mean;

So, z-score formula is given by ;

z-score = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{4 } }$

$\bar X = 70+(2 \times 4)$

$\bar X$ = 70 + 8 = 78

Therefore, the value of the sample mean is 78.

3 0

3 years ago

A woman plans to buy some bottles of alcohol, a bottle of Heineken goes for $800 while that of monster drink $250. she doesn't h

Alja [10]

Answer:

The inequalities that must be satisfied is

$x + y \leq 32$

$x(800) + y(250) \leq 3500$

Step-by-step explanation:

Let the number of Heineken bottles be x

Let the number of monster drink bottles be y

Her crate cannot hold more than 32, This situation can be represented as

$\text{Number of Heineken bottles + number of monster drink bottles } \leq 32$

That is

$x + y \leq 32$ ------------------------(1)

Cost of one Heineken bottles = $800

Cost of one monster drink bottles = $250

then

$x \times \text{cost of one Heineken bottle } + y \times \text{ cost of one monster drink bottle} \leq 3500$ x

$x(800) + y(250) \leq 3500$ ------------------(2)

5 0

3 years ago

Find the distance between (-2,-4) and (5,4). Round to the nearest tenth.

Nikitich [7]

Answer:

i dont know but at least add me brainliest for trying

4 0

3 years ago

Please help me with this

Scilla [17]

The correct answers are the second option (Option B) and the last option (Option E).

The explanation is shown below:

1. By definition, a geometric sequence is a sequence of numbers each number, after the first one, is the result of multiply the previous number by a common ratio.

2. The Option B has the following common ratio:

(2/3) / (4/9)=1.5
1/(2/3)=1.5

r=1.5

3. The Option E has the following common ratio:

-15/3=-5
75/-15=-5

r=-5

6 0

3 years ago