An airplane flies 105 miles in 1/2 hour. how far can I fly in 1 1/2 hours at the same rate of speed?

Deborah bought a computer for 25% off the list price. If the list price is $2,428, how much did Deborah spend? A. $607 B. $1,821

Softa [21]

Answer:

Option A, $\$607$

Step-by-step explanation:

Given: Deborah bought a computer for $25\%$ off the list price.

The list price is $\$2,428$ .

To find: The amount Deborah spent on the computer.

Solution: We have,

List price of the computer $=\$2,428$ .

Deborah bought the computer for $25\%$ off the list price.

The amount Deborah spent on the computer $=25\% \times 2,428$

$=\frac{25}{100}\times2428=\frac{2428}{4} =\$ 607$ .

So, Deborah spent $\$607$ on the computer.

Hence, option A is correct.

5 0

3 years ago

On a coordinate plane, a line is drawn from point C to point D. Point C is at (negative 1, 4) and point D is at (2, 0). Point C

skelet666 [1.2K]

Answer:

distance = 5 units

Step-by-step explanation:

In order to solve this problem we can start by plotting the two points you were provided with (see attached picture). This will help us visualize the problem better.

Now, we need to find the distance between those two points, so in order to do so we can use the distance formula:

$distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

in this case the x's and y's are given by the given points, since they are written as ordere pairs. And ordered pairs are written in the form (x,y). So for Point C:

C=(-1,4)

$x_{1}=-1$

$y_{1}=4$

and for point D

D=(2.0)

$x_{2}=2$

$y_{2}=0$

so we can now use those values in our distance formula so we get:

$d=\sqrt{(2-(-1))^{2}+(0-4)^{2}}$

$d=\sqrt{(3)^{2}+(-4)^{2}}$

$d=\sqrt{9+16}$

$d=\sqrt{25}$

d=5 units.

3 0

3 years ago

Cual es la respuesta de esto<br>5(2x-3)=15

Schach [20]

If u can't see the answer then x=3

3 0

3 years ago

Shannon and her family are traveling in the car. Her mom brought 1/2 pound of raisins to share equally between the four

Alik [6]

Answer:

1/8 pound per person

Step-by-step explanation:

7 0

3 years ago

Consider 8 blood donors chosen randomly from a population. The probability that the donor has type A blood is .40. Which of the

belka [17]

Answer: Option B is the only correct option.

Step-by-step explanation:

Number of samples = n = 8.

Probability of success = p = 0.4

Probability of failure = q = 0.6

r = chosen number of donors among the 8

To solve this question, we use the distribution formula

P(x=r) = nCr * p^r * q^n-r

For option A, to check if P(3<x<5) = 0.37. [3 and 5 inclusive]

When x = 3

P(x=3) = 8C3 * 0.4^3 * 0.6^5

P(x=3) = 56 * 0.064 * 0.07776

P(x=3) = 0.2787

When x= 4

P(x=4) = 8C4 * 0.4^4 * 0.6^4

P(x=4) = 70 * 0.0256 * 0.1296

P(x=4) = 0.2322

Since p(x=3) + p(x=4) is already greater than 0.37, then we know option A is NOT correct.

For option B, To check if the probability of 1 or fewer donor is about 0.11. i.e if P(x</=1) = 0.11

When x=o

P(x=0) = 8C0 * 0.4^0 * 0.6^8

P(x=0) = 1* 1 * 0.016796

P(x=0) = 0.016796.

When x = 1

P(x=1) = 8C1 * 0.4^1 * 0.6^7

P(x=1) = 8 * 0.4 * 0.02799

P(x=1) = 0.08958

P(x=0) + P(x=1) = 0.016796 + 0.08958

P(x=0) + P(x=1) = 0.10635.

Since this is approximately 0.11, then option B is a correct option.

For option C to check if the probability 7 or more donors not having type A = 0.0087

To do this,we determine thw probability of 7 or more donors having type A and we subtract our answer from 1.

First, we determine P(x>/=7)

When x= 7

P(x=7) = 8C7 * 0.4^7 * 0.6^1

P(x=7) = 8 * 0.001638 * 0.6

P(x=7) = 0.007864

When x=8

P(x=8) = 8C8 * 0.4^8 * 0.6^0

P(x=8) = 1 * 0.0006554 * 1

P(x=8) = 0.0006554

P(x=7) + P(x=8) = 0.007864 + 0.0006554 = 0.00852.

Since probability of 7 or more donors having type A is 0.00852 as against what was stated in the option C, then option C is NOT a correct option.

For option D, to check if the probability of exactly 5donors having type A blood = 0.28

When x=5

P(x=5) = 8C5 * 0.4^5 * 0.6^3

P(x=5) = 56 * 0.01024 * 0.216

P(x=5) = 0.1239.

Since probability of what was derived for having exactly 5 donors having sample A is different from what wqs given in the option, then option D is NOT correct.

For option E, since what was stated in the option negates what was derived for exactly 5 donors, then option E is NOT correct

6 0

3 years ago