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4 years ago

Please answer this correctly

Mathematics

1 answer:

V125BC [204]4 years ago

4 0

Answer:

1/6

Step-by-step explanation:

P(8) = number of 8's / total = 1/3

Then keeping the card so we have 7 and 9

P(7) = number of 7's / total = 1/2

P(8, keep, 7) = 1/3 * 1/2 = 1/6

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Which of the following coordinates of point C would make triangle ABC similar to triangle LMP ? Look at pic attached :) thank yo

DerKrebs [107]

The triangle ABC is similar to triangle LMP. The order here is very important. The letters correspond to one another
A corresponds to L (first letters of each sequence)
B corresponds to M (second letters of each sequence)
C corresponds to P (third letters of each sequence)

In a similar fashion, the segments also correspond to one another.
AB corresponds to LM (first two letters of each sequence)
AC corresponds to LP (first and last letters of each sequence)
BC corresponds to MP (last two letters of each sequence)

------------------------------------

AB corresponds to LM. AB is 4 units long. LM is 2 units long. So AB is twice as long as LM. This ratio (of 2:1) will be applied to every paired corresponding value.

Also, the right angle is at angle M for triangle LMP. The right angle will be at angle B for triangle ABC (since B corresponds to M). The answer will have an x coordinate of 7. So the answer is either choice B or choice C.

If we move 4 units down from point B, we land on (7,-10). That isn't listed as an answer choice. Let's try moving 4 units up from point B. We land on (7,-2). This is an answer choice

So the final answer is choice C) (7,-2)

5 0

4 years ago

The heights of flowering cherry trees are normally distributed with a mean of 11.5 feet, and a standard deviation of 1.7 ft. fin

Fittoniya [83]

Mean (μ) = 11.5 feet

Standard deviation (σ) = 1.7 feet

First we need to find the z-score for less than 13.5 feet.

The formula of z-score is : z = (X - μ)/σ

Here X= 13.5, so z = $\frac{(13.5-11.5)}{1.7}$

z = $\frac{2}{1.7}$ = 1.18

P(X < 13.5) = P(z< 1.18) =P(z< (1.1 + .08)) = 0.8810 (from z-score table)

P(X< 13.5) = 88.1% (for making percentage from decimal, we need to multiply by 100)

So, the probability that a randomly selected tree is less than 13.5 feet tall = 88.1%

4 0

3 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 5 10

snow_lady [41]

Answer:

$\boxed {\boxed {\sf 8.7}}$

Step-by-step explanation:

We are asked to find the length of the third side in a triangle, given the other 2 sides.

Since this is a right triangle (note the small square in the corner of the triangle representing a 90 degree /right angle), we can use the Pythagorean Theorem.

$a^2 + b^2 =c^2$

In this theorem, a and b are the legs of the triangle and c is the hypotenuse.

We know that the unknown side (we can say it is a) and the side measuring 5 are the legs because they form the right angle. The side measuring 10 is the hypotenuse because it is opposite the right angle.

b= 5
c= 10

Substitute the values into the formula.

$a^2 + (5)^2 = (10)^2$

Solve the exponents.

(5)²= 5*5 = 25
(10)²= 10*10= 100

$a^2 + 25=100$

We are solving for a, so we must isolate the variable. 25 is being added to a. The inverse operation of addition is subtraction, so we subtract 25 from both sides.

$a^2 +25-25=100-25$

$a^2=100-25$

$a^2 = 75$

a is being squared. The inverse of a square is the square root, so we take the square root of both sides.

$\sqrt {a^2}= \sqrt{75}$

$a= \sqrt{75}$

$a= 8.660254038$

Round to the nearest tenth. The 6 in the hundredth place tells us to round the 6 up to a 7 in the tenth place.

$a \approx 8.7$

The length of the third side is approximately 8.7

4 0

3 years ago

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The regular price of a t shirt is $18 what is the discount price???

son4ous [18]

Answer: $14.40

Step-by-step explanation:

3 0

3 years ago

-3x + 5y = 30 FIND THE x- SLOPE!!! PLEASE HELP!!!

max2010maxim [7]

The slope would be 3/5 because you add 3X to 30 to cancel it out and get the Y by itself. Then you have to divide by 5 to completely isolate the Y. Since 3 is not divisible by 5 you are left with 3/5 as your slope.

7 0

3 years ago