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natita [175]
3 years ago
13

Solve for x. Please help

Mathematics
1 answer:
nata0808 [166]3 years ago
4 0

Answer:

In the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)

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They have many answers so find the least one
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Conditional Probability
Alja [10]

Yo sup??

P(A|B)=P(A∩B)/P(B)

P(A∩B)=probability of finding a girl and is sophomore

P(B)=probability of finding a sophomore

P(A|B)=9/10

Hope this helps.

3 0
4 years ago
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Aimee and Ben are purchasing a condominium and are financing $160,000. The mortgage is a 20 year 3/1 ARM with a cap structure of
yarga [219]

Answer:

$1169.45

Step-by-step explanation:

Using the formula:

P = L \Big( \dfrac{c(1+c)^n}{(1+c^n) -1} \Big)

where;

Loan amount L = 160000

number of months (n) = 20 × 12 = 240

Lets assume that the interest rate per month c = 6.25% since it is not given.

i.e. (6.25/( 100*12) ) = 5.208 × 10⁻³

∴

P = 160000 * \dfrac{5.208 *10^{-3} (1+5.208 *10^{-3})^{240}}{(1+5.208 *10^{-3})^{240}-1}

P = $1169.45

6 0
3 years ago
When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and foun
Nonamiya [84]

> How tall was the tree when Vlad moved into the house?

We know that the tree grew by 26 cm per year, the current height is 292 cm and 4.5 years have already passed, therefore the original height was:

original height = 292 cm – (26 cm / year * 4.5 years)

original height = 175 cm

 

> How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?

Calculate for time using the formula:

time = (current height – original height) / 26

time = (357 cm – 175 cm) / (26 cm/ year)

<span>time = 7 years</span>

5 0
3 years ago
Find the length of each side of the triangle determined by the three points P1,P2,P 1,P 2, and P3. P3 State whether the triangle
Feliz [49]

Answer:

IT IS BOTH

Step-by-step explanation:

Given the coordinate of the triangle, P1P2P3, we are to classify the triangle. To do that we need to know the length of each side of the triangle

P1P2, P2P3 and P1P2 using the formula for calculating distance between two coordinates

D = √(x2-x1)²+(y2-y1)²

For P1P2;

P1=(−1,4) P2=(6,2)

P1P2 = √(6-(-1))²+(2-4)²

P1P2 = √7²+2²

P1P2 = √53

For P1P3;

P1=(−1,4) P3=(4,-5)

P1P3 = √(4-(-1))²+(-5-4)²

P1P3 = √5²+9²

P1P3 = √25+81

P1P3 = √106

For P2P3;

P2=(6,2) P3 = (4,-5)

P2P3= √(4-6)²+(-5-2)²

P2P3 = √2²+7²

P2P3 = √53

Since two sides of the triangles are the same, this means that it is an isosceles triangle.

Let's check whether it is right angled by applying Pythagoras theorem

(√53)²+(√53)² = x²

x is the longest side (hypotenuse)

53+53 = x²

106 = x²

x = √106

Since the square of the hypotenuse is equal to the sum of the sum of the square of other two sides, then it is also a RIGHT ANGLED TRIANGLE

5 0
3 years ago
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