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3 years ago

Please help and show work

Mathematics

1 answer:

lutik1710 [3]3 years ago

8 0

Answer:

the shape is a kite. the angles in a kite add up to 360 and also has one pair of equal angles. M is congruent to K

K = 88 degrees

J = 360-88 - 88 - 120

J = 64

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Which of the following situations most likely results in a negative correlation when the data is displayed on a scatter plot?

VashaNatasha [74]

It's B because the car gets older as the years of ownership go up; resulting in a negative correlation on a graph. Hope I helped :)

4 0

3 years ago

Read 2 more answers

Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is

Snezhnost [94]

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

5 + 7 = 12 total fruits, which means that $N = 12$

7 apples, which means that $k = 7$

You receive 2 fruits, which means that $n = 2$

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182$

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

4 0

3 years ago

If one of the factors of r ^ 2 + 21r + 98 is r + 7 , what is the other factor?

irina [24]

Answer:

i think factor the expression (r+7)(r+14) is answer

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Solve the equation: a) -3 = 7+2t/3 b) 4(5x-2) = 7(2x+3) c) 2x-6 = 30-2.5x

Umnica [9.8K]

Let's start by solving the first equation.

a) -3 = 7 + 2t/3
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8

Now let's move on to the next equation.

b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21

Now, lets subtract 14x from both sides of the equation.

6x - 8 = 21

Next, let's add 8 to both sides of the equation.

6x = 29

And divide both sides by the coefficient of x, which is 6.

x = 29/6 or 4 5/6

Now for the last equation.

C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9

Hope this helps! :)

7 0

3 years ago

What is the leading coefficient of the following polynomial? 5x2-3x+6

gogolik [260]

Answer:

The 3

Step-by-step explanation:

3 0

3 years ago

Please help and show work ​

Please help and show work