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2 years ago

PLEASE HELP I'VE BEEN DOING THIS FOR 2 HOURS!!

Mathematics

2 answers:

liubo4ka [24]2 years ago

6 0

Sever21 [200]2 years ago

4 0

The <em>correct answer</em> is:

b.) –0.507x2 + 14.907x – 36.131

Explanation:

First we enter the data into a graphing calculator. The times are the x-coordinates and the temperatures are the y-coordinates; this is because temperature is dependent upon time.

After we enter this, we run a regression on the calculator. We will run the quadratic regression; the equation is of the form

y = ax²+bx+c.

The values we are given on a Casio fx-9860 gii are:

a = -0.507

b = 14.908

c = -36.136

This is closest to choice B.

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In the triangle shown, B=60 and AC=9√3 how long is AB answer exactly, use a radical if needed

zavuch27 [327]

Length of AB is 18

Step-by-step explanation:

Step 1: Find length of AB when AC = 9√3 and ∠B = 60°. Use trigonometric ratio sine.

sin 60 = opposite side/hypotenuse = 9√3/x

x = 9√3/sin 60

= 9√3/√3/2 = 9√3 × 2/√3 (∵ a ÷ b = a×1/b)

= 18

5 0

3 years ago

In a lottery game, a player picks six numbers from 1 to 21. If the player matches all six numbers, they win 40,000 dollars. Othe

Darina [25.2K]

Answer:

The expected value of this game is -$0.26.

Step-by-step explanation:

Expected value:

Each possible earning/loss multiplied by it's probability.

Probability:

Number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.

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.

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

Probability of winning:

Desired outcomes:

The 6 correct numbers, so $D = 6$

Total outcomes:

6 numbers from a set of 21. So

$T = C_{21,6} = \frac{21!}{6!15!} = 54264$

Probability:

$p = \frac{1}{54265}$

Expected value

$\frac{1}{54265}$ probability of earning 40,000.

$\frac{54264}{54265}$ probability of losing 1. So

$E = \frac{40,000}{54265} - \frac{54264}{54265} = -0.26$

The expected value of this game is -$0.26.

7 0

2 years ago

Let p = log10 x, q = log10 y, and r = log10 z. (The 10s are base numbers.)

KatRina [158]

Answer:

(p / q^2 √r)

Just make x, y, z into p, q, r.

Very simple!

4 0

3 years ago

PLEASE HELP ME W THIS QUESTION

snow_lady [41]

Answer:

Step-by-step explanation:

If the side of the shape is increased by 3/2 then the total distance around the shape will be 3/2 bigger.

Example: If the pentagon has side length 2 then it becomes 2*3/2 = 6/2 = 3.

The original perimeter was 2+2+2+2+2 = 10.

The new perimeter is 3+3+3+3+3 = 15.

Did you notice that $\frac{15}{10}=\frac{3}{2}$ ? J is correct.

3 0

2 years ago

Find The Difference.

PIT_PIT [208]

5 - 1 2/9 = 3 7/9

Hope this helps!

8 0

2 years ago