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3 years ago

Use the diagram to find lengths. BP is the perpendicular bisector of AC. CQ is the perpendicular bisector of BD. AB = BC = CD.

Mathematics

2 answers:

Lorico [155]3 years ago

5 0

Answer:

PC = 8

Step-by-step explanation:

Bisectors split things into equal parts. The bisector PB made AP and PC equal. So AP = 8, AP = PC, 8 = PC

Doss [256]3 years ago

3 0

Answer:

hhhhhh i have no idea

Step-by-step explanation:

sorrrrrrryyyyyyyyyyy

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Four students attempt to register online at the same time for an Introductory Statistics class that is full. Two are freshmen an

Georgia [21]

Answer: The probability is P = 0.1667 or 16.67%

Step-by-step explanation:

We have 2 slots and 4 possible options.

In the options, we have 2 freshmen and 2 sophomores, and we want to find the probability that the 2 slots are filled with freshmen.

The probability for a freshman to be randomly selected is:

p1 = (number of freshmen)/(number of options) = 2/4 = 1/2

now, for the second selection, we only have 1 freshman and 2 sophomores, so the probability now is:

p2 = 1/3

now, the joint probability of both events happening is equal to the product of the individual probabilities, this is:

P = p1*p2 = (1/3)*(1/2) = 1/6 = 0.1667

if we want the percentage, we must multiply this number by 100%:

P = 0.1667 or 16.67%

4 0

3 years ago

Read 2 more answers

The time, t, required to travel a fixed distance varies inversely as the

Lemur [1.5K]

You must travel at 42 mph for 4 hours

Solution:

Time varies inversely as rate of motion

Let "t" be the time required

Let "r" be the rate of motion

Then, we get

$t \propto \frac{1}{r}\\\\t = k \times \frac{1}{r}\\\\t = \frac{k}{r} -------- eqn 1$

Where, "k" is the constant of proportionality

You travel 3 hours at a rate of 56 mph

Substitute t = 3 and r = 56 in eqn 1

$3 = \frac{k}{56}\\\\k = 3 \times 56\\\\k = 168$

Find the rate you must travel for 4 hours

r = ? and t = 4

Substitute t = 4 and k = 168 in eqn 1

$4 = \frac{168}{r}\\\\r = \frac{168}{4}\\\\r = 42$

Thus you must travel at 42 mph for 4 hours

4 0

3 years ago

Which polynomial identity will prove that 49 = (2+5)^2

Leona [35]

PEMDAS
1. Parenthesis first

5 + 2 = 7

2. Exponents

7^2 = 49

49 = 49

Hope that helps!!!

3 0

3 years ago

Read 2 more answers

He ratio of Evan’s red toy cars to blue toy cars is 3 : 4. Evan has 12 red toy cars. How many blue toy cars does Evan have?

julsineya [31]

D, this is because you times the 3 red cars by 4 to get to 12 red cars so you times the 4 blue cars by 4 to get 16 blue cars.

8 0

4 years ago

The following time series shows the sales of a clothing store over a 10-week period. Compute the mean square error (MSE) for a 4

Alenkasestr [34]

Answer:

7.67

Step-by-step explanation:

Given the data :

Week_sales_Forecast ___|error|_ |error|²

1 _____15

2 ____ 16

3 ____ 19

4 ____ 18

5 ____ 19 ____ 17 _______ 2____4

6 ____ 20 ___ 18 ________2____4

7 ____ 19 ____19 ________0____0

8 ___ 22 ____ 19 ________3____9

9 ___ 15 ____ 20 ________5___ 25

10 __ 21 _____19 ________ 2 ___ 4

Mean squared error :

(4 + 4 + 0 + 9 + 25 + 4) / 6

= 46 / 6

= 7.666

= 7.67

8 0

3 years ago

Read 2 more answers