here are Xavier's bowling scores: 135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149 What is the mean?

It is known that Ray AP bisects angle CAT. If m<CAT = 5x+17 and m<PAT = 3x-4, then determine the value of x.

tester [8842]

Answer:

x = 25

Step-by-step explanation:

Given that ray AP divides angle CAT, it implies that

$\angle CAT=\angle CAP+\angle PAT$

Also, $\angle CAP = \angle PAT$

This leads to, $\angle CAT=2\angle PAT$

As stated,

$\angle CAT = 5x+17 \ \text{and}\ \text{PAT}=3x-4$

Consequently,

$5x+17=2(3x-4)\\\\5x+17=6x-8$

Grouping similar terms together,

$5x-6x=-8-17\\\\-x=-25\\\\x=25$

Thus, x is 25.

8 0

13 days ago

A ___ is obtained by dividing the population into groups and selecting all individuals from within a random sample of the groups

zzz [9080]

Response:

cluster

Detailed explanation:

4 0

26 days ago

Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro

PIT_PIT [9117]

The question appears to be incomplete. Here’s the complete inquiry:

Samir is quite skilled with the gun. When he targets a specific aim at the shooting range, he has a 0.95 probability of striking it. On one occasion, Samir sets out to shoot 10 targets consecutively.

If he has the same chance of hitting each of the 10 targets, what is the likelihood that he will miss at least one?

Response:

40.13%

Step-by-step breakdown:

Let 'A' represent the event of successfully hitting all targets in 10 trials.

The complement of 'A' is $\overline A=\textrm{Missing a target at least once}$

Now, since Samir has a consistent probability of hitting each target at 0.95.

Now, $P(A)=0.95^{10}=0.5987$

We know that the combined probability of an event and its complement equals 1.

<pThus, $P(A)+P(\overline A)=1\\\\P(\overline A)=1-P(A)\\\\P(\overline A)=1-0.5987\\\\P(\overline A)=0.4013=40.13\%$

Consequently, the probability that he misses at least one target among 10 attempts is 40.13%.

6 0

27 days ago

Read 2 more answers

There were 48 blue, 48 green and 48 yellow crayons. Also there were 72 red crayons and 120 colored pictures. What is the largest

tester [8842]

The largest common divisor (GCD) here is 24, indicating how many identical sets can be created. To find this using Euclid's algorithm, you start by dividing the larger number (72) by the smaller one (48) and check the remainder, which is 24. Since 24 evenly divides all the numbers (48, 72, 120), it serves as the GCD. Each of the 24 sets will include 2 blue crayons, 2 green crayons, 2 yellow crayons, 3 red crayons, and 5 colored pictures.

7 0

4 days ago

Given the equation −4Square root of x minus 3 = 12, solve for x and identify if it is an extraneous solution.

Inessa [9000]

Answer:

The provided radical equation has no solution.

x = 225/16 is not a valid solution.

Step-by-step explanation:

The given equation is

Add 3 to both sides of the equation

Squaring both sides

Divide both sides by 16

Check by substituting the value of x back into the original equation to confirm the extraneous solution.

Since -18 is not equal to 12, thus the value of x fails to satisfy the equation.

Consequently, x = 225/16 is an extraneous solution.

Step-by-step explanation:

4 0

19 days ago

Read 2 more answers