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2 years ago

In this diagram, two perpendicular lines and two rays intersect at point T. What is the measure, in degrees, of angle QTR?

Mathematics

2 answers:

Pani-rosa [81]2 years ago

8 0

Answer:

QTR = 24

Step-by-step explanation:

Crazy boy [7]2 years ago

3 0

QTR=32

Since lines are perpendicular the total sum is 90 for all three angles

90=42+2x+x
48=2x+x
48=3x
16=x

QTR=2x=2(16)=32

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3 years ago

Find the least 2-digit whole number N so that the sum 2^9+2^4+N is a perfect square.

oksano4ka [1.4K]

Answer:

N=48

Step-by-step explanation:

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2 years ago

Let X = the number of nonzero digits in a randomly selected 4-digit PIN that has no restriction on the digits. What are the poss

NISA [10]

Answer:

X = {0, 1, 2, 3, 4}

Step-by-step explanation:

If X is the number of nonzero digits in a 4-digit PIN with no restriction on the digits, the pin can have up to 4 nonzero digits.

Let's see some examples:

If the PIN is 0000 then X = 4

If the PIN is 2045 then X = 3

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2 years ago

Normal Distribution. Cherry trees in a certain orchard have heights that are normally distributed with mu = 112 inches and sigma

Lubov Fominskaja [6]

Answer:

The probability that a randomly chosen tree is greater than 140 inches is 0.0228.

Step-by-step explanation:

Given : Cherry trees in a certain orchard have heights that are normally distributed with $\mu = 112$ inches and $\sigma = 14$ inches.

To find : What is the probability that a randomly chosen tree is greater than 140 inches?

Solution :

Mean - $\mu = 112$ inches

Standard deviation - $\sigma = 14$ inches

The z-score formula is given by, $Z=\frac{x-\mu}{\sigma}$

Now,

$P(X>140)=P(\frac{x-\mu}{\sigma}>\frac{140-\mu}{\sigma})$

$P(X>140)=P(Z>\frac{140-112}{14})$

$P(X>140)=P(Z>\frac{28}{14})$

$P(X>140)=P(Z>2)$

$P(X>140)=1-P(Z$

The Z-score value we get is from the Z-table,

$P(X>140)=1-0.9772$

$P(X>140)=0.0228$

Therefore, the probability that a randomly chosen tree is greater than 140 inches is 0.0228.

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3 years ago

The train went 300 miles in 3 hours; the ___ was 100 miles per hour.

Aleksandr [31]

Answer:

Unit rate

Step-by-step explanation:

unit rate: A rate is a ratio that is used to compare different kinds of quantities.

6 0

2 years ago

Read 2 more answers