If 5 apples cost $2.00, how much will 15 apples cost?

If m∠NOP = 24° and m∠NOQ = 110°, what is m∠POQ?

monitta

Correct answer for the above question is - option B. 86°

Step-by-step explanation:

Given:

∠NOP = 24°

∠NOQ = 110°

∠NOP and ∠POQ are adjacent angles

To Find:

∠POQ = ?

Solution:

Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )

∠NOQ - ∠NOP = ∠POQ

∠POQ = 110° - 24°

∠POQ = 86°

Angle POQ is 86°

Thus we can conclude option B as correct answer.

3 0

3 years ago

Please help please plz

antoniya [11.8K]

Answer:

203

___

25

Step-by-step explanation:

8*25=200

200+3=203

7 0

3 years ago

Read 2 more answers

Which of the following describes the end behavior of f(x) = 2x 3x2 − 3 ? The graph approaches 0 as x approaches infinity. The gr

Arada [10]

1) An operator is missing in your statement. Most likely the right expression is:

 2x
f(x) = -------------
 3x^2 - 3

So, I will work with it and find the result of each one of the statements given to determine their validiy.

2) Statement 1: The graph approaches 0 as x approaches infinity.

Find the limit of the function as x approaches infinity:

 2x
Limit when x →∞ of ------------
 3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

 2x / x^2 2/x
--------------------------- = ---------------
3x^2 / x^2 - 3 / x^2 3 - 3/x^2

 2/∞ 0 0
Replace x with ∞ => ------------ = ------- = ---- = 0
 3 - 3/∞ 3 - 0 3

Therefore the statement is TRUE.

3) Statement 2: The graph approaches 0 as x approaches negative infinity.

Find the limit of the function as x approaches negative infinity:

 2x
Limit when x → - ∞ of ------------
 3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

 2x / x^2 2/x
--------------------------- = ---------------
3x^2 / x^2 - 3 / x^2 3 - 3/x^2

 2/(-∞) 0 0
Replace x with - ∞ => ------------ = ---------- = ---- = 0
 3 - 3/(-∞) 3 - 0 3

Therefore, the statement is TRUE.

4) Statement 3: The graph approaches 2/3 as x approaches infinity.

FALSE, as we already found that the graph approaches 0 when x approaches infinity.

5) Statement 4: The graph approaches –1 as x approaches negative infinity. 

FALSE, as we already found the graph approaches 0 when x approaches negative infinity.

4 0

4 years ago

Read 2 more answers

Fill in the blank. In a drive thru performance study, the average service time for McDonald's is 203.21 seconds with a standard

Alenkasestr [34]

Answer:

5) 203.35

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .