What is 12 and 9/150 as a decimal

(x+15)<br> (3x-35)<br> If the angles are congruent, what is x?

Arada [10]

Answer: x = 25

Step-by-step explanation:

If these angles are congruent, that means they are equal. Using that information, we can frame the following equation:

(x+15) = (3x-35)

To find 'x', we just need to solve the above equation.

(x+15) = (3x-35)

x+15 = 3x-35

x-3x = -35-15

-2x = -50

x = 25.

Therefore, 'x' is 25 degrees.

7 0

3 years ago

The average price of a gallon of orange juice in Newark, NJ is $6. The average price in Boston is 110% of the price in Newark. W

alina1380 [7]

Answer:

$12.60

Step-by-step explanation:

average price of a gallon of orange juice in Boston = average price in NJ + value of percentage increase over NJ's price

value of percentage increase over NJ's price = 110% x $ 6

= 1.10 x $6 = 6.6

6.6 + 6 = $12.60

7 0

3 years ago

The local baseball team won the national championship last year. At the start of the baseball season, shirts signed by the team

LenKa [72]

Answer:

Step-by-step explanation:

Multiplier: -175/3 Decrease: 23⅓ %

Step-by-step explanation: 75 = 250 - 3(d) d = -175/3 Y = 250 - (175/3)m

Where m is the no.

of months Y is the new value

(175/3)/250 × 100 = 70/3 %

Or 23⅓ %

3 0

3 years ago

Suppose 44% of the children in a school are girls. If a sample of 727 children is selected, what is the probability that the sam

Harman [31]

Answer:

0.9484 = 94.84% probability that the sample proportion of girls will be greater than 41%

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 $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$