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yarga [219]
2 years ago
8

Can someone help me with thos

Mathematics
2 answers:
Harman [31]2 years ago
4 0

Answer: 65

Step-by-step explanation:

skad [1K]2 years ago
3 0

Answer:

x = 65°

Step-by-step explanation:

The sum of the angles of a triangle is 180°.

x+45+70=180\\x+115=180\\x=65

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Dianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and
Veronika [31]

Answer:

5 loaves and 4

Step-by-step explanation:

7 0
2 years ago
The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 104 inches, and a standard
dsp73

Answer:

91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

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 normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 104, \sigma = 14, n = 49, s = \frac{14}{\sqrt{49}} = 2

What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

This is the pvalue of Z when X = 106.8. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{106.8 - 104}{2}

Z = 1.4

Z = 1.4 has a pvalue of 0.9192

0.9192 = 91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

8 0
3 years ago
a tour bus cost $75 plus $6 for each passenger. write and evaluate an expression to find the total cost for 25 passengers. then.
miskamm [114]
To make an expression for any amount of passengers, you need to use x for each passenger. Fill in x with the amount of passengers. Your equation is: 
75 + 6x. Now using this expression, we can find the answer to all of the amounts of passengers.

75 + 6(25) = 225; 75 + 6(26) = 231; and so on. Hope that I helped! Good luck!
8 0
3 years ago
Please help ASAP!!!!!​
HACTEHA [7]
It’s D, y = 4.
have a good day :)
6 0
3 years ago
Read 2 more answers
A recipe calls for 2 1/2 cups of sugar. You have 2 2/3 cups of sugar. Do you have enough sugar? If not, how much more sugar is n
Karo-lina-s [1.5K]

The difference between the cups of sugar is 1/6, hence you have enough sugar.

<h3>Difference and sum of fractions</h3>

Fractions are written as a ratio of two integers, For instance, a/b is a fraction where a and b are integers.

According to the question, a recipe calls for 2 1/2 cups of sugar. If have 2 2/3 cups of sugar;

Difference of cups of sugar = 2 2/3 - 2 1/2

Convert to improper fraction

Difference = 8/3 -  5/2

Difference = 16-15/6

Difference = 1/6

Since the difference between the cups of sugar is 1/6, hence you have enough sugar.

Learn more on fraction here: brainly.com/question/17220365

#SPJ1

3 0
2 years ago
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