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kotykmax [81]
3 years ago
13

1/4×[(-6.8)+(10.4)]+54.3

Mathematics
2 answers:
Andre45 [30]3 years ago
5 0

Answer:

55.2

Step-by-step explanation:

This question can be solved using pemdas. In order of operations, parenthesis come first. So you will do -6.8 + 10.4 to get 3.6. From there it goes to exponents (none), then to multiplication. So multiply 3.6 by 1/4, or .25 to get 0.9. Then just add .9 onto 54.3 to get 55.2 and that's your answer!

Hope this helped, please mark brainliest i need to feed my family ^_^

Vilka [71]3 years ago
4 0

Answer:

Step-by-step explanation:

=1/4 x 3.6 + 54.3

= 0.9 + 54.3

= 55.2

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The annual rainfall in a certain region is approximately normally distributed with mean 41.4 inches and standard deviation 5.7 i
stich3 [128]

Complete question :

The annual rainfall in a certain region is approximately normally distributed with mean 41.4 inches and standard deviation 5.7 inches. Round answers to the nearest tenth of a percent. a) What percentage of years will have an annual rainfall of less than 43 inches? b) What percentage of years will have an annual rainfall of more than 39 inches? c) What percentage of years will have an annual rainfall of between 38 inches and 42 inches?

Answer:

0.61053

0.66314

0.26647

Step-by-step explanation:

Given that :

Mean (m) = 41.4 inches

Standard deviation (s) = 5.7 inches

a) What percentage of years will have an annual rainfall of less than 43 inches?

P(x < 43)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (43 - 41.4) / 5.7 = 0.2807017

p(Z < 0.2807) = 0.61053 ( Z probability calculator)

b) What percentage of years will have an annual rainfall of more than 39 inches? c)

P(x > 39)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (39 - 41.4) / 5.7 = −0.421052

p(Z > −0.421052) = 0.66314 ( Z probability calculator)

What percentage of years will have an annual rainfall of between 38 inches and 42 inches?

P(x < 38)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (38 - 41.4) / 5.7 = −0.596491

p(Z < −0.596491) = 0.27545 ( Z probability calculator)

P(x < 42)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (42 - 41.4) / 5.7 = 0.1052631

p(Z < 0.1052631) = 0.54192 ( Z probability calculator)

0.54192 - 0.27545 = 0.26647

6 0
3 years ago
X−8π=π someone help me answer this
Ann [662]

Answer:

x = 9

Step-by-step explanation:

First step, divide both sides by pi to get rid of it entirely; you should be left with x - 8 = 1 (because when you divide a value by itself, you always get 1, so pi divided by pi gives you 1)

Second step, add 8 to both sides, leaving you with x = 9

4 0
2 years ago
A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a
Mariana [72]
<span>A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 18 minutes. How large a sample should she take to estimate the mean time to within 4 minutes with 97% confidence?
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n = [z*s/E]^2
---

n = [2.17*18/4]^2 = 96 when rounded up

</span>
3 0
2 years ago
HELP QUICK WILL GIVE BRAINLIEST
Rufina [12.5K]

Answer:

y = mx + b is the slope intercept form of writing the equation of a straight line

Step-by-step explanation:

y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is.

5 0
2 years ago
If p is directly proportional to q, and p=9 when q=7.5, find q when p=24.
pishuonlain [190]
<h3>Solution and Explanation:</h3>

If p and q are directly proportional, then they must have a common scalar.

To find q we must first find its scalar. If we let a be the scalar we can form the equation, ap = q.

We are given the information that if q = 7.5 then p = 9. We can use that in finding the scalar.

a \times 9 = 7.5 \\ \frac{a \times 9}{9} = \frac{7.5}{9} \\ a = \frac{75}{90} \\ a = \frac{15}{18}

Now we can solve for q when p = 24 knowing that our scalar is \frac{15}{18}\\.

ap = q \\ \frac{15}{18} \times 24 = q \\ \frac{360}{18} = q \\ 20 = q

<h3>Answer:</h3>

q = 20 when p = 24

4 0
2 years ago
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