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Luden [163]
3 years ago
14

The highest recorded temperature during the month of July for a given year in Death Valley, California has an approximately norm

al distribution with a mean of 123.8 degrees Fahrenheit and standard deviation of 3.1 deg. F (Weather Source, 2009). What is the probability for a given year that the temperature never exceeds 120 deg. F in a given July in Death Valley? Include leading zero, and state your answer to 3 decimal places.
Mathematics
1 answer:
S_A_V [24]3 years ago
6 0

Answer:

P(X

And we can find this probability using excel or the normal standard tabe and we got:

P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:

X \sim N(123.8,3.1)  

Where \mu=123.8 and \sigma=3.1

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using excel or the normal standard tabe and we got:

P(z

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Hi help me with this too pls I can't pls​
Musya8 [376]

Answer:

1) 3(9) +15

2) 2(-5)^2 - 11

3) (-2)^3 + 13(-2)

4) 4(6)^2 -7

5) (-9)^2 - (-9) + 10

All you have to do solve

Step-by-step explanation:

Replace the x with whatever number is in the f(number)

4 0
3 years ago
the mantle layer of earth begins about 70 kilometers underneath the surface. The layer called the outer core begins about 2970 k
gavmur [86]
Given:
<span>mantle layer of earth begins about 70 kilometers underneath the surface
</span><span>outer core begins about 2970 kilometers underneath the surface

Since we need to find the position of each layer </span><span>relative to the surface, the surface will serve as the point of origin or 0. Below the surface infers a negative value. So, Mantle layer is -70 km from the surface while outer core is -2970 km under the surface.

Comparing -70 and -2970, -70 has a greater value than -2970. The nearer the number is to the origin or 0, the higher its value.

Comparing the absolute greater value of -70 and -2970, -2970 has a greater absolute value. This is because absolute value is the positive value of the number. Absolute value of -70 is 70 while absolute value of -2970 is 2970. Thus, -2970 has a greater absolute value. </span>
6 0
3 years ago
Help pleaseeee, I don't understand​
miv72 [106K]

Answer:

B.

Step-by-step explanation:

2x+4-1

3 0
3 years ago
How can i explain for the question???
REY [17]
What question there’s nothing showing?
5 0
2 years ago
Read 2 more answers
14x^2 + 37x + 5....Richard is designing a new website for students to create study groups and collaborate with other students.
Furkat [3]
Answers:
1) The constant of the polynomial expression represents the:
number of group members when the site launches

2) The binomial (1+7x) is a factor of the polynomial expression and represents the:
number of members per group after x months

Solution:
1) The estimate for the total number of groups members (y) is given by the polynomial expression:
y=14x^2+37x+5
where x is the number of months since the site's launch.

When the site launchs:
x=0→y=14(0)^2+37(0)+5=14(0)+0+5=0+0+5→y=5
The number of group members when the site launches is 5
And the problem says: "The site will launch with five study groups"

2) The site will launch with five study groups, each with its creator as its only member, then the number of members per group is 1.
Richard estimates that seven new members will be added to each study group every month (x), then:
The number of members per group after x months will be: 1+7x

6 0
3 years ago
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