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weqwewe [10]
3 years ago
7

Kerry ordered a pizza: one half was topped with

Mathematics
1 answer:
myrzilka [38]3 years ago
4 0

Answer:

3/10

Step-by-step explanation:

If both halves were equal.

½ × ½ = ¼

Closest option is 3/10

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Assume that blood pressure readings are normally distributed with a mean of 115 and a standard deviation of 8. If 100 people are
Sergeu [11.5K]

Answer:

D. 0.9938.

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.

Mean of 115 and a standard deviation of 8.

This means that \mu = 115, \sigma = 8

100 people are randomly selected

This means that n = 100, s = \frac{8}{\sqrt{100}} = 0.8

Find the probability that their mean blood pressure will be less than 117.

This is the p-value of Z when X = 117, so:

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

By the Central Limit Theorem

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

Z = \frac{117 - 115}{0.8}

Z = 2.5

Z = 2.5 has a p-value of 0.9938, and thus, the correct answer is given by option D.

8 0
3 years ago
Find the measure of angle 6 Measure of angle 7=2x+15 measure of angle 8=3x
dedylja [7]
7=2x + 15 2x= -8 x= -4 

<span>8= 3x 8= 3x+0 3x +-8 3(-4) +-8 -12 - 8 </span>

<span>Final Answer -20</span>
4 0
4 years ago
Read 2 more answers
6.5x-10=4.5x+6 can someone give a step by step answer plz
Trava [24]

Collect like terms
6.5x-4.5x = 6+10
2x = 6+10
Divide both sides
2x = 16
X= 8
7 0
3 years ago
Read 2 more answers
3. You are a senior consultant at a highly prestigious agency. You did a great job in 2020,
Anastasy [175]

Answer:

(a)The highest expected payout option 1

(b)1 and 3

(c)Option 1

Step-by-step explanation:

In this you just multiply the amount you are paid by chance if all are favorable to you, so in option 1 you would get $2,000 for each head you get on a flipped coin, so that would be 10*$2,000=$20,000 that's the highest paid, in the dice you get a maximum of 6 dots each, that would make $6,000*3=$18,000.

Rolling the dice can get you 5 scenarios where you don't get $6,000 when all three are lower than $6,000 which would be getting three 1's, two 1's and a 2, ot two 2's and a 1. That's why only option 3 and 1 are available for an almost certainity of getting $6,000

To know this you have to remember last problem, the getting $9,000 will never give you $16,000, and the dice would give you only 3 scenarios where you could end up winning $16,000 whihc would be getting all 6's, two 6's and a 5, or twop 5's and a 6, so your best option would be flipping the coin.

5 0
3 years ago
The students in Steven's class got to choose between pizza and burgers for the
Rainbow [258]
Answer:
95% picked pizza
Step-by-step explanation:
We can get this answer by following a few different steps. Firstly, we need the total amount of students. We get this number by adding the amount of students who wanted pizza (19 students) and the amount of students who wanted burgers (1 student). When we add those we get the total number of students, which is 20. Now, we can set up a fraction to see what amount of students out of the total number of students wanted pizza.
This would be 19/20
Now, you plug this in your calculator and will get 0.95
To turn this, or any other decimal, into a percentage you multiply by 100%.
So, multiply 0.95 x 100% = 95%

Hope this helps :)
4 0
2 years ago
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