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polet [3.4K]
4 years ago
10

Determine what the next number in the sequence should be. 99.5, 98.5, 97, 95, 92.5, 89.5?

Mathematics
1 answer:
otez555 [7]4 years ago
8 0

Answer:

87.5

Step-by-step explanation:

-2

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A large sample of tires from cabs driven within a city have an average tire tread depth of 0.25cm at the end of the winter. If t
frutty [35]

Answer:

0% probability cab tires depths would be shallower than 0.25cm.

Step-by-step explanation:

Problems of normally distributed samples can be 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.

In this problem, we have that:

\mu = 2.2, \sigma = 0.33

What is the probability cab tires depths would be shallower than 0.25cm.

This probability is the pvalue of Z when X = 0.25. So

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

Z = \frac{0.25 - 2.2}{0.33}

Z = -5.9

Z = -5.9 has a pvalue of 0.

0% probability cab tires depths would be shallower than 0.25cm.

7 0
3 years ago
The exponential function f(x) = 2(4)x increases more quickly than the linear function f(x) = 3x + 4.
Aleksandr [31]
Is this a true/false or do you need an actual mathematical answer?
i will edit my this to answer your question.
I'm just not exactly sure what you are asking :-/
5 0
4 years ago
The article "Sensory and Mechanical Assessment of the Quality of Frankfurters" reported the following salt content (percentage b
sergeinik [125]

Answer:

μ = 1.877

Step-by-step explanation:

Data provided in the question:

Number of data samples, n = 10

Data: 2.18, 2.03, 1.56, 1.09, 1.56 ,2.28 ,1.62 ,2.02 ,2.11 ,2.32

Now,

Mean is calculated using the formula as:

Mean, μ = \frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}

or

Mean, μ = \frac{\textup{2.18 + 2.03 + 1.56 + 1.09 + 1.56 + 2.28 + 1.62 + 2.02 + 2.11 + 2.32 }}{\textup{10}}

or

Mean , μ = \frac{18.77}{10}

or

Mean , μ = 1.877

8 0
3 years ago
Miss Green tells you that a right triangle has a hypotenuse of 13 and a leg of 5 she asked you to find the other leg of the tria
Natalka [10]

Answer:

The other leg of the triangle is 12.

Step-by-step explanation:

Given:

Hypotenuse of triangle is 13 and a leg(Leg1) is 5.

Let, the other leg of the triangle (Leg2) be x.

Now, putting the formula:

(Hypotenuse)^{2}=(Leg1)^{2}+(Leg2)^{2}

⇒ 13^{2} =5^{2} +x^{2}

⇒169=25+x^{2}

⇒169-25=x^{2}

⇒144=x^{2}

Taking square root both sides

⇒12=x

⇒x=12.

Therefore, the other leg of the triangle is 12.

7 0
4 years ago
How can you use two-step equations to represent and solve real-world problems?
ella [17]
A two-step equation in a real world problem can be solved using these steps:-

- Identify the variables
- Write a equation
- Solve for the unknowns
- Answer the question and include units. 
3 0
3 years ago
Read 2 more answers
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