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Evgesh-ka [11]
3 years ago
14

What is another way to write 11/5 ths

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
4 0
There are two other fine ways to write 11/5 .

Ten of those fifths make 2 wholes, so 11/5 can be written as<u> 2 and 1/5</u> .

Or you could do the division that the fraction shows.
Divide 11 by 5, and find the other way to write it . . . . . <u>2.2</u> .
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A sample from a population with μ = 40 and σ = 8 has a mean of M = 36. If the sample mean corresponds to a z = –1.00, then how m
juin [17]

Answer:

There are 4 scores in the sample.

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 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 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.

In this question, we have that:

\mu = 40, \sigma = 8, X = 36, Z = -1, s = \frac{8}{\sqrt{n}}

We want to find n. So

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

By the Central Limit Theorem

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

-1 = \frac{36 - 40}{\frac{8}{\sqrt{n}}}

-4\sqrt{n} = -8

4\sqrt{n} = 8

Simplifying by 4

\sqrt{n} = 2

(\sqrt{n})^2 = 2^2

n = 4

There are 4 scores in the sample.

7 0
3 years ago
The endpoints of CD are C(1, -6)and D(7,5). Find the coordinate of the midpoint, M
yuradex [85]

Answer:

(4, - 0.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ \frac{x_{1}+x_{2}  }{2} , \frac{y_{1}+y_{2}  }{2} ]

Here (x₁, y₁ ) = C(1, - 6) and (x₂, y₂ ) = D(7, 5) , then

midpoint = ( \frac{1+7}{2} , \frac{-6+5}{2} ) = \frac{8}{2} , \frac{-1}{2} ) = (4, - 0.5 )

6 0
3 years ago
Can someone try to help me out here
Anna35 [415]

Answer:

Angle TSW = angle UTV because they are corresponding congruent angles.

Angle STW = angle TUV because they are corresponding congruent angles.

Triangle STW is congruent to triangle TUV because of the Angle-Angle-Side Similarity theorem.

5 0
3 years ago
Suppose students are independent from one another. 63% of students are using Mr. Martin's new social media app, Mar-tin-stagram.
vitfil [10]

Answer:

Probability that both of them use it = 0.3945

Step-by-step explanation:

Given:

Student use app = 63%

Number of chosen student = 2

Computation:

Assume total number of student = 100%

So, probability that both of them use it.

⁶³C₂ / ¹⁰⁰C₂

\frac{\frac{63!}{2! 61!} }{\frac{100!}{2! 98! } } \\\\\frac{63\times 62}{100 \times 99} \\\\\frac{3,906}{9,900} \\\\0.3945

Therefore, probability that both of them use it = 0.3945

4 0
3 years ago
A 4-meter ladder is placed against a wall so
krek1111 [17]

Answer:

1.5 meters.

Step-by-step explanation:

The ladder is 4 meters.

It reaches the height of 3.7 meters on a wall.

This creates a right angled triangle of hypotenuse (4 meters) and height (3.7 meters).

We are to find the base length.

Applying the Pythagorean theorem;

a² + b² = c² , where a is the base length, b is the height length and c is the hypotenuse length.

∴ a² = c² - b² = 4² - 3.7² = 2.31

a (base length) = \sqrt{2.31} = 1.519868415 meters

To round off the answer to the nearest tenth of a meter;

Tenth of a meter = \frac{1}{10} × 1 meter = 0.1 meters

So we're rounding off the answer to one decimal place.

I.e 1.519868415 meters = 1.5 meters (rounded off to the nearest tenth of a meter.

8 0
3 years ago
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