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bixtya [17]
3 years ago
5

If F(x) = 2x-3/5 which of the following is the inverse of F(x)?

Mathematics
1 answer:
fredd [130]3 years ago
3 0
The inverse would be f^-1 (x) = 1/2x + 3/10
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If you write out the numbers from 1 through 40 (including 1 and 40), how many numbers have a "5" in them?
GaryK [48]

Answer:

4

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40

6 0
3 years ago
Para armar un prisma cuadrangular, Edgar trazó la plantilla y lo dividió en seis secciones, como se muestra en la imagen
Llana [10]

Answer:

1. x^{2} + x^{2} + (10\cdot x) \cdot (4)

Step-by-step explanation:

(This exercise is written in Spanish and therefore explanation will be held in such language)

El área de este polígono regular es la suma de las áreas de los 4 rectángulos y 2 cuadrados, es decir:

A_{tot} = 4\cdot A_{r} + 2 \cdot A_{c}

A_{tot} = 4 \cdot (10)\cdot x + 2\cdot x^{2}

El cual corresponde con la opción 1.

4 0
3 years ago
A random sample of 150 men found that 88 of the men excercise regularly, while a random sample 200 women found that 130 of the w
melamori03 [73]

Answer:

The hypothesis is:

<em>H₀</em>: p_{X}-p_{Y}=0.

<em>Hₐ</em>: p_{X}-p_{Y}.

Step-by-step explanation:

Let <em>X</em> = number of men who exercise regularly and <em>Y</em> = number of women who exercise regularly.

The information provided is:

n_{X}=150\\X=88\\n_{Y}=200\\Y=130

Compute the sample proportion of men and women who exercise regularly as follows:

\hat p_{X}=\frac{X}{n_{X}}=\frac{88}{150}=0.587

\hat p_{Y}=\frac{Y}{n_{Y}}=\frac{130}{200}=0.65

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 150 and \hat p_{X}=0.587.

The random variable <em>Y</em> also follows a Binomial distribution with parameters <em>n</em> = 200 and \hat p_{Y}=0.65.

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

\hat p=p

The standard deviation of this sampling distribution of sample proportion is:

\sigma_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}

So, the sampling distribution of the proportion of men and women who exercise regularly follows a Normal distribution.

A two proportion <em>z</em>-test cab be performed to determine whether the proportion of women is more than men who exercise regularly.

The hypothesis for this test cab be defined as:

<em>H₀</em>: The proportion of women is same as men who exercise regularly, i.e. p_{X}-p_{Y}=0.

<em>Hₐ</em>: The proportion of women is more than men who exercise regularly, i.e. p_{X}-p_{Y}.

6 0
3 years ago
Read 2 more answers
A student uses four different tape-measures to estimate the length of a ruler manufactured to be exactly 1 foot long. Which meas
Scrat [10]
B) 12 inches would be the most accurate measurement. 

Since the ruler is exactly 1 foot long, the most accurate measurement is 12 inches. 12.005 is a tempting answer, since it is the most specific/exact, but 12 inches is the most accurate, since this is equal to exactly one foot.
7 0
3 years ago
Read 2 more answers
A binomial distribution
Alina [70]

Answer:

0.324

Step-by-step explanation:

Given that :

Success rate = 30%

p = 30% = 0.3

q = 1 - p = 1 - 0.3 = 0.7

Number of trials, n = 6

Probability of having exactly 2 successes ; x = 2

P(x = 2)

Usibgbtge binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 2) = 6C2 * 0.3^2 * 0.7^4

P(x = 2) = 15 * 0.3^2 * 0.7^4

P(x = 2). = 0.324135

P(x = 2) = 0.324

3 0
3 years ago
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