Identify the factors of 15ab + 35a - 6b

John is standing on a bridge when he accidentally drops his toy over the railing. The table shows the height in feet, f(t), of t

aalyn [17]

Answer:

32

Step-by-step explanation:

3 0

3 years ago

The standard deviation is expressed in absolute terms (i.e. in the same unit of measure as the data: lbs;inches;dollars;etc) whi

NikAS [45]

Answer:

a) True

Step-by-step explanation:

The given statement is true.

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

The standard deviation express the variation of data from the mean and therefore, have the same unit as the data like lbs, inches, dollars, etc.

Coefficient of variation on the other hand is the ratio of standard deviation and mean. It is also a measure of dispersion but since it is a ratio, the units cancel each other.

$C.V = \dfrac{s}{\bar{x}}$

Thus, coefficient of variation is dimensionless.

Thus, it is a relative measure.

3 0

3 years ago

Write exponential function that goes through (0, 19) and (6, 1216)

PilotLPTM [1.2K]

Answer:

f(x)=19(2)^x

Standard form of exponential graph is f(x) = ab^x

Plugging in (0, 19), you get

19 = ab^0 -> 19 = a(1)

a=19

f(x)=19b^x

1216 = 19(b)^6

64=b^6

b=2

-> f(x) = 19(2)^x

5 0

3 years ago

In the United States, 35% of households own a 4K television. Suppose we take a random sample of 150 households. (a) Describe the

sattari [20]

Answer:

(a) The distribution of the sample proportion is Normal distribution.

(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.

Step-by-step explanation:

We are given that in the United States, 35% of households own a 4K television.

Suppose we take a random sample of 150 households.

Let $\hat p$ = sample proportion of households who own a 4K television.

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion of households own a 4K television = 35%

n = sample of households = 150

(a) The distribution of the sample proportion is related to the Normal distribution.

(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{ 0.50-0.35}{\sqrt{\frac{0.50(1-0.50)}{150} } }$ ) = P(Z > 3.67) = 1 - P(Z $\leq$ 3.67)

= 1 - 0.99988 = 0.00012

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.

Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.

8 0

3 years ago

Help please asap thanks

Ymorist [56]

Answer:

x = 8

Step-by-step explanation:

7 0

3 years ago

Identify the factors of 15ab + 35a - 6b - 14.