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Andreas93 [3]
3 years ago
15

Hi Need help ASAP please

Mathematics
1 answer:
solong [7]3 years ago
7 0

it's 3/2 because it rises three and goes over two. hope this helps !!

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Certain transportation company has a fleet of 210 vehicles. The average age of the vehicles is 4.25 years, with a standard devia
-BARSIC- [3]

Answer:

z = \frac{4-4.25}{\frac{1.5}{\sqrt{40}}}= -1.054

And we can find the following probability:

P(z

And the last probability can be founded using  the normal standard distribution or excel.

Step-by-step explanation:

For this case we define the random variable X as the ages of vehicles. We know the following info for this variable:

\bar X = 4.25 represent the mean

\sigma =18/12=1.5 represent the deviation in years

They select a sample size of n=40>30. And they want to find this probability:

P(\bar X

Since the sample size is large enough we can use the central limit theorem and the distribution for the sample mean would be:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

We can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score for 4 we got:

z = \frac{4-4.25}{\frac{1.5}{\sqrt{40}}}= -1.054

And we can find the following probability:

P(z

And the last probability can be founded using  the normal standard distribution or excel.

3 0
3 years ago
Stanley analyzes the table of values for a polynomial function. He has determined through applying Descartes’ rule of sign that
Rom4ik [11]

9514 1404 393

Answer:

  a) 4

  b) 3

Step-by-step explanation:

a. The total number of real and complex zeros is equal to the degree of the polynomial. That total is (1 negative real) + (3 positive real/complex) = 4 total zeros. The degree of the polynomial is 4.

The even degree is confirmed by the answer to part b, and by the end-behavior shown in the table, which has a tendency to -∞ for |x|→∞.

__

b. The intermediate value theorem tells you there will be zeros in the intervals (0, 1), (1, 2), and (2, 3) according to the values in the table. (The function changes sign in those intervals.) Thus there are 3 positive real zeros.

_____

<em>Additional comment</em>

Stanley cannot tell anything about Descartes' rule of signs by analyzing the table of function values. To use that rule, he must have terms of the polynomial. If he has those terms, he already knows the degree of the polynomial.

6 0
3 years ago
Hair must create a wiki that is open to his company’s employees
MAXImum [283]

Answer:

uh. Yeah totally

Step-by-step explanation:

8 0
3 years ago
An equilateral triangle and an isosceles triangle share a common side. what is the measure of ABC ?
erastovalidia [21]

Answer:

\angle ABC=116^o

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of the vertex angle ∠ABD of an isosceles triangle

we know that

An isosceles triangle has two equal sides and two equal angles

In this problem

\angle BDA=\angle BAD=62^o ----> the angles of the base are equals

Find the measure of the vertex angle ABD

\angle ABD=180\°-2*62\°=56\° ------> the sum of the internal angles of a triangle is equal to 180 degrees

step 2

Find the measure of the angle  ∠CBD in the equilateral triangle

we know that

A equilateral triangle has three  equal sides and three equal angles

The measure of the internal angle in a equilateral triangle is equal to 60 degrees

so

\angle CBD=60\°

step 3

Find the measure of the angle ∠ABC

we know that

\angle ABC=\angle ABD+\angle DBC ---> by addition angle postulate

substitute the values

\angle ABC=56^o+60^o

\angle ABC=116^o

8 0
3 years ago
Which graph represents the function f(x)=4⋅3x ?<br> Please help!!!
S_A_V [24]

Answer:

Option D is correct.

Step-by-step explanation:

An exponential function is in the form of y =ab^x where a is the initial value and b≠ 0 , b >1 .

Given: The function f(x) = y = 4 \cdot 3^x           ......[1]

The domain is all real numbers and the range is y > 0.

y-intercept defined as the graph crosses the y-axis.

Substitute the value of x= 0 in [1] to solve for y;

y = 4 \cdot 3^0  = 4

y-intercept = (0, 4)

End behavior:

when b =3 >1

then;

as x \rightarrow \infty , f(x)\rightarrow \infty

as  x \rightarrow -\infty , f(x)\rightarrow 0

therefore, the only graph which represents the function y = 4 \cdot 3^x   is Option D



6 0
3 years ago
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