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3 years ago

HELP i have three questions can anyone help this is a exam please hurry and answer with a,b, c, or d.

Mathematics

2 answers:

k0ka [10]3 years ago

8 0

Answer:

Step-by-step explanation:

kenny6666 [7]3 years ago

3 0

The answer is a, they are vertical angles and vertical angles are congruent

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What is the answer for this

Georgia [21]

The domain is all real numbers

5 0

3 years ago

Given f(x) = 4x + 2, find f-1(3).

Alexxandr [17]

Answer:

1/4

Step-by-step explanation:

The inverse function tells you the input value that corresponds to the given output value of the function.

<h3>Application</h3>

You want f^-1(3), which is the value of x such that f(x) = 3.

f(x) = 3 = 4x +2

1 = 4x . . . . . . subtract 2

1/4 = x . . . . . divide by 4

The inverse function of 3 is 1/4:

$\boxed{f^{-1}(3)=\dfrac{1}{4}}$

4 0

2 years ago

During the spring, when the snow and ice melt in the Inka Binka Mountains, it causes the Habooka River to rise. If the river ris

stepladder [879]

Answer:

6 centimeters per day

Step-by-step explanation:

Since there are 7 days in one week, 42 cm divided by 7 days will equal to the answer 6 centimeters per day.

5 0

2 years ago

Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.

melamori03 [73]

Answer:

a) 0.8413

b) 421

c) $P_{95} = 189.675$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(IQ scores at most 180)

P(x < 180)

$P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)$

Calculation the value from standard normal z table, we have,

$P(x < 180) = 0.8413 = 84.13\%$

b) Number of the members of the club have IQ scores at most 180

n = 500

$\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421$

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

$P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95$

Calculation the value from standard normal z table, we have,

$P(z < 1.645) = 0.95$

$\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675$

$P_{95} = 189.675$

8 0

3 years ago

In 1960, the population of a town was 14 thousand people. Over the course of the next 50 years, the town grew at a rate of 30 pe

andre [41]

SOLUTIONS

Given: Assume y is the population

$\begin{gathered} t=0=1960,y=14030 \\ t=1=1961,y=14060 \\ so\text{ b = 14000} \\ so\text{ k = 30} \end{gathered}$

The town grow at the rate of 30 people per year.

$y=kt+14000$ $y=30t+14000$

(A) The population predicted to be in 2030 will be

$\begin{gathered} 2030-1960=70 \\ y=30k+14000 \\ y=30(70)+14000 \\ y=2100+14000 \\ y=16100people \end{gathered}$

(B) so when y = 15000, find t

$\begin{gathered} y=15000 \\ y=30t+14000 \\ 15000=30t+14000 \\ 15000-14000=30t \\ 1000=30t \\ t=\frac{1000}{30} \\ t\approx33 \\ t=1960+33 \\ t=1993 \end{gathered}$

3 0

1 year ago