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2 years ago

The graph of g(x) is a reflection and translation of f (x) = RootIndex 3 StartRoot x EndRoot.

Mathematics

1 answer:

Korvikt [17]2 years ago

4 0

Answer:

-∛(x-1)

Step-by-step explanation:

The point of inflection at (1, 0) means the graph has been translated 1 unit to the right. The point (2, -1) on the curve means it has been reflected across the x-axis.

Those conditions are met by ...

g(x) = -∛(x -1)

Translation "h" units to the right is accomplished by replacing x with (x-h) in a function definition. Reflection across the x-axis is accomplished by negating the output of the function. That is, ∛x has been transformed to -∛(x-1).

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Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. 27% of the possible Z values are grea

inessss [21]

Answer:

27% of the possible Z values are greater than 0.613

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

$\mu = 0, \sigma = 1$

27% of the possible Z values are greater than

The 100 - 27 = 73rd percentile, which is X when Z has a pvalue of 0.73. So X when the z-score is 0.613.

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

$0.613 = \frac{X - 0}{1}$

$X = 0.613$

27% of the possible Z values are greater than 0.613

6 0

2 years ago

18.Find the value of x rounded to the nearest tenth.

dusya [7]

Cross multiply:

6 * 8 = 9*x

48 = 9x

x = 48/9

x = 5.3

The answer is D.

5 0

2 years ago

Read 2 more answers

An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r =

Mamont248 [21]

<h2>The car is about 6.6 years old.</h2>

Step-by-step explanation:

Given : An equation for the depreciation of a car is given by $y = A(1-r)^t$ , where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%.

To find : Approximately how old is the car?

Solution :

The value of a car is half what it originally cost i.e. $y=\frac{1}{2} A$

The rate of depreciation is 10% i.e. r=10%=0.1

Substitute in the equation, $y = A(1-r)^t$

$\frac{1}{2} A= A(1-0.1)^t$

$\frac{1}{2}= (0.9)^t$

Taking log both side,

$\log(\frac{1}{2})=t\log (0.9)$

$t=\frac{\log(\frac{1}{2})}{\log (0.9)}$

$t=6.57$

$t\approx 6.6$

Therefore, the car is about 6.6 years old.

3 0

2 years ago

Read 2 more answers

Researchers are studying populations of two squirrels, the eastern gray and the western gray. For the eastern gray squirrel, abo

Tresset [83]

Answer:

p₁ - p₂ = ( -0,28 . 0 )

Step-by-step explanation:

Eastern gray squirrel

Sample size n₁ = 60

p₁ = 22 % p₁ = 0,22 then q₁ = 1 - 0,22 q₁ = 0,88

Western gray squirrel

Sample size n₂ = 120

p₂ = 36% p₂ = 0,36 Then q₂ = 1 - 0,36 q₂ = 0,64

p (s) = ( p₁ - p₂ ) /√ (p₁*q₁ ) / n₁ + (p₂*q₂/ n₂)

p(s) = ( 0,22 - 0,36 ) /√ (0,22*0,88)/60 + ( 0,36*0,64)/120

p(s) = -0,14 /0,071

p(s) = - 1,9718

Then

CI = ( p₁ - p₂ ) ± p(s) *EED

EED = /√ (p₁*q₁ ) / n₁ + (p₂*q₂/ n₂) = 0,071

CI = ( - 0,14 ± 1,9718 * 0,071 )

CI = ( - 0,14 ± 0,14 )

CI = ( - 0,28 ; 0 )

we will find with 95% of confidence the mean of the sampling distribution of the difference in sample proportion in the interval ( -0,28 , 0 )

p₁ - p₂ = ( -0,28 . 0 )

6 0

2 years ago

Bill and Pete shared 1/2 of a cake. Bill got to eat twice as much cake as Pete. What fraction of the whole cake did Bill eat?

KatRina [158]

Answer:

Step-by-step explanation:

Total cake shared=1/2

Pete share=x

Bill= twice as much as Pete

=2x

Pete's share+ Bill's share=total share

x+2x=1/2

3x=1/2

x=1/2÷3

x=1/2×1/3

=1/6

Pete's share=x=1/6

Bill's share=2x

=2(1/6)

=2/6

=1/3

3 0

2 years ago