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3 years ago

Select Exponential growth or Exponential decay for each function.

Mathematics

1 answer:

Lena [83]3 years ago

7 0

Answer:

f(x)=(1.023) ⋅ 3^x Growth

f(x)=3 ⋅ (0.072)^x Decay

f(x)=4 ⋅ (0.035)^x Decay

f(x)=2 ⋅ (1.34)^x Growth

Step-by-step explanation:

An exponential function at its heart has a base number of rate. If the rate is less than 1, then the function decays. If the base number or rate is greater than 1, then the function grows and increase.

f(x)=(1.023) ⋅ 3^x Rate 3 - Growth

f(x)=3 ⋅ (0.072)^x Rate 0.072 - Decay

f(x)=4 ⋅ (0.035)^x Rate 0.035 - Decay

f(x)=2 ⋅ (1.34)^x Rate 1.34 - Growth

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A half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of

Ainat [17]

Answer:

99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

Step-by-step explanation:

We are given that a half-century ago, the mean height of women in a particular country in their 20's was 64.7 inches. Assume that the heights of today's women in their 20's are approximately normally distributed with a standard deviation of 2.07 inches.

Also, a samples of 21 of today's women in their 20's have been taken.

Let $\bar X$ = sample mean heights

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

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean height of women = 64.7 inches

$\sigma$ = standard deviation = 2.07 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, Probability that the sample of 21 of today's women in their 20's have mean heights of at least 65.86 inches is given by = P( $\bar X$ $\geq$ 65.86 inches)

P( $\bar X$ $\geq$ 65.86 inches) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{65.86-64.7}{\frac{2.07}{\sqrt{21} } }$ ) = P(Z $\geq$ -2.57) = P(Z $\leq$ 2.57)

= 0.99492 or 99.5%

The above probability is calculated by looking at the value of x = 2.57 in the z table which has an area of 0.99492.

Therefore, 99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

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3 years ago

TEMA: Propriedade de Potência e Multiplicação de Números Negativos e Positivos.

GalinKa [24]

The correct answer is 34

7 0

3 years ago

What are the roots of the equation? x^2+24=14×

defon

$\begin{gathered} x^2+24=14x \\ x^2-14x+24=0 \end{gathered}$

Therefore,

$\begin{gathered} x^2-14x+24=0 \\ x^2-2x-12x+24=0 \\ x(x-2)-12(x-2)=0 \\ (x-2)(x-12)=0 \\ x=2 \\ or\text{ } \\ x=12 \end{gathered}$

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1 year ago

6. Find the missing value. Show your work.

VLD [36.1K]

For the 51-deg angle, y is the opposite leg, and 12 is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.

sin A = opp/hyp

sin 51 deg = y/12

y = 12 * sin 51 deg

y = 9.3

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3 years ago

Find the sum of (6d+5)-(2-3d)

devlian [24]

I think you have to combine like terms to solve this one. (6d - 3d) + (5 - 2) = 3d + 3

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3 years ago