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3 years ago

11

A figure has rotation symmetry if there is a rotation by an angle of 0 < theta < ______° around a point that results in th

e image coinciding with the preimage.

1 answer:

Viktor [21]3 years ago

3 0

Rotational symmetry has to occur between 0 and 180 degrees

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What is -138>-6(6b-7)

sertanlavr [38]

First you distribute the six -138>-36b+42 Then you subtract 42 -180>-36b Next, you divide by -36 and since you are dividing by a negative, you turn the sign around 5

6 0

3 years ago

The scores for a certain test of intelligence are normally distributed with mean 85 and standard deviation 11. Find the 90th per

jonny [76]

Answer:

99.1 is the 90th percentile of these scores.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 85

Standard Deviation, σ = 11

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

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

We have to find the value of x such that the probability is 0.90

$P( X < x) = P( z < \displaystyle\frac{x - 85}{11})=0.90$

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

$P(z \leq 1.282) = 0.90$

Putting values, we get,

$\displaystyle\frac{x - 85}{11} = 1.282\\\\x = 99.1$

Thus, 99.1 is the 90th percentile of these scores.

5 0

3 years ago

The fox population in a certain region has a continuous growth rate of 5% per year. It is estimated that the population in the y

kvasek [131]

Answer:

P(t) = A * (1 + r)^t ;

14,922 ;

Year 2013

Step-by-step explanation:

Given the following :

Continuous growth rate(r) = 5% = 0.05

Population in year 2000 = Initial population (A) = 10,100

Time(t) = period (years since year 2000)

A)

Find a function that models the population,P(t) , after (t) years since year 2000 (i.e. t= 0 for the year 2000).

P(t) = A * (1 + r)^t

Trying out our function for t = year 2000, t =0

P(0) = 10,100 * (1 + 0.05)^0

P(0) = 10,100 * 1.05^0 = 10,100

B.)

Use your function from part (a) to estimate the fox population in the year 2008.

Year 2008, t = 8

P(8) = 10,100 * (1 + 0.05)^8

P(8) = 10,100 * 1. 05^8

P(8) = 10,100 * 1.4774554437890625

= 14922.29

= 14,922

c) Use your function to estimate the year when the fox population will reach over 18,400 foxes. Round t to the nearest whole year, then state the year.

P(t) = A * (1 + r)^t

18400 = 10,100 * (1.05)^t

18400/10100 = 1.05^t

1.8217821 = 1.05^t

1.05^t = 1.8217821

In(1.05^t) = ln(1.8217821)

0.0487901 * t = 0.5998151

t = 0.5998151 / 0.0487901

t = 12.293787

Therefore eit will take 13 years

2000 + 13 = 2013

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3 years ago

DJ by 14 photos for 0.756 how much change will he receive if you pay for $15

Pavlova-9 [17]

The amount of change he’ll receive is $4.416

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2 years ago

Anyone want to answer the number for X???????

Anna007 [38]

Answer:

$\frac{\sqrt{10} }{2}$

Step-by-step explanation:

Using cosine (since that is adjacent over hypotenuse), cos(60)=1/2 so your answer is hypotenuse*1/2= $\sqrt{10}*\frac{1}{2}=\frac{\sqrt{10} }{2}$

3 0

2 years ago

Read 2 more answers