MATHEMATICS HIGH SCHOOL

-8/9 divided by -8/9 in fraction form

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

If you ever divide a number by itself, it will be 1.

Answer 2

Answer:

Answer:

I believe its 1

Step-by-step explanation:

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A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elapsed, which function represents the scenario?A f(x) = 1500(1.15)x

B f(x) = 1500(115)x

C f(x) = 1500(2.15)x

D f(x) = 1500(215)x

Answers

Answer:

Option (c) is correct.

$f(x)=1500(2.15)^x$ function representing the increase of bacteria every hour x,

Step-by-step explanation:

Given : A colony contains 1500 bacteria. The population increases at a rate of 115% each hour.

we have to find the function that represents the given scenario.

Let x represents the number of hours elapsed.

Given A colony contains 1500 bacteria

and number of bacteria is increasing at a rate of 115% each hour.

Using formula for Compound interest , we have,

$A=P(1+(r)/(100) )^t$

Where A is amount

T is time period

R is rate of interest

Here, P = 1500

T = x hours

R = 115%

Let f(x) be the function representing the increase of bacteria every hour.

Substitute, we have,

$f(x)=1500(1+(115)/(100) )^x$

Simplify, we get,

$f(x)=1500(1+1.15)^x$

$f(x)=1500(2.15)^x$

Thus, $f(x)=1500(2.15)^x$ function representing the increase of bacteria every hour x,

its f(x)=1500(2.15)x so c hope this helps

Give the digits in the ones place and the tenths place.
86.59

Answers

Digit in ones place- 6
Digit in tenths place- 5

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 247 days and standard deviation sigma equals 16 days. Complete parts (a) through (f) below.

Answers

Answer:

The answer is given below

Step-by-step explanation:

a) What is the probability that a randomly selected pregnancy lasts less than 242 days

First we have to calculate the z score. The z score is used to determine the measure of standard deviation by which the raw score is above or below the mean. It is given by:

$z=(x-\mu)/(\sigma)$

Given that Mean (μ) = 247 and standard deviation (σ) = 16 days. For x < 242 days,

$z=(x-\mu)/(\sigma)=(242-247)/(16)=-0.31$

From the normal distribution table, P(x < 242) = P(z < -0.3125) = 0.3783

(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.

If a sample of 17 pregnancies is obtained, the new mean $\mu_x=\mu=247,$ the new standard deviation: $\sigma_x=\sigma/√(n) =16/√(17) =3.88$

c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 242 days or less

$z=(x-\mu)/(\sigma/√(n) )=(242-247)/(16/√(17) )=-1.29$

From the normal distribution table, P(x < 242) = P(z < -1.29) = 0.0985

d) What is the probability that a random sample of 49 pregnancies has a mean gestation period of 242 days or less?

$z=(x-\mu)/(\sigma/√(n) )=(242-247)/(16/√(49) )=-2.19$

From the normal distribution table, P(x < 242) = P(z < -2.19) = 0.0143

(e) What might you conclude if a random sample of 49 pregnancies resulted in a mean gestation period of 242 days or less?

It would be unusual if it came from mean of 247 days

f) What is the probability a random sample of size 2020 will have a mean gestation period within 11 days of the mean

For x = 236 days

$z=(x-\mu)/(\sigma/√(n) )=(236-247)/(16/√(20) )=-3.07$

For x = 258 days

$z=(x-\mu)/(\sigma/√(n) )=(258-247)/(16/√(20) )=3.07$

From the normal distribution table, P(236 < x < 258) = P(-3.07 < z < 3.07) = P(z < 3.07) - P(z < -3.07) =0.9985 - 0.0011 = 0.9939

A man can paint one house in 12 hours. At this rate, how many houses could 18 men paint in 6 hours? A) 3 houses B) 6 houses C) 9 houses D)

Answers

Answer:

The correct option is C. 9 houses could 18 men paint in 6 hours.

Step by step explanation:

Let the number of houses paint by 18 men in 6 hours be x.

One man can paint one house in 12 hours.

The part of house painted by a man in 1 hour is $(1)/(12)$ .

The part of house painted by a man in 6 hour is

$(6)/(12)=(1)/(2)$

The total number of men is 18. Therefore the number of houses painted by 18 men is

$x=(1)/(2)* 18=9$

Therefore correct option is C. 9 houses could 18 men paint in 6 hours.

4.702 x 10–4 i need this answer in standard notation
.

Answers

The answer should be 0.0004702

4.702*10^-4=4.702*.0001=.0004702

Write the equation in slope-intercept form of the line that has a slope of 6 and contains the point (1, 1)

Answers

$m=6 , \ \ \ (1, 1) \n \nTo \ find \ our \ equation \ we \ will \ use \ the \ formula: \n \n y - y _(1) = m(x - x _(1)), wherem \ is \ the \ slope \ and \ (x _(1), y _(1)) \ is \ the \ point \n \nm=6 , \ \ x_(1)=1 , \ \ y_(1) = 1\n\ny - 1 = 6(x-1)\n\ny-1=6x -6 \n\ny=6x-6+1\n\ny=6x-5$

y=ax+b
slope is 6 so y=6x+b
point is putting to y=6x+b
1=6*1+b
b=-5
y=6x-5

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