MATHEMATICS HIGH SCHOOL

(-6x+3)-(-6x+8)
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Answers

Answer 1
Answer:

Answer:

(-6x + 3) - (-6x + 8) simplifies to 11.

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Jane just took out $135 from her checking account. If Jane now has a balance of $650 in her account, how much did Jane have in the account before she took out any money? question1: If x represents the variable in the word problem above, explain what the variable should represent. x=_________

Answers

Jane have \$ 785 in the account before she took out any money and variable x would represent total money.

What is variable ?

Variable a symbol mainly a letter standing in for an unknown numerical value in an equation.

We have,

Money took out =\$ 135

Money left in account =\$ 650

So,

Total money in account =  Money left in account + Money took out

                                        =650+135

So, Total money in account =\$ 785

And,

If x represents the variable then it would be for total money,

i.e.

     x=650+135

Hence, we can say that Jane have \$ 785 in the account before she took out any money and variable x would represent total money.

To know more about Variable click here

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question1: If x represents the variable in the word problem above, explain what the variable should represent.Then x =785

What are the means of the following proportion 3/15 = 12/60

Answers

I want to say it is 3 and 15 but I could be wrong

Use the given data to construct a confidence interval for the population standard deviation, σσ. Assume that the population has a normal distribution: The football coach randomly selected the following players and timed how long each player took to perform a certain drill. The times (in minutes) were:[10,10,15,10,11,7,5,5]

Find a 95.0 confidence interval for the population standard deviation σ

A) 2.6194049<σ<6.43192582.6194049<σ<6.4319258
B) 2.2194049<σ<6.83192582.2194049<σ<6.8319258
C) 2.6194049<σ<7.43192582.6194049<σ<7.4319258
D) None of These

Answers

Answer:

The confidence interval for the population standard deviation would be:

C) 2.6194049<σ<7.4319258

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

\bar x represent the sample mean

n=8 the sample size

Confidence=95% or 0.95

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates.

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

((n-1)s^2)/(\chi^2_(\alpha/2)) \leq \sigma \leq ((n-1)s^2)/(\chi^2_(1-\alpha/2))

On this case we need to find the sample standard deviation with the following formula:

s=\sqrt{(\sum_(i=1)^8 (x_i -\bar x)^2)/(n-1)}

And in order to find the sample mean we just need to use this formula:

\bar x =(\sum_(i=1)^n x_i)/(n)

The sample mean obtained on this case is \bar x= 9.125 and the deviation s=3.357

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=8-1=7

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical values.

The excel commands would be: "=CHISQ.INV(0.025,7)" "=CHISQ.INV(0.975,7)". so for this case the critical values are:

\chi^2_(\alpha/2)=16.012

\chi^2_(1- \alpha/2)=1.690

And replacing into the formula for the interval we got:

((7)(3.357)^2)/(16.012) \leq \sigma ((7)(3.357)^2)/(1.690)

4.927 \leq \sigma^2 \leq 46.678

Now we just take square root on both sides of the interval and we got:

2.2194049 \leq \sigma \leq 6.8319258

So the best option would be:

C) 2.6194049<σ<7.4319258

The perimeter of a rectangle is 60 centimeters. The base is 2 times the height. What are the dimensions of the rectangle?

Answers

licenciado en Letrase (base 20 y altura 10 cm. 

What are the x intercepts of the graph of this function? Y=6*2+10x - 4

Answers

x intercpe is when y=0

0=6x^2+10x-4
factor
0=2(3x^2+5x-2)
assume
0=3x^2+5x-2
0=(x+2)(3x-1)
set to zero
x+2=0
x=-2
3x-1=0
x=1/3

x intercepts are -2 and 1/3

D is answere
y = 6x^2 + 10x - 4
= 6x^2 + 12x - 2x - 4
= 6x(x + 2) - 2(x + 2)
= (6x - 2)(x + 2)

X intercepts are: -2 and 1/3 

it is D

F(x) = 3x - 3
g(x) = 4x + 5

find (f+g) (3)

Answers

Answer:

23

Step-by-step explanation:

(f + g)(3) = f(3) + g(3)

f(3) = 3(3) - 3 = 9 - 3 = 6

g(3) = 4(3) + 5 = 12 + 5 = 17

Then

(f + g)(3) = 6 + 17 = 23
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