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3 years ago

This is the problem that needs to be graphed 4y=-8x+12

Mathematics

1 answer:

love history [14]3 years ago

3 0

Answer:

graph as illustrated

Step-by-step explanation:

4y = - 8x + 12 ..... both side divided by 4 to simplify the equation

y = -2x + 3

find two points on the line

x = 0, y = 3 .... (0,3)

x = 1, y = 1 ..... (1,1)

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The price of a watch was increased by 20% to £162. What was the price before the increase?

vfiekz [6]

Answer:

= £135

Step-by-step explanation:

Original price = 100%

Percentage increase = 20%

New price = 100% + 20% = 120%

If 120% = £162

What about 100% = ?

= (100 x 162) ÷ 120

= 16200 ÷ 120

= £135

6 0

3 years ago

Read 2 more answers

M plus three n equals 1 for n

sineoko [7]

You use 1 step equation to find out the answer

8 0

4 years ago

At a cost restaurant the cost for a hot dog and a soft drink is $2.10. The cost for two hot dogs and three soft drinks is $5.15.

Alja [10]

Answer:

The cost of soft drink is $0.95

Step-by-step explanation:

Let the cost of hot dog be x

Cost of 2 hot dogs = 2x

Let the cost of soft drink be y

Cost of 3 soft drinks = 3y

At a cost restaurant the cost for a hot dog and a soft drink is $2.10.

So, x+y=2.10

The cost for two hot dogs and three soft drinks is $5.15

So, 2x+3y=5.15

Plot the lines on the graph:

x+y=2.10 --Purple line

2x+3y=5.15 --- Black Line

Intersection point =(x,y)=(1.15,0.95)

Hence The cost of soft drink is $0.95

7 0

3 years ago

You want to place a towel bar that is 24 1⁄4 centimeters long in the center of a door that is 70 1⁄3 centimeters wide. How far s

Leviafan [203]

Heres Is Your Answer Below

70 1/3- 24 1/4=?

70 4/12- 24 3/12= 46 1/12

46 1/12 /2= 23 1/24

23 1/24 Would be Your Answer

Have A Great Day!

3 0

3 years ago

The quality control manager of a chemical company randomly sampled twenty 100-pound bags of fertilizer to estimate the variance

lisabon 2012 [21]

Answer:

The 95% confidence interval for the variance in the pounds of impurities would be $3.829 \leq \sigma^2 \leq 14.121$ .

Step-by-step explanation:

1) Data given and notation

$s^2 =6.62$ represent the sample variance

s=2.573 represent the sample standard deviation

$\bar x$ represent the sample mean

n=20 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:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case the sample variance is given and for the sample deviation is just the square root of the sample variance.

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

$df=n-1=20-1=19$

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 table to find the critical values.

The excel commands would be: "=CHISQ.INV(0.025,19)" "=CHISQ.INV(0.975,19)". so for this case the critical values are:

$\chi^2_{\alpha/2}=32.852$

$\chi^2_{1- \alpha/2}=8.907$

And replacing into the formula for the interval we got:

$\frac{(19)(6.62)}{32.852} \leq \sigma^2 \frac{(19)(6.62)}{8.907}$

$3.829 \leq \sigma^2 \leq 14.121$

So the 95% confidence interval for the variance in the pounds of impurities would be $3.829 \leq \sigma^2 \leq 14.121$ .

4 0

4 years ago