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3 years ago

Y2 – 3y + 2 = 0 solve buy factoring

Mathematics

1 answer:

ivolga24 [154]3 years ago

7 0

Answer:

y²-3y+2=0

=> y²-(2+1)y +2=0

=> y²-2y-y+2=0

=> y(y-2)-1(y-2)=0

=> (y-2)(y-1)=0

=> y = 2 or y= 1

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Question: The meaning of four consecutive even numbers is 15.

nasty-shy [4]

First, a bit of housekeeping:

<span>The meaning of four consecutive even numbers is 15. Wouldn't that be "mean," not meaning? Very different concepts!

The greatest of these numbers is _______ a^1

"a^1" means "a to the first power. There are no powers in this problem statement. Perhaps you meant just "a" or "a_1" or a(1).

The least of these numbers is ______a^2.
No powers in this problem statement. Perhaps you meant a_2 or a(2)

In this problem you have four numbers. All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).

The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers. Here this mean is 15. The mean is most likely positioned between b anc c.

So here's what we have: a+b+c+d
------------- = 15
4

This is equivalent to a+b+c+d = 60.

Since the numbers a, b, c and d are consecutive even integers, let's try this:

a + (a+2) + (a+4) + (a+6) = 60. Then 4a+2+4+6=60, or 4a = 48, or a=12.

Then a=12, b=14, c=16 and d=18. Note how (12+14+16+18) / 4 = 15, which is the given mean.

We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.

</span>

8 0

3 years ago

A company spends 13% of its month budget on rent which total $2600 which proportion can be used to calculate the company’s total

yaroslaw [1]

Answer:

20,000

Step-by-step explanation:

We can create a proportion to find the total budget. A proportion is an equation where two ratios are set equal to each other. We create two fractions using the budget and percents.

$\frac{13}{100} =\frac{2600}{x}$

We begin solving by cross multiplying numerator to denominator of each fraction.

$13(x)=100(2600)\\13x=260000\\\frac{13x}{13}=\frac{260000}{13} \\20,000=x$

5 0

3 years ago

Read 2 more answers

What best describes the number 5 ?write prime or composite or both prime and composite

Salsk061 [2.6K]

It is prime because nothing equals it other than 5x1

8 0

4 years ago

Required information An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiv

Natasha2012 [34]

Answer:

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

Step-by-step explanation:

Previous concepts

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 means 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.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=652.6$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=311.7 represent the sample standard deviation

n=50 represent the sample size

Soltuion to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=50-1=49$

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 value. The excel command would be: "=-T.INV(0.025,49)".And we see that $t_{\alpha/2}=2.01$