All categories

3 years ago

Find three consecutive odd integers who sum is 13 more than twice the largest of the three integers

Mathematics

1 answer:

densk [106]3 years ago

4 0

Answer:

The integers would be 15, 17, and 19

Step-by-step explanation:

In order to find this, set the smallest equal to x, with the next largest being x + 2 and the largest being x + 4. Now we can write the following equation to solve for the smallest.

x + x + 2 + x + 4 = 2(x + 4) + 13

3x + 6 = 2x + 21

x + 6 = 21

x = 15

Now since the first is 15, we know the next two are 17 and 19

You might be interested in

Use the zero product property to find the solutions to the equation x^2-13x+30=0

Daniel [21]

We need to solve the zeroes of the given expression x² - 13x + 30 = 0 and we need to apply zero product property.First, we need to identify the two numbers which will result to -13 when added and it will result to 30 when multiplied. These two numbers are -3 and -10. Then, we can proceed with the solution such as:
x² - 13x + 30 = 0
(x-3) (x- 10) =0
From above, we have already the two zero product:
x-3 = 0
x1 = 3
x-10 =0
x2 =10

The answers are x1 = 3 and x2 = 10.

8 0

3 years ago

Read 2 more answers

Your first job after college has a salary of $35,000 and will increase 6.5% each year. If you stay with the same position, what

Schach [20]

35,000 divided 6.5 =5,384

8 0

2 years ago

2 What is the GCF of y2(y + 1) and y(y + 2)?

zheka24 [161]

Answer:

the answer is Y

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Describe a real world situation that can be represented using a table and a graph

Wittaler [7]

One real situation represented with a table is like amount of exercise in a week. in a graph it can be like if it increases or decreased each day. hope this helps!

3 0

3 years ago

Hoping to lure more shoppers downtown, a city builds a new public parking garage in the central district. The city plans to pay

andrezito [222]

Answer:

a) For this case we need to use a t distribution since we know the information about a sample and we don't know the population deviation.

b) $126-1.77\frac{15}{\sqrt{14}}=118.904$

$126+1.77\frac{15}{\sqrt{14}}=133.096$

So on this case the 90% confidence interval would be given by (118.904;133.096)

c) For this case since confidence interval include tha value of 130 so then we don't have enough evidence to conclude that the claim by the consultant is incorrect.

Step-by-step explanation:

Part a

For this case we need to use a t distribution since we know the information about a sample and we don't know the population deviation.

Part b

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.

$\bar X=126$ represent the sample mean

$\mu$ population mean (variable of interest)

s=15 represent the sample standard deviation

n=14 represent the sample size

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:

$df=n-1=14-1=13$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,13)".And we see that $t_{\alpha/2}=1.77$

Now we have everything in order to replace into formula (1):

$126-1.77\frac{15}{\sqrt{14}}=118.904$

$126+1.77\frac{15}{\sqrt{14}}=133.096$

So on this case the 90% confidence interval would be given by (118.904;133.096)

Part c

For this case since confidence interval include tha value of 130 so then we don't have enough evidence to conclude that the claim by the consultant is incorrect.

6 0

3 years ago