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2 years ago

PLS ANSWER QUICK

Mathematics

2 answers:

Alex17521 [72]2 years ago

6 0

Answer & Step-by-step explanation:

First, we will multiply 5 by 28 to find out the total number of ages in the room.

5 * 28 = 140

Now, we will multiply 6 by 29 to find out the total number of ages in the room after the new person comes in.

6 * 29 = 174

Now, in order for us to find the age of the new person, then we will subtract 140 from 174.

174 - 140 = 34

So, the person that entered the room is 34 years old.

Lena [83]2 years ago

3 0

Answer:

Step-by-step explanation:

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3× - 4y =65 when u =4

sergey [27]

If Y=4 then X=27
hope this helps

8 0

2 years ago

Read 2 more answers

Alison walks 2/5 mile from her house to the mailbox. Then she walks 1/3 mile to the bus stop. What is the total distance Alison

stealth61 [152]

Answer:

Total distance:

d=11/15 miles or 0.73 miles

Step-by-step explanation:

Alison walks 2/5 miles from her house to the mailbox.

Then she walks 1/3 mile to the bus stop.

Thus, the total distance can be calculated by adding the miles

i.e.

$d=\:\frac{2}{5}+\frac{1}{3}$

LCM of 5,3 is 15

$=\frac{6}{15}+\frac{5}{15}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$

$=\frac{6+5}{15}$

$=\frac{11}{15}$

$=\:0.73$ miles

Thus,

Total distance:

d=11/15 miles or 0.73 miles

7 0

2 years ago

Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old

DedPeter [7]

Answer:

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

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".

$\bar X=39$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=25 represent the sample size

Solution to the problem

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

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

The margin of error is given by:

$ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

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 value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

And replacing we got:

$ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392$

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

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

7 0

2 years ago

A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

7 0

2 years ago

Anna put $500 into a savings account and made no more deposits or withdrawals. The account earns 2% simple interest per year. Ho

castortr0y [4]

Answer:

$552.04

Step-by-step explanation:

Lauren, use the compound amount formula: A = P(1 + r)^n.

Here P is the principal and is $500; r is the annual interest rate as a decimal fraction, and n is the number of years.

After 5 years, Anna will have: $500(1 + 0.02)^5 = $552.04

4 0

2 years ago