All categories

3 years ago

Four whole numbers are each rounded to the nearest 10

Mathematics

2 answers:

kirill115 [55]3 years ago

8 0

9514 1404 393

Answer:

106

Step-by-step explanation:

Each of the whole numbers could be 4 greater than the value it is rounded down to. Then the maximum original sum is ...

90 +4 +4 +4 +4 = 106

Example

The numbers could be 14, 24, 34, 34. Their rounded values are 10, 20, 30, 30, for a total of 90. The total of the original numbers is 106.

erik [133]3 years ago

8 0

Answer:

106

Step-by-step explanation:

You might be interested in

Given the number, two-fifths, generate its equivalent forms as a fraction, a decimal, and a percent. In addition, give a real wo

vichka [17]

The number in the three different forms is as follows.

2/5 (fraction), 0.2 (decimal), and 20% (percent).

You could use percentages for the results of a poll. For example, if you held a poll for which flavour of ice cream is your favorite. Let's say you surveyed 100 kids and 50 kids voted chocolate, 30 vanilla, and 20 strawberry. Then you could say 20% voted for strawberry.

You could use the decimal form for money. For example, let's say you want to buy something that costs $10.20 and you only have 10 dollars. You could say that you would need 20 more cents, or $0.20.

As for the fraction, you could use this for measurements. For example, let's say you have a piece of fabric. You want to cut it up into 5 equal pieces, but only use two of those pieces. You could say that you would only use 2/5 of the fabric.

I hope I helped you out! If anything is wrong, please let me know about it! :)

6 0

4 years ago

A stereo system is being installed in a room with a rectangular floor measuring 15 feet by 11 feet and a 10-foot ceiling. The s

Likurg_2 [28]

Answer:

Shortest length of wire = 28.60 feet

Step-by-step explanation:

Distances In Rectangular Objects

If we want to go from one point in space to another one, the shortest possible distance is through a line. But if we are not allowed to, we must try to use as many direct paths as possible to minimize the distance.

In our case, the minimum distance will be going right from one corner to the other through the air, but we must use walls and floor. So our choices are limited to shorten the distance as much as possible by taking paths from corners whenever it's possible.

Starting from the corner where the stereo system is located, we must try to reach the other corner by using one of these options

Cross the floor by its diagonal and then go right to the other corner in the ceiling
Cross one wall by its diagonal and then go to the other corner. It can be done for each adjacent wall to the stereo system.

If we try the first option first, the diagonal of the floor measures

$\displaystyle \sqrt{15^2+11^2}$

And now we reach the other corner, traveling a total distance of

$\displaystyle L_1\sqrt{15^2+11^2}+10$

$\displaystyle L_1=28.60\ {ft}$

Trying one of the adjacent walls

$\displaystyle L_2=\sqrt{15^2+10^2}+11$

$\displaystyle L_2=29.028\ feet$

And the final option is

$\displaystyle L_3=\sqrt{10^2+11^2}+15\ feet$

$\displaystyle L_3=29,87\ feet$

We can see the first is the shortest distance, so to reach the speaker we must cross the floor by its diagonal and the go up to the speaker

Note: Each of the options analyzed have a identical counterpart by taking the opposite side first. For example, the path floor-wall could have been done as wall-ceiling, with identical results

4 0

3 years ago

Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate

Leviafan [203]

Answer:

Probability of having student's score between 505 and 515 is 0.36

Given that z-scores are rounded to two decimals using Standard Normal Distribution Table

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu (Mean) = 510, SD = 10.4 we have z(x) by using z(x) = (x - Mu)/SD as under:

In our case, we have x = 505 & 515

Approach 1 using Standard Normal Distribution Table:

z for x=505: z(505) = (505-510)/10.4 gives us z(505) = -0.48

z for x=515: z(515) = (515-510)/10.4 gives us z(515) = 0.48

Afterwards using Normal Distribution Tables and rounding the values to two decimals we find the probabilities as under:

P(505) using z(505) = 0.32

Similarly we have:

P(515) using z(515) = 0.68

Now we may find the probability of student's score between 505 and 515 using:

P(505 < x < 515) = P(515)-P(505) = 0.68 - 0.32 = 0.36

PS: The standard normal distribution table is being attached for reference.

Approach 2 using Excel or Google Sheets:

P(x) = norm.dist(x,Mean,SD,Commutative)

P(505) = norm.dist(505,510,10.4,1)

P(515) = norm.dist(515,510,10.4,1)

Probability of student's score between 505 and 515= P(515) - P(505) = 0.36

Download pdf

6 0

3 years ago

The classroom has 10 desks with boys and girls. Show one combination of boys and girls

Anna35 [415]

Answer:

one combination could be 6 girls and 4 boys

3 0

3 years ago

a middle school has a speech club with a total of 36 students. The ratio of girls to boys is 4:5. How many girls are in the spee

andrezito [222]

The ratio is 4:5 meaning out of 9 students 4 are girls and 5 are boys. If there are 36 students, 9 will go into 36 four times so if we multiply each number of the ratio by 4 it gives us the answer.

4:5
4x4 = 16
5x4 = 20

The ratio is 16:20

16 girls to 20 boys... 16 +20 = 36

5 0

3 years ago