MATHEMATICS HIGH SCHOOL

A rectangle has a length 6 meters longer than double the width. The perimeters is i44 meters. Find the dimensions of the rectangle

Answers

Answer 1
Answer: use the information to form an equation
x = width
x + 6 = length
perimeter = length + length + width + width
x + x + x + 6 + x + 6 = 44
4x + 12 = 44
4x = 32
x = 32/4
x = 8
width = 8 meters
length = 8 + 6 = 14 meters

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A swimming pool is being filled ata rate of 15 pints per minute. How many gallons per hour is this?

Answers

we have to convert the rate from pints per minute to gallons per hour

1 pint = 0.125 gallon

1 minute - 1/60 hours

we can write 15 pints per minute as

15 pints / 1 minute

to convert pints to gallons we have to multiply by 0.125 gallon/pint

to convert minutes to hours we have to multiply by 1/60 hours/minute

(15 pints*0.125 gallons/pint)/(1 minute * 1/60 hours/minute)

=

rate is 112.5 gallons/hour
15(pints) x 60(min)=900 pints
.125 x 900= 112.5
 112.5 gallons per hour. 

3.3x10^5+44,000 in scientific notation? please please

Answers

Answer

4.4×10^4

For converting a number into scientific form just bring the decimal after the first non zero digit and write it with multiplier 10 raising to the number of places you moved the point

Step-by-step explanation:

If 35% of a number is 150, find 15% if the number

Answers

Answer:

64 2/7

Step-by-step explanation:

0.35x = 150

x = 3000/7

0.15(3000/7) = 450/7 = 64 2/7

On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctors told her that the reliability of the stress test is 67%. The test predicted that Erin will not have a heart attack. What is the probability after the test was taken that she will have a heart attack?0.4051
0.5010
0.4653
0.6632

Answers

The test predicted that Erin will not have a heart attack. The probability after the test was taken that she will have a heart attack is 0.4653. the rest of teh choices do not answer the question above.

Answer:

THERE CORRECT JUST FOR RESHORENCE

Step-by-step explanation:

PLEASE HELP !The graph shows the ages of different concertgoers who have backstage passes.

Which statement is true about the graph?

A) A late arrival who is 21 years old with a back-stage pass will make the mean greater than the median.
B) The two holders of back-stage passes whose ages are above 40 make the mean age higher than the median age.
C) The ages of concert-goers with backstage passes are skewed left, so the mean age is less than the median age.
D) A concert-goer who is 18 years old and wins a back-stage pass will pull the mean more than 2 years less than the median.

Answers

In the given graph, we calculate the mean by dividing the product of the midpoint of each age interval and the frequency by the total frequency. Mean = [13.5(3) + 16.5(6) + 19.5(8) + 22.5(6) + 25.5(5) + 28.5(4) + 31.5(3) + 43.5 + 46.5] / (3 + 6 + 8 + 6 + 5 + 4 + 3 + 1 + 1) = 856.5 / 37 = 23.15 The median is given by the middle age interval (i.e. the age interval which falls in the (37 + 1) / 2 = 38 / 2 = 19th position) which is the 21 - 24 age inteval. To get the value of the median we use the formular Median = L1 + C[n/2 - summation (Fl)] / Fm where: L1 is the lower class boundary of the median class, C is the class size, n is the total frequency, summation (Fl) is the summation of all frequencies below the mediam class and Fm is the median class frequency. Median = 21 + 4[37/2 - (3 + 6 + 8)] / 6 = 21 + 4[18.5 - 17] / 6 = 21 + 4(1.5) / 6 = 21 + 6 / 6 = 21 + 1 = 22. Thus the mean of 23.15 is greater than the median of 22. Calculating the mean without the two numbers above 40 gives Mean = (856.5 - 43.5 - 46.5) / 35 = 766.5 / 35 = 21.9 Therefore, the statement that is true about the graph is "The two holders of back-stage passes whose ages are above 40 make the mean age higher than the median age." (option B)

The two holders of back-stage passes whose ages are above 40 making the mean age higher than the median age is correct about the graph.

What is a Graph?

This can be defined as pictorial representation of data or values in an organized manner.

From the graph we can calculate mean.

Mean = [13.5(3) + 16.5(6) + 19.5(8) + 22.5(6) + 25.5(5) + 28.5(4) + 31.5(3) + 43.5 + 46.5] / (3 + 6 + 8 + 6 + 5 + 4 + 3 + 1 + 1)

= 856.5 / 37

= 23.15

Median = (37 + 1) / 2 = 38 / 2 = 19th position between 21 - 24 age interval. Median = L1 + C[n/2 - summation (Fl)] / Fm

where L1 = lower class boundary of the median class, C = class size, n = total frequency, summation (Fl) = summation of all frequencies below median class, Fm= median class frequency.

Median = 21 + 4[37/2 - (3 + 6 + 8)] / 6

= 21 + 4[18.5 - 17] / 6

= 21 + 4(1.5) / 6

= 21 + 6 / 6 = 21 + 1 = 22.

Mean of 23.15 is greater than the median of 22.

Mean without two numbers above 40

= (856.5 - 43.5 - 46.5) / 35 = 766.5 / 35 = 21.9.

Therefore the  two holders of back-stage passes whose ages are above 40 make the mean age higher than the median age which makes option B the most appropriate choice

Read more about Graph here brainly.com/question/25184007

Divide 42 in a ratio of 1:2:3

Answers

the ratio in which 42 should be divided is 1:2:3

the sum of the parts of the ratio is - 1 + 2 + 3 = 6

this means that there's a sum of 6 parts

so we need to find how much 1 part is equivalent to

if 6 parts are equivalent to 42

then 1 part is equivalent to - 42/6 = 7

so the ratio should be 1:2:3

1 part - 7

2 parts - 7 x 2 = 14

3 parts - 7 x 3 = 21

therefore 42 divided into 1:2:3 ratio is as follows

7 : 14 : 12
I guessed and check since it is a small number and found that 7+14+21 adds up 42 matching your ratio.
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1. Anne wants to join five pieces of paper together. She plans to use 3 rectangular pieces of the same size and 2 square pieces of the same size. The length of each rectangular piece is 3 1/2 feet. The width of each rectangular piece, w, is the same as the length of each square piece. The expression below can be used to find the total surface area of the five pieces of paper. Anne decides that the width, w, of the rectangular pieces should be 2 feet. What is the total surface area, in square feet, of all five pieces of paper?