MATHEMATICS HIGH SCHOOL

The z- score for a mark of 56 in a test with a mean of 60 and standard deviation of 8 is

Answers

Answer 1

Answer:

Answer:

z = - .5

Step-by-step explanation:

z = (x - μ)/ σ

z = 56 - 60/8 = -.5

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Differentiate the following functions s=4e^3t-e^-2.5 w.r.t.t
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On August 8, 1981, American Savings offered an insured tax-free account paying 23.24% compounded monthly. If you had invested $90,000 at that time, how much would you have on August 8, 2014, assuming that you could have locked the interest rate at the time of deposit? Someone please help me!!
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A contractor has 48 meters of fencing to use as the perimeter of a rectangular garden. The length of one side of the garden is represented by x, and the area of the garden is 108 square meters. Determine, algebraically, the dimensions of the garden in meters

A line has a gradient of 4 and passes through the post (1,7). what is the equation?

Answers

Answer:

The equation is y = 4x+3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x + b

Substitute the x and y value into the equation

7 = 4(1)+b

7 = 4+b

Subtract 4

7-4 =b

3=b

The equation is y = 4x+3

Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (1, 7) into the partial equation

7 = 4 + c ⇒ c = 7 - 4 = 3

y = 4x + 3 ← equation of line

you have 12 balloons to blow up for a party.You blow up 1/3 of them and your friend blows up five of them.What fraction of the balloons need to be blown up

Answers

Given:
12 balloons
1/3 I blew up
5 my friend blew up.

1/3 * 12 = 12/3 = 4
4 + 5 = 9 number of balloons blown up.

12 - 9 = 3 number of balloons that need to be blown up.

3/12 = 1/4 is the fraction of the balloons needed to be blown up.

Answer:

1/4

Step-by-step explanation:

If the time is 4:25 am what is the time that is 9 hours and 40 minutes before the time is shown

Answers

Count 9 hours back. 4:25am - 9 hours = 7:25pm.
Count 40 minutes back. 7:25pm - 40 minutes = 6:45pm.
Answer = 6:45pm

Convert 18/5 to a mixed number

Answers

your answer would be 3 an 3/5 :) hope i helped ! :D:D:D:D:D:D:D

To convert 18/5 to a mixed number all you have to do is divide 18 by five this would give you 3.6 all you have do do after that would be to change it back into a fraction.

sarah meeham blends coffee for tasti delight. she needs to prepare 160 pounds of blended coffee beans selling for $4.97 per pound. she plans to do this by blending together a high quality bean costing $6.00 per pound and a cheaper bean at $3.25 per pound. to the nearest pound, find how much high quality coffee bean and how much cheaper coffee bean she should blend

Answers

Given:
h = high quality bean ; costs 6 per pound
c = cheaper bean ; costs 3.25 per pound

160 pounds of blended coffee beans at 4.97 per pound

h + c = 160

6h + 3.25c = 160(4.97)
6h + 3.25c = 795.20

h = 160 - c

6(160-c) + 3.25c = 795.20
960 - 6c + 3.25c = 795.20
- 2.75c = 795.20 - 960
- 2.75c = -164.80
c = - 164.80 / -2.75
c = 59.92 or 60 pounds

h = 160 - c
h = 160 - 60
h = 100 pounds

Sarah must blend 100 pounds of high quality bean and 60 pounds of cheaper bean.

It takes Andre 4 minutes to swim 12 laps how many laps per minute