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Romashka [77]
3 years ago
15

What is the y-intercept of the line -3 + 4y = 12

Mathematics
1 answer:
Zina [86]3 years ago
6 0
<span>-3 + 4y = 12

4y = 12+3

4y = 13

y = 13/4

So y-intercept is </span>13/4
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Pip, Angad and Nick share some sweets in the ratio 4:4:1. Pip gets 20 sweets. How many
Likurg_2 [28]

Answer:

45

Step-by-step explanation:

The 4 part of the ratio represents Pip's 20 sweets

Dividing 20 by 4 gives the value of one part of the ratio

20 ÷ 4 = 5 sweets ← value of 1 part of the ratio

Thus

Pip gets 20 sweets

Angad gets 20 sweets ( 4 parts of the ratio )

Nick gets 5 sweets ( 1 part of the ratio )

Total number of sweets = 20 + 20 + 5 = 45

7 0
3 years ago
10 You work at a factory that bottles honey The factory bottles S250 gallons of honey into cup size bottles on average a ay How
erma4kov [3.2K]

Answer:

The factory bottles <u>4000 cups of hone</u>y a day.

Step-by-step explanation:

1 gallon = 16 cups

250 gallons = 4000 cups

Hope this helps!

8 0
4 years ago
What is the probability that a data value in a normal distribution is between a
Vsevolod [243]
<h3>Answer:   choice A) 55.3%</h3>

====================================================

Explanation:

Use a Z table found in the back of your book to find that

P(Z < -0.41) = 0.3409

P(Z < 1.25) = 0.8944

So,

P(-0.41 < Z  < 1.25) = P(Z < 1.25) - P(Z < -0.41)

P(-0.41 < Z  < 1.25) = 0.8944 - 0.3409

P(-0.41 < Z  < 1.25) = 0.5535

Now convert this to a percentage by multiplying by 100, which is the same as moving the decimal point over 2 places

0.5535 ---> 55.35%

Round this to the nearest tenth of a percent. You could argue that 55.35% rounds to either 55.3% or 55.4% since that last digit is a 5. I'm going with 55.3% since 55.4% isn't listed as an answer choice. The table I used only lists approximate values, so there is likely some rounding error somewhere. When I used my TI83 (see image below) I got roughly 0.5534 which is fairly close to 0.5535. If you want to use your TI83 or TI84 calculator, then the normalcdf function can be found by pressing the yellow "2ND" button (top left corner) and then pressing the VARS key (3rd row from the top, just to the left of the CLEAR key).

6 0
4 years ago
a company has two packaging machines in a unit, each with a different daily capacity. the capacity of machine 1 is defined by th
Licemer1 [7]

The required function C (m ) which represents the combined capacity of the two machines is c(m) = 2m^2 + 104m + 1704

What are functions?

  • A connection between a collection of inputs and outputs is known as a function.

The given functions are:

f(m) = (m+40)^2 + 10 \\and\\g(m) = (m+12)^2 - 50

C(m) = f(m) + g(m)

Expanding the two square brackets in the following manner to calculate that sum:

f(m) = (m+40)^2 + 10 = m^2 + 80m + 1600 + 10 = m^2 + 80m + 1610\\g(m) = (m+12)^2 - 50 = m^2 + 24m + 144 - 50 = m^2 +24m + 94

f(m) + g(m) = 2m^2 + 104m + 1704

Therefore, function C (m ) which represents the combined capacity of the two machines is c(m) = 2m^2 + 104m + 1704

Learn more about functions here:

brainly.com/question/22340031

#SPJ4

5 0
1 year ago
My coin jar has 100 Pennies, 200 nickels, 300 dimes and 400 quarters in it. The coins have a value of…
Kobotan [32]
$1 = 100 pennies
$10 = 200 nickels
$30 = 300 dimes
$100 = 400 quarters

In total: $141, or Answer C
6 0
2 years ago
Read 2 more answers
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