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kiruha [24]
2 years ago
14

Luke was given a gift card for a coffee shop. Each morning, Luke uses the card to buy one cup of coffee. The original amount of

money on the gift card was $30 and after buying 6 cups of coffee, the card had a $12 remaining balance. Write an equation for A,A, in terms of x,x, representing the amount money remaining on the card after buying xx cups of coffee
Mathematics
1 answer:
GaryK [48]2 years ago
3 0

Answer:

A= −3x+30

A=30 when x=0  which is the y−intercept.

(0,30) is a point on the graph

A=12 when x=6.

Find the slope using the two points

12-30/6-0= -18/6=-3

 

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What is the area of a rectangle with length 1/12 ft and width 3/4 ft
Mila [183]

Answer:

3/48 or reduced 1/16

Step-by-step explanation:

1/3 x 3/4 = 3/48

Reduced:

3/48 ÷ 3/3 = 1/16

Only put the reduced fraction if it asks.

Hope this helps :)

7 0
2 years ago
To support a shelf, the diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm. Whic
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Find min
min is 1.5-0.2=1.3cm

max is 0.2+1.5=1.7cm

so it would be a graph from 1.3cm to 1.7cm

like below

7 0
2 years ago
Read 2 more answers
Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches. What is
NNADVOKAT [17]

Answer:

The probability that the man is greater than 74 inches is 0.1587

Step-by-step explanation:

The required probability is found by evaluating the area under the corresponding distribution curve for the corresponding values

The standard normal variate factor (Z) is given by

Z=\frac{x-\bar {X}}{\sigma }

where

\bar{x} is mean of the data

\sigma is the standard deviation of the data

Thus corresponding to x = 74 the Z factor equals

Z=\frac{74-70}{4}=1

Using the standard normal distribution table corresponding to mean of 70 and deviation of 4 the area under the curve corresponding to Z = 1 equals

0.1587

6 0
2 years ago
Mike is preparing refreshments for a party. To make a smoothie, he will mix 3 1⁄2 quarts of strawberry puree with 2 pints of lem
Shkiper50 [21]
Let's convert all volumes into pint:

1 Quart  = 2 pints → 3.5 quart of strawberry = 2 x 3.5 = 7 pints Strawberry
1 Gallon = 8 pints →1.25 Ga. water = 1.25 x 8 = 10 pints Water
2 pints of limonade = 2 pints of limonade 

Add up all pints Total = 7+10+2 = 19 pints of smoothie

Or in quart 9.5

Or in Gal 2.375

7 0
2 years ago
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For a data set of weights​ (pounds) and highway fuel consumption amounts​ (mpg) of seven types of​ automobile, the linear correl
ololo11 [35]

Answer:

The​ P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is__3.5%___ which is___significant_(at α=0.05)_ so there _is_ sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.

Step-by-step explanation:

Correlation coefficient shows the relation between the <em>weights</em><em>​</em> and <em>highway fuel consumption amounts</em> of seven types of automobile.

P-value states <em>the significance</em> of this relationship. If the p-value is lower than a <em>significance level</em> (for example 0.05) then the relation is said to be significant.

5 0
2 years ago
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