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3 years ago

The line graph below shows the number of chocolate bars and ice lollies sold at a small shop over a year

Mathematics

1 answer:

AnnyKZ [126]3 years ago

8 0

Answer:

<em>The sales of ice lollies increased by 76 units between February and August</em>

Step-by-step explanation:

<u>Graph Reading</u>

Line graphs are visual ways of representing two or more data sets and their interrelation.

Graphs are pictures that show how one variable changes in relation to another.

Learning to properly read graphs is a matter of interpreting which pieces of information are useful.

The graph (in the red drawing) shows how sales of ice lollies changed in time. By February, the sales were about 4 units and by August sales were up to 80 units.

This means an increase of 80 - 4 = 76 units.

The sales of ice lollies increased by 76 units between February and August

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Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of al

padilas [110]

Answer:

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Step-by-step explanation:

We solve this question treating these probabilities as Venn sets.

I am going to say that:

Event A: Requesting automatic transmission

Event B: Requesting built-in GPS

90% of all buyers request automatic transmission

This means that $P(A) = 0.9$

82% of all buyers request built-in GPS

This means that $P(B) = 0.82$

77% of all buyers request both automatic transmission and built-in GPS.

This means that $P(A \cap B) = 0.77$

What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

This is $P(A \cup B)$ , which is given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95$

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

3 0

3 years ago

In a triangle the first angle is greater than the second angle by 18 degree and less than the third angle by 10 grade. Express a

serg [7]

Answer:

The 3 angles are 62 2/3, 44 2/.3 and 72 2/3 degrees.

Step-by-step explanation:

let x be the first angle then the the second angle is x - 18 and the third angle = x + 10

The 3 angles add up to 180 so:

x + x - 18 + x + 10 = 180

3x = 180 + 18 - 10 = 188

x = 188/3 = 62 2/3 degrees.

x - 18 = 44 2/3

x + 10 = 72 2/3.

8 0

3 years ago

Write an exponential function y = ab" whose graph passes through (2,12) and (5,96).

motikmotik

Answer:

y = 3 $(2)^{x}$

Step-by-step explanation:

Substitute the given points into the function and solve for a and b

Using (2, 12)

12 = ab² → (1)

Using (5, 96)

96 = a $b^{5}$ → (2)

Divide (2) by (1)

$\frac{ab^5}{ab^2}$ = $\frac{96}{12}$ , that is

b³ = 8 ( take the cube root of both sides )

b = $\sqrt[3]{8}$ = 2

Substitute b = 2 into (1) and solve for a

12 = a2² = 4a ( divide both sides by 4 )

3 = a

Thus

y = 3 $(2)^{x}$ ← is the exponential function

3 0

3 years ago

b. You have saved $15,000 for a down payment. What is the max you can spend (max house price)? (4 points)

In-s [12.5K]

Answer:

maybe like 5k

Step-by-step explanation:

6 0

2 years ago

PLEASE LOOK AT THE IMAGE. I’m despite. It’s probably easy.

Sloan [31]

Answer:

Correct answer: (x - 10)² + y² = 441 / 4

Step-by-step explanation:

Given:

(a, b) = (10, 0) the coordinates of the center of the circle

(10, 21/2) circle passing through this point

The standard form of the circle equation is:

(x - a)² + (y - b)² = r² where r is radius of the circle

We will replace the given coordinates of the center of the circle and the point it passes through to get the radius of the circle:

(10 - 10)² + (21/2)² = r² ⇒ r² = (21/2)² = 441 / 4

r² = 441 / 4

(x - 10)² + y² = 441 / 4

God is with you!!!

6 0

3 years ago