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9 months ago

Write the slope-intercept form of the equation of the line through the given point with the given

Mathematics

1 answer:

kupik [55]9 months ago

8 0

Answer: y=-1/2x+1

Step-by-step explanation: plug in numbers to find y intercept (b).

-1=-1/2(4)+b

-1=-2+b

b=1

y=-1/2x+1

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Write a pair of integers whose sum is- -8

Vlad [161]

Answer:

-3+(-5)

Checking our answer:

Adding this does indeed give -8

6 0

3 years ago

At Cindy's birthday each guest will get one-third of a medium sized pizza. There will be 12 people at the party, including Cindy

tiny-mole [99]

Answer: 4 pizzas

Step-by-step explanation:

There are to be 12 people at the party.

Each person is expected to take 1/3 of a pizza.

The total number of pizza needed is therefore:

= No. of people * quantity of pizza

= 12 * 1/3

= 4 pizzas

<em>Note: Answer would be 6 if each guest wanted 1/2 of a pizza. </em>

3 0

2 years ago

Lizzie rolls two dice. What is the probability that the sum of the dice is:

zhenek [66]

Answer:

$A.\ \dfrac{1}{3}\\B.\ \dfrac{5}{12}\\C.\ \dfrac{7}{36}\\$

Step-by-step explanation:

Total outcomes possible: 36

A. Divisible by 3

Possible options are:

3, 6, 9 and 12.

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Possible outcomes for 9 are: {(3,6), (4,5), (5,4),(6,3)} Count 4

Possible outcomes for 12 are: {(6,6)} Count 1

Total count = 2 + 5 + 4 + 1 = 12

Probability of an event E can be formulated as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(A) = \dfrac{12}{36} = \dfrac{1}{3}$

B. Less than 7:

Possible sum can be 2, 3, 4, 5, 6

Possible cases for sum 2: {(1,1)} Count 1

Possible cases for sum 3: {(1,2), (2,1)} Count 2

Possible cases for sum 4: {(1,3), (3,1), (2,2)} Count 3

Possible cases for sum 5: {(1,4), (2,3), (3,2),(4,1)} Count 4

Possible cases for sum 6: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Total count = 1 + 2 + 3 + 4 + 5 = 15

$P(B) = \dfrac{15}{36} = \dfrac{5}{12}$

C. Divisible by 3 and less than 7:

$P(A \cap B) = \dfrac{n(A\cap B)}{\text{Total Possible outcomes}}$

Here, common cases are:

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

$P(A \cap B) = \dfrac{7}{\text{36}}$

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bp%7D%7B5%7D" id="TexFormula1" title="\frac{p}{5}" alt="\frac{p}{5}" align="absmiddle

tatyana61 [14]

Answer:

p ≥ -10

Step-by-step explanation:

first, subtract one from each side to get:

p/5 ≥ -2

lastly, multiply each side by 5

p ≥ -10

6 0

2 years ago

Write this number in scientific notation 0.000000358

Fittoniya [83]

Step-by-step explanation:

0.000000358 written as scientific notation is

$3.58 \times {10}^{ - 7}$

8 0

3 years ago