Evaluate the expression 5* – 31 for = 2.<br> Help pls!

egoroff_w [7]

Answer:

10 5/6

Step-by-step explanation:

First we have to make 2 1/6 into an improper fraction. This can be rewritten as 13/6. Now, we can multiply 13 by 5 and get 65/6. If we re-convert this into a mixed number, 6 goes into 65 10 times with a remainder of 5, so the final answer is 10 5/6.

4 0

3 years ago

Solve for pizza in the pie chart!

solniwko [45]

Answer:

24

Step-by-step explanation:

30% of the pie chart is pizza. 30% of 80 = 0.3 * 80 = 24

6 0

2 years ago

Read 2 more answers

DO NOW

klasskru [66]

Answer:

slope is the rate at which a function progresses. y intercept a point that passes through they x axis when it is 0. ex) (0,9)

equation written as y=ax +b

b = y intercept

ax = slope

ax = y2-y1/x2-x1

take 2 random points

(0,3) (-2,0)

slope : 0-3/-2=0 = -3/-2 = 3/2

y intercept = 3 because x = 0 and y =3

<u>equation = y =3/2x + 3</u>

Step-by-step explanation:

3 0

3 years ago

Erik rides his motorbike 26 2/3 miles in 2/3 hour. What is Erik’s average speed in miles per hour?

frosja888 [35]

26 2/3 is equal to 80/3

80dividedby2/3 is

40/3

so its

13 1/3 miles per hour on average

6 0

2 years ago

Abby, Billy and Cathy fire one shot each at a target. The probability that Abby will hit the target is 1/5. The probability that

Tems11 [23]

Answer:

1. 0.0167

2. 0.2

3. 0.6

Step-by-step explanation:

Probabilities on Independent Events

If A and B are independent events (the occurrence of A doesn't affect the occurrence of B and vice-versa), then the probability that both events occur is

$\displaystyle P(A\bigcap B)= \ P(A).P(B)$

Being P(A) and P(B) the individual probability of each independent event

The probability that A does not occur is

$\displaystyle P(\bar{A})=1-P(A)$

The probability that B does not occur is

$\displaystyle P(\bar{B})=1-P(B)$

The probability that C does not occur is

$\displaystyle P(\bar{C})=1-P(C)$

We have 3 independent events. We know that because they fire together, no mutual affectation can happen

.

The probability that Abby will hit the target is 1/5.

$\displaystyle P(A)=\frac{1}{5}$

The probability that Billy will hit the target is 1/4.

$\displaystyle P(B)=\frac{1}{4}$

The probability that Cathy will hit the target is 1/3

$\displaystyle P(C)=\frac{1}{3}$

Part 1.

The probability that all three shots hit the target is

$\displaystyle P(A\bigcap B\bigcap C)=\frac{1}{5}.\frac{1}{4}.\frac{1}{3}$

$\displaystyle P(A\bigcap B\bigcap C)=\frac{1}{60}$

The probability that all three shots hit the target is

$\displaystyle P= \frac{1}{60}=0.0167$

Part 2.

The probability that only Cathy's shot hits the target is computed assuming Abby and Billy won't succeed

.

$\displaystyle P(\bar{A}\bigcap \bar{B}\bigcap C)=P(\bar{A})\ P(\bar{B})\ P(C)=(1-\frac{1}{5})\ (1-\frac{1}{4})\ (\frac{1}{3})=\frac{4}{5}.\frac{3}{4}.\frac{1}{3}=\frac{1}{5}=0.2$

3.

The probability that at least one shot hits the target is when one of them succeeds, two of them succed or all of them succeed

$\displaystyle P(A\bigcap \bar{B}\bigcap \bar{C})+P(\bar{A}\bigcap {B}\bigcap \bar{C})+P(\bar{A}\bigcap\bar{B}\bigcap C)+P(A\bigcap B\bigcap \bar{C})+P(A\bigcap \bar{B}\bigcap C)+P(\bar{A}\bigcap B\bigcap C)+P(A\bigcap B\bigcap C)$

But it's easier to find the negated probability of the above, i.e. we compute the probability that NO ONE hits the target and subtract it from 1

$\displaystyle P=1-P(\bar{A}\bigcap \bar{B}\bigcap \bar{C})$

$P=1 -(1-\frac{1}{5})(1-\frac{1}{4})(1-\frac{1}{3})=1-\frac{4}{5}.\frac{3}{4}.\frac{2}{3}=1-\frac{2}{5}=\frac{3}{5}$

P=0.6

6 0

3 years ago

Evaluate the expression 5* – 31 for = 2. Help pls!