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Effectus [21]
3 years ago
13

Shiela either walks or cycles to school the probability that she walks is 0.65 if she walks the probability that she is late is

0.4 if she cycles the probability that she is late is 0.1 What is the probability that she will not be late for school
Mathematics
1 answer:
Serjik [45]3 years ago
3 0

Answer:

0.705

Step-by-step explanation:

Data:

walks=0.65 and is late=0.4;is not late=0.6

cycles=0.35 and is late=0.1;is not late=0.9

The probability of sheila walking and not being late:  

0.65 x 0.6=0.39  

AND probability of being not late and cycling:

0.35 x 0.9=0.315

therefore,the probability of sheila walking or cycling and still not being late:

0.39+0.315=0.705

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heather has a family phone plan. The monthly payment for each phone is 22.91 per month plus a monthly line fee of $20 per phone.
dmitriy555 [2]

Answer:

There are 4 Phones in the Family phone Plan.

Step-by-step explanation:

Given:

Monthly payment for each phone = \$22.91+\$20= \$42.91

Let the number of phones in the plan be x

cost of the family data plan per month = \$70

Total Monthly bill = \$241.64

Total Monthly bill = Monthly payment for each phone \timesnumber of phones in the plan + cost of the family data plan per month

∴ The equation becomes after substituting the value,

(42.91 \times x) + 70 = 241.64\\42.91x=241.64-70\\42.91x=171.64\\x= \frac{171.64}{42.91}\\x=4

∴There are 4 Phones in the Family phone Plan

4 0
3 years ago
How many solutions does 17.75x + 24 = 18.95x + 18 have?
iren2701 [21]

Answer: Simplifying

17.75x + 24 = 18.95x + 18

Reorder the terms:

24 + 17.75x = 18.95x + 18

Reorder the terms:

24 + 17.75x = 18 + 18.95x

Solving

24 + 17.75x = 18 + 18.95x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-18.95x' to each side of the equation.

24 + 17.75x + -18.95x = 18 + 18.95x + -18.95x

Combine like terms: 17.75x + -18.95x = -1.2x

24 + -1.2x = 18 + 18.95x + -18.95x

Combine like terms: 18.95x + -18.95x = 0.00

24 + -1.2x = 18 + 0.00

24 + -1.2x = 18

Add '-24' to each side of the equation.

24 + -24 + -1.2x = 18 + -24

Combine like terms: 24 + -24 = 0

0 + -1.2x = 18 + -24

-1.2x = 18 + -24

Combine like terms: 18 + -24 = -6

-1.2x = -6

Divide each side by '-1.2'.

x = 5

Simplifying

x = 5



Step-by-step explanation:

3 0
3 years ago
If m∠A = m∠B and m∠A + m∠C = ∠D, then m∠B + m∠C = ∠D Which property is shown?
Ad libitum [116K]

Answer:

Substitution Property

Step-by-step explanation:

So we know that:

m\angle A=m\angle B

And we also know that:

m\angle A+m\angle C=\angle D

And by using a specific property, we get that:

m\angle B+m\angle C=\angle D

Essentially, we <em>substituted</em> B for A.

So, this is an example of the substitution property, where if two sides/angles are congruent, we can substitute them for each other.

6 0
3 years ago
What's the volume of a cone with the base of 14ft?
Nostrana [21]

Answer:

volume =  \frac{1}{3} \pi {r}^{2} h \\ but \: h = 7 \tan(50 \degree)  \\ h = 8.34 \: ft \\ volume =  \frac{1}{3}  \times 3.146 \times  {(7)}^{2}  \times 8.34 \\ volume = 428.55 \: cubic \: ft

7 0
3 years ago
During practice, the Northwood football team drinks
elena-s [515]

Answer:

The third option (C) Yes, because there is enough water in the cooler for about 81 cups total.Step-by-step explanation:

5 0
3 years ago
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