Harvey is often late for work. He leaves home late 60% of the time, but then drives very fast. This gives him a 50% chance of getting to work on time. When Harvey leaves home on time, he drives so slowly that he is late 70% of the time. What is the probability that Harvey left home on time if he gets to work on time

Answers

Answer 1

Answer:

40%

Step-by-step explanation:


Related Questions

Help.. please.. I have no idea how to do this..

Answers

X = 116 degrees
The sum of the three angles in a triangle add up to 180 degrees
Add up the two known angles
32 + 32 = 64
Subtract that from the total measure
180-64 = 116
Since 116 and x are vertical angles, they are congruent, making x equal to 116

Can someone explain this to me?

Answers

Answer:

#2. 6x3.14=1080 which is more than 18

The probability that a plant produces two or more seeds is 0.20. A sample of five plants is observed. What is the probability that at least three plants produce two or more seeds?

Answers

7.23%
hope this helps you

The probability that at least three plants produce two or more seeds is 0.793915.

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

The probability that out of n trials, there be x successes is given by

Use binomial distribution, with p =0.20, n=5, x=3

[tex]P(X=x)=C(n,x)p^x (1-p)^{n-x}[/tex]

P(X> = 3)

[tex]=1-(P(X=0)+P(X=1)+P(X= 5 ))\\=1-(C(20,0)0.2^0 (0.8)^{20-0}+C(20,1)0.2^1 (0.8)^{20-1}+C(20,2)0.2^2 (0.8)^{20-2})[/tex]

=1-(0.0115292+0.057646+0.136909)

=1-0.206085

=0.793915

Hence, the probability that at least three plants produce two or more seeds is 0.793915.

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For positive acute angles A and B it is known that tan A 15/8 and Cos B 12/37 find the value of Cos (A+b) being in simplest form

Answers

Answer:

Step-by-step explanation:

Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)

Find The Hypotenuse of A

Tan(A) = Opposite / Adjacent

Tan(A) = 15/8

Opposite = 15

Adjacent = 8

Hypotenuse = c

c^2 = opposite^2 + Adjacent^2

c^2 = 15^2 + 8^2

c^2 = 225 + 64

c^2 = 289

sqrt(c^2) = sqrt(289)

c = 17

Find the opposite of B

Adjacent = 12

Hypotenuse = 37

Opposite = b

adjacent^2 + opposite^2 = hypotenuse^2

12^2 + b^2 = 37^2

144 + b^2 = 1369

b^2 = 1369 - 144

b^2 = 1335

b = 35

Definitions

Sin(A) = Opposite / hypotenuse = 15/17

Sin(B) = opposite / hypotenuse =  35/37

Cos(A) = 8/17

Cos(B) = 12/37

Answer

Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)

Cos(A + B) = 8/17 * 12/37 - 15/17*35/37

Cos(A + B) = 96/629 - 525/629

Cos(A + B) = -429/629

Given f(x) = 3x2 + x and g(x) = 2x. What is Limit of g (f (x)) as x approaches negative 4?

44
88
104
188

Answers

Answer: 88

Step-by-step explanation:

got it right 2022 edge

Given a box of 8 color crayons (Red, Blue, Green, Orange, Yellow, Brown, Black, Purple). If I remove a single crayon randomly, and without putting it back in the box, I remove a second crayon randomly, what is the probability that I will remove the Red and the Green crayon from the box

Answers

Answer: 1/56

Step-by-step explanation:

Since the box has 8 different colors, the probability of picking any color of crayon will be 1/8.

This question relates to a probability without replacement, therefore, the probability of picking the red crayon first will be 1/8. After then, there'll be 7 crayons left and the probability of picking the green crayon next will be 1/7.

Therefore, the probability that I will remove the Red and the Green crayon from the box will be:

= 1/8 × 1/7

= 1/56

Enter the coordinates of the vertex of the graph of y = 2(x + 5)2 − 4.

Vertex: (
,
)

Answers

9514 1404 393

Answer:

  (-5, -4)

Step-by-step explanation:

Compare the given equation to vertex form:

  y = a(x -h)² +k

You see that a=2, h=-5, k=-4.

The vertex is (h, k) = (-5, -4).

Joey wants to read 2,000 pages by the end of the summer. He has already read 1,250 pages. The rest of his reading will be spread over 5 weeks, and Joey wants to read the same number of pages each week. How many pages will he need to read each week?

Answers

Answer:

150 pages

Step-by-step explanation:

want to read 2,000 pages

already read 1,250 pages

Number of pages left to read

= 2000-1250

= 750

Rest of the reading spread over 5 weeks

wants to read same number of pages each week

Number of pages that need to be read each week over 5 weeks

= Number of pages left to read / total number of weeks

=750 / 5

= 150

He will need to read 150 pages a week.

What is the result when the number 79 is decreased by 17%?

Answers

Answer:

65.57 should be the correct answer!

Step-by-step explanation:

Here is the whole work I did, hope this helps!

100 - 17 = 83

79 x 0.83 = 65.57

Answer:

65.57

Step-by-step explanation:

Method 1:

[tex]\frac{y}{79} :\frac{17}{100}[/tex]

y · 100 = 17 · 79

100y = 1343

100y ÷ 100 = 1343 ÷ 100

y = 13.43

79 - 13.43

65.57

Method 2:

100% - 17% = 83%

[tex]\frac{y}{79} :\frac{83}{100}[/tex]

y · 100 = 83 · 79

100y = 6557

100y ÷ 100 = 6557 ÷ 100

y = 65.57

The pie chart above shows the percentage of land in Rhode Island split up among the different counties. If Rhode Island has a total of 1,045 square miles of land, how many
square miles does Kent County have?

Answers

[tex] \huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Total land area of Rhode Island is :

[tex] \longmapsto\mathrm{1045 \: \: mi {}^{2} }[/tex]

And from the above pie chart, we can conclude that Kent County comprises 16% of total land area of Rhode Island, that is :

[tex]\longrightarrow \dfrac{16}{100} \times 1045[/tex]

[tex]\longrightarrow \dfrac{16720}{100} [/tex]

[tex]\longrightarrow167.2 \: \: mi {}^{2} [/tex]

Therefore, Total land area of Kent County :

[tex] \boxed{ \large{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 167.2 \: \: \: mi {}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

A van travels 150 miles on 6 gallons of gas. How many gallons will it need to travel 325 miles?

A.12 gallons
B.2.8 gallons
C.13 gallons
D.25 gallons

plss help no link im giving brainless i need it Asap​

Answers

Answer:

C. 13 gallons

Step-by-step explanation:

150 divided by 6 is 25. 325 divided by 25 is 13.

To travel 325 miles the van needs C. 13 gallons of gas.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A van travels 150 miles on 6 gallons of gas.

So, In one gallon the van travels (150/6) = 25 miles.

∴ To travel 325 miles the van needs (325/25) = 13 gallons of gas.

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The ratio of softballs to teams is 26:2. How many softballs would 8 teams have?

Answers

Answer:

104 softballs

Step-by-step explanation:

26 x 4 = 104

1.6(5x-10)-(12x+15) I WILL AWORD BRILLNESTTTT

Answers

Answer:

-4x-31

Step-by-step explanation:

1.6(5x-10)-(12x+15)

8x-16-12x-15

-4x-31

The simplified expression is -4x - 31.

We know,

In mathematics, an expression refers to a combination of numbers, variables, operations, and mathematical symbols that represents a mathematical statement or computation. It can involve arithmetic operations (addition, subtraction, multiplication, division).

We have Equation,

1.6(5x - 10) - (12x + 15)

Now simplifying the equation

1.6(5x - 10) - (12x + 15)

= 8x - 16 - 12x - 15

= -4x - 31

Thus, the simplified expression is -4x - 31.

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Find the missing measure for a right circular cone given the following information.
Find h if r = 5 and V = 100 pi.
4
12
30

Answers

Answer:

[tex]Volume = \frac{1}{3} \pi r^2 h \\\\r= 5\\Volume = 100\pi\\\\Find \ h.\\\\h = 3\frac{V}{\pi r^2} = 3 \times \frac{100 \pi}{\pi \times 5^2} = 3\times \frac{100}{25} = 3 \times 4 = 12[/tex]

What is the equation of the graph
-2
y = 1x + 1
O y = 1x-2
y = 2x - 2
O y = 2x + 1

Answers

9514 1404 393

Answer:

  the correct choice is marked

Step-by-step explanation:

The line has a rise of 2 for a run of 1, so a slope of 2. The line crosses the y-axis at y=-2, so the y-intercept is -2. The slope-intercept equation for the line is ...

  y = mx + b . . . . . . for slope m and y-intercept b

  y = 2x -2

Answer:

the answer is c y=2x-2

Step-by-step explanation:

:)

i need a box with a square base and an open top that cna hold 500 in^3. what is the least amount of material i can use to build this box

Answers

Answer:

M(x)  =  452,56 in

Step-by-step explanation:

The volume of the open box is  500 in³

V = Area of the base times height

V(b) =  x² * h               where x is the side of the square and h the heigh

Then     500 =  x²*h

Total material to use is: material of the base + material of 4 sides

material of the base is  x²

material of one side is x*h  we have 4 sides then  4*x*h

Total material M(b)

M(b)  =  x²  +  4*x*h

And    as    h  =  500/ x²

M(x)  =  x²  +  4* x* 500/x²

M(x)  =  x²  +  2000/x

Tacking derivatives on both sides of the equation

M´(x)  =  2*x   - 200/x²

M´(x)  =  0         2*x  -  200/x²  = 0

x³ -  100  =  0

x³   =  100

x   =  4,64 in

And By substitution     h  =  500/x²

h  =  500/(4,64)²           h  =  23,22  in

How do we know that x = 4,64 make V(x) minimum

we get the second derivative

M´´(x)  =  2  +  200*2x/ x⁴    =  2  +  400/x³

M´´(x) is always positive

M´´(x) > 0     then M(x) has a minimum for  x= 4,64 in

The least amount of material is:

M(x)  =  x²    +    2000/x

M(x)  =  (4,64)²  *  2000/4,64

M(x)  = 21,53  +  431,03

M(x)  =  452,56 in

Consider the following functions which map Rn to Rn.
(a) T multiplies the jth component of~x by a nonzero number b.
(b) T replaces the ith component of~x with b times the jth component added to the ith component.
(c) T switches the ith and jth components.
Show these functions are linear transformations and describe their matrices A such that T (~x).

Answers

Answer: c

Step-by-step explanation:

Which raises can be represented by algebraic expression 2x + 1 check all that apply

Answers

Answer:

two times a number plus 1

Step-by-step explanation:

Which of the following is equal to 2?
6 + 4 = (2 + 1) * 3
(6 + 4 + 2) - 13
6 + (4 + 2) + 1 x 3
(6 + 4) - 2 - 1 x 3

Answers

I think second is answer

Answer:

no equation is equal to 2 all are greater than 2

1. When three boys jumped on a weighing scale together, it read 200 kilograms One boy stepped off and it showed 142 kilograms One more jupmed off and it showed 72 kilograms What was each boys weight? (explain pls)

Answers

Answer:

58kg, 70kg and 72kg

Step-by-step explanation:

Starting weight was 200.

Boy 1- Changed from 200 to 142. 200kg - 142kg= 58 kg

Boy 2- Changed from 142 to 72.  142kg- 72kg = 70kg

Boy 3- Last one on the scale and it showed 72kg so his weight is 72kg

Answer:

58, 70, 72

Step-by-step explanation:

200-142=58

142-72=70

A certain town has 25,000 families. The average number of children per family is 2.6, with an SD of 0.80. The distribution is not normal, however, since 20% of the families have no children at all. (a) If one draws a simple random sample of five families from the 25,000, what is the chance that exactly two of the five sample families will have no children

Answers

Answer:

0.2048 = 20.48% probability that exactly two of the five sample families will have no children.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have no children, or they do have children. The probability of a family not having children is independent of any other family. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of the families have no children at all.

This means that [tex]p = 0.2[/tex]

Five families:

This means that [tex]n = 5[/tex]

What is the chance that exactly two of the five sample families will have no children?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.2)^{2}.(0.8)^{3} = 0.2048[/tex]

0.2048 = 20.48% probability that exactly two of the five sample families will have no children.

what is the percentile rank of 45 in the following length
24, 27, 27, 32, 34, 35, 35, 37, 38,41, 42, 44, 45, 45, 48, 49, 50, 52, 52

Answers

Answer:

63%.

Step-by-step explanation:

There are 12 scores below 45 and total number of scores = 19.

So percentile rank= (12/19) * 100

=  63%.

Which expression is equivalent to (1/16)^-4
Pls help 30 points timed

Answers

The first one! It is using the distributive or associative property!

What the correct answer

Answers

Its ‘B’

100% sure

Plz mark me brainliest

What is one effect of World Bank loans to developing countries?

Answers

One example is they help them develop projects

Answer:

Improved climate for foreign investment

Step-by-step explanation:

I just took the test gs

A manufacturing facility is responsible for producing two components that are produced at states 1 (poor), 2 (below average), 3 (average), 4 (good), and 5 (excellent). For the final product (con- sisting of both components) to be acceptable the sum of the two states needs to be at least equal to 6. At the moment, the manufacturing processes are random, and hence each component is equally likely to be at any of the 5 states. Answer the following questions.

Required:
a. What is the probability that a final product is acceptable? What is the probability that a final product is unacceptable?
b. What is the probability that a final product is acceptable given that the first component is produced at a state of 2?
c. What is the probability that the second component was produced at a state of 3 given that the final product is acceptable?

Answers

Answer:

a) i) P( final product is acceptable ) = 3/5

   ii) P ( final product not acceptable ) =  2/5

B)  P (  final product is acceptable | X =2 ) = 2/5

C)  P ( Y = 3 | Final product is acceptable ) = 2/5

Step-by-step explanation:

Given data :

5 states : 1 (poor), 2 (below average), 3 (average), 4 (good), and 5 (excellent)

Number of components produced = 2

X ( component 1 ) ∴ P(X) = 1/5

Y ( component 2 ) ∴ P(Y) = 1/5

Aim : Sum of Final product needs to be ≥ 6

A) Probability of a final product been acceptable and also unacceptable

P( final product is acceptable ) ; P(X + Y ≥ 6 )

= 1/5 ∑ P( Y ≥ 6 - x )

= 1/5 ( P( Y ≥ 5 ) + P( Y ≥ 4 ) + P( Y ≥ 3 ) + P( Y ≥ 2 ) + P( Y ≥ 1 )

= 1/5 ( 1/5 + 2/5 + 3/5 +4/5 + 1 )

= 3/5

P ( final product not acceptable ) = 1 - 3/5 = 2/5

B) P (  final product is acceptable | X =2 )

 ∴ P ( Y ≥ 4 )

   = 2/5

C) P ( Y = 3 | Final product is acceptable )

∴ P ( X ≥ 3 ) ≠ P( Y ≥ 3 )  ( because they are not independent )

  = 1 - 3/5 = 2/5.

65 ppl are at a movie and if 40% of them purchase sodas, how many ppl is this that have a soda?

Answers

Answer:

26

Step-by-step explanation:

Can someone please help me with this fast?

Answers

Answer:

65*

Step-by-step explanation:

12x-7+16x+19=180

28x=168

x=6

12(6)-7=65

56+ ? +11=94
Help me

Answers

Answer:

? = 27

Step-by-step explanation:

56 + ? + 11 = 94

? + 67 = 94

? = 27

hiii please help

a- each person who takes a drink from the cooler drinks approximately ately 24 oz of water

b- the water cooler started off with 648 oz of drink in it

c- there are 24 people who take a drink from the cooler

d- each of the 24 who take a drinks from the cooler drinks 1oz

Answers

i think the answer is C
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