Grace drove 28 1/2 miles . She used 1 1/4 gallons of gasoline . What is the unit rate for miles per gallon

Answer:

0.4224 = 42.24% probability he will find an expired meter BEFORE the 3rd one

Step-by-step explanation:

For each car, there is a 24% probability that it had expired parking meters.

What is the probability he will find an expired meter BEFORE the 3rd one?

Three possible outcomes:

Two expired(each with 24% probability)

First expired(24% probability) and second not(76% probability)

First not(76% probability) and second expired(24% probability). So

[tex]p = 0.24^2 + 2*0.24*0.76 = 0.4224[/tex]

0.4224 = 42.24% probability he will find an expired meter BEFORE the 3rd one

Answer:

m = 105 / 5 = 21

Step-by-step explanation:

Answer:

A share of ABC stock was worth $60 in 2005 and only worth $45 in 2010. ... diftolence b. Write an exponential function that ...

Answer:

81

Step-by-step explanation:

all sides are equal if square 9 x 9 = 81

Answer:

81m^2

Step-by-step explanation:

Area = length × height

Answer:

1. 40

2. -25

Step-by-step explanation:

I'm sure this is the answer

Answer:

209 robberies

Step-by-step explanation:

Robberies last year =348

Robberies has reduced by 40% which means there are (100-40)% = 60% robberies this year.

Number of robberies this year= 60% of 348 = 60/100 × 348 = 208.8

To the nearest whole number = 209

There are 209 robberies this year.

I hope this help.  

Answer:

a) 0.9197 = 91.97% probability that a 100-foor roll has at most 2 flaws.

b) 0.1074 = 10.74% probability that there are exactly 3 rolls that have no flaws in them.

c) 0.0394 = 3.94% probability that the 15th roll he inspected was the 3rd one that have no flaws in it.

Step-by-step explanation:

To solve this question, we need to understand the Poisson and the Binomial distribution.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

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.

(a) Find the probability that a 100-foor roll has at most 2 flaws.

A certain type of aluminum screen has, an average, one flaw in a 100-foot roll, which means that [tex]\mu = 1[/tex]. Only one roll means that the Poisson distribution is used.

This is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1}*1^{0}}{(0)!} = 0.3679[/tex]

[tex]P(X = 1) = \frac{e^{-1}*1^{1}}{(1)!} = 0.3679[/tex]

[tex]P(X = 2) = \frac{e^{-1}*1^{2}}{(2)!} = 0.1839[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.3679 + 0.3679 + 0.1839 = 0.9197[/tex]

0.9197 = 91.97% probability that a 100-foor roll has at most 2 flaws.

(b) Suppose that I bought 10 200-foot rolls, find the probability that there are exactly 3 rolls that have no flaws in them.

Two parts.

Probability that a single 200-foot roll has no flaw.

This is [tex]P(X = 0)[/tex], Poisson(single 200-foot roll) when [tex]\mu = \frac{200*1}{100} = 2[/tex]. So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]

0.1353 probability that a single 200-foot roll has no flaw.

Probability that on 10 200-foot rolls, 3 have no flaws.

Multiple 200-foot rolls means that we use the binomial distribution.

0.1353 probability that a single 200-foot roll has no flaw means that [tex]p = 0.1353[/tex]

10 200-foot rolls means that [tex]n = 10[/tex]

We want [tex]P(X = 3)[/tex]. So

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

[tex]P(X = 3) = C_{10,3}.(0.1353)^{3}.(0.8647)^{7} = 0.1074[/tex]

0.1074 = 10.74% probability that there are exactly 3 rolls that have no flaws in them.

(c) What is the probability that the 15th roll he inspected was the 3rd one that have no flaws in it.

0.1353 probability that a single 200-foot roll has no flaw means that [tex]p = 0.1353[/tex]

2 with flaws in the first 14, which is [tex]P(X = 2)[/tex] when [tex]n = 14[/tex]

The 15th has no flaw, with probability of 0.1353. So

[tex]P = 0.1353*P(X = 2) = 0.1353*(C_{14,2}.(0.1353)^{2}.(0.8647)^{12}) = 0.1353*0.2911 = 0.0394[/tex]

0.0394 = 3.94% probability that the 15th roll he inspected was the 3rd one that have no flaws in it

Answer:

[tex]105km[/tex]

Step-by-step explanation:

It is given that; ([tex]2.5cm : 15km[/tex]) is the proportion by which distances are scaled down on a map. One can use this to make a proportion and solve to find how many ([tex]km[/tex]) would represent ([tex]17.5cm[/tex]). ([tex]x[/tex]) will represent the unknown or the number of ([tex]km[/tex]) that one has to solve for.

[tex]2.5 : 15 = 17.5 : x[/tex]

Cross products,

[tex]262.5 = 2.5x[/tex]

Inverse operations,

[tex]262.5 = 2.5x\\/2.5\\\\105 = x[/tex]

Answer:

[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]

Step-by-step explanation:

Given

[tex]3\sqrt{6x^2[/tex]

Required

Express as a radical

Split

[tex]3\sqrt{6x^2} = 3\sqrt{6} * \sqrt{x^2[/tex]

[tex]\sqrt{x^2} = x[/tex]

So:

[tex]3\sqrt{6x^2} = 3\sqrt{6} * x[/tex]

This gives:

[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]

Answer: for number 1 its negative 14

Step-by-step explanation:

Answer:

probably 66, because if m<CDA = 66 then so does m<BCD because they're both the same lengths

Answer:

5 people

Step-by-step explanation:

40/7=5.71

Thats not enough for 6 people so you go down to 5 people, you can't have 5.71 of someone

Answer:

C and D.

Step-by-step explanation:

C is ( 1 , 1 ) and D is ( -2.5 , -1.5 )

Answer:

the second is correct

Step-by-step explanation:

choose as brainliest

Answer:

2nd option ,

A is correct, B is incorrect, C is correct

Answer:

y = 1/2x - 4

Step-by-step explanation:

The x-intercept is when y = 0, so it would be:

-x  + 2 * 0 = 4

-x = 4

x = -4

That means the x-intercept is (0, -4)

The parallel line would have the same slope as this one, so:

[tex]-x+2y = 4\\2y = x + 4\\y = 1/2x + 2[/tex]

The parallel line has a slope of 1/2

So now you need to find the equation of a line that has a slope of 1/2 and passes through the point (0, -4)

Put it in point slope form:

y - (-4) = 1/2(x - 0)

y + 4 = 1/2x

y = 1/2x - 4

Answer:

532.79yards²

Step-by-step explanation:

Surface area of a pyramid = A + 1/Ph

A is the base area

P is the perimeter of the base

h is the height of the pyramid

Given the following

Height of triangular base = 17.3yards

Base of the triangle = 20yards

Height of prism = 12yards

Base Area = 1/2 × 20×17.3

Base Area = 10×17.3

Base Area = 173yd²

For the Perimeter P

Get the slant height using Pythagoras theorem

s² = (20/2)²+17.3²

s² = 10²+17.3²

s² = 100+299.29

s² = 399.29

s = √399.29

s = 19.98

Perimeter = 19.98+19.98+20

Perimeter = 59.96yards

Substitute

Surface Area = 173+1/2((59.96)(12)

Surface Area = 173+6(59.96)

Surface Area = 173+359.79

Surface Area = 532.79yards²

Answer: I will go with A  or you can choose d if you want

Step-by-step explanation:

Answer im not in grade

Step-by-step explanation:

Answer:

.375 which is 3/8

Step-by-step explanation: If you meant the mixed fraction 2 1/4 divided by 6 then that is the answer! 2 1/4 =2.25 and divide it by 6 and you get 0.375

Answer:

3/8

Step-by-step explanation:

convert mixed numbers to improper fractions

21/4 = 9/4

convert element to fraction

6=6/1

9/4 divided by 6/1

apply the fraction rule (hope you're familiar)

9/4 * 1/6

cross- cancel common factor 3

3*1 = 3

4*2 = 8

multiply the numbers

3/ 4*2

3/8

Answer:

132x+44

Step-by-step explanation:

(1+3x)(44)

=(1+3x)(44)

=(1)(44)+(3x)(44)

=44+132x

=132x+44

Answer: b. 8

Step-by-step explanation: I don’t have work

The radius of the circle in inches should be considered as the 8 when the measurement of the central angle is given.

Since

The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees.

Also we know that

Area of the sector = [tex]65 / 360 *[/tex] Area of circle

[tex]104\pi \div 9 = 65\div 360 (\pi r^2)\\\\104\div 9 = 65\div 360 r^2\\\\[/tex]

r = 8

Hence, The radius of the circle in inches should be considered as the 8.

Learn more about circle here: https://brainly.com/question/15593101

Answer:

118

Step-by-step explanation:

118.385

  |

ones place

Answer:

118

Step-by-step explanation:

118.385

5 rounds 8 to 9

9 rounds 3 to 4

4 isnt 5 or above so 4 makes 8 stay the same

Answer:

3/4 of an hour

Step-by-step explanation:

the longest is 1 hour. the shortest is 1/4 of an hour. 1 minus 1/4 is 3/4

Answer:

because,

we know Formula for finding Area of Trapizm.

That is,

1/2 × Sum of length of parallel sides × Height.

Here, we have 2 congruent Trapizm.

so,

Lengths of parallel sides = 16 and 20.

16 + 20 = 36.

Height = 7 cm.

Using Formula.

1/2 × 36 × 7

18 × 7

126 cm²

Here, we have two Trapizm...

so that..

126 × 2 = 252cm².

Answer:

252cm².

Step-by-step explanation:

I took the test

Answer:

Step-by-step explanation:

log(2x + 6) +8 = 3

Solve this log equation for x

First subtract 8 from both sides

log(2x+6)= -5

Now we convert it into exponential form

If log(x) = a then 10^a = x

log(2x+6)= -5 becomes

subtract 6 from both sides

Now we divide by 2 on both sides

x= -3 approximately

Step-by-step explanation:

Distance = positive value

a + a = 2a

Answer:

I think its 0

Step-by-step explanation:

becuase if you add the same number but on is negative and the other is positve it is always a 0.

Example:

10 + (-10) = 0