7. You just landed back in Michigan at the airport, but cannot remember where you
parked your car. There are 8 letter sections (A, B, C, D, E, F, G, H) and each
section is labeled 1-22 in the lot. Find the probability that you correctly guess
the letter section and then guess the correct number section where your car is
located. Write your answer as a percentage rounded to the hundredth.

Answers

Answer 1

The probability that you correctly guess the letter section and then guess the correct number section where your car is located is 0.01.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Total possible outcomes.

= 8 x 22

= 176

Now,

Probability of guessing the correct letter.

= [tex]^8C_1[/tex] / 176

Probability of guessing the correct section.

= [tex]^{22}C_1[/tex] / 176


The probability that you correctly guess the letter section and then guess the correct number section.

= [tex]^8C_1 \times ^{22}C_1[/tex] / 176 x 176

= 8 x 22 / 176 x 176

=  1 / 176

= 0 .005

= 0.01

Thus,

The probability that you correctly guess where your car is located is 0.01.

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Related Questions

HIJK is a square and KI = 6√2. Find HI

Answers

The length of HI will be;

⇒ 6 units.

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

HIJK is a square.

The length of KI = 6√2

Now,

Since, HIJK is a square.

Hence, There are all sides are equal.

Let the side of square = x

So, By Pythagoras theorem, we get;

⇒ KI² = HI² + HK²

Substitute the given values, we get;

⇒ (6√2)² = x² + x²

⇒ 72 = 2x²

⇒ x² = 36

⇒ x = √ 36

⇒ x = 6

Thus, The length of HI = 6 units

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Which equation best models relationship between the height X and circumference why of the young trees
NO LINKS !!

Answers

Answer:

i think it’s B

Step-by-step explanation:

2. Noah said the equation 1. 20(d+5)=42 also represents the situation. Do you agree with Noah? Explain your reasoning ✓ Share with Class​

Answers

No, I'm not agree with Noah. Because the equation 1. 20(d+5)=42 is a mathematical equation and can be false depending on the value of the variable d.

THE EQUATION REPRESENT SITUATION BY VARIABLE

The equation 1. 20(d+5)=42 is a mathematical equation that contains a variable d. The equation states that when you multiply 20 with (d+5) the result should be 42.

The equation is true if there is a value of d that makes the equation true. For example, if d=1, then 20(1+5)=20(6)=120 which is not equal to 42, so this value of d does not make the equation true.

On the other hand, if d=-7, then 20(-7+5)=20(-2)= -40 which is equal to 42, so this value of d makes the equation true.

Therefore, the equation can be true or false depending on the value of the variable d. In general, without knowing the specific context or situation in which the equation is being used, it is impossible to determine if the equation accurately represents a situation or not.

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Solve the following equation. Then place the correct number in the box provided 7x-2<10

Answers

Answer:

[tex]\displaystyle x < \frac{12}{7}[/tex]

Step-by-step explanation:

This is an inequality, not an equation. Notice the sign is a "less than" sign and not an "equal" sign. You still solve it like a normal equation, however:

[tex]\displaystyle 7x-2 < 10\\\\\rightarrow 7x < 12\\\\\rightarrow x < \frac{12}{7}[/tex]

- 5 3/4 - 3 1/2 = ? Some one help ty!

Answers

Answer: the exact answer is 9/4, the mixed number is  2 1/4

Step-by-step explanation:

A stockbroker knows from past experience that the probability that a client owns stocks is 0.60 and the probability that a client owns bonds is 0.50. The probability that a client owns stocks if he/she already owns bonds is 0.06. Given that a client owns stock, Calculate the probability (as a decimal) that he/she owns bonds?

Answers

Answer:

"0.07" is the appropriate answer.

Step-by-step explanation:

The given values are:

P(Stock),

= 0.60

P(Bond),

= 0.50

P(Bond | Stock),

= 0.06

Now,

The P(Stock | Bond) will be:

⇒  [tex]P(Stock|Bond)= \frac{P(Stock \ and \ Bond)}{P(Bond)}[/tex]

or,

⇒  [tex]P(Stock|Bond)=\frac{P(Bond|Stock).P(Stock)}{P(Bond)}[/tex]

On substituting the given values, we get

⇒                           [tex]=\frac{0.06\times 0.60}{0.50}[/tex]

⇒                           [tex]=\frac{0.036}{0.50}[/tex]

⇒                           [tex]=0.07[/tex]

please somebody please help ​

Answers

[tex]{\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=1\\ y=27 \end{cases}\implies 27=ab^1\implies 27=ab \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} x=2\\ y=243 \end{cases}\implies 243=ab^2\implies 243=abb\implies \cfrac{243}{ab}=b \\\\\\ \stackrel{\textit{substituting from the 1st equation}}{\cfrac{243}{27}=b\implies \boxed{9=b}} \\\\\\ 27=ab\implies \cfrac{27}{b}=a\implies \cfrac{27}{9}=a\implies \boxed{3=a}~\hfill {\Large \begin{array}{llll} y=3(9)^x \end{array}}[/tex]

Lionel bought 4 candy bar and 2 pack of gum at the ga tation and pend $9. 80. Two pack of gum cot the ame a three candy bar. Let g repreent the cot of a pack of gum and repreent the cot of a candy bar

Answers

The cost of a pack of gum bought by Lionel is $2.1.

Let the variable g represent the cost of a pack of gum.

Let the variable c represent the cost of a candy bar.

Since Lionel bought 4 candy bars and 2 packs of gum at the gas station and spent $9.80, a linear equation that models this situation is;

4c + 2g = 9.80    ......equation (1)

Additionally, two packs of gum cost the same as three candy bars:

2g = 3c     ......equation (2)

c = 2g/3     ......equation (3)

Substituting equation (3) in equation (1), we get:

4(2g/3) + 2g = 9.80

8g/3 + 2g = 9.80

14g/3 = 9.80

14g = 29.4

= 29.4/14

= $2.1

The cost of a pack of gum is $2.1.

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The complete question is -

Lionel bought 4 candy bars and 2 packs of gum at the gas station and spent $9.80. Two packs of gum cost the same as three candy bars. Let g represent the cost of a pack of gum and c represent the cost of a candy bar. What is the cost of a pack of gum?

What is the median? Help please

Answers

Answer:

-65

Step-by-step explanation:

Median = middle number

-76, -74, -67, -65, -63, -58, -48

out of the numbers I am shown, from the photo, I would say "-65" is the answer, but if there is another number I'm missing, add it to the row of numbers above and add the two numbers together and divide by 2

I hope this helps!


The domain of f(x)=ln(x) is negative infinity, infinity.

False, because a logarithmic function is defunded only for positive real numbers

False, because a logarithmic function is defined only for non-negative real numbers

False, because a logarithmic function is defined only for negative real numbers

Answers

Answer: Choice A

False, because a logarithmic function is defined only for positive real numbers.

===========================================================

Explanation:

Using your calculator, you should see that ln(0) is undefined or it leads to some kind of error. The same happens when you try ln(-1) or any other negative number. So ln(x) only allows x > 0. This applies to any log function, and not just the natural log function.

This is why choice A is the answer. Choice B is close, but the use of "non-negative" is not correct because that means 0 is involved. But as explained above, 0 is not allowed as part of the domain.

-----------------

Extra info (optional section)

As for why 0 and negative numbers are not allowed, you have to look carefully at what logs are designed for. They were formed to help solve exponential equations. Consider the following equation

2^x = 16

We could do guess and check to see which value would replace x. You should find that x = 4 is the solution. Though another way to solve is to use logs. The given equation converts to the log form of [tex]x = \log_2(16)[/tex]; note how the number inside the parenthesis is positive. We can't have 2^x equal to a negative value, due to powers of a positive number being a positive result. So that's why we rule out negative numbers as part of the domain. Zero is excluded for similar reasoning.

Answer:

negative infinity

positive infinity

Step-by-step explanation:

edg 2022

Work out the surface area of this solid prism,
25cm
29cm
20cm
40cm
36cm

Answers

Answer:

The figure isn't there brother

A photographer takes 12 different photographs. There are 3 sunsets, 4 oceans, and 5 mountains.

How many possible arrangements are there if all the photographs of the mountains are next to each other?

Answers

Answer:

4838400 arrangements

--------------------------------------------------

Permutation of 5 mountain photographs:

P(5, 5) = 5! = 120

Since all are next to each other, the mountain photographs count as one item along with the other 3 + 4 = 7 photographs and therefore the permutation for this is:

P(8,8) = 8! = 40320

Total arrangements is:

120*40320 = 4838400

What if you quadruple the radius of a circle. What happens to the circumference? Explain using examples.

Answers

Step-by-step explanation:

Let's check

Let radius be x

Circumference:-

➜2πr

2πx

New radius=3x

New Circumference:-

2πr

➜2π3x

➜6πx

Taking ratio:-

➜2πx/6πx

➜1/3

➜1:3

Thus,

If we quadruple the radius Circumference will also be quadrupled.

find the area of the rectangle whose length is 16cm and breath is 8cm

Answers

Answer:

128cm²

Step-by-step explanation:

Formula to find area of rectangle is l×b

Solution

In order to find the area of the rectangle we need to apply that formula

[tex]A =lb[/tex]

[tex]A = 16[/tex]×[tex]8[/tex]

[tex]A = 128[/tex][tex]cm[/tex]²

Hence ,  the area of the given rectangle is 128cm²

The table shows a linear function. What is the rate of change?
Hours
Pay
1
18
1.5
23
2
28
2.5
33
3
38

Answers

Using the regression concept to find the equation and applying derivative, The rate of change is 10.

What do you mean by regression?

Regression analysis is a group of statistical procedures used in statistical modeling to determine the associations between a dependent variable and one or more independent variables. The dependant variable's predicted value in basic linear regression is given by the equation = b0 + b1x. In order to minimize the total sum of squared errors, the values of b0 and b1 are derived from the data using the equation line = b0 + b1X. 

What do you mean by derivative?

The derivative of a function of a real variable in mathematics assesses how sensitively the function's value changes in response to changes in its argument. Calculus's core tool is the derivative.

from the given data,

y= a + bx is our regression line.

a=8 and b =10

y=8+10x is the line.

derivate the line , we get,

[tex]\frac {dy}{dx} = 10[/tex]

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CORRECT ANSWER WITH **STEPS** GETS BRAINLIEST
for the following questions, determine what values of x makes the rational expression equal to zero.
1. x+6 / x-4
2. (x+4)(x-2) / (x+6)
3. 2x+10 / 3x-12

thanks.

Answers

3 is the answer also your welcome

If you rode your bike for a distance of 841 meters, how many kilometers did you ride?



(NO LINKS PLEASE AND A PROPER ANSWER PLEASE AND NO SCAMMING FOR POINTS)

Answers

Answer:

It would be .841

Step-by-step explanation:

There are 1000 meters in a kilometer, and since 841 meters is 841/1000 kilometers, that is how many kilometers you would ride.

Hope this helps!

Veronica bought a house with an FHA loan. She pays $780 a year for real estate taxes
and $900 a year for homeowner's insurance. What is the monthly amount added to
Veronica's mortgage payment?
A: $140
B: $65
C: Not enough information given to compute impound amount
D: $1,680

Answers

900/12= 75
780/12= 65
75+65=140
The answer is a
The answer would be A ($140)

Someone help plz make sure it’s right plz will mark brainiest if it is:)

Answers

The 4th one is correct

Answer:

4th picture is the correct one :)

What number would you add to both sides of x2 + 7x = 4 to complete the square?!...

Answers

Answer:

49/4 is the answer

Step-by-step explanation:

................

Answer:

The number that should be added on both sides is the square of half the coefficient of x. That is (7/2)²

Step-by-step explanation:

Help please!!!!!!!!!

Answers

Answer:

a=8

b=⅛

c= 2.6

d= 0.26

that's all the answers

a) 4x=32, x=8
b)4=32x, x=4/32 or 1/8
c)10x=26, x= 26/10 or 13/5
d)26=100x, x=26/100 or 13/50

Blake has $17.00 to spend at the grocery store. She is going to buy bags of fruit that cost $4.50 each and one box of crackers that costs $3.50​

Answers

You should fully ask the question so someone could answer it.

A necklace contains 36 grams of gold. 72% of the mass of the necklace is gold. What is the mass of the necklace?

Answers

Answer:

$45

Step-by-step explanation:

Answer:

50 grams

Step-by-step explanation:

36 grams = 72%

→ Find 1% by dividing both sides by 72

0.5 grams = 1%

→ Times both sides by 100 to find 100%

50 grams = 100%

Write an inequality with the solution x > or equal to 4. The inequality should have the variable on both sides, a fractional coefficient of the variable on the left side, and a fraction anywhere on the right side.

Answers

The inequality equation ( x ≥ 4 ) is given as ( 1/4 ) + ( 5x/4 ) ≥ ( 5/4 ) + x

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

x ≥ 4   be equation (1)

On simplifying the equation , we get

Divide by 4 on both sides of the equation , we get

( x / 4 ) ≥ 1

Adding x on both sides of the equation , we get

x + ( x/4 ) ≥ 1 + x

Now , adding ( 1/4 ) on both sides of the equation , we get

x + ( 1/4 ) + ( x/4 ) ≥ 1 + x + ( 1/4 )

On simplifying the equation , we get

( 1/4 ) + ( 5x/4 ) ≥ ( 5/4 ) + x

Therefore , the value of A is ( 1/4 ) + ( 5x/4 ) ≥ ( 5/4 ) + x

Hence , the inequality equation is ( 1/4 ) + ( 5x/4 ) ≥ ( 5/4 ) + x

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An amusement park sold 45 child tickets. The other 18 tickets it sold were adult tickets. What is the ratio of the number of child tickets to the number of adult tickets and the ratio of the number of adult tickets to the number of child tickets ?

Answers

Answer:

2.5/1

Step-by-step explanation:

mark me brainliest pls

Are isosceles triangles always 90?

Answers

No, isosceles triangles do not always have to have 90-degree angles.

An isosceles triangle is a triangle with two sides of equal length. While the two sides are equal, they can be of any length. This means that the angles of the isosceles triangle can vary, and the triangle does not always have to have 90-degree angles. In fact, an isosceles triangle can have angles that range from 0 to 180 degrees. The only requirement for an isosceles triangle is that it must have two sides of equal length. As such, an isosceles triangle can have angles that are greater than 90 degrees, angles that are less than 90 degrees, or even angles that are equal to 90 degrees.

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HELP PLEASE ANSWER THIS QUESTION!!!

Answers

Answer:

First use the formula of diamete which is d by 2

Step-by-step explanation:

which the answer comes 6 and after that use formula of area of a semcicle that is pie into radius square and the answer comes 113.14

A worker at a hardware store records the lengths of some pieces of wood in feet. Make a line plot of the data shown below

Answers

Answer: Hello the lengths of the pieces of wood is missing but I will provide the format for drawing a line plot which you can now plug in your own values .

answer :

First draw a number line containing all the values in the given data set

Place a dot on top every value contained in the given data set

place as many dots as possible representing the frequency of the value in the given dataset

Step-by-step explanation:

A line plot is simply a method of displaying given data on a number line

steps :

First draw a number line containing all the values in the given data set

Place a dot on top every value contained in the given data set

place as many dots as possible representing the frequency of the value in the given dataset

attached below is an example


Can someone tell me the answer and why plss

A, B and C are three sets such that A is a subset of B and B is a subset of C.
Which one of the following statements must always be true?
A) B is a subset of A
B) C is a subset of B
C) C is a subset of A
D) A is a subset of C​

Answers

Answer:

Step-by-step explanation:

What's the answer for this question?
This question is way too long

Answers

[tex]83 {p}^{3} {q}^{2} {r}^{2} + 83p {q}^{2} {r}^{3} [/tex]

Answer:

83p^9 + q^7 + r^6 + 83p + r^6

Step-by-step explanation:

^9 means to the power of 9

^7 means to the power of 7

^6 means to the power of 6

i can't do step-by-step, it's too complicated to explain. im sorry

<3

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