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.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ1
- 5 3/4 - 3 1/2 = ? Some one help ty!
Answer: the exact answer is 9/4, the mixed number is 2 1/4
Step-by-step explanation:
Are isosceles triangles always 90?
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.
Learn more about isosceles triangles here
https://brainly.com/question/2456591
#SPJ4
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)
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!
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
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?
Answer:
4838400 arrangements--------------------------------------------------
Permutation of 5 mountain photographs:
P(5, 5) = 5! = 120Since 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! = 40320Total arrangements is:
120*40320 = 4838400Solve the following equation. Then place the correct number in the box provided 7x-2<10
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]
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
Answer:
Step-by-step explanation:
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 ?
Answer:
2.5/1
Step-by-step explanation:
mark me brainliest pls
Work out the surface area of this solid prism,
25cm
29cm
20cm
40cm
36cm
Answer:
The figure isn't there brother
find the area of the rectangle whose length is 16cm and breath is 8cm
Answer:
128cm²
Step-by-step explanation:
Formula to find area of rectangle is l×b
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
What if you quadruple the radius of a circle. What happens to the circumference? Explain using examples.
Step-by-step explanation:
Let's check
Let radius be xCircumference:-
➜2πr
➜2πx
New radius=3xNew Circumference:-
➜2πr
➜2π3x
➜6πx
Taking ratio:-
➜2πx/6πx
➜1/3
➜1:3
Thus,If we quadruple the radius Circumference will also be quadrupled.
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
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?
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]
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.
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
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]
To learn more about regression visit:
https://brainly.com/question/14313391
#SPJ1
Someone help plz make sure it’s right plz will mark brainiest if it is:)
Answer:
4th picture is the correct one :)
HIJK is a square and KI = 6√2. Find HI
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
Learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682
#SPJ1
HELP PLEASE ANSWER THIS QUESTION!!!
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
What's the answer for this question?
This question is way too long
[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
Help please!!!!!!!!!
Answer:
a=8
b=⅛
c= 2.6
d= 0.26
that's all the answers
please somebody please help
[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
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.
Read more about the equation:
brainly.com/question/15527616
#SPJ4
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?
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
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
A necklace contains 36 grams of gold. 72% of the mass of the necklace is gold. What is the mass of the necklace?
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%
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
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 VARIABLEThe 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.
Learn more about equation here:
https://brainly.com/question/29657983
#SPJ4
What number would you add to both sides of x2 + 7x = 4 to complete the square?!...
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:
Which equation best models relationship between the height X and circumference why of the young trees
NO LINKS !!
Answer:
i think it’s B
Step-by-step explanation:
What is the median? Help please
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!
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.
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
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ1
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
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