Given:
A jar of coins has 8 pennies, 5 nickels, 1 dime, and 7 quarters.
To find:
The probability of drawing a quarter, replacing it, and drawing another quarter.
Solution:
A jar of coins has 8 pennies, 5 nickels, 1 dime, and 7 quarters.
Total number of coins = 8+5+1+7 = 21
Probability of getting a quarter is
[tex]P(Quarter)=\dfrac{\text{Number of quarters}}{\text{Total number of coins}}[/tex]
[tex]P(Quarter)=\dfrac{7}{21}[/tex]
[tex]P(Quarter)=\dfrac{1}{3}[/tex]
After drawing a quarter, we replaced it. So, the probability of getting quarter in second draw is the same and first one, .i.e., [tex]P(Quarter)=\dfrac{1}{3}[/tex].
The probability of drawing a quarter, replacing it, and drawing another quarter is
[tex]P=\dfrac{1}{3}\times \dfrac{1}{3}[/tex]
[tex]P=\dfrac{1}{9}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{9}[/tex].
An airplane on autopilot took 9 hours to travel 6552 kilometers. What is the unit rate for kilometers per hour?
Answer:
695 km and hour
Step-by-step explanation:
help me asap ill give brainliest
Answer:
-6, -2, 1, 8
Step-by-step explanation:
Answer:
-6, -2, 1, 8
Step-by-step explanation:
Negatives have less value than positives, so that's why the negatives go first in the answer.
find the measure of the missing angle
Answer:
? ≈ 25.8°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan? = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{29}[/tex] , then
? = [tex]tan^{-1}[/tex] ( [tex]\frac{14}{29}[/tex] ) ≈ 25.8° ( to 1 dec. place )
Which of the following functions shows the absolute value parent function
F(x) = [xl, vertically compressed?
O A. G(x) = 14x1
B. G(x) = 12.5x1
C. G(x) = x1
D. G(x) = 10x1
The function which represent the absolute value is G ( x ) = a|x| , where the value of a < 1
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = | x |
This function is symmetric with respect to the y-axis and has a V-shape, with the vertex at (0,0).
To vertically compress the function, we can multiply the function by a constant value less than 1.
And , the function that shows the absolute value parent function f(x) vertically compressed is:
G ( x ) = a| x |, where 0 < a < 1
The value of "a" determines the degree of compression of the function. The smaller the value of "a", the greater the degree of compression.
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In ΔSTU, the measure of ∠U=90°, TS = 41, UT = 9, and SU = 40. What is the value of the sine of ∠S to the nearest hundredth?
Answer:
Step-by-step explanation:
sinS = 9/41 ≅ 0.22°
Do you have to add both of the bases in a triangular prism to find the volume? Someone please help!
Answer:
Yes,you have to add both of the bases in a triangle prism to find the volume.
Step-by-step explanation:
took the test.
Answer:
No, you need it onceStep-by-step explanation:
Volume of the prism:
V = bhYou use the area of the base once, multiply it by the height to find the volume
The answer is no.
Determine whether each statement is True or False.
Answer ASAPPP plz i need your help
Answer:
Step-by-step explanation:
The closest to sea level is - 11. The minus sign indicates that you are below 0 or the level of the sea at that location. So what is true and what isn't?
Grasshopper meadow is not closest to sea level. At 15 feet it is 4 feet more above the closest one at - 11. False
Echo point is the highest above sea level. It is 45 feet above sea level. This statement is also False.
What is the partial product of 19 times 20
I WILL MARK YOU BRANLIEST IF YOU ANSWER THIS QUESTION
What’s 6.4 rounded to the nearest 10th
Answer:
6.4
Step-by-step explanation:
6.4 is equivalent to 6.40 so it would be closest to 0, leaving it as 6.4.
6.4 is rounded to the nearest 10th as 6.4
The digit in the smallest location is unaffected if it is less than 5 in number. Rounding down is the process of reducing a number to zero after a certain number of digits. The digit in the smallest location is added with +1 if it is bigger than or equal to 5.
After decimal the number is less than 5, so it will remain unchanged and if the number is greater than or equal to 5, then an increment of 1 is introduced.
So, 6.4 rounded to the nearest 10th as 6.4
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After 3 months, $3,900 deposited in a savings account with simple interest had grown to a total of $4,017. What was the interest rate?
Answer:
12%
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 12%/100 = 0.12 per year,
then, solving our equation
I = 3900 × 0.12 × 0.25 = 117
I = $ 117.00
The simple interest accumulated
on a principal of $ 3,900.00
at a rate of 12% per year
for 0.25 years is $ 117.00.
Someone help me (10 points each)
Answer:
132
Step-by-step explanation:
Answer:
132
Step-by-step explanation:
some one help me i lost with this thing
Answer:
Im in middle school
Step-by-step explanation: I have no clue how to help u and bc I have no idea how brainy works -_-
Perform the indicated operations:
4−1−4
05−2
0810
−7
−11
22
4−1−4
0ab
0cd
−7
88
110
a =
, b =
, c =
, d =
Answer:
A= -40
B= 16
C= 40
D= 50
Step-by-step explanation:
The values of the matrix is a = -40, b = 16, c = 40, d = 50.
What is a matrix?A matrix is an arrangement of numbers, expressions or symbols arranged in rows and columns as a rectangular array. These rows and columns define the size or dimension of a matrix.
For the given situation,
The matrix is
[tex]\left[\begin{array}{ccc}4&-1&-4\\0&5&-2\\0&8&10\end{array}\right] = \left[\begin{array}{c}-7&-11&22\end{array}\right][/tex]
The operation on matrix is
[tex]-8R2- > R2[/tex] and
[tex]5R3- > R3[/tex]
⇒ [tex]\left[\begin{array}{ccc}4&-1&-4\\0&-40&16\\0&40&50\end{array}\right] = \left[\begin{array}{c}-7&88&110\end{array}\right][/tex]
On comparing this equation with the given equation,
[tex]a=-40, b=16, c=40, d=50[/tex]
Hence we can conclude that the values of the matrix is a = -40, b = 16, c = 40, d = 50.
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Pleaseee help
Find the length of the hypotenuse of ΔQPO
A. 5
B. 10
C. 12
D. 13
Answer:
i dont see a answer nothing equals 90
Step-by-step explanation:
but to make 180 its
12
Answer:
Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²)
The Answer Letter: A
Explain what effect an index of 0 has
Answer:
Zero-based numbering is a way of numbering in which the initial element of a sequence is assigned the index 0, rather than the index 1 as is typical in everyday non-mathematical or non-programming circumstances.
plz follow me
A shoe store owner uses a 15 percent markup on the merchandise. At what price will she sell shoes that were purchased for $35?
Answer:
$40.25
Step-by-step explanation:
35 increase 15% =
35 × (1 + 15%) = 35 × (1 + 0.15) = 40.25
If 4y + 4x = 12, what is y in terms of x?
Answer:
Y=-x+3
Step-by-step explanation:
First move the the x term to one side. Isolate the y term. Then because the coefficient is 4 in the y term divide the whole equation by 4. Then you get your answer.
Directions: Calculate the volume of the box in the diagram.
Answer:
6cm^3
Step-by-step explanation:
V = l*w*h
........... ....
Answer:
6
Step-by-step explanation:
3 times 2 =6
6 times 1 =6cm3 (cubed)
ZOOM IN IF YOU CANT SEE THE PIC I NEED HELP ASAP
Answer:
5/9
Step-by-step explanation:
Answer:
i think 5/9
Step-by-step explanation:
Last week, Naomi set a new personal record for running the mile. She beat her previous record by 14 seconds. The time change from her previous record can be represented by.____
zero
a positive rational number
a negative rational number
brainlyist for the correct answer
.
Answer:
a negative rational number
Step-by-step explanation:
I'm pretty positive this is the answer, but its worded strange in my opinion
(GIVING BRAINLIEST!!!)
0.5 g of salt is equal to how many milligrams?
Show all of your calculations.
Answer:
500 mg
Step-by-step explanation:
K H D B D C M (Kilo, Hecto, Deka, Base [meters, grams, etc.] Deci, Centi, Milli)
since you're using grams substitute G for B
K H D G D C M
you have 0.5 grams of salt, which will be G for grams. you want to convert it to milligrams, which is M. you will move the decimal over 3 spots in order to get from G to M, therefore you go from 0.5 grams to 500 milligrams. I hope this is helpful!
Write an algebraic expression for each situation for 22 divided by s
Answer:
s/22? i think thats one way
Step-by-step explanation:
PLEASE HELP WITHIN 1 hr
divide 72 pens between Sarah and Amina is the ratio 4:5.
Answer:
Sarah gets 32 pens and Amina gets 40 pens
Step-by-step explanation:
72 pens
4/9×72 = 4×8 =32
Sarah gets 32 pens
5/9×72=5×8=49
Amina gets 40 pens
hope it helped
Select the true statement(s):
Answer:
The true statement is C because between -4 and 14 is 10
Step-by-step explanation:
Plz mark brainliest
Answer:
b
Step-by-step explanation:
(-5)-12=17
6-(-3)=9
(-4)-14=18
hope this helps have a great day :)
In a chemistry lab, you have two vinegars. One is 8% acetic acid, and one is 9.5% acetic acid. You want to make 300mL of a vinegar with 9% acetic acid. How many milliliters of each vinegar do you need to mix together?
Answer:
4.5
Step-by-step explanation: there
Can someone explain step by step how they would solve this.
2(3x-1)-x =2x-11
Answer:
x = - 3
Step-by-step explanation:
Given
2(3x - 1) - x = 2x - 11 ← distribute parenthesis on the left side and simplify
6x - 2 - x = 2x - 11
5x - 2 = 2x - 11 ( subtract 2x from both sides )
3x - 2 = - 11 ( add 2 to both sides )
3x = - 9 ( divide both sides by 3 )
x = - 3
The two dot plots compare ages of girls and boys in a pottery class.
Which group has a greater median?
Can someone please help me?:)
i dont know how to do this question can you please explain how to
Answer:
84
Step-by-step explanation:
the perimeter is basically all the way round a shape
P=2l+2d2﹣l2 for the diagnol