The probability that he selects a dime and then a quarter without replacement is 1/10
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here: John has 8 dimes 5 pennies and 3 quarters.
Total number of coins that John has is =8+5+3
=16
Thus the probability of picking a dime is P(dime)= 8/16
=1/2
Therefore the conditional probability that John picks a dime and then a quarter is given by
P(dime/quarter)=1/2×3/15 ( As the dime picked is not replaced)
=1/10
Hence, the probability that he selects a dime and then a quarter without replacement is 1/10
Learn more about probability here:
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Describe all the x-values at a distance of 20 or less from the number 12. Enter your answer in interval notation.
Answer: [tex]12< x \leq 20[/tex]
Step-by-step explanation:
Given
x is at a distance of 20 or less i.e. x can be 20 or less
[tex]x\leq20[/tex]
and it starts from the number 12 i.e.
[tex]12< x[/tex]
In interval notation it is
[tex]12< x \leq 20[/tex]
Please answer this equation 4x+1-1 > -8
Answer:
+1-1=0
4x>-8
x>-2
Step-by-step explanation:
Answer:
x>−2
Step-by-step explanation:
divide 103.2 tonnes in the ratio 5:3
Answer:
[tex]\frac{64.5}{38.7}: \frac{5}{3}[/tex]
Step-by-step explanation:
5 : 3
5 + 3 = 8
103.2 ÷ 8
12.9
12.9 × 3
38.7
12.9 × 5
64.5
2 3/8 • 1 1/6
Help step sis I'm stuck
Answer:
2.77083333333
Step-by-step explanation:
I assume. Do not hold me account for mistakes, I apologize if my work is incorrect. Have a good day/night :}
Henrietta did an experiment. She started out with 800 bacteria cells. She found that the growth rate of the bacteria cells was 3.2%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 35 h from the time Henrietta started the experiment. I need help asap please
Answer:
See belowStep-by-step explanation:
Given
Initial number of bacteria = 800Growth rate = 3.2% = 1.032 timesRequired equation:
B(t) = 800(1.032)^t, where B- number of bacteria, t- time in hoursThe y-intercept is:
B(0) = 800*1.032^0 = 800The point (0, 800)Bacteria population 35 in hours:
B(35) = 800*1.032^35 = 2409The point (35, 2409)What is the possible number of turns for a square
Answer: 5
Step-by-step explanation:
please answer this question!! whoever answers correctly will get brainiest!!!
Answer:
x
=
2
Step-by-step explanation:
Answer:
Hello! answer: x = 12
Step-by-step explanation:
with these you have to cross multiply so 2 x 24 = 48 so now we know that 4 multiplied by something will equal 48 so we can simply do this by doing 48 ÷ 4 and 48 ÷ 4 = 12
Solve for x. Round your answer to the nearest hundredth.
2x^2-6x+3=0
Step-by-step explanation:
[tex]2 {x}^{2} - 6x + 3 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{6± \sqrt{12} }{4} \\ x = 2.4 \: or \: 0.6[/tex]
The butcher sold 200 pounds of meat on Thursday. She sold double
that amount on Friday. She sold the same amount of meat on both
Saturday and Sunday. The total amount of meat she sold between
Thursday and Sunday was 900 pounds. How much meat was sold on
Saturday? Make sure to show your work!
Please help!
Please help!! I will give brainliest and no links!!
PROBLEM:
Jenni's mother sent her to the Farmers Market to buy 5 pounds(lbs.) of
potatoes. The market sold potatoes by the ounce (oz.) Jenni asked Farmer
Brown for 5 pounds of potatoes. Farmer Brown gave Jenni 64 ounces of
potatoes. Jenni noticed that she did not get 5 lbs. of potatoes. How many
more ounces does she need so that her mother can make 5 lbs. of french
fries?
Answer:
16 ounces
Step-by-step explanation:
1 pound = 16 ounces
16*5 = 80 ounces
5 pounds = 80 ounces
80-64 = 16 ounces
The ratio of the weights of A and B is equal to the ratio of the weights
of C and D. If A is 20 kg, B is 24kg and C is 40 find out the value of D .
Answer:
D = 48kg
Step-by-step explanation:
The ratio of the weights of A and B is equal to the ratio of the weights
of C and D.
From the above question
A : B = C : D
This can also be interpreted as
A/B = C/D
A is 20 kg
B is 24kg
C is 40kg
D is ?
Therefore:
20/24 = 40/D
Cross Multiply
20D = 24 × 40
D = 24 × 40/20
D = 48
Therefore, D = 48kg
4. One week Lin's balance at the start of the week was (- $16) but she
earned $20 from babysitting and deposited it into her bank account. What was her
account balance at the end of the week?
HELP ASAP!!! ∠BPA is equal to 30°. Find the length of BP.
Answer:
In Fig. 8.27 , AP and, BP are tangents to a circle wit
Step-by-step explanation:
HELP ASAP
What is the solution to the given system of equations?
y=4x-28
y=1.5x-18
1(-12,4)
2.(2,-12)
3.(7,0)
4.(7.5,2)
Answer:
Solution (4, -12)None of the listed choices are a solution
Step-by-step explanation:
y = 4x - 28
y = 1.5x - 18
Set the equations equal since both equal y
4x - 28 = 1.5x - 18
Subtract 1.5x from both sides
2.5x - 28 = -18
Add 28 to both sides
2.5x = 10
Divide both sides by 2.5
x = 4
---------------------
use x= 4 in either equation
y = 4x - 28
y = 4(4) - 28
y = 16 - 28
y = -12
--------------------
Solution (4, -12)
The Sum of the angles of a regular
polygon is 2 520". How many sides does
the polygon have?
Answer:
hi bye good luck
Step-by-step explanation:
Answer:
idek;)
Step-by-step explanation:
A company that makes hair-care products had 4,000 people try a new shampoo. Of the 4,000 people,
32 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
0.8%
Step-by-step explanation:
if you divide 32 by 4,000 you get 0.008 and that as a percent iss 0.8%
A bag with 10 marbles has 2 yellow marbles, 4 blue marbles, and 4 red marbles. A marble is chosen from the bag at random. What is the probability that it is yellow?
Answer:
P(Y) = 2/10 = 1/5
Step-by-step explanation:
From the above question:
Total number of marbles = 10 marbles
Number of yellow marbles = 2 yellow marbles
Number of blue marbles = 4 blue marbles
Number of red marbles = 4 red marbles.
The probability of choosing a marble that is yellow is calculated as:
= P(Y) = Number of yellow marbles/Total number of marbles
P(Y) = 2/10
P(Y) = 1/5
Which of the decibes a unique polygon?
Answer:
In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape with straight sides. It does not have curved sides.
Step-by-step explanation:
97+y=167
What is this
Answer:
70
Step-by-step explanation:
167-97 = 70
15^2+9^2=?
Round to the nearest 10
Dylan draws up a plan to fence in a yard for his chickens. This distance between grid lines is 1 foot. A. Is 30 feet of fencing enough to enclose the yard?
Someone please please help me
No links or files
The answer is C for the first question. Blank 1 the answer is 29. Blank 2 the answer is 7. I hope this helps, have a good day!
What is C26 ?
12
15
8
30
Answer:C26 is also a Category of EAD (Employment Authorization Document) provided to immigrant workers in U.S. These are dependents of H1b visa holders commonly referred to as H4-EAD.
Step-by-step explanation:
Answer:
Its 15
Step-by-step explanation:
What is the mean of the data set? {11, 14, 15, 16, 16, 18, 20, 20, 22, 22} A. 11 B. 15.6 C. 17.4 D 18
Answer:
C. 17.4
Step-by-step explanation:
add all the numbers and then divide
11 + 14 + 15 + 16 + 16 + 18 + 20 + 20 + 22 + 22 = 174
then divide by the amount of numbers there is which is 10.
174/10 = 17.4
Asher sold 4 less than 2 times as many cups of lemonade on Monday than he did on Tuesday. If he sold 24 cups on Monday, which equation
will determine how many cups, c, Asher sold on Tuesday?
Answer:
What are the options?
Step-by-step explanation:
A hovercraft takes off from a platform. It's height (in meters), x seconds after takeoff, is modeled by h(x)=-(x-11)(x+3) How many seconds after takeoff will the hovercraft land on the ground?
Answer:
11seconds
Step-by-step explanation:
Given the height of the hovercraft expressed as;
(x)=-(x-11)(x+3)
The height of the hovercraft on the ground is 0, hence;
0 =-(x-11)(x+3)
-(x-11)(x+3) = 0
Multiply both sides by minus
(x-11)(x+3) = 0
x-11 = 0 and x+3=0
x = 11 and -3
Since time cannot be negative, hence the hovercraft will land after 11seconds
6. The swing set on the playgrounds is getting wobbly, and you have been asked to put outrigger boards to help stabilize it. If the crossbar of the swing is 10 feet off of the ground, the outrigger to be attached at a 40 degree angle, and you want to bury the outrigger boards 3 feet onto the ground, how long would the boards have to be? (Hint: the outrigger is the hypotenuse of a right triangle)
Answer:
[tex]X=18.6ft[/tex]
Step-by-step explanation:
From the question we are told that:
Height of swing's crossbar [tex]H=10ft[/tex]
Angle [tex]\theta=40 \textdegree[/tex]
Depth of outrigger [tex]d_=3ft[/tex]
Generally the equation for slant height l is mathematically given by
[tex]l=\frac{opposite}{sin\theta}[/tex]
Therefore
[tex]l=\frac{H}{sin\theta}[/tex]
[tex]l=\frac{10}{sin 40\textdegree}[/tex]
[tex]l=15.6ft[/tex]
Since the Depth of outrigger
[tex]d_=3ft[/tex]
Therefore Length of the board X
[tex]X=l+d[/tex]
[tex]X=15.6+3[/tex]
[tex]X=18.6ft[/tex]
9p²-?p+49
In order for the following expression to be a perfect square trinomial, fill in the missing number
Answer: ? = 42
Step-by-step explanation:
(a-b)² = a² - 2ab + b². From 9p² -?p + 49 we see
9p² = (3p)² and 49 = 7² Then Middle term is -2·(3p)·7 = -42p
A cone with radius of 4 feet and a height of 9 feet what is the volume of the cone in cubic feet. Round to the nearest hundredth
Answer:
150.8 ft3
Step-by-step explanation:
Please I need help!!!!!
Answer:
Solution given:
we have
f(x)=x²-9x-36
let
y=x²-9x-36
when
x=0
y=-36
when
y=0
0=x²-9x-36
x²-12x+3x-36=0
x(x-12)+3(x-12)=0
(x-12)(x+3)=0
either
x=12
x=-3
So,
x and y intercepts are (-3,0)(12,0) and 0,-36)