Which of the pairs of events below is mutually exclusive?
Select the correct answer below:
drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards
drawing a 2 and drawing a 4 with replacement from a standard deck of cards
drawing a heart and then drawing a spade without replacement from a standard deck of cards
drawing a jack and then drawing a 7 without replacement from a standard deck of cards
Answer:
Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.
Step-by-step explanation:
Given four pair of events:
1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards
2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards
3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards
4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards
To find:
Which of the pairs is mutually exclusive?
Solution:
First of all, let us have a look at the definition of mutually exclusive events.
Mutually exclusive events do not have any case in common.
In other words, two events are known as mutually exclusive when both the events can not occur at the same time.
Now, let us have a look at the given options one by one:
1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.
We know that there is only one ace of spades in a standard deck.
Therefore, the two events can not occur one after the other, so these are mutually exclusive events.
2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.
The two events can occur one after the other, so these are not mutually exclusive.
3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.
Separate cards are drawn one after the other, so not mutually exclusive.
4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.
Separate cards are drawn one after the other, so not mutually exclusive.
a) cual es la resistencia equivalente de todo el circuito
B) cual es la corriente I de la bateria
ava rents the snowboard for 4 days . Lucia rents the boots for 5 days . What is the total cost of the rentals ?
whatever how much the money is for one day on the object just multiply the money by the days it's rented out and add together the snowboard total and the boots total
Answer:
358
Step-by-step explanation:
SOMEBODY HELP !!!!!!!
Answer:
i got
[tex] - \frac{11}{12} [/tex]
I do not know if I'm right please tell me me if I'm wrong
Monica works at a local bike shop. On Friday, she sold 5 mountain bikes and 10 road bikes. On Saturday, she sold 9 mountain bikes and 15 road bikes. Did Monica sell the same ratio of mountain bikes to road bikes on both days?
Answer:
they aren't the same ratio
Step-by-step explanation:
ratio of 5:10 then 9:15
5/10 and 9/15
and that is simplified
2.5/5 and 3/5 so they aren't the same ratio
Please look at the pic and help it got marked wrong
Answer:
although it is true that could be -(1/4)^4
if you multiply the answer can also be -1/256
Heya!!
your answer is!
-1/256
BRAINLIEST Multiply each side by the common denominator
Answer:
c. x² + 2x -5 = 0
Step-by-step explanation:
Given expression;
[tex]\frac{5}{x}[/tex] = [tex]\frac{x + 2}{3}[/tex]
Unknown:
The quadratic equation equivalent to this expression:
Solution:
The common denominator here is 3x;
So, multiply both sides by 3x
[tex]\frac{5}{x}[/tex] x 3x = [tex]\frac{x + 2}{3} x[/tex] 3x
5 x 3 = (x + 2)x
15 = x² + 2x
So;
x² + 2x - 15
The quadratic expression is x² + 2x - 15
please view the picture
Answer:
see below
Step-by-step explanation:
3x+9y = 27.9
To find the x intercept , let y=0
3x +0 = 27.9
Divide each side by 3
3x/3 = 27.9/3
x = 9.3
The x intercept is 9.3
To find the y intercept , let x=0
0+9y = 27.9
Divide each side by p
9y/9= 27.9/9
y = 3.1
The y intercept is 3.1
Round to the nearest whole number 7.6
Answer:
8
Step-by-step explanation:
You would round because 7.6 is over half
what is (2 cubed) to the fourth power
Answer: 4096
Step-by-step explanation: 2^3=8, 8^4=4096.
Answer:
4096
Step-by-step explanation:
2 cubed=8
8^4=4096
50 Points, Will mark brainliest!
Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.
m∠ACD=(5x+25)∘, m∠BDC=(25x+35)∘
Answer:
m∠ACD = 50°
m∠BDC = 160°
Step-by-step explanation:
From the picture attached,
Two parallel lines AC and BD are intersected by a transversal line.
Angles formed ∠ACD and ∠BDC are the consecutive angles.
By the theorem of consecutive interior angles,
m∠ACD + m∠BDC = 180°
(5x + 25)° + (25x + 35)° = 180°
30x + 60 = 180
30x = 180 - 60
30x = 150
x = 5
Therefore, m∠ACD = (5x + 25)
= 5(5) + 25
= 50°
And m∠BDC = (25x + 35)°
= 25(5) + 35
= 125 + 35
= 160°
-12.5 - (-4.8) What is the value of the expression?
is this a keep, change, change?
-9-8
Answer:
umm i think so
Step-by-step explanation:
Student A: Types 32 words in 1 minute
Student B: Types one word in 0.05 minutes
Who types faster
Answer:
student A types faster
Step-by-step explanation: if student B can only type one word in 0.05 minutes then he would only be typing 20 words per minute, compared to the 32 student A can type.
Find the equation of the line in slope-intercept form. f Slope is 2/3 through (3, 4)
Answer:
y=2/3x+2
Step-by-step explanation:
let f(x) = 2x - 1, g(x) = x²- 2 x+ 1. find (f• g ) (x)
Answer:
f•g(x) = f(x)•g(x)
f•g(x) = (2x-1) (x²-2x+1)
= 2x³-4x²+2x-x²+2x-1
= 2x³-5x²+4x-1
3(2x + 1) – (4x + 2)
How do i siplify this
Answer:
= 2x + 1
Step-by-step explanation:
| 1) A penny made in 1982 weighs about 0.11 ounce. A
penny made in 2013 weighs about 0.09 ounce. Which
penny weighs more? Solve this problem any way you
choose.
Answer:
Weight in 1982
Step-by-step explanation:
Given parameters:
Weight of penny in 1982 = 0.11 ounce
Weight of penny in 2013 = 0.09 ounce
Unknown:
Which penny weighs more = ?
Solution:
Simply, we are looking for which number is higher,
0.11 or 0.09
Let us find the differences;
if x is greater than y then, x - y must be positive
If 0.11 is greater then 0.09, then 0.11 - 0.09 must be positive
= 0.02, it is positive
The weight of a penny in 1982 is greater than that in 2013
ryans tennis club Membership Which is 11$ is deducted each month which expression shows the total deductions for the year?
Answer:
(-$11)x12
Step-by-step explanation:
hope this helps if its right can i get brainliest
Find the equation of a line parallel to −2x+2y=6 that contains the point (3,−5). Write the equation in slope-intercept form.
2. If Mrs. Esposito drove 585 miles to North Carolina in 9 hours, what speed was she driving? (miles per hour) a. 55 mph b. 60 mph c. 58.5mph d. 65mph
Your answer is 65
Step-by-step explanation:
You need to divide 585 by 9 the answer is 65
can somebody PLZ HELP ME ASAP!!
Answer:
34 days 4 hours and 40 minutes
Step-by-step explanation:
First convert 3,962km to miles.
There are 1.609km in 1 mile so:
3,962km/1.609km = 2461.87 miles ≈ 2,462mi
If your walking speed is 3mph then divide the distance by 3.
2462/3 = 820.67hours.
Let's figure out the number of days, hours, minutes.
820.67hr/24 = 34.1944 days since we have a fraction of a day, let's figure out hours.
.1944 x 24 = 4.6666 So 4 hours and some minutes, let's figure out the minutes.
.66666 x 60 = 40
At 3mph it will take you 34 days 4 hours and 40 minutes to walk from New York to Los Angeles if you take no breaks and don't sleep.
plz help im having a very hard time answering these questions
i will mark u as brainliest
STEP BY STEP EXPLANATION:
drops
Bill and Jerry are both taking their hot-air balloons to the balloon show.
They are good friends and like to share experiences. The especially like that when
they get to fly their balloons next to each other. Unfortunately they did not get
cleared to depart at the same time. Bill got to go up first and had already started
to descend by the time that Jerry was cleared. Five seconds before Jerry takes
off Bill’s balloon basket was 1032 feet above the ground falling at a constant rate.
Five seconds after Jerry takes off Bill’s basket was 985 feet above the ground
and Jerry’s balloon basket was 57 feet off the ground and rising at the same
constant rate the whole time. To the nearest tenth of a second, how long after
Jerry’s balloon took off will the height of the two balloon baskets be the same
height?
9514 1404 393
Answer:
62.6 seconds
Step-by-step explanation:
We can use the 2-point form of the equation for a line to write equations for the heights of the balloons.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
__
For Bill's balloon, the two given points are ...
(t, h) = (-5, 1032) and (5, 985)
Then the equation is ...
h = (985 -1032)/(5 -(-5))(t -(-5)) +1032
h = -47/10(t +5) +1032
__
For Jerry's balloon, the two given points are ...
(t, h) = (0, 0) and (5, 57)
Then the equation is ...
h = (57-0)/(5-0)(t -0) +0
h = (57/5)t
__
The heights are equal when ...
-47/10(t +5) +1032 = (57/5)t
1008.5 = t(57/5 +47/10) = 16.1t
Then the time until heights are the same is ...
t = 1008.5/16.1 ≈ 62.6 . . . seconds
A rectangular poster is 5 dm long and 3 dm wide. Sara wants to paint the whole poster. Find the area of the poster in square cm.
Answer:
[tex]\boxed{1500cm^{2} }[/tex]
Step-by-step explanation:
Area = Length × Width
→ Identify the length and width
Length = 5 and Width = 3
→ Substitute in the values
Area = 5 dm × 3 dm
→ Convert into cm
Area = 50 cm × 30 cm
→ Simplify
1500 cm²
A 100 mL vial of 25% solution is available in stock. An order is recieved for 6 g to be added to 250 mL of fluid for an iv infusion. Whats the total volume of the iv?
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Answer:
274 mL
Step-by-step explanation:
Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.
Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.
With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...
v/(6 g) = (100 mL)/(25 g)
v = (6 g)(100 mL)/(25 g) = 24 mL
So, the total volume of the infusion is ...
250 mL +24 mL = 274 mL
_____
* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.
Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.
Find the cardinal number of the set:
{2,4,6,...,18}
Answer:
9
Step-by-step explanation:
The cardinality of a set - the number of terms in that set.
in the set {2, 4, 6, ... 18}
We can assume that the numbers follow a pattern: in this case, the pattern is multiples of 2 till 18 starting with 2.
so that means that the full set is
{2, 4, 6, 8, 10, 12, 14, 16, 18}
There are 9 numbers in that set;
so the cardinality of the set is 9
The Jackson family went to eat at Applebees. Their bill came to $32.89. They gave the waiter a 15% tip. What was the total amount they paid for their bill?
$32.89
15% tip
Is $4.94
Making the total of the bill
$37.83
Please help ASAP! All questions.
Answer:
I think i don't really know its been awhile for me.
Step-by-step explanation:
But i think you do 2 x 10 and what ever you get from that you multiply by 5 and what get from that you divide by 24.
I may not be right.
So please don't hate i tried.
2 points 5. What property is used to get from Step 1 to Step 2? * Step 1 : 28x + 10 = 66 Step 2: 28x = 56
Answer: subtraction property of equality
Step-by-step explanation: