Answer: The probability of drawing a king from the deck has been changed when a Jack is drawn and not replaced back. So the two events are dependent. The answer to this question is TRUE
Step-by-step explanation:
Two events are dependent if the occurrence of one event affects the probability of occurrence of the other event.
Total number of cards in a deck are 52. There are 4 jacks and 4 kings.
If we simply pick up a king from the deck, the probability of picking a king would be
However, when a Jack is drawn from the deck of cards and not replaced back, the number of total cards reduces by 1. So now the total number of cards in the deck is 51 with 4 kings. In this case the probability of drawing a king is 4/51
a quadratic patterns has a second term equal to 1,a third term equal to -6 and fifth term equal to -14 .hence or otherwise calculate the first term of the pattern
Answer:
first term of the pattern (T₁) : 10
Step-by-step explanation:
T₁ ; 1 ; -6 ; T₄ ; -14
1-T₁ ; -6-1 ; T₄-(-6) ; -14 -T₄ (First Tₙ-Tₙ₋₁)
-8+T₁ = T₄+13 = -2T₄-20 (2nd Tₙ-Tₙ₋₁ is constant)
T₄+13 = -2T₄-20 3T₄ = -33 T₄ = -11
-8+T₁ = T₄+13 -8 + T₁ = -11 + 13 = 2
T₁ = 10
Andrew spends his off days volunteering at a dog kennel. There are 24 dogs at the
kennel. He knows that 5/8 of the dogs are male. How many male dogs are at the kennel?
Answer:
16
Step-by-step explanation:
Number of male dog in Kennel are 15 dogs
Given that;
Total number of dogs = 24 dogs
Ratio of male dog = 5/8
Find:
Number of male dog in Kennel
Computation:
According to the question;
Number of male dog in Kennel = Total number of dogs × Ratio of male dog
Number of male dog in Kennel = 24 × [5/8]
Number of male dog in Kennel = 3 × 5
Number of male dog in Kennel = 15 dogs
Learn more:
https://brainly.com/question/14150442?referrer=searchResults
How to find the value of x
Step-by-step explanation:
To find the value of x bring the variables to the left side and bring all what remained values to the right side and then simplify them to find the answer or the result hope I helped and a have a good luck
At a factory, two machines pack bottles into boxes for shipping. Machine A can pack 8 boxes per minute, and Machine B can pack 11 boxes per minute.
1. Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.
Answer: 25 minutes
Step-by-step explanation:
Which inequality is true for x = 2?
A. 6x + 20 < 29
B. 7x - 10 < 11
C. 14x +10 < 37
D. 15x - 18 < 12
what is the volume of the rectangular prism?
Answer:
7 square yards
Step-by-step explanation:
3 of these blocks make a yard so
L * W * H
2 1/3 * 1 * 3 = 7/3 * 3 = 7
answer 7 square yards
A certain company sends 50% of its overnight mail parcels via express mail service E1. Of these parcels, 1% arrive after the guaranteed delivery time (denote the event late delivery by L). Suppose that 10% of the overnight parcels are sent via express mail service E2 and the remaining 40% are sent via E3. Of those sent via E2 on 2% arrive late, whereas 5% of the parcels handled by E3 arrive late.
A. If a record of an overnight mailing is randomly selected from the company's file, what is the probability that the parcel went via El and was late?
B. What is the probability that a randomly selected parcel arrived late?
C. If a randomly selected parcel has arrived on time, what is the probability that is was not sent via E1?
Answer:
A. 0.005 = 0.5% probability that the parcel went via El and was late
B. 0.027 = 2.7% probability that a randomly selected parcel arrived late.
C. 0.8148 = 81.48% probability that is was not sent via E1
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
A. If a record of an overnight mailing is randomly selected from the company's file, what is the probability that the parcel went via El and was late?
50% are chosen via E1, and of those, 1% were late. So
[tex]p = 0.5*0.01 = 0.005[/tex]
0.005 = 0.5% probability that the parcel went via El and was late
B. What is the probability that a randomly selected parcel arrived late?
1% of 50%(via E1)
2% of 10%(via E2)
5% of 40%(via E3).
So
[tex]p = 0.01*0.5 + 0.02*0.1 + 0.05*0.4 = 0.027[/tex]
0.027 = 2.7% probability that a randomly selected parcel arrived late.
C. If a randomly selected parcel has arrived on time, what is the probability that is was not sent via E1?
Conditional Probability.
Event A: Late
Event B: Not sent via E1
0.027 = 2.7% probability that a randomly selected parcel arrived late, which means that [tex]P(A) = 0.027[/tex]
Late and not sent via E1:
2% of 10%(via E2)
5% of 40%(via E3).
So
[tex]P(A \cap B) = 0.02*0.1 + 0.05*0.4 = 0.022[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.022}{0.027} = 0.8148[/tex]
0.8148 = 81.48% probability that is was not sent via E1
The grade six pupils decided to have an income generating project. They make
pancakes and spent P100; P50 for 1k of flour, P15 for 2 eggs, P15 1/4sugar. P10 for
baking powder and P10 of margarine. If they made 50 pcs, how much they should sale
each if they add 20% profit?
AP 2.30
B. P 3.00
C. P 2.40
D. P 2.50
Answer:
c. P 2.40
Step-by-step explanation:
P 100 spent, 50 pieces made. Therefore P2 a piece. 20% of P2 is .40. Therefore total is 2 + .40 = P2.40
Please Help No fake answers
Answer:
5.09 or 5.10(if u round up)
Step-by-step explanation:
When you convert √24 it will be 5.099
The decimal point must lie between 5 and 0
Hope this helps:)
how many meters are equal to 5,253 centimeters? use how the placement of the decimal point changes when dividing by power of 10 to help you
Answer:
[tex]52.53\ \text{meters}[/tex]
Step-by-step explanation:
[tex]1\ \text{meter}=100\ \text{centimeter}[/tex]
[tex]1\ \text{centimeter}=\dfrac{1}{100}\ \text{meter}[/tex]
In the question the quantity that is required to be converted to meters is 5253 centimeters.
[tex]5253\ \text{cm}=5253\times \dfrac{1}{100}\\ =52.53\ \text{meters}[/tex]
So, the required measurement in meters is [tex]52.53\ \text{meters}[/tex].
Please help! Answer and explanation please!
Answer:
12
Step-by-step explanation:
Since we can infer that those lines are the same length...
5x-15 = 3x+9
2x -15 = 9
2x = 24
x = 12
Select the correct product.
(x2 + 4x + 8)(2x - 1)
x2 + 8 x - 8
x2 + 6 x + 7
2 x3 - 7 x2 - 12 x - 8
2 x3 + 7 x2 + 12 x - 8
Answer:
2 x^3 + 7 x^2 + 12 x - 8
Step-by-step explanation:
To find the product you just had to simplify the expression.
Answer:Answer:
2 x^3 + 7 x^2 + 12 x - 8
Step-by-step explanation:
To find the product you just had to simplify the expression.
Find the length of side x in simplest radical form with a rational denominator
Answer is in the file below
tinyurl.com/wpazsebu
[tex]5 - 5 \times 2 + 11[/tex]
Answer:
6
Step-by-step explanation:
We use BODMAS/BIDMAS here.
First, we do 5 × 2, as multiplication comes before subtracting and adding.
5 × 2 = 10
Now we can just add and subtract.
5 - 10 = -5
-5 + 11 = 6
here's my face I just dyed my hair-
Answer:
that looks nice
Step-by-step explanation:
the hair looks cool
Three friends were comparing how much money they each have saved. Sami has $41.79. Charlotte has $38.91. Celeste has $41.68. Which list shows the names in order from least amount saved to greatest?
Sami, Celeste, Charlotte
Charlotte, Celeste, Sami
Celeste, Sami, Charlotte
Charlotte, Sami, Celeste
Answer:
B
Step-by-step explanation:
i got it right
.
* 6 cupcakes for $14
* 12 cupcakes for $30
* 24 cupcakes for $54
The unit price for the 6 cupcakes is
The unit price for the 12 cupcakes is
The unit price for the 24 cupcakes is
The lowest unit price is for
Answer:
≈$2.33$2.50$2.2524 cupcakes/$54Step-by-step explanation:
Answer:
$2.33
$2.50
$2.25
24 cupcakes/$54
Step-by-step explanation:
Find the value of x
Pls help
Answer:
x = 5
Step-by-step explanation:
the sum of the angles is 180
16x - 5 + 22x - 5 = 180
38x - 10 = 180
38x = 190
x = 5
Answer:
5
Step-by-step explanation:
As both angles situated in one straight line
➝There sum will be 180°
➝(16x-5)+(-5+22x)=180
➝16x-5-5+22x=180
➝16x+22x-5-5=180
➝38x-10=180
➝38x=180+10
➝38x=190
➝x=190/38
➝x=5
Elroy enjoys roller skating and weight training. Let X represent the number of hours he spends roller skating weekly,
and let y represent the number of hours he spends weight training weekly. The mean of X is 5 hours, and the mean
of Y is 7 hours. Which answer choice correctly calculates and interprets the mean of the sum, S = X + Y?
Answer:
[tex]\mathbf{\mu_S = 12 }[/tex]; [tex]\text{Elroy can expect to roller skate and weight train, on average, 12 }[/tex][tex]\text{hours in a typical week.}[/tex]
Step-by-step explanation:
Given that:
The mean [tex]\mu_X = 5[/tex]
The mean [tex]\mu_Y = 7[/tex]
Where;
[tex]S= X+ Y[/tex]
[tex]\mu_S = \mu _X + \mu_Y \\ \\ \mu_S = 5+7 \\ \\ \mu_S = 12[/tex]
Thus;
[tex]\mathbf{\mu_S = 12 }[/tex];[tex]\text{ Elroy can expect to roller skate and weight train, on average, 12 }[/tex][tex]\text{hours in a typical week.}[/tex]
Answer:
C ♡♡
Step-by-step explanation:
jus took the quiz !!!
PLSSS ANSWERRR HAVE TO HAVE IT DONE IN 10 MIN
Answer:
466.2 ft²
Step-by-step explanation:
10x24=240
1/2[tex]\pi[/tex]12²=226.194671
240+226.194671=466.194671
Which equation does this picture BEST represent?
A. 49 ÷ 7 = 7
B. 49 - 7 = 42
C. 7 - 7 = 0
D. 49 - 49 = 0
let: f(x)=x+1 and g(x)=x^2-2
find: f(x)•g(x)
Answer: x3+x2−2x−2
Step-by-step explanation: Use the given functions to set up and simplify f ( x ) ⋅ ( g ( x ) ) .
Brainliest or a thank you please! have a great day/night
A cylinder and a cone have the same height and radius. The height of each is 5 centimeters, and the radius is 2 centimeters. Calculate the volume of the cylinder and the cone (rounded to the nearest tenth). Use 3.14 as an approximation for n. PLS HELP 15 POINTS
Answer:
Step-by-step explanation:
volume of cylinder = πr²h = 3.14·2²·5 = 62.8 cm³
volume of cone = ⅓πr²h = ⅓·62.8 ≅ 20.9 cm³
The volume of the cone is 10.5 cm³. The volume of the cylinder is 31.4 cm³
What is the volume of the cylinder and the cone?
Volume of a cone = 1/3(nr^2h)
n = 22/7
r = radius
h = height
1/3 x 3.14 x 5 x 2 = 10.5 cm³
Volume of the cylinder = nr^2h
3.14 x 5 x 2 = 31.4 cm
To learn more about the volume of a cone, please check: https://brainly.com/question/13705125
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
QRS ~ ____
a. similar, SAS, QLK
b.similar, AA, LQK
c. not similar
d. similar, SSS, LQK
Answer:
. similar, AAA QLK
Step-by-step explanation:
<K=<L base angle of isosceles triangle
<R=<S base angle of isosceles triangle
<KQL=<RQS vertically opposite angle
so
<K=<L=<R=<S
so
∆QRS~QLK by AAA axiom
for similar all the corresponding angle should be equalif cos 25°=K , determine cos50°
Answer:
cos 50⁰ = cos 2.25⁰ = 2cos²25⁰ - 1 = 2K² - 1
Susie can run 4 2/3 miles per hour. If she runs for 3/4 hours how far will she have run?
Alanna is painting a border on a wall. The border consists of kite-shaped figures as shown.
3 kites are connected at 1 point.
Each kite measures 6 inches across and 12 inches long. The wall is 12 feet across. How many square inches of the wall will be covered with kites?
Answer:
its 864
Step-by-step explanation:
lil uzi vert is the best ;)
PLEASE MARK BRAINLIEST!!!!!!!!!!!!!Answer:
c, 864
Step-by-step explanation:
on edgunuity i got it right
120
If segment AC is a diameter of the circle what can you conclude about triangle ABC?
A)
It is right
B)
It is obtuse
It is scalene
D)
It is isosceles
Answer:
The triangle has an angle of 90º.
Chandler, Jamal, Allison, and Qi are given the following problem. In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? Each student writes an inequality to represent the situation. Chandler wrote 60 + 2g ≥ 92 Jamal wrote 60 + 2g > 92 Allison wrote 60 + 2g < 92 Qi wrote 60 + 2g ≤ 92 Whose inequality is CORRECT? A. Qi B. Chandler C. Allison D. Jamal
Answer:
The correct answer is B.
Step-by-step explanation:
Since Chandler, Jamal, Allison, and Qi are given the following problem: "In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? ", And each student writes an inequality to represent the situation:
Chandler wrote 60 + 2g ≥ 92
Jamal wrote 60 + 2g> 92
Allison wrote 60 + 2g <92
Qi wrote 60 + 2g ≤ 92
To determine whose inequality is correct, the following calculation must be performed:
92 - 60 = 32
32/2 = 16
Chandler: 60 + 2x16 ≥ 92
Thus, Chandler wrote the correct option.
20% of ___ is 10 pls help me ✌
Answer:
200
Step-by-step explanation:
i hope this is right if not sorry