Answer:
[tex]\frac{13}{204}[/tex] ≈ 0.0637
Step-by-step explanation:
Given: Two cards are drawn without replacement from a standard deck of 52 playing cards.
To find: probability of choosing a heart and then, without replacement, a spade
Solution:
Probability refers to chance of occurrence of any event.
Probability = Number of favorable outcomes ÷ Total number of outcomes
Total number of cards = 52
Number of hearts = 13
So,
probability of choosing a heart = [tex]\frac{13}{52}=\frac{1}{4}[/tex]
Number of remaining cards = [tex]52-1=51[/tex]
Number of spades = 13
Probability of choosing a spade = [tex]\frac{13}{51}[/tex]
Events consisting of choosing a heart and spade are independent.
So,
Probability of choosing a heart and then, without replacement, a spade =
Probability of choosing a heart × Probability of choosing a spade
= [tex]\frac{1}{4}(\frac{13}{51})=\frac{13}{204}[/tex] ≈ 0.0637
Let event A = The animal is a bird
Let event B = The animal can fly.
Which outcomes are in A and B?
A. {penguin, robin, sparrow, pelican, bat)
OB. {robin, sparrow, pelican}
O C. (penguin, robin, sparrow, pelican}
O D. (robin, sparrow, pelican, bat)
Answer:
B. {robin, sparrow, pelican}
Step-by-step explanation:
hope it helps you...
The outcomes are in A and B is,
⇒ {robin, sparrow, pelican}
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Let event A = The animal is a bird
Let event B = The animal can fly.
Hence, We get;
The outcomes are in A and B in which animal is a bird and also can fly.
Thus, The outcomes are in A and B is,
⇒ {robin, sparrow, pelican}
Hence, The outcomes are in A and B is,
⇒ {robin, sparrow, pelican}
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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This problem uses the statistical postulate to address diffusion. Consider eight particles, 4 black and 4 white. The particles are in a liquid with two halves separated by a permeable membrane, so each particle can be either on the left or the right of the membrane. According to the statistical postulate, every arrangement of the 8 particles is equally likely. Arrangements can be summarized according to which particles are on the left and which on the right, with the membrane represented by a vertical line |. Some possible arrangements are: BBBBWWWW, BWBW|BWBW, and WWW|BBW. How many different arrangements are there?
Answer:
There are 362,880 different arrangements.
Step-by-step explanation:
Arrangements of n elements:
The number of possible arrangements of n elements is given by:
[tex]A_{n} = n![/tex]
In this question:
Arrangements of 8 particles, plus the membrane, for which there are 9 possible positivos.
How many different arrangements are there?
[tex]T = 9A_{8} = 9*8! = 362880[/tex]
There are 362,880 different arrangements.
the arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence
Given:
In an arithmetic sequence,
[tex]a_1=2[/tex]
[tex]a_i=a_{i-1}-3[/tex]
To find:
The sum of the first 335 terms in the given sequence.
Solution:
The recursive formula of an arithmetic sequence is:
[tex]a_i=a_{i-1}+d[/tex] ...(i)
Where, d is the common difference.
We have,
[tex]a_i=a_{i-1}-3[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]d=-3[/tex]
The sum of first i terms of an arithmetic sequence is:
[tex]S_i=\dfrac{i}{2}[2a+(i-1)d][/tex]
Putting [tex]i=335,a=2,d=-3[/tex], we get
[tex]S_{335}=\dfrac{335}{2}[2(2)+(335-1)(-3)][/tex]
[tex]S_{335}=\dfrac{335}{2}[4+(334)(-3)][/tex]
[tex]S_{335}=\dfrac{335}{2}[4-1002][/tex]
[tex]S_{335}=\dfrac{335}{2}(-998)[/tex]
On further simplification, we get
[tex]S_{335}=335\times (-499)[/tex]
[tex]S_{335}=-167165[/tex]
Therefore, the sum of the first 335 terms in the given sequence is -167165.
Mike wants to find the volume of 4 basketballs. If each basketball has a radius of 4.5
in, what would the volume of 4 basketballs be?
&50+ E3 857=6180 150 #130 GELD Four girls have $5.00 to share equally. How much money will each girl get? Explain. What if four girls want to share $5.52 equally? Hov vill each
girl get? Explain.
answer is 5.00/4=1.25
Answer:
Step-by-step explanation:
(5 dollars)/(4 girls) = (5/4 dollars)/girl = (1.25 dollars)/girl
:::::
(5.52 dollars)/(4 girls) = (5.52/4 dollars)/girl = (1.38 dollars)/girl
An artist is painting a flower pot that each require 1/34 gallons of paint what is the maximum numbers of flowerpots the artist can paint with 3/4 gallons of paint.
A.12
B.16
C.24
D.32
E.42
Answer:
C
Step-by-step explanation:
Hello There!
We can easily calculate the amount of flower pots he can paint by dividing the amount of paint he has by how much paint each flower pot requires
[tex]\frac{.75}{\frac{1}{34} } =25.5[/tex]
The closest number is 24 therefore your answer is C
PLEASEEEEEEE HELP ME! WILL GIVE 20 POINTS AND BRAINLIEST
Answer:
a - 50/100
b - 9/4
c - 27/8
Step-by-step explanation:
Scale: 50/100
Ratio: 36/16 = 18/8 = 9/4
Ratio: 216/64 = 108/32 = 54/16 = 27/8
Find the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean.
Answer:
the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean. =26
Step-by-step explanation:
Mean=sum of observation/ No. of observation
={5+8+ 10+ 15 + 22}/5
=60/5=12
Sum of deviations
= |5- 12| + |8 – 12| + |10- 12| + |15- 12| + |22-12|
= 7+4+2+ 3+ 10
= 26
Early diagnosis and treatment of malaria are necessary components in the control of malaria. The gold-standard light microscopy test has high sensitivity but is a relatively time-consuming procedure especially during epidemics and in areas of high concentration. A new Cyscope fluorescence microscopy test has been developed and gives results in less than 10 minutes. The test has a specificity of 98.92% and a sensitivity of 95.48%.
Required:
a. What proportion of the people who test positive for Malaria would we expect to actually have the disease?
b. What proportion of people who test positive for Malaria will not have the disease?
Answer:
a) 0.9548
b) 0.0452
Step-by-step explanation:
Specificity of test:
The specificity of a test is the true negative rate, that is, the proportion of people without the disease that test negative.
Sensitivity of test:
The sensitivity of a test is the true positive rate, which is the proportion of people with the disease that test positive.
a. What proportion of the people who test positive for Malaria would we expect to actually have the disease?
This is the sensitivity of the test, which is of 95.48%, so the proportion if 0.9548.
b. What proportion of people who test positive for Malaria will not have the disease?
True positive rate is of 95.48%.
1 - 0.9548 = 0.0452
So the proportion of people who test positive for Malaria will not have the disease is 0.0452.
9 and 11 need help
Mark brainlist
I will do 9 only. You can do 11.
Question 9
sin(60) = x/8
sin(60)(8) = x
4•sqrt{3} = x
x^2 + y^2 = 8^2
(4•sqrt{3})^2 + y^2 = 64
16(3) + y^2 = 64
48 + y^2 = 64
y^2 = 64 - 48
y^2 = 16
sqrt{y^2} = sqrt{16}
y = 4
Do 11 the same way.
The sum of 15 and p is equal to 27.
Write the equation that represents the description.
The diagram below shows a circular pizza with a diameter of 16 inches. The pizza is in a square box with side lengths of 18 inches. In square inches, how much of the box is empty?Use π = 3.14 and round your answer to the nearest hundredth.
Answer:
pls do mark my answer as the brainliest..........
Step-by-step explanation:
portion of square empty = 256 - 153.86 = 102.14cm^2
What percent of 125 is 90? Write your answers in the blanks.
Answer:
72
Step-by-step explanation:
Answer:
The percent of 125 to give 90 is 72%
write the fraction 4/9 as an equivalent fraction with the given denominator 45
Answer:
answer is in the picture
Each question is worth 10 pts, I will do brainliest for the person who does both and follow pls help.
1. One scoop of ice cream weighs about 3 ounces. Last Thursday the ice-cream parlor used 18 pounds of ice cream. About how many scoops of ice cream were served last Thursday?
2. Doris's bill at the ice-cream parlor comes to $2.54. She realizes that she doesn't have any dollar bills, so she is paying with coins. She has 24 coins including quarters, dimes, nickels, and pennies. She has the same number of nickels as quarters and twice as many dimes as quarters. If she has 5 nickels, how many quarters, dimes, and pennies does she have?
Answer:
1. 6
2.
pennies = 9
nickels = 5
quaters = 5
dimes = 10
Step-by-step explanation:
1.
18/3 = 6
as we know that there are 18 scoops, and 3 per icecream, we can divide the two to get the number of ice creams
2.
5n
#n = #q; #q = 2#d, this is a simple ratio, you just plug in the variables to get
5n = 5q = 10d = 15 coins
24 - 15 = 9 pennies
pennies = 9
nickels = 5
quaters = 5
dimes = 10
Which is the graph of the line given below? *
y=2/3x-5
To make this graph the first step is to look at the slope-intercept form
- we see that 2/3 is the slope and -5 is the y-intercept (the point on the y-axis)
So, now you can find the y-intercept on the graph (-5) and make a dot there
Next, move right 3 and up 2 and repeat until you have enough points to make a line :)
graph below- hope this helps :)
5x−9≥11
Select one:
x≤−4
x≥4
x≤4
x≥−4
Answer:
[tex]x \geqslant 4[/tex]
Step-by-step explanation:
1) Add 9 to both sides.
[tex]5x \geqslant 11 + 9[/tex]
2) Simplify 11 + 9 to 20.
[tex]5x \geqslant 20[/tex]
3) Divide both sides by 5.
[tex]x \geqslant \frac{20}{5} [/tex]
4) Simplify 20/5 to 4.
[tex]x \geqslant 4[/tex]
Thus, the answer is Option B.
5x−9 ≥ 11
5x ≥ 11 + 9
5x ≥ 20
x ≥ 20/5
x ≥ 4
Done.
Can someone please help me?
I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!
Answer:
Step-by-step explanation:
Volume of a cylinder formula = πr^2h
r (radius) = 5/2 = 2.5
h (height) = 3
Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units
In this fraction, which number is the denominator? 1/15
A.
1
B.
15
Answer: B. 15
Step-by-step explanation: The number on the bottom of the fraction is always the denominator, therefore 15 is the denominator in the fraction.
Please help!!! Rachael deposits $1,500 into a retirement fund each year. The fund earns 8.2% annual interest, compounded monthly. If she opened her account when she was 19 years old, how much will she have by the time she is 55? How much of that amount will be interest earned?
Answer:$82,500
Step-by-step explanation:
find the area simplify your answer
Answer:
6x^2-8x-64
Step-by-step explanation:
the answer for solving a quadrilateral
is base times height
so the base is 2x-8 and the height is 3x+8
(2x-8)(3x+8)
expand
6x^2-8x-64
Hope that helps :)
Please give brainliest
This my lil sis work help her
Answer:
Option D is your answer
answer:
d
step-by-step explanation:
here i will show you how to convert the improper fraction 18/15 to a mixed number (aka mixed fraction). we start by setting up the fraction below.
[tex]\frac{18}{15}[/tex]
step 1 - find the whole number
calculate out how many times the denominator goes into the numerator. to do that, divide 18 by 15 and keep only what is to the left of the decimal point:
18 / 15 = 1.2000 = 1
step 2 - find the new numerator
multiply the answer from step 1 by the denominator and deduct that from the original numerator.
18 - (15 x 1) = 3
step 3 - put it together
keep the original denominator and use the answers from step 1 and step 2 to get this:
1 [tex]\frac{3}{15}[/tex]
good luck :)
i hope this helps
have a nice day !
Can someone please answer this question? It is from RSM. The first to answer will be marked brainliest
Answer:
16/20=0.8
Step-by-step explanation:
hope this helps
Answer:
I think it's the second one
-4x - 18 = 46
need help
Answer:
x=−16
Step-by-step explanation:
−4x−18=46
Add 18 to both sides
−4x−18+18=46+18
−4x=64
Divide both sides by -4
-4x/4=64/-4
x=−16
Answer:
x= -16
Step-by-step explanation:
Let's solve your equation step-by-step.
−4x − 18 = 46
Step 1: Add 18 to both sides.
−4x − 18 + 18 = 46 + 18
−4x = 64
Step 2: Divide both sides by -4.
−4x / −4 = 64 / -4
x=−16
Hope it helps T-T
How do I know how to do this
Answer: uh I want to help you but what work I don’t see your question or- did you put a picture...
Step-by-step explanation:
Answer:
Step-by-step explanation:
well when you need help on a question you can put (ask a question) or when you wanna help people you can answer there questions
find the perimeter of following figure. 2 yd ,2yd ,5yd and 4 yd.
Answer:
13yd
Step-by-step explanation:
Perimeter is all the side lengths added
whats the sum of 1/6+1/3+1/6
Answer:
2/3
Step-by-step explanation:
2/6 is equal to 1/3 so I added both 1/6's together first and then added the resulting 1/3 with the other 1/3 and got 2/3
you could also convert the 1/3 to 2/6 and add all the sixths together to get 4/6 which is equal to 2/3
hope this helps chu<3
Answer:
4/6.
Step-by-step explanation:
1/6+1/6=2/6 1/3 converts into 2/6 so 2/6+2/6=4/6
what is the volume of a rectangular prism wi the the dimensions base 5/8 cm, height 2/3 cm, and length 3/4 cm?
Answer:
5/16 cm³Step-by-step explanation:
Given that:
Width (W) = 5/8 cmHeight (H) = 2/3 cmLength (L) = 3/4 cmFind the volume of the cuboid!
Volume equation =
W × H × L =
5/8 × 2/3 × 3/4 =
(5×2×3)/(8×3×4) =
30/96 =
5/16 cm³The volume = 5/16 cubic centimetres
____________________
#IndonesianPride - kexcvi
The television show 50 Minutes has been successful for many years. That show recently had a share of 15, which means, that among the TV sets in use, 15% were tuned to 50 Minutes. An advertiser wants to verify that 15% share value by conducting its own survey, and a pilot survey begins with 15 households have TV sets in use at the time of a 50 Minutes broadcast.
Required:
a. Find the probability that none of the households are tuned to Lindsay and Tobias. (Round to three decimal places as needed)
b. Find the probability that at least one household is tuned to Lindsay and Tobias.
c. Find the probability that at most one household is tuned to Lindsay and Tobias.
d. If a most one household is tuned to Linday and Tobias, does it appear that the 15% share value is wrong? Why or wh not?
Answer- b
Step-by-step explanation:
its b
Write a detailed savings plan for Sookie to meet her goal ?