Answer:
99 / 324,870 or 3%
Step-by-step explanation:
there are 12 face cards out of a total of 52 cards
probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]
The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Calculation of the probability:Since 5 cards are drawn at random from a standard deck
Also, we know that
there are 12 face cards out of a total of 52 cards
So here the probability be like
[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]
= [tex]99 / 324,870[/tex]
Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Learn more about probability here: https://brainly.com/question/21102470
The sum of three consecutive even integers is 486. find all three integers
160 and 162 and 164
Step-by-step explanation:
To find the three even integers, use the equation
x + (x + 2) + (x + 4) = 486
Then solve:
Add the common terms (the xs and numbers)
3x + 6 = 486
Subtract the 6 from both sides
3x = 480
Then divide
x = 160
So 160 + (160 + 2) + (160 + 4) = 486
160 + 162 + 164 = 486
So your three consecutive even integers are
60% of what number is 33?
60 percent (calculated percentage %) of what number equals 33? Answer: 55.
Answer:
55 :)
Step-by-step explanation:
find the height of the cylinder whose volume is 1.54 cubic m and radius of the base is 70 cm
need full solution or I'll report
find the height of the cylinder whose volume is 1.54 cubic m and radius of the base is 70 cm
Required diagram :
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{ 70 \: cm}}\put(9,17.5){\sf{h}}\end{picture}[/tex]
Solution :For a cylinder having a radius r and a height h ;
Volume Of Cylinder :
π r² .Here , the radius of the cylinder is given as 70 cm and the volume is 1.54 m³ .
Converting ;
1 m³ = 1 × 10⁶ cm³ .> 1.54 × 10⁶ cm³ .> 1540000 cm ³.> π r² h = 1540000> 22/7 × 70 × 70 × h = 1540000> 22 × 10 × 70 h = 1540000> 15400 h = 1540000> h = 100 cm = 1 m.The height of the cylinder is 100cm.=1m.
10 MINUTES UNTIL I HAVE TO TURN TEST IN
HELP PLS :)
Answer:
10) Total Discount = $15 dollars; New Amount = $60 dollars.
11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.
12a) Percent Increase from $100 to $150: 50% increase.
12b) Percent Decrease from $150 to $100: 33.33% decrease.
Step-by-step explanation:
I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)
. A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via email. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected
Answer:
This spyware is detected 66% of the time.
Step-by-step explanation:
We have these following percentages:
70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.
30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.
What percentage of times is this spyware detected
Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So
[tex]0.6*0.7 + 0.8*0.3 = 0.42 + 0.24 = 0.66[/tex]
This spyware is detected 66% of the time.
What is the area,in square yards of the rectangle shown down below 12yd 15yd Answer choices are 225,54,180,27
Answer:
area of rectangle =length ×width
area of rectangle=12yd×15yd
area of rectangle=180yd²
Simply (2^3)-2
0 - 1/64
0 1/64
0 2
0 64
The correct answer is,
[tex] \frac{1}{64} [/tex]
Answer:
1/64
Step-by-step explanation:
when exponents are separated by parentheses, multiply them
so (2³)^-2 = 2^-6
whenever an exponent is negative, change into fraction form with one as the numerator and the other term goes into the denominator and the exponent now becomes positive
2^-6 = [tex]\frac{1}{2^6}[/tex] = [tex]\frac{1}{64}[/tex]
Find the perimeter of a triangle with side lengths: (y + 5) ft, (3y + 5) ft, and (4y - 3) ft.
Answer:
8y + 7
Step-by-step explanation:
add them: y + 5 + 3y + 5 + 4y - 3 = 8y + 7
The area of a rectangle is 2- 3/4 inch. ^2 If the length of the rectangle is 1/2 inch, what is the measurement of the width?
Answer:
The width of the rectangle = 1.15 inches
Step-by-step explanation:
Explanation:-
Given that the length of the rectangle = [tex]\frac{1}{2} inch[/tex]
The area of the rectangle = [tex]\frac{2.3}{4}[/tex] inch²
We have to find the width of the rectangle
The area of the rectangle = length × width
[tex]\frac{2.3}{4} = \frac{1}{2} X width[/tex]
⇒ 2 × 2.3 = 4× width
⇒ 4.6 = 4 w
⇒ w = 1.15 inches
Final answer:-
The width of the rectangle = 1.15 inches
Sana bought a dress for $32.99 and two purses. The total cost for the three items was $57.97. What was the cost for one purse?
Answer:
$12.49
Step-by-step explanation:
cost of two purses = $57.97 - cost of dress = $57.97 - $32.99 = $24.98
cost of one purse = $24.98 ÷ 2 = $12.49
7. Chris used some square tiles to make an array. He made 8 equal rows
and had 3 tiles left over. He started with more than 80 tiles, but less than 100.
a) How many tiles did he start with? Find more than one answer.
Show your steps.
Answer:
83 and 91
Step-by-step explanation: 10 rows of 8.
8x10 =80
80+3=83
Next option 11 rows of 8
8x11=88
88+3=91
Find the area of the following shape:
Answer:
Step-by-step explanation:
Area:=45
You have inherited land that was purchased for $65,000 in 2015. The value of the land
increased by approximately 5% per year. What is the approximate value of the land in
the year 2030?
Answer:
in 2030 the land will aproxmatly be worth $113750
Step-by-step explanation:
The sum of the quotients of 25x2/5x and the quotient of 8x2/x is
What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?
Answer:
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Step-by-step explanation:
According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:
[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)
Where:
[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.
[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.
[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].
If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:
[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]
[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]
[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]
[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]
[tex]c \approx 3.195[/tex]
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Answer:
C. 1/2(e^2-1)
Step-by-step explanation:
Edge AP Cal 2022
Suppose you have $20 in your bank account. You start saving $5 each week. Your friend has $5 in his account and is saving $10 each
week. Assume that neither you nor your friend makes any withdrawals.
After how many weeks will you and your friend have the same amount of money in your accounts? How much money will each of you
have?
Answer:
The answer is after 3 weeks you will have the same amount of money
Step-by-step explanation:
5x + 20 = 10x +5
5x - 10x = 5 -20
-5x = -15
x = -15/-5
x = 3
Marine biologists are concerned that pollution from a nearby factory has affected the health of local sea urchins. Which of the following is most likely to be the population of interest?
Choose the correct answer below
A 4 sea urchins with abnormal coloration
B. All of the sea urchins near the plant
C. All of the sea urchins in the entire ocean
D. 20 sea urchins gathered from tidal pools
Answer:
its C. all of the sea urchin in the entire ovean is the most likely to be the population of interest
The population of interest will most likely be option B. all of the sea urchins near the plant.
The term 'population of interest' refers to the group or number from which inference is made or done for research purposes. And from this group, the researcher will try to draw conclusions from his/her study.
A population of interest is generally taken for studies or statistical references.In the given scenario, the biologists found that the nearby factory is directly affecting the health of the local urchins.And in conducting the research, the population of sea urchins near the plant will be taken or regarded as the population of interest.For the marine biologists to determine the extent of the factory's effect on the sea urchins, they would consider or take the sea urchins near the factory population as the population of interest. Thus, the correct answer is option B.
Learn more about population of interest here:
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Which point is a solution to the equation 2x - y = 4?
Answer:
2x= 1 /2 y+ 2
Step-by-step explanation:
Solve for x.
2x−y=4
Add y to both sides.
2x−y+y=4+y
2x=y+4
Divide both sides by 2.
2x /2 = y+4 /2
x= 1/ 2 y+2
The required point that is the solution to the equation 2x - y = 4 is at (2, -4)
In order to get the solution to the equation, we will need to get its x and y-intercept.
x- intercept is the point where y is zero.
Given the equation 2x - y = 4
If y = 0
2x - 0 = 4
2x = 4
x = 4/2
x = 2
Get the y-intercept
y intercept is the point where x = 0
if x = 0
2(0) - y = 4
-y = 4
y = -4
Hence the y-intercept is -4
The required point that is the solution to the equation is at (2, -4)
Learn more here: https://brainly.com/question/24609929
Danielle worked at the warehouse after school. She earned $9.25 per
hour stacking boxes. The total earnings, e, is dependent on the
number of hours worked, h. Which equation correctly represents the
situation?
Oe= 9.25h
Oh=9.25e
od=
9.25
h
Oh=
9.25
d
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
PLEASE HELP YOU WILL HET 100 POINTS AND BRAINLIEST IF ANSWERED RIGHT
Answer:
see belowStep-by-step explanation:
to understand thisyou need to know about:algebraPEMDASlet's solve:given function:
[tex] \quad \rm\: f(x) = - 2x +8[/tex]
when x is 0
[tex] \sf \:f(0) = - 2.0 + 8[/tex]
simplify multiplication:
[tex] \sf f(0) = 8[/tex]
when x is 3
[tex] \sf f(3) = - 2.3 + 8[/tex]
simplify multiplication:
[tex] \rm \: f(3) = - 8 + 8[/tex]
add:
[tex] \rm \: f(3) = 0[/tex]
when x is 6
[tex] \quad \rm\: f(6) = - 2.6 +8[/tex]
simplify multiplication:
[tex] \quad \rm\: f(6) = - 12 +8[/tex]
simplify addition:
[tex] \quad \rm\: f(6) = -4[/tex]
when x is 9:
[tex] \quad \rm\: f(9) = - 2.9 +8[/tex]
simplify multiplication:
[tex] \quad \rm\: f(9) = - 18 + 8[/tex]
simplify addition:
[tex] \quad \rm\: f(9) = - 10[/tex]
Answer:
when x =0
f(x)=-2×0+8=8
when x =3
f(x)=-2×3+8=2
when x =6
f(x)=-2×6+8=-4
when x =9
f(x)=-2×9+8=-10
PLZ HELP WILL GIVE BRAINLEST
Answer:
The first one (Cedric is correct because he used the inverse of subtraction and added 4.5)
Step-by-step explanation:
First....I'll do it my way
z - 4.5 = -1.5
Add 4.5 on both sides
z - 4.5 + 4.5 = -1.5 + 4.5
z = 3
This should be our answer.....and so who did it right?
Cedric did
Which is the true statement?
Cedric is correct because he used the inverse of subtraction and added 4.5
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Can someone help!!!!
Answer:
12.7=x
Step-by-step explanation:
y=mx+b
10=.65x+1.75
-1.75 -1.75
8.25=.65x
.65 .65
12.69=x round up
12.7=x
Suppose that the functions g and f are defined as follows.
g(x)=-3+2x^2
f(x)=9-6x
a. Find (g/f)(2)
b. Find all values that are NOT in the domain of g/f
If there is more than one value, separate them with commas.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given:
[tex]\to g(x)= -3+2x^2 \\\\\to f(x)=9-6x[/tex]
Calculating the value of [tex](\frac{g}{f})(2)[/tex]:
[tex]\to (\frac{g}{f}) (2)= (\frac{g(x)}{f(x)}) \times (2)[/tex]
[tex]=\frac{2x^2-3}{9-6x} \times 2\\\\=\frac{2\cdot 2^2-3}{3(3-2\cdot 2)} \\\\=\frac{2\cdot 4-3}{3(-1)}\\\\ =\frac{8-3}{-3}\\\\ =\frac{5}{-3}\\\\ = - \frac{5}{3}\\\\[/tex]
x=[tex]- \frac{\sqrt{3}}{2}[/tex] and x=[tex]\frac{\sqrt{3}}{2}[/tex] are not in the domain.
Domain: [tex]x \belong (- \infty, -\frac{\sqrt{3}}{2})\cup (- \frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{2} )\cup (\frac{\sqrt{3}}{2}, \infty)[/tex]
Here are the first four terms of a number sequence.
8
14
20
26
Write down the next term of the number sequence and explain how you found your answer
Aleesia has a box of 52 muffins. she wants to put out plates that each have the same numbers of muffins. what is one possible way Aleesia could put an equal number of muffins on each plate so there are no muffins left over?
Just see what even number 52 can go into
Help plz:)))I’ll mark u Brainliest
Answer:
x = 12
Step-by-step explanation:
R the midpoint of overline OP and overline QR perpendicular to OP In the diagram below. 20 in. 26 in. Q Find the length of QR .
Answer:
24
Step-by-step explanation:
Does anybody know the answer to this
Answer: I believe it's b
Step-by-step explanation:
\pi = 3.14159265...
It is most likely b
Kelly bought 3 pounds of chicken for 6.99 per pound 20 pounds of dog food 1.95 Per pound prices include the sales tax Kelly gave the cashier $60 how much change should Kelly receive
Answer: 3 cents
Step-by-step explanation: multiply the price per pound by the amount of pounds purchased for both items and add them together. Then take the amount paid and subtract the total from what was paid to get the change.
Combine the like terms to create an equivalent expression. \large{7k-k+19}7k−k+19
Answer:
The simplified expression is 6k+19 .
Step-by-step explanation: