Answer:
Probability of the chosen T-shirt not being black will be equal to 9/10
Step-by-step explanation:
In order to solve this we need to understand that probaility is equal to the number of those outcomes that we want divided by the total number of outcomes. In our case the total number of outcomes is 20 (2 + 7 + 11) which is the total number of T-shirts, and the number of outcomes that are favorable to us is equal to 18 (outcomes without a black T-shirt). Therefor probability of the chosen T-shirt not being black will be equal to...
18/20 = 9/10
gordon types 1,972 words in 29 minutes
Gordon types _______ words per minute
PLSSS HELPP ME
Answer:
68 words
Step-by-step explanation:
To find how many words Gordon types per minute :
1972 ÷ 29 = 68 #
The Bui family consists of 2 adults and 3 children. They spent $36 for zoo tickets. The equation 2x + 3y = 36 describes the cost for x adult tickets and y child tickets. Part of the equation is graphed below. What is the y-intercept?
On a coordinate plane, a line goes through points (6, 8) and (12, 4).
(0, 12)
(0, 18)
(12, 0)
(18, 0)
Answer: (0, 12)
Step-by-step explanation:
2x + 3y = 36
2(0) + 3y = 36
3y = 36
3/3 36\3
= 12
On edge
Answer:
a
Step-by-step explanation:
Convert 88° to radians and round to 2 decimal places.
Answer:
1.54
Step-by-step explanation:
88° = 88° × π ÷ 180
= 88° × 3.142 ÷ 180
= 88° × 0.0175
= 1.54
For the system of equations:
-4s + 2t = -5
8s - 6t=7
What is the value of s?
Answer:
s = 2
Step-by-step explanation:
I'll be using the substitution method.
The battery standby duration (in hours) of a new model of cell phone is known to be normally distributed. Ten pieces of such new model of cell phone supplied from the manufacturer are randomly chosen and the actual standby durations are recorded as below:
48.2 47.8 45.6 47.2 49.3
51.2 44.2 45.4 49.2 43.6
(a) Calculate the unbiased estimates of population mean and standard deviation of battery standby duration (in hours) of the new cell phone.
(b) The manufacturer claimed that this new model of cell phone has the mean battery standby duration of longer than 46.5 hours. Test at 1% significance level if this claim is true.
x = number of hours
want to find probability (P) x >= 13
x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.
P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
To convert that to percentage, multiply 100, to get 84.13%
How to solve this question please
Answer:
answered by g a u t h m a t h
Step-by-step explanation:
Which value of x satisfies the equation
Answer:
9
Step-by-step explanation:
5/3 (x + 1/2) = 95/6
5/3 × 1/2 = 5/6
5/3x + 5/6 = 96/6
-5/6 -5/6
---------------------------
5/3x = 90/6
5/3x = 15
------ ----
5/3 5/3
x = 9
Calculate using order of operations.
7.8+6.2×(4-1.5)×4
Answer:
I believe that the answer is 69.8
How much is the bill for a person who uses 560 kwh in a month?
Answer:
An electric company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used, x 200 The function b(ar) = { 0.102, 0.15(x - 200) +20, 200 determines the bill How much is the bill for a person who uses 800 kWh in a month?
Ray is making his reward winning lemonade recipe for a party he is comparison shopping for lemons at super pioneer supermarket he can buy 4 lemons for 1.60 ray visits keyfood and found 3 lemons cost 1.80 use the table below to compare the values
Step-by-step explanation:
Super Pioneer:
If at the Super Pioneer Store he can get 4 lemons for 1.6 dollars, 1 lemon should cost:
4: 1.6
1:. X
4x = 1.6
X = 1.6/4
X = 0.4
1 lemon costs 0.4 dollars
How many lemons could we get from $2.4?
1 : 0.4
X : 2.4
0.4x = 2.4
X = 2.4/0.4
X = 6
2.4 dollars would get you 6 lemons
8 lemons would cost= 8x0.4 = $3.2
Keyfood Supermarket
3 lemons cost 1.8$, so how mucb does 1 lemon cost?
3: 1.8
1 : X
3x = 1.8
X = 1.8/3
X = 0.6
If 1 lemon costs 0.6, how many lemons could you buy from $3?
1: 0.6
X : 3
3 = 0.6x
X = 3/0.6
X = 5
If 1 lemon cost 0.6$, 8 lemons would cost:
8 x 0.6 = $4.8
(I have also edited the answers on the table, but sorry if they seem a bit messy)
Answered by G a u t h m a t h
What is the base area of the cone?
Answer:
Step-by-step explanation:
In order to find the area of the circle base, we need the radius, and we don't have it. We'll use the volume to find the radius, as follows:
[tex]V=\frac{1}{3}\pi r^2h[/tex] and fill in the givens:
[tex]75=\frac{1}{3}\pi r^2(5)[/tex] and solve that for r;
[tex]r=\sqrt{\frac{3(75)}{5\pi} }[/tex] so
r = 3.784698783 and plug that in for the radius to find the area of the circle base:
[tex]A=\pi r^2[/tex] so
[tex]A=\pi (3.784698783)^2[/tex] gives you that
A = 45 meters squared, exactly. No decimal.
Is this a function or no ?
How much should 5x³+3x²-2x+1 be increased to get 6x² +7
Answer:
-5x³ + 3x³ + 2x + 6
Step-by-step explanation:
if that is truly the complete problem description, then the only possible answer I can think of, that makes any sense :
what do I need to add to 5x³+3x²-2x+1 to get 6x²+7 ?
the answer is
6x²+7 - (5x³+3x²-2x+1) = 6x²+7-5x³-3x²+2x-1 =
= -5x³ + 3x³ + 2x + 6
누가 좀 도와주세요 help
[tex] \sin(36) - \cos(54) \\ \tan(80) - \cot(10) [/tex]
Answer:
Step-by-step explanation:
Sin (90 - ∅) = Cos ∅
90 -54 = 36
Sin 36 = Sin (90 - 54)
= Cos 54 --------->(I)
Now, Sin (36) - Cos (54) = Cos 54 - Cos 54 {From 1}
= 0
2) tan (90-∅) = Cot ∅
Tan 80 = Tan (90 - 10)
= Cot 10 ----------(II)
Tan 80 - Cot 10 = Cot 10 - cot 10 -----------(from (II)}
= 0
Are you korean?
≧∇≦
ฅ'ω'ฅ
What are the simplest forms for red, blue, and green line
Answer:
Red line: y=-1/2x+1 Blue line: y=-1/3x-2 Green line: y=x
Step-by-step explanation:
f(x) red line m=-1/2 b=1
g(x) blue line m=-1/3 b=-2
h(x) green line m=1 b=0
Hotdogs come in packages of 10, while rolls come in either 8 or 12. What is the smallest number of packages of each you have to buy in order to have the same number of hotdogs and rolls?
Please explain the answer.
if the rolls come in 8
then we check which multiples 8 and 10 have in common which is 40
8,16,24,32,40
10,20,30,40
which is 5 packages of rolls and 4 pack of hot dogs
if the rolls are 12
we check the multiples which they have in common
12,24,36,48,60
10,20,30,40,50,60
which is 5 packages of rolls and 6 pack of hot dogs
Pls mark as brainliest
Out of a class of 150 one third opted for Germany two fifth for Italian and rest for French. find how many opted for French
Answer:
40
Step-by-step explanation:
Total is 150
Germany=1/3 *150 = 50
Italian= 2/5 * 150 = 60
Total - Germany- Italian= French
150 - 50 -60= 40
The Yogurt Packaging company is now re-designing their factory. They are going to construct a building in
the shape of a square box. Their contractor has told them that the diagonal braces needed to make the roof
are 150 feet long.
What would be the floor plan of the building? Label the diagonal braces
Answer:
[tex]\sqrt{\frac{150^2}{2}}=75\sqrt{2}\quad \left(\mathrm{Decimal:\quad }\:106.06601 \right)[/tex]
Step-by-step explanation:
[tex]a^{2} +b^{2} = 150^{2}[/tex]
a=b
[tex]2a^{2} = 150^{2}[/tex]
[tex]a =\sqrt{150^{2}/2 }[/tex]
Answer:
Step-by-step explanation:
We are using a top down view. We have a square building with side length s. The diagonal is 150 ft
Using the Pythagorean theorem
s^2 + s^2 = 150^2
2s^2 = 22500
s^2 =11250
Taking the square root of each side
sqrt(s^2) = sqrt(11250)
s = sqrt(6225*2)
s = 75 sqrt(2)
Identify the recursive formula for the sequence –3, 9, –27, 81, . . . .
Answer:
Hello,
Answer A
Step-by-step explanation:
[tex]a_n=(-3)*a_{n-1}\\a_1=-3\\Answer\ A[/tex]
Option A is correct -
[tex]f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)\;\;n > 1}} \right.[/tex]
We have a sequence : –3, 9, –27, 81, . . . .
We have to find the recursive formula for this sequence.
What is the formula to find the recursive of a Geometric sequence?The formula to find the recursive of geometric sequence is -
[tex]a_{n} =ra_{n-1} \;\;\;\;for\;n\geq 2[/tex]
We have the following sequence -
–3, 9, –27, 81, . . . .
First let's see if it is a geometric sequence or not. For a sequence to be a geometric sequence -
[tex]\frac{9}{-3} =\frac{-27}{9} =\frac{81}{-27}= -3=r[/tex]
Hence, it is a geometric sequence with r = -3.
Substituting the value of r in the formula of recursive, we get -
[tex]a_{n} = -3a_{n-1}[/tex] and [tex]a(1)=-3[/tex]
Hence, Option A is correct.
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graph the line that passes through the points (-3,-7) and (-2,-7) and determine the equation of the line
Answer:
y = -7
Step-by-step explanation:
y2 - y1 / x2 - x1
-7 - (-7) / -2 - (-3)
0/1
= 0
y = 0x + b
-7 = 0(-2) + b
-7 = 0 + b
-7 = b
Two supplementary angles measure (7x + 11) and (14x + 1)º. What is
the measure of the smaller angle?
(1) 40.5°
(2) 67°
(3) 108°
(4) 123°
Answer:
67 degrees (Answer 2)
Step-by-step explanation:
These two angles must sum up to 180 degreess because they are supplementary. Then:
7x + 11 + 14x + 1 = 180, or
21x + 12 = 180, or
21x = 168
Solving for x, we divide both sides by 21. This results in x = 8.
The measure of the smaller angle is 7x + 11, which here is 7(8) + 11 = 67 degrees (Answer 2).
Once upon a time there was a farmer whose family raised pigs and chickens. If you counted 24 heads and 80 feet, how many chickens were there? How many pigs were there?
Answer:
Number of chickens = 8
Number of pigs = 16
Step-by-step explanation:
Let the pigs = p
Let the number of chickens = c
Number of heads = 24
p + c = 24 ----------------(I)
p= 24 - c
Number of feet = 80
Chicken has 2 legs and pig has 4 legs
4p + 2c = 80 --------------(II)
Substitute p = 24 - c in equation (II)
4*(24 - c) + 2c = 80
4*24 - 4*c + 2c = 80
96 - 4c + 2c = 80 {Combine like terms}
96 - 2c = 80 {subtract 96 from both sides}
-2c = 80 - 96
-2c = -16 {Divide both sides by (-2)}
c = -16/-2
c = 8
Plugin c = 8 in equation (I)
p + 8 = 24
p = 24 - 8
p = 16
Write f(x)=5 -(x – 4)2 in the form f(x)= ax+bx+c.
Answer:
[tex]f(x) = 5 - (x - 4)^2[/tex].
Step-by-step explanation:
[tex]f(x) = 5 - (x - 4)^2[/tex]
[tex]f(x) = 5 - (x-4)*(x-4)[/tex]
[tex]f(x) = 5 - (x^2 - 4x - 4x + 16)[/tex]
[tex]f(x) = 5 - (x^2 - 8x + 16)[/tex]
[tex]f(x) = 5 - x^2 + 8x - 16[/tex]
[tex]f(x) = -x^2 + 8x - 11[/tex].
Hope this helps!
Determine the probability (as a decimal rounded to the nearest hundredth) of a normal random variable with a mean of three and a standard deviation of four realizing a value that is strictly greater than 1.9
Answer:
Step-by-step explanation:
On a normal distribution table with z scores of 0 as the mean and the standard deviations going to the right and to the left, 1.9 on the normal curve where 3 is the mean falls at -.275 on the normal curve where 0 is the mean. I used the normal distribution z table for negative values to get that .39165 lies to the left of -.275, which means that 1 - .39165 of the data lies to the right.
The probability that the value is greater than 1.9 is .60835, or as a percentage, 60.835%.
please answer! i need the answers in order to move on:)
Answer:
1) [tex](\sqrt{25})^{2}[/tex]
[tex]=25[/tex][tex]=5^{2}[/tex]------------
2)
[tex]\sqrt{3}=3^{1/2}[/tex][tex]\sqrt[4]{3} =3^{1/4}[/tex][tex]\sqrt[3]{2} =2^{1/3}[/tex][tex]\sqrt[5]{2} =2^{1/5}[/tex]-------------
3)
[tex](\frac{49}{64} )^{1/2}[/tex]
→ [tex][\frac{7^{2} }{8^{2} } ]^{1/2}[/tex]
→ [tex][\frac{7}{8} ]^{2\times 1/2}[/tex]
→ [tex]\frac{7}{8}[/tex]
------------
4)
[tex]\sqrt[3]{\frac{27}{125} }[/tex]
[tex]\frac{\sqrt[3]{27} }{\sqrt[3]{125} } =\frac{\sqrt[3]{3^{3} } }{\sqrt[3]{5^{5} } }[/tex]
[tex]=\frac{3}{5}[/tex]
--------------
5)
[tex]32^{1/5}[/tex]
[tex]=(2^{5} )^{1/5}[/tex]
[tex]=2^{5\times1/5}[/tex]
[tex]=2[/tex]
--------------
OAmalOHopeO
Is the expression x^3·x^3·x^3 equivalent to x^3·3·3? Why or why not? Explain your reasoning. Please show and explain all steps thoroughly. Thank you for your time and help. There is a screenshot of the problem in case my typed version of the problem is not as understandable.
The two expressions are not equivalent because one of the the rule of exponents is that when the bases of the exponents are the same (in this case, they're all x) then you can add the powers. Thus, the alternative expression should be x^(3+3+3).
Solve inequality problem (urgent help please)
Answer:
B
Step-by-step explanation:
|3m-2|=>1
1 <= 3m-2 or 3m-2 <= -1
3 <= 3m or 3m <= 1
1 <= m or m <= (1/3)
SEE QUESTION IN IMAGE
Answer:
See belowStep-by-step explanation:
(b)
The table is attached(i)
The graph is attached(ii)
(a) Cumulative frequency is 500, median is at 249, 250, the horizontal line from point 250 on y-axis intersecting the graph at approximately 52%, this is the median
(b) Vertical line from the 45% mark intersects the graph at approximately 177th point. The number of candidates passed the test:
500 - 177 = 323(iii) P(pass) = 323/500 = 0.626 or 62.6%
Does anyone know the answer
Answer:
It's False Because Hypotenuse will be the longest side of leg here
What is the range of the function graphed below?
у
1
e
6
2
х
-6
8
2
-6-
-8
A. -< y < 2
B.
-00 < y < -2
C. -
D
-2 < y < 0
Answer:
-infinity < y ≤ 2
Step-by-step explanation:
A is correct. The largest value y can have is 2, whereas there is no smallest value. -infinity < y ≤ 2
The range of the given graph will be -∞ ≤ y ≤ 2. The correct option is A.
What is the range?The collection of all a function's outputs constitutes its range. Example: Let's take a look at the function f: AB, where f(x) = 2x and A and B each represents a collection of natural numbers. The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.
The range of the function is -∞ ≤ y ≤ 2. When we move towards the left side the value of y reaches negative infinity and when we move to the right the value of y reaches the value of 2.
It means that the range of the function is varying from negative infinity to a positive value of 2.
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