Answer:
a. 0.96 = 96% probability that the number is odd.
b. 0.48 = 48% probability that the sum of the digits is odd.
c. 0.24 = 24% probability that the number is greater than 70.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We are given the prime numbers less than 100, they are:
2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
There are 25 prime numbers less than 100.
a. The number is odd
Of the 25, 24 are odd, only the number 2 is even. So
24/25 = 0.96 = 96%
0.96 = 96% probability that the number is odd.
b. The sum of the digits is odd
The sum of the digits is odd for:
3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89. So for 12 of them
12/25 = 0.48 = 48%
0.48 = 48% probability that the sum of the digits is odd.
c. The number is greater than 70
71, 73, 79, 83, 89, 97. 6 of them
6/25 = 0.24 = 24%
0.24 = 24% probability that the number is greater than 70.
A) The probability that one of the numbers is odd is; 96%
B) The probability that the sum of the digits is odd is; 48%
C) The probability that the number is greater than 70 is; 25%
We are given the prime numbers;
2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
This is a total of 25 prime numbers.
Thus; N = 25
A) The number of odd numbers are 24.
Thus,probability of selecting an odd number is;
P(odd number) = 24/25
P(odd number) = 0.96 or 96%
B) The numbers that their sum is odd are:
3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89
Kindly note that the single numbers are added to zero to make them odd too.
Thus there are 12 of them that their sum are odd.
P(sum is odd) = 12/25
P(sum is odd) = 0.48 or 48%
C) The numbers that are greater than 70 from the list are 71, 73, 79, 83, 89, 97. This is a total of 6 numbers.
Thus;
P(number is greater than 70) = 6/25
P(number is greater than 70) = 0.25 or 25%
Read more about probability of selection of numbers at; https://brainly.com/question/251701
Evaluate if c=4 and a=2
2-C+a
Answer:
0
Step-by-step explanation:
2 - c(4) is -2. -2 + a(2) is 0.
Hope it helps!
Write an explicit formula for the nth term or the sequence 8,-24, 72
Answer:
[tex]T_n =-\frac{8}{3} (-3)^{n}[/tex]
Step-by-step explanation:
Given
[tex]Sequence: 8, -24, 72[/tex]
Required
Determine the n term
The above sequence is geometric. So, we calculate the common ratio first:
[tex]r = \frac{T_2}{T_1}[/tex]
[tex]r = \frac{-24}{8}[/tex]
[tex]r = -3[/tex]
The equation is then calculated using:
[tex]T_n = ar^{n-1}[/tex]
Where
[tex]a = T_1 = 8[/tex]
and
[tex]r = -3[/tex]
The equation becomes:
[tex]T_n =8 * (-3)^{n-1}[/tex]
Apply law of indices:
[tex]T_n =8 * (-3)^{n} * (-3)^{-1}[/tex]
[tex]T_n =8 * (-3)^{n} * \frac{1}{-3}[/tex]
[tex]T_n =-8 * (-3)^{n} * \frac{1}{3}[/tex]
[tex]T_n =-\frac{8}{3} * (-3)^{n}[/tex]
[tex]T_n =-\frac{8}{3} (-3)^{n}[/tex]
THIS IS A BREAK QUESTION
what is your favorite school subject
Answer:
Art
Step-by-step explanation:
...................
Answer:
Music
Step-by-step explanation:
Have a good rest of your day!
Write the slope intercept form of the equation of the line through the given point with the given slope.
through: (1.-3), slope = -1
Answer:
y=-x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=-1(x-1)
y+3=-1(x-1)
y=-x+1-3
y=-x-2
Submit the worksheet with your constructions to your teacher to be graded. Click on the SAVE button to indicate that the assignment is complete.
Answer:
mom?
Step-by-step explanation:
Complete the recursive formula of the arithmetic sequence-3,-1,1,3,
b(1)=
b(n) = b(n-1)+
Answer:
b(1) = -3
b(n) = b(n-1) + 2
Step-by-step explanation:
Notice that there is a common difference in the sequence : each term is the previous one PLUS 2. Then the common difference "d" is 2 making this sequence an arithmetic sequence
b(1) = -3
b(n) = b(n-1) + 2
Evaluate the expression 4x+3-x for
x=8
PLEASE HELP ME!
Answer:
x + 3 =8 x 4 =32 so your answer is 32 sorry for he wait
Step-by-step explanation:
x =5
kiara is paid 76.95 twice a month.how much money does she make in a year
Answer:
1,846.8
Step-by-step explanation:
76.95x2= 153.9
153.9x12= 1,846.8
PLEASE HELP GIVING BRAINLIEST
f(n) = n2 + 4n
g(n) = - 2n - 2
Find f(n) + g(n)
Answer:
(g x h)(n) = -3n(n^2+2n+4) + 2(n^2+2n+4)
(g x h)(n) = -3n^3-4n^2 -8n + 8
(g x h)(1) = -3n^3-4n^2 -8n + 8 = -3 -4 -8 + 8 = -7
Step-by-step explanation:
Answer:
1. n = 0
n = f -4
2. n = - 2/g+2
3. fn+gn
Step-by-step explanation:
Help plssssss it’s an emergency
Answer:
All I know is that the -3 should be there without the 1/3 because that makes no sense to me. And...
Step-by-step explanation:
3x+8=-4
Subtract 8 from both sides.
3x+8−8=−4−8
3x=−12
Step 2: Divide both sides by 3.
3x=−12
3 3
x=−4
Answer: Tyler's work is incorrect because when subtracting 8 from both sides of the equation, he didn't subtract it from -4. If he subtracted 8 from -4, it would've been 3x=-12.
The correct answer is x = -4
Step-by-step explanation:
you get x = -4 by subtracting 8 from each side of the equation, resulting in 3x = -12
then you divide both sides by 3, leaving you with x = -4
Someone help solve ill gift you nitro :)
What is the measure of Angle E?
Answer:
B)
Step-by-step explanation:
1) the sum of angles of triangle is 180, then
180=25+33+E;
2) the measure of the angle E is:
E=180-25-33=122°
3) correct answer is B) 122°
What is the shape of the cross section formed by a plane slicing parallel to the base?
A) rectangle
B) square
C)circle
D) triangle
Answer:
triangle
Step-by-step explanation:
Answer:
triangle
Step-by-step explanation:
A random telephone survey of adults (aged and older) was conducted by Opinion Research Corporation on behalf of CompleteTax, an online tax preparation and e-filing service. The survey results showed that of those surveyed planned to file their taxes electronically. a. Develop a descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically.
Answer:
The answer is "66.99%"
Step-by-step explanation:
Please find the correct question in the attached file.
[tex]\to \frac{684}{1021} \times 100\\\\\to \frac{684}{1021} \times 100\\\\ \to 0.6699 \times 100 \\\\ \to 66.99 \%[/tex]
Determine which of the following words best describes the underlined word(s) in the context.
The President of a mobile phone manufacturer wants to know what color mobile phone users prefer. The company sells mobile phones throughout the world. There are 5.16 billion unique mobile phone users in the world. A Statistician for the manufacturer conducts a random sample of 1,000 mobile phone users throughout the world and from the sample determines that 23.6% prefer white and 34.6% black.
variable, population, statistic, sample, data, parameter
Answer:
Population - All 5.16 billion mobile phone users
Sample - subset of 1000 chosen from 5.16 billion
Variable - white and black mobile preference
Parameter - statistical characteristics of the population
Statistic - statistical characteristic of the sample ; 23.6% white preference ; 34.6 black preference
Data - facts and figures gathered for the study
Step-by-step explanation:
The population is the total observations who fit into a certain area of interest.
Sample refers to subset of the population which is meant to be representative of the larger population.
Variable refer to groups of characteristics with relates to observations within a dataset.
Parameter - statistical characteristics of the population
Statistic - statistical characteristic of the sample
Data - facts and figures gathered for the study
chapter 13 medical math assignment sheet cengage learning a dental laboratory technician (DLT) earns $14 per hour when she works days and $18 per hour when she works nights. One month she works six 4-hour days, three 8-hour days, three 10-hour days, five 6-hour nights, and four 8-hour nights. What is her total pay for the month
Answer:
$2,208
Step-by-step explanation:
In order to calculate her total pay for the month we simply need to use the hours provided in the question, multiply each amount of hours by they pay rate for that day/night. Finally, we add all of the products together to get the final pay for the month.
6 * (4*14) = 336
3 * (8 * 14) = 336
3 * (10 * 14) = 420
5 * (6 * 18) = 540
4 * (8 * 18) = 576
336 + 336 + 420 + 540 + 576 = $2,208
Finally, we can see that her total pay for the month is $2,208
The sum of two consecutive integers is at least 14.
What is the least possible pair of integers?
A. 6 and 7
B. 4 and 5
C. 8 and 9
D. 7 and 8
Answer:
its 7 and 8
Step-by-step explanation:
Subtract -b + 3 from -11b -4 a. 10b+7 b. -12 - 1 c. 10b - 7 d. -10b - 7
Answer:
d. -10b-7
Step-by-step explanation:
A bakery sold a total of 120 cupcakes in a day, and 45% of them were chocolate flavored. How many of the cupcakes sold that day were chocolate flavored?
Answer:
66 are chocolate. 120x1.45 66
The number of cupcakes sold that day was chocolate flavored will be 54.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
A bakery sold a total of 120 cupcakes in a day, and 45% of them were chocolate flavored.
Then the number of cupcakes sold that day were chocolate flavored will be
Let x be the number of the cupcakes sold that day that was chocolate flavored.
x = 45% of 120
x = 0.45 × 120
x = 54
Thus, the number of cupcakes sold that day was chocolate flavored will be 54.
More about the percentage link is given below.
https://brainly.com/question/8011401
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Which point is a reflection of (-4,-3) across the y-axis?
O (3, 4)
O (4, -3)
O (-3,-4)
O (4,3)
Answer:
The point after the reflection of (-4,-3) across the y-axis is:
(4, -3)Hence, option B is correct.
Step-by-step explanation:
When a point P(x, y) is reflected across the y-axis, we reverse the sign of the x-coordinate while the y-coordinate remains the same.
Thus,
The rule to reflect a point across the y-axis is:
P(x, y) → P'(-x, y)
In our case, we are given the point (-4, -3)
Let say the point is A(-4, -3)
Thus, using the rule to reflect a point across the y-axis is:
P(x, y) → P'(-x, y)
A(-4, -3) → A'(-(-4), -3) → A'(4, -3)
Therefore, the point after the reflection of (-4,-3) across the y-axis is:
(4, -3)Hence, option B is correct.
Pls help I’m failing
Answer:
-7
Step-by-step explanation:
you divide both sides by -2 and 14/-2 is equal to -7
Monica paid sales tax of $105 when she bought a new TV. If the sales tax is 5%, what was the cost of the TV?
Answer:
$31.5
Step-by-step explanation:
X * 5% = $1.50
X = $1.50 / 5%
Or by using simple rule of three:
If 5% is $1.50
Then 100% is X
So you obtain = $30
Now you just need to sum The net prices and the taxes
Net + tax = Total Charge
$30 + $1.5 = $31.5
On a coordinate plane, 3 parallelograms are shown. Parallelogram A B C D has points (3, 5), (6, 5), (4, 1), (1, 1). Parallelogram A prime B prime C prime D prime has points (3, negative 5), (6, negative 5), (4, negative 1), (1, negative 1). Parallelogram A double-prime B double-prime C double-prime D double-prime has points (negative 3, negative 4), (0, negative 4), (negative 2, 0), (negative 4, 0). Which rule describes the composition of transformations that maps pre-image ABCD to final image A"B"C"D"? Reflection across the x-axis composition translation of negative 6 units x, 1 unit y. Translation of negative 6 units x, 1 unit y composition reflection across the x-axis. 90 degree rotation about point 0 composition translation of negative 6 units x, 1 unit y. Translation of negative 6 units x, 1 unit y composition 90 degree rotation about point 0.
please helpppppp ;( ILL MARK BRAINLIEST IF CORRECT
Answer:
It would be a reflection across the x-axis, followed by a composition translation of -6 units x, and 1 unit y.
Step-by-step explanation:
If you were to graph each shape and follow this procedure, you will go from parallelogram ABCD to parallelogram A''B''C''D''.
Find the Greatest common factor
42,60
Answer:
6
Step-by-step explanation:
Greatest common factor (GCF) of 42 and 60 is 6.
As the numbers get larger, or you want to compare multiple numbers at the same time to find the GCF, you can see how listing out all of the factors would become too much. To fix this, you can use prime factors.
List out all of the prime factors for each number:
Prime Factors for 42: 2, 3, and 7
Prime Factors for 60: 2, 2, 3, and 5
Now that we have the list of prime factors, we need to find any which are common for each number.
Looking at the occurences of common prime factors in 42 and 60 we can see that the commonly occuring prime factors are 2 and 3.
To calculate the prime factor, we multiply these numbers together:
GCF = 2 x 3 = 6
(hope this helps can i plz have brainlist :D hehe)
Please help w my math homework giving a 100 points
Answer:
It is only 5 point not 100,she cappin
Step-by-step explanation:
Amy and Joey are situated on a circular track 400 feet around. Joey starts running at a rate of 10 feet per second. Amy waits for a full minute, then starts running from the same point (in the same direction) at 12 feet per second. How many seconds elapse before Amy passes Joey on the track?
Answer: 15 second
Step-by-step explanation:
Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.
How many seconds elapse before Amy passes Joey on the track?Joey starts running at v₁ = 10 m/sec
Amy starts running at v₂ = 12 m/sec
we know that d = v [tex]*[/tex] t then t = d/v
Joey will take 400 / 10 = 40 seconds
Amy will take 400 / 12 = 33.33 seconds
To check Joey 10 [tex]*[/tex] 40 = 400
And the Amy 12 [tex]*[/tex] 33.33 = 333.3
That means that time required for Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.
Therefore, 12 seconds elapse before Amy passes Joey on the track.
To learn more about arithmetic operations
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PLEASE HELP!! 30 POINTS
What is the length of leg s of the triangle below?
45°
132
s
45°
4
SOMEONE PLEASE HELP QUESTION NUMBER 5
Answer:
Angle 7 and 9 = 49 degrees.
Angle 8 and 10 = 41 degrees
ZA and ZB are vertical angles. If mZA= (5x – 4) and mZB = (2x – 1)º, then find the value of x. INI
Answer:
x = 1
Step-by-step explanation:
It is given that,
∠A and ∠B are vertical angles.
∠A = (5x – 4) and ∠B = (2x – 1)
We need to find the value of x.
We know that, the vertical angles are equal. So,
∠A=∠B
(5x – 4)=(2x – 1)
Taking like terms together,
5x-2x = 4-1
3x=3
x = 1
So, the value of x is equal to 1.
Find the solution to the equation. URGENT
Answer:
x + 6 + x + 6 + x + 6 + x + 6 + x + 6 x + 6 + x + 6 + x + 6 = 120
aka 8(6 + x) = 120
48 + 8x = 120
you want to get 8x on one side so you will subtract 48 on both sides - whatever you do to obe side you must do on the other side.
8x = 72
now you want the x by its self so to undo multiplication you need to divide, and divide on both sides.
x = 9
Solution: x = 9