We can expect to roll a prime number 48 times.
Theoretically, when you roll a number cube all the possible numbers have the same probability, 1/6.
We know that the numbers in a number cube are {1, 2, 3, 4, 5, 6}
Of these, the primes are: 2, 3, and 5.
So half of the outcomes of a number cube are primes.
This means that, in every single roll, the probability of getting a prime number is 1/2. (1/6 + 1/6 + 1/6 = 3/6 = 1/2)
Then for 96 rolls, we should expect to see in half of these a prime number as an outcome.
This means that we should expect to roll a prime number 96/2 = 48 times.
If you want to learn more about probability, you can read:
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You should expect to roll a prime number 64 times.
To determine, if you roll a number cube 96 times, how many times would you expect to roll a prime number, the following calculation must be performed, knowing that the prime numbers are those that can only be divided by 1 or by themselves:
A cube has 6 sides. Therefore, the numbers in the cube will be 1, 2, 3, 4, 5 and 6. Of these numbers, only 4 and 6 are not prime, since 4 is divisible by 2 and 6 is divisible by 2 and 3.
Therefore, 4/6 numbers are prime, that is, 66.66% of the numbers in the cube.
Therefore, if you roll a number cube 96 times, since 96 x 4/6 equals 64, you should expect to roll a prime number 64 times.
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Solve The Inequality
Answer:
Step-by-step explanation:
Answer is c
what is six times a number is greater than 12
Answer:
6n>12
Step-by-step explanation:
n represents the number.
So 6 times the number would be 6*n or 6n.
Greater than 12 is >12
I hope this helps!
What is this equation rewritten in logarithmic form?
9X = 3
A. log 3 = x
B. log, 3 = 9
C. log3 9 = x
D. log3 x = 9
Answer:
A. log9 3=x
Step-by-step explanation:
The logarithmic form with base 9 is log₉ 3 = x.
The correct option is A.
The equation 9ˣ = 3 can be rewritten in logarithmic form by identifying the base and the result of the exponential operation. In this case, the base is 9, the result is 3, and the exponent is x.
The logarithmic form with base 9 is log₉ 3 = x.
Option A, log₉ 3 = x, is the correct representation of the equation in logarithmic form.
The logarithmic form states that the logarithm of a number (3 in this case) to a specific base (9 in this case) is equal to the exponent (x in this case).
In the equation, 9ˣ = 3, the logarithmic form log₉ 3 = x indicates that the logarithm of 3 with base 9 is equal to x. This means that 3 is the result of raising 9 to the power of x.
Therefore, option A, log₉ 3 = x, is the correct answer representing the equation 9ˣ = 3 in logarithmic form.
To learn more about the logarithms;
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Can someone help me by please
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Explanation:
10% in decimal form is 0.10
25% in decimal form is 0.25
The jump from 0.10 to 0.25 is "times 2.5" since (0.25)/(0.10) = 2.5
This means that we have 2.5 times as many apples compared to oranges.
If we have 2 oranges, as mentioned in every answer choice, then we must have 2*2.5 = 5 apples.
Based on this, the answer is either A or B.
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65% turns into 0.65
The jump from 0.10 to 0.65 is 6.5 since (0.65)/(0.10) = 6.5
So we have 6.5 times as many pears as oranges.
If we had 2 oranges, then we have 2*6.5 = 13 pears
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To summarize, we have:
2 oranges, 5 apples, 13 pears.
The answer is therefore choice A
Find the measure of the indicated angle.
Answer: 88 - 180 =? ÷2
Step-by-step explanation:
square of (1\4A+1\4B)^2
Answer:4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1
Step-by-step explanation:
Factor 4a^2-4a+1. 4a2 − 4a + 1 4 a 2 - 4 a + 1. Rewrite 4a2 4 a 2 as (2a)2 ( 2 a) 2. (2a)2 − 4a+1 ( 2 a) 2 - 4 a + 1. Rewrite 1 1 as 12 1 2. (2a)2 − 4a+12 ( 2 a) 2 - 4 a + 1 2. Check that the middle term is two times the product of the numbers being squared in the first term and third term. 4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1.
Instructions: Find the missing side. Round your answer to the nearest tenth.
28°
х
23
Answer:
x=49.0
Step-by-step explanation:
Hi there!
In this right triangle, we're given an angle and the opposing side, and we're trying to solve for the length of the hypotenuse.
In this situation, we can use the sine ratio:
[tex]sin\theta=\frac{opp}{hyp}[/tex]
Plug in the known information
[tex]sin(28)=\frac{23}{x}\\x=\frac{23}{sin(28)}\\x=49.0[/tex]
Therefore, the length of the missing side is 49.0 units when rounded to the nearest tenth.
I hope this helps!
Which equation is equivalent to 5^3 sqrt x+8 = 35?
Answer:
x+8 =343
Step-by-step explanation:
5 ( x+8) ^ 1/3 = 35
Divide each side by 5
5/5 ( x+8) ^ 1/3 = 35/5
( x+8) ^ 1/3 = 7
Cube each side
( x+8) ^ 1/3 ^3= 7^3
x+8 =343
1. Which of the following expressions are equivalent to? Select all that apply. A. 31 . 36 B. 31 . 35 C. 3-2 . 3-4 D. 32 . 3-8 E. 3 • 3-6 F.3-1 . 3-5
Answer: A and C
Step-by-step explanation:
HELPPPPPPPP IM SO LOSTTTTTTTT
Answer: -3, -1, 2
So we have -3 go in the first box, -1 in the second, 2 in the third.
The order doesn't matter (so you can rearrange these values however you want).
===========================================================
Explanation:
Recall that a function cannot have any x input lead to multiple y outputs.
For example, if we had x = 0 lead to y = 3 and y = -1 at the same time, then we don't have a function.
In other words, we cannot have repeated x values. So all we have to do is cross off -2, 0, 1, and 3 from the list since they're already in the x row of the table. See the diagram below. This is to ensure that we don't repeat any x values.
The remaining three values -3, -1 and 2 can be placed in any order you want into the three empty boxes.
So we could have -3 go in the first box, -1 go in the second box, and 2 go in the last box. Or you could have -1 in the first box, -3 in the second, and 2 in the third. The order doesn't matter.
in a survey of a group of people, showed that,45 liked lassi,40 liked juice,60 liked curd,10 liked juice as well as lassi,25liked lassi as well as curd,20 liked juice as well as curd n 5 like all three.how many people were asked this question? solve by drawing the venn diagram.
let L,J and C be lassi , juice, and curd respectively
99, 159, 219, ___. To find the next number after 219, we should a. Add 69 to 219 b. Subtract 60 from 219 c. Add 60 to 219 d. Add 40 to 219
Answer:
C
Step-by-step explanation:
99+60=159.
159+60=219
219+60=279
Solve the equation for x: (4x+38) + (2x-18)=180
Answer:
80/3
Step-by-step explanation:
try mathw4y it helps alot.
Answer:
x = 80/3
Step-by-step explanation:
(4x+38) + (2x-18)=180
Combine like terms
6x +20 = 180
Subtract 20 from each side
6x+20 -20 = 180-20
6x = 160
Divide by 6
6x/6 = 160/6
x = 80/3
Find the length of the indicated side.
Hello
DEF and IKL , equilateral =>
DE = 5x-12 = 3x-4
5x-3x= -4+12
2x= 8
x=4
DE = 5x-12 = 20-12 = 8
KL = 3x+24 = 10x+3
24 -3 = 10x-3x
21 = 7x
x= 21/7 = 3
KJ = 10x+3 = 30+3 = 33
UR SO COOL IF UOU ANSWERRR PLEASE ANSWERRRR
Answer:
1/6 is less than 1/2
Step-by-step explanation:
1/6 is close to 0
8/9 is close to 1
1/6 is less than 1/2
help please i’ve been in here for hours looking for answers
Answer:the 2nd row, x=0, f(x)=2
Step-by-step explanation:
When x=0, the line touches the y-axis because the f(x) has a value. therefore when x=0, y=2
you'll understand better if you sketch it out
Circle A: center (-4, 0) and radius 6
Circle B: center (11, 0) and radius 4
Which of the following transformation is performed from circle A to circle B?
Answer:
Circle a must be translated (x+15, y+0) and then dilated by 4/6 in order to get circle b.
Can someone help me with this. Thx
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
See this attachment
[tex]\boxed{\boxed{\sf{ x=5~and~y=-5 }} }[/tex]
The formula for centripetal acceleration, a, is given by this formula, where v is the velocity of the object and r is the object's distance from the center of the circular path: . Solve the formula for r.
Answer:
v = √ar
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION;
The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path. Solve the formula for the velocity. the formula is a= v^2/ r
the given formula is (a= v^2/ r) .....eqn(1)
Where
a=centripetal acceleration
r = object's distance
We were told to find velocity (v)
From eqn(1) we can cross multiply, then we have
a.r=v^2 ...................eqn(2)
Then we can make (v^2) the subject of the formula, we have
(v^2) = ar
We can make "v" subject of the formula, then we have
v = √ a*r
Answer:
r = v^2/a
Step-by-step explanation:
Please I need help with this
Step-by-step explanation:
The x are the values that you have been given
Which equation represents this number sentence?
Six less than the quotient of a number and 4 is 15
Answer:
Step-by-step explanation:
Let the number be 'x'
Quotient of a number and 4 = [tex]\frac{x}{4}[/tex]
Six less than the quotient of a number and 4 : [tex]\frac{x}{4}-6[/tex]
Equation:
[tex]\frac{x}{4} \ - \ 6 = 15[/tex]
I needddd help it’s urgenttttt!!!!
Choose the graph that correctly corresponds to the equation y = −4
Answer:
e
Step-by-step explanation:
the graph should look something like this
Solve the system algebraically.
2x + y - 10 = 0
X-y-5= 0
What is the value of y?
-5 /3
5
0
Answer:
Let 2x + y - 10 = 0 be equation (a).
Let x - y - 5 = 0 be equation (b).
Make y the subject in equation (b):
[tex]{ \tt{x - y - 5 = 0}} \\ { \tt{y = x - 5}}[/tex]
Substitute for y in equation (a):
[tex]{ \tt{2x + (x - 5) - 10 = 0}} \\ { \tt{3x - 15 = 0}} \\ { \tt{3x = 15}} \\ { \tt{x = 5}}[/tex]
Find y in any equation of your choice:
[tex]{ \tt{y = (5) - 5}} \\ y = 0[/tex]
Please show work
Determine the value of each variable
9514 1404 393
Answer:
k = 56°
Step-by-step explanation:
If b represents a base angle in an isosceles triangle, and 'a' represents the ap.ex angle, then the relation between them is ...
2b +a = 180°
from which we get ...
a = 180° -2b
b = (180° -a)/2
__
The angle at lower right is a base angle of the outside isosceles triangle. Its value is (180° -56°)/2 = 124°/2 = 62°.
The angle marked k is the ap.ex angle of the triangle whose base angle is 62°. We have already seen that the ap.ex angle is 180° -2(62°) = 56°.
k = 56°
_____
We don't see x anywhere on the diagram. The unmarked angle at lower left will be 62° -56° = 6°.
The obtuse angle on the right will be 180°-56°-6° = 118°. The acute angle of that linear pair is the other base angle of the smaller isosceles triangle, so is 62°.
PLEASE HELP!! would this be symmetric or reflexive property?
Answer: It's "reflexive" because the equation is equal on both sides
Step-by-step explanation: The reason it isn't symmetric property, is because the variables are mismatched (it's not the same on both sides.)
Hope this helped!!
Abram completes one lap of a go-cart track every 40 seconds. Joshua completes one lap of the same track every 30 seconds. Suppose Abram and Joshua cross the starting line at the same time.
a. How many seconds will pass before they cross the starting line at the same time again?
b. How many laps will Abram have completed in that time?
c. How many laps will Joshua have completed in that time?
Answer:
Below in bold.
Step-by-step explanation:
a. This is the Lowest common multiple of 30 and 40 which is
120 seconds.
b. In 120 seconds Abram had completed 120/40
= 3 laps.
c. Joshua completed 120/30 = 4 laps.
Answer:
Step-by-step explanation:
A, Lowest common mutiple of 30 and un is 120 seconds
(40x3 = 120, 30x4 = 120)
6.120/40 = 3 laPs Abram did 3 laps.
L. 120/30 = u laPs Jeshya did u laps
What is the circumference of 90 degrees
the circumference is about 37.70
Help me out hhhhhhhjjnjnfd
since its the same you will have to multiple it all to get the answer
A shopkeeper buys TVs for Nu 15000 and marks them up 15% to sell them. What is the mark up amount? *
[tex] \\ \sf \longmapsto \: 15000 \times 15\% \\ \\ \sf \longmapsto \: 15000 \times \frac{15}{100} \\ \\ \sf \longmapsto \: 150 \times 15 \\ \\ \sf \longmapsto \: 2250[/tex]
Markup amount is 2250Nu
