Given:
Total number of spins = 100
Probability that he would spin a prime number to be 0.35.
To find:
The theoretical probability of spinning a prime number.
Solution:
Total numbers from 1 to 100 = 100
Total prime numbers from 1 to 100 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.
So, the prime numbers from 1 to 100 = 25
Now, the probability of spinning a prime number is
[tex]\text{probability}=\dfrac{\text{Total prime numbers from 1 to 100}}{\text{Total numbers from 1 to 100}}[/tex]
[tex]\text{probability}=\dfrac{25}{100}[/tex]
[tex]\text{probability}=0.25[/tex]
Therefore, the theoretical probability of spinning a prime number is 0.25.
Prove the following statement: If the x- and y-intercepts of a line are identical nonzero numbers, the line must have a slope of -1.
What is the x-intercept you are using?
What is the y-intercept you are using?
Show what you did to prove the slope is -1
Answer:
Step-by-step explanation:
Proof:
If:
x intercept is at a number nonzero "a"
so the point where it intersects the x-axis is at (a,0)
y-intercept is at the same nonzeronumber "a"
so the point where it intersects the y-axis is at (0,a)
Then:
slope between point (a,0) and (0,a) is m= (y2-y1)/(x2-x1) = 0-a/a-0=-a/a= -1
x intercept is 2 (for example)
so the point where it intersects the x-axis is at (2,0)
y-intercept is 2
so the point where it intersects the y-axis is at (0,2)
slope between point (2,0) and (0,2) is m= (y2-y1)/(x2-x1) = 0-2/2-0=-2/2=-1
Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on Monday and 65 blankets on Wednesday. Write and solve an inequality to find out how many blankets the team must donate on Friday to make or exceed their goal?
Given the equation f(t) = 225(1.23)
What is the rate of growth or decay?
%
What is the initial value?
Answer:
This function doesn't make sense, unless you make it f(t)=225(1.23)^x. I will assume that you forgot to add the x squared. The rate of decay is 23%. Since the base is between 1 and 0, it is an exponential decay and you'll need to subtract the r-value with 1. (If it were an exponential growth, you would have to add 1.) The initial value or the a-value is 225.
9^x-6=729^3(x+2) solve the equation
Answer:
x= -730/363
Step-by-step explanation:
9x-6=729×3(x+2) multiply
9x-6=2187(x+2) remove the paranthesis
9x-6=2187x+4374 move the terms
9x-2187x=4374+6 collect like terms calculate
-2178x=4380 divide both sides
Fill in the missing numbers to complete the pattern:
1.31, 1.81, _____ ,2.81, _____ ,3.81
Answer:
2.31 and 3.31
Step-by-step explanation:
since .81 is repeating, we can assume .31 does too
2x+3y
help me please
Answer:
2 x + 3 y
Step-by-step explanation:
which of these mappings is a function
Answer:
x
Step-by-step explit can only be a function if every input has its own output
30 POINTS PLEASE help
Answer:
m= -1/7
b=2
Step-by-step explanation:
whats 9+10 ? ;) im dumb so i dont know simple mafs
Answer:
the answer is 100% = 21
Step-by-step explanation:
What is the difference of the fractions? Use the number line to help find the answer.
-
T0
Answer:
-7/10
Step-by-step explanation:
Answer:
you got you must be so Mad rn that I'm not helping you with your question Jiggle what you going to do with that big old behind
Step-by-step explanation:
log16^*+log4^*+log2^*=7
Answer:
[tex]x = 16[/tex]
Step-by-step explanation:
Given
[tex]log_{16}(x) + log_4(x) + log_2(x) = 7[/tex]
Required
Solve for x
[tex]log_{16}(x) + log_4(x) + log_2(x) = 7[/tex]
Change base of 16 and base of 4 to base 2
[tex]\frac{log_2(x)}{log_2(16)} + \frac{log_2(x)}{log_2(4)} + log_2(x) = 7[/tex]
Express 16 and 4 as 2^4 and 2^2 respectively
[tex]\frac{log_2(x)}{log_2(2^4)} + \frac{log_2(x)}{log_2(2^2)} + log_2(x) = 7[/tex]
The above can be rewritten as:
[tex]\frac{log_2(x)}{4log_22} + \frac{log_2(x)}{2log_22} + log_2(x) = 7[/tex]
[tex]log_22 = 1[/tex]
So, we have:
[tex]\frac{log_2(x)}{4*1} + \frac{log_2(x)}{2*1} + log_2(x) = 7[/tex]
[tex]\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x) = 7[/tex]
Multiply through by 4
[tex]4(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x)) = 7 * 4[/tex]
[tex]log_2(x) + 2}log_2(x) + 4log_2(x) = 28[/tex]
[tex]7log_2(x) = 28[/tex]
Divide through by 7
[tex]\frac{7log_2(x)}{7} = \frac{28}{7}[/tex]
[tex]log_2(x) = 4[/tex]
Apply the following law of logarithm:
If [tex]log_ab = c[/tex] Then [tex]b = a^c[/tex]
So, we have:
[tex]x = 2^4[/tex]
[tex]x = 16[/tex]
Which equation could have been used to create this graph?
Write 14/9
as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
1.5 repeating
Step-by-step explanation:
Solve the Compound Interest Formula for time given:
250,000 = 12,000e^.125t
ILL MARK AS BRAINLIEST!! PLEASE HELP FAST!!
Answer:
neither
Step-by-step explanation:
Dennis has less than 70 min. to spend on some homework questions. He spent 10 min. on the first two questions. The rest of the questions will take 52 min. each.
Which statement describes the solution to this inequality?
Drag and drop the answer into the box.
Answer:
A. Dennis can complete less than 24 questions.
Step-by-step explanation:
Let x represent the remaining number of questions to be completed. He can complete each of them in 5/2 minutes each; this gives us the expression 5/2x.
He has already spent 10 minutes; this gives us 5/2x+10.
He has less than 70 minutes to spend; this gives us the inequality
5/2x+10<70
Subtract 10 from each side:
5/2x+10-10 < 70-10
5/2x < 60
Divide both sides by 5/2:
5/2x÷5/2 < 60÷5/2
x < 60/1 ÷ 5/2
To divide fractions, flip the second one and multiply:
x < 60/1 × 2/5
x < 120/5
x < 24
Answer:
Dennis can complete fewer than 24 questions.
Step-by-step explanation:
simplify 4 - 3(-2a + 2) please!
Answer:
6a - 2
Step-by-step explanation:
4 - 3(-2a + 2)
4 + 6a - 6
6a - 2
Solve the equation ƒ - (-4) = 12.
ƒ = -8
ƒ = 8
ƒ = 16
ƒ = -9
???
The table below shows the distribution of students by age in a high school
with 1500 students. What is the probability that a randomly chosen student is
14 years old?
Age
13, 14, 15, 16, 17, 18
Number of Students
15,375,450,420,225,15
A. 0.15
B. 0.30
C. 0.28
D. 0.25
Answer: 28
Step-by-step explanation:
Answer:
it is .28
Step-by-step explanation:
ayepexs
the pie chart shows about voters in an election. 2800 more women vote than men. work out the total number of voters.
Answer:
Can you show the pie chart please.
Step-by-step explanation:
Answer:
show pie chart
Step-by-step explanation:
If there are 2.54 centimeters in an inch and 12 inches in a foot, how many centimeters in 3 feet
Answer:
91.44
Step-by-step explanation:
Answer:
3 ft = 91.44 cm
Step-by-step explanation:
We want to convert 3 ft to cm.
So we need a conversion factor.
Multiplying 3 ft by (12 in / 1 ft results in 36 in (this is equivalent to 3 ft).
Next, we convert 36 in to cm:
36 in 2.54 cm
-------- * ------------- = 91.44 cm
1 1 in
please be fast ill give brainliest How many solutions does the system have? y=1/2x-1 and y=-x+5
Answer:
(4, 1)
Step-by-step explanation:
since y=1/2x-1 in the first equation, you can substitute it into the second one:
1/2x - 1 = -x + 5
then add x to both sides:
3/2x - 1 = 5
then add 1 to both sides:
3/2x = 6
then divide both sides by the fraction to get:
x=4
then you substitute 4 into y=1/2x - 1
y = 1/2(4)-1
y = 1
so your answer is x=4 and y=1
What number has the prime factorization 2^2*3*5^2 * 7? Show how you
found the number.
Answer:
3 • 74509
I this is right
When the number of units sold on November 21 is 36, the cost of merchandise sold on November 21 is $
Answer:
When The Number Of Units Sold On November 21 Is 36, The Ending Inventory On November 30 Is 3. When The Number Of Units Sold On November 21 Is 8, The Cost Of Merchandise Sold On November 21 Is 4.
Step-by-step explanation:
so 4
can i have brainliest
Write an equation for the n th term of the arithmetic sequence 56, 48, 40, 32, ....
Answer:
-8n+64
Step-by-step explanation:
Determine whether the triangles are congruent using sas sas asa aas HL
Answer:
They are congruent bc they are the same size and shape
Answer:
Congruent by SAS
Step-by-step explanation:
As given by the diagram, we have two congruent sides already. From the set of parallel lines, we see that two angles are congruent because they are corresponding. Luckily, this angle falls between the two congruent sides, which gives you the proof of SAS.
How to find the volume for a right triangle
Answer: length times width divided by 2
Step-by-step explanation: it's half a rectangle
what word problem would fit for 7x+10=-3x-2
Answer:
A number is multiplied by 7 and the added to 10 and it is equal to when -3 is multiplied by the same number and then 2 is taken away. Find the number.
Step-by-step explanation:
interpretation: 7x+10=-3x-2
Evaluate 2(5 + x2) + y if x = 3 and y = 2
Answer:
26
Step-by-step explanation:
If the value of y varies directly with x, which function represents the relationship between x and y when y = 16/5
and X=20
A. Y=25/4x
B. Y=116/5x
C. Y=4/25x
D. Y=64x
Answer:
C. Y=4/25x
Step-by-step explanation:
If y varies directly as x, tis is expressed as;
y ∝ x
y = kx
k is the constant of proportionality
Goven
y = 16/5 and x = 20
16/5 = 20k
16 = 100k
k = 16/100
k = 4/25
Substitute k = 4/25 into the original equation
y = kx
y = 4/25 x
Hence the required expression is y = 4/25 x