Answer:
[tex]P(Even) = 0.547[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccccccc}{Sides} & {1} & {2} & {3} & {4} & {5} & {6} \ \\ {Freq} & {42} & {51} & {39} & {52} & {44} & {48} \ \end{array}[/tex]
Required
P(Even)
The even sides are: 2, 4, 6
So:
[tex]P(Even) = P(2) + P(4) + P(6)[/tex]
This is then calculated as:
[tex]P(Even) = \frac{n(2)}{Total} + \frac{n(4)}{Total} + \frac{n(6)}{Total}[/tex]
Replace n(2), n(4), n(6) with their frequencies
[tex]P(Even) = \frac{51}{Total} + \frac{52}{Total} + \frac{48}{Total}[/tex]
The total frequency is:
[tex]Total =42+51+39+52+44+48[/tex]
[tex]Total =276[/tex]
So:
[tex]P(Even) = \frac{51}{Total} + \frac{52}{Total} + \frac{48}{Total}[/tex]
[tex]P(Even) = \frac{51}{276} + \frac{52}{276} + \frac{48}{276}[/tex]
Take LCM
[tex]P(Even) = \frac{51+52+48}{276}[/tex]
[tex]P(Even) = \frac{151}{276}[/tex]
[tex]P(Even) = 0.547[/tex] --- approximated
We Just started learning thus stuff and I'm a little confused
Answer:
The volume of a prism is the area of the base times the height, V=Bh. The volume of a rectangular prism is the length times width times height, V=lwh. The volume of a cube is the length of one side cubed, V=s3.
Step-by-step explanation:
if you don't get it, then i'll just answer.
Find the slope and y-intercept from the following graph of a linear equation.
1/3 of 36 solve using a tape diagram
a seventh grade special education classroom consists of 14 girls and 16 boys. If 10 of the students are selected at random to help a fourth grade math class, determine the probability that all boys will be selected.
Answer:
8/30015 or .037%
Step-by-step explanation:
16/30 × 15/29 × 14/28 × 13/27 × 12/26 x 11/25 x 10/24 × 9/23 × 8/22 × 7/21
= 8/30015
Samuel makes a dozen of mini cupcakes using 5/8 cups of sugar, 3 cups of chocolate chips and 1/2 cup of butter. If each cupcake has an equal amount of sugar, how much sugar is used per cupcake?
I don't what form of measurement to use (like grams, cusp, etc.) but I'm pretty sure it'd be cups
I think it's 5/96 or .05208333
So, 5/8 is .625. Dividing that up in throwing it into 12 cupcakes.
10. A tractor costs $13,650 and depreciates in value by 14% per year. How much will the tractor be worth after
10 years?
a $2,597.86 b. $13,510.00 c. $3,020.77 d. $50,603.57
Value of x in this? Having trouble with this problem.
-4x = 16
a -64
b 4
c 20
d-4
-4× = 16 answer: -4
Step-by-step explanation:
-4 × -4 = 16
Amy sells muffins for 1.35 each the muffins cost 0.39 each to make how much profit will Amy make if she sells 48 muffins?
Answer:
$46.08
Step-by-step explanation:
Hi,
She gets 48 (1.35) when she sells 48 muffins. That equals 64.8.
But she pays 48 (.39) to make them. That equals 18.72.
64.8 - 18.72 = 46.08
She makes $46.08
I hope this helps :)
Using the commutative property, fill in the information necessary to make this a true statement. Solve: 5 × 8 = ×
Answer: 8*5
Step-by-step explanation: Because the comutative property says you can like, switch up the orders of the numbers in a thing and it is still trye. So 5*8=8*5.
The expression using the commutative property is
5 x 8 = 8 x 5.
What is an expression?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The commutative property states that,
a x b = b x a
Now,
Using the commutative property,
5 x 8 is equal to 8 x 5.
Thus,
5 x 8 = 8 x 5
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Translate the phrase into an algebraic expression. The difference of c and 6
Answer:
c - 6
Step-by-step explanation:
differnce is subtraction
so subtract.
I'm trying to get this question but all i'm getting is links plz somebody answer my question i'm going to fail my I NEEED AN ANSWERRR
Use the table for 12–17.
In the table above, Mr. Maramonte
recorded the score each student in his
class earned on a recent math test.
12. What is the mean score for the students
in Mr. Maramonte’s class?
_______________________________________
13. What is the mean absolute deviation for
the scores to the nearest hundredth?
_______________________________________
14. What is the median score for the
students in Mr. Maramonte’s class?
_______________________________________
15. What is the mode of the data?
_______________________________________
16. Draw a box-and-whisker plot to display
the data.
17. What is the interquartile
Guyyyysss ;( please help me with this
Answer: A) 2+3i
Step-by-step explanation:
Given
2-3i
Solve:
The formula for quadratic function: x=[-b±√(b²-4ac)]/2a
Through the formula, we get two solutions. One of them is 2-3i.
Since the first part is (something)±(something), the other solution will be 2+3i
Hope this helps!! :)
Please let me know if you need further explanations
According to exit polling from the 2014 U.S. midterm elections, 36% of voters had a household income less than $50,000, while 64% had a household income of at least $50,000. Forty-three percent of voters from house-holds making less than $50,000 voted for the Republican party in the election, while 55% percent of voters from households making at least $50,000 voted Republican. What is the probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000
Answer:
0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Republican
Event B: From a household that makes at least $50,000.
Probability of Republican:
43% of 36%(makes less than $50,000).
55% of 64%(makes more than $50,000).
So
[tex]P(A) = 0.43*0.36 + 0.55*0.64 = 0.5068[/tex]
Republican and from a household that makes at least $50,000.
55% of 64%. So
[tex]P(A \cap B) = 0.55*0.64 = 0.352[/tex]
What is the probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.352}{0.5068} = 0.6946[/tex]
0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.
Simplify the variable expression below as much as possible.
(4.5)x+ 3x + 2
Answer:
23x +2
Step-by-step explanation:
20x + 3x + 2 = 23x + 2, also close ur curtains ouch
Based on the information given, the value of the expression is 23x + 2.
From the information given, the expression that was given is (4.5)x+ 3x + 2. This simply means that one has to multiply the values in the bracket first and solve it. This will be:
= (4 × 5)x + 3x + 2
= 20x + 3x + 2
= 23x + 2
Learn more about equations on:
https://brainly.com/question/13802812
6C + 47M=893.50
25C + 22M=527.86
Answer:
C = 4.94 M = 18.38
Step-by-step explanation:
the easiest way is to graph both equaitons and see where they intersect,
see the image
or solve by substitution
6C + 47M=893.50 C = (893.50 - 47M)/6
25C + 22M=527.86
25((893.50 - 47M)/6) + 22M = 527.86
25/6 [(893.50) - 47M] + 22M = 527.86
25/6 [ - 47M] + 22M = 527.86 - 25/6 [(893.50)
22M - 25(47M)/6 = -3195.06
22M - 195.83M = -3195.06
-173.83M = -3195.06
M = 18.38
C = (893.50 - 47(18.38)/6
C = 4.94
Two chemical companies can supply a raw material. The concentration of a particular element in this material is important. The mean concentration for both suppliers is the same, but you suspect that the variability in concentration may differ for the two companies. The standard deviation of concentration in a random sample of
n1=10
batches produced by company 1 is
s1=4.7
grams per liter, and for company 2, a random sample of
n2=16
batches yields
s2=5.8
grams per liter. Is there sufficient evidence to conclude that the two population variances differ? Use α = 0.05.
Answer:
As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.
Step-by-step explanation:
As we suspect the variability of concentration F - test is applied.
n1=10 s1=4.7
n2=16 s2=5.8
And α = 0.05.
The null and alternate hypothesis are
H0: σ₁²=σ₂² Ha: σ₁²≠σ₂²
The null hypothesis is the variability in concentration does not differ for the two companies.
against the claim
the variability in concentration may differ for the two companies
The critical region F∝(υ1,υ2) = F(0.025)9,15= 3.12
and 1/F∝(υ1,υ2) = 1/3.77= 0.26533
where υ1= n1-1= 10-1= 9 and υ2= n2-1= 16-1= 15
Test Statistic
F = s₁²/s₂²
F= 4.7²/5.8²=0.6566
Conclusion :
As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.
I don’t know how to do this at all
9514 1404 393
Answer:
A) down
B) 25 m; 200 m/s
C) (20.41, 2065.82)
Step-by-step explanation:
When you are first introduced to equations for ballistic motion, you may be told that the formula is ...
h(t) = -4.9t² +v₀t +h₀ . . . . . height in meters at time t seconds
where v₀ is the initial upward velocity in meters per second, and h₀ is the initial height in meters.
When you are first introduced to quadratic equations, and the vertex form in particular, you may be told that the form is ...
f(x) = a(x -h)² +k . . . . . . . vertex (h, k) and vertical scale factor 'a'
When the scale factor (or leading coefficient) is negative the graph of the parabola opens downward. When it is positive, the graph opens upward.
Knowing these things, you are prepared to match the given equation to these patterns.
__
Part A: We observe that the leading coefficient of the function (-4.9) is negative, so the parabola opens down.
__
Part B: The constant in the first given equation is 25, so the initial height is 25 meters.
The coefficient of t in the first given equation is 200, so the initial velocity of the rocket is 200 m/s.
__
Part C: The vertex can be read from the second equation as ...
(h, k) = (20.41, 2065.82)
What is the area of the parallelogram
shown above?
[?] square feet
Answer:
299 square feet
Step-by-step explanation:
Area of a parallelogram = base × height
Base = 23 ft
Height = 13 ft
Note: the other length, 15 ft is not needed in calculating area of the parallelogram. All we need is just the length of the base and the height.
Area of the parallelogram shown = 23 × 13
Area = 299 ft²
Write the partial fraction decomposition of the rational expression:
(3x-5)/(x^2 - 6X - 16)
Answer:
Step-by-step explanation:
if 15 citizens are chosen, what is the probability that 10 of them are favoring the substation
Answer:
10/15
Step-by-step explanation:
The probability is 10/15 or 67% chance
Factor 7/10 out of 7/10z+21.
7/10z+21=
Answer:
1/100 (1471 z + 2100)
0.01 (1471 z + 2100) the result I got
and the Factorization over the splitting field:
14.71 z + 21
What is the answer help please if you give me a link I will report you
Answer:
7
Step-by-step explanation:
The median is always the middle number.
A plane traveling 480 miles in 1 hour travels how far in 15 minutes
Answer:
120 Miles
Step-by-step explanation:
Simplify
8(10 m)
80 + m
18 m
80 m
810 m
80m, you kind of distribute so 8 times 10m is 80m
What is the resistance of a coil which draws a current of 200na
Answer:
600000Ω
Step-by-step explanation:
1μA = 10⁻⁶ A
200μA = 0.0002 A
Potential difference = V = 120 V
Current = I = 0.0002 A
Resistance = R
R = V / I
= 120 / 0.0002
= 600000Ω
i need help with this
9514 1404 393
Answer:
26
Step-by-step explanation:
The question is asking the fraction equivalent of 0.26 (twenty-six hundredths).
That fraction is 26/100 (twenty-six hundredths). The missing number is 26.
Please help! Picture attached!
Answer:
6.2
Step-by-step explanation:
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(5.5−1)2+(9.25−5)2(5.5-1)2+(9.25-5)2
= √4.52+4.2524.52+4.252
= √20.25+18.062520.25+18.0625
= √38.312538.3125 = 6.1897
Evaluate the expression 2y + 10 + y2 of y=8
The evaluation of the expression 2y + 10 + y² at y = 8 returns 90 as its value.
How to evaluate a given mathematical expression with variables if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
The considered expression is 2y + 10 + y²
We need to evaluate it at y = 8
Putting 8 in place of y in the expression, we get:
[tex]2y + 10 + y^2|_{y=8} = 2 \times 8 + 10 + (8)^2 = 16 + 10 + 64 = 90[/tex]
Note that small subscript of y = 8 shows that we're evaluating the expression for y = 8.
Also, when symbols are used with multiplication, we usually hide the multiplication sign and just keep the multiplying quantities close to each other, this is why [tex]2 \times y[/tex] was written 2y in the expression.
Thus, the evaluation of the expression 2y + 10 + y² at y = 8 returns 90 as its value.
Learn more about evaluating a function at a value here: https://brainly.com/question/2753269
write an equation in point-slope form of the line that passes through the point (3, 5) and has a slope or -1
Answer:
y = -x + 8
Step-by-step explanation:
m = -1 ; x1 = 3 ; y1 = 5
Slope point form: y - y1 = m(x -x1)
y - 5 = -1(x - 3)
y - 5 = -1x - 3 *(-1)
y - 5 =-x + 3
y = -x + 3 + 5
y = -x + 8