Answer:
[tex]\dfrac{9}{19}[/tex]
Step-by-step explanation:
It is given that there are a total of 19 cards ({1,2,3,4, ...... ,19}).
Let S be the set of total cards.
S ={1,2,3,4, ...... ,19}
Total number of observations, n(S) = 19
Even number of cards is the set {2,4,6,8,10,12,14,16,18}
Total number of cards with even number on it = 9
Let E be the event of selecting a card with even number on it.
n(E) = 9
Probability of an event A can be formulated as:
[tex]P(A) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
In this case, formula of P(E) is:
[tex]P(E) = \dfrac{n(E)}{n(S)}[/tex]
[tex]\Rightarrow \dfrac{9}{19}[/tex]
The probability that the card chosen at random is an even number is:
[tex]\dfrac{9}{19}[/tex]
The probability that the card will have an even number will be 0.4737.
From the information given, we are informed that a bag contains 19 cards numbered 1 through 19. Based on the information, the even numbers will be 2, 4, 6, 8, 10, 12, 14, 16, and 18. Therefore, the probability of having when numbers will be:= 9/19 = 0.4737
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What is the median of the data: 1, 2, 3, 3, 5, 6, 8
What is the mode of the data: 1, 2, 3, 3, 5, 6, 8
What is the range of the data: 1, 2, 3, 3, 5, 6, 8
i need help fast
Median: The middle number in the data set when the
data set is written from least to greatest.
Since our data set is already written from least to greatest,
we can just look for the number that appears in the middle.
In this case, it would be 3.
Mode: The number that appears
most frequently in a data set.
Notice that the number 3 appears twice in the data set and no other
number appears more than once. So the mode is 3.
Range: The difference between the greatest number in
the data set and the least number in the data set.
Since the greatest number is 8 and the least number is 1,
the range of the data set will be 8 - 1 or 7.
Find the TOTAL surface area.
*
41 cm
18 cm
18 cm
Answer:
3600
Step-by-step explanation:
41*18*4=2952, 2952+(18*18*2)=3600.
hi can someone help me with this I will thank u so much and give u stars and a thank u
Find the products mentally.
6.(0.8).2
(4.5) . (0.6) .4
Answer:
i think it is .64
Step-by-step explanation:
what is 5 plus 6 plus 7 plus 8?
Answer:
26
Step-by-step explanation:
5 + 6 + 7 + 8 = 11 + 15 = 26
Hope it helps you in your learning process.
Answer:
26
Step-by-step explanation:
[tex]5+6+7+8\\\text {Add: }\\5+6+7+8\\11+7+8\\18+8\\\boxed {26}[/tex]
5+6+7+8 = 26
HELP ASAP
There are 20 students on a school bus, 4 sixth graders, 10 seventh graders, and 6 eighth graders. Two students are chosen at random.
What is the probability of choosing two eighth graders?
Answer:
Idk I’m sry
Step-by-step explanation:
A grocery store sells a party mix in 640 g bags. The ratio of pretzels to corn
chips is 5: 3. Determine the mass of the pretzels in the bag.
Answer: 400g
Step-by-step explanation:
The ratio of pretzels to corn chips is 5:3, which means that pretzels make up 5/8 of the party mix.
Mass of pretzels = 5/8 x 640g = 400g
Clare has $5,003 in a savings account that earns 8% interest, compounded annually.
To the nearest cent, how much interest will she earn in 4 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: Clare earned $6806.53.
Step-by-step explanation:
The formula given to us is the formula for compounded interest.
You can substitute the values given in the first part of the problem into the equation to find B, the final amount:
[tex]B = p*(1+r)^t\\\\B = 5003 * (1 + 0.08)^4[/tex]
Note that 8% interest is expressed as 0.08 because it is a percentage of a whole number.
Now, use a calculator to raise 1.08 to the fourth degree to get this:
[tex]B = 5003 * 1.360488\\B = 6806.526[/tex]
As such, Clare earned $6806.53 in interest after 4 years.
What is the range of the function?
Answer:
the range of this function is d
{3,9,12}
PLEASE HELP! URGENT!
The equation and graph of a polynomial are shown below. The graph reaches its maximum when the value of x is -2. What is the y-value of this maximum?
y = -x^2-4x-1
Answer:
-11
Step-by-step explanation:
y= -2 squared - 4 x 4 - 1
y=4-16-1
y=-11
What is the area of the parallelogram?
A parallelogram with base of 20 centimeters, height of 15 centimeters, and side length 21 centimeters.
Which statements are true about the circle shown? Check all that apply.
Step-by-step explanation:
A circle is only composed of the points on the borderThe distance around the circle is called circumference A square inscribed in a circle and centered at the origin has points at (2, 2), (- 2, 2), (2, -2) and ( -2, -2). What is the equation of the circle that circumscribes the square?
X^2+y^2=8 is the answer but why?
Answer:
In short, they are all solutions to your equation.
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below. I clarified as much as possible and included all explanations/work.
I hope this helps.
1/16 x 6 then round to 2 decimal places.
Answer:
0.38
Step-by-step explanation:
your friend's house is 7.5 miles north and 10 miles west of the zoo. How far is your friend's house from the zoo?
Answer:
2.5 miles
Step-by-step explanation:
Find an angle 0 coterminal to 801°, where 0° < 0 < 360°.
Answer:
[tex]\alpha' = 81^{\circ}[/tex]
Step-by-step explanation:
Angle is periodical function, so that following condition is satisfied:
[tex]\alpha = n \cdot 360^{\circ}[/tex]
[tex]n = \frac{801^{\circ}}{360^{\circ}}[/tex]
[tex]n = 2.225[/tex]
The position of the coterminal angle is:
[tex]n' = 2.225 - 2[/tex]
[tex]n' = 0.225[/tex]
[tex]\alpha' = n' \cdot 360^{\circ}[/tex]
[tex]\alpha' = (0.225)\cdot (360^{\circ})[/tex]
[tex]\alpha' = 81^{\circ}[/tex]
Racer and J. Michael are both training for the 1600 meter run. Last
week Racer ran 28– kilometers. J.
Michael ran 19.
kilometers. How
8
many more kilometers did Racer run?
Answer:
a lot
Step-by-step explanation:
A store is having a sale on walnuts and chocolate chips. For 12 pounds of walnuts and 2 pounds of chocolate chips, the total cost is $45. For 3 pounds of walnuts and 5 pounds of chocolate chips, the total cost is $18. Find the cost for each pound of walnuts and each pound of chocolate chips.
cost for each pound of walnuts:
cost for each pound of chocolate chips:
Answer:
Each pound of walnuts cost $3.50 and each pound of chocolate chips cost $1.50
Step-by-step explanation:
Let the cost of one pound of walnuts = $w
and the cost of one pound of chocolate chips = $c
Cost of 12 pounds of walnuts and 2 pounds of chocolate chips = $45
12w + 2c = 45 ------(1)
Cost of 3 pounds of walnuts and 5 pounds of chocolate chips = $18
3w + 5c = 18 --------(2)
Multiply equation (2) by 4 then subtract it from equation (1)
(12w + 2c) - (12w + 20c) = 45 - 72
-18c = -27
c = [tex]\frac{27}{18}[/tex]
c = $1.5
Substitute c = 1.5 in equation (1),
12w + 2(1.5) = 45
12w = 45 - 3
w = [tex]\frac{42}{12}[/tex]
w = $3.5
Therefore, each pound of walnuts cost $3.5 and each pound of chocolate chips cost $1.5
PLEASEEE HELP!!!!!!!!
Answer:
Number 2
Step-by-step explanation:
So you first gotta open the parentheses: When you multiply them you add the exponents
You get x^5/6 + 2x^7/3
Answer:
#2
Step-by-step explanation:
So you first gotta open the parentheses: When you multiply them you add the exponents
You get x^5/6 + 2x^7/3
Q1 Use desmos to construct a histogram for the following data set. Then
describe the shape of the distribution.
** Provide a screenshot of your graph
80, 84, 68, 64, 57, 88, 61, 72, 76, 80, 83, 77, 78, 82, 65, 70, 83,78
73, 79, 70, 62, 69, 66, 79, 80, 86, 82, 73, 75, 71, 81, 74, 83, 77, 73
Answer:
Step-by-step explanation:
Roger logs the number of miles he runs each week . The mean number of miles roger ran in October was 30.2
Answer:
what is the question
Step-by-step explanation:
Here are the first four terms of an arithmetic sequence.
5
12
19
26
Write down an expression, in terms of n, for the nth term of the sequence.
Answer:
nth term = 7n - 2
Step-by-step explanation:
The first 4 term of the arithmetic sequence is 5, 12 , 19 and 26. The expression in terms of nth term that model this sequence can be express below
The nth term of the arithmetic sequence form can be represented as follows.
nth = a + (n - 1)d
where
a = first term
d = common difference
Therefore,
a = 5
d = 12 - 5 = 7 or 19 - 12 = 7 or 26 - 19 = 7
nth = a + (n - 1)d
nth term = 5 + (n - 1)7
nth term = 5 + 7n - 7
nth term = 7n - 2
How do I find out if this is an infinite solution
4(x-2) + 7 = 4x - 1
Answer:
x = all real numbers, infinite solutions
Step-by-step explanation:
4(x-2) + 7 = 4x - 1
Distribute
4x -8+7 = 4x-1
Combine like terms
4x -1 = 4x-1
Subtract 4x from each side
4x-1 -4x = 4x-1-4x
-1 = -1
This is always true so there are infinite solutions for x
The sum of the numbers j,k, and m is 115. The ratio of j to k is 2:7 and the ratio of k to m is 14:5. What is the value of k?
E. 61
F. 70
G. 78
H. 83
Answer:
f. 70
Step-by-step explanation:
I did it the easy way, so k has to be able to divide by 14 and 7. So i just divided all the answers by 7 first. Then 14. Only 70 is able to divide by 7 and 14. Lastly I just check to see if it works. 2:7 = 20=70. 14:5 = 70:25. 20+70+25=115.
Change the following mixed expressions to fractions and then simplify the complex fractions.
y-(4x^(5))/(x^(2)-xy)
Answer:
see below
Step-by-step explanation:
[tex]y-\frac{4x^5}{x^{2}-xy }[/tex] find common denominator and rewrite 1st part as a fraction
[tex]\frac{y(x^{2}-xy) }{x^{2}-xy }[/tex] [tex]-\frac{4x^5}{x^{2} -xy}[/tex]
[tex]\frac{x^{2}y - xy^2 -4x^5 }{x^{2} -xy}[/tex]
[tex]\frac{x(xy-y^2-4x^4}{x(x-y)}[/tex]
[tex]\frac{xy-y^{2}-4x^4 }{x-y}[/tex]
The expression [tex]y -\frac{4x^5}{x^2 - xy}[/tex] can be simplified as [tex]\frac{yx - y^2-4x^4}{x-y}[/tex]or [tex]y -\frac{4x^4}{x - y}[/tex].
What is Fraction?Fractions are numbers which has two parts, numerator and the denominator and is of the form p/q. Here, the number on the top p is called the numerator and the one on the bottom q is called the denominator.
Fractions can also be expressed and decimals and the reverse can also be applied.
Given expression is a mixed expression. We have to first change it into fractions and then have to simplify the complex fractions.
Given expression is [tex]y -\frac{4x^5}{x^2 - xy}[/tex].
First do the cross multiplication.
[tex]y -\frac{4x^5}{x^2 - xy}[/tex] = [tex]\frac{[y(x^2 - xy)]-4x^5}{x^2-xy}[/tex]
= [tex]\frac{(yx^2 - xy^2)-4x^5}{x^2-xy}[/tex]
= [tex]\frac{x(yx - y^2-4x^4)}{x(x-y)}[/tex]
= [tex]\frac{yx - y^2-4x^4}{x-y}[/tex]
= [tex]\frac{y(x - y)-4x^4}{x-y}[/tex]
= [tex]y -\frac{4x^4}{x - y}[/tex]
Hence the mixed expression given as [tex]y -\frac{4x^5}{x^2 - xy}[/tex] can be simplified as [tex]\frac{yx - y^2-4x^4}{x-y}[/tex] or [tex]y -\frac{4x^4}{x - y}[/tex].
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Four students were asked to write an expression which has terms that have a greatest common factor of 8c. The expressions
provided by the students are shown below.
Tanya
32C+16cd
Wyatt
8c-48cd
Xavier
36c-240
Yang
8c+40
Which student wrote the correct expression?
Tanya
Wyatt
Xavier
Yang
Answer:
WyattStep-by-step explanation:
Greatest common factor is a largest possible number or function that divides all values of a function without a remainder. According to the students, only Wyatt wrote the correct expression that has 8c as its greatest common factor.
According to Wyatt expression;
8c-48cd
It can be seen that 8c is the greatest function that can go in both monomials (8c and 48cd). On factoring out 8c we have;
[tex]8c-48cd = 8c(1-6d)[/tex]
since no other values can go in the values in parenthesis (1-6d), this shows that 8c is the greatest common factor of the function hence only Wyatt wrote the correct expression compare to other students.
According to Xavier and Yang equation, c is cannot be factored from the equation thereby making both the wrong expression.
For Tanya function 32c+16cd, its greatest common factor is 16c not 8d making the equation wrong as well.
Answer:
Wyatt
Step-by-step explanation:
it's on edge
9x − 9y = 18
y = 8
Solve a system of equations using substitution.
Answer: x = 10
Step-by-step explanation:
Answer: x=10
Step-by-step explanation: 9(8)= 72, 72+18=90, 90/9= 10
James has 14{,}500\text { g}14,500 g14, comma, 500, start a text, space, g, end text of sand in his sandbox. He brings home another 7{,}400\text { g}7,400 g7, comma, 400, start a text, space, g, end text of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now? \text{kg}kg
Question:
James has 14,500g of sand in his sandbox. He brings home another 7,400g of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now?
Answer:
The quantity of sandbox James has is 21.9kg
Step-by-step explanation:
Given
Initial quantity of sandbox = 14,500 g
Additional quantity = 7,400 g
Required
Total quantity of sandbox in kg
Tp get the total quantity of sandbox, we simply add in the initial and additional quantity of sandbox together;
This is represented mathematically as follows;
Total = Initial Quantity + Additional Quantity
Total = 14,500 g + 7,400 g
Total = 21,900 g
But the question says the answer should be in kg
1000 g is equivalent to 1 kg
21,900 g will be equivalent to [tex]\frac{21,900}{1,000} kg[/tex]
[tex]21,900g = \frac{21,900}{1,000} kg[/tex]
[tex]21,900g = 21.9 kg[/tex]
Hence, the quantity of sandbox James has is 21.9kg
How many times should she expect to roll a number that is greater than 4
What number is a solution of the inequality c>5 use the number line to help answer the question
Answer:
I attached a file for the number line answering the question.
Step-by-step explanation:
Answer:
Any number more than 5
Step-by-step explanation:
It is known that one of the factors of -24 is negative. How can it be determined if the chosen factor was the correct negative factor?
A) Check by adding the two binomial factors. If the middle term is -10x, not 10x, switch the signs of the factors of -24.
B) Check by adding the two binomial factors. If the middle term of 10x, not -10x, switch the signs of the factors of -24.
C) Check by multiplying the two binomial factors. If the middle term is -2x, not 2x, switch the signs of the factors of -24.
D) Check by multiplying the two binomial factors. If the middle term is 2x, not -2x, switch the signs of the factors of -24.
Answer:
Step-by-step explanation:
C bc
Answer:
The answer would be D
I had had this answer before
Hope this helped