The probability of an outcome not less than 8 is 1/8
How to determine tthe probability of an outcome not less that 8from the question, we have the following parameters that can be used in our computation:
The spinner
Where we have
Sections = 3
Sections not less than 8 = 1
using the above as a guide, we have the following:
Probability of an outcome not less than 8 = 1/8
Hence, the probability of an outcome not less than 8 is 1/8
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The probability of getting a number not less than 8 is 3/10 or 0.33.
If the spinner has numbers 1 through 10 evenly distributed, the probability of getting a number not less than 8 can be calculated as follows:
There are 10 possible outcomes (numbers 1 through 10 on the spinner).
Out of these 10 outcomes, there are 3 outcomes (8, 9, and 10) that are not less than 8.
Therefore, the probability of getting a number not less than 8 is 3/10 or 0.3.
Alternatively, it can be expressed as a fraction: 0.33
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[25x^{2} + 16y^{2}
plz factor
Answer:
\((5x)^2+(4y)^2\)
Step-by-step explanation:
\(25x^2+16y^2=\\(5x)^2+(4y)^2\)
Hope this helps!
find the rank, nullity, and bases of the range spaces and null spaces for each of the following matrices. you must show your work, or explain your thought process; a correct numerical answer is not sufficient.
If A is a matrix of order m × n, then
Rank of A + Nullity of A = Number of columns in A = n
Now, According to the question:
What is rank nullity theorem and range?The rank-nullity theorem states that the dimension of the domain of a linear function is equal to the sum of the dimensions of its range (i.e., the set of values in the codomain that the function actually takes) and kernel (i.e., the set of values in the domain that are mapped to the zero vector in the codomain).
What is range and null space of a matrix?The range null-space decomposition is the representation of a vector space as the direct sum of the range and the null space of a certain power of a given matrix.
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The given question is incomplete,
So, The question is:
What is rank nullity theorem and range and null space ?
Given oo below, if AB and Bē are congruent, what is the measure of chord
BC?
Answer:
14.5 units
Step-by-step explanation:
AB= BC
BC = 14.5 units
Suppose the random variable X has mean 10 and variance 3. Find an upper bound for the probability: P (X > 15).
Therefore, the solution to the given problem is that the upper bound for P(X>15) is 3/25
what is a variance?The variance is the difference between the numbers in a set of data, to put it simply. Each number's variability is a statistical statistic that indicates how far off from the mean and from each other number in the set it is.
Here,
Given : mean = 10
varience = 3
Using chebyshevs inequality we have
P(|X-u| ≥ k)≤ \(\sigma^{2}\)/\(k^{2}\)
hence we can have,
=> P(X>15) ≤ 3/\(5^{2}\)
=> P(X>15) ≤ 3/25
Therefore, the solution to the given problem is that the upper bound for P(X>15) is 3/25
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Now answer the question:
Juan and his children went into a grocery store and he bought $4 worth of apples and
bananas. Each apple costs $1 and each banana costs $0.50. He bought a total of 6
apples and bananas altogether. Determine the number of apples, x, and the number
of bananas, y, that Juan bought.
Juan bought apples and
bananas.
Answer:
2 apples and 4 bananas
Step-by-step explanation:
Given info:
He bought $4 worth of apples and bananas. Each apple costs $1 and each banana costs $0.50. He bought a total of 6 apples and bananas altogether.Question given:
Determine the number of apples, x, and the number of bananas, y, that Juan bought.
Solution:
Since, we know that;
apples = x
bananas = y
Cost of each apple = $1 & Cost of each banana = $ 0.50
Total = 6
The equation that represents the following information:
x + y = 6
x + 0.5y = 4
We can multiply the top equation by -1 so it becomes -x -y = 6
-x - y = 6
x + 0.5y = 4
Now, we can use elimination to cancel out the x.
-0.5y = -2
y = 4
Because y=4, x must be 2 since x+y=6. So,
x = 2 and y = 4
Which means;
Juan bought 2 apples and 4 bananas.
~kavinsky
A human resource manager for a large company takes a random sample of 60 employees from the company database. Based on the sample she calculates a 95% confidence interval for the mean time of employment for all employees to be 8.7 to 15.2 years. Which of the following will provide a more informative (i.e., narrower) confidence interval than the 95% confidence interval?
A. Using a 90% confidence level (instead of 95%)
B. Using a 99% confidence level (instead of 95%)
C. Using a sample size of 40 employees (instead of 60)
D. Using a sample size of 90 employees (instead of 60)
Answer:
A. Using a 90% confidence level (instead of 95%)
D. Using a sample size of 90 employees (instead of 60)
Step-by-step explanation:
The margin of error of a confidence interval is given by:
\(M = z*\frac{\sigma}{\sqrt{n}}\)
In which z is related to the confidence level, \(\sigma\) is the standard deviation of the population and n is the size of the sample.
The higher the margin of error, the less precise the confidence interval is.
We have:
A 95% confidence interval, with a sample of 60.
We want to make it more precise:
Two options, decrease z(decrease the confidence level), or increase n(increase the sample size).
So the correct options are:
A. Using a 90% confidence level (instead of 95%)
D. Using a sample size of 90 employees (instead of 60)
f(x)=4x^{2}-8x-5 f(x)=4x 2 −8x−5 \text{Find }f(-7) Find f(−7)
The value of given quadratic equation at -7 is 247.
What is quadratic equation?
The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:
ax² + bx + c = 0
where x is the unknown variable and a, b and c are the constant terms.
given ,f(x) = \(4x^{2} -8x-5\) to find f(-7)
f(-7)= 4(49)-8(-7)-5
=196+56-5
=247
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Lia can rent a van for either $90 per day with unlimited mileage or $50 per day with 250 free miles and an extra 25¢ for each mile over 250. For what number of miles traveled in one day would the unlimited mileage plan save Lia money? (Show work)
Answer:
ok so 90 is 40 more dollars then 50 and there is 4 25 cents in each dollars so
4*40=160
so she would have to drive 161 miles to save money
Hope This Helps!!!
$18.99 CD, 28% markup what is the mark up on the CD
Answer:
twenty four dollars thirty cents
How to find the range?
Answer:
y>0
Step-by-step explanation:
Since your X is a real number, meaning a positive number, you can try and substitute multiple positive values in your equation. You would notice that you will only receive positive values of Y. Speaking of =ve/-ve values, you can't square root a negative value anyways, this further proves that your Y can't be a negative number.
Work out 30% of $150
Answer:
$\(45\)
Step-by-step explanation:
\(30\)% \(\mathrm{of}\) $\(150\)
\(=\frac{30}{100}\times 150\\\)
\(=\) $\(45\)
anyone know who Howard is ?
Answer:
Howard stark or Howard the duck?
Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. Find the weight per carton.
Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.
Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.
How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.
Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.
The weight per carton is 55 pounds.
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2(x+50)=16+4x
What is x?
Answer:
x=42
Step-by-step explanation:
Write the equation.
2(x+50)=16+4x
Spread the parentheses
2x+100=16+4x
Put variables on one side, numbers on the other.
2x-4x=16-100
Add/subtract/multiply/divide the variables with variables and numbers with numbers.
-2x=-84
Make x alone
-x=-42
Flip sides to make x positive
42=x
The temperature inside my refrigerator is about 40 Celsius. That temperature in Kelvin is K.
I place a balloon in my fridge that initially has a temperature of 220 C. This is K.
If the original volume of the balloon is 0.5 liters, what will be the volume of the balloon when it is fully cooled by my refrigerator? liters. (Round to two decimal places)
To solve this problem, we need to use Charles's law, which states that, at constant pressure, the volume of a sample of gas is directly proportional to its temperature.
The law can be expressed mathematically as:
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{ \frac{V_1}{T_1}=\frac{V_2}{T_2} } \end{gathered}$} }\)
Where:
V₁ is the initial volumeT₁ is the initial temperatureV₂ is the final volumeT₂ is the final temperatureNow we obtain the data to continue solving:
V₁ = 0.5 LT₁ = 220 °CV₂ = ?T₂ = 40 °CNow, we will convert the temperatures to Kelvin:
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{T_1=220 \ ^{\circ}C+273=493 \ Kelvin} \end{gathered}$} }\)
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{T_2=40 \ ^{\circ}C+273= 313 \ Kelvin} \end{gathered}$} }\)
Now we solve for V₂:
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2=\frac{V_1T_2}{T_1 } } \end{gathered}$} }\)
Where:
V₁ is the initial volumeT₁ is the initial temperatureV₂ is the final volumeT₂ is the final temperatureNow, we substitute the values in the formula:
\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2=\frac{(0.5 \ L\times313\not{k} )}{493\not{k} } } \end{gathered}$} }\)
\(\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2\approx0.32 \ Liters } \end{gathered}$} }}\)
The final volume of the balloon, when completely cooled in the refrigerator, will be approximately 0.32 liters.PLZ HELP I NEED THE ANSWER RIGHT NOW
Answer:
Step-by-step explanation:
d
8 jump ropes and 4 dolls cost $64 and 4 jump ropes and 8 dolls cost $92 how much will 12 jump ropes and 12 dolls cost?
Q11. Find the missing term in the following sequence: 4, 9, 19,79
0 36
O 37
0 38
O 39
40
pls help me!! thank you!!
Full working out shown from step 1 to last.
follow it and you get 24 square feet as final answer. Good luck in other questions!!!
what is the measure of m∠B
9514 1404 393
Answer:
40°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
(6x)° +x° +(2x)° = 180°
9x = 180
x = 20
∠B = (2·20)° = 40°
What is the GCF of 12, 30, and 18?
Answer:
6
Step-by-step explanation:
Answer: 6
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
Then the greatest common factor is 6.
Write 7/25 as a decimal show your work
Answer:
0.28 is a decimal and 28/100 or 28% is the percentage for 7/25.
Step-by-step explanation:
i needhelp one more little crown plzz
25x4=100
7x4=28
28/100
0.28
28%
i barely remember how to do this
should b a decimal in between 7 and 00 i think idk
need help with volume !!
Answer:
16m
Step-by-step explanation:
4 x 2 = 8
8 x 2 = 16
What is an equation of the line that passes through the point (6,3) and is parallel to
the line x + 3y = 24?
Answer:
x + 3 y = 15
Step-by-step explanation:
line is paralle that means that coefficient next to x mand y must be the same
so the equation of the line will be
x + 3y = a
we have to find a, we know that line passes throgh (6,3) so
6 + 3 * 3 = a
a = 15
the line has an equation
x + 3 y = 15
Which of the following sets of ordered pairs defines a relation that is NOT a function? A {(1, 5), (5, 1), (7, 9), (9, 7)} B {(6, 7), (8, 10), (13, 9), (21, 10)} C {(2, 2), (3, 4), (5, 8), (12, 16)} D {(5, 14), (5, 16), (7, 23), (11, 31)}
The set of ordered pairs that is not a function is given as follows:
D {(5, 14), (5, 16), (7, 23), (11, 31)}.
When does a relation represents a function?A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.
For a point in the standard format (x,y), we have that:
x is the input.y is the output.The meaning is that the input given by the x-coordinate is mapped to the output given by the y-coordinate.For item d, we have that:
An input of 5 is mapped to an output of 14.An input of 5 is also mapped to an output of 16.Hence the relation given by option d in this problem is not a function.
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Walmart was having a sale on video games. They offered a 15% discount on a game that was originally priced at $30. After the sale, the discounted price of the game was increased by 10%. What is the new price of the game after this increase?
Answer:
28.05$
Step-by-step explanation:
The game got a discount of 15%.
New price is (30$) ( 0.85 ) = 25.5$ (since the discount is 15% you only pay for the 85% of the original price)
Then an increase of 10%. this is:
New price: 25.5$ (1.10) = 28.05
New price is 28$ with 5 cents
Please show your work and I will give you Brainest Solve using elimination (IXL Skill ZQV). Show all your work.
6x + 3y = 12
-2x - 5y = 20
Answer:
(5, - 6)Step-by-step explanation:
Given system:
6x + 3y = 12-2x - 5y = 20Triple the second equation and add up with the first one to eliminate the variable x:
6x + 3y - 6x - 15y = 12 + 60-12y = 72y = - 6Find x:
6x - 6*3 = 126x - 18 = 126x = 30x = 5Find the solution to the following system of equations using the addition method. 5x - 3y = 12 -4x + 3y = 5 (13, -4)
Answer: You didn't give answer choices but I think the answer would be (17, 73/3)
Jason bought some stickers on Saturday. He used 5 of them that same day. When he went back on Sunday, he bought 4 more stickers. Write an expression that represents the number of stickers Jason has.
Answer:
\(Stickers = s - !\)
Step-by-step explanation:
Analysing the question, line by line.
Let the number of stickers be s/
So:
\(Stickers = s\)
He used 5 of them
\(Stickers = s - 5\)
He bought 4 more
\(Stickers = s - 5 + 4\)
\(Stickers = s - !\)
pancake recipe calls for `8` eggs, but Alisha only has `3` eggs.
Adjust the amount needed for each ingredient in the table so that the recipe still tastes the same with only `3` eggs.
Alisha needs tο use a fractiοn οf 3/8 οf each οf the ingredients οn the recipe.
What is Fractiοn?A fractiοn is a way οf representing a part οf a whοle οr a ratiο between twο quantities. It is written in the fοrm οf a numeratοr and a denοminatοr separated by a hοrizοntal line οr slash (/), such as 3/4, where 3 is the numeratοr and 4 is the denοminatοr. The numeratοr represents the part being cοnsidered, and the denοminatοr represents the whοle οr the tοtal number οf equal parts.
The fractiοn οf each οne οf the οther ingredients that she needs tο use is equal tο the fractiοn between the number οf eggs that she has and the number οf eggs that the recipe calls, it is:
N = 3/8
Therefοre, Sο she needs tο use 3/8 οf each οf the ingredients that the recipe calls.
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