Answer:
16
Step-by-step explanation:
4^2 = 16
4×4=16 thats the answer
A single card is drawn from a standard 52 card deck. Work out the probability of choosing "an ace". Give your answer in its simplest form.
Answer:
total number of ace=4
probability of getting an ace =4/52
=1/13
hope it helps you
The probability of choosing "an ace" from the pack of 52 cards is 1/13.
ProbabilityWhat is probability?In mathematics, a random event's occurrence is called probability. The range of the value is 0 to 1.
Formula for probability:
By simply dividing the favourable number of outcomes by the entire number of possible outcomes, one can use the probability formula to determine the likelihood of an event.
Probability = Number of favourable outcome/ Number of total outcome
Calculation for choosing an ace:
The total number of cards present in the standard deck of cards is 52.
Total number of ace present in the pack is 4.
So, the probability of getting an ace is = total number of ace /total number of card is deck
Probability = 4/52
Probability = 1/13
Therefore, the probability of getting an ace from the pack of well shuffled cards is 1/13.
To know more about the how the probability of getting an ace or black card calculated, here
https://brainly.com/question/5858025
#SPJ2
How many 50ml can be filled from 5L
The grade point average collected from a random sample of 150 students. Assume that the population standard deviation is 0.78. Find the margin of error if cequals0.98.
Answer:
15%
Step-by-step explanation:
To calculate the margin of error, we can adopt this formula
Margin of error = critical value* (standard deviation/sqrt of sample size)
Where critical value is 2.33, sd is 0.78 and sample size is150.
Thus, we have:
Margin of error = 2.33*(0.78/√150)
Margin of error = 2.33*(0.78/12.2474)
Margin of error =2.33*0.06369
Margin of error = 0.1484 which is a 15% margin of error
perimiter question asap answer
The perimeter of the figure is 58 m.
To find the perimeter of the given figure we can divide the figure in three rectangles.
Rectangle 1:
Perimeter= 2 (l + w)
= 2(5 + 2)
= 2 x 7
= 14 m
Rectangle 2:
Perimeter= 2 (l + w)
= 2(5 + 1)
= 2 x 6
= 12 m
Rectangle 3:
Perimeter= 2 (l + w)
= 2(14 + 2)
= 2 x 16
= 32 m
So, the perimeter of the figure is
= 14 + 12 + 32
= 58 m
Learn more about Perimeter here:
https://brainly.com/question/7486523
#SPJ1
In the diagram, mcd=128º and mpA=76º. What is McABC?
Answer:
D. 102°Step-by-step explanation:
m∠ABC = m∠ABD + m∠CBD = Angle addition postulate1/2mCD + 1/2mAD = Angle measure is the half the intercepted arc1/2(128) + 1/2(76°) = 102°Which shows the correct way to
calculate the percent change if the
original value of your stock was $750
and the new value of your stock is
$1,000?
A. (1,000+ 750)/750 = 230%
B. (750-1,000)/1,000 = -25%
C. (1,000-750)/750 = 33%
The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.
C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%
Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.
Please answer my question, It's for a massive test and I don't want to fail.
20 Points, please help me.
Answer:
\(4 \frac{1}{4}\)
Step-by-step explanation:
\(115 \frac{3}{5} = (27\frac{1}{5} ) (x)\\\\115 \frac{3}{5} / 27\frac{1}{5} = x\\\\x = 4.25... or... 4 \frac{1}{4}\)
Move the numbers to the lines to order them from least to greatest
Answer:
-3/2, 1.25, |-9/4|, 2.5, 121
Step-by-step explanation:
Convert all numbers to a decimal
-3/2 = -1.5
|-9/4| = 2.25
2.5 = 2.5
121 = 121.0
1.25 = 1.25
Now put them in order from least to greatest.
-3/2, 1.25, |-9/4|, 2.5, 121
The numbers to the lines to order from least to greatest; -3/2, 1.25, |-9/4|, 2.5, 121
How can we express numbers belonging to decimal numeral system?Suppose that the number is abcd.efg and belongs to the decimal numerical system.
Remember one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.
Convert all the numbers to a decimal
-3/2 = -1.5
|-9/4| = 2.25
2.5 = 2.5
121 = 121.0
1.25 = 1.25
Now put them in order from least to greatest, we get;
-3/2, 1.25, |-9/4|, 2.5, 121
Learn more about place value here:
https://brainly.com/question/17983725
#SPJ2
8(5b + 3) = 10(4b + 2)
Answer:
=40b+24
Step-by-step explanation:
Can someone help me find \(\frac{8}{7} = m + \frac{2}{8}\)
Answer:
m=25/28
Step-by-step explanation:
Fifteen percent of 168
Answer:
25.2
Step-by-step explanation:
168 x .15 = 25.2
\(\large\text{Hey there!}\)
\(\rm{15\%\ of\ 168}\\\\\rm{= 15\% \times 168} \\\\\rm{= \dfrac{15}{100}\times 168}\\\\\rm{= \dfrac{15}{100}\times \dfrac{168}{1}}\\\\\rm{=\dfrac{15\times168}{100\times1}}\\\\\rm{= \dfrac{2,520}{100}}\\\\\rm{= 25.2}\)
\(\huge\text{Therefore, your answer should be: }\)
\(\huge\boxed{\frak{25.2}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
need help with geometry
To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:
Volume = π * r² * h
Substituting the given values, we have:
\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)
To solve for h, we divide both sides of the equation by 153.86:
h = 1500 / 153.86
h ≈ 9.75
Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.
Therefore, the height of the cylinder is 9.75 inches.
Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.
For more such questions on volume
https://brainly.com/question/27710307
#SPJ8
0.9=10^(-e)×0.001
find the value of e .
Answer:
blah blah blah blah blah blah blah blah blah
Select the correct answer. Using synthetic division, find (2x4 + 4x3 + 2x2 + 8x + 8) ÷ (x + 2). A. B. C. D.
Step-by-step explanation:
If you use synthetic division, you get,
\(2x {}^{3} + 2x + 4 + \frac{0}{x + 2} \)
Which is,
\(2x {}^{3} + 2x + 4\)
Answered by GAUTHMATH
Answer:
The correct answer is:
2x^3+2x+4
Step-by-step explanation:
I got it right on the Plato test.
One requirement can be met while the other fails. Show this by finding
(a) A set of vectors in R2 for which x+y stays in the set but 1/2x may be outside.
(b) A set of vectors in R2 (other than two quarter-planes) for which every cx stays in the set but x+y may be outside.
Forever c x stays in the set but x+y may be out side the set.
What is set?
A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.
a consider the set of vectors in \($\mathbb{R}^2$\)
\(A=\left\{\left(x_1, x_2\right) \in \mathbb{R}^2 \mid x_2 \geqslant 2\right\} .$$\)
where\($x=\left(x_1, x_2\right)$\)
Then for any \($x=\left(x_1, x_2\right), y=\left(y_1, y_2\right) \in A$\)
ere that\($x+y=\left(x_1+y_1, x_2+y_2\right) \in A\left(\right.$ Since $x_2+y_2 \geqslant 2+2$\)
But take \((4,2) \in A$.\)
Then \(\frac{1}{2}(4,2)=(2,1) \notin A$.\)
ce. \($\frac{1}{2}(4,2)$\) belongs outside the set
i.. I some vectors in A such that\(\frac{1}{2} x \notin A$\).
b Consider the set of vectors in \($\mathbb{R}^2$\)
\(A=\left\{\left(x_1, x_2\right) \in \mathbb{R}^2 \mid \begin{array}{ll}\frac{1}{2} x_1 \leq x_2 \leq \frac{3}{2} x_1 & \text { if } x_1 \geqslant 0 \\\frac{3}{2} x_1 \leq x_2 \leq \frac{1}{2} x_1 & \text { if } x_1 < 0\end{array}\right\}$$\)
The geometrical representation of this set is
see that for any scalar \($c, \quad c x=e\left(x_1, x_2\right) \in A$\). But if we take \((3,2) *(-2,3-3) \in A$ but $(3,2)+(-2,-3)=(1,-1) \& A$\).
Thus forever c x stays in the set but x+y may be out side the set.
To learn more about set visit:https://brainly.com/question/8053622
#SPJ4
Which statement is true about the graphed function
What is the approximate area of the shaded sector in the circle shown below
A.29.04 in^2
B.13.51 in^2
C.7.26 in^2
D.6.75^2
Answer:
please provide the diagram
Step-by-step explanation:
for the solution figure is necessary so provides us to solve this problem
HELP PLS Match each graph with the logarithmic function it represents
Each graph has been matched with the logarithmic function it represents as follows:
f(x) = 3 - 4In (x-2) = graph 3.f(x) = 3 - Inx = graph 1.f(x) = In(x + 1) = graph 4.f(x) = 2In(x + 3) = graph 2.What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.
The types of function.In Mathematics, there are different types of functions and these include the following;
Periodic functionInverse functionModulus functionSignum functionPiece-wise defined function.Logarithm functionWhat is a logarithm function?A logarithm function can be defined as a type of function that represents the inverse of an exponential function. Mathematically, a logarithm function is written as follows:
y = logₐₓ
In this exercise, you're required to match each graph with the logarithmic function it represents as shown in the image attached below:
f(x) = 3 - 4In (x-2) = graph 3.f(x) = 3 - Inx = graph 1.f(x) = In(x + 1) = graph 4.f(x) = 2In(x + 3) = graph 2.Read more on logarithm function here: https://brainly.com/question/13473114
#SPJ1
What fraction of 6 weeks is 6 days
Answer:
\(\frac{1}{7}\)
Step-by-step explanation:
6 weeks is 42 days.
6 days/42 days = 1/7
Mr. Chi wants to sell his house. The state he lives in charges a 3.2% sales tax on the sale of a house. The county charges a 2.6% sales tax, and the city charges a 1.8% sales tax. If Mr. Chi sells his home for $289,300, what is his total tax bill?
Answer:
To calculate Mr. Chi's total tax bill, we need to find the amount of sales tax charged by each entity and add them together.
The state sales tax on the sale of a house is 3.2%, which means Mr. Chi will owe 0.032 x $289,300 = $9,267.20 in state sales tax.
The county sales tax on the sale of a house is 2.6%, which means Mr. Chi will owe 0.026 x $289,300 = $7,520.80 in county sales tax.
The city sales tax on the sale of a house is 1.8%, which means Mr. Chi will owe 0.018 x $289,300 = $5,207.40 in city sales tax.
Therefore, Mr. Chi's total tax bill will be $9,267.20 + $7,520.80 + $5,207.40 = $21,995.40.
Find x please i’ll give brainlist
The value of x is 13
What is sum of angle in a polygon?To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.
Since the polygon is a quadrilateral, i.e four sides . The sum of the angle = (4-2) 180 = 2 × 180
= 360
Therefore ;
130+8x+13+ 20+ 6x+15= 360
178+14x = 360
14x = 360 - 178
14x = 182
divide both sides by 14
x = 182/14
x = 13
therefore the value of x is 13
learn more about sum of angle in a polygon from
https://brainly.com/question/224658
#SPJ1
Select the law that shows that the two propositions are logically equivalent. -((w V p) ^(-91q1w)) -(w V p) v-(-91qAw) a. DeMorgan's law b. Distributive lawc. Associative law d. Complement law
The rule demonstrating the logical equality of the two claims. -((w V p) ^(-91q1w)) DeMorgan's law has the form -(w V p) v-(-91qAw).
What is meant by DeMorgan's law?By using their opposites, De Morgan's Laws explain how mathematical assertions and concepts are connected. The intersection and union of sets are connected by complements according to De Morgan's Laws in set theory. The De Morgan's Laws are rules of propositional logic that use negation to connect conjunctions and disjunctions of propositions.The complement of the intersection of the complements of two sets A and B is equal to the complement of the union of two sets A and B, according to De Morgan's first law. According to De Morgan's Law, "(P and Q)" and "not (not P or not Q)" are logically equal. If they are logically similar, then it should follow that "(P and Q)" implies "not (not P or not Q)," and "not (not P or not Q)" implies "(P and Q)".To learn more about DeMorgan's law, refer to:
https://brainly.com/question/21353067
#SPJ4
5
After simplifying the expressions on each side of an equation, you observed that the coefficients of x and the constants
on each side of the equal sign were the same. What kind of solution(s) do you expect for this equation?
No solution
Infinitely many solutions
One unique solution
T
Answer:
The solution has infinitely many solutions.
Step-by-step explanation:
Correct option is - The solution has infinitely many solutions.
The expression is of the form -
ax + b = ax + b
In the expression , any value of x will satisfy
So, we get infinitely many solution
For example -
for x = 1
a(1) + b = a(1) + b
⇒ a + b = a + b
satisfied.
for x = 2
a(2) + b = a(2) + b
⇒ 2a + b = 2a + b
satisfied.
Hereon, for any value of x , it satisfies.
(-2, 5) and (-4,-5).
Answer: the distance between the points (-2, 5) and (-4, -5) is approximately 10.198 units.
Step-by-step explanation:
(-2, 5) and (-4,-5) are two points in the coordinate plane.
The first point (-2, 5) has an x-coordinate of -2 and a y-coordinate of 5. This point is 2 units to the left of the y-axis and 5 units above the x-axis.
The second point (-4, -5) has an x-coordinate of -4 and a y-coordinate of -5. This point is 4 units to the left of the y-axis and 5 units below the x-axis.
To find the distance between these two points, we can use the distance formula:
distance = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Plugging in the coordinates of the two points, we get:
distance = sqrt[(-4 - (-2))^2 + (-5 - 5)^2] = sqrt[(-2)^2 + (-10)^2] = sqrt[104]
So the distance between the points (-2, 5) and (-4, -5) is approximately 10.198 units.
15 tens 7 ones what is the answer?
Answer:
157
Step-by-step explanation:
Answer: 15 tens and 7 ones in standard form would be 157. If you have 15 tens this means that you are adding 10, 15 times or multiplying 10 by 15, which gives you 150.
Step-by-step explanation: Hopefully this helped!
What is one fifth of twenty more than half
of 80?
(A) 8
(B) 10
(C) 12
(D) 13
Answer:
(C) 12
Step-by-step explanation:
To solve this problem, we can use the following steps:
Find half of 80: 80/2 = 40
Add 20 to half of 80: 40 + 20 = 60
Find one fifth of the result: 60/5 = 12
Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.
Answer:
(C) 12
Step-by-step explanation:
What is one fifth of twenty more than half of 80
0.5 × 80 = 40
What is one fifth of twenty more than half of 80
40 + 20 = 60
What is one fifth of twenty more than half of 80
1/5 × 60 = 60/5 = 12
What is the answer to −517÷97?
5.3 ? I think.
The mixed number ver is -5 32/97
If a fair coin is tossed 8 times, what is the probability, rounded to the nearest
thousandth,of getting at least 6 heads?
The probability of getting at least 6 heads is3/256 or 0.0117
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.
Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.
Given that,
A fair coin is tossed = 8 time.
We have to find the probability of getting at least 6 heads.
Since, the probability of getting head, when one coin is tossed = 1/2
And the probability of getting tale = 1/2
The probability of getting head at least 6 times when coin is tossed 8 times can be given as,
The head can come 6 times, then probability = \((1/2)\x^{6} (1/2)\x^{2}\) = (1/2)⁸
The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸
The head can come 8 times, then probability = (1/2)⁸
The probability of getting head at least 6 times
= (1/2)⁸ + (1/2)⁸ + (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117
The probability of getting at least 6 heads is3/256 or 0.0117
To know more about Probability on:
brainly.com/question/12478394
#SPJ1
If a new car is valued at $20,600 and 8 years later it is valued at $7000, then what is the average rate of change of its value during those 8 years?
dogs to cats is 2:7 there are 90 animals how many are cats
\(cats = \frac{90}{2 + 7} \times 2 = 20 \: cats\)