The probability of getting a heart from the first deck and then a diamond on the second deck will be 6.25%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The probability of getting a heart from the first deck = 13/52.
And the probability of getting a diamond from the second deck = 13/52.
So, The probability of getting a heart from the first deck and then a diamond on the second deck will be,
Probability = (13/52) × (13/52) = 0.0625 = 6.25%
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list 4 factors of 24. list 4 multiples of 24.
Answer:
Factors of 24: 1, 2, 3, 4, 6 etc.
Multiples of 24: 48, 72, 96, 120
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
Factors of 24:24 can be written as:
= 1 × 24
= 2 × 12
= 3 × 8
= 4 × 6
So, 1, 2, 3, 4, 6, 8, 12 and 24 are the factors of 24.
Multiples of 24 are:1 × 24 = 24
2 × 24 = 48
3 × 24 = 72
4 × 24 = 96
and so on...
So, the first 4 multiples of 24 are 24, 48, 72 and 96.
[tex]\rule[225]{225}{2}[/tex]
Which of the following demonstrates the Distributive Property?
3(4a + 2) = 12a + 6
3(4a + 2) = 12a + 2
3(4a + 2) = 4a + 6
3(4a + 2) = 7a + 5
Answer:
[tex]\fbox {3(4a + 2) = 12a + 6}[/tex]
Step-by-step explanation:
⇒ 3(4a + 2)
⇒ 3(4a) + 3(2)
⇒ 12a + 6
Answer:
A) 3(4a + 2) = 12a + 6
Step-by-step explanation:
This is the correct answer because the distributive property is where you break up all the numbers and pretty much that is what you do in A.
3 * 4a = 12a
3 * 2 = 6
So then, as you can see, the answer would be 12a + 6.
This is another explanation, even though they are LITERALLY the same.
Apply the distributive property.
3 (4a) + 3 ⋅ 2
Multiply 4 by 3.
12a + 3 ⋅ 2
Multiply 3 by 2.
12a + 6
Brainliest pls
elect the correct answer.
which direction must the graph of f(x) = 2* be shifted to produce the graph of g(x) = 2(x+8)
OA. left
OB. right
O C.
down
OD.
The answer to this question is (A) left.
9)Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The
other end of the leash is tied to the top of an 8-foot pole. How far can Rover roam from the
pole?
The dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.
What is the Pythagoras theorem?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The other end of the leash is tied to the top of an 8-foot pole.
After drawing a right-angle triangle from the above information.
Applying Pythagoras' theorem:
60² = 6² + x²
After solving:
x = 59.69 ≈ 59.7 foot
Thus, the dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.
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Tyrone paid $234.33 for a new watch, after-tax, and the tax rate is 7%. What was the original price of the watch?
the price of the watch plus tax = 100% + 7% = 107%
Divide the total cost by 107%:
234.33 / 1.07 = 219.00
The original price was $219.00
Will give brainliest or whatever it’s called
C is the right answer.
hope it helps...
Answer:
C.
Step-by-step explanation:
Calculating this in Desmos, the closest equation to the points on the graph will have to be c
a and b are positive integers and 7a+ 5b= 49. Find the values of a and b.
3.1 What is a?
2 What is b?
Answer:
B = 49/5 - 7a/5
A = = -5b/7 + 7
Step-by-step explanation:
Given that,
7a+ 5b= 49
Solution:
Solving for a:
Add -5b to both sides:
[tex]7a+5b - 5b=49 - 5b[/tex][tex]7a = - 5b + 49[/tex]Divide both sides by 7:
[tex] \cfrac{7a}{7} = \cfrac{ - 5b + 49}{7} [/tex][tex]a = \cfrac{ - 5b}{7} + 7[/tex]Hence,a = -5b/7 + 7.
Solving for b:
Add -7a to both sides:
[tex]7a+5b+( - 7a)=49+(−7a)[/tex][tex]7a + 5b - 7a = 49 - 7a[/tex][tex]5b = 49 - 7a[/tex]Divide both sides by 5:
[tex] \cfrac{5b}{5} = \cfrac{49 - 7a}{5} [/tex][tex]b = \cfrac{49}{5} - \cfrac{7a}{5} [/tex]Hence,b = 49/5 - 7a/5.
Which expression can be used to an identity with [(sin)(sec)]^2 + 1?
Answer:
A
Step-by-step explanation:
sin*sec=tan
tan^2+1=sec^2 by an identity
which of the following expresses the coordinates of the foci of the conic section shown below? (x-2)^2/4+(y+5)^2/9
Step-by-step explanation:
[tex] \frac{(x - 2) {}^{2} }{4} + \frac{(y + 5) {}^{2} }{9} = 1[/tex]
This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a
The formula for the foci of the vertical ellipse is
(h,k+c) and (h,k-c).
where c is
Our center (h,k) is (2, -5)
[tex] {c}^{2} = {a}^{2} - {b}^{2} [/tex]
Here a^2 is 9, b^2 is 4.
[tex] {c}^{2} = 9 - 4[/tex]
[tex] {c}^{2} = 5[/tex]
[tex]c = \sqrt{5} [/tex]
So our foci is
[tex](2, - 5 + \sqrt{5} )[/tex]
and
[tex](2, - 5 - \sqrt{5} )[/tex]
The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.
On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 1) and goes through (1, 5) and (2, 25). g (x) approaches y = negative 10 in quadrant 2 and increases into quadrant 1. It goes through (0, negative 9), (1, negative 5), (2, 15).
What is the equation of g(x)?
g(x) = 5x – 9
g(x) = 5x – 10
g(x) = 5x – 9
g(x) = 5x – 10
According to the function transformations, the equation of function g(x) is [tex]g(x) = 5^x - 10[/tex]
How to determine the equation of g(x)?The complete question is in the attachment
The function f(x) is given as:
[tex]f(x) = 5^x[/tex]
From the attached graph, we can see that the function f(x) is 10 units down to get g(x).
This is so because the y values of g(x) are 10 less than the corresponding y values of f(x)
This transformation is represented by:
(x, y) => (x, y - 10)
So, we have:
g(x) = f(x) - 10
Substitute [tex]f(x) = 5^x[/tex]
[tex]g(x) = 5^x - 10[/tex]
Hence, the equation of function g(x) is [tex]g(x) = 5^x - 10[/tex]
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Find x
proportions with similar triangles.
Answer:
32
(this is just an approximation due to the left triangle)
Tim go to school.His age is a cube number.His age is double 1 square number and half a different square number.How old is Tim?
a) Construct a 95% confidence interval for the average test score for Delhi students. (1 Mark)
(b) Is there statistically significant evidence that Delhi students per form differently than other students in India? (1 Mark)
(c) Another 503 students are selected at random from Delhi. They are given a 3-hour preparation course before the test is administered. Their average test score is 1019, with a standard deviation of 95. Construct a 95% confidence interval for the change in average test score associated with the preparation course. (2 Marks)
(d) Is there statistically significant evidence that the preparation course helped? (1 Mark)
The solution to all the answers are given below.
The complete question includes
Grades on a standardized test are known to have a mean of 1,000 for students in the Delhi. 453
randomly selected Delhi students take the test, yielding sample mean of 1,013 and sample standard
deviation (s) of 108.
What is Confidence Interval ?It is given by
Confidence Interval for 95% confidence Interval is given by
[tex]\rm Z = X \pm 1.96 \dfrac{\sigma}{\sqrt{n}}[/tex]
(a) Construct a 95% confidence interval for the mean test score for Delhi students.
The confidence interval is given by
[tex]\rm 1,013 \pm 1.96 \dfrac{\sigma}{\sqrt{n}}[/tex]
[tex]\rm 1,013 \pm 1.96 \dfrac{108}{\sqrt{453}}[/tex]
1013 ± 5.07
so the interval is [1003.06,1022.94]
(b)Yes, since the null of no difference is rejected at the 5% significance level (interval excludes Delhi sample mean of 1,013)
(c) Another 503 Delhi students are randomly selected to take a 3-hour prep course and then give the test. Their average score is 1,019 with a standard deviation of 95.
The standard deviation now is
[tex]\rm \sqrt{\dfrac{95^2}{453} + \dfrac{108^2}{503}}[/tex]
= 6.61
The interval is given by
[tex](1,019-1,013) \pm 1.96 \dfrac{\sigma}{\sqrt{n}}[/tex]
= [-7,+19]
(d) No, the interval includes 0, the null difference between the two populations
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lexia ran three laps around her neighborhood. Each lap is 1 and StartFraction 3 over 8 EndFraction miles. Which is the best estimate of the number of miles that Alexia ran?
2 miles
3 and one-half miles
4 and one-half miles
6 miles
Answer: The best estimate of the number of miles that Alexia run is 4 miles.
Step-by-step explanation:
Since we have given that
Length of lap is given by
Number of laps around her neighborhood = 3
So, Total number of miles that Alexia ran is given by
Hence, the best estimate of the number of miles that Alexia run is 4 miles
help
Divide.
22.7 ÷ 0.04
Answer:
567.5
Step-by-step explanation:
it's 567.5. please add me to your followers
What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?
3x − 4y = −17
3x − 4y = −20
4x + 3y = −2
4x + 3y = −6
Answer:
4x + 3y = - 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
• Parallel lines have equal slopes
calculate the slope of the line using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line
m = [tex]\frac{-1-3}{3-0}[/tex] = [tex]\frac{-4}{3}[/tex] = - [tex]\frac{4}{3}[/tex] , then
y = - [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
to find c substitute (- 3, 2 ) into the partial equation
2 = 4 + c ⇒ c = 2 - 4 = - 2
y = - [tex]\frac{4}{3}[/tex] x - 2 ← equation in slope- intercept form
multiply through by 3 to clear the fraction
3y = - 4x - 6 ( add 4x to both sides )
4x + 3y = - 6 ← in standard form
Which equation represents this number sentence?
Two more than one-third of a number is 8
Answer:
Step-by-step explanation:
One - third = 1/3
then:
one third of a number = a*1/3 = a/3
Then the equation that represents this sentence is:
2 + a/3 = 8
process:
a/3 = 8 - 2
a/3 = 6
a = 6*3
a = 18
Check:
2 + 18/3 = 8
2 + 6 = 8
What is line r called and what are ∠1 and ∠2?
Answer:
The line r is the transversal and ∠1 and ∠2 are linear pairs.
Step-by-step explanation:
Angles such as matching angles, alternative angles, linear pair angles, etc. are created when a transversal intersects parallel lines.
Consequently, the parallel lines are p and q.
R is the transversal
The parallel lines p and q are divided by the transversal r.
As a result, lines 1 and 2 are linear pairs, and line r is the transversal.
Answer:
it is called a transversal (how do u not know this?)
A farmer raises only cows and Sheep. He wants to raise no more than 16 animals, including no more than 12 sheep. He spends birr 5 to raise a cow and Br 2 to raise a sheep. He has Br 50 available for this purpose. Cows sell birr 100 and sheep birr 50. Required: How many of each animal should he raise to maximize profit? What is the maximum profit?
Answer:
1050 max profit
Step-by-step explanation:
cow 5brr 30br 600 × 6 cows 570
sheep 2brr 20br 500 ×10 sheeps 480
sheep&cows = 1050 max profit
Which of the following is the graph of y= e^x + 1?
Answer + Step-by-step explanation:
y= e^x + 1
+ 1 will shift the graph up 1In the natural exponential function, eˣ = e power x, we employ e. In the eˣ function, the tangent line's slope to any point on the graph is equal to that point's y-coordinate. The sequence we employ to calculate the value of e is (1 + 1/n)Learn more about Natural Exponential Functions here: https://brainly.com/question/1979778
Express the division form of a+bi (1+3i) divided by (2+i)
Doug split a pack of cards so that he and his friends each got 6 cards. If there were 24 cards in the pack, how many friends did Doug share his cards with ?
Answer is not 4.
Answer:
3
Step-by-step explanation:
24 divided by 6 is 4, subtract Doug, there were 3 friends
27.9km to the nearest km
Answer: It rounds to 28 km
Explanation:
The units or ones digit is "7". The next digit over (9) is five or larger. This means we bump the 27 up to 28. Everything after the 7 is ignored.
So we could have something like 27.999871212512 and we still follow the same idea of focusing on the 27, bumping it up to 28, and everything else gets ignored.
The reason for this is because 27.9 is much closer to 28 than it is to 27. Draw out a number line to help see this. Split the region from 27 to 28 into 10 equal pieces. The 9th little piece represents 27 & 9/10 aka 27.9
Refer to the number line diagram below.
Lila wants to represent the following statement: seven times some number plus thirteen. How can she write this as an expression?
Answer: 7x+13
Step-by-step explanation:
7 is being multiplied by some number (x) and then the answer to that is added to 13.
The table shows the results of a survey of students in two math classes.
Find P(more than 1 hour of TV | 6th period class). Round to the nearest thousandth. Be sure to show and explain your work.
P(more than 1 hour of TV | 6th period class) is 0.352.
What is the probability?Probability determines the odds that a random event would happen. The odds of the random event happening lie between 0 and 1.
P(more than 1 hour of TV | 6th period class) = number of 6th period class students who watch tv for more than an hour / total number of students surveyed
12 / (12 + 9 + 5 + 8)
12 / 34 = 0.352
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What is the value of the rational expression below when x is equal to 4?
Answer: letter B (answer is 2)
Step-by-step explanation:
Will mark brainliest if you can help!
Answer:
ln(20) = 2.9957
Here given:
ln(4) = 1.3863
ln(5) = 1.6094
Evaluating with that:
[tex]\rm \Rightarrow ln\left(20\right)=ln\left(5\right)+ln\left(4\right)\\[/tex]
[tex]\rm \Rightarrow ln\left(20\right)=1.3863 \ + \ 1.6094[/tex]
[tex]\rm \Rightarrow ln\left(20\right)=2.9957[/tex]
What happened in this situation?
........................................................................................................
(Maya raises her hand)
Ms. Teacher: Yes, Maya?
Maya: Someone passed gas.
(Another student, Nylo, begins silently laughing)
(Another student, Lia, notices Nylo laughing)
Lia: it was Nylo.
(the entire class begins laughing, except for Maya)
...............................................................................................
Why did Lia think it was Nylo and expose them? And why didn't Maya laugh?
Answer:
It's because Maya friend did not pass gas
A rug is in the shape of a square. It measures 18 feet on each side. What is its perimeter?
Answer:
72ft²
Step-by-step explanation:
a square has 4 equal sides, when each one is 18ft, the total perimeter will be 18×4=72ft²
Hii!
_____________________________________________________
[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}\circ\leftharpoonup}}[/tex]
Perimeter of the rug = 72 ft
[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}\circ\leftharpoonup}}}[/tex]
[tex]\bullet[/tex] Let's work out the perimeter
[tex]\twoheadrightarrow\sf P=4a[/tex] a=length of one side
[tex]\bullet[/tex] Stick in the values
[tex]\twoheadrightarrow\sf P=4\cdot18[/tex]
[tex]\bullet[/tex] Multiply
[tex]\twoheadrightarrow\sf P=72ft[/tex]
--
Hope that this helped! Best wishes.
[tex]\stackrel\star{\textsl{Reach far. Aim high. Dream big.}}[/tex]
--
if x²+X+1=0 then what is the value of x²⁰¹⁵ + x²⁰¹³ + x
Since [tex]x^2 + x + 1 = 0[/tex] means [tex]x^2+x = -1[/tex], we have for any [tex]n[/tex] the recursive relation
[tex]x^n (x^2 + x) = x^{n+2} + x^{n+1} = -x^n \implies x^{n+2} = -x^{n+1} - x^n[/tex]
Let [tex]f(x)=x^{2015}+x^{2013}+x[/tex]. Substitution using the recursive rule generates an alternating power-reduction pattern:
[tex]f(x) = \left(-x^{2014} - x^{2013}\right) + x^{2013} + x = -x^{2014} + x[/tex]
[tex]f(x) = -\left(-x^{2013} - x^{2012}\right) + x = x^{2013} + x^{2012} + x[/tex]
[tex]f(x) = \left(-x^{2012} - x^{2011}\right) + x^{2012} + x = -x^{2011} + x[/tex]
[tex]f(x) = -\left(-x^{2010} - x^{2009}\right) + x = x^{2010} + x^{2009} + x[/tex]
[tex]f(x) = \left(-x^{2009} - x^{2008}\right) + x^{2009} + x = -x^{2008} + x[/tex]
[tex]f(x) = -\left(-x^{2007} - x^{2006}\right) + x = x^{2007} + x^{2006} + x[/tex]
and so on.
Notice that in the equivalent forms of [tex]f(x)[/tex] involving 3 terms, the largest power of [tex]x[/tex] is a multiple of 3, and the next largest power is 1 less. This means after so many iterations of substitutions, we would end up with
[tex]f(x) = x^3 + x^2 + x[/tex]
Then by factorizing, the expression of interest reduces to
[tex]f(x) = x (x^2 + x + 1) = x \times 0 = \boxed{0}[/tex]
