Let H represent heads and T represent tails.
Writing HH means we get two heads and HT means we get heads first, then tails second, and so on.
We have these four possible outcomes when flipping two coins
HHHTTHTTOf those four outcomes, two of them have exactly one head show up (HT and TH). The probability of getting exactly one head is 2/4 = 1/2, so this is why Jose is correct.
Simplify: x^2-16/x-4 What does the given expression simplify to? What is the excluded value of x for the given expression?
Step-by-step explanation:
Difference of Squares: a² - b² = (a + b)(a - b)
(x² - 16) / (x - 4)
= [(x + 4)(x - 4)] / (x - 4)
= x + 4, where x =/= 4.
Answer:
1. (x+4)
2. 4
Step-by-step explanation:
got right on edge
Find the length of the line segment formed by the points (2, 3) and (2, 5)
Answer:
2 units
Step-by-step explanation:
Given data
The points are (2, 3) and (2, 5)
x1= 2
y1= 3
x2= 2
y2= 5
substitute into the distance between two points formula
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((2-2)²+(5-3)²)
d=√(2)²)
d=√4
d= 2 units
Hence the length is 2 units
The size of a jar of coffee is increased by 1/5. The new size is later reduced by 1/5.
Is the new jar smaller, the same size or larger than the original? Explain how you worked out your answer.
Answer:
The new jar is smaller.
Step-by-step explanation:
Like what the statements says, the normal size of coffee is reduced by 1/5 and it become as the new jar which is smaller than the original.
I need help please.
Answer:
D 18 percent
Step-by-step explanation:
So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred
the equation should be 18 is what percent of 100 which is the same thing as 18/100
18 divided by 100 is .18
Question Help
9
s shown by the formula F= C+32. At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer
X
Answer:
It will read the same at F = -40.
Step-by-step explanation:
The relation between fahrenheit and celsius is given by the following equation:
[tex]C = \frac{5(F-32)}{9}[/tex]
At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?
This is F for C = F. So
[tex]C = \frac{5(F-32)}{9}[/tex]
[tex]F = \frac{5(F-32)}{9}[/tex]
[tex]9F = 5F - 160[/tex]
[tex]4F = -160[/tex]
[tex]F = -\frac{160}{4}[/tex]
[tex]F = -40[/tex]
It will read the same at F = -40.
Find the percent of a number 20% of 155
Hey there!
[tex]\text{The word \underline{of} means \underline{multiply} in \underline{mathematical terms}}[/tex]
[tex]\bold{Equation: 20\% \times 155}\\\bold{20\% = \dfrac{20}{100}=\dfrac{20\div20}{100\div20}=\dfrac{1}{5}}\\\bold{\dfrac{1}{5}\times 155=?}\\\bold{155\times1=155}\\\\\bold{\dfrac{155}{5}=31}\\\boxed{\boxed{\bold{Answer: 31}}}\huge\checkmark[/tex]
Good luck on your assignment and enjoy your day!
~[tex]\frak{Amphitrite1040:)}[/tex]
1.488 divided by 2.1 rounded to nearest tenth
Which are equations? Check all that apply.
Answer:
numbers 1,4,6,7 are all equations
Step-by-step explanation:
just look for the equal sign if there's no equal sign then its an expression not an equation
Answer:
All of the equations are the ones with the equal signs (=)
I hope this helps!
Kimani says that the slope of the line between points B and C is greater than the slope of the line between points A and B .
Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B.
Answer:
Kiara is correct
.............
Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B is Correct.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
From the figure
Slope between A and B = rise/ run 3/3 = 1
and, slope between B and C = 5/5 = 1
So, the slope between A and B is same as the slope between B and C.
Hence, Kiara has correct statement.
Learn more about slope here:
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Sara had $108 to spend on 8 books. After buying them she had $12 left. Let b represent the cost of each book. Which equation represents this situation?
Answer:
12
Step-by-step explanation:
you take 108-12=96
then you take 96/8=12
Need help don’t know what to do I’m confused
This equation shows how the cost of a cab ride depends on the distance in miles. C = d + 2 The variable d represents the number of miles driven, and the variable c represents the cost in dollars. How long is a cab ride that costs $7?
Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0
The Vertex is (-2,1)
And the focus is (-2,3)
An aircraft seam requires 20 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 16% of all seams need reworking, what is the probability that a rivet is defective
Answer:
probability that a rivet is defective is 0.00868
Step-by-step explanation:
given data
rivets = 20
all seam need reworking P = 16% = 0.16
solution
we consider here probability of a defective rivet = p
and 0.16 = P [Seam needs reworking) = P (at least one rivet in the seam is defective)
so that for non-defective = 1 - P [all the rivets are non-defective]
and that will be here as = 1 - P [rivet 1 is non-defective, rivet 2 is non-defective, rivet 3 is non-defective,...............,rivet 20 is non-defective]
= [tex]1 - (p})^{20}[/tex] ....................1
so
1-0.16 = [tex]1 - (p})^{20}[/tex]
0.84 = [tex]1 - (p})^{20}[/tex]
[tex]0.84^{\frac{1}{20}}[/tex] = 1 - p
solve it we get
p = 0.00868
so, probability that a rivet is defective is 0.00868
2+5xi-3y=14+3x-5yi.Find x and y
Question:
[tex]5x-3y=14[/tex]
[tex]3x-5y=2[/tex]
Find x and y
Answer:
[tex]x = 4[/tex]
[tex]y =2[/tex]
Step-by-step explanation:
Given
[tex]5x-3y=14[/tex] -- (1)
[tex]3x-5y=2[/tex] -- (2)
Required
Find x and y
We'll solve this using elimination method.
Multiply (1) by 3 and (2) by 5 to eliminate x
([tex]5x-3y=14[/tex]) * 3
([tex]3x-5y=2[/tex]) * 5
-------------------------------
[tex]15x - 9y = 42[/tex]
[tex]15x - 25y =10[/tex]
Subtract
[tex]15x - 9y = 42[/tex]
- ([tex]15x - 25y =10[/tex])
-----------------------
[tex]15x - 15x - 9y + 25y = 42 - 10[/tex]
[tex]- 9y + 25y = 42 - 10[/tex]
[tex]16y = 32[/tex]
Make y the subject
[tex]y = \frac{32}{16}[/tex]
[tex]y =2[/tex]
Substitute 2 for y in [tex]5x-3y=14[/tex]
[tex]5x - 3 * 2 = 14[/tex]
[tex]5x - 6 = 14[/tex]
Collect Like Terms
[tex]5x = 14+6[/tex]
[tex]5x = 20[/tex]
Make x the subject
[tex]x = \frac{20}{5}[/tex]
[tex]x = 4[/tex]
A pound of apples cost $1.35 a pound of cherries cost $3.62. How much will it cost to by 1.6 pounds of apples and 2.5 pounds of cherries?
Answer:
apples cost a total of 2.16
cherrys cost a total of 9.05
Step-by-step explanation:
1.35*1.6=2.16
3.62*2.5=9.05
what is the equation for the line shown? picture attached.
The size of a jar of coffee is increased by one 1/5. The new size is later reduced by 1/5
Is the new jar smaller, the same size or larger than the original?
Answer:
Smaller
Step-by-step explanation:
Example: say the original size is 100
increasing 100 by 1/5 is the same as increasing 100 by 20, so the new size is 120
reducing 120 by 1/5 is the same as reducing 120 by 24, so now the new size is 96.
100>96
What is the simplified form of (-3xy)(5xy-1)?
Answer:
-15x²y²+3xy
Step-by-step explanation:
((−3x)(y))(5xy−1)
=((−3x)(y))(5xy+−1)
=((−3x)(y))(5xy)+((−3x)(y))(−1)
=−15x²y²+3xy
Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,0) and (0,9)
Answer:
need a picture hdhxhxhxhx
what is the slope intercept form of 7x-5y=15?
Answer:
y=7/5x-3 is the slope intercept form
Siyoni, Adam and Ben share some money in the ratio 5:3:4 In total, Adam and Ben receive $84 Work out how much they cach get. (help me i’ll give brainliest!)
Select all that are equivalent to sin H.
1. cos H
2. cos Y
3. sin Y
4. sin W
5. tan W
6. cos(90-H)
7. sin(90-H)
Answer:
i believe 1-3-5
Step-by-step explanation:
Answer: the 2nd and 6th
Step-by-step explanation:
i did the test thing
Let f(x) be defined on the positive real numbers as follows:
Start with a number x.
Take the square root of the number and add 3 more than the number you started with.
Square the result and add 2 more than the original number.
Finally, divide the result by 2 more than the square of the original number.
Required:
Write a formula for f(x).
Answer:
[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Step-by-step explanation:
We have to find the formula for f(x)
Let x be the number
According to question
Now,
[tex]\sqrt{x}+x+3[/tex]
Now,
After squaring we get
[tex](\sqrt{x}+x+3})^2[/tex]
Add x+2 to above result then, we get
[tex](\sqrt{x}+x+3})^2+2+x[/tex]
Then,
[tex]\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Therefore, the formula for f(x) is given by
[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
If you Start with $10 in the bank and each month you add $20 which line equation will give you your total amount after X months?
Answer:
y=20x+10
Step-by-step explanation:
You start with $10, so this will be added on, and is not affected by the number of months.
You add $20 each month, so the 20 is dependant on x.
ANSWER: y=20x+10
28 decreased by 2.6%
Answer:
Please check the explanation.
Step-by-step explanation:
Given
28 decreased by 2.6%First we need to determine the percentage decrease such as:
Percentage decrease = 2.6% of 28
= 2.6/100 × 28
= 0.026 × 28
= 0.73
New value can be determined using the formula
New vaue = 28 - percentage decrease
= 28 - 0.73
= 27.27
What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?
Answer:
x = (-150)/49
Step-by-step explanation:
Solve for x:
49 x + 150 = 0
Hint: | Isolate terms with x to the left hand side.
Subtract 150 from both sides:
49 x + (150 - 150) = -150
Hint: | Look for the difference of two identical terms.
150 - 150 = 0:
49 x = -150
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 49 x = -150 by 49:
(49 x)/49 = (-150)/49
Hint: | Any nonzero number divided by itself is one.
49/49 = 1:
Answer: x = (-150)/49
(GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your work on a image or on paper with using fraction models! thank you for your help :D
Answer:
2 2/5
Step-by-step explanation:
3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5
Answer:
3/10 of the pizza is given to each person
Step-by-step explanation:
total number of people= 10
number of pizzas=3
as a fraction, this would be 3/10
you can also use this as 30 out of 100 if that's easier to understand.
Hope this helps ༼ つ ◕_◕ ༽つ
Select the correct answer from each drop-down menu.
Cameron is a member of a national gardening club. She asked 200 of her fellow members whether they use compost to fertilize their plants, and
45% responded favorably.
What is the 90% confidence interval for the true proportion of club members who use compost?
Answer:
0.45 and 0.5
Step-by-step explanation:
plato/edmentum
The 90% confidence interval for the true proportion of club members who use compost is given as (0.4, 0.507)
What is Confidence Interval?
This refers to the probability of a parameter falling across a set of values around the mean.
To find the 90% confidence interval,
Probability= 45%= 0.45
Level of significance= 90%
1-0.90
= 0.10
[tex]z\alpha /2 = z(0.1/2) = 0.05[/tex]
The value of 0.05
P0.05= 1.645
P ± 1.645 x [tex]\sqrt{P0-p/n}[/tex]
0.45 ± 1.645 * [tex]\sqrt{0.48 (1-0.45)/200}[/tex]
0.45 ± 1.645 * 0.035178
0.45 ± 0.0578
0.45 - 0.0578, 0.45 + 0.0578
(0.4, 0.507)
Read more about confidence intervals here:
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Find the indicated term of each sequence by repeatedly multiplying the first term by the common ratio.
Enter your answer to 5 decimal places if necessary. Use a calculator.
A
-50, 35, -24.5,..;5th term
The 5th term of the sequence is 70
Answer:
Step-by-step explanation:
The first term here is -50 and the common ratio is 0.70. Note that the second term is 0.70(50) = 35.
The formula a(n) = a(0)*r^(n -1) becomes a(n) = -50*0.70^(n -1), and so
the 5th term is a(5) = -50*0.70^4 = -12.005
