Answer:
x= -3/4 + y/4
Step-by-step explanation:
Move all terms that don't contain
x to the right side and solve.
Answer:
[tex]x = - \frac{3}{4} + \frac{1}{4} y[/tex]
Step-by-step explanation:
[tex] - 4x + y = 3[/tex]
[tex] - 4x = 3 - y[/tex]
[tex]x = - \frac{3}{4} + \frac{1}{4} y[/tex]
[tex]x = - \frac{3}{4} + \frac{1}{4} y[/tex]
guys help
Find the product of the following :
a. (-23) x 93
b. (- 16 ) x (- 30)
c. 14 x (- 12)
Step-by-step explanation:
(-23) x 93 = - 2139
(- 16 ) x (- 30) = 480
14 x (- 12) = - 168
What is h(x) = 7+ 10x + x2 written in vertex form?
Oh(x) = (x - 25)2 - 18
Oh(x) = (x - 5)2 + 32
h(x) = (x + 5)2 - 18
h(x) = (x + 25)2 + 32 free cookie for whoever answers
Answer:
h(x) = [tex](x+5)^{2}[/tex] -18
Step-by-step explanation:
-b/2a is the formula to find the vertex's x coordinate.
-10/2(1) = -5 and "(x+5)" represents a translation to the left 5 units, so that must be the answer
The diameter of a circle is 9 feet. Find the radius.
Answer:
4.5
Step-by-step explanation:
Diameter is equal to 2r. In other words, to find radius from the diameter, you divide the diameter by two. In this case, its 9/2. That gives you 4.5
Answer:
4 1/2 feet
Step-by-step explanation:
The radius fo the circle is half of the diameter so 4 1/2 Feet.
What is the difference?: 7/8 − 1/3
Answer: 13/24
Step-by-step explanation: M A T H W A Y Calculator
Answer:
0.54166666666 or 13/24
Step-by-step explanation:
chance rolls a 1-6 number cube. What is the probabilty that he will roll a prime number
Answer:
B
Step-by-step explanation:
There are six numbers altogether. 2 3 and 5 are prime. One is odd, but it is not considered prime.
So P(prime) = 3/6 = 1/2
As a percent, this is 1/2 * 100 = 50%
Question 23 (4 points)
Find the measure of ZA in trapezoid ABCD
А.40°
B.50°
C.130 °
D.140 °
Answer:
140°
Step-by-step explanation:
angle D+ angle A=180°(by co interior angle)
40°+a=180°
a=180°-40°
a=140°
55 - 3x7 + 8 divided by 4=?
Answer:56 :)
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The answers are, s=0.20p
s=p-0.20p
s=p-0.20
s=p-p/20 please help I’m so close to passing math
Answer:
s=0.20p
Step-by-step explanation:
cassie is training for a marathon. she has been recording her miles in a journal leading up to race day. the following table shows some of her results. on sunday, cassie didn't run any miles. what could be a possible cause for this outlier
Answer:
There is an outlier because she was injured and could not run.
Step-by-step explanation:
There are several reasons why Cassie wouldn't have been able to run on Sunday, but a potential reason is because she had a minor injury that took her one day to heal. Because of her taking this day off, it creates an outlier in our table.
Mark wants to order a pizza. Complete the explanation for which is the better deal. Round your answer to the nearest cent Use 3.14 for pi. Donnie's Pizza Palace Diameter (in.) 14 22 Cost (5) 10 20 The 14-inch pizza costs about Jo per square inch while the 22-inch pizza costs about per square inch. The (select) v pizza is a better deal.
Answer:
1486.14
Step-by-step explanation:
A student says that the function shown by the table below can be represented by the rule y=x2-1. Describe and correct the error
Answer:
csd zxsd
Step-by-step explanation:
Select all the correct answers.
Which expressions are equivalent to √-27?
Answer:
the first one and that's the only one
[tex]3i\sqrt{3} \ \text{ and } \ i\sqrt{27}[/tex]
===================================================
Work Shown:
We will use the rule that sqrt(A*B) = sqrt(A)*sqrt(B) to get the following
[tex]x = \sqrt{-27}\\\\x = \sqrt{-1*27}\\\\x = \sqrt{-1}*\sqrt{27}\\\\x = i\sqrt{27} \ \text{ ... one answer; choice D}\\\\x = i\sqrt{9*3}\\\\x = i\sqrt{9}*\sqrt{3}\\\\x = i*3*\sqrt{3}\\\\x = 3i\sqrt{3} \ \text{ ... another answer; choice A}\\\\[/tex]
While choices C and D seem to look equivalent, note how the 'i' is under the square root in choice C. The 'i' term must be outside the root to be equivalent to the original expression. We denote [tex]i=\sqrt{-1}[/tex]
Please help me I am having a panic attack please help
Answer:
340
Step-by-step explanation:
Evaluate ab if a = -16 and b = -5.
9514 1404 393
Answer:
80
Step-by-step explanation:
ab is the product of 'a' and 'b'. For the given values, that is the product ...
ab = (-16)(-5) = 80
_____
When the number of minus signs is even, the resulting product is positive.
A triangle has the vertices at A(1,3), B(4,2), and C(3,8). What transformation would produce an image with the vertices A’(3,-1),B’(2,-4), C’(8,-3)?
A) Reflection over the x axis
B) Reflection over the line y=x
C) Rotation 90° CW about the origin
D) Rotation 180° about the origin
9514 1404 393
Answer:
C) Rotation 90° CW about the origin
Step-by-step explanation:
The transformation for rotation CW 90° is ...
(x, y) ⇒ (y, -x)
This is apparently the transformation that gets ...
A(1, 3) ⇒ A'(3, -1)
__
Additional comment
Attached is a list of the commonly used transformations for your reference.
Answer:
C
Step-by-step explanation:
I need help with this I’ll mark you if right
Answer:
The inequality would be (310-120)/10 less than or equal to x
19 hours minimum
Step-by-step explanation:
(310-120)/10
190/10
19
i dont understand this
Answer:
'less than or equal to' sign
Frank is going to throw a ball from the top floor of his middle school. The function
h(t) = – 16t? +960 + 112 models the height, h, of the ball above the ground as a function of time t.
Find the time(s) when the ball's height is 112 feet.
The ball has a height of 112 feet when t =
one answer, express your answers separated by commas)
seconds. (If there is more than
The ball hits the ground at t =
seconds.
Add Work
Check Answer
Answer:
16t=69
Step-by-step explanation:
What is M - 3 > -2???
Answer:
m>1
Step-by-step explanation:
inverse operations... add 3 to both sides so you get -2+3=1!!
Chase took a taxi from his house to the airport. The taxi company charged a pick-up fee of $1.20 plus $4.75 per mile. The total fare was $48.70, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride. i need the equation and the answer of what is x
Answer:
(48.70-1.20)/4.75 = x x=10
Step-by-step explanation:
you should get the x by its self by moving the 1.20 over to the other side then divide by the 4.75 this would get x by its self leaving you to answer and get an answer of 10
Chase rode the taxi for 10 miles.
Let the number of miles in the taxi ride be represented by x.
Pick up fee = $1.20
Amount per mile = $4.75 per mile.
Therefore, the number of miles in the taxi ride will be:
1.20 + (4.75 × x) = 48.70
1.20 + 4.75x = 48.70
Collect like terms
4.75x = 48.70 - 1.20
4.75x = 47.50
Divide both side by 4.75
4.75x/4.75 = 47.50/4.75.
x = 10
Therefore, the number of miles is 10 miles
Read related link on:
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Find the length indicated.
6) Find AB
The average number of annual trips per family to amusement parks in the UnitedStates is Poisson distributed, with a mean of 0.6 trips per year. What is the probabilityof randomly selecting an American family and finding the following?a.The family did not make a trip to an amusement park last year.b.The family took exactly one trip to an amusement park last year.c.The family took two or more trips to amusement parks last year.d.The family took three or fewer trips to amusement parks over a three-year period.e.The family took exactly four trips to amusement parks during a six-year period.
Answer:
a) 0.5488 = 54.88% probability that the family did not make a trip to an amusement park last year.
b) 0.3293 = 32.93% probability that the family took exactly one trip to an amusement park last year.
c) 0.1219 = 12.19% probability that the family took two or more trips to amusement parks last year.
d) 0.8913 = 89.13% probability that the family took three or fewer trips to amusement parks over a three-year period.
e) 0.1912 = 19.12% probability that the family took exactly four trips to amusement parks during a six-year period.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Poisson distributed, with a mean of 0.6 trips per year
This means that [tex]\mu = 0.6n[/tex], in which n is the number of years.
a.The family did not make a trip to an amusement park last year.
This is P(X = 0) when n = 1, so [tex]\mu = 0.6[/tex].
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.6}*(0.6)^{0}}{(0)!} = 0.5488[/tex]
0.5488 = 54.88% probability that the family did not make a trip to an amusement park last year.
b.The family took exactly one trip to an amusement park last year.
This is P(X = 1) when n = 1, so [tex]\mu = 0.6[/tex].
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 1) = \frac{e^{-0.6}*(0.6)^{1}}{(1)!} = 0.3293[/tex]
0.3293 = 32.93% probability that the family took exactly one trip to an amusement park last year.
c.The family took two or more trips to amusement parks last year.
Either the family took less than two trips, or it took two or more trips. So
[tex]P(X < 2) + P(X \geq 2) = 1[/tex]
We want
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.5488 + 0.3293 = 0.8781[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.8781 = 0.1219[/tex]
0.1219 = 12.19% probability that the family took two or more trips to amusement parks last year.
d.The family took three or fewer trips to amusement parks over a three-year period.
Three years, so [tex]\mu = 0.6(3) = 1.8[/tex].
This is
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.8}*(1.8)^{0}}{(0)!} = 0.1653[/tex]
[tex]P(X = 1) = \frac{e^{-1.8}*(1.8)^{1}}{(1)!} = 0.2975[/tex]
[tex]P(X = 2) = \frac{e^{-1.8}*(1.8)^{2}}{(2)!} = 0.2678[/tex]
[tex]P(X = 3) = \frac{e^{-1.8}*(1.8)^{3}}{(3)!} = 0.1607[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1653 + 0.2975 + 0.2678 + 0.1607 = 0.8913[/tex]
0.8913 = 89.13% probability that the family took three or fewer trips to amusement parks over a three-year period.
e.The family took exactly four trips to amusement parks during a six-year period.
Six years, so [tex]\mu = 0.6(6) = 3.6[/tex].
This is P(X = 4). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.1912[/tex]
0.1912 = 19.12% probability that the family took exactly four trips to amusement parks during a six-year period.
Probabilities are used to determine the chances of events.
The given parameters are:
[tex]p = 0.6[/tex]
(a) The family did not make a trip to an amusement park last yearThe distribution is given as a Poisson distribution.
So, we have:
[tex]P(x) = \frac{e^{-\mu} \times \mu^x}{x!}[/tex]
Where:
[tex]\mu = np[/tex]
Last year means that:
[tex]n = 1[/tex] --- the number of years.
No trip, means that:
[tex]x = 0[/tex]
So, we have:
[tex]\mu = np[/tex]
[tex]\mu = 1 \times 0.6[/tex]
[tex]\mu = 0.6[/tex]
The probability becomes
[tex]P(x) = \frac{e^{-\mu} \times \mu^x}{x!}[/tex]
[tex]P(0) = \frac{e^{-0.6} \times 0.6^0}{0!}[/tex]
[tex]P(0) = \frac{0.5488 \times 1}{1}[/tex]
[tex]P(0) = 0.5488[/tex]
Hence, the probability that the family did not make a trip to an amusement park last year is 0.5488
(b) The family took exactly one trip to an amusement park last yearThis means that:
x = 1.
So, we have:
[tex]P(x) = \frac{e^{-\mu} \times \mu^x}{x!}[/tex]
[tex]P(1) = \frac{e^{-0.6} \times 0.6^1}{1!}[/tex]
[tex]P(1) = \frac{0.5488 \times 0.6}{1}[/tex]
[tex]P(1) = 0.3293[/tex]
Hence, the probability that the family took exactly one trip to an amusement park last year is 0.3293
(c) The family took two or more trips to amusement parks last yearThis means that:
x = 2,3...
So, we make use of the following complement rule:
[tex]P(x\ge 2) = 1 - P(x < 2)[/tex]
This gives
[tex]P(x\ge 2) = 1 - P(0) - P(1)[/tex]
So, we have:
[tex]P(x\ge 2) = 1 - 0.5488 - 0.3293[/tex]
[tex]P(x\ge 2) = 0.1219[/tex]
Hence, the probability that the family took two or more trips to an amusement park last year is 0.1219
(d) The family took three or fewer trips to amusement parks over a three-year period.For a three-year period, we have:
[tex]n = 3[/tex]
So, the mean of the distribution is:
[tex]\mu = np[/tex]
[tex]\mu = 3 \times 0.6[/tex]
[tex]\mu = 1.8[/tex]
The probability is then represented as:
[tex]P(x \le 3) = P(0) + P(1) + P(2) + P(3)[/tex]
Calculate P(0) to P(3) using:
[tex]P(x) = \frac{e^{-\mu} \times \mu^x}{x!}[/tex]
So, we have:
[tex]P(0) = \frac{e^{-1.8} \times 1.8^0}{0!}[/tex]
[tex]P(0) = \frac{0.1653 \times 1}{1}[/tex]
[tex]P(0) = 0.1653[/tex]
[tex]P(1) = \frac{e^{-1.8} \times 1.8^1}{1!}[/tex]
[tex]P(1) = \frac{0.1653 \times 1.8}{1}[/tex]
[tex]P(1) = 0.2975[/tex]
[tex]P(2) = \frac{e^{-1.8} \times 1.8^2}{2!}[/tex]
[tex]P(2) = \frac{0.1653 \times 3.24}{2}[/tex]
[tex]P(2) = 0.2678[/tex]
[tex]P(3) = \frac{e^{-1.8} \times 1.8^3}{3!}[/tex]
[tex]P(3) = \frac{0.1653 \times 5.832}{6}[/tex]
[tex]P(3) = 0.1607[/tex]
So, we have:
[tex]P(x \le 3) = P(0) + P(1) + P(2) + P(3)[/tex]
[tex]P(x \le 3) = 0.1653 + 0.2975 + 0.2678 + 0.1607[/tex]
[tex]P(x \le 3) = 0.8913[/tex]
Hence, the probability that the family took three or fewer trips to amusement parks over a three-year period is 0.8913
e. The family took exactly four trips to amusement parks during a six-year period.A six-year period means that:
[tex]n = 6[/tex]
So, the mean of the distribution is:
[tex]\mu = np[/tex]
[tex]\mu = 6 \times 0.6[/tex]
[tex]\mu = 3.6[/tex]
The probability is then calculated as:
[tex]P(x) = \frac{e^{-\mu} \times \mu^x}{x!}[/tex]
So, we have:
[tex]P(4) = \frac{e^{-3.6} \times 3.6^4}{4!}[/tex]
[tex]P(4) = \frac{0.0273 \times 167.9616}{24}[/tex]
[tex]P(4) = 0.1911[/tex]
Hence, the probability that the family took exactly four trips to amusement parks over a six-year period is 0.1911
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What is the result of 8(x - y)? The value for x is -5 and y is -2
Answer:
8(-5 - -2) = 24. Inside the parantheses is 3. Then you'd multiply 8, which is 24
Step-by-step explanation:
Answer:
-24
Step-by-step explanation:
I got my answer by plugging in the value of the variables into the equation:
8(x - y)
8((-5) - (-2))
8(-3)
-24
I hope this helps! :)
A triangle has a base of 16" in height of 1/8 inch what is the area?
Answer:
Area of triangle is 1 inches²
Step-by-step explanation:
We are given:
Base of triangle = 16 inches
Height of triangle = [tex]\frac{1}{8} \:[/tex] inches
We need to find:
Area of triangle
The formula used to find Area of triangle is:
[tex]Area \:of\: triangle=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height.
Putting values and finding area:
[tex]Area \:of\: triangle=\frac{1}{2}\times 16 \times \frac{1}{8}\\ Area \:of\: triangle=\frac{16}{16}\\ Area \:of\: triangle=1\:inches^2[/tex]
So, Area of triangle is 1 inches²
Number of cups of sugar that would be used with 2 cups of flour is ____.
No rush I just need help
Answer:
Answer will be A 200( 12+3)
100%
TA
Jenna and Todd are running for president of a school club. The candidates for vice president are Todd, Annie, and Luis. Because Todd is
running for both positions, he can't be elected vice president if he is elected president.
Which list shows all the possible outcomes for president (P) and vice president (VP)?
P
VP
P
VP
Jenna Annie
Jenna Todd
A
Jenna Luis
Oc.
Todd Annie
Jenna Annie
Todd Luis
Jenna Luis
Р
VP
P
VP
Jenna Todd
Jenna Annie
Jenna Annie
Jenna Luis
OB.
D
Jenna Luis
Todd Jenna
Todd Annie
Todd Annie
Todd Luis
Todd Luis
Answer: It would be Todd for (P) and Jenna for (VP)
Step-by-step explanation: OK, so look there are four people wanting to run for president and vice presdent so Todd and Jenna are running for a school club Todd has a higher chance of getting one of the two positions because if people vote enough for Todd to get the president position and has a change of getting vice president so If Jenna get lots of vote for (P) then she will run for (P) but if not flip flop Todd and Jenna positions and one of them go to get some position or if not the candidates move up a step.
what percent of one us dollar is $.25
Answer:
25%
Step-by-step explanation:
25/100 = 25%
The percentage value of $0.25 in one dollar is 25%.
Given data:
The initial amount is represented as $0.25.
The value of one dollar is $1.
To determine what percent $.25 is of one US dollar, divide $.25 by $1 and then multiply by 100 to express it as a percentage.
($.25 / $1) * 100 = 0.25 * 100
0.25 * 100 = 25 %
So, the value is 25 %.
Hence, $.25 is 25% of one US dollar.
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how do I write two trillion ninety nine in number form?
Answer:
here
Step-by-step explanation:
2.000.000.099
Roberto rented a truck from the Super Truck Company for 9 hours. There was a rental fee of $50. Allison rented a truck from Trucking America for 4 hours. She paid a $110 rental fee. Both Roberto and Allison spent the same amount and both companies have the same hourly rental fee. Write and solve an equation to determine the hourly rental fee.
Answer:
Hence, the hourly rental fee is [tex]\$\: 12[/tex].
Step-by-step explanation:
Time for which Roberto rented the truck [tex]=9[/tex] hours.
Rental fee [tex]=\$ \:50[/tex]
Time for which Allison rented the truck [tex]=4[/tex] hours.
Rental fee [tex]=\$ \:110[/tex]
Both companies have the same hourly rental fee.
Let the hourly rental fee of both the companies be [tex]x[/tex].
Both spent the same amount.
So, according to the question,
[tex]\Rightarrow 50+9x=110+4x[/tex]
[tex]\Rightarrow 9x-4x=110-50[/tex]
[tex]\Rightarrow 5x=60[/tex]
[tex]\Rightarrow x=\frac{60}{5}[/tex]
[tex]\Rightarrow x=12[/tex]
Hence, the hourly rental fee is [tex]\$\: 12[/tex].