Answer:
Justin's average speed to his parents' house: x= 40mph
Justin's average speed from his parents' house: x+20=60 mph
Step-by-step explanation:
Let the average speed be x +20
Then average speed from his parents' x
And the distance is S=96
Then we know :
[tex]\displaystyle \frac{S}{x+20} +\frac{S}{x} =4 \\\\\\ \frac{96}{x+20} +\frac{96}{x}=4 \ |\div 4 \\\\\\ 24\bigg(\frac{1}{x+20} +\frac{1}{x} \bigg) =1 \\\\\\ 24\cdot \frac{x+x+20}{(x+20)x} =1 \ |\cdot (x+20)x \ \ \\\\\\48x+480=x^2+20x \\\\ x^2-28x-480=0 \\\\ \rm D=28^2+4\cdot 480=2704 =52^2 \\\\ \boxed{x_1=\frac{28+52}{2} =40} \\\\x_2=\frac{28-52}{2} =-12 \ \ \varnothing[/tex]
Justin's average speed to his parents' house: x= 40mph
Justin's average speed from his parents' house: x+20=60 mph
If 400 kids went to the amusement park and only 120 came back how many got lost?
Answer:
280
Step-by-step explanation:
400 - 120=280
280= number of children lost
Can you please help me fractions
Answer:
Step-by-step explanation:
1/320
Fraction form 1/5 Decimal form 0.2
Step-by-step explanation:
hope this helps
please help with finding the midpoint
Answer: (-4, -6)
Step-by-step explanation:
Find the middle so find the averages of the x points and the y points
average of -6 and 2 is -4
average of -8 and -4 is -6
the point is (-4, -6)
Angle ABC measures 35 and angel BAC meausures 115
Answer:
a. 115 degrees
b. 35 degrees
c. 30 degrees
Step-by-step explanation:
weak spots on a human body
Answer:
eyes
Step-by-step explanation:
Answer:
the heart the brain the eyes
Step-by-step explanation:
please help!!!!!!!!!!!!!!!!!
I need help with this please
Answer:
23 isnthe anseeerjfhdhvdvd hdjdbbe
ANSWER PLEASE !!!!!!
Answer:
B= 40 degress
Step-by-step explanation:
1x+ 5xc /3xc = 40
help please
Make up two equations, one that is true and one that is false. State which equation is true and which is false.
Answer:
57+20= 90 (false)
40+39= 79 (true)
Answer:
14 * 9(-9) - 8 = 1142 9 - 45(-3) + 7 = 151
Step-by-step explanation:
14 * 9(-9) - 8 = 1142 9 - 45(-3) + 7 = 151
(This one is true) (This one is false)
Solve: x^3+3x^2+4x=0
Answer:
x^3 + 3x^2 + 4x = 0
0^3 + 3(0)^2 + 4(0) = 0
Step-by-step explanation:
x = 0
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answer: 171 attendees
Step-by-step explanation:
I answered another similar question by you earlier, so I really hope you read through this explanation, as I will go far in depth. It's important you learn to do this so as not to simply skate through homework, then struggle with assessment.
For this problem, you have to find something called a unit price.
A unit price is the price in dollars per thing.
In this case, the price in dollars for the whole group is $132 for many things, 66 attendees.
Because 66 attendees costs $132, to find out how much money a single attendee costs, simply divide $132 by 66 to get 2$ for 1 attendee.
With this information, it is very straightforward to determine the number of attendees for $342. Simply divide $342 by $2 to get 171 attendees.
I really hope it helps :) and please, let me know if you want me to explain in more depth, the unit you are currently in is a fundamental part of early math, and it is important you understand it.
[tex]-3\log_{3}\left(x-2\right)=-25[/tex]
Thanks!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!...........
[tex] - 3 log_{3}(x - 2) = - 25 \\ = > log_{3}(x - 2) = \frac{ - 25}{ - 3} \\ = > log_{3}(x - 2) = \frac{25}{3} \\ = > (x - 2) = ( \frac{25}{3} ) ^{3} \\ = > x - 2 = \frac{15625}{27} \\ = > x = \frac{15625}{27} + 2 \\ = > x = \frac{15625 + 54}{27} \\ = > x = \frac{15679}{27} \\ = > x = 5226.33[/tex]
Answer:
5226.33 (approximate value)
Hope you could get an idea from here.
Doubt clarification - use comment section.
what are two decimals equivalent to 0.02
Answer:
0.020
0.0200
Step-by-step explanation:
Because there's always an imaginary 0 at the end, so there are infiite equivalant answers to this.
Hope this helps, and stay safe!! :))))
Find x. Round your answer to the nearest tenth of a degree.
Answer:
x = 50.5°
Step-by-step explanation:
Use SOH CAH TOA... Since the adjacent and hypotenuse are given, you must use cosine.
cos(x) = 14/22
cos^-1 (14/22) = 50.5°
when we went shopping I had $15 i lent $5 and spen $8 then borrow $12 from down at the end did I have money in my purse or did I owe money how much
Answer:
Step-by-step explanation:
Write the fraction or mixed number as a decimal
5 2/11
Answer:
0.454...
Step-by-step explanation:
You have at most $20 to spend at an arcade. Arcade games cost $0.75 each, and snacks cost $2.25 each. Write an inequality that represents the numbers of games (x )you can play and snacks( y) you can buy.
The inequality is ??
Answer:
y ≤ -1/3x+80/9
Step-by-step explanation:
(1). 0.75(x)+2.25(y) ≤ 20
0.75 - Number of arcade games (X).
2.25 - Number of snacks (Y).
20 - The total.
(2). 0.75x+2.25y≤20
(After multiplying the x's and y's together, with the numbers).
(3). 0.75x (-0.75x) + 2.25y ≤ 20 (-0.75x)
(Subtract -0.75x to each side, which allows the equation to get closer to the answer).
(4). 2.25y -0.75x + 20
———— = ————
2.25 2.25
(Divide by 2.25 to each side).
(5). y ≤ -1/3x + 80/9
(The result and the inequality).
14)
Tammy uses 6 inches of wire to make a necklace and 3 inches of wire to make a
bracelet. How many necklace and bracelet sets can she make if she uses 28 inches of
wire in all?
Answer:
3 sets
Step-by-step explanation:
6+3 = 9 inches of wire
28/9 = 3 1/9
so 9 can go into 28 three times
so tammy can make three sets of neclaces and bracelets
Find the exact value
Answer:
yrdfcghftfc 6
Step-by-step explanation:
jhfbvnhjyffvb
The first day of Sam's vacation was a Monday.
What was the day of the week on Sam's 36
day of vacation?
Answer:
I think it was monday also
Answer:
The day of the week on Sam's 36th
day of vacation would be Tuesday.
3,008,907,008
What is the correct written form of this number.
Answer:
Three billion eight million nine-hundred seven thousand eight.
Step-by-step explanation:
Write out each of the numbers.
HELPPP!!! WILL MARK BRAINLIEST!!! 10 PTS
Find an equation for the graph sketched below:
Answer:
Plot the coordinate points and connect them with a smooth curve.
Hope This Help you po..
pa brainlest?
The equation for the graph is y = [tex]2(3)^{x} -5[/tex] .
What are Exponential Equations?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.
Standard exponential equation :
y = [tex]a(b)^{x} + k[/tex]
where a is the initial value
b represents the base of the exponential function
x will represent the input of the function
y = k is the single horizontal asymptote
k is constant
According to the question
The figure in the graph is an exponential graph .
To derive the equation
we will use Standard exponential equation :
y = [tex]a(b)^{x} + k[/tex]
Now,
There are two points in graph
(0.-3) and (1,1)
k = - 5 ( distance from 0)
now ,
Substituting the values
y = [tex]a(b)^{x} + k[/tex]
y = [tex]a(b)^{x} -5[/tex]
for point (0.-3)
-3 = [tex]a(b)^{0} -5[/tex]
-3 = [tex]a -5[/tex]
a = 2
for point (1,1)
1 = [tex]2(b)^{1} -5[/tex]
1 = 2b - 5
b = 3
Therefore , equation of exponential graph is
y = [tex]2(3)^{x} -5[/tex]
Hence ,The equation for the graph is y = [tex]2(3)^{x} -5[/tex] .
To know more about Exponential Equations here:
https://brainly.com/question/23729449
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A famous study examined the smoking habits of British doctors and whether or not the doctors developed various types of cancers. Participants responded to questionnaires about their smoking habits and health in 1951, 1957, 1966, and many more times all the way up to 2001. What type of observational study is this
Answer:
A prospective study
Step-by-step explanation:
A prospective study watches for outcomes, such as the development of a disease (in this case cancer). It also usually involves taking a group of subjects and watching them over a long period of time. The outcome of interest should be common between them (whether certain smoking habits lead to the development of cancer in British doctors).
The type of observational study is A prospective study.
We have given,
A famous study examined the smoking habits of British doctors and whether or not the doctors developed various types of cancers.
What is the development of disease?
It is the period before the disease begins to develop and provides the greatest opportunity for improving health.
A prospective study watches for outcomes, such as the development of a disease (in this case cancer).
It also involves taking a group of subjects and watching them over a long time period.
The outcome of interest should be common between them (whether certain smoking habits lead to the development of cancer in British doctors).
To learn more about the disease visit:
https://brainly.com/question/1382377
Sam is playing a board game. He must roll dice to determine if he gets an extra turn. The probability of getting an extra turn is 6/17. Find the odds in favor of getting an extra turn.
Answer:
6 to 11
Step-by-step explanation:
By definition,
the odds in favor of getting an extra turn =
(# of chances to get an extra turn in 17 attempts) / (# of chances to not get an extra turn in 17 attempts) =
6 to (17 - 6) =
6 to 11.
In a geometric sequence the ratio between consecutive terms is
Answer:
always the same
Step-by-step explanation:
11. Find the slope of a line which passes through the points (3,4) and (8,-1).
a. -1
b. 1
c. ⅗
d. 5/3
Answer:
A
Step-by-step explanation:
Slope = (change in y)/ (change in x)
= (-1 - 4)/ (8 - 3)
= -5/5
= -1
Find the distance between A(-4,4) and B(-2,2). Round your answer to the nearest tenth.
Answer:
6.3
Step-by-step explanation:
1) rule:
[tex]d=\sqrt{(X_A-X_B)^2+(Y_A-Y_B)^2)}[/tex]
2) according to the rule above:
[tex]d=\sqrt{36+4}=2\sqrt{10};[/tex]
d≈6.3
Answer:
6.3
Step-by-step explanation:
I have more question then this
9514 1404 393
Answer:
A. CCW 180° about the origin
Step-by-step explanation:
Figure B appears to be a reflection of Figure A across the origin. Such a reflection can be described by any of ...
reflection across the originrotation 180° CW about the originrotation 180° CCW about the originreflection across the x-axis followed by reflection across the y-axisreflection across the y-axis followed by reflection across the x-axis.Which equation does not belong? Explain your reasoning 2x + y = 4 y = -2x + 4 f(x) = -2x + 4 2x + 2y = 4
Answer:
2x + 2y = 4 does not belong
Step-by-step explanation:
2x + y = 4 → y = -2x + 4
y = -2x + 4 → y = -2x + 4
f(x) = -2x + 4 → y = -2x + 4
2x + 2y = 4 → y = -x + 2
Dell Computers receives large shipments of microprocessors (chips) from Intel Corp. It must try to ensure that the proportion of defective chips is small and has contracted to keep the proportion of defective chips at 5% or less. Suppose that Dell tests 25 chips (with replacement) out of a shipment of thousands.
a) What is the probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives? If a sample results in at least three defects, does it appear that Intel has provided a shipment which is consistent with the contract? Briefly explain, using the calculated probability.
b) For the shipment described in part a, find the expected number of sampled chips that are defective and the standard deviation of the number of sampled chips that are defective.
c) Suppose that 20% of the entire shipment is defective. What is the probability that more than 17 chips in the sample are good (not defective)?
Using the binomial distribution, it is found that:
a) 0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.
b) The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.
c) 0.8908 = 89.08% probability that more than 17 chips in the sample are good.
For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
25 chips are tested, thus, [tex]n = 25[/tex].Item a:
Supposing 5% defective, we have that [tex]p = 0.05[/tex].
The probability is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
Then
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{25,0}.(0.05)^{0}.(0.95)^{25} = 0.2774[/tex]
[tex]P(X = 1) = C_{25,1}.(0.05)^{1}.(0.95)^{24} = 0.3650[/tex]
[tex]P(X = 2) = C_{25,2}.(0.05)^{2}.(0.95)^{23} = 0.2305[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2774 + 0.3650 + 0.2305 = 0.8729[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.8729 = 0.1271[/tex]
0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.
Item b:
The mean is:
[tex]E(X) = np = 25(0.05) = 1.25[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{25(0.05)(0.95)} = 1.09[/tex]
The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.
Item c:
20% are defective, so 80% are good, which means that [tex]p = 0.8[/tex]
The probability is:
[tex]P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25)[/tex]
Then
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 18) = C_{25,18}.(0.8)^{18}.(0.2)^{7} = 0.1108[/tex]
[tex]P(X = 19) = C_{25,19}.(0.8)^{19}.(0.2)^{6} = 0.1633[/tex]
[tex]P(X = 20) = C_{25,20}.(0.8)^{20}.(0.2)^{5} = 0.1960[/tex]
[tex]P(X = 21) = C_{25,21}.(0.8)^{21}.(0.2)^{4} = 0.1867[/tex]
[tex]P(X = 22) = C_{25,22}.(0.8)^{22}.(0.2)^{3} = 0.1358[/tex]
[tex]P(X = 23) = C_{25,23}.(0.8)^{23}.(0.2)^{2} = 0.0708[/tex]
[tex]P(X = 24) = C_{25,24}.(0.8)^{24}.(0.2)^{1} = 0.0236[/tex]
[tex]P(X = 25) = C_{25,25}.(0.8)^{25}.(0.2)^{0} = 0.0038[/tex]
Then:
[tex]P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25) = 0.1108 + 0.1633 + 0.1960 + 0.1867 + 0.1358 + 0.0708 + 0.0236 + 0.0038 = 0.8908[/tex]
0.8908 = 89.08% probability that more than 17 chips in the sample are good.
A similar problem is given at https://brainly.com/question/24863377