Answer:
55+3/8 -1/2=55-3×2/8=55-3/4=54.25
Find the average rate of change of f(x)=9x^2-2 on the interval of [1,t]
Answer:
[tex]Rate = 9(t+1)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 9x^2 - 2[/tex]
[tex]Interval = [1,t][/tex]
Required
Determine the average rate of change
This is calculated using:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex][a,b] = [1,t][/tex]
So, we have:
[tex]Rate = \frac{f(t) - f(1)}{t - 1}[/tex]
Solve for f(t) and f(1)
[tex]f(t) = 9t^2 - 2[/tex]
[tex]f(1) = 9*1^2 - 2[/tex]
[tex]f(1) = 9 - 2[/tex]
[tex]f(1) = 7[/tex]
So, we have:
[tex]Rate = \frac{9t^2 - 2 - 7}{t - 1}[/tex]
[tex]Rate = \frac{9t^2 - 9}{t - 1}[/tex]
Factorize:
[tex]Rate = \frac{9(t^2 - 1)}{t - 1}[/tex]
Apply difference of two squares
[tex]Rate = \frac{9(t- 1)(t+1)}{t - 1}[/tex]
[tex]Rate = 9(t+1)[/tex]
Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $224 in interest after 2 years. How much money should he deposit? Can someone help me out I’m kind of struggling
Answer:
$7000
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 1.6%/100 = 0.016 per year,
then, solving our equation
P = 224 / ( 0.016 × 2 ) = 7000
P = $ 7,000.00
The principal required to
accumulate interest of $ 224.00
on a rate of 1.6% per year for 2 years is $ 7,000.00.
please i’ve been stuck on this for days i need help
Answer:
x=12, y=9, z=7, w=3
Step-by-step explanation:
Find the sum of 1005 and 296
Answer: the sum is 1301
Answer:
1301
Step-by-step explanation:
1005 + 296 = 1301
Please show your work in the answers. Please answer the 3 questions I put.
There are 30 pieces of candy in a bowl and 6 of them are Twix. What percentage of pieces of candy in the bowl are Twix?
Select the trip that will take 3 hours.
a. A train goes 60 miles per hour between Springfield and Boston, which is 180 miles away.
b. You bike to McDonald's at 10 miles per hour, which is 5 miles away.
c. You drive 80 miles per hour to New York City, which is 320 miles away.
A bird flies 40 miles, but it has only completed 80% of its trip. How far was the trip?
Answer:
20%
a) a train goes 60 mph for 180 miles
50 miles
Step-by-step explanation:
6/30=.20 = 20%
180 miles divided by 60 mph=3 hours
80%x = 40 miles
.8x=40
.8x/.8=40/.8
x=50 miles
I need help with this please
Answer:
C is correct answer.
Hope this is helpful. Thanks & Upvote it
number of
Joshua has ad Jarr of apple Jam and
36 gars of mango Jam. He want to place
the pamiam into the greatest possible
boxes so that cach box
the same number of Jars of each
kind of sam. How many boxes does
he need?
lwoeofpxs kfi wn ee's osoakem
Step-by-step explanation:
owlekdx9zinqrnxiz n.v w w d f ds no wkw
Which equation is not a polynomial.
A.-sqrt(2)
B.-3x^2+xy-2y^2
C.x^/y +3xy -2y^2/x
D.sqrt(2a^2)-4xy-2x^2y^2
E.5x^-2 +x^-1 y-2
The sum of two numbers is 58. The smaller number is 16 less than the larger number. What are the numbers?
Answer:
hope it may help you
Step-by-step explanation:
n and n+14 are the numbers or you can use n and n-14; either way
n+n+14=58
2n+14=58
2n=58-14
2n=44
n=22 and n+14=22+14=36
22 and 36 are the numbers
or,...
58/2=29
29 and 29
28 and 30
27 and 31
26 and 32
25 and 33
24 and 34
23 and 35
22 and 36 answer
It took 3 hours for Emyr to lay 450 bricks.
He always works at the same speed.
How long will it take Emyr to lay 750 bricks?
Answer:
5 hours
Step-by-step explanation:
divide 450 by 3 which is 150 1h=150
now we want to know how many hours
if 1h=150 then how many hours what you do is you divide 750/150 which is 5
so 5 hours to lay 750 bricks
pls brainliest i haven't got one
have a good day hope this helped :)
Evaluate -2x^2y, if x = -3 and y=-1.
-12
18
12
-18
Answer:
Option A is your answer
A study showed that 25% of the students drive themselves to school. Based on the suggested probability, in a class of 18 students, what would be the probability that at least 6 students drive themselves to school? (CDF)
A) 0.139
B) 0.283
C) 0.717
D) 0.861
Answer:
B) 0.283
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
25% of the students drive themselves to school.
This means that [tex]p = 0.25[/tex]
Class of 18 students
This means that [tex]n = 18[/tex]
What would be the probability that at least 6 students drive themselves to school?
This is
[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]
In which
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006[/tex]
[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034[/tex]
[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096[/tex]
[tex]P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17[/tex]
[tex]P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213[/tex]
[tex]P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199[/tex]
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718[/tex]
[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282[/tex]
Closest option is B, just a small rounding difference.
Which rational number equals 0 point 2 with bar over 2
solve using any method 4x-y=20 and -2x-2y=10
Answer:
if you're trying to find the slope, it is (3, -8) were you looking for the slope?
Step-by-step explanation:
i hope this helps, have a great day:)
Answer: the answer is x =3, y = -8
Step-by-step explanation:
40 points please help!! I will mark brainliest! Random answers will be reported
Answer:
B. Yes, SASStep-by-step explanation:
Given
PS ≅ RQPR ≅ RP∠SPR ≅ ∠QRPThe two sides and the included angle - SAS
Correct option is
B. Yes, SASGiven the following triangle, determine the measure of angle B to the nearest
degree
help me please people
You are choosing between two health clubs Club A offers membership for a fee of $20 plus a monthly fee of $24 Club B offers membership for a fee of $14 plus a monthly fee of $27 After how many months will the total cost of each health club be the same ? What will be the total cost for each club ? Videos
Answer:
x
=
5
, so after five months the costs would equal each other
Step-by-step explanation:
Diana and Michael, who are taking different classes, are arguing about who did better on their most recent test. Diana received a score of 92 on her History test and Michael received a 688 on his Math test. The mean test score for the History class is 71 with a standard deviation of 15.The mean test score for the Math class is 493 standard deviation of 150. Who did better, relative to other students in the same class? Justify your answer.
Answer:
Diana's score is better.
Step-by-step explanation:
In Diana case :
Score = 92
Mean score , μ = 71
Standard deviation σ = 15
So,
P( x ≥ 92 ) = 1 - P( x ≤ 92 )
= 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )
= 1 - P( z ≤ [tex]\frac{92 - 71 }{15}[/tex] )
= 1 - P( z ≤ 1.4 )
= 1 - 0.9192
= 0.0808 = 8.08 %
⇒P( x ≥ 92 ) = 8.08%
∴ we get
Diana score is > 91.92% other students in the class.
In Micheal case :
Score = 688
Mean score , μ = 493
Standard deviation σ = 150
So,
P( x ≥ 688 ) = 1 - P( x ≤ 688 )
= 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )
= 1 - P( z ≤ [tex]\frac{688 - 493 }{150}[/tex] )
= 1 - P( z ≤ 1.3 )
= 1 - 0.9032
= 0.0968 = 9.68 %
⇒P( x ≥ 688 ) = 9.68%
∴ we get
Micheal score is > 90.32% other students in the class.
From both scores , we can conclude that
Diana's score is better.
ꕥ Easy question! ꕥ
——————————————
What's the distance between (-4, 2) and ( 0, 2)?
——————————————
Please hurry T-T
Answer:
4
Step-by-step explanation:
since they are both on the same y coordinate, you have to count from -4 to 0, and that is 4
Graph the solutions to the inequality x-3>-2 on the
number line on the sketch
9514 1404 393
Answer:
see below
Step-by-step explanation:
Add 3 to both sides of the inequality to find the solution.
x -3 +3 > -2 +3
x > 1
This graphs as an open circle at x=1, with shading to the right.
Ruby's math teacher finds that there's roughly a linear relationship between the
amount of time students spend on their homework and their weekly quiz scores. This
relationship can be represented by the equation y=55 + 6x, where y represents
the expected quiz score and x represents hours spent on homework that week. What
is the meaning of the x-value when y = 76?
Answer: The number of hours a student should spend on their homework to expect a score of 76 on the quiz.
help pls i'll give brainliest, are they inverses or not explain why or why not
Answer:
no
Step-by-step explain why
because they have to be the same numbers
Simplify a× a× b×b
Help me pls
Greatest common factor 20x76 and 8x92
Answer:
dont know this one my apologies
29 cm
10 cm
8 cm
34 cm
26 cm
39 cm
Find the area.
Answer:
1246 sq cm
Step-by-step explanation:
First, you find the area of the rectangle without the part cut out of it. Then, you find the area of the part cut out. Finally, you subtract the two.
34 x 39 = 1326
10 x 8 = 80
1326 - 80 = 1246
Algebraic expressions can have a variable, operational symbols, and numbers?
true or flase
A 98% confidence interval for a proportion is found to be (0.72, 0.78). What is
the sample proportion?
Answer: 0.75 appex
Step-by-step explanation:
The sample proportion is 0.75 if 98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.
What is a confidence interval for population standard deviation?It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.
The formula for finding the confidence interval for population standard deviation as follows:
[tex]\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}[/tex]
Where s is the standard deviation.
n is the sample size.
[tex]\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}[/tex] are the constant based on the Chi-Square distribution table:
α is the significance level.
σ is the confidence interval for population standard deviation.
Calculating the confidence interval for population standard deviation:
We know significance level = 1 - confidence level
From the data the margin of error = (0.78 - 0.72)/2
MOE = 0.03
98% Confidence interval for a sample proportion:
n - 0.03 = 0.72
n + 0.03 = 0.78
The interval is (0.72, 0.78)
The sample proportion = 0.75
Thus, the sample proportion is 0.75 if 98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.
Learn more about the confidence interval here:
brainly.com/question/6654139
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Subtract 3x^2+8x3x 2 +8x from -9x^2+3x-8−9x 2 +3x−8.
Answer:
x =(-8+√-32)/6=(-4+2i√ 2 )/3= -1.3333+0.9428i
Step-by-step explanation:
The graph shown below displays the change in the average temperature of the world over time.
Which statement is the best description of the association between these variables?
Choose 1 answer:
A: As time went by, the average temperature tended to increase.
B: As time went by, the average temperature tended to decrease.
C: There is no clear relationship between time and average temperature.
Answer:a
Step-by-step explanation: you can clearly see that the points are going up
As time went by, the average temperature tended to increase.
What is scatter plot?A graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present.
Given is the graph shown below displays the change in the average temperature of the world over time.
The scatterplot has a positive correlation. This means that as time went by, the average temperature tended to increase.
Therefore, as time went by, the average temperature tended to increase.
To solve more questions on scatterplots, visit the link below -
https://brainly.com/question/29231735
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