Answer:
Average rate of change = [tex]\frac{15}{2}[/tex]
Step-by-step explanation:
For a closed interval [tex][a,b][/tex] in a function, the average rate of change is [tex]m=\frac{f(b)-f(a)}{b-a}[/tex].
Thus, given our interval of [tex][1,2][/tex] from the directions, we determine that [tex]f(b)=f(2)=-\frac{10}{(2)^2}=-\frac{10}{4}=-\frac{5}{2}[/tex] and [tex]f(a)=f(1)=-\frac{10}{(1)^2}=-\frac{10}{1}=-10[/tex].
Hence, [tex]m=\frac{f(b)-f(a)}{b-a}=\frac{(-\frac{5}{2})-(-10) }{2-1}=\frac{\frac{15}{2}}{1}=\frac{15}{2}[/tex].
In conclusion, the average rate of change of the function from x=1 to x=2 is [tex]\frac{15}{2}[/tex].
Twenty-five students were randomly selected and asked "How many hours of TV did you watch this weekend?" The sample mean for the data is 5 hours.
The dotplot below shows the distribution of the sample mean hours of TV watched for 500 random samples of size 25 taken with replacement from the
original sample.
45
6
S.S
Simulated sample mean
Distribution of Simulated Mean
• samples mean SD
500 4.969 0.288
Use the results of the simulation to approximate the margin of error for the estimate of the mean number of hours of television watched. (answer in the
format 0.123)
Using a confidence level of 95%, the margin of error for the estimate of the mean number of television hours watched will be 1.129
The approximate margin of error can be calculated using the relation :
Margin of Error = [tex] Z_{\frac{α}{2}} \frac{σ}{\sqrt{n}} [/tex] Sample size, n = 25 Standard deviation, = 2.88Confidence level = 95% [tex] Z_{\frac{α}{2}} = 1.96 [/tex]Margin of Error = [tex] 1.96 \frac{2.88}{\sqrt{25}} [/tex]
Margin of Error = [tex] 1.96 \frac{2.88}{5} [/tex]
Margin of Error = [tex] 1.96 \times 0.576 [/tex]
Margin of Error = [tex] 1.129 [/tex]
Therefore, the margin of error for the estimate of the mean number of television hours watched is 1.129.
Learn more : https://brainly.com/question/25630111
Evaluate the following linear equation y = 7x - 2, when x = 3.
20 points
Answer:
y = 19
Step-by-step explanation:
y = 7x - 2
=> y = 7(3) - 2
=> y = 21 - 2
=> y = 19
Therefore, y = 19
Hoped this helped.
Kim Barney pays a $290.00 annual premium for an insurance plan with a $500 deductible. The company pays 80% of the remaining expense. If Kim had $2,500.00 in medical expenses, calculate the following.
The amount that Kim Barney spends is $342 for medical expenses.
What is buying cost?Buying cost is the cost at which someone buys or is willing to buy shares, bonds.( including the tax)
here, we have,
Given that,
Kim Barney pays a $290.00 yearly premium for a $500.00 deductible insurance plan. 80 percent of the remaining cost is covered by the business. If Kim has medical costs of $2,500.00
To find : The amount that Kim barney spends for the medical expenses.
If the business covers 80% of the remaining balance ($1710), they will be responsible for paying $1368 of it.
10% of 1710 is 171
171x8=1368
The insurance provider covers the $1368.
Kim Barney spends $342.
Consequently, Kim Barney spends the following amount on medical costs $342.
To learn more about the cost click here:
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#SPJ2
The number of blocks has 9 in the ones place. The number in the hundreds place is one more than the number in tens place. Those two numbers equal 11. how many blocks are there?
Answer:
659
Step-by-step explanation:
11-1=10;10/2=5;5+1=6;6+5=11
the hundreds place has 6
the tens place has 5
the ones place has 9
659
Jerry left a $5.55 tip on a meal that cost $37. What percent of the meal's cost was the tip? What was the total cost of the meal including the tip?
2. What is the largest composite number less than 40?
Answer:
39
Step-by-step explanation:
39
Step-by-step explanation:
13 × 3 = 39
The largest composite number less than 40 is 39
Mr. Morgan's ice cream shop made $1,380 last weekend selling $2 scoops of ice cream. If he sells 100 more scoops this weekend, about how many scoops will he sell?
Answer:
1580$
Step-by-step explanation:
i really need help on my question!
Answer:
your answer is C
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
It is asking how many people have MORE than two fish. Not two fish.
15 + 3 + 2 = 20
Question 24 of 25
Which of these shows the result of using the first equation to substitute for y
in the second equation, then combining like terms?
y = 3x
3x + 2y = 18
ОА. Зу = 18
B. 3x = 18
O C. 9x = 18
O D, 6x = 18
SUBMIT
Answer:
C. 9x=18
Step-by-step explanation:
3x+2(3x)=18
3x+6x=18
9x=18
HELP ME OUT PLEASE
Which equation could represent the relationship shown in the scatter plot?
A) y = -3x - 2
B) y = 9x -1/2
C) y = -3/4x + 10
D) y = -2/3x + 1
Answer:
C) y = -3/4x + 10
Step-by-step explanation:
Slope is negative and its value (-3/4) can be determined from the line.
The line crosses the axis of ordinates at y = 10, when x = 0. If you substitute x for 0 in y = -3/4x + 10, y = 10. This corresponds to the line drawn in scatter plot.
What is the measurement of the angle shown below?
Answer:
The correct answer is (c) 30°
Hope it helps
what ordered pair is a solution of 3x - y = 13
Answer:
x=6,. y=5. is the answer
Someone pleases answer!
Answer:
Both are 65 degrees
Step-by-step explanation:
because you have parrallel lines, 2 would be the same as 65
Because 1 is on the opposite of 2, it would be the same
4(2 – x) > –2x – 3(4x + 1)
Answer:
X > -11/10
Step-by-step explanation:
What is equivalent to 6 + 3 x 9 - 4
Answer:
29
Step-by-step explanation:
6 + 3 x 9 - 4
6 + 27 - 4
33 - 4
=29
6
Mr. Drake has to drive 546 miles on a trip. He has drijven 48% of the way. About how
miles has he driven?
what is the percent of $300,000=$75,000
Answer:
25%
Step-by-step explanation:
75000/30000=75/300=25/100=25%
Answer:
25%
Step-by-step explanation:
(75,000/300,000) (100)
(0.25) (10)
= 25
y=7x+7 convert in standard form
Answer:
y/7=x+1
hope this helps you!!
How long is a distance of 8 km if measured on a map with a scale of 1:50,000?
Answer: 400,00 km
Step-by-step explanation: 1:50,000 = 8:x
8 * 50,000 = 400,000
So, 8km on the map is 400,000 km in real life.
Would appreciate brainly <3
Two hundred students are going to dine with the principal as their reward for perfect attendance. A random survey of 25 of these students was
conducted to determine how many of each meal should be prepared for dinner. The results are shown below.
• 12 students like pizza
8 students like cheeseburger
. 5 students like taco
Based on the survey results, which of these is the best prediction of the meals liked by the 200 students. (1.6H)
O A There are 16 students who want a cheeseburger.
OB There are 52 students who want either a cheeseburger or a taco.
O C There are 24 more students who want a taco than want a cheeseburger.
OD There are 32 more students who want pizza than want a cheeseburger.
DThere are 32 more students who want pizza than want a cheeseburger.
BRAINLIEST?
5. Mohan and Sohan have the same storybook. Mohan has read 2/5 of the book and Sohan has read 2/7 of the book. Who has read more pages? 6. Sonali and Priya are classmates Sonali completed her homework in a of an hour and Priya in of an hour 3/4 . Who was faster?
#5
Mohan read =2/5Sohan read=2/7Compare
[tex]\\ \sf\longmapsto \dfrac{2}{5}>\dfrac{2}{7}[/tex]
Mohan read more pages.#6
Sonali completed in=1/2Priya completed in=3/4[tex]\\ \sf\longmapsto \dfrac{1}{2}=\dfrac{2}{4}[/tex]
Compare
[tex]\\ \sf\longmapsto \dfrac{2}{4}<\dfrac{3}{4}[/tex]
Sonali was faster
What are the zeros of the polynomial function ()=(−2)(+4)(−5)?
Answer:
I dont know sry
Answer:
A p (x) = x3_ 7x2 _ 2x_ 40
B p (x) = x3 + 7x2 _ 2x_ 40
C p (x) =x3 _ 7x2 + 2x + 40
D p(x) = x3 +7x2 _ 2x + 40
I have more questions then this
Answer:1-1/3
2-16 in.
3-10.49
4-1/10
Step-by-step explanation:
i hope this helps
what is the area of the soccer field if x=40m?
base is 2x+20
height is x+20
how would is solve this?
Find the area of the shaded region. Round your answer to the nearest hundredth.
it will be 36
Step-by-step explanation:
fgdsb b zgffhxgv
a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base so that the two solids of equal weight will be formed?
A structure which has a square base and four triangular sides meeting at a point is called pyramid.
At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.
It is assumed that weight of pyramid is proportional to its volume.
So, [tex]w = k V[/tex] , where V is volume of original pyramid and v is volume of small pyramid and k is constant.
Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.
Assume that base area of original pyramid is A and base of small pyramid is a.
Volume of original pyramid is, [tex]V= \frac{1}{3} *A* 5[/tex]
So, weight of original pyramid, [tex]W = k *(\frac{1}{3} *A* 5) = 800[/tex]
Volume of small pyramid is, [tex]v = \frac{1}{3}* a* h[/tex]
So, weight of small pyramid, [tex]w = k*(\frac{1}{3}* a* h)=400[/tex]
Since, base and height of small pyramid and original pyramid are in proportion.
So, [tex]\frac{a}{A} = (\frac{h}{5}) ^{2}[/tex]
[tex]a = (\frac{h}{5} )^{2}A[/tex]
Substituting value of a in equation [tex]k*(\frac{1}{3}* a* h)=400[/tex]
So, [tex]k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400[/tex]
[tex](k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400[/tex]
Since, [tex](k *\frac{1}{3} *A* 5) = 800[/tex], substitute in above equation.
So, [tex]800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet[/tex]
Learn more:
https://brainly.com/question/17950304
Need help on this plz and thanks
Answer:
y = 5x - 25
Step-by-step explanation:
Using the equation y=mx+b to determine the function. The line must be perpendicular, so the m (slope) value must be the opposite reciprocal of the given equation, which is 5. Then you have to solve the equation using the given point to find b.
10 = 5 * (7) + b
10 = 35 + b
-25 = b
So final equation is y = 5x - 25.
what is the slope will mark brainlist
The equation of slope is y2 - y1/x2 - x1
0 - 4/0 - 5
-4/5
Another method in image added.
what does (-x)+(-x)+(-x)=
Answer: -3x
Step-by-step explanation:
(-x)+(-x)=-2x
-2x+(-x)=-3x
convert into Improper fraction
4 3/4
Answer:
Improper fraction = 19/3
Step-by-step explanation:
To convert to improper fraction;
1.) multiply the denominator with the whole number,
2.) then add the number you got with the numerator (this will be you new numerator)
3.) keep the denominator the same for the new fraction
Hope this helps!
Hello!
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4 3/4
First, we multiply the whole number by the denominator:
16
Then, we add the numerator:
19
19 is the numerator for our fraction.
Now, the denominator stays the same:
[tex]\frac{19}{4}[/tex] is our answer. Hope it helps you!
~SparklingFlower
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