Answer:
17 and a half days OR 18 days
Step-by-step explanation:
7 books : 8 days
20 books: x days
cross multiply
x = (8×20)÷ 7
x = 17.5
therefore
17 and a half days or 18 days
20 students were asked “How many pets do you have in your household?” and the following data was collected:
2 1 0 3 1 2 1 3 4 0
0 2 2 0 1 1 0 1 0 1
Select the type of the data ?
CHOOSE ONE PLEASE HELP
Discrete
Continuous
Categorical
Qualitative
Answer:
Discrete
Discrete data represent items that can be counted; they take on possible values that can be listed out. The list of possible values may be fixed (also called finite); or it may go from 0, 1, 2, on to infinity (making it countably infinite).
The lines shown below are parallel. If the green line has a slope of -2, what is
the slope of the red line?
Answer:
Hi! There's no picture, but we don't need that to find the answer. Parallel lines always have the same slope. I suppose you're saying that the green and red line are parallel -- so, the red line's slope is also -2.
-2 <--
Hope this helps!! Have a nice day & please mark brainliest if you don't mind!
Use the remainder term to find the minimum order of the Taylor polynomial, centered at 0, that is required to approximate the following quantity with an absolute error no greater than 10^-2.
√1.06.
n>= __________
Answer:
n ≥ 3
Step-by-step explanation:
Applying the remainder term in evaluating the minimum order of the Taylor polynomial
absolute error ≤ 10^-2
[tex]\sqrt{1.06}[/tex]
∴ n ≥ ?
The remainder term is the leftover term after computation ( dividing one polynomial with another )
attached below is the detailed solution
The minimum order of the Taylor polynomial, n≥3
What is Taylor polynomial?Taylor polynomial is a series of functions that has an infinite sum of terms that are expressed in terms of the function's derivatives.
[tex]\rm f(a)+\frac{f'(a)}{1!} (x-a)+\frac{f''(a)}{2!} (x-a)^{2} +....,[/tex]
Applying the Taylor series polynomial, the minimum order of the Taylor polynomial, centered at 0
[tex]\rm f(0)+\frac{f'(0)}{1!} (x-0)+\frac{f''(0)}{2!} (x-0)^{2} +....,[/tex]
f(x) = [tex]\sqrt{x+1}[/tex]
[tex]f'(x)=\frac{1}{2}[/tex]
[tex]f''(x)=3/8[/tex]
substituting in the Taylors series
T(x) = [tex]1+\frac{x}{2} -\frac{x^{2} }{8} +\frac{x^{3} }{16}[/tex]......
T(0.06) = [tex]1+\frac{0.06}{2} -\frac{0.06^{2} }{8} +\frac{0.06^{3} }{16}...[/tex]
T(0.06) =1.03
f(0.06) =
[tex]\sqrt{0.06+1}\\= 1.03[/tex]
Therefore, the minimum order of the Taylor polynomial, n≥3
Learn more about Taylor polynomial;
https://brainly.com/question/23842376
What steps are included in the construction of a perpendicular line through a point on a line
Answer:
A perpendicular line from a given point
Place your compass on the given point (point P).
From each arc on the line, draw another arc on the opposite side of the line from the given point (P).
Use your ruler to join the given point (P) to the point where the arcs intersect (Q).
Answer:
get the slope of original line
take the inverse of the slope and multiply by -1 (2/3 becomes - 3/2)
y = -b/a x + b
plug on y & x using the given point
calculate the "B"
go back to the y = -b/ax + calculated "B"
that is your answer
Step-by-step explanation:
Solve the equation. If there is no solution, select no solution.
Answer:
no solution to the question
Answer:
4 2/3
Step-by-step explanation:
The two-step equation is solved regularly. The answer is 4 2/3.
Draw a graph of direct proportion, expressed by the formula: y=3x
Answer.
ANSWER
.......
What is the slope of the points (-2,7) and (2,-5)?
4
-3
-12
3
Answer:
-3
Step-by-step explanation:
Slope is equal to (-5-7)/(2-(-2)=-12/4=-3
An automobile went 84 miles on 6.5 gallons of gasoline. At this rate, how many gallons would be needed to travel 126 miles
Answer:
10 gallons
Step-by-step explanation:
84 ÷ 6.5 =12.9(The unit rate.)
Seeing as one gallon can get you 12.9 miles;
126÷12.9=9.7
So the answers 9.7 gallons, but if you need to round, then 10 to get a whole number.
Answer:
9.75
Step-by-step explanation:
We can write a ratio to solve
84 miles 126 miles
-------------- = -------------------
6.5 gallons x gallons
Using cross products
84 x = 6.5 * 126
84x=819
84x/84 = 819/84
x = 9.75
Pam’s eye-level height is 324 ft above sea level, and Adam’s eye-level height is 400 ft above sea level. How much farther can Adam see to the horizon? Use the formula d = StartRoot StartFraction 3 h Over 2 EndFraction EndRoot, with d being the distance they can see in miles and h being their eye-level height in feet.
1 mi
StartRoot 6 EndRoot mi
19 mi
19 StartRoot 6 EndRoot mi
9514 1404 393
Answer:
(b) √6 mi
Step-by-step explanation:
Putting the given heights into the formula, we find the difference in distances to be ...
Adam' horizon distance = √((3/2)(400)) = 10√6 . . . miles
Pam's horizon distance = √((3/2)(324)) = 9√6 . . . . miles
Then the difference Adam can see is farther than the distance Pam can see by ...
10√6 -9√6 = √6 . . . miles
The picture shows the graph of the movement of a pedestrian (B) and a bicyclist (A). Using the graph, answer the following questions: How many times is the distance covered by the bicyclist for 1 hour greater than the distance covered by the pedestrian for the same amount of time
Answer:
15km
Step-by-step explanation:
hope it is well understood
for any Integer 'a',a ÷ 0 is _______
give me answer
Answer:
undefined, invalid
and for a limit expression like a/x, x->0 we also say this is infinite.
Write the additive inverse of each of the following rational numbers:
Answer:
(1)-3/4, (2) 5/21, (3)4/43
Express the decimal 0.7 as a percentage.
Answer:
70% IS THE ANSWER
Step-by-step explanation:
Hope I helped.
Answer:
70%
Step-by-step explanation
0.7×100=70
Martina got a prepaid debit card with $20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 19 cents per yard. If after that purchase there was $15.63 left on the card, how many yards of ribbon did Martina buy?
Phone card = $20
You need to minus 17.92 from 20 = $2.08
$2.08 / 0.13 = how many minutes
= 16
PLEASE HELPPPPPPPPPPPPPP
Answer:
False
Step-by-step explanation:
To find the inverse of a function, switch the variables and solve for y.
The inverse of f(n)=-(n+1)^3:
[tex]y=-(n+1)^3[/tex]
[tex]n=-(y+1)^3[/tex]
[tex]\sqrt[3]{n} =-(y+1)[/tex]
[tex]\sqrt[3]{n} =-y-1[/tex]
[tex]\sqrt[3]{n} +1=-y[/tex][tex]-(\sqrt[3]{n} +1)=y[/tex]
[tex]-\sqrt[3]{n} -1=y[/tex]
Answer:
False
Step-by-step explanation:
A stick 1 meter long casts a shadow 1.3 meters long. A building casts a shadow 25 meters long. How tall is the building (to 2 decimal places)
Answer: 19.23 meters
Step-by-step explanation:
1/1.3 = x/25
(1) (25) / 1.3
= 19.23 meters
if 2x + 1=7 what is the value of x
Answer:
x=3
Step-by-step explanation:
2x+1=7
2x=7-1
2x=6
x=6/2
x=3
Answer:
Solution,
2x + 1=7
or 2x = 7 - 1
or, 2x= 6
or, x = 6
2
or, x = 3
.:. x = 3
P over 8 4
The solution is ___.
9514 1404 393
Answer:
1680
Step-by-step explanation:
nPk = n!/(n-k)!
8P4 = 8!/(8-4)! = 8·7·6·5 = 1680
3. A rectangular sheet of paper is 121/2 cm long and 102/3 cm wide. Find its perimeter .
Answer:189 cm
Step-by-step explanation:
the area of a perimeter is 2L+2w while l is length and w is width
in this case, 121/2 is the length and 102/3 is the width.
using the formula it should be
121/2 x 2 +102/3 x
= 121 + 68
=189 cm
i hope this helps.
State the counting number in the periodic table of elements of the element considered to be the heaviest gas. (the answer should consist of numbers only)
9514 1404 393
Answer:
118
Step-by-step explanation:
Oganesson is the heaviest element ever created. It is a "super-heavy" noble gas with a half-life less than 1 millisecond. Its atomic number is 118.
Please if anyone can help me
The weights of items produced by a company are normally distributed with a mean of 4.5 ounces and a standard deviation of 0.3 ounce. a. What is the probability that a randomly selected item from the production will weigh at least 4.14 ounces? b. What percentage of the items weighs between 4.8 and 5.04 ounces? c. Determine the minimum weight of the heaviest 5% of all items produced. d. If 27,875 items of the entire production weigh at least 5.01 ounces, how many items have been produced?
Answer:
The right solution is:
(a) 0.8849
(b) 12.28%
(c) 4.9935
(d) 28004
Step-by-step explanation:
Given:
Mean,
= 4.5
Standard deviation,
= 0.3
(a)
P(x > 4.14)
As we know,
⇒ [tex]z = \frac{4.14-4.5}{0.3}[/tex]
[tex]=-1.20[/tex]
then,
⇒ [tex]P(z>-1.20) = P(z<1.20)[/tex]
[tex]=0.8849[/tex]
(b)
P(4.8 < x < 5.04)
= [tex]P(\frac{4.8-4.5}{0.3} < \frac{x-\mu}{\sigma} < \frac{5.04-4.5}{0.3} )[/tex]
= [tex]P(1<z<1.80)[/tex]
= [tex]P(z<1.80)-P(z<1)[/tex]
= [tex]0.9641 -0.8413[/tex]
= [tex]0.1228[/tex]
or,
= [tex]12.28[/tex] (%)
(c)
P(x > x) = 0.05
z value will be,
= 1.645
⇒ [tex]1.645 = \frac{x - 4.5}{0.3}[/tex]
[tex]x = 4.9935[/tex]
(d)
P(x < 5.01)
⇒ [tex]z = \frac{x- \mu}{\sigma}[/tex]
[tex]=\frac{5.01-4.5}{0.3}[/tex]
[tex]=1.7[/tex]
P(z < 1.70) = 0.9554
⇒ [tex]n = \frac{27875}{0.9954}[/tex]
[tex]=28004[/tex]
help what it is please help
9514 1404 393
Answer:
A. the mean
Step-by-step explanation:
The Greek letter μ is customarily used to represent the mean of a distribution or data set. Its location in this figure at the highest point and the line of symmetry is consistent with μ identifying the mean of this normal distribution.
2 hundreds equal how many tens?
Lets see if ya'll know the answer cause i do
Answer:
200 is equal to 20 tens I guess lol
Answer:
20 tens
Step-by-step explanation:
200÷10=20 groups of ten
PLZ HELP ASAP
A student poll on campus wanted to analyze the correlation of the Number of calories consumed per day to the weight of a student. in the form of a paragraph describe which visual display is most appropriate to represent the data. explain your reasons for choosing this type of visual display.
Answer:
Each kids weight in a chart
Step-by-step explanation:
I chose this because its the most organized way of doing that
Keith may need some help from his manager. A customer is on the phone and she is really angry. She is threatening to post nasty comments on her blog. What should Keith say to his manager? O a) "She's angry. You deal with it." b) "So she's really angry. Her product never arrived. I think we should offer to send her a replacement product free of charge, but wanted your input." "So l'll tell her to calm down. I think she's overreacting. I doubt she'll post c) anything online." "She's really angry; she ordered the product last Wednesday, Don in customer d) service said it would arrive a week later. It was a dollhouse for her niece, Can you take it from here?"
Answer:
"She's really angry; she ordered the product last Wednesday, Don in customer service said it would arrive a week later. It was a dollhouse for her niece, Can you take it from here?" is the best option
Step-by-step explanation:
Susan randomly selected a sample of plants to determine the average height of the total 35 plants in her garden. She measured the heights (in inches) of 12 randomly selected plants and recorded the data:
1.0, 1.4, 1.8, 2.0, 2.5, 3.5, 4.2, 4.5, 4.8, 5.0, 5.3, 6.0
What is the sample mean of the heights of the plants in Susan's garden?
Answer:
3.5 inches
Step-by-step explanation:
Sample mean basically means that we need to find the average of the samples.
So the formula for finding average is
Number of observations/ Number of Occurrences
So when we add the values together we get
42.
So there are 12 numbers
So, 42/12 =
3.5 inches
The sample mean of the heights of the plants in Susan's garden is
3.5 inches.
Here,
Susan randomly selected a sample of plants to determine the average height of the total 35 plants in her garden.
She measured the heights (in inches) of 12 randomly selected plants and recorded the data:
1.0, 1.4, 1.8, 2.0, 2.5, 3.5, 4.2, 4.5, 4.8, 5.0, 5.3, 6.0
We have to find the sample mean of the heights of the plants in Susan's garden.
What is Average?
Average value in a set of given numbers is the middle value, calculate as dividing the total of all values by the number of values.
Now,
The recorded data is;
1.0, 1.4, 1.8, 2.0, 2.5, 3.5, 4.2, 4.5, 4.8, 5.0, 5.3, 6.0
To find the sample mean of the heights of the plants in Susan's garden we have to find the average of the recorded data.
Formula for average = [tex]\frac{sum of number of observation}{ number of occurrence}[/tex]
Hence, Average = [tex]\frac{1.0+ 1.4+1.8+2.0+ 2.5+3.5+4.2+4.5+ 4.8+ 5.0+ 5.3+ 6.0}{12} = \frac{42}{12} = 3.5[/tex]
Therefore, The sample mean of the heights of the plants in Susan's garden is 3.5 inches.
Learn more about the average visit:
https://brainly.com/question/22905678
#SPJ2
The stem-and-leaf plot lists the ages of customers in a bookstore.
How many customers are 19 or younger?
Enter your answer in the box.
Answer:
Step-by-step explanation:
Kendall wants to estimate the percentage of vegetarians who are also vegan. She surveys 150 vegetarians and finds that 45 are vegan. Find the margin of error for the confidence interval for the population proportion with a 95% confidence level.
Answer:
0.0733364
Step-by-step explanation:
Given :
Number of vegans = x ;
Sample size, n = 150
Zα/2 ; Zcritical at 95% = 1.96
p = x / n = 45 / 150 = 0.3
Margin of Error :
Zcritical * √(p(1 - p) / n)
1.96 * √(0.3(1 - 0.3) / 150)
Margin of Error :
1.96 * √(0.3 * 0.7) / 150)
1.96 * √0.0014
Margin of Error = 0.0733364
find the value of the trigonometric ratio
Answer:
15/17
Step-by-step explanation:
sinA = CB/CA =15/17
Answer:
15/17Step-by-step explanation:
sine = opposite / hypotenusesin A = BC/ACsin A = 15/17