The director of a customer service center wants to estimate the mean number of customer calls the center handles each day, so he randomly samples 29 different days and records the number of calls each day. The sample yields a mean of 279.4 calls with a standard deviation of 25.1 calls per day. He can be 99% confident that the mean number of calls per day is between 266.5 and ________. (Round your answer to 1 decimal place.)
Answer:
He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.
Step-by-step explanation:
Confidence interval:
A confidence interval is symmetric, which means that the difference between the sample mean and the lower bound is the same as the difference between the upper bound and the sample mean.
In this question:
Sample mean: 279.4 calls
Lower bound: 266.5 calls
Upper bound: x calls
Due to the symmetry of the confidence interval:
[tex]x - 279.4 = 279.4 - 266.5[/tex]
[tex]x = 12.9 + 279.4[/tex]
[tex]x = 292.3[/tex]
So
He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.
if p(x)=x*2-1 and q(x)=5(x-1),which expression is equivalent to (p-q)(x)?
Answer:
[tex](p - q)(x) = (x -1) (x - 4)[/tex]
Step-by-step explanation:
Given
[tex]p(x) = x^2 - 1[/tex]
[tex]q(x) = 5(x - 1)[/tex]
Required
(p - q)(x)
This is represented as:
[tex](p - q)(x) = p(x) - q(x)[/tex]
[tex](p - q)(x) = x^2 - 1 - 5(x - 1)[/tex]
[tex](p - q)(x) = x^2 - 1 - 5x + 5[/tex]
Collec like terms
[tex](p - q)(x) = x^2 - 5x + 5 - 1[/tex]
[tex](p - q)(x) = x^2 - 5x + 4[/tex]
Expand
[tex](p - q)(x) = x^2 -4x - x + 4[/tex]
Factorize
[tex](p - q)(x) = x(x -4) - 1(x - 4)[/tex]
[tex](p - q)(x) = (x -1) (x - 4)[/tex]
A biologist is growing a population of bacteria for a study. The number of millions of bacteria in the population is modeled by a function, f(x), where x is the number of days since yesterday. The table shows values of f(x) for different values of x.
x f(x)
−2 3.25
−1 3.5
0 4
2 7
4 19
The function f(x) can be represented by the equation f(x)=ax+b. Enter the value for a and b in the equation f(x)=ax+b.
Answer:
y = 2x
Step-by-step explanation:
Complete a table of values for –2 < x < 2. Connect the points on the graph with a smooth curve.
Write the equation of the line, in slope-intercept form, through the
following two points
(-4,-9)
(1, 11)
Answer:
(1, 11)
that the answer
I don't know it is not sure it say Write the equation of the line, in slope-intercept form, through the
following two points
that why i say that
Convert these improper fractions into mixed numbers.
5/4
Answer:
1 1/4
Step-by-step explanation:
4/4 + 1/4 = 5/4
4/4 = 1
so 1 1/4
Answer: 1 1/4
Step-by-step explanation: first we have to find the whole number then we divide the numerator and the denominator. then we are only interested in the whole numbers so we ignore the one to the right of the decimal. then we will used the whole number we calculated in step one and multiply it by the original denominator then is subtracted from original numerator. our next step is to simplify. then when that down we need to calculate the greatest common factor.
Convert 20 miles to km
Answer:
32.1869
Step-by-step explanation:
You can use an online converter!
You can look up Miles to KM
which of the following are magnitudes for rotational symmetry of the hexagon hexagon below about the marked point?
9514 1404 393
Answer:
(b) 120°
Step-by-step explanation:
The points on the figure are 120° apart, so each will replace the previous when the figure is rotated 120°.
The figure has 120° rotational symmetry.
__
That is also called "order 3 rotational symmetry" as there are three positions a point can be in that will make the figure look identical.
Answer:
B. 120 & D. 240 since they are both multiples of 120
Step-by-step explanation:
Hi! The person who explained it before me helped but didn't give the exact answer so I just wanted to say what it was so nobody got confused.
Have a nice day and hope this helps! :)
(btw it's right bc I just did it on khan)
in a major study by the statistics classes at Washington High School, city parking spaces were examined for compliance with the requirement to put money in the parking meters. Overall, the students found that 76% of metered parking places had meters that had NOT expired, and 24% had meters that were expired. If the traffic officer in charge of ticketing cars with expired meters checks meters at random, what is the probability he will find an expired meter BEFORE the 3rd one
Answer:
0.4224 = 42.24% probability he will find an expired meter BEFORE the 3rd one
Step-by-step explanation:
For each car, there is a 24% probability that it had expired parking meters.
What is the probability he will find an expired meter BEFORE the 3rd one?
Three possible outcomes:
Two expired(each with 24% probability)
First expired(24% probability) and second not(76% probability)
First not(76% probability) and second expired(24% probability). So
[tex]p = 0.24^2 + 2*0.24*0.76 = 0.4224[/tex]
0.4224 = 42.24% probability he will find an expired meter BEFORE the 3rd one
Two boards are placed end to end to make a walkway. One board is 5 feet 11 inches long, and the other board is 4 feet 6 inches long. How long is the walkway?
Write your answer in feet and inches. Use a number less than 12 for inches.
Answer:
10 feet 5 inches long
Step-by-step explanation:
12 inches = 1 foot
11 inches + 6 inches = 17 inches = 1 foot 5 inches
1 foot 5 inches + 5 feet + 4 feet = 10 feet 5 inches
Therefore, the walking board is 10 feet 5 inches long
The students will place a 10-inch ribbon on each stalk so that they can write the year and the height of the tree on it for reference. They will plant all 50 trees.
Answer:
i can´t enter the page
Step-by-step explanation:
Can someone please help me Ik it’s blurry but you have to zoom in it’s due tomorrow
Answer AND Step-by-step explanation:
1. x = 53° Supplementary Angles Theorem
2. x = 37° Complementary Angles Theorem
3. x = 45° Right angle = 90°, and 90 divided in half is 45, so 45 + 45 = 90
4. x = 180° Straight lines are 180 degrees.
5. x = 130° Vertical Angles Theorem
6. x = 90° Right Angle, and Vertical Angles Theorem
7. x = 15° Complementary Angles Theorem
8. x = 60° Supplementary Angles Theorem
9. x = 20° Complementary Angles Theorem
10. x = 140° Supplementary Angles Theorem
11. x = 47° Supplementary Angles Theorem
12. x = 18° Supplementary Angles Theorem
Supplementary Angles Theorem - two angles that are next to each other and add up to 180 degrees.
Complementary Angles Theorem - two angles that are next to each other and add up to 90 degrees.
Vertical Angles Theorem - Angles that are directly across from each other made by an intersection will have the same angle value.
#teamtrees #PAW (Plant And Water)
PLS HELP
WILL GIVE BRAINIEST
The points plotted below are on the graph of a polynomial. Which of the
following x-values is the best approximation of a root of the polynomial?
Check all that apply.
A. X-1.1
B. X= 4.3
C. x=2.4
D. X=6
E.X=1
Answer:
I don't know the answer but have a site that helps me with math, its called
Step-by-step explanation:
Just check it out
Panchito discovered the summer’s most refreshing beverage by mixing a 80% cranberry juice with a 4% of orange juice. How much of each should he mix together to make 190 ml of a 60% cranberry-orange juice blend
Answer:
Quantity of cranberry juice = 95 ml
Quantity of orange juice = 95 ml
Step-by-step explanation:
Step 1
Given ,
We have 80% cranberry juice and 4% of orange juice.
We have to find how much each should be mixed to make 190 ml of a 60% cranberry-orange juice blend.
Step 2
Let's assume
Quantity of cranberry juice =x ml
Quantity of orange juice =y ml
Then,
x + y = 190
and
x×80100 +y×4100 = 190×60100
⇒ 0.8x+0.4y = 114
⇒ 2x+y = 285
⇒ y = 285−2x
Step 3
Substituting y = 285−2x in x + y = 190
⇒ x+285−2x = 190
⇒ −x = 190−285
⇒ −x = −95
⇒ x = 95 ml
Substituting x = 95 in x + y = 190
⇒ 95 + y = 190
⇒ y = 190−95
⇒ y = 95 ml
So,
Quantity of cranberry juice =95 ml
Quantity of orange juice = 95 ml
2(4y) + 4(3r) answer
Answer: 8y+12r
Step-by-step explanation:
Take the equation
2(4y)+4(3r)
Distribute the 2 and 4 into the parenthesis'
8y+12r
Identify the parent function that can be used to graph the function f(x)=2[x-6]
Answer:
F(x) =2(1/2 x2-6x) +C
Step-by-step explanation:
Hope it helps
Answer: the correct answer is B. f(x)=[x]
Step-by-step explanation:
1. The parent function of a Function part full is shown below:
f(x)=[x] (This is the simplest form) Because from this function we can make transformations that allow us to obtain the function f(x) =2[x-6]
2. If you take the parent function and make y=f(x-6), then you have:
f(x-6)=[x-6] (The function is shifted 6 units on the positive x-axis)
3. Then you if you make y = 2f(x-6), as following, you obtain:
y = 2f(x-6)=2[x-6] (The function It expands vertically in the y-axis).
4. That is how you obtain the final function.
How many miles will Mrs. Garcia drive in eight hours if she is traveling 65 mph? _ miles
Answer:
she would probably drive 520 miles in she is driving 65 mph for a whole 8 hours
Step-by-step explanation:
Answer:
520
Step-by-step explanation:
This is a very simple explanation.
Mrs. Garcia drives eight hours...at 65mphs throughout the trip.
How many miles has she drove?
All you need to do is multiply 8x65 and you will get 520.
Mrs. Garcia drove a total of 520 miles.
PLEASE HELP DUE TONIGHT
Answer:
The answer should be 20,000 feet
Step-by-step explanation:
sin 0 =opposite/hypotenuse
sin 30 = AB/AC
sin 30 = 10000/c
c= 10000/sin 30
c=10000/1/2
c=20,000 feet
please help i put pic of question
Answer: [ -8, -5] or [1, 4]
Step-by-step explanation:
Thats what I got I'm in 7th and I havent learned this yet but hope I helped <3!!!
Cynthia has a photo frame that has a circumference of 56.52cm. What is the radius of the photo frame?
Answer:8.99 cm
Step-by-step explanation:
Answer:
[tex]8.995[/tex]cm
Step-by-step explanation:
The circumference formula is: [tex]C=2\pi r[/tex]
We are given the circumference, which is 56.52cm.
The question wants us to find the radius, r.
To achieve this, we must solve for r.
Plugging in 56.52 for C we get:
[tex]56.52=2\pi r[/tex]
Dividing both sides by [tex]2\pi[/tex], we find r:[tex]8.995[/tex]
[tex]\frac{56.52}{2\pi } =r[/tex]
[tex]8.995[/tex]≈[tex]r[/tex]
If you want to round it up, you can round it to 9cm.
9. The radius of sphere is increasing at a rate of 3cm/minute. Find the rate of change of volume
when r=2cm *
V = 12
48л
16л
64 л
32T
Answer:
48π
Step-by-step explanation:
Given that,
The radius of the sphere is increasing at a rate of 3cm/minute, [tex]\dfrac{dr}{dt}=3\ cm/minute[/tex]
The volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Differentiating both sides wrt t.
[tex]\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r^2\times \dfrac{dr}{dt}\\\\=4\pi r^2\times \dfrac{dr}{dt}[/tex]
Put r = 2 cm and dr/dt = 3 cm/minute
So,
[tex]\dfrac{dV}{dt}=4\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi \times 2^2\times 3\\\\\dfrac{dV}{dt}=48\pi[/tex]
Hence, the correct option is (a) "48π".
Jennifer and Micaela are selling pies for a school fundraiser. Customers can buy apple pies and pumpkin pies. Jennifer sold 4 apple pies and 5 pumpkin pies for a total of $86. Micaela sold 8 apple pies and 2 pumpkin pies for a total of $92. Find the cost each of one apple pie and one pumpkin pie.
9514 1404 393
Answer:
apple $9pumpkin $10Step-by-step explanation:
Let 'a' and 'p' stand for the prices of apple and pumpkin pies, respectively. Then the two sales are described by ...
4a +5p = 86
8a +2p = 92
Subtract half the second equation from the first to eliminate the 'a' variable.
(4a +5p) -(1/2)(8a +2p) = (86) -(1/2)(92)
4p = 40 . . . . . simplify
p = 10 . . . . . . . divide by 4
Substitute into the first equation:
4a + 5(10) = 86
4a = 36 . . . . . subtract 50
a = 9 . . . . . . . divide by 4
One apple pie costs $9; one pumpkin pie costs $10.
Sharon is using a calculator to find out how many hours she has spent on a certain job.She divides,and her display reads:
what does it read????
i want to answer the question but i dont have any information
A student eats 7 servings of vegetables and 4 servings of fruits one day. Which statement is true?
Answer:
Step-by-step explanation:
B
Which car traveled the farthest on
1 gallon of gas? Show your work.
Erin Thompson agreed to purchase a house for 97,900
Answer:
wow
Step-by-step explanation:
no way bro that's brazy
PLEASE ANSWER QUICKLY THX
this is harder than 1213321+2143 jk
The product of 4 and a number
Answer:
4*x
Step-by-step explanation:
Answer:
4x
Step-by-step explanation:
x in this case would be the number
PLEASE HELP
what is 74 × 12
please show your work
(I'm giving out easy points dont be sad if you didn't get points on this one, I'll be posting a lot of them so no worries)
If Tony Has 30 cookies, 10 sodas, and 20 lollipops and he eats 10 cookies, drinks 5 sodas and 10 lollipops, what does he have now?
A: Diabetes
B: No self control
C: Hypertension
D: All of the above
Answer:
C: Hypertension
Step-by-step explanation:
I'd say Hypertension would be the only educational way to answer this question in a scientific way. As u can see cookies,lollipops and sodas have a lot of sugar which could cause high blood pressure.
Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right?
Answer:
It's C. g(x) = (1.6)x − 9 + 5
Step-by-step explanation: hope it helps ^w^