Answer:
f(X)=2x+3
Step-by-step explanation:
f(4) = 2*4 + 3
= 8 + 3
= 11
Answer and Step-by-step explanation:
For this function, we need to plug in 4 for x to find out what the value of f(x) is when x is equal to 4.
f(4) = 2(4) + 3
= 8 + 3
= 11
The answer is 11, when the value is f(4).
#teamtrees #PAW (Plant And Water)
Find the difference quotient
f(x+h)-f(x)
h
and simplify.
f(x) = -9x + 2
-9h
0-9h+4
Help ASAP no links
Answer:
-9
Step-by-step explanation:
This is the function of derivative by definition. Which means f(x+h)-f(h)/h=f’(x).
f(x)=-9x+2
f’(x)=-9
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At α=0.02, can you reject the company's claim? Complete parts (a) through (e).
Answer:
The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.
Step-by-step explanation:
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim.
At the null hypothesis, you test that the mean caffeine content is of 35 milligrams, that is:
[tex]H_o: \mu = 35[/tex]
And at the alternate hypothesis, you test if the content is different from 35, so:
[tex]H_a: \mu \neq 35[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
35 is tested at the null hypothesis:
This means that [tex]\mu = 35[/tex]
During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams.
This means that [tex]n = 30, X = 36.8, \sigma = 7.3[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{36.8 - 35}{\frac{7.3}{\sqrt{30}}}[/tex]
[tex]z = 1.35[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of the mean caffeine content differing from the mean by at least 36.8 - 35 = 1.8, which is P(|z| > 1.35), which is 2 multiplied by the pvalue of z = -1.35.
Looking at the z = -1.35 has a pvalue of 0.0885
2*0.0885 = 0.177
The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.
line a is perpendicular to line b. if the slope of line a is 1/8, what is the slope of line b
Answer:
-8/1
Step-by-step explanation:
Perpendicular lines have opposite slopes., meaning the signs are opposite, and the numerator and denominator are flipped.
Here's another example:
If line a had a slope of 4/5, line b would have a slope of -5/4, if the lines are perpendicular.
Consider the figures shown to answer Part A and Parts B.
Which figures have a volume greater than 600 cubic inches?
Select all that apply.
A. Cylinder #1
B. Cone #1
C. Cylinder #2
D. Cone #2
E. Sphere
volume of sphere is 4.8 times the volume of cone (1).
A). Options (C) and (E) is correct.
B). 4.8 times
To choose the figure.
What is mensuration?The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.
Given that:
Part A
Volume of cylinder (1) = πr²h
= π*(6)²*(5)
= 565.5 cubic inches
Volume of cone (1)=π*r²*h/3
=π*6²*5/3
= 188.5 cubic inches
Volume of sphere =4π*r²*r/3
=4π*6²*6/3
= 904.8 cubic inches
Figure having volume greater than 600 cubic inches are cylinder (2) and sphere.
Part (B)
Volume of sphere/Volume of cone (1)=904.8/188.5 =4.8
Therefore, volume of sphere is 4.8 times the volume of cone (1).
Learn more about mensuration here:
https://brainly.com/question/23278855
#SPJ5
Box Plot for Problem #12
Use the method illustrated in the solutions to Exercise 9.2.39 to answer the following questions. (a) How many ways can the letters of the word DANCER be arranged in a row? Since the letters in the given word are distinct, there are as many arrangements of these letters in a row as there are permutations of a set with elements. So the answer is . (b) How many ways can the letters of the word DANCER be arranged in a row if D and A must remain together (in order) as a unit? (c) How many ways can the letters of the word DANCER be arranged in a row if the letters NCE must remain together (in order) as a unit?
Answer:
(a) 720 ways
(b) 120 ways
(c) 24 ways
Step-by-step explanation:
Given
[tex]Word = DANCER[/tex]
[tex]n =6[/tex] --- number of letters
Solving (a): Number of arrangements.
We have:
[tex]n =6[/tex]
So, the number of arrangements is calculated as:
[tex]Total =n![/tex]
This gives:
[tex]Total =6![/tex]
This gives:
[tex]Total =6*5*4*3*2*1[/tex]
[tex]Total =720[/tex]
Solving (b): DA as a unit
DA as a unit implies that, we have:
[DA] N C E R
So, we have:
[tex]n = 5[/tex]
So, the number of arrangements is calculated as:
[tex]Total =n![/tex]
This gives:
[tex]Total =5![/tex]
This gives:
[tex]Total =5*4*3*2*1[/tex]
[tex]Total =120[/tex]
Solving (c): NCE as a unit
NCE as a unit implies that, we have:
D A [NCE] R
So, we have:
[tex]n = 4[/tex]
So, the number of arrangements is calculated as:
[tex]Total =n![/tex]
This gives:
[tex]Total =4![/tex]
This gives:
[tex]Total =4*3*2*1[/tex]
[tex]Total =24[/tex]
The pitch P of a musical tone varies inversely as its wavelength w. One tone has
a pitch of 321 vibrations per second and a wavelength of 10.5 feet. If another
tone has a pitch of 374 vibrations per second, what is its wavelength?
Answer:
The wavelength of the second pitch is 12.23 feet.
Step-by-step explanation:
Since the pitch P of a musical tone varies inversely as its wavelength w, and one tone has a pitch of 321 vibrations per second and a wavelength of 10.5 feet, if another tone has a pitch of 374 vibrations per second, to determine what is its wavelength the following calculation must be performed:
321 = 10.5
374 = X
374 x 10.5 / 321 = X
3927/321 = X
12.23 = X
Therefore, the wavelength of the second pitch is 12.23 feet.
What is the value of the second quartile
Answer:
the value is 20 out of 100
Step-by-step explanation:
If a cone has a height of 16 feet and a volume
of 603.19 cubic feet, find the length of its
diameter.
Plzzzzzzzzzzzzzzzzzzz help
Answer:
25
Step-by-step explanation:
1/2 b h
1/2×10×5=25
so i guess the ans is 25 thats all I know
u take 1/2 base ×height
An object has a weight of 6.4 N.
Calculate the mass of the object.
Use the equation
mass = weight = gravitational field strength (g)
gravitational field strength = 9.8 N/kg
Answer:
Step-by-step explanation:
We can do this quite simply by using Newton's equation: forcegravity = G × M × mseparation2 .
Suppose: your mass, m, is 60 kilogram; the mass of your colleague, M, is 70 kg; your centre-to-centre separation, r, is 1 m; and G is 6.67 × 10 -11 newton square metre kilogram-2.
what is the volume of the rectangular prism shown below?
Answer:
48
Step-by-step explanation:
times 4 times 3 times 4 + 48
Write the equation of the circle with the given information.
Center: (5, -13)
Radius: 11
Answer:
(x - 5)² + (y + 13)² = 121
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, - 13 ) and r = 11 , then
(x - 5)² + (y - (- 13))² = 11² , that is
(x - 5)² + (y + 13)² = 121
A couple's anniversary dinner bill was $126.50. They tipped their waiter 20% of the bill. What was the total bill including tip?
Answer:
$151.80 was the total bill including tip.
Step-by-step explanation:
$126.50 x 20% = $25.30
$126.50 + $25.30 = $151.80
The net of a triangular prism is shown
below.
8.5 cm
10 cm
10 cm
10 cm
What is the total surface area of the prism?
A 470 cm?
C 390.5 cm?
B 385 cm
D 342.5 cm
Answer:
i think a.... sorry if im wrong
Step-by-step explanation:
A box contains paper clips of three different sizes. The numbers of each size of paper clip are listed below.
· 100 small paper clips.
· 250 medium paper clips.
· 150 large paper clips.
One paper clip is randomly selected from the box. What is the probability that the paper clip selected is either small of medium?
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
Add all paper clip sizes together:
[tex]100 + 250 + 150 = 500[/tex]
They want the probability of either a small or medium being chosen, so you add both paper clips sizes together.
[tex]100 + 250 = 350[/tex]
Now put the number of small and medium paper clips together over the total number of paper clips to find the probability.
Can divide 350 and 500 by 50, which simplifies it down to 7/10.
[tex]\frac{350}{500} = \frac{7}{10}[/tex]
The probability that the paper clip selected is either small or medium is 7/10.
What is the probability that the paper clip is either small or medium?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the paper clip selected is either small or medium = (number of small paper clip / total number of clips) + (number of medium paper clip / total number of clips)
= 100/500 + 250 / 500 = 350 / 500 = 7/10
To learn more about probability, please check: https://brainly.com/question/13234031
A:Consecutive interior angles
B:Vertical angles
C:Alternate exterior angles
D:Corresponding angles
Answer:
D: corresponding angle
hope it helps.
Answer:
corresponding angles
Step-by-step explanation:
hope it is helpful ><
5,8, 21, 17, 10, 11,5
What is the median of the set of numbers?
Answer:
10
Step-by-step explanation:
Rearrange in order, 5, 5, 8, 10, 11, 17, 21 and the median would be 10.
Use the graph of the polynomial function. What are the zeros
Of the polynomial
A{-2}
B{3,-1,4}
C{-3,1,4}
D{2}
Answer:
B
Step-by-step explanation:
Whenever the curved line touches the x-axis that will be the zeros of the function.
Please, I need help Try to explain if you can
Answer:
it the last choice
Step-by-step explanation:
you simply put the the x value and solove
Help please?
51c^3 -34 c
Melanie earns $97.50 in 6 hours. Earl earns $296.00 in 20 hours. Who earns the higher rate per hour? Explain your answer.
I need help with this math problem don't know how to do it.
Answer:
40
Step-by-step explanation:
The shape is a parallelogram.
formula = A = bh
b = 10
h = 4
10 x 4 = 40
PLEASE HELP FAST
What is the probability of rolling two dice and getting a sum that is a multiple of 5 or
rolling doubles (dice land on the same number)?
Answer:
1/3
Step-by-step explanation:
Look in the figure and circle all double rolls and all sums that equal 10.
See pic below. Then count them. There are 12.
12/36 = 1/3
At Gabrielle's Restaurant, 2/5 of the dishes on the menu are vegetarian, or the vegetarian
dishes, 3/4 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta
dishes?
K Write an expression for the sequence of operations described below. add y to z, then multiply 3 by the result
Answer:
3(y+z)
Step-by-step explanation:
y+z is added first so it is in parentheses and then multiply by the 3
It's Pythagorean theorem
Answer:
6root3
Step-by-step explanation:
Answer:
6 radical 3
Step-by-step explanation:
Melody paid for a scarf with a ten dollar bill her change was two dollar three quarters and two dimes how much was the scarf
Answer:
Step-by-step explanation:
10 -2.95 = 7.05
the scarf cost $ 7.05
Answer:
4456646
Step-by-step explanation:
its that bc we add
Hii!! Please help me out. To help me understand the answer just say exactly which part I'm putting the number in and stuff.
Answer:
y = 4;
y = 7;
x = 6
Step-by-step explanation:
Given the rule, y = x/2, find the missing values as shown below:
✔️For the first row, to find y, substitute x = 8 into y = x/2,
y = 8/2
y = 4
✔️For the second row, to find y, substitute x = 14 into y = x/2,
y = 14/2
y = 7
✔️For the third row, to find x, substitute y = 3 into y = x/2,
3 = x/2
3*2 = x
6 = x
x = 6
How do I do number 2 and 4 please help
Answer:
2: 176.8mm
4: ?
Step-by-step explanation:
2: 56 times 3.14 = 175.84 --> Nearest tenth: 176.8
4: I can't see the problem, sorry :(
Answer:
2. 2461.8
4. 86.6
Explanation:
your formula for area is pi×radius^2
you are using 3.14 for pi
and your radius is half way across the circle or half the diameter.
2. 3.14×(28)^2
3.14×784
=2461.8
4.This one shows the diameter so you have to divide it by 2 first.
10.5/2=5.25
radius=5.25
3.14×(5.25)^2
3.14x27.5625
=86.6
I ROUNDED BOTH ANSWERS AT THE END