Answer:
[tex]f(x) = {2x}^{3} - x \\ \delta \: f(x) = \frac{f(8) - f(2)}{2} \\ = \frac{(2 {(8)}^{3} - 8) - (2 {(2)}^{2} - 2)}{2} \\ = \frac{(1016 - 6)}{2} \\ = \frac{1010}{2} \\ = 505[/tex]
Jasmine's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 senior citizen ticket and 2
child tickets for a total of $33. The school took in $46 on the second day by selling 1 senior citizen tickets and 3 child tickets What is the
cost of buying 5 senior citizen tickets and 7 child tickets?
Answer:
$126
Step-by-step explanation:
A sample of 1600 computer chips revealed that 43% of the chips fail in the first 1000 hours of their use. The company's promotional literature states that 44% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is below the stated percentage. Is there enough evidence at the 0.05 level to support the manager's claim
Answer:
The p-value of the test is 0.209 > 0.05, which means that there is not enough evidence at the 0.05 level to support the manager's claim.
Step-by-step explanation:
The company's promotional literature states that 44% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is below the stated percentage.
At the null hypothesis, we test if the proportion is of 44%, the stated value. So
[tex]H_0: p = 0.44[/tex]
At the alternate hypothesis, we test if the proportion is below the stated value, that is, it is less than 0.44. So
[tex]H_1: p < 0.44[/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.
0.44 is tested at the null hypothesis:
This means that [tex]\mu = 0.44, \sigma = \sqrt{0.44*0.56}[/tex]
A sample of 1600 computer chips revealed that 43% of the chips fail in the first 1000 hours of their use.
This means that [tex]n = 1600, X = 0.43[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.43 - 0.44}{\frac{\sqrt{0.44*0.56}}{\sqrt{1600}}}[/tex]
[tex]z = -0.81[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.43, which is the p-value of z = -0.81.
Looking at the z-table, z = -0.81 has a p-value of 0.209.
The p-value of the test is 0.209 > 0.05, which means that there is not enough evidence at the 0.05 level to support the manager's claim.
The volume of a cube with sides 3xy^2
Answer:
27(x^3)(y^6)
Step-by-step explanation:
the steps are in the pic above
Answer for brainlest!!!!
Answer:
Step-by-step explanation:
angle 2 and angle 7 are alternate exterior angles.so they are always equal.
angle 2=angle 7
A prism is unfolded. Which of the following faces can be considered a base?
Check all that apply.
Α. Α
B. F
C.G
D .D
I think A but not sure
what's the answer I have 30 something more questions to go
Answer:
9 cm
Step-by-step explanation:
y = 12 - 3
y = 9
The figure shows a BD is 90° split by the Line BC the measure of ABC is X degrees in the measure of DBC is 3X +10° what is the value of X
X=20° is your answer
Step-by-step explanation:
X+3x+10°=90°
4x+10°=90°
4x=(90-10)°
X=80/4
X=20°
We can use the formula, density = mass over volume, to find the density of a substance. A square metal plate has a density of 10.2 grams per cubic cm, and mass of 21.93 grams. Calculate the volume of the plate.
Answer:
2.15cm^3
Step-by-step explanation:
V = Mass / Density
21.93g / 10.2g/cm^3
2.15cm^3
factor b2+18b+80=
......
Answer:
(b+8)(b+10)
Step-by-step explanation:
https://www.mathpapa.com/simplify-calculator/
help MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Step-by-step explanation:
using pythagoras theorem formula
a^2+b^2=c^2
19^2+52^2=c^2
361+2704=c^2
[tex]\sqrt{3065}[/tex]=c
55.36=c
55=c
substract 8 times the sum of a and b from 9y
Answer:
Step-by-step explanation:
according to the question ur equation is
9y-8(a+b)
9y-8a-8b
if the vertex of triangle abc is A(2, 3) B(4, 5) C(6, 2) . find the reflection of it through y axis
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A (2, 3 ) → A' (- 2, 3 )
B (4, 5 ) → B' (- 4, 5 )
C (6, 2 ) → C' (- 6, 2 )
Please help! It’s too hard
Answer: for sure c.
Step-by-step explanation: Let me know if im right!
I need the anwer fast pls HELP
The median is the middle number in a sorted, ascending or descending, list of numbers.
0, 0, 1, 1, 1.5, 1.5, 1.5, 1.5, 2, 2, 2, 2, 2.5, 2.5, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4.5,
Therefore, the median would be 2.5 hours.
Bryan has 86 more rubber bands than Hector. Hector has r rubber bands. Choose the expression that shows how many rubber bands Bryan has.
Answer:
You FAILED to list any choices
Step-by-step explanation:
b = r + 86
Answer: r+86
Step-by-step explanation: You add the number of rubber bands Hector has (r) and 86 to get the amount Bryan has.
Find value of x
How do I find the solution to this?
Answer:
3x+2+2x+5+2x-9=180(being linear pair)
7x-2=180
7x=180+2
x=182/7
x=26
Step-by-step explanation:
Find the area of the figure
Answer: 60 ft
Separate into 2 rectangles and add their areas together!
Vertical rectangle area: 10 x 3 = 30 ft
Horizontal rectangle area: 10 x 3 = 30 ft
Area of entire thing: 30 + 30 = 60 ft
A rectangular sheet of paper has an area of 1/2 square feet. The length of the paper is 2 feet. What is the width of the paper in feet? asap
Answer:
1/4 ft
Step-by-step explanation:
Area is equal to length times width
A = lw
1/2 = 2*w
Divide each side by 2
1/2 ÷2 = 2w/2
1/4 = w
Answer:
1/4 feet
Step-by-step explanation:
The formula for finding the area of a rectangle is A = lenght*width
1/2= 2*width
Width is 1/4 feet
What is the radius in the eqution below? (x - 5) ^ 2 + (y + 3) ^ 2 = 49
Answer:
7.
Step-by-step explanation:
The equation of a circle is
(x - h)² + (y - k)² = r²
Where
(h, k) is the center and r is the radius, so we only need to work with r.
The expression states that
r² = 49 or the radius squared is equal to 49. So solve for r to find the radius.
r² = 49
Take the square root.
r = 7
The radius of the equation is 7.
The sum of a number and 4 is equal to -43. Find the number
Answer:
the number is -47..
Step-by-step explanation:
let the number be'x'
x+4= -43x= -43-4x= -47hope it helps.
stay safe healthy and happy.[tex]\huge\bold{Given :}[/tex]
✎ Sum of two numbers = -43
✎ One of the number = 4
[tex]\huge\bold{To\:find :}[/tex]
✿ The other number.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\blue{The \:other \:number \:is\: -47.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
❥ Let the other number be [tex]x[/tex].
❥ As per the question, we have
[tex]sum \: of \: the \: two \: numbers = - 43 \\ ⇢ x + 4 = - 43 \\ ⇢ x = - 43 - 4 \\ ⇢ x = - 47[/tex]
[tex]\sf\purple{Therefore,\:the\:other\:number\:is\:-47.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( - 47) + 4= - 43 \\➪ \: - 47 + 4 = - 43 \\ ➪ \: - 43 = - 43 \\ ➪ \: \: L. H. S. = R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Todd bought 3/8 of a pound of banana chips. He ate 1/9 of what he purchased what fraction of a pound of banana chips did todd eat?
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
He bought 3/8 of a pound and ate 1/9 of it. The equation of this problem would be:
[tex]\frac{3}{8} * \frac{1}{9}[/tex] = amount he ate
Cancel the 3 on the numerator by dividing the denominator by 3.
[tex]\frac{1}{8} * \frac{1}{3}[/tex] = [tex]\frac{1}{24}[/tex]
Thus, he ate [tex]\frac{1}{24}[/tex] pounds of chips
Determine the cubic function that is obtained from the parent function y = x^3
after each sequence of transformations
Vertical stretch by a factor of 3; vertical translation up 4 units; horizontal translation left 2 units
Answer:
The answer here depends on whether you want to do them individually or collectively. If we go individually, then:
The vertical scaling gives us y = 3x³
The vertical translation gives us y = x³ + 4
The horizontal translation gives us y = (x + 2)³
On the other hand, if we want to apply all three at the same time, we get:
starting with a vertical scaling of 3, we get:
start with scaling: y = 3x³
add vertical translation: y = 3x³ + 4
and finally add horizontal translation: y = 3(x + 2)³ + 4
Peter and Mary take turns throwing one dart at the dartboard. Peterhits the bulls eye with probabilitypand Mary hits the bullseye with probabilityr.Whoever hits the bullseye first wins. Suppose Peter throws the first dart.(a) What is the probability that Mary wins
Answer:
[tex]P(Mary) = (1 - p) * r[/tex]
Step-by-step explanation:
Given
[tex]p \to[/tex] Peter hits
[tex]r \to[/tex] Mary hits
Required
The probability that Mary wins
From the question, we understand that Peter throws the first.
If Mary is to win, then Peter has to lose his throw
Using the complement rule, the probability that Peter misses is:
[tex]p' = 1 - p[/tex]
So, the probability that Mary wins is:
[tex]P(Mary) = p' * r[/tex]
This gives:
[tex]P(Mary) = (1 - p) * r[/tex]
Please help!!! Trigonometry is so complicated to me
Answer:
x = 4
Step-by-step explanation:
Given that sin(13x) = cos(9x+2)
Since sintheta = cos(90 - theta)
hence sin (13x) = cos (90 -13x)
Substitute into the original equation
cos (90 -13x) = cos(9x+2)
90-13x = 9x+2
-13x - 9x = 2 - 90
-22x = -88
x = 88/22
x = 4
Hence the value of x is 4
4. Function h describes the height of a ball, in inches, after n bounces and is defined by
the equation h(n) = 120 * (4/5)^n
Could h(n) be 150? Explain how you
Answer:
NO
Step-by-step explanation:
(4/5)^n will always be ≤ 1 for any positve n
The equation h ( n ) = 150 is false
No , the height of the ball cannot be 150 inches
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
h ( n ) = 120 x ( 4/5 )ⁿ
Now , substitute the value of h ( n ) = 150 , we get
150 = 120 ( 4/5 )ⁿ
Divide by 120 on both sides of the equation , we get
150 / 120 = ( 4/5 )ⁿ
On simplifying the equation , we get
5/4 = ( 4/5 )ⁿ
The equation is not true because we have a exponential decay function here. This height of the ball decreases with each bounce.
At bounce 0 the height of the ball is 120 inches, and then continuously decreases with a common factor of 4/5
Therefore , the value of h ( n ) can never be 150
Hence , the equation h ( n ) = 150 is false
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Take the common logarithm of both sides of
the equation. Use the power law to bring
the exponent (2x+1) down as a factor.
5(2x+1) = 8
Step 1: Take the common logarithm of both sides of the equation. Use the power property to bring the exponent, (2x+1), down as a factor.
Step 2: Solve the equation from step 1 for x. Round your final answer to the nearest hundreth.
(2x+1)*log(5) = log(8)
2x+1 = log(8)/log(5) = ~ 1.29203
2x = 0.29203
f(x)=3√x²-1 and f(x)=2 find x
Answer:
5
Step-by-step explanation:
See the image below:)
find the vertex of y= x^2 + 6x-55
Answer: ( − 3 , − 64 )
Step-by-step explanation:
knowledge!
If P is inversely proportional to Q and if pad when Q = 4. Find the value
of when Q = 3.
A) 7 B) 6 C) 12
Answer:
8
Step-by-step explanation:
If p is inversely proportional to Q and P is 6 when q = 4, then;
p = k/q
6 = k/4
k = 6*4
k = 24
To get P when q = 3
Recall;
p = k/q
p = 24/3
p = 8
Hence the required value of p is 8
Note that the value of initial Q was assumed
a tourist drove his car for the total of 17.5 hours while on a 3-day vacation on the first day he drove 4.5 hours in the second day he drove for 2.5 times as many hours as he drove on the first day how many hours did the tourist drive on the third day of his vacation (HELP PLEASE)
Answer:
1.75 hours
Step-by-step explanation:
Time for day 1 : 4.5 hrs
Time for day 2: (4.5 ×2.5)
Time for day 3: let it be denoted by a variable ,say T.
Total Time= 17.5
(Time for day 1 ) + (Time for day 2) +(Time for day 3) =17.5
4.5 + (4.5×2.5) + T = 17.5
4.5+11.25+T =17.5
15.75+T=17.5
T=17.5-15.75
T= 1.75