Answer: 1%
Explanation: sorry if I’m wrong.
The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error
Answer:
9.60πcm²
Step-by-step explanation:
Area of circular disk, A = πr²
Differntiate A with respect to r
dA/dr = π * (2r^(2-1)) /(2-1) + C
dA/dr = π * 2r/1
dA/dr = 2πr
dA = 2πr * dr
dA = 2πrdr
dA = maximum error ; dr= Error in measurement = 0.2 cm ; r = radius = 24cm
dA = 2π * 24 * 0.2
dA = 9.60πcm²
Two linear functions are shown. Which function has the greater initial value?
Answer:
Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.
Step-by-step explanation:
✔️Function A:
Initial value = y-intercept (b)
y-intercept is the value of y, when the corresponding value of x = 0
From the table, y = 6 when x = 0.
The y-intercept of function A = 6
Therefore, initial value for Function A = 6
✔️Function B:
y = 4x + 3 is given in the slope-intercept form, y = mx + b.
b = y-intercept = initial value.
Therefore
Initial value for Function B = 3
✔️Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.
During the first 13 weeks of the television season, the Saturday evening 8:00 P.M. to 9:00 P.M. audience proportions were recorded as ABC 29%, CBS 28%, NBC 25%, and independents 18%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 95 homes, CBS 65 homes, NBC 87 homes, and independents 53 homes. Test with = .05 to determine whether the viewing audience proportions changed.
Required:
Compute the value of the 2 test statistic (to 2 decimals). The p value is Has a significant change occurred in viewing audience proportions?
Answer:
- The value of the 2 test statistic is 6.98
- There is no sufficient evidence to reject the claim of the specific distribution
Step-by-step explanation:
Given
Proportion (p)
[tex]ABC = 29\% = 0.29\\CBS = 28\% = 0.28\\NBC = 25\% = 0.25\\Others = 18\% = 0.18\\[/tex]
Samples
[tex]ABC = 95\\CBD = 65\\NBC = 87\\Others = 53\\\alpha = 0.05[/tex]
First, we formulate a table for chi square totals:
[tex]x^2 = \frac{(O - E)^2}{E}[/tex]
Where
O = Observed Frequency and E = Expected Frequency
So, we have:
[tex]\begin{array}{cccccc}{\ } & {O} & {E = np} & {O - E} & {(O -E)^2} & {x^2 = \frac{(O - E)^2}{E}} \ \\ \\ {0.29} & {95} & {87} & {8} & {64} & {0.736} &{0.28} & {65} & {84} & {-19} & {361} & {4.300} & {0.25} & {87} & {75} & {12} & {144} & {1.920} & {0.18} & {53} & {54} & {-1} & {1} & {0.019}\ \end{array}[/tex]
For ABC
[tex]E = np = 300 * 0.29= 87[/tex]
[tex]O-E =95 - 87 = 8[/tex]
[tex](O-E)^2 = 8^2 = 64[/tex]
[tex]x^2 = \frac{(O - E)^2}{E} = \frac{64}{87} = 0.736[/tex]
For CBS
[tex]E =np = 300 * 0.28 = 84[/tex]
[tex]O -E = 65 - 84 = -19[/tex]
[tex](O -E)^2 = (-19)^2 = 361[/tex]
[tex]x^2 = \frac{(O - E)^2}{E} = \frac{361}{84} = 4.300[/tex]
For NBC
[tex]E =np = 300 * 0.25 = 75[/tex]
[tex]O -E = 87 - 75 = 12[/tex]
[tex](O -E)^2 = (12)^2 = 144[/tex]
[tex]x^2 = \frac{(O - E)^2}{E} = \frac{144}{75} = 1.920[/tex]
For others:
[tex]E = np = 300 * 0.18 =54[/tex]
[tex]O - E = 53 - 54 = -1[/tex]
[tex](O - E)^2 = (-1)^2= 1[/tex]
[tex]x^2 = \frac{(O - E)^2}{E} = \frac{1}{54} = 0.019[/tex]
[tex]\sum x^2 = 0.736 + 4.300 + 1.920 + 0.019[/tex]
[tex]\sum x^2 = 6.975[/tex]
[tex]\sum x^2 = 6.98[/tex] --- approximated
The value of the 2 test statistic is 6.98
Next, is to determine the p value:
Calculate the degree of freedom
[tex]df = n - 1[/tex]
[tex]df = 4 - 1[/tex]
[tex]df = 3[/tex]
Using the [tex]x^2[/tex] table in the 3rd row,
[tex]\sum x^2 = 6.98[/tex] corresponds to:
[tex]p = 0.072699[/tex]
The value of p is:
[tex]0.05 < P < 0.10[/tex]
This implies that, we fail to reject H o
thx guysssssssssssssssssssssssssssssssssssssssss
In a code the vowels A-U in alphabetical order are replaced by the numbers 1-5, while the consonants B-Z in alphabetical order are replaced by the numbers 1-21. Thus ‘1 1 1 2’ could stand for either ‘ABAE’ or ‘BABE’. If the five words below are encoded, and the code numbers for the letters in each word are added up, which word has the largest total?
a] MATHS
b] EQUALS
c] ALGEBRA
d] PLUS
e] GEOMETRY
Answer:
A beacuse why not ya knoe
Please anyone help me on this
Answer:
y=-1/4x+21/4
Step-by-step explanation:
Slope=-2/8=-1/4
y=-1/4x+b
4=-1/4(5)+b
4=-5/4+b
5.25=b
21/4=b
6. A population of Florida fire ants grows at a rate of 8% a year. If there are 320 fire ants in
the initial population, find the sum of the geometric series after six population rotations.
PLZZZ HELP
Answer: 1920
Step-by-step explanation:
Cheryl Wilcox is planning for her retirement, so she is setting up a payout annuity with her bank. She wishes to receive a payout of $1,500 per month for twenty years.
(a) How much money must she deposit if her money earns 8% interest compounded monthly? (Round your answer to the nearest cent.)
(b) Find the total amount that Cheryl will receive from her payout annuity.
Answer:
35h6j7jhtgr54y6htsrhr6wrttttwy
Step-by-step explanation:
Find the distance between the points (-7, -9) and (9, -9).
Answer:
may be the answer is (16,-9)
Here's a graph of a linear function. Write the equation that describes that function
According to a survey, about 19% of all Americans are without health insurance. Assume that this estimate is reasonably accurate. Suppose that you select a random sample of 46 Americans. (a) Calculate the expected number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.) (b) Calculate the standard deviation of the number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.)
Answer:
a) 8.74
b) 2.6607
Step-by-step explanation:
For each American, there are only two possible outcomes. Either they are without health insurance, or they are not. In the sample, each person is independent of any other person, which means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
According to a survey, about 19% of all Americans are without health insurance.
This means that [tex]p = 0.19[/tex]
Suppose that you select a random sample of 46 Americans.
This means that [tex]n = 46[/tex]
(a) Calculate the expected number of Americans without health insurance in the sample.
[tex]E(X) = np = 46*0.19 = 8.74[/tex]
(b) Calculate the standard deviation of the number of Americans without health insurance in the sample.
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{46*0.19*0.81} = 2.6607[/tex]
Please do not send links you will be reported and removed. What is this answer in feet please
Answer:
16.2 feet
Step-by-step explanation:
Reference angle = 62°
Opposite = x
Adjacent = 8.6
Apply trigonometric function, TOA:
Tan 62 = Opp/Adj
Tan 62 = x/8.6
8.6 × Tan 62 = x
16.1742476 = x
x = 16.2 ft (nearest tenth)
X+y= -4 2x -2y= 0 what best describes the solution to the system
Answer:
install photomath
Step-by-step explanation:
.............
The cost of making a chair is $28 correct to the nearest dollar. Calculate the lower and upper bounds for the cost of making 450 chairs
Answer:
$12,375
$12820.50
Step-by-step explanation:
To obtain a rounded value of $28 (to nearest dollar) the lowest and highest possible value before rounding will be : 27.50 and 28.49
Hence,
Lower bound = $27.50
Upper bound = $28.49
Therefore. Cost of making 450 chairs ;
27.50 * 450 = $12,375 (lower bound)
28.49 * 450 $12820.50 (upper bound)
The excursion boat Holiday travels 35 km upstream and then returns to its starting point. The entire trip (both ways) took 4 hours and 48 minutes. If the speed of the boat in still water is 15 km /h and the current is 2.5km /h, how much longer is the trip upstream than the trip downstream?
Answer:
cundo estamos onectados me tocss
Step-by-step explanation:
18-10=5+5
Solve & answer T for True or F for False
Answer:
False
Step-by-step explanation:
I don't know much about math but
if u say 5+5= 10
5+10=15
nothing make 18 so
it false
If possible, evaluate the expression without a calculator. sin^-1 (-sqrt3/2)
Answer:
- 60° (or - π/3) or 240° and 300°
Step-by-step explanation:
sin⁻¹ ((-√3) /2) : in third quadrant and 4th quadrant will produce negative sine value
sin⁻¹ ((-√3) /2) = - 60° (or - π/3) or 240° and 300°
A cylinder has a volume of 51[tex]m^3[/tex]. What is the volume of a cone with the same diameter and height as the cylinder?
51 [tex]m^3[/tex]
8.5 [tex]m^3[/tex]
17 [tex]m^3[/tex]
153 [tex]m^3[/tex]
The cost to rent a game is $6.00 plus $1.50 per day. Which expression represents the cost to rent one game for a days?
Answer:
6+1.50a
a is the amount of days
a. Identify the relationship between the two
angles.
b. Write the equation used to represent the
relationship between the two angles.
c. Solve for the unknown variable.
Answer:
a - Mutual
b - (x+21)+(2x+3)=90
c - 3x +24 =90
3x=90-24
3x=66
X=22
LLLLLLLLLLL anyone need help with challenges?
Answer:
yes can you help me please
Step-by-step explanation:
Answer:
my challenge is to get brainliest
make me brainliest pls
Step-by-step explanation:
:)
Four points are drawn on the coordinate plane and connected with straight lines to form a rectangle. Three of the vertices of the rectangle are located at (2, 1), (2, 4) and (4.4). a What are the coordinates of the fourth vertex of the rectangle? b. What are the dimensions of the rectangle? c What is the area of the rectangle?
You have 2 points with the same x value of 2 and 2 points with the same y value of 4.
You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.
The missing point would need to be (4,1)
The width would be x2-x1 = 4-2 = 2 units
The length would be y2-y1 = 4-1 = 3 units
Area = 3x 2 = 6 square units
Put the following equation of a line into slope-intercept form, simplifying all fractions.
3x+2y=14
Answer:
y = -3/2x + 7
Step-by-step explanation:
First, let's identify what slope-intercept form is: y = mx + b
We have:
3x + 2y = 14
Right away, we can see that we need to 1) move x to the right side of the equation and 2) simplify y.
1) To move x to the right side of the equation, subtract 3x from both sides.
2y = -3x + 14
2) To simplify y, divide both sides by 2. When dividing the right side by 2, you need to evaluate each component (3x and 14, not just one)
y = -3/2x + 7
This is your equation in slope-intercept form.
Hope this helps!
Potencia con exponente negativo se queda igual. Cierto o Falso?
Answer:
Cierto
Step-by-step explanation:
Untaxi viaja
ina
velocidad de 48 mph
llegar a un destino
in 2 2 horas media.
y
¿ Cuál seria su velocidad
Si se tarda dos horas?
para
llegar
Answer:
60 millas por hora.
Step-by-step explanation:
Dado que un taxi viaja a una velocidad de 48 mph para llegar a un destino en 2 horas y media, para determinar cuál seria su velocidad si se tarda dos horas para llegar se debe realizar el siguiente cálculo:
48 x 2.5 = 120
120 / 2 = X
60 = X
Así, su velocidad, si se tardase dos horas en llegar, sería de 60 millas por hora.
[tex]3= \frac{f}{6} -1[/tex]
Answer:
f=24
Step-by-step explanation:
3 = f/6 - 1
Multiply both sides of the equation by 6.
18=f−6
Swap sides so that all variable terms are on the left hand side.
f−6=18
Add 6 to both sides.
f=18+6
Add 18 and 6 to get 24.
f=24
An arch in the shape of the upper half of an ellipse is used to support a bridge that is to span a river 60 meters wide. The middle of the arch is 10 meters above the center of the river. Start by writing an equation for the ellipse if the x-axis coincides with the water level and the y-axis passes through the center of the arch. How high above the river is the arch at a distance of 8 meters from the center?
The arch is ____ meters above the river at a distance of 8 meters from the center. Do not round until the end. Round to the nearest tenth of a meter.
Answer:
Step-by-step explanation:
(y/10)^2+(x/30)^2=1
y^2/100+x^2/900=1
9y^2+x^2=900
9y^2=900-x^2
y^2=(900-x^2)/9, when x=8 we have
y^2=(900-8^2)/9
y^2=(900-64)/9
y^2=836/9
y=9.6 meters
The arch is 9.6 meters above the river at a distance of 8 meters from the center.
You inherit $25,000 and deposit it into an account that earns 4.5% compounded continuously. How much money would be in the account after 10 years?
Answer:
sf
Step-by-step explanation:
In triangle ABC, angle C is a right angle. If cos A = 5 8, what is the value of cos B?
Answer:
65
Step-by-step explanation:
Which of the following is the correct factorization of the polynomial 4x2 - 11x +7?
A)
(4x - 1)(x - 7)
B)
(4x - 7)(x - 1)
C)
(4x - 7)(x + 1)
D)
(4x + 1)(x - 7)