Answer:
25 percent
Step-by-step explanation:
There is 12 spots on the chart
3 of these spots are green or 3/12
3/12 is equivalent to 1/4
1/4 of 100 in 25 percent
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)
A model rocket is built to the scale 1:20, or 1 inch - 20 feet. The actual rocket is 4440 feet
tall. How tall is the model rocket in inches?
A 11.1
B. 18.5
C. 222
D. 240
Answer:
it is 222
Step-by-step explanation:
1440 divided by 20 :)
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:
Find the distance between the points (-7, -9) and (9, -9).
Answer:
may be the answer is (16,-9)
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
Part C
What are the y-intercepts for function I and function Il?
Answer:
the relation is a function, determine whether the function is ... to y = 2x + 2 a. Il slope = 2 b. ... Change to the slope- intercept form: (show work below) -_y 2x+1. 4- 5= 2(x+3).
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 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
simplify 1/2 +2/3-1/6
Answer:
1
Step-by-step explanation:
1/2 = 3/6
2/3 = 4/6
3/6 + 4/6 = 7/6
7/6 - 1/6 = 6/6 or 1
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)
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:
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
solve -4(x+2)-2x+4 plzzzzzzzzzzzzzzzzzzzz
Answer:
-6x-4
Step-by-step explanation:
Answer:
-6x-4
Step-by-step explanation:
Solve the systems of equations problem using Elimination.
{3x+6y=27
{x+2y=11
Please clearly explain how you got your answer.
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.
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.
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)
01:37:06
Which equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2)? Select two
options.
Oy=x+1
3x - 4y = -4
4x - 3y = -3
Oy-2 = (x-4)
By+2 = (x +4)
Save and Exit
Next
Submit
Mark this and return
Answer:
3x - 4y = -4
Step-by-step explanation:
When you put co-ordinate in it then give zero
3(-4)-4(-2)+3=0
3x-4y=-4 equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is 3x - 4y = 7
Convert it to slope intercept form
-4y = 7 - 3x
4y=-7+3x
y=-7/4+3/4x
y=3/4x-7/4
3/4 is the slope and the parallel line should also have the same slope.
Now equation of line passing through (-4, -2)
-2=3/4(-4)+b
-2=-3+b
-1=b
So y=3/4x-1
3x-4y=-4 is another equation represents the line which is parallel.
Hence, 3x-4y=-4 equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2).
To learn more on slope of line click:
https://brainly.com/question/16180119
#SPJ7
What is -1
What is the answer
Answer:
1
Step-by-step explanation:
The answer is actually just positive 1.
Absolute value is the direct opposite of a number with a positive value on a number line. However, the absolute value is always answered in a positive form of the number meaning that no matter what the number is (even if it's a positive number) the answer will always be that same number, but in positive form.
Remember, if a number is in between two of these " | " then the answer will be that same number but in positive form.
Hope this helps and have a nice day.
-R3TR0 Z3R0
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.
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°
Pls help, i will give brainliest:
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys. Choose all that are correct.
The median for the girls is 16.
The median for the boys is 22.
The interquartile range for the girls is 28
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Answer:
2 and 4
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:
Will give Brainliest and 100 points! Prove the divisibility of the following numbers: 5^5-5^4+5^3 by 7
Answer:
See Below.
Step-by-step explanation:
We have the expression:
[tex]5^5-5^4+5^3[/tex]
And we want to prove that it is divisible by 7.
To do so, we can factor out a 5³ from the expression. This yields:
[tex]=5^3(5^2-5^1+1)[/tex]
Simplify the parentheses:
[tex]=5^3(25-5+1)=5^3(21)[/tex]
We can see that the resulting expression is a value being multiplied by 21.
Since 21 is divisible by 7, our original expression must also be divisible by 7.
Hence proven.
Answer:
SEE BELOWStep-by-step explanation:
to understand thisyou need to know about:PEMDASgiven:[tex] \displaystyle \sf\frac{ {5}^{5} - {5}^{4} + {5}^{3} }{7} [/tex]let's solve:[tex] \sf \: factor \: out \: {5}^{3} : \\ \displaystyle \sf\frac{ {5}^{3}( {5}^{2} - {5}^{} + 1) }{7} [/tex][tex] \sf simlify \: parentheses \{squre \} : \\ \sf \frac{ {5}^{3} (25 - 5 + 1)}{7} [/tex][tex]\sf simlify \: parentheses \{addition \} : \\ \sf \frac{ {5}^{3} (25 - 4)}{7} [/tex][tex]\sf simlify \: parentheses \{substraction \} : \\ \sf \frac{ {5}^{3} (21)}{7} [/tex][tex] \sf \: cancel \: 7 \: and \: 21 : \\ \frac{ {5}^{3} \cancel{(21) } \ ^{3} }{ \cancel{ \: 7 \: }} [/tex]we can see 21 is divided by 7 therefore our original expression must also be divisible by 718-10=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
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
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
Determine whether the underlined number is a statistic or a parameter. Choose the correct statement below. because the value is a numerical measurement describing a characteristic of a . because the value is a numerical measurement describing a characteristic of a . because the value is a numerical measurement describing a characteristic of a . because the value is a numerical measurement describing a characteristic of a .
Complete question :
Determine whether the underlined number is a statistic or a parameter.
"In a study of all 4841 students at a college, it is found that 55% own a computer."
Answer:
because the value is a numerical measurement describing a characteristic of a population.
Step-by-step explanation:
The difference between statistic and parameter lies in the fact that, statistics are used in describing the numerical value obtained from a sample of data. While parameter are used to describe the numerical characteristics of a population.
Hence, all students of a college refers to the population(entire students). Therefore, the numerical characteristics obtained from such data would be called a parameter.
Potencia con exponente negativo se queda igual. Cierto o Falso?
Answer:
Cierto
Step-by-step explanation:
is this right? and if not pls tell why but if I'm right tell why anyway
Answer:
Thats right
Step-by-step explanation:
Model 2 is just Model 1 divided into 3 parts.
Since only 1 of those three parts is shaded, its 1/3.