Answer:
0.9692 = 96.92% probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
357 people.
281 in the 22-29 age bracket + 65 in the 18-21 that agree to respond. So
[tex]p = \frac{281+65}{357} = 0.9692[/tex]
0.9692 = 96.92% probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
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
the sum of the three sisters' ages is 51. If ava is 6 years older than
Camila, and Camila is twice as old as Luna, what are the ages of the
three sisters?
Create an equation with only one variable.
9514 1404 393
Answer:
Luna is 9Camila is 18Ava is 24Step-by-step explanation:
We can express all of the ages in terms of Luna's age. Letting L represent Luna's age, we have ...
Luna's age: LCamila's age: 2LAva's age: 2L +6The total of their ages is then ...
L +2L +(2L+6) = 51 . . . . an equation with one variable
5L = 45
L = 9
Luna is 9, Camila is 18, and Ava is 24.
HELP ME
The circumference of the base of a cylinder is 20 inches. The height of the cylinder is 5 inches. Find V.
Answer:
20 happy to helPNMNJHUJN
Step-by-step explanation:
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.
What is the common difference for this arithmetic sequence?
-6, -2, 2, 6, 10, ...
Answer:
4
Hope it helps
Please mark me as the brainliest
Thank you
common difference = t2 - t1 for all terms.
therefore d = -2 - (-6)
= -2 + 6
= 4
hope it helps :D
what is the H.C.F of 2³×3²
Write the quadratic equation whose roots are 6 and 2, and whose leading coefficient is 2
Answer:
Step-by-step explanation:
y = 2(x-6)(x-2) = 2(x²-8x+12) = 2x² - 16x + 24
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)
Please help ASAP due soon pretty easy question just stuck
Answer:
x=4 z=117
Step-by-step explanation:
Answer:
x = 4, z = 117
Step-by-step explanation:
14x + 7 and 63 are vertically opposite angles and are congruent, then
14x + 7 = 63 ( subtract 7 from both sides )
14x = 56 ( divide both sides by 14 )
x = 4
z and 63 are adjacent angles and are supplementary, then
z + 63 =180 ( subtract 63 from both sides )
z = 117
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.
Find the area of the triangle.
Answer:
182.82812
Step-by-step explanation:
Write a denominator for 3/8 and 2/12
Answer:
24
Step-by-step explanation:
8 * 3 = 24
12 * 2 = 24
(the star is the multiplication sign)
Hope this helps :)
pls help me I'm stuck on this one too
Answer:
the answer is 11
I hope it helps
have a nice day
#Captainpower
you roll two 6-sided number cubes
where is the question I dont see it
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 :)
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
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]
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:
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:
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
GIVING 25 PTS URGENT
Answer:
D) 76 sq in
Step-by-step explanation:
It’s 4 triangles. A=1/2bh
1/2(8)(5)=20 (two of these)
1/2(8)(6)=24
1/2(4)(6)=12
20+20+24+12=76
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
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)
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.
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
What is the area of the shaded region?
16 cm
A. 25.16 cm
B. 27.52 cm
C. 50.24 cm
D. 55.04 cm
Pls answer correctly I’ll give you brainliest
Answer:
1=2(4)+b
Step-by-step explanation:
slope intercept looks like this y=mx(or y=#x+#
if the slope is 2 the equation will be y=2x+b
to find b so x=4 and y=1 we can plug those numbers into the equation to find b
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
1)Find the angle of elevation of the sun from the ground when a tree that is
14ft tall casts a shadow 16ft long. Round to the nearest degrees
Answer:
[tex]\theta=41.18^{\circ}[/tex]
Step-by-step explanation:
Given that,
The height of the tree, h = 14 ft
The height of the shadow, b = 16 ft
We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,
[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{14}{16}\\\\\theta=41.18^{\circ}[/tex]
So, the required angle of elevation of the sun is equal to [tex]41.18^{\circ}[/tex].
Factorise the following expressions.
Answer:
Q.1 a²+10a+24
splitting the middle.
a²+6a+4a+24
=a(a+6)+4(a+6)
(a+6)(a+4)
Q.2 x²+9x+18
splitting the middle
x²+6x+3x+18
x(x+6)+3(x+6)
(x+6)(x+3)