Answer:
One sample t test
Step-by-step explanation:
A one proportion sample t test is employed when we intend to test the sample mean of a certain sample against a particular or specified population property . In the scenario above, we could use the information given to obtain the one sample proportion test statistic by using the formular :
Test statistic = (xbar - μ) ÷ (σ/sqrt(n))
Where, xbar = sample mean ;
μ = population mean
σ = population standard deviation
n = sample size
Using the test statistic, we can then obtain the Pvalue and compare to the specified α - level
The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either involved in a relationship or uninvolved. Among involved people, 15 percent experience a breakup of their relationship every month. Among uninvolved people, 15 percent enter into a relationship every month. What is the steady-state percentage of residents who are uninvolved
Answer:
the steady-state percentage of residents who are uninvolved is 0.5
Step-by-step explanation:
Given the data in the question;
let N represent total number of people in the dormitory
I represent people involved in a relationship
and U represent people uninvolved in a relationship.
so
N = I + U
I = N - U ------ let this be equation 1
Rate of Uninvolved = U/N
now, given that rate of break ups B = 15% every month = 0.15
rate of entering into relationship R = 15% every month = 0.15
Now, the steady state condition is;
RU = BI ------- let this be equation 2
such that uninvolved rate is constant.
we input equation 1 into 2;
RU = B( N - U )
we divide both sides by N
RU/N = B( N/N - U/N )
RU/N = B( 1 - U/N )
U/N = B / (B + R)
so we substitute
U/N = 0.15 / (0.15 + 0.15)
U/N = 0.15 / 0.3
U/N = 0.5
Therefore, the steady-state percentage of residents who are uninvolved is 0.5
what is vaule of y when x=4'5
Answer:
[tex]y = 2.096[/tex] or [tex]y = \frac{2\sqrt5+6}{5}}[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]
[tex]x = \frac{4}{5}[/tex]
Required
Find y
[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]
Substitute [tex]x = \frac{4}{5}[/tex]
[tex]y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5[/tex]
[tex]y = 5 + \sqrt{4/5} + 0.2 - 4[/tex]
Collect like terms
[tex]y = \sqrt{4/5} + 5 + 0.2 - 4[/tex]
[tex]y = \sqrt{\frac{4}{5}} + 1.2[/tex]
Split the surd
[tex]y = \frac{\sqrt4}{\sqrt5}} + 1.2[/tex]
[tex]y = \frac{2}{\sqrt5}} + 1.2[/tex]
Rationalize
[tex]y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2[/tex]
[tex]y = \frac{2\sqrt5}{5}} + 1.2[/tex]
Take LCM and add
[tex]y = \frac{2\sqrt5+1.2*5}{5}}[/tex]
[tex]y = \frac{2\sqrt5+6}{5}}[/tex]
or solve as:
[tex]y = \frac{2*2.24+6}{5}}[/tex]
[tex]y = \frac{10.48}{5}[/tex]
[tex]y = 2.096[/tex]
Which of the following are possible answers you might get when solving a system of equations? Select all that apply
A. One Solution
B. No Solution
C. Infinite Solutions
D. Unique Solutions
Samantha makes $8.00 an hour babysitting. With the money Samantha earns babysitting, she plans to buy herself a MP3 player that costs $154.00.
Which inequality represents the number of hours Samantha would have to babysit in order to have enough money to buy the MP3 player?
A youth group takes a bus to the movie theater. The cost of a drink is $2.25, the cost of popcorn is $3.45, and the cost of a ticket is $7.00. Each student gets a ticket, a drink, and popcorn. The bus rental costs $100.
If the total cost of the trip is $252.40, how many people went?
Sandra surveyed 15 of her friends to find the number of badges and stickers they owned.
Based on the distribution of data, which observation is correct?
The mean number of stickers is about 1.3 times the mean number of badges.
The mean number of stickers is about 1.3 times the mean number of badges.
The mean number of stickers is about 0.78 times the mean number of badges.
The mean number of stickers is about 0.78 times the mean number of badges.
The mean number of badges is greater than the mean number of stickers because the tallest column is farther right.
The mean number of badges is greater than the mean number of stickers because the tallest column is farther right.
The median number of badges is greater than the median number of stickers because the tallest column is farther right.
The median number of badges is greater than the median number of stickers because the tallest column is farther right.
Answer:
8h ≥ 154
Step-by-step explanation:
Mark me Brainllest
Calculate the number of edges of the solid. Given it has 8 faces; 4 hexagons & 4 triangles
Answer:
20 Edges
Step-by-step explanation:
As this figure shows only 10 edges..so to meet the given condition (8 faces; 4 hexagons & 4 triangles) same figure is present at the back making total of 20 Edges.
Find the area of the shaded region
What three-dimensional figure is represented by the net shown below?
A cube
B square pyramid
C rectangular prism
D rectangular pyramid
Answer:
C
Step-by-step explanation:
The net, if you imagine it folded up, will look like a long box.
Because all the dimensions are not equal, the figure cannot be a cube. Both square and rectangular pyramids have 5 faces, unlike this net.
A net of a rectangular prism, however, will have different dimensions for [tex]l[/tex] and [tex]w[/tex], and have 6 faces. So, the answer is C, rectangular prism.
Good luck ^^
The three-dimensional figure represented by the net shown below is a rectangular prism.
Option C is the correct answer.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
From the figure,
We see that it is an open rectangular prism.
All the open sides are rectangular in shape.
If we fold all the sides it will form a rectangular prism.
Thus,
The three-dimensional figure represented by the net shown below is a rectangular prism.
Learn more about prism here:
https://brainly.com/question/12649592
#SPJ2
Two small planes start from the same point and fly in opposite directions. The first plane is flying 25 mph slower than the second plane. In 2 hrs, the planes are 470 mi apart. Find the rate of each plane.
Answer:
105 mph = rate of first plane
130 mph = rate of second plane
Step-by-step explanation:
Let r = rate of first plane
then r + 25 = rate of second plane
2r = distance of first plane
2(r + 25) = distance of second plane
2r + 2(r + 25) = 470
2r + 2r + 50 = 470
4r = 420
r = 105 mph
r + 25 = 130 mph
the perimeter of a rectangle is 36cm.If it is length is 10 cm find its breadth
Answer:
The perimeter of a rectangle is 36 cm, its breadth is 8 cm
Step-by-step explanation:
For a given rectangle
Perimeter (P) = 36 cm
length (L) = 10 cm
Now,
Perimeter (P) = 2 × (length + breadth)
P = 2 × (l + b)
36 = 2 × (10 + b)
36 = 20 + 2b
2b = 36 - 20
2b = 16
b = 16 ÷ 2
b = 8 cm
Thus, The perimeter of a rectangle is 36 cm, its breadth is 8 cm
-TheUnknownScientist
The perimeter of a rectangle is 36 cm. If its length is 10 cm, find its breadth.
Answer:-Given:-[tex] \bullet [/tex] Perimeter (P) of a rectangle is 36 cm.
[tex] \bullet [/tex] Length (L) of a rectangle is 10 cm.
To Find:-Breadth (B) of a rectangle.
Solution:-We know,
P = 2(L + B)
So,
36 = 2(10 + B)
36 = 20 + 2B
36 - 20 = 2B
16 = 2B
B = 16/2 = 8 cm.
Breadth (B) of a rectangle is 8 cm. [Answer]If the outside diameter of a pipe is 1.275 feet and the inside diameter is 0.975 feet how thick is the pipe
Answer:
2.250 feet thick
Step-by-step explanation:
hope it helps mark as brainliest
Answer:
Step-by-step explanation:
The outside diameter minus the inside diameter would leave a difference of TWICE the thickness of the pipe, so divide the difference by 2
Pipe Thickness = (OD - ID) / 2
= (1.275 - 0.975) / 2
= 0.3 / 2
= 0.15 feet
Find the area of the composite figure
Answer:
196 ft
Step-by-step explanation:
Bc im guessing
Mark as smartest and Brainliest
Choose all of the statements that correctly compare the two functions shown.
Alec's rate of savings is greater than Beth's.
entific
Alec and Beth are saving at the same rate.
Alec started with more money than Beth
mulas
Time
maining
:19:23
Beth started with more money than Alec,
de les
At 10 days, Alec will have $1 more than Beth in savings,
Answer:
b, c and e
Step-by-step explanation:
Given
See attachment for functions
Required
Select all statements that contain both functions
First, calculate the rate (slope) of both functions.
This is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For Alec's
[tex](x_1,y_1) = (0,3)[/tex]
[tex](x_2,y_2) = (2,9)[/tex]
So, the slope is:
[tex]m = \frac{9 - 3}{2 - 0}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
For Beth's
[tex](x_1,y_1) = (5,17)[/tex]
[tex](x_2,y_2) = (12,38)[/tex]
So, the slope is:
[tex]m = \frac{38 - 17}{12 - 5}[/tex]
[tex]m = \frac{21}{7}[/tex]
[tex]m =3[/tex]
Beth and Rec have the same slope. Hence, they save at the same rate.
Next, determine the amount they started with.
This implies that we calculate y when x = 0
From Alec's graph.
[tex](x,y) = (0,3)[/tex]
Alec's initial savings is 3
For Beth's savings, we make use of slope formula.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex](x_1,y_1) = (5,17)[/tex]
[tex](x_2,y_2) = (0,y)[/tex]
So, we have:
[tex]3 =\frac{y - 17}{0 - 5}[/tex]
[tex]3 =\frac{y - 17}{ - 5}[/tex]
[tex]y - 17 = -15[/tex]
[tex]y = 17 -15[/tex]
[tex]y = 2[/tex]
Beth's initial savings is 2
Hence, Alec started with more money
Next, is to determine who has more money after 10 days.
Since they save at the same rate, the difference in their savings after any number of days will be the difference in their initial savings.
The difference (d) is calculated as:
[tex]d = 3 - 2[/tex]
[tex]d = 1[/tex]
Hence, Alec will have $1 more than Beth after 10 days
Answer:
its bc and e or Alec and Beth are saving at the same rate. Alec started with more money than Beth. and At 10 days, Alec will have $1 more than Beth in savings.
Step-by-step explanation:
HELP! WILL GIVE BRANLIEST!!
Answer:this is quite hard as i cant see the cone but the one you have may be the answer i am not sure of this beacuse i cannot see the cone shape.
Step-by-step explanation:
PLEASE HELP ME THIS IS URGENT I HAVE 6 MINUTES PLEASEE
Answer:
1 goes to 2
2 goes to 4
3-goes to 1
and 4 goes to 3
Step-by-step explanation:
What is the slope of the line 4x + 2y = 8?
А 2
b -2
c 1/2
d -1/2
Answer:
x = -1/2y+2
Step-by-step explanation:
4x+2y=8
Step 1: Add -2y to both sides.
4x+2y+−2y=8+−2y
4x=−2y+8
Step 2: Divide both sides by 4.
4x/4 = -2y+8/4
x = -1/2y+2
Hope this helps!
for triangle ABC with sides a,b and c the law of cosines states
c^2=
in which of the following cases must the law of cosines be used to solve a triangle?
ASA SSS SAS SSA
Option C is correct. The law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)
For a triangle, ABC with sides a, b, and c respectively, the law of cosines is used on such a triangle if there is a presence of an angle between any two sides.
For example, if angle C is between the sides a and b, the equivalent cosine rule will be expressed as:[tex]c^2 = a^2 + b^2 + 2ab cos C[/tex]
Hence the law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)
Learn more here: https://brainly.com/question/20880990
i’ll give brainliest please help it's due in 30 min
A factory received a shipment of 11 hammers, and the vendor who sold the items knows there are 2 hammers in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the hammers in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places
Question:
If a sample of 2 hammer is selected
(a) find the probability that all in the sample are defective.
(b) find the probability that none in the sample are defective.
Answer:
a [tex]Pr = \frac{2}{110}[/tex]
b [tex]Pr = \frac{72}{110}[/tex]
Step-by-step explanation:
Given
[tex]n = 11[/tex] --- hammers
[tex]r = 2[/tex] --- selection
This will be treated as selection without replacement. So, 1 will be subtracted from subsequent probabilities
Solving (a): Probability that both selection are defective.
For two selections, the probability that all are defective is:
[tex]Pr = P(D) * P(D)[/tex]
[tex]Pr = \frac{2}{11} * \frac{2-1}{11-1}[/tex]
[tex]Pr = \frac{2}{11} * \frac{1}{10}[/tex]
[tex]Pr = \frac{2}{110}[/tex]
Solving (b): Probability that none are defective.
The probability that a selection is not defective is:
[tex]P(D') = \frac{9}{11}[/tex]
For two selections, the probability that all are not defective is:
[tex]Pr = P(D') * P(D')[/tex]
[tex]Pr = \frac{9}{11} * \frac{9-1}{11-1}[/tex]
[tex]Pr = \frac{9}{11} * \frac{8}{10}[/tex]
[tex]Pr = \frac{72}{110}[/tex]
-5.225 as a mixed number.
Answer:
-5 9/40
Step-by-step explanation:
Need help!!!!!!!!!!!
Answer:
90°
-Sum of angles in a triangle= 180°
-angle C is 90°
-therefore angle A + angle B is,
180° - 90° = 90°
Please help me ASAP really need help!!!
Answer:
2.7
Step-by-step explanation:
the scale factor should be consistant as you scale up and down. So you can divide 4.59 by its corresponding side of 1.7 in order to get the scale factor of 2.7. When repeated with the other sides this number should remian consitant.
Question 2 of 10
What is the solution to this equation?
x - 16 = -8
A. x= 8
B. x = -8
C. x = 24
D. x= -24
Use the information in the figure to determine the height of the pole.
(x + 5)^2 + (x/2 + 6)^2 = (30)^2
Take it from here.
Answer:
pole height = 29 ft
Step-by-step explanation:
x² = 30² - (1/2x + 6)² = 30² - (1/4x² + 6x + 36) = 900 - 1/4x² - 6x - 36
combine like terms:
x² = -1/4x² - 6x + 864
1 1/4x² + 6x - 864 = 0
divide both sides of the equation by 1 1/4:
x² + 4.8x - 691.2 = 0
(x - 24)(x + 28.8) = 0
x = 24 ft
pole height = 24 + 5 = 29 ft
Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Answer:
Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and ... - did not match any documents.
Suggestions:
Make sure that all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords.
D 2. Squares, rectangles, and rhombi åre types of trapezoids.
True
O
False
Answer:
false
Step-by-step explanation:
Which of the following represents the domain and range for the logarithmic
function below?
Help please
Fernando and Maria are at opposite sides of a park. They plan to meet later at a fountain that is located somewhere between them. Maria will arrive at the fountain first, before Fernando even leaves his starting location. The ratio of Maria's starting location to the fountain to Fernando's starting place is 5:3. What is the location of the fountain? Round to the nearest tenth, if necessary. ( ,
Answer: the fountain is located at point (-1,-0.5)
Step-by-step explanation:
Answer: (-1 , -0.5)
Step-by-step explanation:
Please help asap please help
Answer:
C. 40 + (-58) + 160Step-by-step explanation:
It would be easier with C., the other options are already easy to calculate
40 + (-58) + 160 = 40 + 160 + (-58) = 200 - 58 =142At Ralphs Italian Ices, 145 sundaes were sold in June. Sales were up 23% in July. How many sundaes were sold in July?
Answer:
I Think 178
Step-by-step explanation:
help me for a brianly
Answer:
32 yd²
Step-by-step explanation:
because 8 • 4 is 32 so it's 32 yd²
Answer:
A = 32 yds^2
Step-by-step explanation:
We know the formula for the area of a rectangle is
A = lw where l is the length and w is the width
A = 4 yds * 8 yds
A = 32 yds^2