Step-by-step explanation:
Given
Now arranging in ascending order
7 , 12 , 13, 24 , 24
No of data (N) = 5
Now
Position of Median
= ( N+1) / 2 th item
= (5+1)/2 th item
= 3rd item
So Now
Exact Median = 13
Based on a poll of 100 citizens, a community action group claims that 38% of the population is in favor of the construction of a senior center using tax dollars. A business group claims that the poll is not valid and that 65% of the citizens favor the construction of the senior center using tax dollars. To determine whether this sample supports the population proportion of 0.38, a simulation of 100 trials is run, each with a sample size of 200 and a point estimate of 0.65. The minimum sample proportion from the simulation is 0.42, and the maximum sample proportion from the simulation is 0.72. The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion? (0.55,0.75) (0.28,0.48) (0.45,0.85) (0.18,0.58)
Answer:
(0.55, 0.75)
Step-by-step explanation:
The standard deviation and range are both used to measure the spread of a data set. The number of the range and standard deviation gives us information in its own way how spaced out the data are due to the fact that they are both a measure of variation. However, there is not an explicit relationship between the range and standard deviation, there is a rule of thumb that can be useful to relate these two statistics. This relationship is sometimes referred to as the range rule for standard deviation.
The range is estimated to be 6 standard deviations wide. Therefore, the standard deviation is:
Standard deviation= maximum sample proportion - minimum sample proportion / 6
σ = (0.72 - 0.42) / 6
σ = 0.05
The margin of error is defined as a statistic showing the amount of random sampling error in the result of a survey. The greater the margin of error, the lesser the confidence that a poll result would reflect the result of a survey of the entire population.
Here, the margin of error is ±2σ, so:
ME = ±0.10
Interval estimation in statistics is the use of sample data to compute an interval of possible values of an unknown population parameter. This is therefore in contrast to point estimation, which gives a single value.
Therefore, the interval estimate is:
(0.65 - 0.10, 0.65 + 0.10)
(0.55, 0.75)
(a)Nicole has a box of candies and will randomly choose one piece. The odds against choosing a lemon-flavored piece are . What is the probability of choosing a lemon-flavored piece?
Since the odds against choosing the lemon-flavored piece wasn't included, let us now assume that it is 2/5
Answer:
The Probability of choosing a lemon-flavored piece is 5/7
Step-by-step explanation:
Please kindly see the attached files for explanation
An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of two different flavors, one topping, and one cone are possible?
144
120
432
360
not enough information
Answer:
360 combinations
Step-by-step explanation:
To calculate the number of different combinations of 2 different flavors, 1 topping, and 1 cone, we are going to use the rule of multiplication as:
6 * 5 * 4 * 3 = 360
1st flavor 2nd flavor topping cone
Because first, we have 6 possible options for the flavor, then we only have 5 possible options for the 2nd flavor. Then, we have 4 options for the topping and finally, we have 3 options for the cone.
It means that there are 360 different combinations of two different flavors, one topping, and one cone are possible
Given triangle EFG shown below, state the value of the cosine of angle G the hypotenuse which is also side EG = 53 side EF = 45 side GF = 28 F is a right triangle
Answer:
[tex]cos(G)=\frac{28}{53}[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle EFG
[tex]cos(G)=\frac{GF}{EG}[/tex] ----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
[tex]cos(G)=\frac{28}{53}[/tex]
Circle O is inscribed in square EFGH.
The circumference of circle Ois 20 centimeters.
Which of the following is closest to the perimeter
of square EFGH?
A. 27 cm
B. 24cm
C. 28.5cm
D. 24.5cm
Answer:
D) 25.5 cm
Step-by-step explanation:
Circumference = pi × d
20 = 3.14 × d
d = 6.3694267516
Diameter = length of one side
Perimeter of the square = 4s
4(6.3694267516)
25.4777070064 cm
From the options, closest is 25.5
Find the solution by elimination method.
Please Help.
Answer:
I'm newbie here
Step-by-step explanation:
Elimination Method.
4x + 6/y = 15 → step 1
6x - 8/y = 14 → step 2
so,
4x + 6/y = 15 |×6|
6x - 8/y = 14 |×4|
24x + 6/y(6) = 90
24x - 8/y(4) = 56
24x + 36/y = 90
24x - 32/y = 56
____________ _
68/y = 34
68 = 34y
34y = 68
y = 2
subsitution y = 2 to..
4x + 6/y = 15
4x + 6/2 = 15
4x + 3 = 15
4x = 12
x = 3
So, for x is 3, and for y is 2
Answer:
x = 3, y = 2
Step-by-step explanation:
Multiply equation 1 by -6
-24x - 36/y = -90
Multiply equation 2 by 4
24x - 32/y = 56
Add the two equations:
-36/y - 32/y = -34
-68/y = -34
y = -68/-34
y = 2
4x + 6/2 = 15
4x = 15 - 3
4x = 12
x = 3
Question 1
Create a triangle of your choice on the grid. Measure two of the angles on the triangle and the length of the side between the two angles. Record
the measurements in the table
Answer:
see attached
angles: 39.8°, 68.2°; side: 8
Step-by-step explanation:
The triangle and its measurements are shown in the attachment.
_____
If you do this with pencil and paper and protractor, likely your angle measurements will only be to the nearest degree.
Ok second time putting this up. CAN SOMEONE HELP?!
Answer:
18x^2 - 45x + 28 , ( r + 4 )( r + 3 )
Step-by-step explanation:
Heres your answers :)
What is the domain of 6x+7/9x+2
Answer:
Domain of the function is (inf, -inf)
Step-by-step explanation:
I need help asap :&$/)
!!PLEASE HELP!! Stuck on this and need some help. !!40PTS!!
A basketball player made 2 out of 4 free throws she attempted which is 50%. She wants to know how many consecutive free throws more in a row she would have to make to raise her overall successful baskets divided by attempts or percent of successful free throws to 75%.
(c) Write an equation to represent this situation.
(d) Solve the equation. How many consecutive free throws would she have to make to raise her percent to 75%?
(e) Simplify the expression . Show your work.
Answer:
(2 + x)/(4 + x) = 3/44 more throwsStep-by-step explanation:
2 out of 4 throws:
2/4 = 50%Let x more throws is made to achieve 75%
Then the equation would be:
(2 + x)/(4 + x) = 75%(2 + x)/(4 + x) = 3/44(2 + x) = 3(4 + x)4x + 8 = 3x + 124x - 3x = 12 - 8x = 4In a race that consisted of three parts the cycling part was 12 1/2 miles long the running part of the race was won for the distance of the cycling parking asking part of the race was won half the distance of the running part what was the entire distance in miles of the raie
Complete question is;
In a race that consisted of three parts, the cycling part was 12 1/2 miles long. The running part of the race was 1/4 the distance of the cycling part. The kayaking part of the race was 1/2 the distance of the running part. What was the entire distance, in miles of the race?
Answer:
Total distance of race = 17.1875 miles
Step-by-step explanation:
The 3 parts of the race are; cycling, running and kayaking.
The cycling distance was; 12½ miles
We are told that the running part was ¼ of the cycling distance. Thus;
Running distance = ¼ x 12½ = ¼ x 25/2 = 25/8 miles
Lastly, we are told that the kayaking part was ½ the distance of the running part. Thus;
Kayaking distance = ½ x 25/8 = 25/16
Thus,total distance of race = cycling distance + running distance + kayaking distance = 12½ + 25/8 + 25/16 = 17.1875 miles
The current cost of gourmet coffee Is $14 per pound At the corner market the cost has increased 10% Per year over the past few years What did the coffee cost 2 years before ?
Answer:
$11.57
Step-by-step explanation:
Let's call the price of the coffee two years ago by X.
The price increased 10% per year (that is, the price is multiplied by 1+0.1=1.1) over two years, so the current price is:
X * 1.10 * 1.10 = X * 1.21
If the current price is $14, we have that:
X * 1.21 = 14
X = 14/1.21 = 11.57
The price of the coffee two years ago was $11.57
. A random sample of 80 jars of grape jelly has a mean weight of 568 g, with a standard deviation of 48.28 g. Construct a 99% confidence interval for , the true weight of a jar of jelly.
Answer:
The 99% confidence interval is (553.7523, 582.2477)
Step-by-step explanation:
The formula for the confidence interval is
[tex]CI=\bar{x}\pm z\frac{s}{\sqrt{n}}[/tex]
Where:
s = Standard deviation
z = t[tex]_{df}[/tex] since the population variance is unknown
df = Degrees of freedom
n = Sample count
Which gives
[tex]568 \pm t_{79}(0.05\%) \frac{48.28}{\sqrt{80} }[/tex]
= 568 [tex]\pm[/tex] 2.64×5.4
(553.7523, 582.2477)
That is there is a 99% chance that the mean weight of a jar of jelly is
553.75 < μ < 582.25.
What is the surface area of the cube below?
A. 147 units2
B. 508 units2
C. 254 units2
D. 294 units2
Answer:
The answer is D
Step-by-step explanation:
Surface Area is the outside part of a shape. Opposite of Volume
To find the area of one side its L x H
So 7 x 7 = 49
Since all the sides of the cube are the same you don't need to figure out the area of the other sides
so 49 x 6 sides = 294
Answer:
SA =294 units^2
Step-by-step explanation:
The surface area of a cube is found by the following
SA = 6 s^2 where s is the side length
SA = 6* 7^2
SA = 6*49
SA =294 units^2
Saul decides to use the IQR to measure the spread of the data. Saul calculates the IQR of the data set to be 27 .
Saul asks Jasmine to check his work. Saul copies the data in numerical order from least to greatest for Jasmine.
25,30,50,50,50,50,56,n,250
What is the value of n that will make the IQR of the data set equal to 27?
N equals 78
The equation: (56+n)/2 - 40=27
Add 40 to 27=67
Multiply everything by 2 leaving you with 56+n=134
Subtract 56 from 134
Leaves you with n=78
If you plug it in you would get 67-40, which equals 27
A train covers a distance of 70 4/5 km in 1 hour. How much distance will it cover in 3 3/4 hours?
Answer:
the distance travelled in 3 3/4 hours is 37/8 km
What is the equation of the line that passes through the point
(−5,1) and has a slope of -1/5
Answer:
i think it is x=5y
Step-by-step explanation:
Answer:
y - 1 = -1/5(x + 5)
y - 1 = -1/5x - 1
y = -1/5x
Step-by-step explanation:
You are planning to use PERT for planning of your project. A task has pessimistic estimate of 24 days, most likely estimate of 15 days and optimistic estimate of 12 days. What is the mean using the PERT technique?
a.18 days
b.25.5 days
c.15 days
d.16 days
Answer: d.16 days
Step-by-step explanation:
Hi, using PERT technique we can calculate the mean by applying the next formula:
Mean = (a + 4m + b)/6
Where:
a = optimistic time
m = most likely time
b = pessimistic time
Replacing with the values given:
Mean = (12 +4 (15) + 24)/6
Solving
m = (12+ 60+24)/6
m= 96/6
m = 16 days
Feel free to ask for more if needed or if you did not understand something.
Flaky pastry can be made using flour and fat in the ratio 4 : 3. Jake makes some flaky pastry using 90 grams of fat. What weight of flour does he use?
Answer:
He use 120 grams of flour.
Step-by-step explanation:
Given:
Flaky pastry can be made using flour and fat in the ratio 4 : 3. Jake makes some flaky pastry using 90 grams of fat.
Now, to find the weight of flour he use in making flaky pastry.
Let the weight of flour be [tex]x.[/tex]
Weight of fat = 90 grams.
The ratio of flour and fat used in making flaky pastry is 4 : 3.
As, 4 is equivalent to 3.
Thus, [tex]x[/tex] is equivalent to 90.
Now, to solve using cross multiplication method:
[tex]\frac{4}{3} =\frac{x}{90} \\\\By\ cross\ multiplying\ we\ get:\\\\360=3x\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\120=x\\\\x=120\ grams.[/tex]
Therefore, he use 120 grams of flour.
X/6.5=0.1820
What is x equal to
Answer:
X = 1.183
Step-by-step explanation:
X/6.5=0.1820
Multiply each side by 6.5
X/6.5 * 6.5=0.1820*6.5
X = 1.183
4) A light is on the top of a 12 ft tall pole and a 5 ft 6 in tall person is walking away from the pole at a rate of 2 ft/sec. a. At what rate is the tip of the shadow moving away from the pole when the person is 25 ft from the pole? b. At what rate is the tip of the shadow moving away from the person when the person is 25 ft from the pole?
Final answer:
The rate at which the tip of the shadow is moving away from the pole when the person is 25 ft from the pole is 0 ft/sec. The rate at which the tip of the shadow is moving away from the person when the person is 25 ft from the pole is 0 ft/sec.
Explanation:
To solve for the rates at which the tip of the shadow is moving away from the pole and from the person, we can use similar triangles and related rates. Let's solve each part step by step:
a. Rate the tip of the shadow is moving away from the pole:
We have a right triangle formed by the pole, the person, and the tip of the shadow. Let x be the distance between the person and the tip of the shadow.
Since the person is moving away from the pole at a rate of 2 ft/sec, dx/dt = 2 ft/sec.
Using the similar triangles, we have:
(12 ft + 5.5 ft) / x = 12 ft / (x + 25 ft)
Simplifying the equation gives:
17.5x + 437.5 = 12x + 300
5.5x = 137.5
x = 25 ft
Now, let's differentiate both sides of the equation with respect to time t:
17.5 (dx/dt) = 12 (dx/dt) + 0
17.5 (dx/dt) - 12 (dx/dt) = 0
5.5 (dx/dt) = 0
dx/dt = 0 ft/sec
So, the rate at which the tip of the shadow is moving away from the pole when the person is 25 ft from the pole is 0 ft/sec.
b. Rate the tip of the shadow is moving away from the person:
Using the similar triangles, we have:
(12 ft + 5.5 ft) / x = 5.5 ft / 25 ft
Simplifying the equation gives:
17.5x = 137.5
x = 7.857 ft
Now, let's differentiate both sides of the equation with respect to time t:
17.5 (dx/dt) = 5.5 (dx/dt) + d(7.857)/dt
12 (dx/dt) = d(7.857)/dt
dx/dt = (d(7.857)/dt) / 12
dx/dt = (0 ft/sec) / 12
So, the rate at which the tip of the shadow is moving away from the person when the person is 25 ft from the pole is 0 ft/sec.
DO YOU KNOW YOUR GOVERNMENT? According to a recent study by the Annenberg Foundation, only 36% of adults in the U.S. Could name all three branches of government. This was based on a survey given to a random sample of 1416 U.S. Adults.
Final answer:
A study by the Annenberg Foundation shows a stark lack of knowledge about the Legislative, Executive, and Judicial branches of the U.S. government. Educational resources can help improve public understanding of these branches, which are pivotal for civic engagement and democratic processes.
Explanation:
The Annenberg Foundation study highlights a concerning lack of knowledge among the U.S. adult population regarding the basic structure of their government. Despite the importance of understanding the three branches of the U.S. government, which include the Legislative, Executive, and Judicial branches, a majority of adults struggle to identify all three.
The Legislative branch is responsible for making laws and is embodied in Congress, which is divided into the House of Representatives and the Senate. The Executive branch, headed by the President, is tasked with implementing and executing the laws passed by Congress. The Judicial branch, represented by the Supreme Court and other federal courts, interprets the laws and adjudicates legal disputes under the law.
Understanding these branches and their functions is critical for civic engagement and informed participation in democratic processes. Educational resources such as videos, games, and government websites can help improve civic knowledge and awareness of the structure and roles of government.
Motor cortex and somatosensory cortex are _____.
A. organized in similar manner adjacent to each other, and are anatomically similar from one person to the next
B. dispersed along the ventral and dorsal, respectively
C. located on the left and right sides, respectively, of the cerebellum
D. located in the hypothalamus and hippocampus, respectively
E. located in the thalamus and hypothalamus, respectively
Answer: A) organized in similar manner adjacent to each other, and are anatomically similar from one person to the next.
The physical organization of the motor cortex and somatosensory cortex, which are located next to one another, is the same in every individual. Hence, Option A is correct.
What is the meaning of cortex?
The brain's cerebral cortex is located on the outside. It looks wrinkled because of the numerous folds on its surface. Numerous deep grooves, or sulci, and elevated regions, or gyri, make up the folds.
These folds increase the surface area of the cerebral cortex, which enables more nerve cells to handle significant amounts of information. A nerve cell's dendrites are the area where a chemical communication from another cell is received. The mass of the brain is roughly divided in half by the cerebral cortex.
There are between 14 billion and 16 billion nerve cells in each of the six layers that make up the cerebral cortex. The brain's gray matter, which is located in the outer layer, is made up of nerve cell bodies, including dendrites, the end of nerves.
Therefore, Option A is correct.
Learn more about cortex from here:
https://brainly.com/question/12993641
#SPJ2
For a regular 36-gon, what is the sum of measure of each interior angle?
Answer:
170°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2)
Here n = 36, thus
sum = 180° × 34 = 6120°
The size of each interior angle = [tex]\frac{6120}{36}[/tex] = 170°
Final answer:
The sum of the measures of each interior angle of a regular 36-gon is 6120 degrees.
Explanation:
For a regular 36-gon, or a polygon with 36 sides, we can calculate the sum of the measures of the interior angles using the formula ((n - 2) × 180°), where n is the number of sides. So for a regular 36-gon:
((36 - 2) × 180°) = (34 × 180°) = 6120°.
Therefore, the sum of the measures of each interior angle of a regular 36-gon is 6120 degrees.
An aquarium has exhibits that feature different marine animals. 5/8 of the staff are male. 5/12 of the staff works part time at the aquarium. What fraction of the staff is female?
Answer:
The fraction of the staff is female is [tex]\frac{3}{8}[/tex]Step-by-step explanation:
Given that an aquarium has exhibits that feature different marine animals.
Also given that [tex]\frac{5}{8}[/tex] of the staff are male.
[tex]\frac{5}{12}[/tex] of the staff works part time at the aquarium
To find the fraction of the staff is female:Let the entire staff is represented by the fraction [tex]\frac{8}{8}[/tex].
The fraction of the staff is female is given by[tex]\frac{8}{8}-\frac{5}{8}[/tex]
[tex]=\frac{8-5}{8}[/tex]
[tex]=\frac{3}{8}[/tex]
∴ The fraction of the staff is female is [tex]\frac{3}{8}[/tex]A driver is currently at an elevation of -350 feet write an absolute value statement to express the drivers distance in feet from sea level then interpret the results written the context of the situation
Answer:
[tex]d = |h - 0\,ft|[/tex], The driver is 350 feet below sea level.
Step-by-step explanation:
The distance of the driver from the sea level is given by the following expression:
[tex]d = |h - 0\,ft|[/tex]
[tex]d = |-350\,ft-0\,ft|[/tex]
[tex]d = |-350\,ft|[/tex]
[tex]d = 350 \,ft[/tex]
The driver is 350 feet below sea level.
Answer:
Driver is 350 Below sea Level
Step-by-step explanation:
Driver has Elevation of -350 meters, negative indicates below sea level.
Therefore it can be inferred that the driver is 350 below sea level.
The coastline of Canada stretches about 202 080 km. The British Columbia portion of the coastline is about 2/15 of the total coastline of Canada. How long is the coastline of British Columbia?
Given Information:
Coastline of Canada = 202080 km
Coastline of British Columbia = 2/15 of Coastline of Canada
Required Information:
How long is the coastline of British Columbia = ?
Answer:
Coastline of British Columbia is 26944 km long
Step-by-step explanation:
We are given the length of Coastline of Canada that is 202080 km
We also know that Coastline of British Columbia is 2/15 of the Coastline of Canada.
So,
Coastline of British Columbia = (2/15)*202080
Coastline of British Columbia = 26944 km
Therefore, the Coastline of British Columbia is about 26944 km.
f(t) = t^2 - 5t; Find f(-8)
Answer:
f(-8) = 104
Step-by-step explanation:
f(t) = t^2 - 5t
Let t=-8
f(-8) = (-8)^2 -5(-8)
= 64 +40
= 104
Pls mark Brainliest.
Answer:
f(-8) = 104
Step-by-step explanation:
f(-8) = (-8)^2 - 5(-8)
f(-8) = 64 + 40
f(-8) = 104
How many faces dose a triangular prisim have?
Answer:
the answer is 5
Step-by-step explanation:
YW
Answer:
There are 5 faces in a triangular prism
I hope this help. If I'm wrong/made any mistakes please let me know so that I can learn from it!