Answer:
Legon fo)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Dataset 1 (in increasing order)
{1, 4, x, 8}
Dataset 2 (in increasing order)
{2, 5, y, 9}
Median of dataset 1
[4 + x] / [2]
Median of dataset 2
[5 + y] / [2]
since the medians of the two given sets of data are the same,
=> [4 + x] / [2] = [5 + y] / [2]
=> 2(5 + y) = 2(4 + x)
=> 10 + 2y = 8 + 2x
=> 2y - 2x = 8 - 10
=> 2y - 2x = - 2
=> 2(y - x) = - 2
=> [2(y - x)] / [2] = [- 2] / [2]
denominators and numerators cancel out
=> (y - x) = - 1
Therefore, (y - x) ² = (-1)²
=> (y - x) ² = 1
Answer asap
Which data set is the most spread from its mean?
14, 26, 24, 28
22, 16, 18, 35
22, 28, 20, 22
21, 19, 27,25
What’s the correct answer for this?
Answer:
i think it's B
Step-by-step explanation:
hope this helps
Answer:
B
Step-by-step explanation:
A median cuts a triangle into half (2:1) so the triangle is divided into two equal parts.
a roll of dimes is 5. if the diameter of a dime is 18 millimeters and the height of each dime is 1.4 millimeters, what is the approximate volume of the roll of dimes?
Answer:
17.8 cm³
Step-by-step explanation:
The radius of the roll is half the diameter, so is 9 mm. The length of the roll of 50 dimes is 1.4·50 mm = 70 mm. With these dimensions, we can use the formula for the volume of a cylinder:
V = πr²h = π(9 mm)²(70 mm) = 5670π mm³ ≈ 17,812.8 mm³
Perhaps a more convenient unit of measure is cm³. Each cm³ is 1000 mm³, so the volume of a roll of dimes is approximately ...
V ≈ 17.8 cm³
Write eight and fifteen hundredths in decimal notation
Answer:
8.15
Step-by-step explanation:
Answer:
0.08, 0.15
Step-by-step explanation:
This object is made with five identical cubes. each cube edge if 4 centimeters long, What is the surface area of this object in square centimeters.
Answer:
480 cm ^ 2
Step-by-step explanation:
To calculate the surface area of the figure, we must calculate the surface area of the cube, we know that they are identical, therefore, calculating the area of one is sufficient.
We have that the surface area of a cube is:
A = 6 * a ^ 2
where a is the edge, we know that if it is a cube all its sides are equal, in this case it is 4 centimeters, if we replace we have:
A = 6 * (4 ^ 2)
A = 96
96 square centimeters is the area of a cube, but since the area of the object would be the sum of the area of all the cubes, then:
AT = 96 * 5
AT = 480 cm ^ 2
The surface area of the object formed with the cubes is 480 cm ^ 2
Jacob rolls a number cube numbered 1 to 6. What is the likelihood Jacob rolls a number less than 7?
if a sample of 57 swimmers is taken from a population of 135 swimmers, the population mean is the mean of how many swimmers' times?
Answer:
135
Step-by-step explanation:
A P E X
Sandy does babysitting in her spare time. She gets $100 advance pay and $10 per hour for babysitting. She wants to earn enough to buy a new Iphone for $450. How many hours she needs to babysit to earn enough money to buy the Iphone?
Answer: 35 hours
Step-by-step explanation: 450-100 because of the advanced pay, then you dived 350 by ten so you get 35 hours
Answer:
Sandy needs to babysit for 35 hours to earn enough money to buy an Iphone.
Explanation:
Sandy gets $100 advance pay and $10 per hour for babysitting.
Let x denotes the number of hours then
10x + 100
Sandy wants to buy an Iphone for $450
10x + 100 = 450
Solving the above equation
10x = 450 - 100
10x = 350
x = 350/10
x = 35 hours
Therefore, Sandy needs to babysit for 35 hours to earn enough money to buy an Iphone.
ice, as long as it stays in its frozen form, will not lose its shape or its volume. Why?
solid form
Step-by-step explanation:
it will not loose shape because it is in solid form
Answer:
It freezes it self in the solid state
Step-by-step explanation:
A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the edge of the wheel?
In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.
The wheel has radius 1 ft, so its circumference is 2π (1 ft) = 2π ft.
Then the point has a linear speed of
(1/4 rev/s) * (2π ft/rev) = 2π/4 ft/s = π/2 ft/s
The linear velocity of a point on the edge of the wheel is π/2 feet per second.
In this case, the wheel has a radius of 1 foot and makes 1 revolution in 4 seconds.
The circumference of a circle is given by the formula
C = 2πr, where r is the radius of the circle.
So, the circumference of the wheel is 2π(1) = 2π feet.
Now, the linear velocity of the point on the edge of the wheel is the distance traveled (circumference) divided by the time taken, which is:
Linear velocity = Circumference / Time = 2π feet / 4 seconds
Linear velocity = π/2 feet per second
So, the linear velocity of a point on the edge of the wheel is π/2 feet per second.
Learn more about Circumference of circle here:
https://brainly.com/question/17130827
#SPJ2
A family has a phone plan that includes 4 GB of data per month. 10 days into the 30 day month the family has used 1 GB. At that rate how many GB will the family use for the entire month
Answer: The family uses 3 Gb in the entire month.
Step-by-step explanation:
A month has 30 days.
If in 10 days the family uses 1Gb, then in each day the family uses:
R = 1Gb/10 days = 0.1 Gb per day.
Then in 30 days the family uses:
30days*0.1 Gb er day = 3 Gb
The family uses 3 Gb in the entire month.
What’s the correct answer for this?
Answer:
A.
Step-by-step explanation:
We would reflect the point P so that another point would be made of the same length from the line.
Prendendo come esempio la porta disegnata da un tuo compagno, dimmi quanta vernice ti serve per dare due mani alla porta.
Sapendo che un barattolo contiene 0,75 litri di vernice e che si verniciano circa 9mq, quante porte come quella nel disegno riesci a verniciare?
Answer:
english please
Step-by-step explanation:
Answer:
English plz
Step-by-step explanation:
expand and simplify (2x-1)(x-3)
Answer:
Expand the polynomial using the FOIL method.
2 x 2 − 7 x + 3
Step-by-step explanation:
A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.
An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.The quantities xxx and yyy are proportional.
xxx yyy
777 353535
121212 606060
202020 100100100
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
Answer:
5
Step-by-step explanation:
Solving the given equation for r, we get ...
y = rx
y/x = r
Then we can find r from any pair in the table:
r = 35/7 = 5
The constant of proportionality is 5.
Answer:
y=3
Step-by-step explanation:
i did it in khan academy :)
Belinay is making garlands of popcorn kernels and berries to feed the wildlife. The diagram shows the ratio of popcorn kernels to berries Belinay uses on the garlands.The table shows the numbers of kernels and berries on two of Belinay's garlands. Based on the ratio, complete the missing values in the table.
Answer:
20 kernels
21 Berries
Step-by-step explanation:
Belinay is making garlands of popcorn kernels and berries to feed the wildlife. The diagram shows the ratio of popcorn kernels to berries Belinay uses on the garlands
Kernels 4
Berries 3
Kernerls : Berries :: 4 : 3
in Garland A - Berries = 15
if berries = 3 then Kernel = 4
=> if berries = 1 then Kernel = 4/3
=> if berries = 15 then Kernel = 15 * 4/3 = 20
Kernels in Garland A = 20
in Garland B - Kernel = 28
if Kernel = 4 Then Berries = 3
=> if Kernel = 1 Then Berries = 3/4
=> if Kernel = 28 Then Berries = 18 * 3/4 = 21
Beriies in Garland B = 21
Garland Kernels Berries
A 20 15
B 28 21
Answer:
Garland Kernels Berries
A 20 15
B 28 21
Step-by-step explanation:
What is the solution to the equation StartFraction m Over m + 4 EndFraction + StartFraction 4 Over 4 minus m EndFraction = StartFraction m squared Over m squared minus 16 EndFraction?
Answer: m = -2.
The given equation is: [tex]\frac{m}{m+4}+\frac{4}{4-m}=\frac{m^{2}}{m^{2}-16}[/tex].
The LCM of the denominators = [tex]m^{2}-16=(m+4)(m-4)[/tex].
We multiply both sides by LCM.
[tex]\left(m+4\right)\left(m-4\right)\left(\frac{m}{m+4}+\frac{4}{4-m}\right)=\left(m+4\right)\left(m-4\right)\cdot\frac{m^{2}}{m^{2}-16}[/tex]
[tex]m\left(m-4\right)-4\left(m+4\right)=m^{2}[/tex]
[tex]m^{2}-4m-4m-16=m^{2}[/tex]
[tex]8m=-16\\m=-2[/tex]
Learn more: https://brainly.com/question/13769924
Answer:
M=-2 B
Step-by-step explanation:
trust me i took the quiz
what is the equation of the line in slope-intercept form?
Answer:
y = 5x
Step-by-step explanation:
Slope intercept form is y = mx + b
m is the slope
m = 5 on this graph
b is the y intercept which is 0 on this graph
According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones, etc.) in back-to-college spending per student. Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54. If a family of a returning college student is randomly selected, what is the probability that: (a) They spend less than $150 on back-to-college electronics? (b) They spend more than $390 on back-to-college electronics? (c) They spend between $120 and $175 on back-to-college electronics?
Answer:
(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is 0.0537.
(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is 0.0023.
(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is 0.1101.
Step-by-step explanation:
We are given that according to an NRF survey conducted by BIG research, the average family spends about $237 on electronics in back-to-college spending per student.
Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54.
Let X = back-to-college family spending on electronics
SO, X ~ Normal([tex]\mu=237,\sigma^{2} =54^{2}[/tex])
The z score probability distribution for normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean family spending = $237
[tex]\sigma[/tex] = standard deviation = $54
(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is = P(X < $150)
P(X < $150) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{150-237}{54}[/tex] ) = P(Z < -1.61) = 1 - P(Z [tex]\leq[/tex] 1.61)
= 1 - 0.9463 = 0.0537
The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9463.
(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is = P(X > $390)
P(X > $390) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{390-237}{54}[/tex] ) = P(Z > 2.83) = 1 - P(Z [tex]\leq[/tex] 2.83)
= 1 - 0.9977 = 0.0023
The above probability is calculated by looking at the value of x = 2.83 in the z table which has an area of 0.9977.
(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is given by = P($120 < X < $175)
P($120 < X < $175) = P(X < $175) - P(X [tex]\leq[/tex] $120)
P(X < $175) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{175-237}{54}[/tex] ) = P(Z < -1.15) = 1 - P(Z [tex]\leq[/tex] 1.15)
= 1 - 0.8749 = 0.1251
P(X < $120) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{120-237}{54}[/tex] ) = P(Z < -2.17) = 1 - P(Z [tex]\leq[/tex] 2.17)
= 1 - 0.9850 = 0.015
The above probability is calculated by looking at the value of x = 1.15 and x = 2.17 in the z table which has an area of 0.8749 and 0.9850 respectively.
Therefore, P($120 < X < $175) = 0.1251 - 0.015 = 0.1101
Please help with this ........
Your answer is that all angles are equal to 66.
Angle 3 and angle 7 are equal, which we know because corresponding angles are equal (angles that make an ‘F’ shape).
This means we can form an equation because we know what angle 3 and angle 7 are:
2x + 40 = 3x + 27
- 2x
40 = x + 27
- 27
13 = x
Therefore angle 7 is 3(13) + 27 = 66, and so is angle 3.
We also know that angle 5 is equal to 66, because it is vertically opposite to angle 7 and vertically opposite angles are equal.
I hope this helps!
A large trucking company wants to estimate the proportion of its tracker truck population with refrigerated carrier capacity. A random sample of 200 tracker trucks is taken and 30% of the sample have refrigerated carrier capacity. The 95% confidence interval to estimate the population proportion is _______.
Answer:
The 95% confidence interval to estimate the population proportion is (0.2365, 0.3635).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 200, \pi = 0.3[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3 - 1.96\sqrt{\frac{0.3*0.7}{200}} = 0.2365[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3 + 1.96\sqrt{\frac{0.3*0.7}{200}} = 0.3635[/tex]
The 95% confidence interval to estimate the population proportion is (0.2365, 0.3635).
Help! Best/Correct answer = Brainiest.
Answer:
Step-by-step explanation:
looking at the graph,
when x = 3, y = -10
-10 = 2(3)^2 + 3b + 8
-10 = 18 + 3b + 8
-10 = 26 + 3b
3b = -36
b = -36/3
b = -12
Which rectangular prism will have the largest volume
Answer:
You need to attach a picture or something.
Answer:
8
Step-by-step explanation:
A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after 10 years?
a.) 74.3 feet
b.) 120 feet
c.) 144 feet
d.) 146.3 feet
Answer:
Option A; 74.3 feet
Step-by-step explanation:
~ Here we can see that this problem is set to be so that compound interest is applied ~
1. If compound interest is to be applied, it would be that the "20 percent" is the interest, the principle number ( start value ) ⇒ 12 feet in height, and the time is 10 years.
2. Let us approach this problem step by step. Instead of substiting values into a compound interest formula, let us simply attempt a variation of that process...
3. 20 percent is, in a decimal form, ⇒ 0.2
4. Now add 1 to this value 0.2, to get ⇒ 1.2
5. If we were to consider the formula, 1.2 would first be exponentially multiplied by itself 10 time, considering that it is to the power of 10 years. In other words ⇒ 1.2^10 = 6.191736422..........
6. Now let us multiply this infinite value 6.19...... by the principle quantity 12 feet ⇒ 6.191736422.......... * 12 = (About) 74.30083707.......
7. If we were to round this value, it would be to ⇒ 74.3 feet, or in other words the first option; Option A
heeeeeeeeeeeeeeellllllllllllllllllllpppppppppp
Answer:
Keep the circle closed like it is and draw an incresing line (towards the positive numbers)(basically towards the right) with the arrow at the end of it
Step-by-step explanation:
if a cube measures 5.3 cm on each side and has a mass of 280 grams how much is its volume
Answer:
8.1 g/cm
Step-by-step explanation:
Identify two Pythagorean triples using the known triple 9, 40 , 41. *
Your answer
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {9}^{2} + {40}^{2} = {41}^{2} \\ 81 + 1600 = 1681 \\ 1681 = 1681[/tex]
What is the classification for this polynomial?
11
Answer: trinomial
Step-by-step explanation:
i answered it
What error did Mr. Sanders likely make, and what is the actual fraction of students who have
completed 12 or more paintings? Use the drop-down menus to explain his reasoning and correct
his mistake.
Mr. Sanders likely found that of the students have completed 12 or more paintings because
there are Choose... bars on the histogram, and Choose... of the bars represent
students with 12 or more completed paintings. The actual fraction of the students who have
completed 12 or more paintings is Choose...
Answer: (1st box) = 6 (2nd box) = 2 (3rd box) = 2/3
Step-by-step explanation:
Answer:
(1st box) = 6
(2nd box) = 2
(3rd box) = 2/3
Step-by-step explanation:
I got a big brain
Bob and Cheryl are taking a road trip that is 188.20 miles. Bob drove 1/4 of the total distance. How many miles did Bob drive
Answer:47.05 miles
Step-by-step explanation:
Divide 188.20 by 4 be careful of where you put the decimal point. It is also possible to multiply 188.20 by .25 and get the same answer.
