Answer:
20%
Step-by-step explanation:
1.6:8*100 =
(1.6*100):8 =
160:8 = 20
Now we have: 1.6 is what percent of 8 = 20
Question: 1.6 is what percent of 8?
Percentage solution with steps:
Step 1: We make the assumption that 8 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=8$.
Step 4: In the same vein, $x\%=1.6$.
Step 5: This gives us a pair of simple equations:
$100\%=8(1)$.
$x\%=1.6(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
{100\%}{x}={8}{1.6}
Step 7: Taking the inverse (or reciprocal) of both sides yields
{100\%}={1.6}{8}
x=20
Therefore, $1.6$ is $20 of $8$.
what is the term used to describe the range of the middle half of the data set
Answer:
Interquartile Range
Step-by-step explanation:
In a box-and-whisker plot, the interquartile range is a measure of the spread of the middle half of the data.
Answer:
Median
Step-by-step explanation:
Median is the middle number in a data set, or the middle value in a list of numbers.
I tried.
The ratio of wins to losses is 54 for a sports team If the team played 90 games,
how many games did the team win?
Answer:
40
Step-by-step explanation:
An experiment involves selecting a random sample of 256 middle managers for study. One item of interest is their annual income. The sample mean is computed to be $35,420. If the population standard deviation is $2,050, what is the standard error of the mean
Answer:
SE=$128.13
Step-by-step explanation:
-Given the sample mean is $34,250 and standard deviation is $2,050 with n=256:
-Standard error is calculated using the formula:
[tex]SE=\frac{s}{\sqrt{n}}[/tex]
Where s is the sample standard deviation.
#We substitute our values to solve for SE:
[tex]SE=\frac{s}{\sqrt{n}}\\\\=\frac{2050}{\sqrt{256}}\\\\=128.125\approx128.13[/tex]
Hence, the standard error is $128.13
|a+x|/2 − |a−x|/2 , if a=−2; x=−6
PLZ HELP!!!
Answer:
2
Step-by-step explanation:
|a+x|/2 − |a−x|/2 , if a=−2; x=−6
Evaluate this expression
Simply plug in the numbers
| -2 + -6 | /2 - |-2 - -6|/2
|-8| /2 - |4|/2
4 - 2
2
Answer:
2
Step-by-step explanation:
So you're dealing with absolute value which means that whatever is inside these symbols | | will be positive after all the calculations inside are done.
Plug in your values
|(-2) + (-6)|/2
-2 - 6 = -8
absolute value of -8 is 8
8/2 = 4
First part is 4
|(-2) - (-6)|/2
-2 + 6 = 4
4/2 = 2
Second part is 2
Put the two values back into your original equation
4-2 = 2
Diane made a design using only squares she shaded the inner square and outer region find the total area that is shaded explain how you found your answer
The total shaded area is four times the area of the inner shaded square. If the side length of the inner square is [tex]\(a\) units, the total shaded area is \(4a^2\)[/tex]square units. This is derived by adding the area of the inner square to the outer shaded region's area.
To find the total area shaded, we need to calculate the combined area of the inner shaded square and the outer shaded region.
Let's denote the side length of the inner square as a units and the side length of the outer square as b units. Since the design consists only of squares, the outer square will have sides twice as long as the inner square, so [tex]\(b = 2a\).[/tex]
The area of the inner shaded square is [tex]\(a^2\)[/tex] square units, and the area of the outer shaded region is the difference between the area of the outer square and the area of the inner square, which is[tex]\(b^2 - a^2\).[/tex]
Substituting [tex]\(b = 2a\), we get the area of the outer shaded region as \((2a)^2 - a^2 = 4a^2 - a^2 = 3a^2\)[/tex] square units.
Therefore, the total shaded area is the sum of the area of the inner square and the area of the outer shaded region: [tex]\(a^2 + 3a^2 = 4a^2\).[/tex]
So, the total area shaded is [tex]\(4a^2\) square units, where \(a\)[/tex] is the side length of the inner shaded square.
complete question
Diane made a design using only squares she shaded the inner square and outer region find the total area that is shaded explain how you found your answer.
an element is made up of
Suppose a city with population 300 comma 000 has been growing at a rate of 3% per year. If this rate continues, find the population of this city in 13 years.
Answer:
The population of this city in 13 years is 440,550.
Step-by-step explanation:
Given:
Suppose a city with population 300, 000 has been growing at a rate of 3% per year.
Now, to find the population of this city in 13 years.
Let the population of this city in 13 years be [tex]A.[/tex]
Population ([tex]P[/tex]) = 300,000.
Rate per year ([tex]r[/tex]) = 3%.
Time ([tex]t[/tex]) = 13 years.
Now, we put formula to get the population of the city in 13 years:
[tex]A=P(1+r)^t\\\\A=300,000(1+3\%)^{13}\\\\A=300,000(1+0.03)^{13}\\\\A=300,000(1.03)^{13}\\\\A=300,000\times 1.4685\\\\A=440,550.[/tex]
Therefore, the population of this city in 13 years is 440,550.
Daniels print shop purchases a new printer for $35000. Each year it depreciates at a rate by 5%. Use an exponential function to find its approximate value after 8 years
Answer:
The value of printer will $23,219.72 after 8 years.
Step-by-step explanation:
Given that, Daniels print shop purchases a new printer for $35,000.
Each year it depreciates at a rate 5%.
Exponential function:
[tex]P(t)=P_0(1-r)^t[/tex]
P(t)= Price of printer after t years
[tex]P_0[/tex]= Initial price of printer
r= rate of depreciate.
t=Time
Here, [tex]P_0[/tex] = $35,000,r=5%=0.05, t=8 years
[tex]P(8)= 35000(1-0.05)^8[/tex]
=$23,219.72
The value of printer will $23,219.72 after 8 years.
The exponential equation is solved and the cost of printer is A = $ 23219.71
Given data:
To find the approximate value of the printer after 8 years, considering a depreciation rate of 5% per year, we can use the formula for exponential decay:
V = P * (1 - r)^t
Where:
V = Value after t years
P = Initial value (purchase price)
r = Depreciation rate (as a decimal)
t = Number of years
In this case, the initial value (P) is $35,000, the depreciation rate (r) is 5% or 0.05, and the number of years (t) is 8.
Plugging in these values into the formula:
V = 35,000 * (1 - 0.05)⁸
V = 35,000 * (0.95)⁸
On simplifying the equation , we get
V ≈ 35,000 * 0.6634
V ≈ $ 23219.71
Hence, the approximate value of the printer after 8 years, considering a 5% depreciation rate per year, is $ 23219.71
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fill in the blanks to make the following rational number is equivalent 3/4=__ /24
Step-by-step explanation:
let the blank be x
[tex] \frac{3}{4} = \frac{x}{24} [/tex]
[tex]x = \frac{24 \times 3}{4} = 6 \times 3 = 18[/tex]
therefore,
[tex] \frac{3}{4} = \frac{18}{24} [/tex]
Answer:
The answer can be 18/24
Step-by-step explanation:
Divide 18/24 by 6
You get 3/4
Then you divide to get 0.75
What is the distance between (8,1) and (9,1)?
Answer:
1
Step-by-step explanation:
9-8=1
since it is on the same y coordinate it doesn't move much
EMERGENCY!!! What is the volume of the following rectangular prism
Answer:
42
Step-by-step explanation:
have a wonderful day
Answer:
42
Step-by-step explanation:
To find the area of a rectangular prism, you do height*width*base.
5 1/4 also known as 5.25 is the area of the width and hieght multiplied together. So then we would just multiply 5.25 by the base (8) to get 42.
The base area of a triangular pyramid is 22 square yards and the height of the pyramid is 15 yards. What is the volume of the triangular pyramid?
V = 1
3
Bh
Answer:
110 yd cubed
Step-by-step explanation:
The volume of a triangular pyramid is denoted by: [tex]V=\frac{1}{3} Bh[/tex] , where B is the base area and h is the height. We already know here that B = 22 and h = 15, so we can just plug in these values:
[tex]V=\frac{1}{3} *22*15=110[/tex]
Thus, the volume is 110 yards cubed.
Hope this helps!
Answer:
330
Step-by-step explanation:
Because the formula for volume is Base time height (BH) so the base was 22 and the height was 15 so you just multiply them
PLEASE HELP ME WILL GIVE 20 POINTS The growth of two varieties of plant after 20 days is shown. Construct a back-to-back stem and leaf plot for the data.
Variety 1
20 12 39 38 41 43 51 52
59 55 32 23 43
Variety 2
18 45 62 59 53 25 13 57
45 41 50 36 62
Answer:
2 | 1 | 3 8
3 0 | 2 | 5
9 8 2 | 3 | 6
3 3 1 | 4 | 1 5 5
9 5 2 1 | 5 | 0 3 7 9
| 6 | 2 2
Step-by-step explanation:
On Monday, Mr. Roberts drove 42 miles. On Tuesday, he drove 5 miles more than half the distance he drove on Monday. Which expression shows how you could find the distance, in miles, Mr. Roberts drove on Tuesday? A.(42-5)*2 B. 42-(5*2) C. (42/2)-5 D.(42/2)+5
Answer:
D
Step-by-step explanation:
If it is half the distance, it would be divided by 2. plus 5 miles more would be added after the division.
A researcher believes that headaches can be relieved by drinking water flavored by
mint leaves. So the researcher asks a group at the hospital to participate in a study
in which the researcher gives half of the participants in the study just plain water and
half the water flavored by mint leaves to compare the two groups.
A.Experimental Study
B.Observational Study
C.Simulation Study
Answer: A. Experimental Study
A rotating light is located 20 feet from a wall. The light completes one rotation every 3 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's angle is 10 degrees from perpendicular to the wall.
Answer:
43.17 ft/s
Step-by-step explanation:
Let the height of the wall is y.
distance of wall from light is 20 feet.
[tex]tan\theta =\frac{y}{20}[/tex]
y = 20 tanθ .... (1)
time period, T = 3 second
[tex]\frac{d\theta}{dt}=\frac{2\pi}{3}[/tex]
Differentiate equation (1) with respect to t.
[tex]\frac{dy}{dt}=20sec^{2}\theta\times \frac{d\theta}{dt}[/tex]
[tex]\frac{dy}{dt}=20sec^{2}10\times \frac{2\pi}{3}[/tex]
dy/dt = 20 x 2.16
dy/dt = 43.17 ft/s
What is the complete factorization of 12x^2+36x+27
Answer:
Those numbers are factored to
3(2x+3)2 <-------- the last 2 is squared
Answer:
Have a great rest of your day ;)
Step-by-step explanation:
In a group of 65 students when you have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this group at random either has blue or brown eyes
Answer:
The probability that a student pick from this group at random either has blue or brown eyes is
P = 40/65 = 0.6154
P = 61.54%
Corrected question;
In a group of 65 students 10 have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this group at random either has blue or brown eyes
Step-by-step explanation:
Given;
Total number of students = 65
Number of students with either blue or brown eyes;
= 10+30 = 40
The probability that a student pick from this group at random either has blue or brown eyes is
P = 40/65 = 0.6154
P = 61.54%
Probability is the likelihood of an event happening. In this case, the probability of picking a student with blue or brown eyes is 19/13.
Probability is the likelihood of an event happening, calculated by dividing the number of favorable outcomes by the total number of outcomes.
In this case, the total number of students is 65. The probability of picking a student with brown eyes is 65/65 = 1, and the probability of picking a student with blue eyes is 30/65. To find the probability of picking a student with either blue or brown eyes, you add the probabilities, getting 1 + 30/65 = 95/65, which simplifies to 19/13.
Average speed 5 km/h traveled at average speed of 60 km/h. What is the total distance from home to school is 35 kilometers and it took entire trip 1.5 hours
Answer:
He spent 5km walking and 30km on the bus
Step-by-step explanation:
This is the complete question;
Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours.
How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?
solution;
In this question, we have a student who journeyed by walking and also by using a bus, we are asked to calculate the number of kilometers traveled using both means.
We proceed as follows;
Firstly, let’s represent the number of kilometers he walked by x and the number of kilometers he traveled on the bus by y.
Mathematically;
x + y = 35 ••••••••••(i)
Now we know that total distance is 60km at a time of 1.5hours.
Total time = total distance/total time
Time taken to walk = x/5
Time used on the bus = y/60
Adding both will give the total time of 1.5 hours
x/5 + y/60 = 1.5
12x + y = 90 •••••••••(ii)
let’s subtract i from ii
11x =55
x = 55/11 = 5km
Recall x + y = 35
y = 35-5
y = 30km
A survey finds customers are charged incorrectly for 4 out of every 10 items. suppose a customer purchases 11 items. find the probability that the customer is charged incorrectly on at least 3 items. the probability that the customer is charged incorrectly on at least 3 items is nothing
Answer:
The probability that the customer is charged incorrectly on at least 3 items is 88.11%
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they are charged correctly, or they are not. The probability of an item being charged incorrectly is independent of other items. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A survey finds customers are charged incorrectly for 4 out of every 10 items.
This means that [tex]p = \frac{4}{10} = 0.4[/tex]
Suppose a customer purchases 11 items.
This means that [tex]n = 11[/tex]
Find the probability that the customer is charged incorrectly on at least 3 items.
Either he is charged incorrectly on less than 3 items, or at least 3. The sum of the probabilities of these events is decimal 1. So
[tex]P(X < 3) + P(X \geq 3) = 1[/tex]
We want [tex]P(X \geq 3)[/tex]. So
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{11,0}.(0.4)^{0}.(0.6)^{11} = 0.0036[/tex]
[tex]P(X = 1) = C_{11,1}.(0.4)^{1}.(0.6)^{10} = 0.0266[/tex]
[tex]P(X = 2) = C_{11,2}.(0.4)^{2}.(0.6)^{9} = 0.0887[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0036 + 0.0266 + 0.0887 = 0.1189[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.1189 = 0.8811[/tex]
88.11% probability that the customer is charged incorrectly on at least 3 items
Final answer:
To determine the probability that a customer is charged incorrectly on at least three items out of 11, we use the binomial probability formula, summing up probabilities from 3 to 11 incorrect charges.
Explanation:
Probability of Being Charged Incorrectly on At Least 3 Items
To solve the problem of finding the probability that a customer is charged incorrectly on at least three items when they purchase 11 items, we use the binomial probability formula. Given that the probability of being charged incorrectly for one item is 0.4 (4 out of 10), we denote this as p=0.4. The probability of being charged correctly is q=1-p=0.6. The total number of items, n, is 11.
The binomial probability P(X ≥ k) for at least k successes out of n trials is calculated by summing up the probabilities of having k, k+1,..., n successes.
To find P(X ≥ 3) we calculate:
P(X=3) where X represents the number of items charged incorrectlyContinue similarly to find P(X=4), P(X=5), ..., P(X=11)Sum these probabilities to get P(X ≥ 3)This calculation involves using the binomial formula which is:
P(X=k) = C(n,k) × p^k × q^(n-k)
Where C(n,k) is the combination of n items taken k at a time.
Once each individual probability is calculated, add them up to find the total probability of being charged incorrectly on at least 3 items. Remember, it is not possible to have a probability greater than 1, as this would imply certainty beyond the maximum possible (100%).
I wanna know: [3,5]={3,4,5}? Why?
Answer:
Yes if [3,5] is a set of integers then it contains elements 3,4,5
As Closed bracket denotes that extreme points are also included and 4 is mid element in between 3 and 5
What is the image of (6,−3) after a dilation by a scale factor of 1/3 centered at the origin?
Answer:
(2,-1)
Step-by-step explanation:
Multiply everything by 1/3:
6*1/3=2
-3*1/3=-1
This makes it smaller, so you know what the dilation is.
Answer:
first person is correct
Step-by-step explanation:
A baker is attempting to construct the world's largest cake. The cake is 12 meters square and 4 meters tall. How much surface area will the cake need to be iced (including the bottom)?
Answer:
The area of the surface that needs to be iced is 480 m².
Step-by-step explanation:
A cake has the same shape as a rectangular prism. A rectangular prism has six faces. The first one is formed by the length and the width, the second is formed by the length and the height and the third is formed by the width and the height, each of these faces is mirrored, so the surface area for the cake is:
surface area = 2*width*height + 2*width*length + 2*length*height
surface area = 2*12*4 + 2*12*12 + 2*12*4
surface area = 96 + 288 + 96 = 480 m²
The area of the surface that needs to be iced is 480 m².
Answer:
480 m².
Step-by-step explanation:
A cake will be similar to rectangular prism i.e a solid (3-dimensional) object which has six faces that are rectangle.
Finding surface area for all rectangular prisms involves both addition and multiplication. so the surface area for the cake is given by:
surface area = 2(widthxheight) + 2(widthxlength) + 2(lengthxheight)
surface area = 2(12 x 4) + 2(12 x 12) + 2(12 x 4)
surface area = 96 + 288 + 96 = 480 m²
Therefore, the cake will need the surface area of 480 m² to be iced.
Do most students walk, bike, or bus to school?
Most students to school.
If 100 students were surveyed, how many students
walk to school each day?
students
Answer:
Most students ride the bus since the pie chart section is biggest at the bus section.
23 people walking / 100 people is 23% and 23% of 100 is 23 people.
Step-by-step explanation:
Answer:
Do most students walk, bike, or bus to school?
Most students
✔ bus to school.
If 100 students were surveyed, how many students walk to school each day?
✔ 23 students
Step-by-step explanation: I just did it, it's 100% correct!
How many triangles do you see? If you get it right, you get brainliest!
Answer:
27 triangles
Step-by-step explanation:
triangle given by [tex]\frac{n(n+2)(2n+1)}{8}[/tex], where n is the amount of triangles on the base
4(6)(9)/8 = 216/8 = 27
the measures of angles of a hexagon 4x,5x,6x,7x,8x,9x.calculate the size of the largest angle.
Answer:
166 2/13 deg
Step-by-step explanation:
The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).
A hexagon has 6 sides, so n = 6.
sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720
4x + 5x + 6x + 7x + 8x + 9x = 720
39x = 720
x = 720/39
x = 240/13
The largest angle has measure 9x.
9x = 9 * 240/13 = 2160/13
2160/13 = 166 2/13
Answer: 166 2/13 deg
What is the slope of the line represented by the table below?
x y
-2 0
0 2
1 3
3 5
7 9
whats the slope
Answer:
The slope is 1 and the y-intercept is 2
Find (if possible) the complement and supplement of each angle in degrees:
1. 60 degrees
2. 48 degrees
3. 97 degrees
Answer:
1. Compliment: 30 degrees. Supplement: 120 degrees.
2. Compliment: 42 degrees. Supplement: 132 degrees.
3. Compliment: None. Supplement: 83 degrees.
What is the solution to the system of equations? 5x – 4y = 6 –5x + 4y = –10 (4, 4) (–2, –5) infinitely many solutions no solution
Answer:
No solution
Step-by-step explaination
i got it right have a great day
There is no solution because the variables level out to zero. Option D
What is a simultaneous equation?A simultaneous equation, also known as a system of equations, refers to a set of two or more equations with multiple variables that are solved together. To find a solution to the system, we are looking for values of x and y that make both Equation 1 and Equation 2 true at the same time.
We have the equation as;
5x – 4y = 6 ---(1)
–5x + 4y = –10 ---- (2)
Add (1) and (2)
When we add the both equations, we would arrive at no possible solution because the variables would be levelled out to zero.
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Wayne exercised for 5/6 of an hour in the morning and 1/3 of an hour in the evening. How much more of an hour did Wayne spend exercising in the morning than in the evening?
Answer:
[tex]\frac{1}{2}[/tex] of an hour
Step-by-step explanation:
Given:
Wayne exercised for 5/6 of an hour in the morning and 1/3 of an hour in the evening
To find:
Additional hours spent by Wayne exercising in the morning than in the evening.
Solution:
Time spent by Wayne in the morning = [tex]\frac{5}{6}[/tex] of an hour
Time spent by Wayne in the evening = [tex]\frac{1}{3}[/tex] of an hour = [tex]\frac{2}{6}[/tex] of an hour
So, Wayne spends [tex]\frac{5}{6}-\frac{2}{6}=\frac{3}{6}=\frac{1}{2}[/tex] more in the morning than in the evening.