Answer:
A
Step-by-step explanation:
P = 2 (W+L)
P = 2 (x+9+x-1)
P = 2 (2x+8)
P = 4x+16
The equation P = 4x+16 describes the perimeter, P, of the rectangle in terms of x. The correct answer would be option (A).
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
A rectangle has a length of x + 9 and a width of x - 1.
P = 2 (L + W) ....(i)
Substitute the values of L = x + 9 and W = x-1 in the above equation,
P = 2 (x+9+x-1)
P = 2 (2x+8)
P = 4x+16
Thus, the equation P = 4x+16 describes the perimeter.
Hence, the correct answer would be an option (A).
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Charlie has a $55 per month cell phone plan. The sales tax on his plan is 8%. Which expressions can be used to determine how much Charlie will pay each month in total (including tax)? (Select the TWO correct responses)
Option 4 55(108/100)
Option 2 55(0.08)
Option 3 55(8/100)
Option 1 55(1.08)
Answer:
The correct answers are Option 4 55(108/100) and Option 1 55(1.08)
Step-by-step explanation:
To begin, we must analyze the information we have and establish the result, in order to compare it with the results of the operations that the answers offer.
We know that the total Charlie pays for his cell phone plan is $ 55 + 8% tax.
One of the possible ways in which you can calculate a percentage would be in this case:
(55.8) : 100
440 : 100 = 4.40
This indicates that the tax was 4.4 added to 55, giving us a total of 59.4.
Now we just have to check that options 4 and 1 are correct. Let's see:
55 (108/100) =
55 (1.08) = 59.94
This last section is exactly the same as option 1, which also makes it a correct answer.
How can you determine the best measure of center and measure of variability to use based on the shape of the distribution?
Question- How can you determine the best measure of center and measure of variability to use based on the shape of the distribution?
Answer- Mean and median both try to measure the "central tendency" in a data set. Summarizing center of distributions (central tendency) .
The following is the way:
To determine the best measure of center and variability based on the shape of the distribution, you must first examine the shape of the data. If the distribution is symmetric and has no outliers, the mean is generally considered the best measure of center, and the standard deviation is a suitable measure of variability. However, for skewed distributions or those with outliers, the median is a more appropriate measure of center, as it is not as affected by extreme values. In such cases, the interquartile range (IQR) is often used to describe variability, since it focuses on the middle 50% of the data, reducing the influence of outliers.
Robust vs. Non-Robust Measures: Measures of center and variability can be robust or non-robust. Robust measures, like the median and IQR, are less affected by outliers and skewed data. Non-robust measures, like the mean and standard deviation, are greatly influenced by extreme values. Therefore, in the presence of outliers or a skewed distribution, robust measures are preferred.
Chebyshev's Rule is helpful in understanding the spread of data in relation to the mean. This rule states that a certain percentage of data must lie within a set number of standard deviations from the mean, regardless of the distribution's shape. In a bell-shaped distribution, which is symmetric and normal, the mean, median, and mode coincide at the peak of the curve, and measures like the mean and standard deviation reflect the data's center and spread effectively
The graphs shows the relationship between the number of bags of wild rice in a restaurant and the total number of pounds of wild rice in those bags. Which statement is not correct?
Answer:
Step-by-step explanation:is the divide by 7×10=70is
Instert commas to show periods according to the Indian as well as International place value system number of 8888888
Answer:
88,88,888
Step-by-step explanation:
The positions are 1,2,3,4 please answer this quickly it is due soon I will mark brainiest and I will give 14 points
Answer:
Step-by-step explanation:
This is Arithmetic sequence
a = first term= 4;
d= difference =second term - first term = 7 - 4 = 3
n= position
nth term = a + (n-1)*d
1st term = 4 + (1-1)*3 = 4 + 0 = 4
2nd term = 4 + (2-1)*3 = 4 + 1*3 = 4+3 = 7
5th term = 4 + (5-1)*3 = 4 + 4*3 = 4 + 12 = 16
6th term = 4 + (6-1)*3 = 4 + 5*3 = 4 + 15 = 19
or
To get the next term add the difference [3] to the previous term.
5th term = 13 +3 = 16
6th term = 16 + 3= 19
How many calories of energy will 20 grams of carbohydrates provide if 1 gram provides 4 calories?
Answer:
5 grams provided for 4 calories
Step-by-step explanation:
20 grams at 4 calories per gram.
20*4=80 Calories.
you randomly draw a marble from a A bag of marbles that contains eight blue marbles, five Green marbles, and eight red marbles
P(red & blue) = 16/21
Answer:
There is a 76% chance of either getting a blue or red marble
Step-by-step explanation:
8 + 5 + 8 = 21
There are 21 marbles in the bag
21 - 16 = 5
16/21 = 76%
4x² - 4x - 5=8x+6
Simplest radical form
Answer:
4^2 + 4x= 1
Step-by-step explanation:
4x^2 - 4x - 5= 8x +6
4x^2- 4x+8x =6-5
4x^2 + 4x =1
Each child spent a portion of their day playing.
Amanda spent 37%
Marcus spent 21%
Nick spent 3/7
Pat spent 2/9
Which list shows them in order from the least amount of time to the greatest amount of time spent playing?
Question 3 options:
A. Nick, Amanda, Pat, Marcus
B. Pat, Marcus, Amanda, Nick
C. Nick, Amanda, Marcus, Pat
D. Marcus, Pat, Amanda, Nick
Ann is making a quilt of squares cut diagonally in half. If the squares are 1 foot on a side, how long will the diagonal cuts be? EDIT: the answer is b
A. 1 ft.
B. (the square root of) 2 ft.
C. 4 ft.
D. 2 ft.
Answer:
(B)[tex]\sqrt{2} ft[/tex]
Step-by-step explanation:
Given a Square of side 1 foot, the length of the diagonal is determined using the Pythagoras theorem.
The diagonal is the hypotenuse of the right triangle obtained.
From Pythagoras Theorem,
[tex]Hypotenuse^2=Opposite^2+Adjacent^2\\=1^2+1^2\\=1+1\\Hypotenuse^2=2\\Therefore, Hypotenuse=\sqrt{2} ft[/tex]
The length of the diagonal is [tex]\sqrt{2} ft[/tex]
Answer:
B
Step-by-step explanation:
Find the slope between the following two points: (-15, -7) and (5,-3) *
Answer:
= 1/5
Step-by-step explanation:
We can find the slope using
m = (y2-y1)/(x2-x1)
= (-3- -7)/(5--15)
= (-3+7)/(5+15)
= 4/20
= 1/5
Answer:
The slope of the line is 1/5x.
Step-by-step explanation:
I graphed the points on the graph below. Then, I found the slope by counting the number of spots right and up from the first point to the second point.
At the start of the week, Monique’s savings account had a balance of $326. She made a $45 withdrawal each day for seven days. During that week, she also made two deposits of $125 each. Which integer represents the balance in Monique’s account at the end of the week?
A. –891
B. –261
C. 261
D. 891
Answer:
Step-by-step explanation:
45 times 7= 315
326-315=11
125 times 2=250
250+11=261
so the answer is C. $261
The integer which represent the balance in Monique's account at the end of the week is 261.
What is addition?The addition is taking two or more numbers and adding them together, that is, it is the total sum of 2 or more numbers.
What is subtraction?Subtraction means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.
According to the given question.
Amount of money Monique have initially = $326
The amount of money Monique withdrawal from her savings each day is $45.
⇒ For the seven days the withdrawal amount = 7 × $45 = $315
Also, she made two deposits of $125
So, the total amount se deposited = 2 × $125 = $250
Therefore,
The total balance in Monique's account at the end
= $326 - the amount she withdrawn + the amount she deposited
= $326 - $315 + $250
= $261
Hence, the integer which represent the balance in Monique's account at the end of the week is 261.
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The equation of a circle whose center is at (4,0) and radius is length 2 (3) is
(x - 4)2 + y2 = 213
(X - 4)2 + y2 = 12
(x + 4)2 + y2 = 12
Answer:
I think the answer is (x-4)2 + y2 = 12 :) sorry if i am wrong***
Step-by-step explanation:
Solve 4s - 12/t when s = 4 and t = 8
Answer:
14.5
Step-by-step explanation:
Which number can each term of the equation be multiplied by to eliminate the decimals before solving?
-m + 0.02 + 2.1m = -1.45 -4.81m
A. 0.01
B. 0.1
C. 10
D. 100
Answer:
D. 100.
Step-by-step explanation:
-m + 0.02 + 2.1m = -1.45 -4.81m
Multiply by 100:
-100m + 2 + 210m = -145 - 481m
Please answer and show work :)
Answer:
2 book cases
Step-by-step explanation:
If she has 1 1/4 gallons of paint then she has two (1/2) gallons and one (1/4) gallon. Each book case takes 1/2 gallon of paint and if you multiply it by 2 it equals 1 gallon. You only have 1/4 gallon left.
1 bookcase (1/2 gallon) + 1 bookcase (1/2 gallon) = 1 gallon. There is only 1/4 gallon left which is less than 1/2.
Help me solve the bottom question please ill give you brainliest (idk how to spell it)
Answer:
area is 6.9cm2
Step-by-step explanation:
you just multiply it out and divide by 2
please help ASAP this is very hard for me to do. You get 13 coins if you answer
Answer:
90 degrees I think
Step-by-step explanation:
Answer:90°
Step-by-step explanation:
All right angles are 90° and all triangles = 180°
To check it add 45° and 90° then you have the other angle
If the sin(50°)=0.77, what is the cos(40°)?
To find the cos(40°), you can use the trigonometric identity sin²θ + cos²θ = 1. Since 50° and 40° are close angles, you can approximate the cos(40°) as 0.6393.
Explanation:To find the cos(40°), we can use the trigonometric identity
sin²θ + cos²θ = 1.
Since we know that sin(50°) = 0.77, we can square this value to find the cos²(50°):
cos²(50°) = 1 - sin²(50°) = 1 - 0.77²
Simplifying, we get cos²(50°) ≈ 0.4089. Since cosine is positive in the first and fourth quadrants, the positive square root of this value gives us the cos(50°) ≈ 0.6393.
Therefore, we can approximate the cos(40°) as 0.6393 as well, since these are close angles.
Ronald works in an Ornithology (bird maintenance) department. Students asked him to find out the best estimate of the local bird population. So he tied a belt around the legs of 40 birds. A few days later, he observed 520 birds, 34 of which had belts. To the nearest whole number, what is the best estimate for the bird population?
Answer:
618 birds.
Step-by-step explanation:
Let the estimated number of birds=x
Out of x birds, he tied a belt around the legs of 40 birds.
When he observed 520 birds, 34 of which had belts.
Expressing each as a ratio
[tex]\frac{x}{40}=\frac{520}{34}[/tex]
Cross Multiply
34x=520X40
x=520X40÷34=611.7≈618
There are an estimated 618 birds.
Answer:
The best estimate for the bird population is 613 birds
Step-by-step explanation:
Let x be the total of number of estimated bird
From x, 40 birds are with belt
he observed 520 birds, 34 of which had belts.
Then taking reciprocal of both statements
x/40 = 520/34
34x = 520*40 = 20800
x = 20800/34
x = 613The total of number of estimated birds is 613 birds
The total of number of estimated birds is 613 birds
Hiromi is painting the front and back of a barn. Each can of paint covers 32 square feet . How many cans of paint does Hiromi need to cover the entire front and back of the barn. The dimensions are 11ft by 15ft by 12 ft
Answer:
312 square feet
Step-by-step explanation:
Each square is 11 x 12 feet which is 132 times 2 for the front and back, which is 264 feet. Then, the triangles at the top have a height of 4 feet (15-11) and a base of 12 feet, so because there are 2 triangles, the result is 12x4=48. Then, you add 264 to 48 and all done.
Hiromi will need to buy 19 cans of paint to cover the entire front and back of the barn.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Since, The front and back of the barn each have an area of;
11ft x 12ft = 132 square feet.
Since Hiromi is painting the front and back, the total area to be painted is:
2 x 132 = 264 square feet
Similarly, the two sides of the barn each have an area of
11ft x 15ft = 165 square feet.
Since there are two sides, the total area of the sides to be painted is:
2 x 165 = 330 square feet
The total area to be painted is the sum of the front/back area and the side area:
264 + 330 = 594 square feet
Since each can of paint covers 32 square feet, the number of cans of paint Hiromi needs is:
594 / 32 ≈ 18.56 cans
Since, Hiromi cannot buy a fraction of a can of paint,
Hence, she will need to buy 19 cans of paint to cover the entire front and back of the barn.
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When two chords intersect "inside" a circle, what two sets of
angles are formed.
Answer:
Two sets of vertical angles are formed.
Find the missing measures
43
Answer:
y=43
x=137
z=137
Step-by-step explanation:
Suppose you are driving to visit a friend in another state. You are driving at an average rate of 75 miles per hour. You must drive a total of 475 miles. If you have already driven 100 miles, how long will it take you to reach your destination?
Answer: 5 hours
Step-by-step explanation:
1)
[tex] \frac{475}{75} = \frac{19}{3} = 6 \frac{1}{3} \\ [/tex]
2)
[tex] \frac{100}{75} = \frac{4}{3} = 1\frac{1}{3} \\ [/tex]
3)
[tex]6 \frac{1}{3} - 1 \frac{1}{3} = 5[/tex]
Answer: 5 hours
35 total girls and 50 total boys were surveyed. How
many students bought their lunch from the cafeteria?
Round to the nearest whole number.
students
Answer:
36 students
Step-by-step explanation:
right on edge
The total number of students bought their lunch from cafeteria is 36.
Given data:
The total number of girls is 35 and the total number of boys is 50.
Probability of boys bought their lunch from cafeteria = 0.44
Since total no. of boys =50
So, number of boys bought their lunch from cafeteria P ( B ) = 50*0.44
And, the value of P ( B ) = 22
Probability of girls bought their lunch from cafeteria = 0.4
Since total no. of girls =35
So, number of girls bought their lunch from cafeteria P ( G ) = 35*0.4
So, the value of P ( G ) = 14
The total number of students , n = P ( B ) + P ( G )
So, n = 22 + 14
n = 36
Hence , the number of students is 36
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The complete question is attached below:
35 total girls and 50 total boys were surveyed. How many students bought their lunch from the cafeteria? Round to the nearest whole number.
Find the 5th term of the
sequence: -8,-1, 6, 13...
Answer:
20
Step-by-step explanation:
We need to determine what we are adding each time.
Take the 2nd term and subtract the first term
-1 - (-8)
-1 +8 = 7
We add 7 each time
To find the 5th term, add 7 to the 4th term
the 4th term is 13
13+7 = 20
Answer:
20
Step-by-step explanation:
a = -8
d = -1 - (-8) = 7
An = a + (n - 1)d
A5 = -8 + (5 - 1)(7)
A5 = -8 + 28
20
What is the square root of pi squared multiplied by 5x
Answer:
[tex]7.0248\sqrt{x}[/tex]
Step-by-step explanation:
We want to find the answer to the expression: [tex]\sqrt{\pi ^2*5x}[/tex]
We can easily calculate the product of the constants on the inside:
[tex]\sqrt{\pi ^2*5x}=\sqrt{49.348x}[/tex]
Now, we can split this radical into two:
[tex]\sqrt{49.348x}=\sqrt{49.348} *\sqrt{x} =7.0248\sqrt{x}[/tex]
Thus, the answer is [tex]7.0248\sqrt{x}[/tex].
Hope this helps!
Answer:
sqrt(5x) pi
Step-by-step explanation:
(pi² × 5x)^½
(pi²)^½ × (5x)^½
pi × sqrt(5x)
Evaluate each expression if a=4, b=6 and c=3
5b-6c
Answer:
it is 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
replace the values.
5(6) - 6(3)
Using PEMDAS, you would do multiplication first.
30 - 18
Next, subtraction.
12
Score on a test are normally distributed with a mean of 63.2 and standard deviation of 11.7 find, P 81 which separates the bottom81% from top 19%
Answer:
P 81 = 73.5
Step-by-step explanation:
This is a normal distribution problem with a mean of 63.2 and standard deviation of 11.7.
Let the number that separates the bottom 81% from the top 19% be x' and let it's z-score be z'.
P(x ≤ x') = P(z ≤ z') = 0.81
Using the normal distribution table,
z' = 0.878
But note that the z-score for any value is that value minus the mean divided by standard deviation.
z' = (x' - μ)/σ
0.878 = (x' - 63.2)/11.7
x' = 73.4726 = 73.5 to 1 d.p
Hope this Helps!!!
Final answer:
To find the value that separates the bottom 81% from the top 19%, you can use the z-score formula and the given mean and standard deviation to calculate the desired value.
Explanation:
To find the value that separates the bottom 81% from the top 19%, we need to find the z-score corresponding to the 81st percentile.
Using the formula Z = (X - μ) / σ where X is the given value, μ is the mean, and σ is the standard deviation, we can rearrange it to solve for X as:
X = Z * σ + μ
Since we know the mean is 63.2 and the standard deviation is 11.7, we can calculate the z-score corresponding to the 81st percentile (0.81) using the standard normal distribution table or a calculator.
Once we have the z-score, we can substitute it into the formula to find the corresponding value.
You want to buy a milkshake and some fries. You look up prices for two different places.
Restaurant 1 sells milkshakes for $4 and fries for $1. Restaurant 2 sells milkshakes for $3 and fries
for $2. At what amount of fries bought will the restaurants be the same price?
Answer:
1 piece of fry
Step-by-step explanation:
Given:
You want to buy a milkshake and some fries. You look up prices for two different places.
Restaurant 1 sells milkshakes for $4 and fries for $1. Restaurant 2 sells milkshakes for $3 and fries for $2.
Question asked:
At what amount of fries bought will the restaurants be the same price?
Solution;
Let at [tex]x[/tex] amount of fries bought the restaurants will be the same price.
As you want to buy a milkshake and [tex]x[/tex] fries, the equation will be:-
For Restaurant 1
[tex]4+1\times x[/tex]
For Restaurant 2
[tex]3+2\times x[/tex]
Now, at [tex]x[/tex] amount of fries bought the restaurants will be the same price.
[tex]4+x=3+2x\\ \\ By\ subtracting\ both\ sides\ by\ 3\\ \\ 4-3+x=3-3+2x\\ \\ 4-3+x=2x\\ \\ 1+x=2x\\ \\ By\ subtracting\ both\ sides\ by\ x\\ \\ 1+x-x=2x-x\\ \\ 1=x[/tex]
Therefore, at 1 piece of fry bought the restaurants will be the same price.