Answer:
Frequency density is found when we divide the class width being the days of the week = 7 So that when we see 6 emails its divided by 7 = 6/7 0.857142857 as density 59/7 = 8.42857143 and 55/7 =7.85714286 and 106/7 = 15.1428571 and 84/7 = 12 and 86/7 = 12.285714 and 96/7 =13.7142857 this shows us we need to draw 16 bars up and 7 bars across - The bars across (x line) can be days of the week and the bars going up (y line) an be number of emails if 16 is ore than 106/7 then 16 squares > 106/7 then 15 < 106/7 So we ensure its a proportion of 15.143 and not more than that- and not less than 15.142 for day 4 = 106 emails
The question says “write with prime number base” and the question is 8 square root 32 (7,d)
Answer:
[tex]2^{\frac{11}{2}}[/tex].
Step-by-step explanation:
We need to write the given expression with prime number base.
In question 7, part d.
The given expression is
[tex]8\sqrt{32}[/tex]
It can be rewritten as
[tex]2^3\sqrt{2^5}[/tex]
Using properties of exponents , we get
[tex]2^3(2^5)^{\frac{1}{2}}[/tex]
[tex]2^3(2^{\frac{5}{2}})[/tex] [tex][\because \sqrt[n]{x}=x^{\frac{1]{n}}][/tex]
[tex]2^{3+\frac{5}{2}}[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
[tex]2^{\frac{6+5}{2}}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]2^{\frac{11}{2}}[/tex]
Here, base is 2 and it is prime number.
Therefore, the required expression is [tex]2^{\frac{11}{2}}[/tex].
√(81+18√(7)+7)
(not decimal form)
Answer:
[tex]\huge\boxed{\sqrt{81+18\sqrt7+7}=9+\sqrt7}[/tex]
Step-by-step explanation:
[tex]\sqrt{81+18\sqrt7+7}=(*)\\\\81=9^2\\7=(\sqrt7)^2\\18\sqrt7=(2)(9)(\sqrt7)\\\\(*)=\sqrt{9^2+(2)(9)(\sqrt7)+(\sqrt7)^2}\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\sqrt{(9+\sqrt7)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|9+\sqrt7|=9+\sqrt7[/tex]
Solve the equation using the distributive property and properties of equality
-5 (a + 3) = -55
What is the value of a?
Answer:
8
Step-by-step explanation:
1. distribute -5a-15= -55
2. get rid of -15 by adding 15 to both sides of the equation
-5a=-40
3. divide each side by -5 to get a
a=8
Please answer correctly !!!! Will mark brainliest !!!!!!!!
Answer:
a.............
........
Answer:
A.
Step-by-step explanation:
So the d in this case is 2. D is the number of kilometers Erica walked.
T is the vertical distance.
Find the right choice:
After she had walked 2km along the trail, Erica's vertical distance from the top of the valley was equal to T kilometers.
PLease Solve Quick 20 points! brainiest to whoever answers first and correctly!
The function f satisfies
f(sqrt(x+1))=1/x
for all x>=-1.
Find f(2)
Answer:
f(2)=1/3
Step-by-step explanation:
x=3
f(sqrt(3+1))=1/3
f(sqrt(4))=1/3
f(2)=1/3
5. The length of a rectangular sign is 6 inches more than half its width. The area of the sign is 432 square
inches. Find the dimensions of the sign.
Answer:
X = 13.2
Step-by-step explanation:
W = x
L = 2x + 6
A = 432in^2
x(2x + 6) = 432
2x^2 + 6x = 432
Answer:
x=13.2
Step-by-step explanation:
Skis at a sports store near Snow Summit are on sale for $475. If the original price was $500,what discount rate(percent change) does this represent?
Answer: 5%
Step-by-step explanation:
Hi to answer this question, first we have to calculate the discount amount:
Original price - sale price
500-475 =25
Now, the original price (500) multiplied by the percent discount in decimal form (x) must be equal to the discount amount (25)
500x =25
Solving for x
x =25/500 =0.05
Multiply it by 100 to express in percentage form.
0.05 x 100 = 5%
Feel free to ask for more if needed or if you did not understand something.
You have set a goal to drink more water every day. Your water bottle holds 0.5 liters of water. In the equation below, b is the number of times you drink all the water in your bottle, and l is the number of liters of water you drink. The relationship between these two variables can be expressed by the following equation: l=0.5b.
Identify the dependent and independent variables.
Answer:
The independent variable is b and the dependent variable is l
Step-by-step explanation:
The independent variable is b and the dependent variable is l
The independent variable is the one you change, and the dependent variable is changed when you alter the independent variable
Which graph can be used
find the solution for the equation 4x + 2 = x+ 37
Hover over answer image to enlarge
sorry if the image is hard to read. the blue in D in going down the origin.
A mathematics teacher wanted to see the correlation between test scores and
homework. The homework grade (x) and test grade (y) are given in the accompanying
table. Write the linear regression equation that represents this set of data, rounding
all coefficients to the nearest hundredth. Using this equation, estimate the homework
grade, to the nearest integer, for a student with a test grade of 68.
Homework Grade (x) Test Grade (y)
X | Y
88 | 90
55 | 55
89 | 91
85 | 88
61 | 52
76 | 76
76 | 81
61 | 59
Answer:
The homework grade, to the nearest integer, for a student with a test grade of 68 is 69.
Step-by-step explanation:
The general form of the linear regression equation is:
[tex]y=a+bx[/tex]
Here,
y = dependent variable = test grade
x = independent variable = homework grade
a = intercept
b = slope
Compute the value of a and b as follows:
[tex]a=\frac{\sum Y\cdot \sum X^{2}-\sum X\cdot\sum XY}{n\cdot \sum X^{2}-(\sum X)^{2}}\\\\=\frac{(592\times 44909)-(591\times45227)}{(8\times44909)-(591)^{2}}\\\\=-14.316[/tex] [tex]b=\frac{n\cdot \sum XY-\sum X\cdot\sum Y}{n\cdot \sum X^{2}-(\sum X)^{2}}\\\\=\frac{(8\times 45227)-(591\592)}{(8\times44909)-(591)^{2}}\\\\=1.195[/tex]
The linear regression equation that represents the set of data is:
[tex]y=-14.316+1.195x[/tex]
Compute the value of x for y = 68 as follows:
[tex]y=-14.316+1.195x[/tex]
[tex]68=-14.316+1.195x\\1.195x=68+14.316\\1.195x=82.316\\x=68.884\\x\approx 69[/tex]
Thus, the homework grade, to the nearest integer, for a student with a test grade of 68 is 69.
The linear regression equation which models the relationship between homework grade and test grade and the predicted homework grade are :
y = 1.20x - 14.32 Predicted, x = 69Using technology, the linear model can be obtained using either excel or a linear regression calculator.
Using a linear regression calculator which gives the linear equation in the form :
y = bx + cy = 1.20x - 14.32
y = Test grade ; x = homework grade Slope, b = 1.20 ; intercept, c = - 14.32Using the model equation obtained :
Test grade, y = 68Homework grade, xy = 1.20x - 14.32
68 = 1.20x - 14.32
68 + 14.32 = 1.20x
82.32 = 1.20x
x = (82.32 ÷ 1.20)
x = 68.6
x = 69 (nearest integer)
Therefore, the estimated homework grade for a test score of 68 is 69
Learn more : https://brainly.com/question/18405415
Mary receives a $10,000 inheritance on her 21st birthday. She pays $500.00 a month for rent; owes
$9,000.00 on her car loan with an interest rate of 5%; and owes $50,000 in student loan debt with a fixed
interest rate of 3%. She has a Visa Card with a balance of $600 at 16% interest.
Which is the wisest choice for Mary?
A
Use it all to pay down the student loan deb
B
Put it all in a savings account that has an interest rate of 2%.
C
Use most of it to pay off the $600 credit card and
a
D
Use it all to pay rent in advance.
Answer:
C
Use most of it to pay off the $600 credit card and a
a
Step-by-step explanation:
Base on the scenario been described in the question, the wisest thing Mary should do after receiving $10,000 inheritance on her 21st birthday is to Use most of it to pay off the $600 credit card and Use it all to pay down the student loan debt
PLEASE HELP! I’ll GIVE THE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY!!
Can someone tell me,how to do this???pls
Answer:
9x-2w+11y
Step-by-step explanation:
To find the perimeter, add up all the sides
7x-7w + 2x+9y + 2y+5w
Combine like terms
7x +2x -7w +5w + 9y+2y
9x-2w+11y
How many triangles can you make if you are given these three lengths for sides
Answer:
a lot of triangles
Step-by-step explanation:
hope this helps please give me brainiest
Answer:
In traditional power stations, the original energy source spins a turbine which connects to an electric generator. The generator converts mechanical energy into electrical energy. This working is based on which fundamental principle of physics?
A.
Newton’s law
B.
Ohm’s law
C.
Stoke’s law
D.
Faraday’s law
Step-by-step explanation:
What is the perimeter of this square?
Answer:
144 cm
Step-by-step explanation:
P=4l
P=4*36
P=144 cm
Answer:
144 cm
Step-by-step explanation:
Since the shape is a square, all the lengths are the same. so to solve, add all the lengths together. Either (36+36+36+36) or 36*4. 36*4=144. So, the answer is 144 cm
what is −5x+2y=9
y=7x
Answer:
x=1, y= 7
Step-by-step explanation:
−5x+2y=9
y=7x
Substitute the second equation in for the first
-5x +2(7x) = 9
-5x + 14x = 9
Combine like terms
9x = 9
Divide by 9
9x/9 = 9/9
x =1
Now find y
y = 7(1)
y =7
Answer:
Step-by-step explanation:
-5x+2y=9
y=7x
Since you know what y is relative to x, you can plug it into the formula to find your answer.
-5x+2(7x)=9
14x-5x=9
x=1
y=7
What is the area and perimeter of the length is 1.5 m and a width being 0.25 m? Thank you if ur a helper!
Answer: The area is 0.375 and the perimeter is 3.5
Step-by-step explanation:
The formula to find the area of something is length x width. So you have to multiply 1.5 x 0.25 which equals 0.375.
The formula to find the perimeter of something is length + width + length + width. (basically you have to add up all of the sides). I'm assuming the shape is a rectangle which means 2 sides have a length of 1.5 and the other 2 sides have a width of 0.25. So that means you would have to add 1.5 + 1.5 + 0.25 + 0.25 which equals 3.5
Answer:
Below in bold.
Step-by-step explanation:
Perimeter = 2 * length + 2 * width
= 2*1.5 + 2*0.25
= 3 .5 m.
Area = length * width
= 1.5 * 0.25
= 0.375 m^2.
What is a quartile of 35, 45, 50, 65,85
Answer:
Lower quartile: 21.5
Median: 45
Upper quartile: 57.5
Step-by-step explanation:
pls mark brainliest
Assume that Sunday is represented as day 0, Monday is represented by day 1, and so on. If today is Monday (day 1), determine the day of the week it will be at the end of 155 days. Assume no leap years.
Answer:Wednesday
Step-by-step explanation:
Given
Sunday is considered as 0 day and
Monday as day 1 so Saturday must be considered as day 7
At the end of 155 days
i.e. [tex]\dfrac{155}{7}=22\times 7+1[/tex]
Up to 155 days there are 22 weeks and 1 extra day i.e.
There are 22 Mondays plus 1 extra day i.e. Tuesday
[tex]155^{th}\ \text{day is Tuesday and day after it is wednesday}[/tex]
A recipe uses 4 c of rice to every 5 c of beans. How many cups of beans are needed for 10 c of rice?
Answer:12.5
Step-by-step explanation:
10 c of rice is 2.5x the recipe, so you just have to multiply 5 x 2.5 to the amount of beans.
Which of the following represents the sum of the series below 4+7
Answer:
The sum is addition ----- 11 is the answer
Step-by-step explanation:
If x=12 and y=3, what is the value of x−y2?
6
18
3
81
Answer:
6 OR 3. Read explanation
Step-by-step explanation:
12-(3*2)=12-6=6
But I am guessing there may be a formatting error and you are trying to find y^2, so here goes.
12-(3^2)=12-9=3
Hope I patched up the holes. Good luck with homework :)
find the area of the trapazoid
Answer:
7.5 square units
Step-by-step explanation:
Since one of the bases of the trapezoid is 4 units long and the other is 1 unit long, while the height is 3, the area of the trapezoid is (4+1)/2 * 3=2.5*3=7.5. Hope this helps!
Answer:
13.5
Step-by-step explanation:
Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).
The line y = –8 is .
The line perpendicular to the line y = –8 is .
The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is .
Answer:
x = - 4
Step-by-step explanation:
y = - 8 is the equation of a horizontal line parallel to the x- axis.
A perpendicular line must then be a vertical line parallel to the y- axis.
The equation of a vertical line is x = c
where c is the value of the x- coordinates it passes through.
The line passes through (- 4, - 2) with x- coordinate - 4, thus
x = - 4 ← equation of perpendicular line
Answer:
Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).The line y = –8 is ✔ horizontalslantedvertical.The line perpendicular to the line y = –8 is horizontalslanted✔ vertical.The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is ✔ x = –4y = –4x = –2y = –2.
Step-by-step explanation:
Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).The line y = –8 is ✔ horizontalslantedvertical.The line perpendicular to the line y = –8 is horizontalslanted✔ vertical.The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is ✔ x = –4y = –4x = –2y = –2.
PLEASE HELPPPP!!!!!!
Answer:
C = 3 √ 5
(since 9 is a perfect square), we can simplify radical 45 to 3 times radical 5
B √ 9*5 is true but not simplified.
We need to find a square numbers that divide into 45
We find 9
And show a * b = c
c= 45
so a * b = 9 * 5 = 3√ 5 is how we arrange this to simplify.
Step-by-step explanation:
The list is
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
We see there are 10 perfect squares 1-100
5 are 1-25
then think 6 , 7, 6 , 9 ,10 squared/ if you cant list them too quickly.
What is the completely factored form of 3x^5-7x^4+6x^2-14x?
Answer:
x(x - 7)(x^3 + 2)
Step-by-step explanation:
Note that x is a common factor here:
3x^5-7x^4+6x^2-14x = x(3x^4 - 7x^3 + 6x - 14), or:
x(3x^4 - 7x^3 + 6x - 14) Note that 6x - 14 can be rewritten as 2[x - 7]
and that 3x^4 - 7x^3 can be rewritten as x^3[x - 7]
Therefore, x(3x^4 - 7x^3 + 6x - 14 becomes:
x(x - 7)(x^3 + 2)
what is 5(2x + 3y) + 7(3x –y) simplified
Look at the attached picture
◖⚆ᴥ⚆◗
Answer: The answer is 31x+8y
Step-by-step explanation:
(5)(2x)+(5)(3y)+(7)(3x)+(7)(−y)
=10x+15y+21x+−7y
Combine Like Terms:
=10x+15y+21x+−7y
=(10x+21x)+(15y+−7y)
=31x+8y
Identify 2 objects you could find in a grocery store that hold less than 100 millimeters.
Kay leaves a $6 tip for a $40 bill. What percent tip did kay leave?
Answer:
15% tip
Step-by-step explanation:
6/40= 0.15= 15%
Answer:
15% tip.
Step-by-step explanation:
you can divide $6 by $40. this will give you .15 or 15%.
do the ratios 1/3 and 2/9 form a proportion
Answer: No they don't because there is not way 1/3 can be multiplied by a number to get 2/9 and there is no way 2/9 can be divide by any number to get 1/3.
Step-by-step explanation:
Answer:
they do!
Step-by-step explanation:
2/9 / 1/3 = 3/6 = 1/3
So the proportion is 2 to 1