Answer:
11x will be the answer
Step-by-step explanation:
Ms. Barnsley separates her class into two groups. She gives each student the same 25-question math quiz. Group A uses a calculator, while Group B does not. The table shows the completion times, in minutes, of students in each group.
Which statement is true about the distributions of completion times?
The students in Group A tended to complete the quiz in less time.
The median of Group A is greater than the median of Group B.
The means of both groups are about the same.
The standard deviation of Group B is less than the standard deviation of Group A.
Answer:
The median of Group A is greater than the median of Group B.
Step-by-step explanation:
Given
[tex]\begin{array}{cccccccccc}{Group\ A} & 4.5 & 4.8 & 4.6 & 5.0 & 4.8 & 4.4 & 4.7 & 5.2 & 3.9 \ \\ {Group\ B} & 5.5 & 4.9 & 4.0 & 4.2 & 4.8 & 4.1 & 3.5 & 4.6 & 4.3 \ \end{array}[/tex]
Required
Which of the options is true
(a) Group A complete in less time
To do this, we calculate the average of both using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
Where
[tex]n = 9[/tex]
So, we have:
[tex]\bar x_A = \frac{4.5 + 4.8 + 4.6 + 5.0 + 4.8 + 4.4 + 4.7 + 5.2 + 3.9}{9}[/tex]
[tex]\bar x_A = \frac{41.9}{9}[/tex]
[tex]\bar x_A = 4.66[/tex]
[tex]\bar x_B =\frac{5.5 + 4.9 + 4.0 + 4.2 + 4.8 + 4.1 + 3.5 + 4.6 + 4.3}{9}[/tex]
[tex]\bar x_B =\frac{39.9}{9}[/tex]
[tex]\bar x_B =4.43[/tex]
The average time of Group A is higher than that of B, this means that Group A spend more time, on average.
(b) Group A has a greater median
First, we sort the given data in ascending order
[tex]\begin{array}{cccccccccc}{Group\ A} & 3.9 & 4.4 & 4.5 & 4.6 & 4.7 & 4.8 & 4.8 & 5.0 & 5.2 \ \\ {Group\ B} & 3.5 & 4.0 & 4.1 & 4.2 & 4.3 & 4.6 & 4.8 & 4.9 & 5.5 \ \end{array}[/tex]
The median is then calculated using:
[tex]Median = \frac{n + 1}{2}th[/tex]
This gives:
[tex]Median = \frac{9 + 1}{2}th[/tex]
[tex]Median = \frac{10}{2}th[/tex]
[tex]Median = 5th[/tex]
The median is the fifth item for both groups.
So, we have:
[tex]A =4.7[/tex]
[tex]B =4.3[/tex]
4.7 is greater than 4.3
Hence, (b) is true
Since (b) is true and only one option is correct, then (c) and (d) are incorrect
Answer:
b
Step-by-step explanation:
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
B
Step-by-step explanation:
According to Order of Operations, you always do exponents first
x<-7 on a number line
Answer:
mark -7 on the line then draw a line to the left of it
HELP I WILL MARK BRAINLIEST
Answer:
#5 - C
#7 - A
Step-by-step explanation:
If two items are similar, it means that the angles and figure itself have not changed, just the size. The two objects are prototional to each other.
In order to find the length of one side, we have to find what the size difference is, if that makes sense. We have to figure out the number that the smaller size is multiplied by in order to get the bigger number (or the other way around).
#5:
Side LK and side DE are preportional. We can divide 35 by 10 to figure out the proportion size. 35/10=3.5. Then we can take that and use it to find the other side. MK and FD are proportional. We can now take 22 and multiply it by 3.5 to get the new side length. 22x3.5=77
#7:
Same thing. 12/8=1.5, which is the proportional size change. We can now take the already exisiting number and multiply it. 5x1.5=7.5
50 POINTS!!! HELP ME PLEASE!!!!
Step-by-step explanation:
1. 3.6 x 10^-1
2. 3.1 x 10^6
3. 5.3 x 10^-6
4. 4.2 x 10^-1
What is the volume of the following sphere? Use 3.14 for x.
18 mm
3,052.08 mm 3
24.416.64 mm 3
113.04 mm
3
226.08 mm 3
Answer: 3,052.08
Step-by-step explanation: 4/3 * pi * 18/2
A 2-liter bottle of soda pop contains 2,000 milliliters.
True
False
Answer:
TRUE!
Step-by-step explanation:
1 liter (L) = 1000 milliliters (mL)
If you have 2 Liters, then you would DOUBLE the milliliters (2000)
What is the volume of this retangular prism
Answer:
27
Step-by-step explanation:
3 times 3 times 3
length times width times height
I hope this helped!
Answer:
27
Step-by-step explanation:
Which 3 of the following numbers are irrational?
PLEASE ONLY ANSWER IF YOU KNOW THE ANSWER.
[tex]13 + \sqrt{25} [/tex]
[tex]17\pi[/tex]
[tex].21475467...[/tex]
[tex] \sqrt{ \frac{9 }{16} } [/tex]
[tex] - \frac{4}{5} + \sqrt{ \frac{6}{9} } [/tex]
Answer:
The irrational numbers from the given options are :-
[tex]17\pi[/tex][tex]0.21475467.....[/tex][tex]-\frac{4}{5} + \sqrt{\frac{6}{9} }[/tex]Step-by-step explanation:
Analyse each option carefully.
1) [tex]13 + \sqrt{25}[/tex] is a rational number because :-
[tex]\sqrt{25} = 5[/tex][tex]13 + \sqrt{25} = 13 + 5 = 18[/tex] , which is a rational number.2) [tex]17\pi[/tex] is irrational because :-
Value of π has a non-terminating & non-recurring decimal value. So it is irrational number.If π is irrational , then 17π is also irrational because product of any number and an irrational number is always irrational.3) [tex]0.21475467....[/tex] is irrational because :-
It is a non-terminating & non-recurring decimal.Any non terminating & non-recurring decimal is an irrational number.4) [tex]\sqrt{\frac{9}{16} }[/tex] is rational because :-
[tex]\sqrt{\frac{9}{16} } = \frac{\sqrt{9} }{\sqrt{16} } = \frac{3}{4}[/tex].[tex]\frac{3}{4}[/tex] is a rational number.5) [tex]-\frac{4}{5} + \sqrt{\frac{6}{9} }[/tex] is irrational because :-
[tex]\sqrt{\frac{6}{9} } = \frac{\sqrt{6} }{\sqrt{9} } = \frac{\sqrt{6} }{3}[/tex] , which is irrational.If [tex]\frac{\sqrt{6} }{3}[/tex] is irrational , then [tex]-\frac{4}{5} + \sqrt{\frac{6}{9} }[/tex] is also irrational because sum of any number and an irrational number is always an irrational number.Solve the following system. y = 2x2 - 3x - 4 and y + x = 8. Enter the solution with the smaller x value first. The solutions are ( , ) and ( , )
The solutions of the nonlinear system of equations are the points (x₁, y₁) = (- 2, 10) and (x₂, y₂) = (3, 5).
How to solve a system of algebraic equationsWe find in this place a non-linear system formed by a quadratic equation and a linear equation, which can be solved by algebra properties. The complete procedure is shown below:
y = 2 · x² - 3 · x - 4 (1)
y + x = 8 (2)
By (2) in (1):
2 · x² - 3 · x - 4 + x = 8
2 · x² - 2 · x - 12 = 0
2 · (x² - x - 6) = 0
2 · (x - 3) · (x + 2) = 0
x = 3 ∨ x = - 2
y = 8 - 3 ∨ y = 8 - (- 2)
y = 5 ∨ y = 10
The solutions of the nonlinear system of equations are the points (x₁, y₁) = (- 2, 10) and (x₂, y₂) = (3, 5).
To learn more on quadratic equations: https://brainly.com/question/17177510
#SPJ1
A new motorcycle has a value of $8,000. Every year its value decreases by $500. Which function can be used to find y, the value of the motorcycle in x years?
A. y = 500x + 8,000
B. y = -500x - 8,000
C. y = -500x + 8,000
D. y = 500x - 8,000
PLEASE HELP ME :)
Answer:
d
Step-by-step explanation:
A function is a relationship between inputs where each input is related to exactly one output.
The function for the value of the motorcycle after x years.
y = 8000 - 500x
y = -500x + 8000
Option C is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A new motorcycle has a value of $8,000.
Every year its value decreases by $500.
Now,
y = amount of the motorcycle
x = number of years
The function for the value of the motorcycle after x years.
y = 8000 - 500x
y = -500x + 8000
Thus,
The function for the value of the motorcycle after x years.
y = 8000 - 500x
y = -500x + 8000
Option C is the correct answer.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
Find the length side of W
Answer:
17.99
Step-by-step explanation:
Trig Ratios:
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Tangent
We can use trig ratio sine as we are given an angle ( 40° )and the hypotenuse (28) and we need to find its opposite side (w)
Recall that sin = opposite over hypotenuse
That being said we want to create an equation to solve for w
[tex]sin(40)=\frac{w}{28}[/tex]
Now we solve for w
Step 1 multiply each side by 28
[tex]\frac{w}{28} *28=w\\sin(40)*28=28sin(20) = 17.99[/tex]
we're left with w = 17.99
Help! What is the answer. Please, help ASAP.
What is an example of Data and statistics
A rectangular prism has a volume of 154 in3 . Which set of dimensions below could be the dimensions of the prism?
Answer:
2 by 7 by 11
Step-by-step explanation:
A rectangular prism has a volume of 154 in3
. Which set of dimensions below could be the dimensions of the prism?
6 by 8 by 3
5 by 6 by 7
2 by 7 by 11
Volume of a rectangular prism = base area x height
Base area = length x width
6 x 8 x 3 = 144 this is not equal to 154. This is not the correct dimension
5 x 6 x 7 = 210 this is not equal to 154. This is not the correct dimension
2 x 7 x 11 = 154 this is the correct dimension
Find the length of the missing side. Round to the nearest hundredth if necessary
a=6
b=3
what is c
Answer:
6.71
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
6^2+3^2=c^2
36+9=c^2
45=c^2
6.71=c
What evidence shows that the uprisings at Treblinka and Sobibor were not a complete failure?
Both camps were closed after the uprising.
Prisoners attacked and killed SS men and guards.
Thousands of prisoners escaped and were never captured.
All gas chambers in camps were shut down.
Answer:
both camlps
Step-by-step explanation:
Answer:
B.) Prisoners attacked and killed SS men and guards.
Step-by-step explanation:
edge
For all values of x, f(x)=x-1 and g(x)=2x^2+3. Solve fg(x)=gf(x)
Answer:
x=3/4
Step-by-step explanation:
Given:
f(x) = x-1
g(x) = 2x²+3
Evaluate composite functions:
f(g(x)) = f(2x²+3) = (2x²+3)-1 = 2x²+2
g(f(x)) = g(x-1) = 2(x-1)²+3 = 2(x²-2x+1)+3 = 2x²-4x+2+3 = 2x²-4x+5
Set expressions equal to each other and solve for x:
2x²+2 = 2x²-4x+5
2 = -4x+5
-3 = -4x
3/4 = x
x = 3/4
Therefore, the value of x=3/4 satisfies both composite functions
Factor
x
3
+
6
x
2
+
2
x
+
12
Answer:
♿⚠️⛔☢☣⬆️↗️➡️↘️⬇️↙️⤵️⤴️↪↩↔️↕️↖️⬅️
The diameter of a circle is 46 yards. What is the circle's circumference? d=46 yd Use 3.14 for it.
Please helppppppp
Answer:
144.44 yd
Step-by-step explanation:
show that 2.373737... =2.37 canbe expressed in the form p/q where pand q are integers and q≠0
Answer:
[tex] 2.373737....=\frac{235}{99}[/tex]
Step-by-step explanation:
[tex] 2.373737....=2.\overline{37}[/tex]
[tex] Let\: x=2.\overline{37}...(1)[/tex]
[tex] \therefore 100x=237.\overline{37}...(2)[/tex]
Subtracting equation (1) from equation (2), we find:
[tex] \therefore 100x-x=237.\overline{37}-2.\overline{37}[/tex]
[tex] \therefore 99x=237+0.\overline{37}-2-0.\overline{37}[/tex]
[tex] \therefore 99x=235[/tex]
[tex] \therefore x=\frac{235}{99}[/tex]
[tex] \implies 2.373737....=\frac{235}{99}[/tex]
h+6.9+11.4
a
4.0
b
4.5
c
5.0
d
5.5
Could you please express this question better, I don't seem to understand the objective.
What units would you use to describe the volume of a box measured in
centimeters?
A. Cubed centimeters
B. Inches
C. Square feet
D. Cubed Inches
Answer:
A
Step-by-step explanation:
Can somebody help me with writing a real-life problem on this subject Finding angle measures of a right or isosceles triangle given angles with variables thank you?
Answer:
See Explanation
Step-by-step explanation:
See attachment for illustration
(a) Right triangle
The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:
[tex]x + y + 90 = 180[/tex]
Subtract 90 from bot sides
[tex]x + y = 90[/tex]
Make x the subject
[tex]x = 90 - y[/tex]
Make y the subject
[tex]y = 90 - x[/tex]
This implies that, subtract the known angle from 90 to get the unknown angle.
Assume [tex]x = 40[/tex]
We make use of: [tex]y = 90 - x[/tex]
[tex]y = 90 - 40 = 50[/tex]
(b) Isosceles triangle
The sum of angles in an isosceles triangle is:
[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal
[tex]x + 2y = 180[/tex]
Make x the subject
[tex]x = 180 - 2y[/tex]
Make y the subject
[tex]y = \frac{180 - x}{2}[/tex]
Assume [tex]x = 40[/tex], we make use of:
[tex]y = \frac{180 - x}{2}[/tex]
[tex]y = \frac{180 - 40}{2}[/tex]
[tex]y = \frac{140}{2}[/tex]
[tex]y = 70[/tex]
Assume [tex]y = 70[/tex], we make use of:
[tex]x = 180 - 2y[/tex]
[tex]x = 180 - 2 * 70[/tex]
[tex]x = 180 - 140[/tex]
[tex]x = 40[/tex]
A clothing store donated a percent of every sale to charity. The total sales were $8850, so the store donated $531 what percent of $8850 was donated to charity?
Answer:
6%
Step-by-step explanation:
[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]
A bakery uses 6 cups of flour for each batch of bread and spread another cup of flour on the counter write an algebraic expression using C to represent the cups of flour that are used.
Answer:
6c = b
Step-by-step explanation:
6 cups of flour for each batch of bread, so 6c;
b is the batch of bread.
So basically,
6c = b
A local sandwich shop
received an order for
35 turkey sandwiches,
30 chicken sandwiches,
And 35 vegetarian
sandwiches. If each of the
four cooks made an equal
number of sandwiches, how
many did each cook make?
similfy the following ratio 1) 20:45 2) 12:32:20 3) 5m:350cm
Answer:
1) 20/45= 4/9=4:9
2) 3:8:5
3) 10:7
Can someone please help me!
Answer:
A)
Step-by-step explanation:
it is clearly reduced so you can eliminate the middle two options as answers;
reduction is always going to be a value less than 1 because a value greater than 1 would not be a reduction
There is a photo please help quick.
Answer:
B
Step-by-step explanation:
1/4 + 2/3
(3+8)/12
11/12