Answer:
Raul performed better in the biology test
Step-by-step explanation:
Given
History
[tex]Score = 80[/tex]
[tex]Mean = 70[/tex]
[tex]Standard\ Deviation = 10[/tex]
Biology
[tex]Score = 75[/tex]
[tex]Mean = 70[/tex]
[tex]Standard\ Deviation = 2.5[/tex]
Required
Where did he perform better relative to other students
To do this, we simply calculate the z score in both tests and make comparison.
z score is calculated as thus;
[tex]z = \frac{x - Mean}{SD}[/tex]
For history;
[tex]z = \frac{80 - 70}{10}[/tex]
[tex]z = \frac{10}{10}[/tex]
[tex]z = 1[/tex]
For biology;
[tex]z = \frac{75 - 70}{2.5}[/tex]
[tex]z = \frac{5}{2.5}[/tex]
[tex]z = 2[/tex]
Since the z score in the biology test is greater than that of the history test, then he performed better in the biology test
Help me with this bs
what is (7/4x)+(-3/2y) simplified
Answer:
0.25(7x-6y)
Step-by-step explanation:
the length of a rectangle is 8 centimeters. what is the width?
Answer:
This is a very vague question. We can't find out the width if it doesn't tell us the area. Comment on my answer the area and I can help.
y is directly proportional to the square of x.
When y= 24, x= 2.
Find the value of y when x=4.
Answer:
y= 48
Step-by-step explanation:
X was doubled so i believe this is correct
Have a great day!!!
Together, teammates Pedro and Ricky got 2678 base hits last season. Pedro had 282 more hits than Ricky. How many hits did each player have?
Answer:
pedro- 1621
ricky- 1057
Step-by-step explanation:
. A right cylindrical drum is to hold 7.35 cubic feet of liquid. Find the dimensions (radius of the base and height) of the drum which would minimize the surface area. What is the minimum surface area
Answer:
[tex]r=1.05\ \text{ft}[/tex]
[tex]h=2.12\ \text{ft}[/tex]
[tex]20.91\ \text{ft}^3[/tex]
Step-by-step explanation:
r = Radius
h = Height
Volume of cylinder = [tex]7.35\ \text{ft}^3[/tex]
[tex]V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}[/tex]
Surface area is given by
[tex]A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}[/tex]
Differentiating with respect to radius we get
[tex]\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}[/tex]
Equating with zero we get
[tex]0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05[/tex]
[tex]\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0[/tex]
So, the value of the function is minimum at [tex]r=1.05[/tex]
[tex]h=\dfrac{7.35}{\pi r^2}=\dfrac{7.35}{\pi 1.05^2}\\\Rightarrow h=2.12[/tex]
So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.
Surface area
[tex]A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi \times 1.05^2+2\pi 1.05\times 2.12\\\Rightarrow A=20.91\ \text{ft}^3[/tex]
The minimum surface area is [tex]20.91\ \text{ft}^3[/tex].
The triangles are similar.
What is the value of x?
Enter your answer in the box.
x =
help please! nobody has been answering my questions :( !!!!!!
Which points are 19 units apart?
○(-14, 12) and (5, 12)
○(-5, 19) and (-12, 19)
○(-20, 5) and (5, 12)
○(14, 12) and (5, 12)
Answer:
(20,5) and (5,12) I think
Answer:
A:(–14, 12) and (5, 12)
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
Write an equation of the line with the given slope and y-intercept.
Answer:
A. [tex] y = \frac{1}{4}x + 2 [/tex].
Step-by-step explanation:
Equation of a line in slope-intercept form, is given as [tex] y = mx + b [/tex].
Given a slope (m) of ¼, and y-intercept (b) of 2, we can get the equation if the line by substituting m = ¼, and b = 2 into [tex] y = mx + b [/tex].
Thus, the equation of the line would be:
[tex] y = \frac{1}{4}x + 2 [/tex].
Kameron who is 4.5 feet tall , is outside during recess
Answer: I'm not sure i understand. Are you asking a question or is this just a statement
Step-by-step explanation:
HURRY PLEASE IM TIMED. Which list of numbers is shown on the number line below? A number line going from negative 3 to positive 2. There are 4 equal spaces between each number. A point is halfway between negative 3 and negative 2. A point is between the second and third mark between negative 2 and negative 1. A point is on the mark 1 space to the right of 0. A point is halfway between 1 and 2. Negative 2.5, 1 and three-fourths, 50 percent, 1.5 Negative 2.5, negative 1 and one-third, 50 percent, 1.5 Negative 2.5, negative 1 and three-fourths, 25 percent, 1.5 Negative 2.5, negative 1 and one-third, 25 percent, 1.5
Answer:
It is A The first one
Step-by-step explanation:
Negative 2.5, 1 and three-fourths, 50 percent, 1.5
Pls Mark Brainliest
Answer:
d
Step-by-step explanation:
Edwin has 50$ in his bank.He starts spending $3 each week on snacks at lunch. how many weeks will edwin run out of money?
please HURRY IM ON A QUIZ
if 2 is substituted for x, which expression will NOT equal 5?
Answer:
It will be 2x -1
If x=2
2*2 - 1 = 4 - 1 = 3
Step-by-step explanation:
7 - x If x=2
7 - 2 = 5
11 - 3x If x=2
11 - 3*2 = 11 - 6 = 5
2x -1 If x=2
2*2 - 1 = 4 - 1 = 3
4x - 3 If x=2
4*2 - 3 = 8 - 3 = 5
A triangular plot of land has sides of lengths 420 feet, 330 feet, and 180 feet. Approximate the smallest angle between the sides. The choices are rounded to the nearest degree.
A. 30 degree
B. 27 degree
C. 22 degree
D. 24 degree
Answer:
D. 24 degree
Step-by-step explanation:
Sides of the triangle are
a = 330 ft
b = 180 ft
c = 420 ft
From cosine rule we have
[tex]\angle A=\cos^{-1}(\dfrac{b^2+c^2-a^2}{2bc})\\ =\cos^{-1}(\dfrac{180^2+420^2-330^2}{2\times180\times 420})\\ =48.65^{\circ}[/tex]
[tex]\angle B=\cos^{-1}(\dfrac{a^2+c^2-b^2}{2ac})\\ =\cos^{-1}(\dfrac{330^2+420^2-180^2}{2\times 330\times 420})\\ =24.17^{\circ}[/tex]
[tex]\angle C=\cos^{-1}(\dfrac{a^2+b^2-c^2}{2ab})\\ =\cos^{-1}(\dfrac{330^2+180^2-420^2}{2\times 330\times 180})\\ =107.19^{\circ}[/tex]
The smallest angle in the triangle is [tex]\angle B=24.17^{\circ}[/tex].
Some one please help
I have attached the question
Answer:
a number question's answer is a power 2. and is c power 1
Examine the graph.
Select each interval where the graph is decreasing.
a.−4b. 3c.2d.−1
tan 3( ) tan 3 lim
h
xh x
® h
Answer:
27
Step-by-step explanation:
know that
h = 3
h × h × h
3 × 3 × 3
= 27
what is the awnser to y=3/2x-1
Answer:
On a coordinate graph, make a point at (0, -1)
Move the point up 3 units and right 2 units, and make another point. Continue across the plane and draw the line connecting the dots.
Answer:
Step-by-step explanation:
Jacob has a coin and a spinner with 3 equal sections, one colored red, one colored blue, and one colored green. Which tree diagram best represents all possible outcomes of Jacob spins the spinner once and flips the coin once?
Answer:5y
Step-by-step explanation:
67
Hey how you have a good day !! XD
Stephen's lunch bill is currently at $843. Stephen orders a fruit salad for take out and wants to leave
$2.25 as a tip for his server. He has a $10 bill and a $5 bill. How much change should he receive after
paying for his lunch, the fruit salad, and the tip?
Answer:
1.63
Step-by-step explanation:
Max purchased a solar pool cover for his swimming pool. What is the area of the
solar cover for the swimming pool?
10ft
32 ft
Square Feet
Answer:
320 ft^2
Step-by-step explanation:
please help if u can!!
The entry fee to a fun park is $20. Jackson spent a total of 35 at the park. If z represents the number of rides jackson went on, which equation represents the situation and what is the value of z that makes the equation true?
A= 2.50=35
x=14
B= 2.50z=20
x=8
C= 20z+2.50=35
c=2
D= 20+2.50z=35
x=6
Answer: The answer is d.
Step-by-step explanation:
If the entry amount is $20 then you want to subtract $20 from $35 and that leaves you with $15 now if you divide $15 in $2.50's you get 6
WILL GIVE BRAINLIEST!!
Ignore the $
Meyer rolls two fair, ordinary dice with the numbers $1,2,3,4,5,6$ on their sides. What is the probability that at least one of the dice shows a square number?
Two numbers on each die are squares: 1 and 4. 4 numbers on each die are not squares: 2 , 3, 5, and 6. there are 16 ways for him to roll a non-square die, out of 36 outcomes for the pair of dice. The other 20 options each have a square number showing on one or both dice. So, the probability is 5/9. hope this helps please pick my answer as brainliest, have a good day!
2x {3x [40 - (I0 x 2)]} = ?
the answer its 120 hope helps you
I NEED HELP ASAP PLZZZ
Above, a right triangle is removed from a rectangle. What is the area of the remaining figure?
o 18 in?
31 in
87 in?
96 in
Answer:
87
Step-by-step
length x width=area
12*8=96-9=87
Suppose that the functions q and r are defined as follows.
q (x)=–2x+1
r(x) = 2x²+2
Find the following.
(r og)(-1) = 0
0/6
Х
(q or)(-1) = 0
5
?
Answer:
(r o q)(-1) = 20
(q o r)(-1) = -11
Step-by-step explanation:
Given
[tex]q(x) = -2x + 1[/tex]
[tex]r(x) = 2x^2 + 2[/tex]
Solving (a): (r o q)(-1)
In function:
(r o q)(x) = r(q(x))
So, first we calculate q(-1)
[tex]q(x) = -2x + 1[/tex]
[tex]q(-1) = -2(-1) + 1[/tex]
[tex]q(-1) = 2 + 1[/tex]
[tex]q(-1) = 3[/tex]
Next, we calculate r(q(-1))
Substitute 3 for q(-1)in r(q(-1))
r(q(-1)) = r(3)
This gives:
[tex]r(x) = 2x^2 + 2[/tex]
[tex]r(3) = 2(3)^2 + 2[/tex]
[tex]r(-1) = 2*9 + 2[/tex]
[tex]r(-1) = 20[/tex]
Hence:
(r o q)(-1) = 20
Solving (b): (q o r)(-1)
So, first we calculate r(-1)
[tex]r(x) = 2x^2 + 2[/tex]
[tex]r(-1) = 2(-1)^2 + 2[/tex]
[tex]r(-1) = 2*1 + 2[/tex]
[tex]r(-1) = 6\\[/tex]
Next, we calculate r(q(-1))
Substitute 6 for r(-1)in q(r(-1))
q(r(-1)) = q(6)
[tex]q(x) = -2x + 1[/tex]
[tex]q(6) = -2(6) + 1[/tex]
[tex]q(6) =- 12 + 1[/tex]
[tex]q(6) = -11[/tex]
Hence:
(q o r)(-1) = -11
IF THE RATIO IN A VALENTINE'S
DAY CANDY BOX OF MILK TO DARK
CHOCOLATES IS 23. HOW MANY
DARK CHOCOLATES ARE THERE IF
THERE ARE 8 MILK CHOCOLATES?
Answer:
12 dark chocolates
Step-by-step explanation:
Let there are 2x milk chocolates and 3x dark chocolates.
Total no of milk chocolates = 8
ATQ,
2x = 8
x = 4
Dark chocolates = 3x
= 3(4)
= 12
Hence, there are 12 dark chocolates.
what variable is used to represent SLOPE?
Answer:
M is used to represent the slope.
Step-by-step explanation:
Y = MX + C
Answer:
m is used to represent the slope
Step-by-step explanation:
y=mx+b
What is the area of this rectangle?
2.5 m
2 m
Answer:
5
Step-by-step explanation: