Using the normal distribution, it is found that 59.09% of students scored above 75 points.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is [tex]\mu = 76.4[/tex].The standard deviation is [tex]\sigma = 6.1[/tex].The proportion of students who scored above 75 points is 1 subtracted by the p-value of Z when X = 75, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 76.4}{6.1}[/tex]
[tex]Z = -0.23[/tex]
[tex]Z = -0.23[/tex] has a p-value of 0.4091.
1 - 0.4091 = 0.5909
0.5909 = 59.09% of students scored above 75 points.
You can learn more about the normal distribution at https://brainly.com/question/24663213
The Statue of Liberty is approximately 300 feet high, including the base upon
which the statue stands. If the base is 150 feet high, what percent of the total
height is the statue itself?
Answer:
The state itself is 50% of the total height.
Explanation:
Well, if the height including the base is 300 ft, that'd mean the total height of the statue itself is (300-150) ft = 150 ft.
Thus, it is (150/300)*100% = 50% of the total height.
How many significant figures are in the measurement 1. 050 L? a. 1 b. 2 c. 3 d. 4.
Answer:
C) 3
Step-by-step explanation:
The number of significant figures in a measurement basically means how many decimal digits there are after the decimal point. Since the decimal portion of the measurement is 050, there are 3 digits, so there are 3 significant figures in the measurement
You are given the same circumstance as in the previous problem and, once again,VW is the midsegment of RSt what is VW
Answer:
9
Step-by-step explanation:
The reason is from the triangle midsegment theorem in which the midsegment end up being half of the third side knowing that Rt is 18cm then VW is 9
Really need help and ALL CAPS NO SPACES
Step-by-step explanation:
1. [tex]x+6 + 3x + 2 + 2x + 4[/tex]
Combine Like Terms:
Answer: [tex]6x+12[/tex]
G
2. [tex]6x + 4 + 7x + 1 + 5x + 7[/tex]
Combine Like Terms:
Answer: [tex]18x+12[/tex]
B
3. [tex]4x-3 + 3x + 5x - 6[/tex]
Combine Like Terms:
Answer: [tex]12x-9[/tex]
I
4. [tex]6x - 8 + 3x + 7 + 5x - 3[/tex]
Combine Like Terms:
Answer: [tex]14x-4[/tex]
H
Your code is, GBIH
HELP BEFO 7 PLEASE...
hurry xdd A store had apples on sale for $1.20 a pound. Joan spent $5.28 on apples. How many pounds did she buy?
Answer:
4-6 not sure where but around 4-6 maybe 5 pounds
Step-by-step explanation:
hope this helps
Answer:
Its 4.4 pounds.
Step-by-step explanation: To find the answer you would just divide the amount she spent and the price per pound.
Answer this question please!
If there are 8 boys and 56 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:
1:7 , 2:14, 4:28, 8:56
Step-by-step explanation:
Ratios act just like fractions, because of this, you can simplify ratios just as you would simplify a fraction. In addition, because they asked for the ratio of boys to girls, we know that they want the (number of boys): (number of girls)
HOPE THIS HELPS!!!
Expand and simplify this equation plz, 4(3x+5) - 5(8x+2)
[tex]4(3x + 5) - 5(8x + 2) \\ 12x + 20 - 40x - 10 \\ 12 x - 40x + 20 - 10 \\ - 28x + 10[/tex]
Select the outlier in the data set.
then
If the outlier were removed from the data set, would the mean increase or decrease?
====================================================
Explanation:
The set of given numbers sorts to this
11, 50, 72, 78, 80, 81, 85, 89, 94, 96, 97, 98
The majority or main cluster of the values are between 50 and 98. The outlier 11 is off on its own pretty far from the main cluster.
Let's find the mean of every value in this set. If you added up all the numbers, then you should get 931. Divide this over the number of values (12) and the mean of this set is roughly 931/12 = 77.5833
Now let's kick out the outlier 11. The 931 will drop to 931-11 = 920. Divide that new smaller sum over the 12-1 = 11 items left to get 920/11 = 83.6364 approximately.
--------------
To summarize so far:
old mean = 77.5833 approximatelynew mean (removed outlier) = 83.6364 approximatelyWe see that the mean has increased. This is because the outlier was pulling down on the mean to make it smaller than it should be. Once the outlier is out of the picture, the new mean will increase and better represent the center of the main cluster.
may someone help me with this pls
Answer:
PQRS - a parallelogramGHJI - not necessarilyRSUT - a parallelogramABDC - a parallelogramStep-by-step explanation:
A parallelogram has these characteristics that can be useful for answering this question:
opposite sides are the same lengthopposite sides are parallelthe diagonals bisect each other__
PQRSOpposite sides are the same length: a parallelogram
__
GHJITwo isosceles triangles share a base segment. Not necessarily a parallelogram.
__
RSUTThe diagonals bisect each other: a parallelogram
__
ABDCOpposite sides are parallel: a parallelogram. We know BD║AC from the converse of the alternate interior angles theorem. AB and CD are marked parallel.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
Missing denominator = 36
Step-by-step explanation:
Let us assume that,
→ Missing denominator = x
Now we have to,
→ Find the required value of x.
Forming the equation,
→ 27/x = 3/4
Then the value of x will be,
→ 27/x = 3/4
→ 27 × 4 = 3 × x
→ 108 = 3x
→ 3x = 108
→ x = 108/3
→ [ x = 36 ]
Hence, the value of x is 36.
Please answer. I will give brainliest.
Answer:
1/2b - 5 (the third one)
Step-by-step explanation:
"Denni is five years less..."
this tells us we will need to be subtracting five, which knocks out the other answers.
"..one-half his brothers age."
since b represents the age of his brother, one half his brothers age is 1/2b
That leaves us with 1/2b - 5
the outer diameter of a spherical shell is 10 cm and the inner diameter is 9 cm . find the volume of the metal used in the shell
Three-dimensional objects
the outer diameter: 10 cm, r₁ = radius = 5 cm
the inner diameter: 9 cm, r₂ = 4.5 cm
volume of metal:
[tex]\tt =\dfrac{4}{3}\pi(r_1^3-r_2^3)\\\\=\dfrac{4}{3}\pi(5^3-4.5^3)\\\\=141.952\:cm^3[/tex]
Paulo has R$45.00 and Carlos has 5/9 of that amount. How many Carlos has? How many do the two have together?
We are given –
Paulo has R$45.00 and Carlos has 5/9 of that amount.We are asked to find, how much Carlos owns and how much they have together.
Explanation :-
At first, we just need to multiply 45 by 5, and then we will divide the value by 9, so we find that:
[tex]\qquad[/tex][tex] \bf \longrightarrow 45 \times 5 = 225[/tex]
[tex]\qquad[/tex][tex] \bf \longrightarrow \dfrac{225}{9} = 25[/tex]
Therefore, we find that Carlos has 25 R$.Now to find out how much they have together. We have to add Paul's amount to Carlos' amount for that.
[tex]\qquad[/tex][tex] \bf \longrightarrow 25 + 45 = 70[/tex]
Henceforth, they both have 70 R$. together.Show and explain how you will estimate the answer to the problem 4 3/8 + 5 6/10. • Explain in sentence form. Find the estimated answer to the problem.
no links pls this is important im also timed
Answer:
4 (3)/(8) + 5(6)/(10)
Step-by-step explanation:
4 3/8= 35/8
5 6/10 = 28/5
= 9 39/40
Answer:
did yall ever find the answer
Step-by-step explanation:
16
Given the circle,
M
X
80°
4
ү°
A
25°
2
N
8
What is the value of y?
y=
degrees
Answer: the asnwer is 80 degrees
Step-by-step explanation:
Carla has 22% of her paycheck taken for taxes. If the amount taken for taxes is $136.40, what is the amount of Carla's paycheck before taxes are taken out
Answer:
$620
Step-by-step explanation:
The graph represents a map where each unit is 0.75 miles. Use the map to answer the question. Round to the nearest hundredth, if necessary.
How many miles is the most direct path from Jim's house to the mall?
(HINT: That means when you get the length of what they're asking for, you're going to multiply it by 0.75.)
Answer:
Try 11.25 miles
Step-by-step explanation:
linear equation in point slope form for a line that passes through the point (3,2) and has a slope of -4
Answer:
(c) y-2 = -4(x-3)
Step-by-step explanation:
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . . line through point (h, k) with slope m
For (h, k) = (3, 2), and m = -4, the equation of the line is ...
y -2 = -4(x -3)
will stopped by the grocery store for his wife he bought a pizza for 5.99 and 3 avacodos his total was 8.54 write an equation to find the cost if each avacodo
Answer:
each avocado is 0.85 cents
Step-by-step explanation:
you will subtract $8.54 and $5.99 and you will get $2.55 then, when you get that and you will divide $2.55 by 3 and the total will come out to 0.85 so that means that each avocado is 84 cents
When both equations begin with y='s you
A- E LIM ININATE ONE PROBLEM
B - YOU DO GUESS AND CHECK FOR ONE PLUG INS
C - YOU SET BOTH EQUATIONS UP EQUALTO EACH OTHER
The three sides of AJKL
measure 11.2 feet, 21 feet, and
23.8 feet. IS AJKL an acute,
right, or obtuse triangle?
Answer:
right triangle
Step-by-step explanation:
I find it convenient to answer questions like this by computing a "form factor" that subtracts the square of the long side from the sum of the squares of the shorter sides. The sign of this value is the sign of the cosine of the largest angle in the triangle.
f = a² +b² -c²
f = 11.2² +21² -23.8²
f = 125.44 +441 -566.44 = 0
The cosine of the largest angle is 0, so that angle is 90° and the triangle is a right triangle.
The difference between two numbers is 10 and their sumis four times the smaller number. Find the two numbers.
Answer:
5 and 15
Step-by-step explanation:
15+5=20
5x4=20
-15 equals an unknown number
tripled.
Answer:
The unknown number is -5
Step-by-step explanation:
Let n represent the unknown number then...
3n=-15
Divide both sides by 3
(3n)/(3)=(-15)/(3)
n=-5
You had a bag of fruit snacks that you shared with 4 friends. Each of you got at most 6 fruit snacks. The inequality x÷5≤6 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag.
Answer: The possible numbers of fruit snacks that were in the bag is x < 18
Step-by-step explanation: Good luck :D
A student graphed f(x) = x and h(x) = f(x + 5) on the same coordinate grid. Which statement describes how the graphs of f and are related? helpppp
Answer:
Here we have a problem with translations, where we define a translation as an operation that moves the graph of a function in a given direction.
We will see that the correct option is A.
"The graph of f is shifted 3 units up to create the graph of g."
To get this, we first need to describe vertical translations.
For a function f(x) we define a vertical translation (or vertical shift) of N units as:
g(x) = f(x) + N
If N is positive, the translation is upwards
if N is negative, the translation is downwards.
So here we have:
g(x) = f(x) + 3
So we can see that this is a translation of 3 units upwards, then the correct option is A, the graph of f(x) is shifted (or translated) 3 units up to greater the graph of g(x).
And the graphs of g(x) = x + 3 and f(x) = x can be seen below, where you can see this, where the grey line is g(x).
Step-by-step explanation:
It
z²+1/z3= 34, find
z3+1/z3 using only
positive value of z+1/z
Answer:
5330
------------
73
Step-by-step explanation:
1- Transform the expression
2- Calculate
how to do this
y = 2x − 1
y = −4x − 7
Answer: ur answer would be 27283
Step-by-step explanation:
What is equivalent to 4x -8? a: 2 (2x - 6) b: 2 (2x - 4) c: x - 8 + 3x
Answer:
The answer is b) 2(2x-4) and c)
Step-by-step explanation:
Okay lets try a) 2(2x-6)
2 x 2x - 2 x 6= 4x-12
b) 2(2x-4)
2 x 2x - 2 x 4=4x-8
c) : x-8+3x
x+3x-8=4x-8