Answer:
70.06
Mean score = 70
Step-by-step explanation:
16% of students scored higher than 80 on a recent normally distributed exam the standard deviation is 10 what is the mean
For a normal distribution :
Zscore = (x - mean) / standard deviation
x = score
P(Z > 80) = 16% = 0.16 ; corresponding Zscore = 0.994 (Z probability calculator)
Therefore ;
0.994 = (80 - mean) / 10
0.994 * 10 = 80 - mean
9.94 = 80 - mean
Mean = 80 - 9.94
Mean = 70.06
Hence, the mean score = 70.06 = 70
An Olympic
swimming pool
holds 660,000
gallons of water.
325,000 gallons
per second fall
from Victoria
.Falls
How many
seconds will it
take to fill up
an Olympic
pool with
Victoria Falls
How many seconds will it take to fill up an Olympic pool with Victoria Falls?
The volume of water pouring from Victoria Falls is enough to fill an Olympic swimming pool in around 2.03 seconds.
What is volume?Volume, measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.
To find out how many seconds it will take to fill up an Olympic swimming pool with the amount of water falling from Victoria Falls, we need to divide the total amount of water in the pool by the amount of water falling per second:
660,000 gallons ÷ 325,000 gallons/second ≈ 2.03 seconds
Therefore, it would take approximately 2.03 seconds to fill up an Olympic swimming pool with the amount of water falling from Victoria Falls.
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an administrative assistant at a software company often provides breakfast when there is a morning meeting. for last weeks sales, she purchased 3 dozen doughnuts and 5 dozen croissants, spending a total of $60. in preparation for yesterday's safety meeting, she spent $65 on 4 dozen doughnuts and 5 dozen croissants. assuming she purchased the items at the same bakery both times, how much does a dozen of each cost?
Answer:
donuts: $5.00
croissants: $9.00
Step-by-step explanation:
c - croissants
d - donuts
(1) 3d + 5c = 60
(2) 4d + 5c = 65
solve for 5c in equation (1)
5c = 60 -3d
substitute 5c = 60-3d into (2)
4d + (60 - 3d) = 65
d + 60 = 65
d = 5
to find c substitute d = 5 into (1)
3(5) + 5(c) = 60
15 + 5c = 60
5c = 45
c = 9
The ________ makes geometry easier to understand from a description of their properties and provides the foundation from which geometry is built.
Answer:
The make geometry easier to understand from a description of their properties and they provide the foundation from which geometry is built. provide clear meaning by identifying classifications and specific characteristics of those figure, process or idea that need to be distinguished and defined.
There are a lot of works in math. The undefined terms makes geometry easier to understand from a description of their properties and provides the foundation from which geometry is built.
What is a geometry axiom?Axioms are known to be statements made about a set of real numbers. Note that real numbers are a vital part of geometry when it comes to taking figures, axioms are very important.
Geometric Mathematical Structures is known to be a Greek words “geo” that connote “earth” and “metria” meaning “measurement”.
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can someone please help me
Answer:
It would be 1 since x is directly = to y
Step-by-step explanation:
Find the volume of the cone in terms of pi.
405TT cm3
324TT cm3
72TT cm3
Answer:
324πcm³
Step-by-step explanation:
Volume=⅓πr²h
⅓*π*9²*12
=324πcm³
The Martins' swimming pool is a square
and is in the center of a square plot that
is 34 meters on a side. They have 1,092 square meters of lawn.
How long is one side of the pool ?
Answer: 8
Step-by-step explanation:
x^2 = (34•34)-1,092
x^2= 1,156-1,092
x^2= 64
x=8
can anyone help me, i need like 6 more of these i’ll mar brainliest
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Answer: 2 Squareroot(2)
Explanation:
I hope this helped!
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a quadrilateral with opposite sides both parallel and congruent.
Factor by grouping plss help
Answer:
(5 x + 7)(x^2 + 3)
The area of a trapezoid is (1/2)h(b1 + b2). A trapezoid has an area of 50 in2. If the bases are 12 and 8 inches, what is the height?
Answer:
5 in.
Step-by-step explanation:
Given that
b1 = 12
b2 = 8
A = 50
Formula is (1/2)h(b1 + b2), on substituting
50 = 1/2 * h(12 + 8)
50 = 1/2 * h(20)
100 = 20h
h = 100/20
h = 5
The height is 5 in
Plzzz help!!! ill givee brainliest!!!!
A student attempted to generate an equivalent expression using the distributive property, as shown below: 2(x + 5) = 2x + 5 What was the mistake made? (5 points) a 2 was not multiplied by x b 2 was not multiplied by 5 c Incorrect sign was used for the first term d Incorrect sign was used for the second term
Answer:
b) 2 was not multiplied by 5
Step-by-step explanation:
Correct answer: 2x + 10
NO LINKS OR I WILL REPORT but helppp plsss A triangle has two sides of length 3 and 3. What value could the length of the
third side be? Check all that apply.
========================================================
Explanation:
We have a triangle with sides a,b,c where a = 3 and b = 3 are given. The side c is unknown, but using the variation of the triangle inequality theorem allows us to say the following:
b-a < c < b+a
3-3 < c < 3+3
0 < c < 6
The missing side c is between 0 and 6 units long, but cannot be equal to 0 and can't be equal to 6 either. Therefore, the answers must be A) 4, C) 5, and D) 2. All of these values satisfy the inequality 0 < c < 6.
Something like c = 12 is too large. I recommend cutting out two slips of paper that are 3 inches long, and you'll find it impossible to form a triangle that has a third side of 12 inches. The longest side you can form is 3+3 = 6 inches, but you wouldn't have a triangle at that point (it would be a straight line instead). This is a visual way to rule out choice E, and it also rules out choices B and F for similar reasoning.
i’ve been trying on this question but in struggling. please help me
Answer:
[tex]x \geq 15[/tex]
Step-by-step explanation:
Solving an inequality is very similar to solving an equation, one uses inverse operations. The only major difference between the two is that when one multiplies or divides an inequality by a negative number, one must remember to flip the inequality sign to ensure that the inequality remains true. In this situation, such a rule does not come into play.
[tex]\frac{x}{5} - 8 \geq -5[/tex]
Inverse operations,
[tex]\frac{x}{5}-8 \geq -5\\ +8\\\\\frac{x}{5} \geq 3\\*5\\\\x \geq 15[/tex]
It’s due in 2 minutes
Answer:
m a t h w a y
Step-by-step explanation:
The population of Sanibel, Florida can be modeled by P= 6191 . 1.054, where t is the number of years since 2016.
A. What was the population in 2016?
B. What percent did the population increase by each year?
40 points if u answer
Answer:
A 5873.814042
B 90%
Step-by-step explanation:
What is the value of variable for -4(y - 2) = 12
Explain please
Answer:
-4(y - 2) = 12
Standard form:
−4y − 4 = 0
Factorization:
−4(y + 1) = 0
Solutions:
y = −4
4
= −1
Step-by-step explanation:
What's the ratio? please help! Urgent!
Answer:
13:5
Step-by-step explanation:
Messy played 65 minutes while the substitute played 25 minutes. This ratio is 65:25 and can be simplified to 13:5.
7.2 puzzle time did you hear about the smog worksheet 8th grade answer key
Answer: I Don't Know
Factor out the GCF from the given polynomial. 10^3 + 16^2 - 18x 10^3 + 16^2 - 18x = (Type your answer in factored form.)
Correct question is;
Factor out the GCF from the given polynomial. 10x³ + 16x² - 18x. (Type your answer in factored form.)
Answer:
GCF = 5x² + 8x - 9
Step-by-step explanation:
The given polynomial is;
10x³ + 16x² - 18x
First thing is to inspect the coefficients and see the greatest number that all three can be divided by evenly without remainder.
The greatest number is 2.
Secondly let's inspect the variables to see what we can factor out.
They all contain x. Thus, x is a factor.
Thus, we will divide each term by 2x to obtain the GCF of the polynomial.
GCF = (10x³/2x) + (16x²/2x) - (18x/2x)
GCF = 5x² + 8x - 9
Help. Please. It’s due today.
Answer:
P = 31.6
Step-by-step explanation:
distance of AB and CD is 5 units each (used Distance Formula)
distance of BC and AD is [tex]\sqrt{117}[/tex] units each (used Distance Formula); which is
6[tex]\sqrt{13}[/tex]
2(6[tex]\sqrt{13}[/tex]) + 10 = 31.6
WILLL GIVE BRANLIEST PLSSSSSSSSSSSSSSSSSSSS
Answer:
100°
Step-by-step explanation:
If my calculations are correct, I suppose the final answer will be 100 degrees.
If you see it, It's clearly mirrored.
Number 8 please help 10 points no links pleAse
Item 3 There is a 40% chance that weather causes one or more days of school to be canceled each year. Use the table of simulated values to find the experimental probability that weather will cause a school to be canceled in at least three of the next four school years. Use the digits 1 through 4 as years with a cancellation.
The experimental probability is____%
Answer:
16%
Step-by-step explanation:
Simplify the following ratios
of 350:400
Answer:
Step-by-step explanation:
The simplest form is 78.
Find the value of x.
Answer:
x=77°
Step-by-step explanation:
All quadrilaterals' interior angles sum to 360°, so to solve one angle in the trapezoid, we can subtract the angles we have from 360.
So x=360-(60+128+95)=77°
x=77°
What is the area of triangle ABC?
Select the correct choice.
A: 6sqrt3
B: 18sqrt3
C: 36sqrt3
D: 72sqrt3
Answer:
C
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
The triangle is equilateral , since 3 angles = 60°
Then base AB = 12
Find height CD using the sine ratio in the right triangle ( there are 2 )
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CD}{BC}[/tex] = [tex]\frac{CD}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ← exact value of sin60° ( cross- multiply )
2CD = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
CD = 6[tex]\sqrt{3}[/tex]
Then
A = [tex]\frac{1}{2}[/tex] × 12 × 6[tex]\sqrt{3}[/tex] = 6 × 6[tex]\sqrt{3}[/tex] = 36[tex]\sqrt{3}[/tex] units² → C
How many solutions can be found for the equation 12x + 8 = 10x + 18? (4 points)
a
No Solution
b
One
c
Two
d
Infinitely Many
Answer:
b
Step-by-step explanation:
Given
12x+ 8 = 10x + 18 ( subtract 10x from both sides )
2x + 8 = 18 ( subtract 8 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
The equation has one solution
Answer:
B
Step-by-step explanation:
verification
12 x 5 + 8 = 10 x 5 + 18
68= 68
since the answer is 68
it is the only one answer that you can get
Hey! Can someone help me?
Answer:
Option 3
Step-by-step explanation:
The sentence provides the reasoning for a possible explanation.
Now, let's look at all the possible answers:
1. This doesn't show us that scientists cannot agree. A sentence like that could be that many scientists have analyzed the region, but they did not find anything.
2. This does not tell us that this region is interesting. A sentence like that would be saying that the cause of the lightning is unknown.
3. This is correct- it provides evidence for a main theory.
4. This does not explain why people name the lightning a certain way. A sentence like that could be a local fable.
I need help with this, please
Answer:
B
Step-by-step explanation:
The opposite angles in a cyclic quadrilateral are supplementary, sum to 180°
∠ I + ∠ K = 180° , that is
91° + ∠ K = 180° ( subtract 91° from both sides )
∠ K = 89° → B
Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
yes
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
None of the given sides or angles are congruent, so they are not congruent.