Using the normal distribution, it is found that the prediction is that the largest number of people would receive an IQ score of 100 on that test.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.IQ scores have mean of 100, and since in the normal distribution most measures are around the mean, an IQ score of 100 is the prediction.
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PLEASE HELP 20 POINTS + BRAILYEST!!!
(no links please)
The triangle is the picture down below.
Bonnie has a really yummy sandwich that is shaped like a right triangle. There is a 3 in. line, a 5 in. line, and there’s another line that is unknown. How would solve this problem by using the Pythagorean theorem to find the missing length of one of the lines? Be sure to show all of your work.
Answer:
4 in
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides. Solve this problem by writing that relationship using the given information, then solving the equation for the missing side.
__
5² = 3² + ?²
25 = 9 + ?² . . . . . simplify
16 = ?² . . . . . . . . . subtract 9
4 = ? . . . . . . . . . . . take the square root
The missing length is 4 inches.
[tex] \huge\green{\overline{\underline{\rm{\purple{꧁⫷ᴀɴsᴡᴇʀ⫸꧂ }}}}} [/tex]
[tex] \large\green{\overline{\underline{\rm{\red{•••••••••••••••••••••••••}}}}} [/tex]
[tex] 5^2 = 3^2 + ( \:)^2 [/tex]
[tex] 25 = 9 + (\:) ^2 [/tex]
[tex] 16 = (\:) ^2 [/tex]
[tex] \sf \green {{=4}} [/tex]
[tex] \large\green{\overline{\underline{\rm{\blue{•••••••••••••••••••••••••}}}}} [/tex]
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Which of the following is NOT a statistical question?
A) How many pets are owned by my uncle?
B) How many pets are adopted in a pet store each week?
C) How many pets are owned by the individual teachers in my school?
D) How many pets are owned by the individual students in a karate class
Answer:
A) How many pets are owned by my uncle.
Step-by-step explanation:
This question is NOT statistical because it has a definite answer.
There is one number that can represent how many pets are owned by let's say your uncle.
On the other hand, B, C, and D compare two different things.
Hope this helps!
need the answer please help
Answer:
the 2nd option
Step-by-step explanation:
given a quadratic in standard form : y = ax² + bx + c (a ≠ 0 )
• if a > 0 then minimum turning point
• if a < 0 then maximum turning point
the graph here has a minimum turning point , so
the function has a positive leading coefficient.
the function is symmetrical about the y- axis , so is of even degree
the function has 1 turning point at (0, 2 )
the graph does not cross the x- axis so has 0 x- intercepts
What is the first step when rewriting y = 6x2 18x 14 in the form y = a(x – h)2 k? 16 must be factored from 18x 14 x must be factored from 6x2 18x 6 must be factored from 6x2 14 6 must be factored from 6x2 18x
The first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms
Writing an equation in vertex formThe standard vertx form of an expression is given as y = a(x – h)^2 + k
Given the quadratic expression given as:
y = 6x^2 + 18x+ 14
Before a quadratic equation can be transformed to its vertex form, the coefiicient of x^2 must be 1.
To do that, you will factor out 6 from the first two terms to have:
6(x^2 + 3x) + 14
Hence the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms
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The first step is factoring out the 6 from the 6x2 + 18x.
A triangular prism is shown below. What is the volume of the prism in cubic centimeters? Group of answer choices
A.168
B.840
C.280
D.336
please ayudar -2x + 6 ≤ 41 + 3x
Answer:
x => -7
Step-by-step explanation:
to solve this equation you should start by subtract 6 on both sides
-2x <= 3x + 35
then subtract 3x to both sides
-5x <= 35
then you divide both sides by -5
x => -7
you must change the signs because you multiplied it by a negative
(urgent) help! pic is below, its either A or B!
Answer:
Airplane A.
Step-by-step explanation:
find the root of 6x^2+13×+6=0 using graphical method of quadratic equation
Answer....
Ok done. Thank to me >:33
What is the solution of log(3x+4)^125 = 3? (3x+4) is the base. 125 is the argument.
x=1/3
x=1
x=7/3
x=4
Answer:
x = 1/3
Step-by-step explanation:
[tex] = > log_{(3x + 4)}125 = 3[/tex]
[tex] = > {(3x + 4)}^{3} = 125 \: ( \because \: log_{a}b = x = > {a}^{x} = b)[/tex]
[tex] = > 3x + 4 = \sqrt[3]{125} = 5[/tex]
[tex] = > 3x = 5 - 4 = 1[/tex]
[tex] \therefore \: \: x = \frac{1}{3} [/tex]
Hope you've understood the solution.
Please solve for X and Y
CCan you make it visible to see, please!CCan
Please help ASAP!
Will try to give brainliest!
Hey!
Q19.80÷0.35= 28Therefore, he sold 28 cups of lemonade
I'm sorry, not very sure about the second one. But I think 100 maybe not!Bao sold 28 cups and spend $2.5 on 50 cups.
What are words problems?A word problem in math is a math question written as one sentence or more that requires children to apply their math knowledge to a 'real-life' scenario.
Given that, Bao is selling lemonade at $0.35 per cup.
We need to determine, number of cups he sold if he earned $9.80,
And,
Bao bought 50 paper cups for $0.50 each, how much he spent on them,
1) Let he sold x cups,
So,
0.35x = 9.8
x = 28
Therefore, he sold 28 cups.
2) Since, one cup is for $0.05 therefore,
50 cups = 50 x 0.05
= $2.5
Therefore, cost of 50 cups is $2.54
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the picture below is my question please hurry
Answer:
B) 70 °
Step-by-step explanation:
Given that the triangles AOC and BOC are congruent, the triangles OA and OB are likewise congruent and both represent the radius of a circle. Geometry tells us that an angle formed by two radii that are parts of two congruent triangles has the following dimensions:
m ∠ AOB = 2 · x (1)
Where x is the measure of angle BOC, in degrees.
And the measure of the angle AOC is: ( x= 70°)
∠ AOC = 70°
Which shows the correct solution to the inequality StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p? StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative StartFraction 37 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative StartFraction 37 over 40 EndFraction.
Answer:
The answer is C
Step-by-step explanation:
Everly's age is 2 years more than 3 times Gage's age .If Everly is 23 years old, which equation represents how to find Gage's age ?
A 2e + 3 =23
B 2 e - 3 = 23
C 3e + 2 =23
D 3 e -2 = 23
need help please .
Answer:
Solution: C
Equation to find Gage's age: 3g + 2 = 23 (where g is Gage's age)
Step-by-step explanation:
Let e = Everly's age
Let g = Gage's age
Given:
Everly's age is 2 years more than 3 times Gage's age:⇒ e = 3g + 2
Given
Everly is 23 years old⇒ e = 23
Combine the equations to create an equation to find Gage's age:
⇒ 3g + 2 = 23
To find Gage's age, solve the equation for g:
⇒ 3g + 2 = 23
⇒ 3g = 21
⇒ g = 7
Therefore, Gage is 7 years old
D) If Clarissa pays $84 to buy a watch after a
discount of 20%, find the original price of the
watch
Answer:
$100.80
Step-by-step explanation:
84 * 1.20 (120%) is 100.80
Answer:100.8
Step-by-step explanation:
0.2x84=16.8 so 16.8 is the discount.
84+16.8=100.8
4. Arthur invests $5,000 in a savings account that earns 3% interest per year. Egn:
Answer:
I don't know the amount of years you need, but the formula to find this would be 5000(1.03x) with "x" representing the number of years
10. A company is designing a new cylindrical water bottle. The volume
of the bottle is 103 cubic centimeters. What is the radius of the
water bottle? Estimate using 3.14 for , and round to the nearest
hundredth.
The radius of the water bottle to the nearest hundredth is 2.01 cm
How to calculate the volume of a cylinderA cylinder is a solid figure with circular bases and height.
The volume of a cylinder = πr²h
h is the height = 8.1cm
Volume = 103 cubic cm
Substitute into the formula to have
V = 3.14r² * 8.1
103 = 3.144 * 8.1 * r²
r = 2.01 cm
Hence the radius of the water bottle to the nearest hundredth is 2.01 cm
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Rodney’s salary increased by 15% to $48,000 annually. What was his pay before the increase?
Answer:
$41739.13
Step-by-step explanation:
We will start by creating an equation for the problem.
Set Rodney's salary before the increase as [tex]x[/tex].
Changing the 15% to a decimal and making sure it's an increase we get 1.15
If we work backwards we get the equation:
[tex](1.15)x=48000[/tex]
[tex]\text{Solving for } x\text{ we divide }48000 \text{ by } 1.15 \text{ and we get the answer of } 41739.13[/tex]
Explain why 5.12 x 4 equals 20.48 with numbers.
Answer: 20.48
Step-by-step explanation: you add 5.12 four time then you get 20.48.
a = 28, d = 10 Find the 30th term
Answer:
318
Step-by-step explanation:
Arithmetic sequence:
a = 28 ; d = 10 & n = 30
[tex]\boxed{a_{n}=a +(n-1)d}[/tex]
a₃₀ = 28 + (30 - 1)*10
= 28 + 29 *10
= 28 + 290
= 318
help me if you can please?? and thanks! :)))
Answer:
0.0095
Step-by-step explanation:
= 0.009455 ( as they are bigger than 4 )
= 0.0095
x=[ ? ]°
х
x
What is the answer?
Answer:
x = 60
Step-by-step explanation:
Because the triangle looks like an equalateral triangle meaning all sides and angles are congruent
So triangle equals 180 degrees and 60 times 3 equals 180
Step-by-step explanation:
x + x + x = 180° ( sum of interior angle of triangle is 180°)
3x = 180°
x = 180° / 3
x = 60°
How can you rewrite (z ≤ −1.75) in order to find the answer?
We can rewrite (z ≤ −1.75) in order to 4%.
We have given that (z ≤ −1.75).
We have to use the Normal Distribution is symmetrical
What is the Normal Distribution is symmetrical?The normal distribution is symmetric and has a skewness of zero.
[tex]P(z \leq -1.75)[/tex]
[tex]P(z > > 1.75)[/tex]
[tex]1 - P(z \leq 1.75)[/tex]
[tex]1 - 0.9599[/tex]
[tex]0.04001 \times 100=4.001 \%[/tex]
That is nothing but the 4%
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Answer:
D: 1 - P(z [tex]\leq[/tex] 1.75).4%Step-by-step explanation:
At Fairview Middle School, 75 band members need to raise a total of $8,250 for a trip. So far, they have raised $3,120.
How much money, in dollars, per band member, still needs to be raised for the trip?
The entire band decides to have a concert to raise the money for the trip. Tickets for the concert will cost $7.50 each.
A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip.What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?
How much money, in dollars, per band member, still needs to be raised for the trip?
$68.40A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip. What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?
456 ticketsFind the measure of angle 4
689
44
68
90
136
Answer:
90 degrees
Step-by-step explanation:
It is a right angle
Please explain this to me step by step. Thanks!
Answer:
Step-by-step explanation:
14) Amount in Harper's school lunch account = $ 75
Cos of one meal = $ 3.25
Cost of 'm' meals = 3.25 * m = 3.25m
Balance amount in Harper's account after getting 'm' meals = $ 19.75
Total amount - Cost of 'm' meals = 19.75
75 - 3.25m = 19.75
To find the value of 'm', isolate m. To isolare m subtract 75 from both sides
-3.25m = 19.75 - 75
-3.25m = -55.25
Now divide both sides by (-3.25)
m = -55.25/(-3.25)
m = 17
15) Starting height = 24 ft
Height after t seconds = 4.5*t = 4.5t
To see the river, the drone should reach the height atleast 330 ft above the ground. ⇒ It should be at the height greater than or equal to 330 ft
Initial height + height after 't' seconds ≥ 330
24 + 4.5t ≥ 330
Subtract 24 from both sides
4.5t ≥ 330 - 24
4.5t ≥ 306
Divide both sides by 4.5
t ≥ 306/4.5
t ≥ 68
He will be able to see the river from 68 seconds ( 1 minute 8 seconds) and above.
No, Imani will not be able to the river after the drone has been raising for one minute. At 1 minute 8 seconds Imani will start seeing the river. So at one minute, the drone will not have reached the required height .
7 Anton has some money saved for school. To increase the amount he has
saved, he got a job and added all the money earned to the amount already
saved.
I
• Anton was paid a constant rate in dollars per hour at his job.
• After working 10 hours, the amount he had saved was $450.
• After working 20 hours, the amount he had saved was $600.
Anton did not save any other money or spend any of the money he
had saved.
Which equation represents y, the amount of money in dollars Anton would
have saved after working x hours?
Select one answer.
Section 4
A y = 10x + 150
B y = 15x + 100
C y = 15x + 300
The linear function that represents the amount of money in dollars Anton would have saved is given by:
C y = 15x + 300
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Taking the amounts from 10 and 20 hours, it is found that in 10 hours he saves $150, hence the slope is given by:
m = 150/10 = 15.
Considering that after working 10 hours, the amount he had saved was $450, and he saves $150 in 10 hours, his initial amount was given by:
b = 450 - 150 = 300.
Thus, the equation is given by:
y = 15x + 300.
Which means that option C is correct.
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Determine the oreadred pair for (-10,3) when it has been reflected over the y-axis
Answer:
(10 , 3)
Step-by-step explanation:
When you reflect over the y-axis, you are flipping the sign of the x-coordinate.
Likewise, when you reflect over the x-axis, you are flipping the sign of the y-coordinate.
In this case, you are reflecting over the y-axis, and the pair given to you is (-10, 3). When you reflect over the y-axis, you must flip the sign of the x-coordinate.
(-10 , 3) reflected over the y-axis is (10 , 3).
~
Multiply
−3/10xy (60xy^6)
[tex]-\frac{3}{10}xy (60xy^{6} )[/tex]
Answer:
[tex] - 18 {x}^{2} {y}^{7} [/tex]
Step-by-step explanation:
[tex] - \frac{3}{10} xy(60x {y}^{6} ) = - \frac{3}{10} (60) \times x \times x \times y \times {y}^{6} \\ = - 18 {x}^{2} {y}^{7} [/tex]
does anyone know what mathia is?
Answer:
I think its some sort of learning platform. Search it up.
Step-by-step explanation: