Answer:
(a) z(105)= (105-95)/10
= 1
z(85)= (85-95)/10
= -1
P(85< x < 105) = P(-1< z < 1) = 0.6825
Quantity of people of 1600 that have IQ between 85 and 115 = 0.6825*1600= 1092
(b) z(105) = (115-95)/10 = 2
z(85) = (75-95)/10 = -2
P(-2< z < 2) = 0.6827
quantity of people of 1600 that have IQ between 75 and 115 = 0.6825x1600=1092
(c) Z(>125)=( 125-100)/10=3
The second term of arithematic proggresions 7. and the sum of the first four termd is 12 find
a) first term
b)common difference
Answer:
a) a1=15 first term
b) d=-8 common difference
Step-by-step explanation:
1)a1+d=7
2)a1+a2+a3+a4=12
a1+a1+d+a1+2d+a1+3d=12
4a1+6d=12
2a1+3d=6
We have the system of equations where a1+d=7 and 2a1+3d=6
3a1+3d=21
2a1+3d=6
Subtract the second equation from the first one
a1=15
d=-8
First term = 15
Common difference = -8
Let the first term be a and common difference be d.
Therefore,
a+d = 7 - eq. 1
a+(a+d)+(a+2d)+(a+3d) = 12 - eq. 2
4a + 6d = 12
4a + 4d + 2d = 12
Dividing both sides by 2,
2a + 2d + d = 6
2 (a+d) + d = 6
Substituting value of (a+d) in the above equation,
2*7 + d = 6
d = 6 - 14
d = -8
Substuting value of d in eq. 1
a+d = 7
a + (-8) = 7
a = 7 + 8
a = 15
To learn more about arithematic proggresions:
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Gross income is:
A. the amount of pay after tax and benefit deductions.
B. the amount of pay after tax but before benefit deductions.
C. the total amount of earned salary or wages.
D. the total amount an employer withholds for taxes.
Gross income is: The total amount of earned salary or wages. Option C is the correct answer.
Gross income refers to the total amount of money earned by an individual before any deductions or taxes are taken out. It represents the complete earnings from employment or other sources of income before any adjustments or deductions are made.
Gross income includes the full amount of salary or wages earned by an individual, as well as any additional income such as bonuses, commissions, or tips.
Option A is incorrect because gross income is the total amount earned before tax and benefit deductions are applied.
Option B is incorrect because gross income is not after tax, but rather before any tax deductions.
Option D is incorrect because gross income does not specifically refer to the amount withheld for taxes, but rather the total amount earned before any deductions.
For such more question on Gross income:
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$24000 was deposited in an account. If rate of interest is 15% p.a. compounded annually, then calculate the amount after 2 years.
(a) 5060 (b) 5180 (c) 5290 (d) 5350.
Answer:
Principal=P=24,000
Rate of interest=r=15%
Time=n=2
3
1
years
Here first we take n=2years
A=P(1+
100
r
)
n
where A=Amount and n=number of years
A=24000(1+
100
15
)
2
=24000×
100
115
×
100
115
=Rs.31,740
The amount after 2 years is Rs31,740
Now principal=Rs.31,740
Simple interest for last
3
1
year is
100
PRT
=31,740×
100
15
×
3
1
= Rs.1,587
∴ Amount after 2
3
1
year= Rs.31740+1587= Rs.33,327
C.I =A−P
∴C.I=33,327−24,000=Rs.9,327
Answer:
solution :
principal (p)=24000
rate of interest (r)=15%
time(t)= 2 years
simple interest (S.I)=?
amount (a)=?
now,
S.I=PRT
100
=24000*15*2
100
=240*15*2
=7200
Again,
a=P+S.I
=24000+7200
=31200#
4(1/2+3/4)+(-2) equals what?
Answer:
3
Step-by-step explanation:
i think
Answer:
[tex]4( \frac{1}{2} + \frac{3}{4} ) - 2 \\ = 4( \frac{2 + 3}{4} ) - 2 \\ = 4( \frac{5}{4}) - 2 \\ = 5 - 2 \\ = 3[/tex]
HURRY WILL GIVE BRANLIEST!!!!!!!
Answer:
√17
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a ratio of two integers. Or in other words, an irrational number can't be expressed as a fraction. You really cant divide one integer by another integer to get √17, so that makes it an irrational number.
Order of operations 8x18/4+15
Answer:
8×18=144
4±15=19
144÷19
7.579 answer
I. LUI
Solve the equation by factoring. (Enter your
ans
4x^2 – 8x – 5 = 0
Answer:
hope it's helps you.......
Graph the line with slope 2 passing through the point (-5, 2)
Answer:
Equation is y=2x+12
The image is a picture of the graph(it's not the best but it's something.
Solve the simultaneous
equation log(x+2) +log2=2log y and log(x-3y+3)=0
Answer:
that's is my answer for the question
!Can some1 help! !Help FAST!
What is the algebraic expression for the word phrase "4 times a number minus 9"?
A. 4(y-9)
B. 4y-9
C. 4(9-y)
D. 9-4y
Answer:
4y-9
Step-by-step explanation:
y is the number, 4 times the number = 4y
so 4y-9
3. Consider the multiplication operations below and choose whether the fosuit com
be rational, Inational, or both.
Irrational
Expressions
Rational
8. VE
О
tvo. V
V3.12
о
Answer:
1st expression= rational 2nd expression= rational 3rd expression = irrational
Step-by-step explanation:
The first and second expressions are rational because they both equal whole numbers (4 and 3) while the last expression equals a decimal that goes on forever with no end, thus making it irrational.
A.It has reflectional symmetry with one line of symmetry.
B.It has point symmetry.
C.It has no reflectional symmetry.
D.It has rotational symmetry with an angle of rotation of 180°.
Answer:
Step-by-step explanation:
( A ). It has reflectional symmetry with one line of symmetry.
Write 96% as a fraction.
Answer:
Directly, it would be 96/100. However, we can reduce it to become 48/50 = 24/25.
(underlined is simplest answer)
24/25
Step-by-step explanation:
96%
=96/100
=24/25
answer
Simplify 21v ^-6 divided by (-7v^-6)
√5 • -4√20
PLEASE SHOW STEP BY STEP ON HOW YOU SOLVED THE EQUATION
Answer:
-40
Step-by-step explanation:
[tex] \sqrt{5} \times - 4 \sqrt{20} [/tex]
Multiplication is commutative.
[tex] - 4 \sqrt{20} \times \sqrt{5} [/tex]
Apply Profuct Rule
[tex] - 4 \sqrt{100} [/tex]
Simplify sqr root of 100
[tex] - 4 \times 10 = - 40[/tex]
Hi ;-)
√5 · (-4√20) = -4√(5 · 20) =
= -4√100 = -4 · 10 = -40
true or false |-7|>-|-7| HELPP I BEGG YOU
Answer:
False
Step-by-step explanation:
Those straight lines that look like this -> |
Represent absolute value.
All absolute value means is the distance a number is from zero.
For example: -2 is 2 numbers away from zero.
5 is 5 numbers away from zero.
-7 is 7 numbers away from zero.
So when something says |-7| that is the same value as 7
So 7 = 7
NOT 7>7 (that doesn't make sense)
Which of the following is true, according to the graph?
There is a much larger preference for science among those who prefer R&B.
There is a much larger preference for English among those who prefer rock.
There is a much smaller preference for math among those who prefer country.
The percentages for class preference are relatively the same among the different music groups.
Answer:
a one is right answer
Step-by-step explanation:
h.j.j.k kaoa0
Graph the line with slope -3/4 passing through the point (2,2)
Step-by-step explanation:
the answer is in the graph above
which is not a whole number “8, -10, 0, 18/3”?
Answer:
-10 I guess its this maybe
There are □ terms in the sequence 1000,2000, 3000, 4000, ...., 500000
Answer:
500
Brainliest, please!
Step-by-step explanation:
We are adding 1000 each time.
500000/1000 = 500
Answer:
Step-by-step explanation:
[tex]Number\ of\ terms\ =\dfrac{500000-1000}{2000-1000} +1\\\\=\dfrac{499000}{1000} +1\\\\=499+1\\\\=500\\[/tex]
I don’t know how to do this pls help me with this!!
Answer: 1st bar: 1=100%
2nd bar= 1/2=50%
3rd bar= 1/3= 33.3%
4th= 1/4= 25%
5th= 1/5= 20%
Last bar= 1/10= 10%
Step-by-step explanation:
Simplify the complex fraction: -1 5/6 / -1/12
Answer:
[tex] = \frac{11}{3} = 3 \frac{2}{3} [/tex]
Step-by-step explanation:
[tex] \frac{ - 1\frac{5}{6} }{ - \frac{1}{12} } = \frac{ - \frac{11}{6} }{ - \frac{1}{2} } [/tex]
[tex] \frac{ - \frac{11}{6} }{ - \frac{1}{2} } = \frac{ \frac{11}{6} }{ \frac{1}{2} } [/tex]
[tex] = \frac{11}{3} = 3 \frac{2}{3}[/tex] ✅
Evaluate each using the values given.
m-((-3) + p)-q; use m= 10, p=-6, and q = 10
Answer:
9
Step-by-step explanation:
10-((-3) + -6)-10
10-(-9)-10
10+9-10
9
prince covers 1200 meter distance in 10 minutes . calculate his velocity
Answer: 120 m/min or 2 m/s
Concept:
Here, we need to know how to calculate velocity.
Velocity = ΔD / ΔT
The SI unit of velocity is m/s
Solve:
Given information
Distance = 1200 m
Time = 10 min
Given expression
Velocity = ΔD / ΔT
Substitute values into the expression
Velocity = 1200 / 10
Velocity = 120 m/min
Extra:
**Disclaimer** Ignore this part if it is irrelevant to what you are learning.
If the question needs an answer with SI unit, then please see below:
Given information
Distance = 1200 m
Time = 10 min = 10 × 60 = 600 sec
Given expression
Velocity = ΔD / ΔT
Substitute values into the expression
Velocity = 1200 / 600
Velocity = 2 m/s
Hope this helps!! :)
Please let me know if you have any questions
(8)/(r+2)+(8)/(r-2)=3
Answer:
- 2/3, 6
Step-by-step explanation:
if (x+30) and (3x+10)are co interior angle.Find the value of x
Answer:19
Step-by-step explanation:
3x3=9 then add by 10 giving u the sum of 19
<3
Answer:
x = 35
Step-by-step explanation:
Co interior angle sum to 180° , so
x + 30 + 3x + 10 = 180 , that is
4x + 40 = 180 ( subtract 40 from both sides )
4x = 140 ( divide both sides by 4 )
x = 35
brainiest to whoever rightt.
Answer:
Perimeter of a square
Step-by-step explanation:
The formula for finding out the perimeter of a square is P = 4s
Please, someone, help
Answer:
I will help
Step-by-step explanation:
caterpillar crawls 25 inches in one minute. How many inches does it crawl in 5 minutes?
Answer:
125 inches
Step-by-step explanation:
In one minute caterpillar crawls 25 inches. So in 5 minutes we have 5 times 25 inches is 125 inches.
By equation
Additional: 25 + 25 + 25 + 25 + 25 = 125 (inches)
Mutiplication: 25 * 5 = 125 (inches)
The caterpillar crawls 125 inches in 5 minutes
because it is said that the caterpillar crawls 25 inches in one minute so we can use multiplication 25 x 5 = 125
Rational or Irrational: -4 √81
Answer:
it is rational
Step-by-step explanation:
Answer:
it's rational number
I hope it's helps you