After changing its format, a radio station lost 34% of its listeners. If there were an estimated 83,000 listeners originally, how many listeners does the radio station have now
The overall pass rate for law school graduates taking the Maryland bar exam has been reported as 76%. Assume that a certain Maryland law school has had 400 of its most recent graduates take the Maryland bar exam, but only 60% passed. When asked about these results, the dean of this university’s law school claims his graduates are just as good as others who have taken the Maryland bar exam, and the low pass rate for the recent graduates was just "one of those statistical fluctuations that happen all the time." If this university’s overall pass rate were really 76%, what would be the probability of a simple random sample of 400 having a pass rate of 60% or less
Answer:
The probability is [tex]P(X \le 0.60) = 0.000 [/tex]
Step-by-step explanation:
From the question we are told that
The overall pass rate is [tex]R = 76\% = 0.76[/tex]
The sample size is n = 400
The percentage that passed is [tex]k = 60\% = 0.60[/tex]
Generally the standard error is mathematically represented as
[tex]\sigma _{\= x } = \sqrt{\frac{R (1 -R)}{n} }[/tex]
=> [tex]\sigma _{\= x } = \sqrt{\frac{0.76 (1 -0.76)}{400} }[/tex]
=> [tex]\sigma _{\= x } = 0.0214 [/tex]
Generally the probability of a simple random sample of 400 having a pass rate of 60% or less is mathematically represented as
[tex]P(X \le 0.60) = P(\frac{X - R}{ \sigma_{\= x}} \le \frac{0.60 - 0.76}{0.0214} )[/tex]
=> [tex]P(X \le 0.60) = P(Z \le -7.48 )[/tex]
Generally from the z-table
[tex]P(Z \le -7.48 ) = 0.000[/tex]
So
[tex]P(X \le 0.60) = 0.000 [/tex]
Equation - 120n-150=45n
Answer:
1.) 75
2.) 75
3.) 2
Step-by-step explanation:
120n-150=45n
add 150 to both sides
120n=45n+150
subtract 45n from both sides
75n=150
divide by common number, since 75 is half of 150, use 75.
n=2
Naomi's fish is 40 millimeters long. Her guinea pig is 25 centimeters long. How much longer is he guinea pig than her fish.
Answer:
The guinea pig is 210 millimeters longer than the fish.
Step-by-step explanation:
Solve this equation
(3m⁴)²
Answer:
9m⁸
Step-by-step explanation:
3^2=9
(m⁴)² = m⁸
9*m⁸
What is the ratio 0.45 to 1.35 as a simplified fraction?
Solution:
Given ratio: [tex]0.45:1.35[/tex]
Multiply both sides by 100:
[tex]0.45:1.35[/tex]
[tex]\rightarrow 0.45 \times 100:1.35 \times 100[/tex]
[tex]\rightarrow 45:135[/tex]
Convert the ratio into a fraction:
[tex]\rightarrow 45:135 = \dfrac{45}{135}[/tex]
Simplify the fraction:
[tex]\rightarrow \dfrac{45}{135} = \dfrac{45 \div5}{135 \div 5} =\dfrac{9}{27} = \dfrac{9 \div 9}{27 \div 9} = \dfrac{1}{3}[/tex]
The simplified fraction representing the ratio 0.45 to 1.35 is 1/3.
To express the ratio 0.45 to 1.35 as a simplified fraction, we can divide both numbers by their greatest common divisor (GCD) to simplify the ratio. In this case, the GCD of 45 and 135 is 45.
So, divide both numbers by 45:
0.45 ÷ 45 = 0.01
1.35 ÷ 45 = 0.03
The simplified ratio is 0.01 to 0.03. To make it an integer ratio, we can multiply both parts by 100:
0.01 * 100 = 1
0.03 * 100 = 3
So, the simplified fraction representing the ratio 0.45 to 1.35 is 1/3.
To know more about fraction:
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Match each complex number with its equivalent expression.
i
-1
1
-i
i^48
i^223
i^113
i^82
Remember that i = √(-1), so that
• i ² = -1,
• i ³ = i x i ² = i x (-1) = -i
• i ⁴ = i x i ³ = i x (-i) = -i ² = -(-1) = 1
Multiplying by i again gives i ⁵ = i and the cycle starts over.
The main observation to make here is that raising i to any multiple of 4 returns 1. So,
i ⁴⁸ = (i ⁴)¹² = 1¹² = 1
i ²²³ = i ²²⁰⁺³ = i ²²⁰ x i ³ = (i ⁴)⁵⁵ x i ³ = 1⁵⁵ x (-i) = -i
i ¹¹³ = i ¹¹²⁺¹ = i ¹¹² x i = (i ⁴)²⁸ x i = 1²⁸ x i = i
i ⁸² = i ⁸⁰⁺² = i ⁸⁰ x i ² = (i ⁴)²⁰ x i ² = 1²⁰ x (-1) = -1
i^48 = 1
i^223 = -i
i^113 = i
i^82 = -1
3x + 7 = 23 - 5x
I need sum help plz!!
Answer:
x=2
Hope this helps! :)
3x+5x=8x
23-7=16
16÷8
Answer:
x = 2
Step-by-step explanation:
3x + 7 = 23 - 5x
3x + 5x = 23 - 7
8x = 16
x = 2
Evaluate f (x) = 3x – 5 when x = -1, x = 0, and x = 3.
When x = -1, f (x) = –2 , when r = 0, f (x) = -5), and when x = 3, f (x) = 4).
f(x) = 3x − 5 when x=−1, x=0, x=3
Answer:
-8, -2, 4
Step-by-step explanation:
1. Insert -1, 0, and 3 into x
2. Solve
Replace x with -1: f(-1) = 3(-1) − 5
Multiply 3(-1): f(-1) = -3 − 5
Subtract by 5: f(-1) = -8
The answer is -8
Now do this for the rest of the problems:
f(0) = 3(0) − 5 when x=−1, x=0, and x=3
-2 is the 2nd answer
f(3) = 3(3) − 5 when x=−1, x=0, and x=3
4 is the 3rd answer
This is my first answer, so I hope I explained it well!
Find the measure of the missing angle.
Answer:
36 degrees
Step-by-step explanation:
The whole shape is 90 degrees.
90 - 54 = 36
36 degrees
Answer:
36*
Step-by-step explanation:
a right angle is 90* and so you do
90-54=36
meaning your missing angle is 36*
help me guys fast as
[tex]\\ \rm\Rrightarrow tan^2135-cosec^260=-xcos45.sin45.cot60[/tex]
[tex]\\ \rm\Rrightarrow (-1)^2-(\dfrac{2}{\sqrt{3}})^2=-\dfrac{x}{\sqrt{2}}\times \dfrac{1}{\sqrt{2}}\times \dfrac{1}{\sqrt{3}}[/tex]
[tex]\\ \rm\Rrightarrow 1-\dfrac{4}{3}=\dfrac{-x}{2\sqrt{3}}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{3-4}{3}=\dfrac{-x}{2\sqrt{3}}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-1}{3}=\dfrac{-x}{2\sqrt{3}}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{\sqrt{3}}=\dfrac{x}{2}[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{2}{\sqrt{3}}[/tex]
Find the area of the triangle below.
Carry your intermediate computations to at least four decimal places. Round your answer to the nearest tenth.
The area of the triangle is the amount of space on it.
The area of the triangle is 85.5 square yard
How to determine the area of the triangle?The given parameters are:
a = 12 yd
b = 16 yd
c = 15 yd
Start by calculating the semi-perimeter (s)
s = 0.5 * (a + b + c)
This gives
s = 0.5 * (12 + 16 + 15)
s = 21.5
The area of the triangle is then calculated as:
[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]
This gives
[tex]A = \sqrt{21.5 * (21.5 - 12) * (21.5 - 16) * (21.5 - 15)[/tex]
Evaluate the product
[tex]A = \sqrt{7301.9375[/tex]
Evaluate the square root
A = 85.5
Hence, the area of the triangle is 85.5 square yard
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6/9x45 in simplest form?
Answer:
Step-by-step explanation:
6/9 x 45 = 2/3 x 45 = 30
[tex] \frac{2}{3} \times 45 = 30[/tex]
GIVING BRAINLIEST
Madeline bought a hybrid car that averages 46 miles per gallon. How much gas will she need for a 350-mile trip? Select the equation and the solution (2 answers).
Group of answer choices
350 x 46 = n
46n = 350
approximately 7.61 gallons
approximately 8.75 gallons
Answer:
7.61 gallons.
Step-by-step explanation:
you take the 46, and you divide on both sides. 350÷46= approximately 7.61 gallons.
Can anyone help I would really appreciate it I’m failing everything and need a boost
Answer:
2,870 and 30
Step-by-step explanation:
help fastttt!!!!! brainliest to first
Answer:
i believe it's actually the fourth option: lines e and f are parallel bc their same side exterior angles are supplementary
Step-by-step explanation:
its part of a theorem you learn, don't remember exactly (haven't taken geo in like 2 years lol)
Answer:
i believe it shud be c
Step-by-step explanation: it really doesn't proof that for a and be the corresponding angles are congruent..
Hope this is correct!!
what is a slope of a line mean?
What is the slope of the line that cuts through the points (1, 2) and (5, 4)?
What is the slope of the line that cuts through the points (1, -5) and (3, 5)?
Is the function that cuts through the points (2, 3) and (-1, 6) increasing or decreasing?
What is the slope of the line that cuts through the points (4, 2) and (-2, 2)?
Answer:
1/2, 5, decreasing, 0Step-by-step explanation:
Use slope formula:
m = (y2 - y1)/(x2 - x1)1) Points (1, 2) and (5, 4)
m = (4 - 2)/(5 - 1) = 2/4 = 1/22) Points (1, -5) and (3, 5)
m = (5 - (-5))/(3 - 1) = 10/2 = 53) Points (2, 3) and (-1, 6)
m = (6 - 3)/(-1 - 2) = 3/-3 = -1Slope is negative, so function is decreasing4) Points (4, 2) and (-2, 2)
m = (2 - 2)/(-2-4) = 0/-6 = 0Answer:
1/5, 1, decreasing, 0
Step-by-step explanation:
Given that n is a positive number, write, in a symbolic statement, ‘the square of a positive number decreased by 10 is 6’
Answer:
n² -10 = 6
Step-by-step explanation:
If n represents a positive number, then "the square of a positive number" is represented by n². When that value is decreased by 10, it becomes ...
n² -10
and if that value is 6, the math expression is ...
n² -10 = 6
__
Additional comment
Increasing the value by 10 gives ...
n² = 16
and taking the positive square root gives us the value of the number:
n = √16 = 4
in this question we have to multiply 4 with 4 then we have to minus 16 with 10 we get the answer 6
so, first we have to multiply the 4 with 4= 4 × 4 = 16
then, we have to minus 16 with 10 we get :-= 16 - 10
we get :-= 6
in this question we have get 16 because √16 is the square root of 4Help pls i will give brainliest for correct answer
Answer:
x = 0
I hope this helps!
Question 8 of 10
Write the following equation in standard form: x^5+2x^3+6x+1/5
Answer:
x^5+2x^3+6x+1/5
Step-by-step explanation:
our given equation is already written in standard form.
Answer:
It is already in standard form
Step-by-step explanation:
The standard equation should be arranged from high order to low order
So x^5+2x^3+6x+1/5 = x^5+2x^3+6x+1/5
It is already in standard form
Describe the transformations necessary to transform the graph of f(x) into that of g(x)
Choose an option
SHOW YOUR WORK
Answer:
C)
Step-by-step explanation:
[tex]\sqrt{x}[/tex] : original function
[tex]\sqrt{-x}[/tex] : reflect across the y-axis
[tex]\sqrt{-\dfrac13x}[/tex] : horizontal stretch by a scale factor of 3
[tex]\sqrt{-\dfrac13(x-3)}[/tex]: translate right 3 units
f(x) : original function
f(-x) : reflection over y-axis
f(ax) : horizontal stretch of the graph by a scale factor of 1/a
f(x - a) : horizontal translation right a units
Find each value
10/9 of 72
2i-3n=8
i+2n=-3
find i and n
Answer: n = -2; i = 1
Step-by-step explanation:
i + 2n = -3
i = -3 - 2n
Plug in i in 2i - 3n = 8, we get:
2i - 3n = 8
2(-3 - 2n) - 3n = 8
-6 - 4n - 3n = 8
-6 - 7n = 8
-7n = 14
n = -2
substitute n = -2 into i = -3 - 2n
i = -3 - 2n
i = -3 - 2(-2)
i = -3 + 4
i = 1
Help help math math ASAP ASAP
Answer:
[tex]\displaystyle y = 4x + 12[/tex]
Step-by-step explanation:
−4x + y = 12
+ 4x + 4x
_________
[tex]\displaystyle \boxed{y = 4x + 12}[/tex]
I am joyous to assist you at any time.
one shirt and one pair of pants costs $50.00. three shirts and 2 pairs of pants cost $120. how much is a shirt?
one shirt is for $25 so multiple that by 3 and get $75
how would you find the equation if each copy of a book costs 18$ and shipping is 9$ per order
Answer:
18x + 9
Step-by-step explanation:
What is the measure of x in triangle ABC? A. 35o B. 34o C. 33o D. 24o
Answer:
B, 34 degrees
Step-by-step explanation:
Since all triangles equal to 180 degrees, you have to add together the angles you already know and subtract from 180.
123+23=146 180-146=34
Hopefully this helps, have a nice day/night!
Jayla buys and sells vintage clothing. She bought two blouses for $25.00 each and later sold them for $38.00 each. She bought three skirts for $15.00 each and later sold them for $26.00 each. She bought five pairs of pants for $30.00 each and later sold them for $65.00 each.
Jayla’s expenses for purchasing the items were
Jayla’s revenue from the sale of the items was
Jayla’s total profit was
Answer:
Jayla's expenses are: $245.00
Jayla's revenue from the sales are: $479.00
Total profit: $234.00
------------------------------------------
Hope this helps! This should be correct !
Answer:
- $245
+ $479
+ $234
Step-by-step explanation:
expenses : (25 x 2) + (15 x 3) + (30 x 5) = 50 + 45 + 150 = 95 + 150 = $245
revenue : (38 x 2) + (26 x 3) + (65 x 5) = 76 + 78 + 325 = 154 + 325 = $479
total profit : 479 - 245 = $234
Please help! In the figure below, what is the length of EG
Answer:
Step-by-step explanation:
The triangles are similar because they have two sides and the angle between them (EFG) respectively equals, and it’s evident the factor between the two triangles is 2. So EG=2CB=2*8=16
Answer:
the value of EG is 20.
Step-by-step explanation:
3×4 = 12, AB and EF is similar but the value of AB is multiplied by 4 to become 12 for EF.
similarly, 4×4 = 16, BC and FG is similar but the value of BC is multiplied by 4 to become 16 for FG..
In this way, AC and EG are also similar so 5×4 = 20.
All the values are multiplied by 4 ...
Pls help: √5 multiplied by √245
I believe it is 35!
I hope this helps you, and don't forget to give this answer brainliest if it really helped!