Answer:
0.9962
Step-by-step explanation:
The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.
Suppose X is a random variable that follows a normal distribution:
Then;
[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]
From the z tables;
P(X< 26) = 0.9962
Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.
Answer:
0.9962
Step-by-step explanation:
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
What proportion of average city temperatures are lower than that of Singapore?
Solution:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 20.66, σ = $2
For the average temperature of Singapore of 26°, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]
From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962
Find the value of x that makes A || B.
2 = 3x - 20 and 5 = x + 20
x= [?]
Answer:
20
Step-by-step explanation:
3x-20=x+20
3x-x=20+20
2x=40
x=20
good luck dude
For the two lines A and B to be parallel to each other, the value of x should be equal to 20.
What are corresponding angles?In literal sense, corresponding means pair wise angles. Like the right corner angles of two triangles etc.
The definition of corresponding angles states that when two parallel lines cross with a third, the angles that occupy the same relative location at each junction are said to be corresponding angles to each other.
As per the given diagram of the parallel lines and the transverse the measure of the angle 2 and angle 5 should be equal, This is because the two angles are corresponding angles. Therefore, we can write,
∠2 = ∠5
3x - 20 = x + 20
3x - x = 20 + 20
2x = 40
x = 20
Hence, for the two lines A and B to be parallel to each other, the value of x should be equal to 20.
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What is the difference between these two expressions?
(14 + 9) 4
(14 + 9) 2
(14 + 9) 4 is four times as much as (14 + 9) 2
(14 + 9) 4 is three times as much as (14 + 9) 2
(14 + 9) 4 is half as much as (14 + 9) 2
(14 + 9) 4 is twice as much as (14 + 9) 2
Answer:
The answer is:
Option 4; (14+ 9) 4 is twice as much as(14 + 9) 2
Thanks
Answer:
Step-by-step explanation:
i
I NEED HELP ASAP!!!
Determine the best name for the quadrilateral JKLM. Justify your answer by showing all work and explaining the results of your work.
J ( 2, 4 ), K ( 7 , 4, ), L ( 3, 1 ) and M ( - 2 , 1 )
Answer:
Parallelogram
Step-by-step explanation:
This is a parallelogram
See the plotted points
Misha found that the equation –|2x – 10| – 1 = 2 had two possible solutions: x = 3.5 and x = –6.5. Which explains whether or not her solutions are correct?
She is correct, because both solutions satisfy the equation.
She is not correct, because she made a sign error.
She is not correct, because there are no solutions.
She is not correct, because there is only one solution: x = 3.5.
She is not correct, because there are no solutions. (Option C).
What is an equation?An equation refers to any mathematical statement that contains the equality sign. Now we can see in the equation that there is a negative sign before the absolute value.
Now we have;
–|2x – 10| – 1 = 2
–|2x – 10| = 3
This is not possible because the absolute value does not return a negative value and the expression can never equal 3.
Thus, she is not correct, because there are no solutions.
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I need help pls !!!!
Answer:
See Below
Step-by-step explanation:
Ok, so in this problem you have some vertical angles. These are angles oppisites from each other. Therefore; d = 52, f = ?, and e = 77. All the angles added together will = 360. Let's add up the angles we know and subtract the whole from 360.
52 + 52 + 77 + 77 = ?
104 + 154 = 258
360 - 258 = 102
Since we know that f and the unlabeled angle are the same, we need to divide this total between the two of them.
102/2 = 51
Therefore;
d = 52
e = 77
f = 51
Please solve!
add equation.
Will Name Brainliest!!!!
If mr gardener had 185 chocolate kisses and he wants to divide them between his 6 students how many will each student get
Each will get thirty kisses, and there'll be five left over, unless he has favorite students.
A
SSS
OSAS
HL
AAS
ASA
None
PLEASE HELP ASAP
Label the parts of the animal and plant cell in this diagram.
Answer:
no se
Step-by-step explanation:
no se
Use the work shown. Which expression is equivalent to Negative two-thirds y minus three-fifths x + StartFraction 2 over 9 EndFraction minus four-fifths x + one-third y? y minus four-fifths x + StartFraction 2 over 9 EndFraction minus two-thirds y minus one-fifth x Negative y minus four-fifths x + StartFraction 2 over 9 EndFraction + two-thirds y + three-fifths x One-third y minus StartFraction 7 over 5 EndFraction x + two-thirds minus two-thirds y minus StartFraction 4 over 9 EndFraction Two-thirds y minus StartFraction 7 over 5 EndFraction x + StartFraction 2 over 9 EndFraction + y
Answer:
c
Step-by-step explanation:
Answer:
One-third y minus Start Fraction 7 over 5 End Fraction x + two-thirds minus two-thirds y minus Start Fraction 4 over 9 End Fraction
just to be clear its C i just wanted to look smart hope i helped :)
9/6 divided 1/2 can somebody help please
Answer:
Step-by-step explanation:
[tex]\frac{9}{6}[/tex] ÷ [tex]\frac{1}{2}[/tex] = 3
Question 1 of 5 Convert 48 inches to feet. There are 12 inches in a foot. O A. 480 feet O B. 576 feet O C. 4 feet O D. 8 feet
Answer:
C
Step-by-step explanation:
If you divide 48 by 12 you will get 4 and 4 is your answer
During the last basketball season, Alice made 320 out of 360 free-throw attempts. Betty made 300 free-throws out of 320 attempts. Cathy made 90% of her free-throws. Denise had an average of 0.913 for successful free-throws.
Which girl had the highest percentage of free throws?
Graph the line that has a slope of 8 and includes the point (0,2).
The graph for the given slope of 8 and includes the point (0,2) is given below.
Given that, the line that has a slope of 8 and includes the point (0,2).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Substitute m=8 and (x,y)=(0, 2) in y=mx+c, we get
2=8(0)+c
c=2
Put m=8 and c=2 in y=mx+c, we get
y=8x+2
Graph the line using the slope and y-intercept, or two points.
Slope: 8
y-intercept: (0,2)
Coordinate points are (0, 2) and (1, 10)
Hence, the graph for the given slope of 8 and includes the point (0,2) is given below.
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Describe the end behavior of a 9th degree polynomial with a negative leading coefficient??
Answer:
Up left, down right
Step-by-step explanation:
First, polynomials with odd degrees will have end behaviors in two different directions.
Since the leading coefficient is negative, the end behavior will be up left and down right.
So, the end behavior is up left, down right.
The end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.
We have to determine
The end behavior of a 9th-degree polynomial with a negative leading coefficient??
What is a negative leading coefficient?If the leading coefficient is negative and the exponent of the leading term is even, the graph falls to the left and right.
What is the equation of 9th-degree polynomial?
The equation of the 9th-degree polynomial is;
[tex]\rm x^9+3x^8+4x^7+x^6+x^5+9x^3+2x^2+x+1=0[/tex]
The degree of the polynomial is 9 which is odd.
Hence, the end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.
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My Homework
Independent Practice
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Go online for Step-by-Step Solutions
Find the greatest common factor of each set of numbers. (Sample 2)
1. 8,14
2. 21, 24, 27
3. 21, 35, 49
4. 12, 18, 26
Find the least common multiple of each set of numbers. (Examples 3 and 4)
5. 5 and 6
6. 6 and 9
Answer:
1. 2
2. 3
3. 7
4. 2
5. 30
6. 18
Step-by-step explanation:
Joey entered a chicken wing eating contest. He ate 160 wings in ten minutes. If
Joey ate the wings at a constant rate, what is the constant of proportionality
relative to this situation?
Answer:
16
Step-by-step explanation:
160 ÷ 10 = 16 wings per minute
Wings: y
Constant of proportionality: k
Minutes: x
y = kx
y = 16x
what is the measurement of the angle???
180 = full angle of trapezoid
180 - 82 - 82 = 16
Answer: 16
If f(x) = x³ - 2, find f(3). 25 24 26 20
Answer:
[tex]A.) 25[/tex]
Step-by-step explanation:
[tex]f(3)[/tex] means that the value of x is 3. Insert this into the equation for x, but DO NOT insert the value into f(x). To not get confused, remember that f(x) is basically y. You can insert y into the equation to not get mixed up:
[tex]f(x)=(3)^3-2\\\\or\\\\y=3^3-2[/tex]
Now simplify the equation, starting with exponents (PEMDAS):
[tex]x^3=x*x*x\\\\3*3*3\\\\9*3=27\\\\f(x)=27-2\\\\or\\\\y=27-2[/tex]
Simplify subtraction:
[tex]27-2=25\\\\f(x)=25\\\\or\\\\y=25[/tex]
:Done
Solve for z.
12 = 15(z-1/5
Answer:
z= 1
Step-by-step explanation:
Rewrite the equation as
15(z−1/5)z12
Apply the distributive property
15z+15(−1/5)= 12
Cancel the common factor of 5
15z+3*−1= 12
Multiply 3 by −1
15z−3= 12
Divide each term by 15 and simplify
5z−1 = 4
Since the expression on each side of the equation has the same denominator, the numerators must be equal
5z−1= 4
Move all terms not containing z to the right side of the equation
5z= 5
Divide each term by 5 and simplify
z = 1
A dice is rolled.
What is the probability of getting a 2 or
a 4?
Answer:
1/3 or 3.33
Step-by-step explanation:
There are 6 sides to dice, and to land on one side is a 1/6th of a chance. to land on 2 possible sides, you do 1/6+1/6 which equals 2/6 which is equivalent to 1/3 or 3.33 as a decimal.
I hope this helps and good luck!
Answer:
1/3 or 3.3333333333333333333 repeating
Step-by-step explanation:
A normal dice has 6 sides. You are asking the probability of getting two of them. 2 ÷ 6 = 1/3, or 33.3 repeating
I Hope That This Helps! :)
Section B: Simplifying expressions involving surds
1. Which of these numbers are multiples of square numbers greater than 1?
8
40
35
80
90
288
Answer:
All except 35
Step-by-step explanation:
8, 40, 80 and 288 is a multiple of 4.
90 is a multiple of 9.
Evaluate
-4-5+4+(-5)
Answer:
-10
Step-by-step explanation:
-4 - 5 + 4 + (-5)
-9 + 4 - 5
-5 - 5 =
-10
Answer:
-10
Step-by-step explanation:
the answer is -10
combine the negatives to get -14
and positives to get 4
so you have -14+4=-10
write 28 + 24 as a product of two factors using the GCF and the distributive property
Answer:
4 x 13
Step-by-step explanation:
GCD of 28 and 24 is 4
28 = 4 x 7
24 = 4 x 6
u take the 4 out
4 (7 + 6)
4 x 13
The product of two factors using the GCF and the distributive property is 4(13).
What is the meaning of the greatest common divisor/factor?
The largest integer of highest degree that is an exact divisor of each of two or more integers.
The greatest common divisor of 24 and 28
24=2×2×2×3
28=2×2×7
We can see that the 2 and 2 is common in 24 and 28
The GCD of 28 and 24 is=2×2= 4
For the distributive property we have
28 = 4 x 7
24 = 4 x 6
we take the 4 out
4 (7 + 6)
=4 x 13
Therefore the GCD is 4 and by distributive property product is 4(13).
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Find the volume of a sphere with the radius of 10 m.  use 3.14 for pie. Round to the nearest 10th. 
Answer:
Step-by-step explanation:
Givens
r = 10 m
pi = 3.14
Formula
V = 4/3 * 3.14 * r^3
Solution
V = 4/3 * 3.14 * 10^3
V = 4/3 * 3.14 * 3140
V = 4186.67 m^3
Mr. Richard plans to take 25 students on a school trip. They plan to go to Zoo. The bus fee is $100 for the entire trip. Entrance fee is $2.50 per person. How much should each student pay? Note: Mr. Richard does not need to pay.
Answer:
$162.50
Step-by-step explanation:
+$100
25x2.50= $62.50
+$62.50
100+62.50=162.50
Answer:
Each student should pay $6.50
Step-by-step explanation:
The question is not very clear.
If Mr. Richard has to pay to enter:
Total cost = $100 + ($2.50×26) = $165
Cost per student = [tex]\frac{165}{25}[/tex] = $6.60
Each student should pay $6.60
If Mr. Richard doesn't have to pay to enter:
Total cost = $100 + ($2.50×25) = $162.5
Cost per student = [tex]\frac{162.5}{25}[/tex] = $6.50
Each student should pay $6.50
-3(5x - 7) = -4x + 3(3x + 7)
Answer:
x = 0
Step-by-step explanation:
Given
- 3(5x - 7) = - 4x + 3(3x + 7) ← distribute parenthesis on both sides
- 15x + 21 = - 4x + 9x + 21 , that is
- 15x + 21 = 5x + 21 ( subtract 5x from both sides )
- 20x + 21 = 21 ( subtract 21 from both sides )
- 20x = 0 , thus
x = 0
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Solve m + 3.4 = 2.1.
Answer:
m= -1.3
Step-by-step explanation:
subtract 3.4 from both side and than simplify
Anne is choosing a contractor. She has narrowed down her selection to two companies and will base her decision on the likelihood that the job is done on time and on budget. Which contractor should Anne choose to maximize the probability that the job will be done on time and on budget?
Answer:
I think it should be contractor B
Answer: a
Step-by-step explanation:
