Answer:
The answer is 132
Step-by-step explanation:
The percentage of homes will have a monthly utility bill of more than $109 is approximately 84%
How is standard deviation calculated?Suppose that the considered data set is x bar.
Then, its standard deviation is the positive square root of the variance of this data set. Variance of data set is the sum of squared differences of the data values from its mean to the total count of data values.
We are given that Mean, m = $92
Standard deviation, s = $13
Now, we have to find calculate percentage of homes will have a monthly utility bill of more than $79 i.e P(X > 79)
Also, P( X > 79) = 1 - P( X < 79)
Z-score for (X = 79 )
Z = -1
From the standard Z value vs P table, we have;
P( Z < -1 ) = 0.1587
Thus,
P( X < 79) = P( Z < -1 ) = 0.1587
therefore,
P(X > 79) = 1 - 0.1587
P(X > 79) = 0.8413
= 0.8413 × 100%
= 84.13%
Hence, the option d) is approximately 84%
Learn more about standard deviation:
https://brainly.com/question/11448982
#SPJ6
What is the y intercept what does this mean in terms of the snake population
Answer:
5
snake population at time zero, or the initial snake population, is 5
Step-by-step explanation:
Since we see point (0, 5) written on the graph, we see that the y-intercept is 5.
That means that the snake population at time zero is 5. The initial snake population was 5.
Can some one help me
Answer:
Step-by-step explanation:
divide 4 and 2 then add 2 and 1
Answer:
y = - 4x + 17
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (2, 9)
m = [tex]\frac{9-1}{2-4}[/tex] = [tex]\frac{8}{-2}[/tex] = - 4, thus
y = - 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 1) , then
1 = - 16 + c ⇒ c = 1 + 16 = 17
y = - 4x + 17 ← equation of line
2) A girl starts from a point A and walks 285m to B on a bearing of 078°. She then walks due south to a point C which is 307m from A. What is the bearing of A from C , and is the distance |BC| ?
Answer:
bearing of A from C is - 65.24°
the distance |BC| is 187.84 m
Step-by-step explanation:
given data
girl walks AB = 285 m (side c)
bearing angle B = 78°
girl walks AC = 307 m (side a)
solution
we use here the Cosine Law for getting side b that is
ac² = ab² + bc² - 2 × ab × cos(B) ...............1
307² = 285² + x² - 2 × 285 cos(78)
x = 187.84 m
and
now we get here angle θ , the bearing from A to C get by law of sines
sin (θ) = [tex]\frac{187.84}{307} \times sin(78)[/tex]
sin (θ) = 0.5985
θ = 36.76°
and as we get here angle BAC that is
angle BCA = 180 - ( 36.76° + 78° )
angle BCA = 65.24°
and here negative bearing of A from C so - 65.24°
Calculate the expected gain or loss for Stock ABC. Lose $25 Gain $5 Gain $45 Stock ABC 40% | 15% | 45% Stock JKL| 15% | 65% | 20% Stock MNO| 5% | 80%| 15%
Answer:
$11
Step-by-step explanation:
[tex]\left\begin{array}{c|ccc}&$Lose \$25&$Gain \$5&$Gain \$45\\$Stock ABC&40\%&15\%&45\%\end{array}\right[/tex]
We want to calculate the expected gain or loss of Stock ABC with the probabilities above.
Note that loss is written in negative.
[tex]E$xpected Value =$ (-25 \times 40\%)+(5 \times 15\%) + (45 \times 45\%)\\=(-25 \times 0.4)+(5 \times 0.15)+(45 \times 0.45)\\=-10+0.75+20.25\\=\$11[/tex]
Stock ABC has an expected gain of $11.
Can someone please help me I really need help
Answer:
21
Step-by-step explanation:
Answer:
6.3
Step-by-step explanation:
If you cut a line through a rectangle diagonally, you form two right triangles. Since you have a right triangle, you can use the Pythagorean Theorem. The diagonal line will be the hypotenuse, and the width will be one of the legs.
a² + b² = c²
(3)² + b² = (7)²
9 + b² = 49
b² = 40
b = √40
b = 6.3
The length of the envelope is 6.3 inches.
cot(45-A)=tan2A+sec2A
Answer:
cot(45 -A) = cot(90 - (45 + A)) = tan(45 + A) = tan2A + sec2A
Step-by-step explanation:
cot(45 -A) = tan2·(A) + sec2·(A)
We have;
tan2(A) + sec2(A) = sin2(A)/cos2(A) + 1/cos2(A) = (sin2(A) + 1)/cos2(A)
= (sin²(A) + cos²(A) + 2·sin·(A)cos(A))/(cos²A - sin²A)
= (sin(A) + cos(A))²/((cos(A) -sin(A))(cos(A) +sin(A)))
= (sin(A) + cos(A))/((cos(A) -sin(A)))
= (cos(A)(1 + sin(A)/cos(A)))/(cos(A)(1 - sin(A)/cos(A)))
= (1 + tan(A))/(1 - tan(A))
= (tan 45 + tan(A))/(1 - tan(45)·tan(A)) = tan(45 + A)
cot(π/2 - x) = tan(x)
= cot(π/2 - (45 + A)) = tan(45 + A)
π/2 = 90°
= cot(90 - (45 + A)) = tan(45 + A)
cot(45 - A) = tan(45 + A) = tan(2A) + sec(2A).
PLS HELP AND ANSWER ASAPPP (i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line “r'...
Answer:
1) 2 (11) - 1/2
Step-by-step explanation:
Given the following:
A line “t” is parallel to 3y = 6x + 9
Equation of a line;
y = mx + c
Where the Coefficient of x, 'm' is the gradient or slope and c is the intercept.
From the equation;
3y = 6x + 9
Divide through by 3
y = 2x + 3
Comparing the line equation with the equation provided :
Coefficient of x = 2, therefore 2 = slope
Since line t is Parallel to y = 2x + 3
Then, slope of line 't' is the same as that of y:
Slope of line 't' = 2
(11) For perpendicular lines :
Slope of original line : 3y = 6x + 9
Divide through by 3
y = 2x + 3
Compare to line equation:
y = mx + c
m = gradient/ slope, c = intercept
Gradient of original line, m = 2
For a line 'r' perpendicular to y = 2x + 3
Gradient, m of line r equals to the negative reciprocal of the gradient of original line
Therefore, gradient of r equals :
-1/2
A scientist was in a submarine below sea level studying ocean life over the next 10 minutes she went down 58 ft how many feet had she been below sea level if she was 141.5 ft below sea level after she went down
Answer: 199.5 ft
Step-by-step explanation:
Given: A scientist was in a submarine below sea level studying ocean life over the next 10 minutes she went down 58 ft.
If she was 141.5 ft below sea level after she went down , then she had been (141.5 ft + 58 ft) = 199.5 ft below sea level.
Hence, If she was 141.5 ft below sea level after she went down , then she had been 199.5 ft below sea level.
In the diagram, line c is a transversal of lines a and_______
Answer:
b
Step-by-step explanation:
C cuts a and b as well.Therefore it will be the transversal of a and b.
plzz mark this answer as brainliest answer
Answer:
b
Step-by-step explanation:
just did it on edge
Answer this question please than you now by tody
Answer:
the answer is line RQ and line OP
someone help me pls is due today and if the answer is correct I will give you brainliest and follow you backʕ ꈍᴥꈍʔ
Answer:
b) 1/6
Step-by-step explanation:
You need to multiply the results from the question a) by 2.
1*2=2
----------
6*2=12
=2/12
now simplify it
2/12
=1/6
Hope this helps <3
the first discount on a camera was 18%. The second discount was 20%. After these two discounts, the price became $328. What was the original price?
Answer:
the original price is 500$
Step-by-step explanation:
500*.82*.8=328
Two circles have radii of 4 units and 6 units. What is the radius of a circle whose area is equal to the sum of the areas of the two given circles?
Answer:
Step-by-step explanation:
We that the area of a circle is Pi times r^2 where r is the radius
Let A be the area of the first circle and S the area of the second one and T the total one
A=4^2× Pi
S=6^2× Pi
T = Pi( 4^2 +6^2)
= Pi ( 16+36) = Pi× 52
52 is the radius square
So r = root square 52 = 2 root square 13
Which equation is a reasonable description of the least-squares regression line for the Predicted Rotten Tomatoes Score?
Predicted Rotten Tomatoes Score = –7.476 – 1.201 * Metascore
Predicted Rotten Tomatoes Score = 1.201 – 7.476 * Metascore
Predicted Rotten Tomatoes Score = –7.476 + 1.201 * Metascore
Predicted Rotten Tomatoes Score = 29.476 + 1.201 * Metascore
Answer:
Predicted Rotten Tomatoes Score = 29.476 + 1.201 * Metascore
Step-by-step explanation:
The image is needed to solve it, I found an image that I think would be the one that adapts to the exercise, which I will attach.
The answer is:
Predicted Rotten Tomatoes Score = 29,476 + 1,201 * Metascore
Because if we follow the red line, we can see that it impacts with the axis of the and a little lower than 30, that is to say that when Metascore is 0, the value must be close to 30 and in this case the only value close to 30 inside the answer is 29,476, so this is the answer.
Classify the triangle shown below. Check all that apply.
53
5
3
90°
37
4
O A. Equilateral
B. Isosceles
O C. Right
O D. Obtuse
E. Acute
O F. Scalene
Answer:
C. and F.
Step-by-step explanation:
A scalene triangle is a triangle in which all three sides have different lengths. Also the angles of a scalene triangle have different measures. Some right triangles can be a scalene triangle when the other two angles or the legs are not congruent. Right angle are 90 degrees
Answer:
C and F
Step-by-step explanation:
This triangle is not an equilateral triangle because their lengths are not equivalent to each other. It is not an isosceles triangle because no two lengths are equivalent to each other. It is a right triangle because it has one right angle(A 90 degrees angle.) It is not an obtuse triangle because there isn't an angle that is obtuse(More than 90 degrees but less than 180 degrees angle.) It isn't an acute triangle either because not all three angles are acute(Less than90 degrees angle.) Lastly, it is also a scalene triangle because none of the triangle lengths are equivalent to each other.
What is the probability of choosing a card that does not have a digit 1 on it? Give the answer as a fraction numbers: 1,2,3,4,5,6,7,8,9,10
Answer:
8/10
Step-by-step explanation:
There's ten numbers altogether and there are two numbers with the digit one, 1 and 10. 10-2=8
8/10
Find n. Question below.
Answer:
B. 5
Step-by-step explanation:
[tex] \tan(30 ) = x \div 5 \sqrt{3} = \tan(30) \times 5 \sqrt{3} = 5[/tex]
Using the segment addition postulate, which is true? A number line going from negative 9 to positive 9. A closed circle appears at negative 6 and is labeled A. A closed circle appears at negative 1 and is labeled B. A closed circle appears at positive 2 and is labeled C. A closed circle appears at positive 8 and is labeled D.
Answer:
The answer is given below
Step-by-step explanation:
The addition postulate for line segment states that if we have points A, C and a point B on line AC, The distance between points A and C can be given as:
AC = AB + BC
Point A is at -6, point B is at -1, point C is at +2 and point D is at point 8.
Therefore using line segment postulates:
AD = AB + BC + CD
But AB = -1 - (-6)= -1 + 6 = 5
BC = 2- (-1) = 2 +1 = 3
CD = 8 - (+2) = 8 - 2 = 6
Also AD = 8 - (-6) = 8 + 6 = 14
To prove AD = AB + BC + CD
AD = 5 + 3 + 6 = 14
whats the extreme value?y=3(x+5)^(2)-4
Answer:
-4
Step-by-step explanation:
y = 3(x+5)²-4y= 3(x²+10x+25)-4y= 3x²+30x+75-4y= 3x²+30x+71Derivate the function
y' = 6x+30solve the equation y'= 0
y'= 6x+306x+30= 06x= -30 x = -5The extrme value of y is reached in -5
y = 3(-5+5)²-4= -4
48/60 in its simplelest form
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{48}{60}[/tex]
To simplify find the highest common factor of 48 and 60, that is 12
Divide both values by 12
[tex]\frac{48}{60}[/tex] = [tex]\frac{4}{5}[/tex] ← in simplest form
The fraction is in simplest form when no other factor but 1 divides into the numerator and denominator
Evaluate: m - 12 when m = 23.
Answer:
11
Step-by-step explanation:
sub 23 with m
23 - 12 = 11
QUESTION 4 The reasons Jefferson could not keep our country neutral were: The French, Spanish, and English all had land on our continent. England tried to blockade our ships from trading with Europe. The English seized our ships and their cargo. The French seized our ships and their cargo. all of the above
Answer:
All of the above.
Step-by-step explanation:
All of those instances occurred in history, and they were all unfair against the United States.
I need a Tutor and Help with this question
Answer:
x=31
y=6
Step-by-step explanation:
2x+3y=80
x+y=37
solve by elimination:( multiply second equation by 2) to eliminate x
2x+3y=80
2x+2y=74
subtract the two equations:
2x+3y-(3x+2y)=80-74
2x+3y-3x-2y=6
y=6 (3 point basket)
substitute: x+y=37, x=37-6=31
x=31 (2 point shot)
Answer:
2 point shots: 31
3 point shots: 6
Step-by-step explanation:
to get the 3 point shots:
2x+3(37-x)=80
2x+111-3x=80
x=31
31+y=37
y=6 --> 3 point shot
to get the 2 point shots:
2(37-y)+3y=80
74-2y+3y=80
y=6
x+6=37
x=31 --> 2 point shot
Five thousand tickets are sold at $1 each for a charity raffle. tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $500, 3 prizes of $300, 5 prizes of $30, and 20 prizes of $5. what is the expected value of this raffle if you buy 1 ticket?
Answer:
Expected value of raffle = $-0.67
Step-by-step explanation:
Number of tickets sold = 5,000
Selling price of each ticket = $1
1 prize = $500
3 prizes = $300
5 prize = $30
20 prizes = $5
The value of each ticket is given by
value = $500*(1/5000) + $300*(3/5000) + $30*(5/5000 + $5*(20/5000)
value = $0.1 + $0.18 + $0.03 + $0.02
value = $0.33
The expected value is
Expected value = value - selling price
Expected value = $0.33 - $1
Expected value = -$0.67
Therefore, the expected value of this raffle is -$0.67 if you buy 1 ticket.
The negative sign means that you are most likely to lose $0.67 if you buy a raffle ticket for $1.
1. A survey shows that 15% of nurses are being underpaid in a hospital that employs 200 nurses. (i) Construct a 90% confidence interval to represent the proportion of underpaid nurses in the hospital. Give an interpretation of this interval. [4] (ii) Suppose that in another hospital, 12% of the 120 nurses employed are underpaid. Construct a 90% confidence interval for the difference in proportions of nurses being underpaid at both hospitals. [4]
Answer: (i) Interval for proportion of underpaid nurses: 0.15 ± 0.0415.
(ii) Interval for difference in proportion: 0.03 ± 0.0641
Step-by-step explanation: Confidence Interval for a representation of the proportion is calculated by:
[tex]p_{hat}[/tex] ± z.[tex]\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }[/tex]
(i) [tex]p_{hat}[/tex] is the proportion, in this case, of underpaid nurses: [tex]p_{hat}[/tex] = 0.15
Confidence Interval is 90%, so z = 1.645
The interval is:
0.15 ± 1.645.[tex]\sqrt{\frac{0.15(0.85)}{200} }[/tex]
0.15 ± 1.645*0.0252
0.15 ± 0.0415
Which means that, in 90% of times, the proportion of underpaid nurses wil be between 0.1085 and 0.1915.
(ii) For the difference in proportions:
[tex]p_{hat_1}-p_{hat_2}[/tex] ± z.[tex]\sqrt{\frac{p_{hat_1}(1-p_{hat_1})}{n_{1}}+\frac{p_{hat_2}(1-p_{hat_2})}{n_{2}} }[/tex]
The proportion for the second hospital is [tex]p_{hat_2}[/tex] = 0.12 and, since it is the same confidence interval, z = 1.645.
Calculating:
(0.15-0.12) ± 1.645.[tex]\sqrt{\frac{0.15(0.85)}{200} + \frac{0.12(0.88)}{120} }[/tex]
0.03 ± 1.645*0.0389
0.03 ± 0.0641
The 90% confidence interval for the difference in proportions of nurses being underpaid is between 0.0341 and 0.0941
The volume of an object is equal to the ratio of its mass to density, V = StartFraction m Over d EndFraction. The mass of a spherical grape is 8.4 grams and its density is 2 grams per cubic centimeter. What is the radius of the grape? Round to the nearest tenth of a centimeter. 1.0 cm 1.5 cm 1.9 cm 2.1 cm
Answer: 1.0cm
Step-by-step explanation:
Given the following :
Volume = Mass / Density
Given that:
Mass of spherical grape = 8.4g
Density = 2g/cm^3
Radius of the grape =?
Volume of grape = mass of grape / density of grape
Volume = 8.4g / 2g/cm^3
Volume = 4.2cm^3
Volume of a sphere = (4/3)πr^3
4.2 = 4/3 * 3.14 * r^3
4.2 = (12 * r^3) / 3
4.2 × 3 = (12 * r^3)
12.6 = 12r^3
r^3 = 12.6/12
r^3 = 1.05
r = 1.01639635681
r = 1.0 cm ( to the nearest tenth)
Answer:
1.0 cm
Step-by-step explanation:
The nth term of a sequence is n(n - 1).
What are the first four terms?
What is the 50th term?
Is 59 a term in the sequence?
Which term is 182?
The ______ th term
Answer:
T1=0
T2=2
T3=6
T4=12
T50=2450
59 is not a term in the sequence
Step-by-step explanation:
Tn=n(n-1)
182=n2 - n
0=n2 - n - 182
0=n2-14n+13n-182
0=n(n-14)+13(n-14)
0=(n-14) (n+13)
Since n cannot be negative n is not equal to -13
Therefore,
n=14
Find the product: (-4x - 3y)( - 2x + y)
A. 8x2– 3y2
B. 8x2 + 10xy - 3y2
D. 8x2 2xy - 3y2
The median of the values in a data set is x. If 32 were subtracted from each
of the values in the data set, what would be the median of the resulting data?
A. X+32
B. X-32
C. X
D. 32 - x
Answer:
The answer is B: (x-32)
Answer:
B
Step-by-step explanation:
ape.x
Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age? i need it with explanation pls
Answer:
5
Step-by-step explanation:
Fifteen years from now Ravi's age will be four times his present age. What is Ravi's present age? So, Ravi′s present age is 5 years.
