Answer:
B. The average high temperature in Death Valley was greater than the average in Boise
C. The variation of high temperature in Death valley was about the same as the variation in Boise
Step-by-step explanation:
Step 1: In a normal distribution, about 95% of the values are ±2 standard deviations from the mean. ±2 standard deviation from the mean high temperature of Boise is 39.1 to 65.1. Therefore, option A is wrong
Step 2: The average temperature high temperature of each of the places isngiven by their mean high temperatures.
The mean high temperature in Boise, Idaho, was 52.1°F while the mean high temperature in Death Valley, California, was 81.9°F.
Difference between the mean high temperatures is (81.9 - 52.1) = 29.8°F
Therefore, the average high temperature in Death Valley was greater than the average in Boise. Option B is correct.
Step 3: Standard deviation measures how spread out data is. It is a measure of variation of data.
The standard deviation of the high temperature in Boise, Idaho was 6.5° F, while the standard deviation of the high temperature in Death Valley, California was 6.4° F. This two values are about the same. Therefore, option C is correct.
Step 4: In a normal distribution, about 68% of the values are ±1 standard deviations from the mean. ±1 standard deviation from the mean high temperature of Death Valley is 75.5 to 88.3. Therefore, option D is wrong
Step 5: In a normal distribution, about 99.7% of the values are ±3 standard deviations from the mean. ±3 standard deviation from the mean high temperature of Boise is 32.6 to 71.6. Therefore, option E is wrong
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Answer:
Interesting... go on.
Step-by-step explanation:
How does the author introduce the theme of
unrequited, or unanswered, love?
1)by opening the play with Duke Orsino's attempt to
drown his love in music
2)by showing that Duke Orsino surrounds himself with flowers
3)by hinting at tragedy when Curio mentions the hunt
4)by shocking the reader with Olivia's refusal of Duke Orsino's affectionsAn artist built a wooden sculpture in the shape shown below.
Answer:
4
Step-by-step explanation:
The Author - Shakespeare introduces the theme of unrequited love by indicating the refusal of Olivia regarding Duke Orsino's affections.
The play opens with the Duke listening trying to drown his feeling with music. He so openly and unashamedly professes his love for one whose consent he had yet to gauge or decipher.
The bouts of refusal begins with Valentines message declining him from delivering the Dukes message.
pls help ill mark brainliest!:) thank you<3
Answer:
(-26, 32)
Step-by-step explanation:
PLEASE I NEED HELP I DONT UNDERSTAND HOW TO DO ILL GIVW MORE IF RIGHT
Answer:
the second one
Step-by-step explanation:
Given
Given 15 cot A = 8, find sin A and sec A.
Answer:
[tex]sin A = \frac{15}{17}, \ sec A = \frac{17}8[/tex]
Step-by-step explanation:
[tex]15cot A = 8\\\\cotA = \frac{8}{15}\\\\1 + cot^2A = cosec^2 A\\\\1 + (\frac{8}{15})^2 = cosec^2 A\\\\1 + \frac{64}{225} = cosec^2A\\\\\frac{225+64}{225} = cosec^2 A\\\\cosec^2 A = \frac{289}{225}\\\\cosec A = \frac{17}{15}\\\\That \ is, \ \frac{1}{sin A} = \frac{17}{15}\\\\sin A = \frac{15}{17}[/tex]
[tex]cot A = \frac{8}{15}\\\\\frac{cos A}{sinA} = \frac{8}{15}\\\\cos A = \frac{8}{15} \times sin A = \frac{8}{15} \times \frac{15}{17} = \frac{8}{17}\\\\\frac{1}{cosA} = \frac{17}{8}\\\\sec A = \frac{17}{8}[/tex]
find the centre of the circle 4x^2+4y^2+16x- 24y-52=0
Answer:
(- 2, 3 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
Given
4x² + 4y² + 16x - 24y - 52 = 0 ( divide through by 4 )
x² + y² + 4x - 6y - 13 = 0 ← add 13 to both sides and rearrange terms on left side
x² + 4x + y² - 6y = 13
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(2)x + 4 + y² + 2(- 3)y + 9 = 13 + 4 + 9
(x + 2)² + (y - 3)² = 26 ← in standard form
with centre (- 2, 3 )
Answer:
Centre at [tex](-2,3)[/tex].
Step-by-step explanation:
Use the general formula for a circle to answer this question. The general formula is :
[tex](x-a)^2+(y-b)^2=r^2[/tex], where [tex](a,b)[/tex]is the centre of the circle and [tex]r[/tex] is the radius of the circle.
We have to get the equation we've been given into the general form. We can do this by completing the square as follows:
[tex]4x^2+16x+4y^2-24y-52=0[/tex] -Group like terms together.
[tex]x^2+4x+y^2-6y-13=0[/tex] - Divide by common factor of 4.
[tex](x+2)^2+(y-3)^2=26[/tex] - Complete the square and move constant to the other sides.
Now that it's in the general form we can find the centre. Centre at [tex](-2,3)[/tex].
Application:
Sharone took 2-hours to complete her science
project. She took 140 minutes to complete her math
homework. Which assignment did she spend more
time completing? How many more minutes did she
take?
Solve for x.
2x + 4
4x - 88
x = [?]
Solve mixture problems. George wishes to increase the percent of acid in 50m / of a 15% acid solution in water to 25% acid, how much pure acid must you add?
Answer:
x = amount of pure acid to be added = 6.67ml
Step-by-step explanation:
George wishes to increase the percent of acid in 50ml of a 15% acid solution in water to 25% acid, how much pure acid must you add?
let
x = amount of pure acid to be added
15% of 50 + x = 25% of 50 + x
(0.15 * 50) + x = 0.25(50 + x)
7.5 + x = 12.5 + 0.25x
Collect like terms
x - 0.25x = 12.5 - 7.5
0.75x = 5
x = 5/0.75
x = 6.6666666666666
Approximately,
x = 6.67
x = amount of pure acid to be added = 6.67ml
Write an expression for the area of square 4 by combining the areas of the four triangles and the two squares.
The area of square four is a² + b² + 2ab
How to calculate the area of square and triangleThe area of a square = l²
The Area so the two square = a² + b²
Area of the triangles = 4(0.5ab) = 2ab
Add the area together
Area of the square four = area of square + area of 4 triangles
Area of the square four = a² + b² + 2ab
Hence the area of the square four is a² + b² + 2ab
Learn more on area of square here: https://brainly.com/question/13389992
help pls bc im so bad at math
Answer:
x = 3
Step-by-step explanation:
sum of all angles of a quadrilateral = 360
76 + 104 + 104 + 25x + 1 = 360
25x + 285 = 360
25x = 360 - 285
25x = 75
x = 75/ 25
x = 3
ull get better at math soon:)
pleaseee help me! :(
Answer:
x=27
Step-by-step explanation:
2x+6 = 60 because equaliteral triangle has 60 degrees per angle, and trangle with sum of all angles = 180 degrees
60=2x+6
54=2x
x=27
I NEED HELP ASAP! In a magic square, the sum of the numbers in each row, column, and diagonal is the same. Write and solve equations to find the values of a, b, and c.
Answer:
[tex]a=22,\\b=31,\\c=13[/tex]
Step-by-step explanation:
When choosing equations to write, make sure you choose a pair that allow you to isolate a variable and solve for it.
Sample solution:
[tex]a+25+28=16+25+34,\\\\a+28=16+34,\\a+28=50,\\a=\boxed{22}[/tex]
[tex]16+b+28=16+25+34,\\b+44=75,\\b=\boxed{31}[/tex]
[tex]34+c+28=16+25+34,\\c+28=41,\\c=\boxed{13}[/tex]
Please help! I need to show my work also! -2x^3+x^9
Answer:
2(23)+29
2(23)+29
=528
Step-by-step explanation:
(GIVING BRAINLIEST). Daria earns $17.50 per customer when she gives haircuts. If she gave x haircuts on Monday and y haircuts on Tuesday, which expression
shows the amount of money she earned? A) 17.50/x+y B) 17.50 (x+y) C) 17.50x+y. D)17.50xy
Answer:
B. 17.50(x + y)
Step-by-step explanation:
So lets find the equation for monday:
It would be 17.50 times x
or:
17.50(x)
For Tuesday:
17.50 times y
17.50(y)
17.50(x) + 17.50 (y) = 17.50(x+y)
Or B.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The second number in an ordered pie of numbers that corresponds to a point on a coordinate system is the
Answer:
The second number in an ordered pie of numbers that corresponds to a point on a coordinate system is the y-value.
Pls help due in a few min
Answer:
3 and 5 show how to convert 18 inches into yards
Answer:
Numer 3 and number 5.
help i need i the answer asp pls
Answer:
E and F
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{m+n}[/tex] , then
[tex]5^{4}[/tex] × [tex]5^{x}[/tex] = [tex]5^{4+x}[/tex] → F
or
[tex]5^{4}[/tex] × [tex]5^{x}[/tex] = 625 × [tex]5^{x}[/tex] → E
Find the arc length of the semicircle
Answer:
Arc length of the semicircle is 12.57 cm.
Step-by-step explanation:
From the given picture,
Measure of diameter = 8 units
Radius of the semicircle = [tex]\frac{\text{Diameter}}{2}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4 units
Since, circumference of a semicircle is given by the expression,
C = πr
Here, r = radius of the semicircle
Circumference of the given semicircle = π(4)
= 4π
= 12.57 cm
Therefore, arc length of the semicircle is 12.57 cm.
Answer:
Its 16 pi
Step-by-step explanation:
Note: Angles not necessarily drawn to scale
Answer:
for finding x
x+133=180(being linear pair)
x=180-133
x=47 degree
Step-by-step explanation:
Answer:
47°
Step-by-step explanation:
→ Work out APD
133°
→ Find the sum of APC and DPB
360 - ( 133 + 133 ) = 94
→ Divide the answer by 2
94 ÷ 2 = 47°
plss help me!!
Find the length of the arc.
Answer:
[tex]\frac{5\pi }{2}\:ft[/tex] (Option D)
Step-by-step explanation:
GIVEN :-
Angle subtended by the arc at center (θ) = 90°Radius of the circle = 5 ft.TO FIND :-
Length of the arcGENERAL FORMULAE TO BE USED IN THIS QUESTION :-
Lets say an arc subtends ∠θ at the center of the circle whose radius is 'r'.
[tex]=> Length \; of \; the \; arc = \theta \times \frac{\pi r}{180}[/tex]
SOLUTION :-
Length of the arc = [tex]\theta \times \frac{\pi r}{180} = 90 \times \frac{5\pi }{180} =\frac{5\pi }{2}[/tex]
A baseball card that was valued at $200 in 1980 has increased in value by 7% each year. Write a function to model this situation, then find the value of the card in 2016
Answer:
$2284.6
Step-by-step explanation:
Given data
Principal= $200
Rate= 7%
Time= 1980-2016= 36 years
The expression for the exponential model is given as
A= P(b)^t
b=1+r-----------because will are dealing with increase
A= P(1+r)^t
A=200(1+0.07)^36
A= 200(1.07)^36
A= 200*11.423
A=$2284.6
The value of the card is $2284.6
Help me with this please ❤️
Answer:
B
Step-by-step explanation:
If he had $72 total and brought 9 tickets, you will need to divide. 72/9 is equal to 8. 9x=72
x represents 8
Answer:
$8
Step-by-step explanation:
let the ticket cost be x then purchasing 9 tickets gives
9x = 72 ( divide both sides by 9 )
x = 8
Each ticket cost $8
The owners of a large pet store have determined that 65\ee, percent of their customers own dogs. They select 151515 customers at random to survey. Let DDD be the number of customers they survey who have dogs.What type of variable is DDD
Answer:
D is a binomial random variable with [tex]p = 0.65, n = 15[/tex]
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they have dogs, or they do not. The probability of a customer having a dog is independent of any other customer. This means that D is a binomial random variable.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
65% of the customers have dogs:
This means that [tex]p = 0.65[/tex]
15 customers:
This means that [tex]n = 15[/tex]
What type of variable is D?
D is a binomial random variable with [tex]p = 0.65, n = 15[/tex]
Answer:
binomial
Step-by-step explanation:
Nicole received a $15.00 gift card for a photo center. She used it to buy prints that cost 7 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following.
What is the remaining balance on the card if Nicole bought 50 prints?
Answer:
$11.50
Step-by-step explanation:
Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50
Therefore, the remaining balance on the card is $11.50
Please mark my answer as brainliest, it will help a lot.
What is the value of x for the parallelogram year shown?
Answer:
Step-by-step explanation:
A+B+C+D=360 degree(sum of all sides of a parallelogram)
60+4x+60+4x=360
120+8x=360
8x=360-120
x=240/8
x=30
Find the value of x.
Answer:
Okay so
Directions: find the value of x?
122 + 68 divided by 2
x = 95 degrees
Step-by-step explanation:
HELP I WILL MARK BRANLIEST
Answer:
[tex]A) 22.5cm[/tex]
Step-by-step explanation:
[tex]\frac{AB}{BC} =\frac{FG}{GH}[/tex]
⇒ [tex]\frac{9}{15} =\frac{13.5}{x}[/tex]
⇒ [tex]\frac{9}{15} =\frac{13.5}{x} [cross ~multiply][/tex]
⇒ [tex]9x=202.5[/tex]
⇒[tex]\frac{9x}{9} =\frac{202.5}{9} ~[divide~both ~sides~by ~9][/tex]
⇒ [tex]x=22.5[/tex]
------------------------
hope it helps...
have a great day!!
If I where to spend between $100 and $150 on groceries every week, what type of expense would groceries be? (Just double checking)
What is the circumference of a circle with a radius of 34 meters?
(Use 27
as an estimate for a.)
A. 7 meters
O
B. 11 meters
C. 22 meters
D. 44 meters
Answer:
2 x 3.14 x 3 1/2
(make each a fraction)
2/1 x 314/100 x 3 1/2 = 21 49/50 around 22, C is your answer.