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During one month, the mean high temperature in Boise, Idaho, was 52.1°F with a standard deviation of 6.5° F. During the same month, the mean high temperature in Death Valley, California, was 81.9° F with a standard deviation of 6.4° F. Select all the statements that are true. ​

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].

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]

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:

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:

Answer:

the second one

Step-by-step explanation:

Answer:

[tex]\frac{5\pi }{2}\:ft[/tex] (Option D)

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL 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]

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°

Answer:

Okay so

Directions: find the value of x?

122 + 68 divided by 2

x = 95 degrees

Step-by-step explanation:

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:)

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.

Answer:

The second number in an ordered pie of numbers that corresponds to a point on a coordinate system is the y-value.

Answer:

3 and 5 show how to convert 18 inches into yards

Answer:

Numer 3 and number 5.

Answer:

(-26, 32)

Step-by-step explanation:

Answer:

2(23)+29

2(23)+29

=528

Step-by-step explanation:

The area of square four is a² + b² + 2ab

The 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

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

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

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]

Answer:

Interesting... go on.

Step-by-step explanation:

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.

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!

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-Chetan K

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

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.

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

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

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!!

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