The temperatures (in degrees Fahrenheit) in Long Island recorded by the weather bureau over a week were 42, 49, 53, 55, 50, 47, and 52. Which measure should the weather bureau use to find the middle temperature of the week?

Answer:

0.9974

Step-by-step explanation:

[tex]arcsin( \frac{1}{7} ) = 0.1433 \\ cos( \frac{0.1433}{2} ) = 0.9974[/tex]

Answer:

mean is 2 brothers.

mean, means average

P(the recipient is male)= 40.5%

p(the degree is a bachelors) = 52%

p(the recipient is female, given that the degree is advanced)  = 56.2%

p( the degree is not an associates, given that the recipient is male) = 78.4%

Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

P(the recipient is male) = total number of males / total number of recipients

1136/2803 = 40.5%

p(the degree is a bachelors) = total number of bachelors degree / total number of degree

= 1456 / 2803 = 52%

p(the recipient is female, given that the degree is advanced) = total number of females with advanced degree / total number of advanced dgree

376 / 669 = 56.2%

p( the degree is not an associates, given that the recipient is male) = number of males that that have degrees other than associates / total number of males

891 / 1136 = 78.4%

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Answer:

A. -2

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Number of pizza=12

Number of students=4

Therefore,4/12=4/4

=1/3

Answer:

13 m

Step-by-step explanation:

The equation that represents the solution of x is x = 2 - y/2

The equation is given as:

14x + 7y = 28

Divide through by 7

2x + y = 4

Subtract y from both sides

2x = 4 - y

Divide both sides by 2

x = 2 - y/2

Hence, the equation that represents the solution of x is x = 2 - y/2

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Answer:

x=120°

Step-by-step explanation:

sum of all angles in a triangle is equal to 180

let the unknown angle be

[tex] \alpha [/tex]

[tex]60 + 60 + \alpha = 180 \\ \alpha = 180 - 60 - 60 \\ \alpha = 60 \\ [/tex]

[tex] \alpha + x = 180 \\ x = 180 - \alpha \\ x = 180 - 60 \\ x = 120[/tex]

Answer:

Number of terms  = 31.

Step-by-step explanation:

Sum of n terms of an A S with first term 1 and common difference 1:-

496 = (n/2)(2(1) + 1(n - 1))

496 = (n/2)(n + 1)

n^2/2 + n/2 = 496   Multiply through by 2:-

n^2 + n = 992

n^2 + n - 992 = 0

(n - 31)(n + 32) = 0

n = 31   (we ignore the negative).

Answer:

Step-by-step explanation:

Multiplying or dividing an inequality by a negative number requires that the inequality symbol be reversed.

__

To solve this inequality, we can divide by the coefficient of x, which is -8. Dividing by -8 means we need to reverse the inequality symbol.

_____

Additional comment

Actually, applying any function that has a negative slope means the ordering is reversed. That is the more general case.

Here, we're specifically concerned with division by a negative number. You can see the effect on the ordering relation by considering ...

The total number of inches yards that she have is 6.95 yards

Given the following parameters

Amount of red yards = 4.2 inches

Amount of blue yards = 2.75inches

In order to determine the total yards, the sum of the yards is expressed as:

Total yards = 4.2 + 2.75

Total yards = 6.95 yards

Hence the total number of inches yards that she have is 6.95 yards

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Answer: B

Step-by-step explanation: There are many less face cards in the deck than other cards, you would think youre getting 3 points each time rather than thinking 10 points each time

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]-2x+4y=8\implies 4y=2x+8\implies y=\cfrac{2x+8}{4} \\\\\\ y=\cfrac{2x}{4}+\cfrac{8}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+2\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

since we know that's its slope, then

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1}\implies -2}}[/tex]

so then we're really looking for the equation of a line whose slope is -2 and passes through (2 , 1)

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad \qquad \stackrel{slope}{m}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-2}(x-\stackrel{x_1}{2}) \\\\\\ y-1=-2x-4\implies y=-2x-3[/tex]

Answer:

18cm

Step-by-step explanation:

Given:

- The length of AB is 9 centimeters

- A dilation with a scale factor of 2

The length of the image AB after the dilation is applied:

9 x 2 = 18

dilation is used to make an image or in this case AB, with a scale factor of 2 means that its doubling in size. If the scale factor was 1/2 that it would be decreasing in size since it will be half of the original size

Answer:

y = 3x + 3

Step-by-step explanation:

when you check, only that equation delivers the correct x and y pairs.

x = 0, => y = 3×0 + 3 = 3

x = 1, y = 3×1 + 3 = 3+3 = 6

x = 2, y = 3×2 + 3 = 6 + 3 = 9

x = 3, y = 3×3 + 3 = 9 + 3 = 12

it all fits.

Answer:

Step-by-step explanation:

167.00 / 100 = $1.67

Answer:

33v - 48

Step-by-step explanation:

- 9v - 6(8 - 7v) ← multiply each term in the parenthesis by - 6

= - 9v - 48 + 42v ← collect like terms

= 33v - 48

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - 9v - 6(8 - 7v)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 9v - [(6 \times 8) - (6 \times 7v)][/tex]

[tex]\qquad \sf  \dashrightarrow \: - 9v - (48 - 42v)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 9v - 48 + 42v[/tex]

[tex]\qquad \sf  \dashrightarrow \:33v - 48[/tex]

Hope it helps ~

[tex]\csc \theta \tan \theta - \tan \theta \sin \theta \\\\\\=\dfrac 1{\sin \theta} \cdot \dfrac{\sin \theta }{\cos \theta }- \dfrac{\sin \theta }{\cos \theta} \cdot \sin \theta\\\\\\=\dfrac{1}{\cos \theta}-\dfrac{\sin^2 \theta}{\cos \theta}\\\\\\=\dfrac{1- \sin^2 \theta}{\cos \theta}\\\\\\=\dfrac{\cos^2 \theta}{\cos \theta}~~~~~~~~~~~~~~;[\sin^2 \theta + \cos^2 \theta =1 ]\\\\\\=\cos \theta[/tex]

Let's write out some trigonometric identities that we can use:

Now let's try solving them out:

  [tex]csc(x)tan(x)-tan(x)sin(x)=\frac{1}{sin(x)}tan(x)-sin(x)tan(x)\\\\ csc(x)tan(x)-tan(x)sin(x)=tan(x)(\frac{1}{sin(x)}-sin(x))\\\\ csc(x)tan(x)-tan(x)sin(x)=tan(x)(\frac{1}{sin(x)} -\frac{sin^2(x)}{sin(x)} )\\\\csc(x)tan(x)-tan(x)sin(x)=tan(x)*(\frac{1-sin^2(x)}{sin(x)} )\\\\csc(x)tan(x)-tan(x)sin(x)=\frac{sin(x)}{cos(x)}*\frac{cos^2(x)}{sin(x)} \\\\csc(x)tan(x)-tan(x)sin(x)=\frac{sin(x)}{sin(x)}*\frac{cos^2(x)}{cos(x)}\\\\csc(x)tan(x)-tan(x)sin(x)=1 * cos(x)\\\\ csc(x)tan(x)-tan(x)sin(x)=cos(x)[/tex]

  *I used a different variable, but that doesn't change the answer

Answer: cos(x)

Hope that helps!

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Answer:

y intercept: 65

rate of change: $2.75

Step-by-step explanation:

Really quite simple lad. Your equation is y=2.75x+65. 65 is your y-intercept, and you have a rate of change of 2.75 per bouquet.

The limit of the expressions [tex]3^{2n} + 1[/tex] and [tex]4^{n + 2} - 3[/tex] for n to infinity is infinity

The expressions are given as:

[tex]3^{2n} + 1[/tex]

[tex]4^{n + 2} - 3[/tex]

The limits of the expressions as they approach infinity are represented as:

[tex]\lim_{n \to \infty} 3^{2n} + 1[/tex] and [tex]\lim_{n \to \infty} 4^{n + 2} - 3[/tex]

Substitute [tex]\infty[/tex] for n in both expressions

[tex]\lim_{n \to \infty} 3^{2 * \infty} + 1[/tex] and [tex]\lim_{n \to \infty} 4^{\infty + 2} - 3[/tex]

Solve both expressions independently;

[tex]\lim_{n \to \infty} 3^{2n} + 1 = 3^{2 * \infty} + 1[/tex]

Evaluate the product

[tex]\lim_{n \to \infty} 3^{2n} + 1 = 3^{\infty} + 1[/tex]

Evaluate the exponent

[tex]\lim_{n \to \infty} 3^{2n} + 1 = \infty + 1[/tex]

Evaluate the sum

[tex]\lim_{n \to \infty} 3^{2n} + 1 = \infty[/tex]

Also, we have:

[tex]\lim_{n \to \infty} 4^{n + 2} - 3 = 4^{\infty + 2} - 3[/tex]

Evaluate the sum

[tex]\lim_{n \to \infty} 4^{n + 2} - 3 = 4^{\infty} - 3[/tex]

Evaluate the exponent

[tex]\lim_{n \to \infty} 4^{n + 2} - 3 =\infty - 3[/tex]

Evaluate the difference

[tex]\lim_{n \to \infty} 4^{n + 2} - 3 =\infty[/tex]

Hence, the limit of the expressions for n to infinity is infinity

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Answer:

cross multiplication

x

Step-by-step explanation:

the volume of a rectangular block or tank is

length × width × height

so, it is like all regular 3D objects

base area × height.

so, we get

120 × 75 × 48 = 374,400 m³ = 3.744 × 10⁵ m³

why ?

374,400 = 374400 × 10⁰ = 37440 × 10¹ =

= 3744 × 10² = 374.4 × 10³ = 37.44 × 10⁴ =

= 3.744 × 10⁵

Answer:

129060

Step-by-step explanation:

135 000 - .044(135000) = 129 060

Answer:

hope you understand......