The following chart represents the record low temperatures recorded in Phoenix for April-November. Select the answer below that best describes the mean and the median of the data set (round answers to the nearest tenth). A graph titled Phoenix Low Temperatures has month on the x-axis and temperature (degrees Fahrenheit) on the y-axis. April, 32; May, 40; June, 50; July, 61; August, 60; September, 47; October, 34; November, 25. a. The mean is 43.5°F, and the median is 43.6°F. b. The mean is 60.5°F, and the median is 60.5°F. c. The mean is 60°F, and the median is 61°F. d. The mean is 43.6°F, and the median is 43.5°F.

Answer: B

Step-by-step explanation: The first X was 1. If you add 1 too the 1/2 in the equation, its 1 & 1/2. theres only one graph that has 1 & 1/2, and its B

The probability of getting a number greater than 5 is = 1/6

Option (b) is correct.

The number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) =0.5.

Die with numbers; 1,2,3,4,5,6

A number greater than 5 on the dice

A number greater than 5 is,6 out of which only one Number appears while throwing dice

So, using the formula :

probability(number greater than 5)= favorable outcome/ total number of outcomes

The probability of getting a number greater than 5 is = 1/6

The complete question is -

The probability of getting a number greater than 5 in throwing a die is

a) 1/3

b) 1/6

c) 3/4

d) 2/3

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Answer:

3

Step-by-step explanation:

Given

In a basket, there are white and red balls..

It can be explained

let in first two  balls you take is of different color i.e 1 white and 1 red ball

Third ball , whether you take  white or red ball you will have

two balls of same color.

if your third  ball is  red ball

then you will have 2 red balls and 1 white ball.

if your third   ball is white,

then you will have 2 white balls and 1 red balls.

Thus, 3 is the smallest number of balls you should take out .

To put it simply, if you have n balls of different colors then you need to take minimum n+1 number of balls to have at least two balls of same colors.

Answer:

1) B (66)

2) A (-36)

3) A (10)

4) B (1)

Step-by-step explanation:

Just solve the equation by using inverse operations

Answer:

$5.98 credit

Step-by-step explanation:

the slope OR "m" in y=mx in this equation is given to be: -0.16

To find the answer you know that the calling time (x) is 37 minutes, therefore you multiply 3 by -0.16 to find the credit after 37 mins

y=mx

y=(0.16)(37)

y=5.92

The probability that the individual must stop at at least one light that is 0.45.

Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.

Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -

We can write -

P{E ∪ F} = P{E} + P{F} - P{E ∩ F}

P{E ∪ F} = 0.4 + 0.2 - 0.15

P{E ∪ F} = 0.6 - 0.15

P{E ∪ F} = 0.45

Therefore, the probability that the individual must stop at at least one light that is 0.45.

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The range of the function y = 1/2 x + 2 is {0, 1, 2}, if the domain of the function is {-4, -2, 0}.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable.

The given function is,

y = 1/2 x + 2.

Also, the domain of the function is {-4, -2, 0}.

Since, the domain of the functions defines the values of x,

And range defines the value of y in function.

The value of y at x = -4

y = 1/2(-4) + 2 = -2 + 2 = 0

At x = -2,

y = 1/2(-2) + 2 = -1 + 2 = 1

At x= 0,

y = 1/2 (0) + 2 = 2

The values of y are 0, 1 and 2.

Hence, the range of the function is {0, 1, 2}.

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Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

The simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2

The expression is given as:

(√12+6)(-√8-√2)

Factor out -1

(√12+6)(-√8-√2) = -(√12+6)(√8+√2)

Expand the expression

(√12+6)(-√8-√2) = -(√96 + 6√8 + √24 + 6√2)

Evaluate the radicals

(√12+6)(-√8-√2) = -(4√6 + 12√2 + 2√6 + 6√2)

Evaluate the like terms

(√12+6)(-√8-√2) = -(6√6 + 18√2)

Open the bracket

(√12+6)(-√8-√2) = -6√6 - 18√2

Hence, the simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2

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Answer:

m8

Step-by-step explanation:

got it right on ttm

Answer:

m^8

Step-by-step explanation:

it waz right for me

For statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.

If the slope of the triangles is equal then triangle A is similar to triangle B.

In the statement  when we simplify

(5/3)=(15/9),

(5/3)=(5/3),

Then the reason for this statement is "If the slope of triangles are equal"

And the definition of slope in general is m = y/x.

Therefore, for statement 5/3, the reason is the definition of slope. And for statement (5/3)=(15/9), the reason is triangle A is similar to triangle B.

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Here mark the angles

By using angle sum property

So

So

Answer:

IH < GI < GH < FH < FG

Step-by-step explanation:

Find missing angles

Sum of interior angles of a triangle = 180°

⇒ ∠GFH = 180 - 55 - 75 = 50°

⇒ ∠IGH = 180 - 59 - 63 = 58°

Side lengths in relation to interior angles

The longest side of a triangle is opposite the largest interior angle, and the shortest side is opposite the smallest angle.

Therefore, angles/sides in order of least to greatest:

ΔIGH

∠IGH = 58  →   its opposite side is IH

∠GHI = 59  →   its opposite side is GI

∠G|H = 63  →   its opposite side is GH

Therefore,  IH < GI < GH

ΔFGH

∠GFH = 50  →  its opposite side is GH

∠FGH = 55  →   its opposite side is FH

∠FHG = 75  →   its opposite side is FG

Therefore, GH < FH < FG

Combining:  IH < GI < GH < FH < FG

Answer:

10

Step-by-step explanation:

Just add them together also u have a lenovo chromebook

Answer:

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Step-by-step explanation:

4 thread of 2(1/7) inches can be made from 8(3/4) inches.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Thread = 2(1/7) inches

Total length = 8(3/4) inches

The number of 2(1/7) inches thread.

= 8(3/4) ÷ 2(1/7)

= 8(3/4) / 2(1/7)

= 35/4 x 7/15

= 7/4 x 7/3

= 49/12

= 4.08

= 4

Thus,

4 thread of 2(1/7) inches can be made.

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The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

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According to the question ,

\(x^{1/2}\)\(x^{3/4}\)

By the rule of exponents :

\(x^{a}\) * \(x^{b}\)= \(x^{a+b}\)

Therefore ,

x^1/2 * x^3/4 = x^( 1/2 + 3/4)

                    = x^ { (2+3) /4 }

                    = x^ (5/4)

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Answer:

\(52 \sqrt[5]{7} \)

Step-by-step explanation:

\(52(7 {)}^{ \frac{1}{5} } \)

\( = 52 \sqrt[5]{7} \)

The solution is,  the original number in the work force is 190.76.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

A 35% decrease resulted in a new work force number of 124.

let, the original number in the work force is  x

then,

x - x*35% = 124

or, x - 0.35 x = 124

or, 0.65 x = 124

or, x = 190.76

Hence, The solution is,  the original number in the work force is 190.76.

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Therefore, B's share is Rs. 30,000 and C's share is Rs. 40,000.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

Let the total sum of money be x.

Then, according to the given ratio, A's share is 2/9 of the total sum, so we have:

2/9 * x = 20000

Multiplying both sides by 9/2, we get:

x = 90000

Now, we can find the shares of B and C as follows:

B's share = 3/9 * 90000 = 30000

C's share = 4/9 * 90000 = 40000

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Answer:

angles 3, 1, 7, 5

Step-by-step explanation:

suplementary angles add up to 180 degrees so

<4 + <3=180

<4 + <1 =180

<4 + <7=180

<4 + <5= 180

EXPLANATION

Let's see the facts:

We can use the Law of Cosines to calculate the unknown value:

Replacing terms:

Isolating x:

Answer is x=6.

An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

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Answer:

\sqrt(12) hope this helped.

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

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Answer:

A. \(n=100\)
B. \(k=0\)

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.