What is the interquartile range of this data set -5,-4,-3,-2,-1,0,1,2,3,4,5,7,7,7

Answer:

$309.01

Step-by-step explanation:

To calculate tax, you need to turn the percent to a decimal.  This is done by moving the decimal point two spaces to the left, adding zeros and needed.

4.75% = 0.0475

Now take the price of the bike, 295, and multiply it by 0.0475.

295 x 0.0475 = 14.0125

All you need are the first two numbers after the decimal point since you are dealing with money.

Add the product, 14.01, to the price of the bike, 295, and you have your answer.

$309.01

Hope this helps.

Answer:

309.01

Step-by-step explanation:

Answer:

  7.2 cm

Step-by-step explanation:

For the similar triangles, the ratio of the length of the bottom side to the right side is the same:

  bottom/right = (x cm)/(6 cm) = (12 cm)/(10 cm)

  x cm = (6 cm)(12/10) = 7.2 cm

_____

Technically, x = 7.2, not 7.2 cm.

Answer:

The scenario that represents a 85% of success on a test is C. 102 out of 120 points

Step-by-step explanation:

Let's analyze which of the scenarios given, represent a 85% of success on a test, this way:

Scenario A:

56 out of 70 points = 56/70 = 0.8

This scenario represents a 80% of success

Scenario B:

78 out of 90 points = 78/90 = 0.867

This scenario represents a 86.7% of success

Scenario C:

102 out of 120 points = 102/120 = 0.85

This scenario represents a 85% of success

Answer:

  38.40 ft

Step-by-step explanation:

The problem statement tells you the proportion is ...

  height/shadow = (4 ft)/(2.4 ft) = (tree height)/(23.04 ft)

Multiplying by 23.04 ft, we find ...

  tree height = (23.04 ft)(4/2.4) = 38.40 ft

The height of the tree is 38.40 ft.

Answer:

The answer is A

Step-by-step explanation:

B (1/4x)^2 will widen the parabola

C 4x^2 is too wide to be g(x)

D (16x)^2 is too narrow to be g(x)

A is the correct answer. When graphed on desmos . com / calculator it shows this is the correct answer. I hope this helped!

Answer:

1

Step-by-step explanation:

You need to do the opposite of multiplying which is dividing so divide 6/3= 2 then you divide 2/2 which is 1

Answer:

C = -6

Step-by-step explanation:

1 +-7 =-6:::::::::::::::::::

Final answer:

Given an angle θ in Quadrant IV with cotθ = -2/17, a right triangle is formed. Using the Pythagorean theorem, the hypotenuse is calculated, and the five additional trigonometric functions of θ are determined with appropriate signs for Quadrant IV.

Explanation:

If θ is an angle in the standard position whose terminal side is in Quadrant IV and cotθ = -2/17, we can find the five remaining trigonometric functions.

The cotangent of an angle θ, which is the reciprocal of the tangent, tells us that the tangent of θ is -17/2. Since the angle is in Quadrant IV, where cosine and secant are positive but sine and cosecant are negative, we can form a right triangle within the coordinate plane to represent this scenario. In this triangle, the adjacent side (x) to the angle θ will be positive, and the opposite side (y) will be negative.

Using the Pythagorean theorem, if we assume the adjacent side to be 17 (because cotθ = adjacent/opposite), and the opposite side to be -2 (to make cotθ = 17/(-2) = -2/17), the hypotenuse (r) can be calculated as:

√(17² + (-2)²) = √(289 + 4) = √293

Now we can find the other five trigonometric functions:

The signs of these values are consistent with the properties of trigonometric functions in the fourth quadrant.

Answer:

Dave drove 168 miles during the 2nd part of the trip

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Speed of Dave for part of the trip = 55 mph

Speed of Dave the rest of the trip = 60 mph

Total time of the round trip = 4 hours 12 minutes

Total distance of the trip = 245 miles

2. How far did Dave drive during the 2nd part of his trip?

Let's recall that the formula of speed is:

Speed = Distance/Time, therefore Distance = Speed * Time

x = Time of part of the trip

4 hours 12 minutes - x = Time of the rest of the trip

4.2 hours - x = Time of the rest of the trip

Now, we can write solve for x, this way:

55 * x + 60 (4.2 - x) = 245

55x + 252 - 60x = 245

-5x = 245 - 252

-5x = -7

x = -7/-5 = 7/5 = 1.4 ⇒ 4.2 - x = 2.8

1st part of the trip = 55 * 1.4 = 77 miles

2nd part of the trip = 2.8 * 60 = 168 miles

Dave drove 168 miles during the 2nd part of the trip and 77 miles during the 1st part

Answer:

used an interest calculator

Answer:

2

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Let X be the % of total that she has saved

X/100 x 75 = 37.50

75X = 37.50 x 100

X = 37.50 x 100 / 75

= 3750/75

= 50%

Answer

h-7

Step-by-step explanation:

The value of f(7) is 35

Solution:

Given function is:

f(x) = 5x

We have to find the value of f(7)

The value of f(7) can be found by substituting x = 7 in given function

Plug in x = 7 in function

[tex]f(x) = 5x\\\\f(7) = 5(7)\\\\f(7) = 5 \times 7\\\\f(7) = 35[/tex]

Thus the value of f(7) is 35

To find f(7), substitute x = 7 into the function f(x) = 5x. The value of f(7) is 35.

To find the value of f(7) if f(x) = 5x, substitute x = 7 into the function. We get:

Therefore, the value of f(7) is 35.

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Answer:

x=1 y= 7

x=2 y= 10

x=3 y= 13

Step-by-step explanation:

y=3x+4

y=3(1)+4

=7

y=3(2)+4

=-10

y=3(3)+4

=13

For this case we have the following equation:

[tex]y = 3x + 4[/tex]

We must find the value of the variable y when the variable x takes certain values.

For [tex]x = 1:[/tex]

[tex]y = 3 (1) +4\\y = 3 + 4\\y = 7[/tex]

For [tex]x = 2:[/tex]

[tex]y = 3 (2) +4\\y = 6 + 4\\y = 10[/tex]

For [tex]x = 3:[/tex]

[tex]y = 3 (3) +4\\y = 9 + 4\\y = 13[/tex]

Thus, the values of y are 7,10,13 respectively.

Answer:

[tex]y = 7\\y = 10\\y = 13[/tex]

Find how far the car traveled in one minute by dividing distance traveled by total time:

2 5/8 miles / 3 1/2 minutes = 3/4 mile per minute.

Now for distance (D) multiply miles per minute by number of minutes (m)

D = 3/4m

A) Equation: f = 2.75p

B) 38.5 cups of flour are needed to make 14 pound cakes

Step-by-step explanation:

A)

The table shows the following data:

Pound cakes, p  3 6 9

Cups of flour, f 8.25 16.5 24.75

From the table, we notice that the increase in cups of flour needed per increase in pound cakes is:

[tex]m=\frac{16.5-8.25}{6-3}=\frac{8.25}{3}=2.75[/tex]

This means that for each additional pound  cake, we need 8.25 more cups of flour.

This is a direct relationship between the two variables, therefore we can write their relationship using the equation:

[tex]f=2.75 p[/tex]

B)

Now we can complete the table.

We have to found how many cups of flour are needed when the number of pound cakes is

p = 14

In order to do that, we use the equation found in part A):

f = 2.75p

And substituting p = 14 into the equation, we find

f = (2.75)(14)= 38.5

Which means that 38.5 cups of flour are needed to make 14 pound cakes.

Learn more about equations:

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Answer:

look at the picture shown

Answer:

boat 75

Step-by-step explanation:

Car--360/6=60

Train--400/8=50

Boat--375/5=75

Answer:

Step-by-step explanation:

car traveled= 360

                        6

train traveled= 400

                           5

boat traveled= 375

                           5

traveled:

Car= 60km/h

train= 50km/h

boat= 75km/h

Therefore BOAT WITH 75km/h has the FASTEST average speed

Hope it is a proper explanation & correct answer

STAY SAFE

Answer:

The length is 37yd

The width is 17yd

Step-by-step explanation: please see attachment for explanation

Answer:

D

Step-by-step explanation:

Note the difference between consecutive terms is constant, that is

22 - 30 = - 8

14 - 22 = - 8

6 - 14 = - 8

To obtain a term in the sequence subtract 8 from the previous term, thus

6 - 8 = - 2

- 2 - 8 = - 10

- 10 - 8 = - 18

The next 3 terms in the sequence are - 2, - 10, - 18 → D

Answer:

5 packages                 . .

Step-by-step explanation:

Answer:

5 packages of diapers

The rate of speed of jet is 104 miles per hour

The jet could cover 1144 miles in 11 hours

Given that,

A jet travels 520 miles in 5 hours

[tex]speed = \frac{distance}{time}[/tex]

[tex]Speed = \frac{520}{5}\\\\Speed = 104\ miles\ per\ hour[/tex]

Time = 11 hours

Speed = 104 miles per hour

[tex]Distance = speed \times time\\\\Distance = 104 \times 11\\\\Distance = 1144[/tex]

Thus the jet could cover 1144 miles in 11 hours

Answer:

13013

Step-by-step explanation:

Express each number in terms of the product of prime numbers.

91 = 7 × 13

143 = 11 × 13

169 = 13 × 13

Now consider the maximum number of times each factor occurs for each number.

The factor 7 occurs once

The factor 11 occurs once

The factor 13 is repeated twice ( maximum number of times for 1 number )

Thus LCM = 7 × 11 × 13 × 13 = 13013

91 = 7×13

143 = 11×13

169 = 13²

LCM = 7×11×13² = 77×169 = 13013

Answer:

Step-by-step explanation:

16.72 or 17

Answer:

16.72

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, all you would have to do is multiply 3.8*4.4

3.8*4.4=16.72

However, I'm not sure why {maybe a typo?}, but 16.72--nor any other numbers similar are listed.

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

Answer:

b 119,600

Step-by-step explanation:

250+270+26+5=551 250+270 = 520 520/551 ~94%

94% of 126,776~ 119,600

Answer:

y=2/5x-3

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=2/5(x-(-5))

y+5=2/5(x+5)

y=2/5x+2-5

y=2/5x-3

Answer:

1:10 pm

Step-by-step explanation:

60 minutes in an hour, so

8:50am + 4 hours = 12:50pm

12:50pm + 20 minutes = 1:10pm

The vertex of the function is (-6,-36).

Step-by-step explanation:

f(x) = x²+ 12x

From the above function, we can find the x- coordinate of the vertex as,

x = -b/2a

Here a = 1, b = 12

Plugin the values as,

x = -12 /(2×1) = -6

Now plug in the x value in the above function, we will get y as,

f(x) = y = x² + 12x = (-6)² + 12(-6)

                           = 36-72 = -36

So the vertex is (-6, -36).

Answer:

x = 4, y = 1---->7(4)(1) - 3 = 28 - 3 = 25

x = 1, y = 6---->1 + 4(6) = 25

x = 1, y = 3---->(1 + 3 + 1)² = 5² = 25