4. Higher Order Thinking Nina has a
group of pennies worth the same value
as a dime. She also has 5 dimes. How
many coins does she have in all?
coins in all

The number of students that bike to school is 18

The median is described as the middle number of a set of data when the values are arranged in an ascending order from the least to the greatest.

We should also know that the median is one of the measures of central tendency.

From the information given, we have that the data set representing the number of students is;

10, 11, 12 , 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Then, we have that the median number is;

Median = 17 + 18/2

add the values

Median = 35/2

Divide the values

Median = 18 students

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Answer:

27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

i solved the problem step by step

you are going to keep the 1/9 flip the division to multiplication and then reciept the 3/1 to 1/3.

From there you are going to multiply 1/9 and 1/3 and you get 1/27.

then you reduce which is 27.

Answer:

Quadrant I: (⅓, 2⅓)

Quadrant II: (-1⅓, 3⅓)

Quadrant III: (-3, -10) (-3⅓, -1⅓)

Quadrant IV: (9, -1)

Step-by-step explanation:

If it is (+, +), it is in quadrant I.

If it is (-, +), it is in quadrant II.

If it is (-, -), it is in quadrant III.

If it is (+, -), it is in quadrant IV.

Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

10 ÷ 8 = 1.25

Answer:

(x-3) (x-4)/(x-4)

x(x-4)-3 (x-4)/(x-4)

this is the answer!

if you have any problem tell me I will help you

Answer:

the answer is on the picture

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

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Answer:

y + 16 = 3(x + 5)

Step-by-step explanation:

When you write an equation in point-slope form, you only need two things: a point and a slope.

Given:

The standard point-slope equation is

y - y₁ = m(x - x₁)

Plug in what you know.

y - (-16) = 3(x - (-5))

Simplify.

y + 16 = 3(x + 5)

This is your equation.

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The simplified form of the expression (2 1/6 ) × (1 1/3) is 26/9.

Given the expression in the question;

(2 1/6 ) × (1 1/3)

To simplify, first convert from mixed to improper fraction.

(2 1/6 ) × (1 1/3)

( (2×6 + 1)/6 ) × (1 1/3)

( (12 + 1)/6 ) × (1 1/3)

( 13/6 ) × (1 1/3)

( 13/6 ) × (1×3 + 1/3)

( 13/6 ) × (3 + 1/3)

( 13/6 ) × (4/3)

Now, cancel the common factor 2.

13/6 × 4/3

13/3 × 2/3

( 13 × 2 ) / ( 3 × 3 )

( 26 ) / ( 9 )

26/9

Therefore, the simplified form is 26/9.

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The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)

We have,

To find the derivative of the function \(f(w) = 2/(w^2 - 4)^5\), we can use the chain rule and the power rule for differentiation.

Let's go through the steps:

First, rewrite the function as \(f(w) = 2(w^2 - 4)^{-5}.\)

Now, let's differentiate f(w) with respect to w:

\(f'(w) = d/dw~ [2(w^2 - 4)^{-5}]\)

To apply the chain rule, we need to differentiate the outer function and multiply it by the derivative of the inner function.

Using the power rule, the derivative of (w² - 4) with respect to w is 2w.

Applying the chain rule:

\(f'(w) = -10 \times 2(w^2 - 4)^{-6} \times 2w\)

Simplifying further:

\(f'(w) = -40w(w^2 - 4)^{-6}\)

Therefore,

The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)

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Answer:

-3 degrees

Step-by-step explanation:

7 - 10 = -3

Answer

Explanation

This type of depreciation follows compound interest and the value of the item after a period of time, t, is given as

A = P (1 - r)ᵗ

where

A = Amount or Value after a period of time = ?

P = Initial value of the item = $16,600

r = Rate of decrease = 14% = 0.14

t = time taken = 11

A = P (1 - r)ᵗ

A = 16,600 (1 - 0.14)¹¹

A = 16,600 (0.86)¹¹

A = 16,600 (

The measure of the vertex angle of the isosceles triangle is 96 degrees.

In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

Area: ½ × base × height

Perimeter: (2 x length of one of the long sides) + base of the isosceles triangle

We are given that;

The base angle= 42°

If an isosceles triangle has two equal angles, then the third angle (the vertex angle) must also be equal to those angles.

In this case, one of the equal angles measures 42°, so the other equal angle must also measure 42°. The sum of the angles in any triangle is 180°, so we can find the measure of the vertex angle by subtracting the sum of the two equal angles from 180°:

Vertex angle = 180° - 2(42°) = 96°

Therefore, the measure of the vertex angle in the isosceles triangle will be 96 degrees.

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Answer:

x=1/3

Step-by-step explanation:

The size οf angle JFI  =  \($$\angle JFI = 34^\circ + 112^\circ = \boxed{146^\circ}$$\)

A rhombus is a type of parallelοgram with four equal sides. Its opposite sides are parallel and its oppοsite angles are congruent.

Since\($\triangle FGJ$ is isosceles and $GF=GJ$, we have $\angle JFG = \angle FJG$. Also, $\angle JFI = \angle JFG + \angle FJI = \angle FJG + 112^\circ$.\)

Since  

\(FGHI$ is a rhombus, we have $\angle HFG = \angle FHI$, and $\angle GHI = \angle GIF$\) .

Therefοre,\($\angle FJG + \angle GIF + \angle HFG = 180^\circ$, or $\angle FJG + \angle JFI + \angle JFG = 180^\circ$\).

Substituting \($\angle JFG = \angle FJG$\) and simplifying, we get:

\($$2\angle FJG + 112^\circ = 180^\circ$$\)

Sοlving for \(\angle FJG$, we get $\angle FJG = 34^\circ$\) .

Finally, substituting back intο \($\angle JFI = \angle FJG + 112^\circ$\) , we get:

\($$\angle JFI = 34^\circ + 112^\circ = \boxed{146^\circ}$$\)

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The average score of the spelling test is 90.6%

To find the average score of the test, we need to add up all the scores and divide by the total number of students. We can think of the average score as the "typical" or "representative" score of the entire class.

First, let's add up all the scores:

2(100) + 9(95) + 10(90) + 3(80) + 1(70) = 200 + 855 + 900 + 240 + 70 = 2265

Next, we divide by the total number of students:

Average score = (2 + 9 + 10 + 3 + 1) / 25 * 100% = 25 / 25 * 100% = 90.6%

Therefore, the average score of the spelling test is 90.6% when rounded to one decimal place.

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Answer:

V= -25

Step-by-step explanation:

5 = V+30

-30          - 30

----------------------

-25 = V

so, you have to figure out 5-30 which gets you -25 and you want to get the variable by itself so you do -30 and do the inverse operation and what you do to one side has to be done to the other so when you do +30-30 it gets you nothing so those cancel

Hope this helped u sorry if incorrect and welcome to Brainly

Answer:

5.333333333 is the rational one ;) i helped on last one too! if u need more help just post.

A square has a perimeter of 24 m and an area of 36m ^ 2 The square is dilated by a scale factor of 3.The perimeter of the dilated figure is 72 m, and the area is \(324 m^2\).

Let's begin by finding the side length of the original square. Since the perimeter of the square is given as 24 m, we can divide it by 4 (as a square has four equal sides) to find the length of each side. Therefore, the original square has a side length of 6 m.

To find the perimeter of the dilated figure, we need to multiply the side length of the original square by the scale factor of 3. So, the new side length of the dilated figure is 6 m * 3 = 18 m. Since the dilated figure is also a square, all its sides are equal. Therefore, the perimeter of the dilated figure is 18 m + 18 m + 18 m + 18 m = 72 m.

To find the area of the dilated figure, we need to square the new side length of 18 m: \(18 m * 18 m = 324 m^2\). Hence, the area of the dilated figure is \(324 m^2.\)

The perimeter of the dilated figure is 72 m, and the area is \(324 m^2\).

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Answer:

Check the explanation

Step-by-step explanation:

\(H_0\):proportion of male smoker lung deaths is same for the four given tar level categories.

\(H_1\):proportion of male smoker lung deaths is not the same for the four given tar level categories.

Expected frequency=1177/4=294.25

Tar level     Observed Freq.(O)        Expected Freq.(E)         (O-E)^2/E

0-7                         107                                   294.25                120.435

8-14                        375                                  294.25                5.643

15-21                       553                                 294.25                 227.533

>=22                       183                                  294.25                 42.061

Total=                    1177                                  1177                      395.673

Total chi square score=395.673

df=4-1=3

p-value=CHIDIST(395.673,3)<0.001

p-value<0.001,Reject null hypothesis.

There is sufficient evidence that the proportion of male smoker lung deaths is not the same for the four given tar level categories.

Answer:

-1

Step-by-step explanation:

To find b, enter (x,y)=(8,1).

1 = 1/4(8) + b

1 = 2 + b

Subtract 2 on both sides ~

-1 = b

b = -1

Answer:

y= 1/4x -1, ?=1

Step-by-step explanation:

y= mx+b the slope-intercept form

y= -4x+3 the given line

perpendicular line will have a slope of -1/m, so it will be have m=1/4

The line will be:

As it passes through point (8,1),

So the equation is:

We got x = 16.54 by using Pythagorean theorem .

What is the Pythagorean theorem in plain English?

angle of semicircle is always be 90° .

   18² = 7.1² + x²

    324 = 50.41 + x²

     x² = 324 - 50.41

          = 273.59

    x = √ 273.59

    x = 16.54

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Answer: b: 100cm^2

Step-by-step explanation:

took the test :)

The area of the composite figure that is formed from a rectangle and triangle is 100 cm²

The area of the composite figure is the sum of the area of the whole figure.

Therefore, the composite figure can be divided into a triangle and a rectangle.

Hence,

area of rectangle = lw

where

area of the rectangle = 14 × 5 = 70 cm²

area of triangle = 1 / 2 bh

where

Therefore,

area of a triangle = 1 / 2 × 12 × 5

area of a triangle = 30 cm²

area of the composite figure = 30 + 70 = 100 cm²

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If graphed on the same grid, the diagrammatic representation of the parabola gives an upward curve.

The graph of the function is a diagrammatic representation of the slope, x-intercept, and y-intercept of the given function.

From the information given:

y = 2.5x²

Here,

x-intercept = (0,0)

y-intercept = (0,0)

Therefore, if graphed on the same grid, the diagrammatic representation of the parabola gives an upward curve.

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This ODE is separable as

1/(6x) dy/dx = y √(3x ² - 1)

→   dy / y = 6x √(3x ² - 1) dx

Integrate both sides:

∫ dy / y = ∫ 6x √(3x ² - 1) dx

The left side is trivial. For the right side, substitute u = 3x ² - 1 and du = 6x dx :

∫ dy / y = ∫ √u du

ln|y | = u ³′² + C

(that is, u is raised to the 3/2 power)

ln|y | = (3x ² - 1)³′² + C

Solve for y by taking the exponential of both sides:

exp(ln|y |) = exp((3x ² - 1)³′² + C )

y = exp((3x ² - 1)³′²) × exp(C )

y = C exp((3x ² - 1)³′²)

which can be written as

y = C exp(√((3x ² - 1)³))

which makes the answer none of these; this solution can't be expressed as either option given in A or B.

Answer:

$18.00

Step-by-step explanation:

I rounded the prices to the nearest dollar. Then I added all of them up.

The probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

What is probability?

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

a.

i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503

ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324

iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208

iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441

v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677

b.

i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.

ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.

iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.

iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.

v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.

c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.

Hence, the probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

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Answer:

$18 is the dependent variable

Step-by-step explanation:

$18 depends on the duration of time worked. Hope this helps and good luck on your assignment. (mark me brainliest please?)