a campus radio station surveyed 500 students to determine the types of music they like. the survey revealed that 206 like rock, 161 like country, and 118 like jazz. moreover, 30 like rock and country, 27 like rock and jazz, 22 like country and jazz, and 11 like all three types of music. what is the probability that a randomly selected student likes jazz or country but not rock? note: a venn diagram may be useful here. a) 0.400 b) 0.300 c) 0.522 d) 0.262 e) 0.422 f) none of the above.

The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

For the stated data;

Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.

There are total 9 digits (0 - 9).

There are total 26 letter (A - Z)

Repetitions of letters and numbers given allowed.

Thus, numbers and the letters ca be arranged as;

1st place = 9 ways.

2nd place = 9 ways.

3nd place = 9 ways.

4th place = 26 ways.

6th place = 26 ways.

7th place = 9 ways.

8th place = 9 ways.

Total ways = 9×9×9×26×26×9×9

Total ways = 39917124

Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

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The post-split market capitalization of Walnut Creek Inc. is $12995089.

Given that, Walnut Creek Inc. is going to do a revers stock split with a 3:4 ratio. The current price per share is $234.75 and the current number of outstanding shares is 38,750,000.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 3+4 = 7

Now, 1/7 × 38,750,000

= 5535714 .29 shares

So, capitalization is 5535714 × 234.75

= $12995089

Therefore, The post-split market capitalization of Walnut Creek Inc. is $12995089.

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Step-by-step explanation:

the picture is very blurry.

I understand we need the y-intercept in every case and then move the pictures into the empty frames based on sorting these numbers from lowest to highest.

the y-intercept is the point, where a function/curve intersects the y-axis.

in other words, it is the y-value of the point, where x = 0.

so,

1. 0

2. -6

3. looks like -2 (again, very blurry)

4. looks like +2

5. +6

6. +4

sorting these gives us

2. -6 3. -2 1. 0 4. +2 6. +4 5. +6

therefore the 6 frames need to receive the original pictures in that sequence.

Find the degree of the equation to determine if linear.

Linear

The weight of the salad at the cost of $7.28 will be 31.9 ounces.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that at Sascha's Salad Bar, customers make their own salads and pay by ounce. Jenny paid $6.16 for a 22-ounce salad. Seth spent $7.28 on a salad.

$6.16 ⇒ 22 ounces

$1 ⇒ 22 / $6.16

$7.28 ⇒ ( 22 x 7.28 ) / $6.16

$7.18 ⇒ 31.9 ounces

Therefore, the weight of the salad at the cost of $7.28 will be 31.9 ounces.

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Answer:

719.412

Step-by-step explanation:

S(x)=-.228x^2+8.154x-8.3 x=7 feet

Plug in 7 for x, you'll convert to inches at the end

S(x)=.228(7^2) +8.154(7)-8.3

S=49(.228)+8.154(7)-8.3

S=11.173+57.078-8.3

S=59.951

Multiply by 12 to get inches

719.412

(If this answer doesn't work then you probably need to convert to inches before plugging in for x. 7 x 12=84 so plug that in.)

Answer:

yes, you did it right!

Step-by-step explanation:

You firsth calculate how much 15% of £600 are.
You did it exactly right. It's £90.
And to work out rhe value of the shares one week later, you add the £90 to the £600.

0.57 mi²  = 15,890,688 ft² after converting square miles in square foot.

The given conversion in question is-

0.57 mi²  = __ ft²

We know that

1 mi²  = 27,878,400 ft²

Then, multiply both sides by 0.57

1 x 0.57 mi²  = 27,878,400 x 0.57 ft²

0.57 mi²  = 15,890,688 ft²

Thus, the conversion of 0.57 mi²  = 15,890,688 ft².

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Answer:

Step-by-step explanation: 7w-12+(-15w+60)= 7w-12-15w-60= -8w-72

-8w-72 is the answer or -8(w+9) if you take out a -8

The required simplified solution of the sum of the expressions is -8w + 48

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To add 7w-12 and -15w+60
According to the question,
= 7w - 12 - 15w + 60
= 7w - 15w + 60 - 12
= -8w + 48

Thus, the required simplified solution of the sum of the expressions is -8w + 48

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Answer:

  23346

Step-by-step explanation:

You want to know the number of hits on Grace's website 7 weeks from now if she gets 38,800 now and the number decreases 7% per week.

The growth factor per week is ...

  growth factor = 1 + growth rate

The growth rate of hits is -7% per week, so this is ...

  growth factor = 1 -7% = 0.93

The exponential function describing the number of hits can be written ...

  hits = (initial value)(growth factor)^weeks

  hits = 38,800(0.93^weeks)

Then in 7 weeks, the number of hits is expected to be ...

  hits = 38,800(0.93^7) ≈ 23,346

Grace can expect to get about 23,346 hits in 7 weeks.

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Answer:

y = 1/8 x - 9/2

Step-by-step explanation:

slope of line q = 1/8

y-(-2)= 1/8(x-2)

y+2 = 1/8 x - 1/4

y = 1/8 x - 1/4 - 2

y = 1/8 x + (-1-8)/2

y = 1/8 x -9/2

The day which has the least change in temperature is Wednesday.

The day which has the least change in temperature can be calculated by finding the change in temperature:

Monday = High temperature - low temperature

= 82° - 58°

= 24°

Tuesday = High temperature - low temperature

= 85° - 60°

= 25°

Wednesday = High temperature - low temperature

= 77° - 62°

= 15°

Thursday = High temperature - low temperature

= 68° - 50°

= 18°

Friday = High temperature - low temperature

= 75° - 48°

= 27°

Saturday = High temperature - low temperature

= 70° - 52°

= 22°

Sunday = High temperature - low temperature

= 84° - 56°

= 28°

The day which has the least change in temperature is Wednesday

Which two consecutive days which showed a drop in temperature: Wednesday and Thursday with 77° and 68° respectively.

Unlike line graph, table graph is the graph that is easier to read.

Therefore, the graph which best illustrate the graph is table graph because it represent the data in a clearer way.

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Answer:

x = -6

Step-by-step explanation:

x - 2 = x (4) + 16

x - 2 = 4x + 16

4x - x = -2 - 16

3x = -18

3/3 x = -18/3

x = -6

The error was made in the Step 1 as Distributive property of multiplication was not used correctly  .

In the question ,

it is given that

the equation is 2x -(1/4)(12x+4)= 3

Step 1 : by using the distributive property of multiplication ,

we get

2x - (1/4)*12x -(1/4)*4 = 3

2x - 3x - 1 = 3

So , after the first step the equation should be 2x - 3x - 1 = 3

we see that the  Distributive property of multiplication , was not used properly as the negative sign was not distributed to both the terms .

So ,  Step 1 is wrong.

Step 2 : Adding like terms

we get ,

-x - 1 = 3

Step 3 : Adding 1 to both the sides ,

we get

-x - 1 [tex]+[/tex] 1 = 3 + 1

Step 4:

-x = 4

x = -4

Therefore ,The error was made in the Step 1 as Distributive property of multiplication was not used correctly  .

The given question is incomplete , the complete question is

An equation and the steps to solve it are shown below:

2x -(1/4)(12x+4)= 3

Step 1: 2x + 3x + 1 = 3

Step 2: 5x+1=3

Step 3: 5x+1-1=3-1

Step 4: 5x = 2

In which step was the error made and why?

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Answer:

4.5

Step-by-step explanation:

45/10=4.5

Answer:

vyfyxfrr6c*"8&"; hxh6 byhd,tf7zg5gzyfe55eE4E45w522

Step-by-step explanation:

6dyxg9yyfz6t bztrfr 4.Sabina the tortoise is an 56,123 way of Policy for recharge of the angles and tricks of Policy in order for me and I have a wonderful experience and a

With the help of permutanions and combinations we can conclude the answer.

acc to our question-

Hence ,permutanions and combinations concept helped us to reach our solution.

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Answer:

B.

Step-by-step explanation:

Answer:

a = 1

Step-by-step explanation:

Given equation,

→ 7(5a - 4) - 1 = 14 - 8

Now the value of a will be,

→ 7(5a - 4) - 1 = 14 - 8

→ 35a - 28 - 1 = 6

→ 35a - 29 = 6

→ 35a = 6 + 29

→ a = 35/35

→ [ a = 1 ]

Hence, the value of a is 1.

Answer:

Step-by-step explanation:

The line perpendicular to y = 4 will be a vertical line through the point (−2, 1). The equation of the vertical line is x = −2.

Answer:

2x^2

__________

x+3 | 3

2x + 2

3

- 2 x - 3

_________

R = - 1

the number of Red sweets=14

Let the probability of getting a red sweet be = P(R)

Let the probability of getting a Blue sweet be = P(B)

Let the probability of getting an orange sweet be = P(O)

Let the probability of getting a yellow sweet be = P(Y)

Let the number of Red sweets be represented as = n(R)

Let the number of Yellow sweets be represented as = n(Y)

Let the number of Orange sweets be represented as = n(O)

Let the number of Blue sweets be represented as = n(B)

Let the total number of sweets in the jar be represented as = n(T)

P(B) = 0.5

P(E) = 0.2

P(R) = 2 x P(O)

The formula of probability =

Number of the Sweets of a color/Total number of sweets in the jar

then,

P(B)=n(B)/ n(T)

P(B)=0.5 (Given in question)

n(B)=20 (Given in question)

So,

0.5 = 20/n(T)

5/10 = 20/n(T)

5/10 x 1/20 = 1/n(T)

cross multiplying

n(T)=10/5 x 20

dividing 10 by 5 =2

n(T) = 2 x 20

n(T) = 40

P(Y)=0.2 (Given in question)

Applying the formula of probability

P(Y) = n(Y)/n(T)

putting values

0.2=n(Y)/40

2/10=n(Y)/40

2/10 x 40 =n(Y)

Dividing 40 by 10 = 4

n(Y)= 2 x 4

n(Y)= 8

P(R)=2P(O)

Applying the formula of probability

n(R)/n(T)=2n(O)/n(T)

Cancelling out n(T) with n(T)

So,

n(R)=2 x n(O) -(i)

n(T) = n(O)+n(R)+n(B)+n(Y)

putting values

40=n(O)+n(R)+20+8

40=n(O)+n(R)+28

40-18=n(O)+n(R)

From -(i)

22=2n(O)+n(O)  

22=3n(O)

n(O)=22/3

Since,

n(R)=2xn(O)

n(R)=2x22/3

n(R)=44/3

n(R)=14.6

the number of Red sweets=14.6

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The length of the base edge of the given square pyramid is 3.67 feet.

What is the Surface Area?

The sum of all an item's faces makes up the surface area of a three-dimensional object. When wrapping, painting, and finally creating things to get the finest possible design, we apply the idea of surface areas of various items in real life.

What is a Square Pyramid?

Steps to Calculate the Base Edge Length of Square Pyramid

The formula for surface area of square pyramid is given by, [tex]SA=a^{2} +2a\sqrt{\frac{a^{2} }{4}+h^{2} }[/tex],    -----(1)

where [tex]a[/tex] is the length of the base edge and [tex]h[/tex] is the square pyramid height.

In the question, it is given that the surface area of the square pyramid is 96 square feet.

The height of the square pyramid is two-thirds of the base edge length.

[tex]\implies h=\frac{2a}{3}[/tex]  ------(2)

Now substituting the given values in (1), we get

[tex]96=a^{2} +2a\sqrt{\frac{a^{2} }{4}+(\frac{2a}{3} )^{2} }\\\implies 96=a^{2} +2a\sqrt{\frac{a^{2} }{4}+\frac{4a^{2} }{9} }[/tex]

Simplifying, we get

[tex]96=a^{2} +2a\times 0.834a^{2} \\\implies 96=a^{2} +1.668a^{3} \\\implies 1.668a^{3}+a^{2} -96=0[/tex]

Finally, we get the value of [tex]a=3.67[/tex] feet.

Therefore, the base edge length of the given square pyramid is 3.67 feet.

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Answer:

answer: -35

Step-by-step explanation:

if it's not sorry

Answer:

-12

Step-by-step explanation:

5x+(-y)+8-6x+9y

Answer: 9/3

Step-by-step explanation: the trriangles proportion is three and 9/3=3

Answer:

Step-by-step explanation:

weight of 1 sheet= (28/7)g

                            =4g

1.5kg=1.5 X 1000g

         =1500g

no. of papers that will weigh 1.5 kg= 1500/4

                                                          =375

Answer:  375 sheets of paper

Step-by-step explanation: First, to find the weight of one sheet of paper, we can do 28 divided by 7 to get 4 grams. Then, since 1.5 kg is 1500 grams, we can do 1500 divided by 4, which equals 375. So, 375 sheets of paper will weigh 1.5 kg.

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Answer:

These fractions are equivalent, with 4/7 being the simplest form of both.

Step-by-step explanation:

8/14 can be simplified to 4/7 also by dividing both sides by two :)

The length and width of a rectangle that maximises the enclosed area are 800 yards. The maximum area is 640,000 square yards.

In the given question we have to find the maximum area of the rectangular area.

Liana has 3200 yards of fencing to enclose a rectangle.

As we know that the perimeter of rectangle

P= 2(l+b)

Let length of the rectangle is x yards and width is y yards.

So the equation should be

2(x+y) = 3200

Divide by 2 on both side we get

x+y = 1600................(1)

From the area of rectangle is

A = xy

From the equation the value of y is 1600-x.

Now putting the value of y

A = x(1600-x)

A = 1600x-x^2

On differentiating

dA/dx = 1600-2x

Putting dA/dx=0

1600-2x=0

Subtract 1600 on both side we get

-2x= -1600

Divide by -2 on both side we get

x = 800 yards

Now putting the value of x in the y=1600-x

y=1600-800

y=800 yards

So the maximum area is

A= 800*800

A= 640,000 square yards

Hence, the length and width of a rectangle that maximises the enclosed area are 800 yards. 640,000 square yards is the maximum area.

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Answer:

Reflection

Step-by-step explanation:

Reflection is like looking at yourself through a mirror, so it would be the same for sound.

Tell me if this is correct.!

Answer:

Reflection

Step-by-step explanation:

i took this quiz

Answer:

C

Step-by-step explanation:

C has a directly proportional relationship. 27 glasses are in 9 cases, and 81 glasses are in 27 cases. Directly proportional since 9×3=27 (cases) and 27×3=81 (glasses)