In the finals of a singing contest at Greenvale Middle School, 300 students vote on which
contestant they liked best. The circle graph shows the results of the vote. How many
more votes did Gamba get than Ahmed?

This question is incomplete, the complete question is;

Trevor is interested in purchasing the local hardware/electronic goods store in a small town in South Ohio. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 60% of the business days it is open. Estimate the probability that the store will gross over $850 at least 6 out of 10 business day

Answer:

P( at least 6 out of 10 business days ) = 0.6312

Step-by-step explanation:

Given the data in the question;

p = 60% = 0.6

q = 1 - p = 1 - 0.6 = 0.4

Using Binomial distribution;

P( X = r ) = [tex]^nC_r p^rq^{n-r[/tex]

where [tex]^nC_r = n!/(r!(n-r))[/tex]

we substitute

P( at leas 6 ) = P(6) + P(7) + P(8) + P(9) + P(10)

= [¹⁰C₆ × 0.6⁶ × 0.4⁴] + [¹⁰C₇ × 0.6⁷ × 0.4³] + [¹⁰C₈ × 0.6⁸ × 0.4²] + [¹⁰C₉ × 0.6⁹ × 0.4¹] + [¹⁰C₁₀ × 0.6¹⁰ × 0.4⁰]

= [0.250] + [0.214] + [0.1209] + [ 0.0403] + [ 0.00604 ]

= 0.6312

Therefore, P( at least 6 out of 10 business days ) = 0.6312

Answer:

[tex]\left[ 60- pounds][/tex]

Step-by-step explanation:

Ratio of tomatoes to onions = 5:9

so now it will be

5x: 108

we can solve it by doing this

x = 108/9

x = 12

so we multiply

5*x = 5x

5*12 = 60

She would need 60 pounds

Answer:

8,2

Step-by-step explanation:

Answer:

The answer is 45

Step-by-step explanation:

35+10=45

Answer:

he placed a * sign instead of an add sign in the second part of the equation

Step-by-step explanation:

6(2b+5)=6*2b + 6*5 = 12b + 30

Answer:

62

Step-by-step explanation:

Since you are simply finding the perimeter, I assume they just want you to add all the sides. 13 + 15 + 10 + 10 + 14 = 62

Answer:

0.5398

Step-by-step explanation:

Given that :

Total possible numbers vice presidents invited = 7

Required number of vice presidents invited = 1

Probability that a certain vice president is invited ;

P(a certain V. P is invited) = required outcome / Total possible outcomes

P(a certain V. P is invited) = 1/ 7

P(1 of the V. P's hasn't been invited to attend any of the last 4 games)

Then ; it means any of the remaining (7 - 1) = 6 has been invited ;

Hence,

P(1 of the V. P's hasn't been invited to attend any of the last 4 games) = ((7-1) / 7)^4

Likelihood that it could be due to chance :

(6/7)^4 = 0.5397750

= 0.5398

Answer:

8

Step-by-step explanation:

-2 x -2 = 4

4 - (-28 / 7 = -4)

4-  -4 = 8

Answer:

6(x + 9) (x + 9)

or

[tex]6 (x+9)^{2}[/tex]

Step-by-step explanation:

[tex]468 + 108x + 6x^{2} \\6x^{2} +108x + 468[/tex]

Greatest common factor of 6, 108, and 486:

6 x 1 = 6

6 x 18 = 108

6 x 81 = 486

GCF: 6

so:

[tex]6(x^{2} +18x +81)[/tex]

[tex]x^{2} +18x + 81[/tex]

factors to:

(x + 9) (x + 9)

because:

9 x 9 = 81

9 + 9 = 18

So:

It factors completely too:

6(x + 9) (x + 9)

or

[tex]6 (x+9)^{2}[/tex]

Answer:

1/3

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

The answer is 3/4 because 1/2 can be turned into 2/4 so the denominators are equal and then you add 1/4 and 3/4

2/4=1/2 because they are both a half

Answer:

I'm pretty sure its 11

first orginize the numbers in numerical order

second the medj an is the middle numbe, if they are to find the mean of those two only

Answer:

My answer is 43 its that rigth

Answer:

1/4 chance or 0.25 or 25%

Step-by-step explanation:

One forth of cards in a deck are spades

Answer:

1/4

Step-by-step explanation:

In a deck of cards, there are 52 cards (not including jokers)

and there are 13 cards that are spades, so it's simply just 13/52 which simplifies to 1/4

Answer:

3

Step-by-step explanation:

to get enough pie for 32 people, each of the 4 pies would need to be 8 slices. since they each get 1 of 8 it would be 1/8

Answer:

n(M) = 4

Step-by-step explanation:

M = (2,4,6,8)

n(M) = Number of values in set M.

n(M) = 4

The solution to the equation 5x - 4 = 2x + 20 is x = 8 which can be determined by simplification process.

To solve for x in the equation 5x - 4 = 2x + 20, we can follow these steps:

Start by isolating the x terms on one side of the equation. We can do this by subtracting 2x from both sides:

(5x - 2x) - 4 = (2x - 2x) + 20]

Simplifying:

3x - 4 = 20

Next, isolate the constant term on the opposite side of the equation by adding 4 to both sides:

(3x - 4) + 4 = 20 + 4

Simplifying:

3x = 24

Finally, solve for x by dividing both sides of the equation by 3:

(3x)/3 = 24/3

Simplifying:

x = 8

Therefore, the solution to the equation 5x - 4 = 2x + 20 is x = 8.

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Full Question-

Solve for x in the given equation  5x-4  =  2x+20​

Answer:

m=3/2 or m=1.5

Step-by-step explanation:

slope formula:

m=(y1-y2)/(x1-x2)

in order to get this we need two points such as (3,0) and (1,-3) which are points on this line. So:

m=(0-(-3))/(3-1)

m=3/2 or m=1.5

Answer:

I think it's 256

Step-by-step explanation

Answer:

256

Step-by-step explanation:

why well

it goes like this

write the 2 number as shown

16 gallons            cups

what is more gallons or cups

its gallons so

large to small

lagre to small is mutipling and small to large is dividing so u need to mutiply the amout of cups are in a gallon wichis 16 so 16 times 16 is 256 so there u go

Answer:

d) Additional information is needed to draw a proper conclusion

Step-by-step explanation:

When listening to music;

Physiological measure

Critical t > Test statistic Accept H₀

Anxiety measure

Critical t < Test statistic Reject H₀

When composing music;

Physiological measure

Critical t > Test statistic Accept H₀

Anxiety measure

Critical t > Test statistic Accept H₀

When the test statistic is larger the critical 't' we reject the hypothesis that there is no difference in the observation, and we accept the alternative hypothesis

The test results having a larger critical 't' than the test statistics suggest that there is no difference between physiological and anxiety influence of composing music on pediatric asthma patients

However, given that when listening to music, the critical 't' is lest than the test statistic for the anxiety parameter of the participants, there is sufficient statistical evidence to suggest that there in an influence on the anxiety of pediatric asthma patients when they listen to music, however, it is not stated if the anxiety increases or decreases, therefore additional information is needed

Answer:

The number he think of is 15

Step-by-step explanation:

Let x be the number

3x + 9 = 54

x = (54-9) / 3

x = 15

The number he think of is 15

Answer:

15

Step-by-step explanation:

3x + 9 = 54

x = (54-9) / 3

x = 15

Answer:

Step-by-step explanation:

3h = 3×7, not 37.

3h + 13 = 3×7 + 13 = 34

Answer:

No

Step-by-step explanation:

No, she is not able to pay for her meal with 20 dollars. The first step to solve this problem is to add up 13.10 and 5.90 so you can see how much money Ms. Wright has to spend on the food and drinks alone. 13.10 + 5.90 is 19. Since there are 5% and 3% of taxes on all food and beverages, there is 8% in total of taxes. 8% of 19 is 1.52. 19 plus 1.52 is 20.52 which is greater than 20. Therefore, Ms. Wright cannot pay for her meal with 20 dollars.

Answer:

the answer is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

144/2=72

5×72=360

...........

Answer:

25

Step-by-step explanation:

Answer:

The minimum cost is $17.30c

Step-by-step explanation:

Given

[tex]V = 288[/tex] --- Volume

[tex]C_1 = 0.06[/tex] --- cost of wall paint

[tex]C_2 = 0.16[/tex] ---cost of ceiling paint

Required

Minimum cost of paint

The volume is calculated as:

[tex]V =xyz[/tex]

Substitute 288 for V

[tex]288 =xyz[/tex]

Make z the subject

[tex]z = \frac{288}{xy}[/tex]

The surface area is calculated as:

[tex]Area = 2(yz + xz) + xy[/tex]

Because xy represent the dimension of the ceiling and the opposite of the ceiling (the floor) will not be painted. Hence, it does not require a coefficient of 2

The cost is:

[tex]C = 0.06 * 2(yz + xz) + 0.16 * xy[/tex]

Substitute [tex]z = \frac{288}{xy}[/tex]

[tex]C = 0.06 * 2(y*\frac{288}{xy} + x*\frac{288}{xy}) + 0.16 * xy[/tex]

[tex]C = 0.06 * 2(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy[/tex]

[tex]C = 0.12(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy[/tex]

[tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 * xy[/tex]

[tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy[/tex]

Differentiate w.r.t x and y

[tex]C_x = -\frac{34.56}{x^2} + 0.16y[/tex]

[tex]C_y = -\frac{34.56}{y^2} + 0.16x[/tex]

By comparison: [tex]x = y[/tex]

Set them equal to 0

[tex]C_y = -\frac{34.56}{y^2} + 0.16x=0[/tex]

[tex]-\frac{34.56}{y^2} + 0.16x=0\\[/tex]

Substitute x for y

[tex]-\frac{34.56}{x^2} + 0.16x=0[/tex]

[tex]0.16x=\frac{34.56}{x^2}[/tex]

Cross multiply

[tex]0.16x^3 = 34.56[/tex]

[tex]x^3 = \frac{34.56}{0.16}[/tex]

[tex]x^3 = 216[/tex]

Take the cube root of both sides

[tex]x = \sqrt[3]{216}[/tex]

[tex]x = 6[/tex]

[tex]x=y= 6[/tex]

Substitute 6 for x and for y in [tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy[/tex]

[tex]C = (\frac{34.56}{6} + \frac{34.56}{6}) + 0.16 * 6* 6[/tex]

[tex]C = (\frac{2*34.56}{6}) + 5.76[/tex]

[tex]C = 11.52 + 5.76[/tex]

[tex]C = 17.28[/tex]

[tex]C = 17.3[/tex] --- approximated