Colin, Sara and Gordon share some sweets in the ratio 2:5:3. Colin gets 26 sweets. How many sweets are there altogether?

Answer:

Hey man! Just saw this and that answer is not correct! I see how you were thinking tho. Here is how it should be graphed.

Step-by-step explanation:

I have marked the correct dots in green.

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[tex]y = f(x) = 2x + 5[/tex]

[tex]f(2) = 2(2) + 5[/tex]

[tex]f(2) = 4 + 5[/tex]

[tex]f(2) = 9[/tex]

Thus ;

[tex]( \: 2 \: , \: 9 \: )[/tex]

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Answer:

9

Step-by-step explanation:

Answer:

P(X ≥ 3) = 0.94538

Step-by-step explanation:

When flipping a coin, probability of getting a tail is p= 0.5.

Number of times flipped; n = 10

Now, this is a binomial probability distribution problem with the formula;

P(X = x) = C(n, r) × p^(x) × (1 - p)^(n - x)

Probability of getting at least 3 tails is;

P(X ≥ 3) = P(3) + P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10)

P(3) = C(10, 3) × 0.5³ × (1 - 0.5)^(10 - 3)

P(3) = 0.1172

P(4) = C(10, 4) × 0.5⁴ × (1 - 0.5)^(10 - 4)

P(4) = 0.2051

From online binomial probability calculator, we have the remaining as;

P(5) = 0.2461

P(6) = 0.2051

P(7) = 0.1172

P(8) = 0.0439

P(9) = 0.0098

P(10) = 0.00098

Thus;

P(X ≥ 3) = 0.1172 + 0.2051 + 0.2461 + 0.2051 + 0.1172 + 0.0439 + 0.0098 + 0.00098

P(X ≥ 3) = 0.94538

Answer:

c. $1,291.30

Step-by-step explanation:

Calculation what will his new annual homeowners insurance premium be

Insurance premium= [$1,106.30+ ($0.37/ $100*$50,000)]

Insurance premium=$1,106.30+$185

Insurance premium=$1,291.30

Therefore what his new annual homeowners insurance premium will be is $1,291.30

Answer:

c

Step-by-step explanation:

edge 2021

Answer:

4/5 of 3/4 = 3/5

2/3 of 1/4 = 1/6

Step-by-step explanation:

Answer:

$8333.3

Step-by-step explanation:

The problem here is to find the principal that will yield an interest of $500 in a year at a rate of 6%.

   Interest  = [tex]\frac{PRT}{100}[/tex]  

P is the principal

R is the rate

T is the time

The time is 1 year;

      500  = [tex]\frac{P x 6 x 1}{100}[/tex]

           6P = 50000

             P  = [tex]\frac{50000}{6}[/tex]   = $8333.3

Answer:

If a graph is an Euler Circuit that mean that it can be traversed and begins and has all even verticies.  This allows you to start and stop at the same verticie.

Step-by-step explanation:

The x intercept is (9/2,0) or (4.5,0). The y intercept is (0,-1):)

Answer:

108 ounces is equal to 6.75 pounds.

Step-by-step explanation:

Answer:

Your answer is: 6.75 pounds

108 ounces equal to about 7 pounds if you round.

Step-by-step explanation:

Hope this helped : )

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Joe = 6

J + K = 11

Kay = 5

K + S = 7

Sara = 2

Step-by-step explanation:

24=3n-15 or,25+15=3n or,39=3n or,39/3=n or,n=13 therefore the value of n is 13. I think this answer is helpful for you

Answer: n = 13

Step-by-step explanation:

24=3(n-5) - First  distribute the 3 to the n and the 5. Which you would than get 3n and -15

24=3n-15 - Now add the 15 to both sides which would cause it to cancel out on the left side of the equal side.

39=3n - Now divide the 3 from 3n on both sides of the equal side.

n=13 - Once you do that you will get n = 13. That is your answer!

Answer:

12 x 12 = 144, 12 x 13 = 156

Step-by-step explanation:

Answer:

The sample size bedded is   [tex]n =41[/tex]

Step-by-step explanation:

From the question we are told that

   The margin of error is  [tex]E = 0.100[/tex]

    The sample proportion is  [tex]\^ p = 0.45[/tex]

From the question we are told the confidence level is  80% , hence the level of significance is    

      [tex]\alpha = (100 - 80) \%[/tex]

=>   [tex]\alpha = 0.20[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.282[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=> [tex]n = [\frac{1.282}{ 0.100} ]^2 *0.45 (1 - 0.45 ) [/tex]

=> [tex]n =41[/tex]

Answer:

74° is the answer

In the triangle

112°+33°+a=180. (sum of angles of triangle)

a=180-145

a=35°

a+b+71°=180. (linear pair)

35°+b+71°=180

b=180-106

{b= 74°}

Answer:

10

Step-by-step explanation:

so x=true/false questions

y=multiple-choice questions

2x+4y=100

2x=y

plug in 2x for y in the first equation

2x+4(2x)=100

10x=100

x=10

y=20

The total questions would include 10 true/false questions and 20 multiple-choice questions.

We have Mr. Dudley who is writing a test for his mathematics class. The test will have true/false questions worth 2 points each and multiple-choice questions worth 4 points each for a total of 100 points. He wants to have twice as many multiple-choice questions as true/false questions.

We have to determine how many true/false questions and multiple-choice questions will be on the test.

The modelling of equation is done to derive a mathematical relation among the terms defined in a mathematical statement.

According to the question -

Assume that the number of true/false questions be x.

Assume that the number of multiple-choice questions be y.

Then -

y = 2x

Points for each true/false questions - 2 points

Points for each multiple-choice questions -  4 points

Total points of test = 100 points

Now,

Model the equation on the basis of above information -

2x + 4y = 100

2x + 4 (2x) = 100

2x + 8x = 100

10x = 100

x = 10

Therefore -

y = 2x = 2 x 10 = 20

Hence, the total questions would include 10 true/false questions and 20 multiple-choice questions.

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Answer:

1082.99

Step-by-step explanation:

2927 - 100%;

x - 37%;

=> x = (37*2927)/100 = 1082.99

Answer:

its b :) im pretty sure

Step-by-step explanation:

Answer:

The ratio of their volumes is not the same 4:1, but [tex](4:1)^3[/tex] = 64:1.

Step-by-step explanation:

Measurements in Similar Figures

In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the other corresponding lengths can also be expressed as a:b.

In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the areas can be expressed as (a:b)^2 and the ratio of the volumes can be expressed as (a:b)^3.

We are given the ratio of the sides of two similar prisms as 4:1. The ratio of their volumes is not the same 4:1, but [tex]\mathbf{(4:1)^3}[/tex] = 64:1.

Answer:

7.64 in.

Step-by-step explanation:

The diameter of the circle whose circumference is 24 inches is 7.654 inches.

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

The circumference of the circle, C = 24 inches,

Calculate the radius of the circle as shown below,

Circumference = [tex]2\pi r[/tex]

C = 2 × π r

r = 24 / 2π

r = 3.819

r = 3.82 inches

Calculate the diameter as shown below,

Diameter = 2 × r

Diameter = 2 × 3.82

Diameter = 7.639 inches

Thus, the diameter is 7.64 inches.

To know more about circle:

https://brainly.com/question/266951

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Answer:

A

Step-by-step explanation:

-2/3 = -4/6, -4/6 + -4/6 = -8/6 = -4/3

Answer: D. -4/3

Step-by-step explanation:

-2/3 + -4/6

make the denominators the same

so -2 * 2 and 3 * 2 = -4/6

-4/6 + -4/6 = -8/6 = -4/3

Answer:

A

B

C

Step-by-step explanation:

Answer:

Between 2.25 and 2.5

Step-by-step explanation:

The square root of 6 is 2.4494.... which is closer to 2.5

Answer:

20

Step-by-step explanation

ANSWER

For 739, the answer is: prime anslo written as B

Step-by-step explanation:

739 is a prime number because it has only two distinct divisors: 1 and itself (739).

HAVE A GOOD DAY!

Answer:

its neither

Step-by-step explanation:

you have four years 1767 dollars in account

Answer:

$14300

Step-by-step explanation:

30% is the same as .3

They are raising 5k more to the 6k so 5000+6000= 11000

.3*11000= 3300...so the trustee is adding 3300 to the fund, making the total fund 3300+11000= $14300

Answer:

Step-by-step explanation:

Step(i):-

Given equation is sin x cos x = -1/4

                           [tex]2(2sinxcosx) = -1[/tex]

we know that trigonometry formula

                             2 sin x  cos x = sin 2x

                            2 ( sin 2 x) = -1

                                sin2x = -1/2

Step(ii):-

                            sin2x =    [tex]\frac{-1}{2} = sin (\pi +\frac{\pi}{6}[/tex]