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3 years ago

Amy and Beth share some money in the ratio 3:5.

Mathematics

2 answers:

o-na [289]3 years ago

8 0

Ans: £12 hope it helps

Digiron [165]3 years ago

5 0

Make ratio -
Amy : Ben
3:5
18:?

3/8 = 18/?

what number will make 3 to 18 ? its 6.. so 8 times with 6 too. thus will get 48.
now, amy have 18 and beth have 48-18=30.

to get the difference, 30-18 = 12.

thats the final answer ^^

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A normal distribution curve, where x = 70 and σ = 15, was created by a teacher using her students’ grades. What information abou

alexira [117]

The <em><u>correct answer</u></em> is:

We can conclude that 68% of the scores were between 55 and 85; 95% of the scores were between 40 and 100; and 99.7% of the scores were between 25 and 100.

Explanation:

The empirical rule tells us that in a normal curve, 68% of data lie within 1 standard deviation of the mean; 95% of data lie within 2 standard deviations of the mean; and 99.7% of data lie within 3 standard deviations of the mean.

The mean is 70 and the standard deviation is 15. This means 1 standard deviation below the mean is 70-15 = 55 and one standard deviation above the mean is 70+15 = 85. 68% of data will fall between these two scores.

2 standard deviations below the mean is 70-15(2) = 40 and two standard deviations above the mean is 70+15(2) = 100. 95% of data will fall between these two scores.

3 standard deviations below the mean is 70-15(3) = 25 and three standard deviations above the mean is 70+15(3) = 115. However, a student cannot score above 100%; this means 99.7% of data fall between 25 and 100.

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3 years ago

Read 2 more answers

What is the value of x?

Elden [556K]

Answer:

x = 8

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve for x

The square on the hypotenuse is equal to the sum of the squares on the other two sides, thus

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3 years ago

Complete the square to the problem X^2+6x-16=0

marishachu [46]

Answer:

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\-------------------------------\\\\x^2+6x-16=0\qquad\text{add 16 to both sides}\\\\x^2+6x=16\\\\x^2+2(x)(3)=16\qquad\text{add}\ 3^2\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=16+3^2\\\\(x+3)^2=16+9\\\\(x+3)^2=25\Rightarrow x+3=\pm\sqrt{25}\\\\x+3=-5\ \vee\ x+3=5\qquad\text{subtract 3 from both sides}\\\\\boxed{x=-8\ \vee\ x=2}$

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3 years ago

What is the prime factor of 8

ExtremeBDS [4]

Prime factor is a factor that is a prime number.
Prime factors of :
8 : 2 × 2 × 2. Also can be written as
${2}^{3}$
12 : 2 × 2 × 3. Also can be written as
${2}^{2} \times 3$

20 : 2 × 2 × 5. Also can be written as
${2}^{2} \times 5$

30 : 2 × 3 × 5

56 : 2 × 2 × 2 ×7. Also can be written as
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70 : 2 × 5 × 7

You can find all of them by using Factor Tree [ as shown in the picture] or Dividing by prime numbers.

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3 years ago