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3 years ago

5.) There are 40

Mathematics

1 answer:

Marina86 [1]3 years ago

7 0

50 dogs and 10 cats
This creates a 5:1 ratio and allows there to be 40 more dogs than cats. 50-10 equals 40

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A marathon race participant walks at a rate of 2.5 miles per hour and runs at a rate of 5 miles per hour. The combined distance

valentinak56 [21]

Answer:

2.5x + 5y = 12.5

Step-by-step explanation:

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3 years ago

Raymond’s gas tank is 1/3 full. After he buys 11 gallons of gas, it is 5/6 full. How many gallons can Raymond’s tank hold?

Andrews [41]

22 I believe. You take 1/3 and make it 2/6 and that's a 3/6 difference so 11 gallons is half the tank then just multiply 11•2=22

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2 years ago

How do you solve this

Katen [24]

Answer:

4x^-4/9y^6

Step-by-step explanation:

If the exponent is outside the bracket, it means that all the terms inside will be raised to that exponent. This means that:

(2x^-2 / 3y^3)^2 = 2^2*(x^-2)^2 / 3^2*(y^3)^2

When exponents are raised to an exponent, the exponents are multiplied together, so (x^-2)^2 will = x^(-2*2) = x^-4

Going through:

2^2*(x^-2)^2 / 3^2*(y^3)^2

=4*x^-4 / 9*y^6

=4x^-4/9y^6

Hope this helped!

8 0

3 years ago

Suppose that the national average for the math portion of the College Board's SAT is 510. The College Board periodically rescale

Marta_Voda [28]

Answer:

a) 0.1587 b) 0.023 c) 0.1587 d) 1.15 e)-0.95

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 510

Standard Deviation, σ = 100

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(score greater than 610)

P(x > 610)

$P( x > 610) = P( z > \displaystyle\frac{610 - 510}{100}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 610) = 1 - 0.8413 = 0.1587 = 15.87\%$

b) P(score greater than 710)

$P(x > 710) = P(z > \displaystyle\frac{710-510}{100}) = P(z > 2)\\\\P( z > 2) = 1 - P(z \leq 2)$

Calculating the value from the standard normal table we have,

$1 - 0.977 = 0.023 = 2.3\%\\P( x > 710) = 2.3\%$

c)P(score between 410 and 510)

$P(410 \leq x \leq 510) = P(\displaystyle\frac{410 - 510}{100} \leq z \leq \displaystyle\frac{510-510}{100}) = P(-1 \leq z \leq 0)\\\\= P(z \leq 0) - P(z < -1)\\= 0.500 - 0.159 = 0.341 = 34.1\%$

$P(410 \leq x \leq 510) = 34.1\%$

d) x = 625

$z_{score} = \displaystyle\frac{625 - 510}{100} = \displaystyle\frac{115}{100} = 1.15$

e) x = 415

$z_{score} = \displaystyle\frac{415 - 510}{100} = \displaystyle\frac{-95}{100} = -0.95$

8 0

3 years ago

Hardest questions please help<br> Please

Nonamiya [84]

Banalties for the second question i think!

7 0

3 years ago

Read 2 more answers