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3 years ago

Father is four times as old as Mary. Five years ago he was seven times as old. How old is the father now?

Mathematics

1 answer:

melamori03 [73]3 years ago

7 0

Answer:

If Father is four times older than Mary, that would be 4 times 10-- which equals 40. Five years ago, Mary must have been 5 years old. So, multiply 7 and 5 and you'll get 35! Father would have been 35 years old.

I hope this helps!

Step-by-step explanation:

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noname [10]

Answer:

Step-by-step explanation:

8 0

3 years ago

Determine the amplitude or period as requested. Period of a y = - 1/3 * sin x - 1/3 pi/3 1/3 d 2pi

zysi [14]

Answer:

$Period = 2\pi$

Step-by-step explanation:

Given

$y = -\frac{1}{3} * \sin(x - \frac{1}{3})$

Required

Determine the period

A sine function is represented as:

$y =A \sin(Bx + C) + D$

Where

$Period = \frac{2\pi}{B}$

By comparing:

$y =A \sin(Bx + C) + D$ and $y = -\frac{1}{3} * \sin(x - \frac{1}{3})$

$Bx = x$

So:

$B = 1$

So, we have:

$Period = \frac{2\pi}{B}$

$Period = \frac{2\pi}{1}$

$Period = 2\pi$

Hence, the period of the function is $2\pi$

6 0

2 years ago

According to the "January theory," if the stock market is up for the month of January, it will be up for the year. If it is down

PSYCHO15rus [73]

Answer:

The required probability is 0.031918.

Step-by-step explanation:

Consider the provided information.

It is given that According to an article in The Wall Street Journal, this theory held for 22 out of the last 34 years.

Therefore n=34

The probability it is either up or down is 0.5.

Thus the value of p =0.5 and q = 0.5

Now calculate the probability

Let X is the number of years that theory held.

X has a binomial distribution with n=34 and p=0.5

$P(X=22)=\binom{34}{22}(0.5)^{22}(0.5)^{12}\\P(X=22)=\frac{34!}{22!\times 12!}(0.5)^{22}(0.5)^{12}\\P(X=22)=548354040\times 5.8207660913\times 10^{11}\\P(X=22)=0.0319184060208\\P(X=22)\approx0.031918$

Hence, the required probability is 0.031918.

8 0

3 years ago

Hello I need help jsjdbdjdjdjdkdkd

Alexandra [31]

I'll assume the question is: what's the volume?

It's two L×W×H rectangular prisms (aka boxes) put together

The bottom one is 2×3×4

The top one is 5×4×1

Volume = 2×3×4 + 5×4×1 = 24 + 20 = 44

Answer: 44 cubic feet

3 0

3 years ago

Find the solution of this system of equations.

Evgesh-ka [11]

Answer:

Step-by-step explanation:

x + 2y = 8

x - y = 2

x + 2y = 8

-x + y = -2

3y = 6

y = 2

x - 2 = 2

x = 4

(4, 2)

8 0

2 years ago