All categories

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:

You might be interested in

Assume that 63% of people are left-handed. If we select 5 people at random, find the probability of each outcome described below

mash [69]

Answer:

a. 0.9931

b. 0.3423

c. 0.3907

d. 0.2670

e. 3.15

f. 1.0796

Step-by-step explanation:

The probability of the variable that said the number of left-handed people follow a Binomial distribution, so the probability is:

$P(x)=nCx*p^{x}*(1-p)^{n-x}$

nCx is calculated as:

$nCx=\frac{n!}{x!(n-x)!}$

Where x is the number of left-handed people, n is the number of people selected at random and p is the probability that a person is left--handed. So P(x) is:

$P(x)=5Cx*0.63^{x}*(1-0.63)^{5-x}$

Then the probabilities P(0), P(1), P(2), P(3), P(4) and P(5) are:

$P(0)=5C0*0.63^{0}*(1-0.63)^{5-0}=0.0069$

$P(1)=5C1*0.63^{1}*(1-0.63)^{5-1}=0.0590$

$P(2)=5C2*0.63^{2}*(1-0.63)^{5-2}=0.2011$

$P(3)=5C3*0.63^{3}*(1-0.63)^{5-3}=0.3423$

$P(x)=5C4*0.63^{4}*(1-0.63)^{5-4}=0.2914$

$P(x)=5C5*0.63^{5}*(1-0.63)^{5-5}=0.0993$

Then, the probability P(x≥1) that there are some lefties among the 5 people is:

P(x≥1) = P(1) + P(2) + P(3) + P(4) + P(5)

P(x≥1) = 0.0590 + 0.2011 + 0.3423 + 0.2914 + 0.0993 = 0.9931

The probability P(3) that there are exactly 3 lefties in the group is:

P(3) = 0.3423

The probability P(x≥4) that there are at least 4 lefties in the group is:

P(x≥4) = P(4) + P(5) = 0.2914 + 0.0993 = 0.3907

The probability P(x≤2) that there are no more than 2 lefties in the group is:

P(x≤2) = P(0) + P(1) + P(2) = 0.0069 + 0.0590 + 0.2011 = 0.2670

On the other hand, the expected value E(x) and standard deviation S(x) of the variable that follows a binomial distribution is:

$E(x)=np=5(0.63)=3.15\\S(x)=\sqrt{np(1-p)}=\sqrt{5(0.63)(1-0.63)}=1.0796$

6 0

3 years ago

Identify a pair of similar triangles How can you tell the difference between Side-Side-Side, Side-Angle-Side, Angle-Side-Angle,

liberstina [14]

Step-by-step explanation:

SSS

SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. For example: is congruent to: (See Solving SSS Triangles to find out more) If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent

SAS

The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

ASA

ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. For example: is congruent to: (See Solving ASA Triangles to find out more)

AAS

The Angle Angle Side postulate (often abbreviated as AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

7 0

3 years ago

How do you solve thus ? 8=8v-4(v+8)

Harrizon [31]

8 = 8v - 4 (v + 8)

Distribute the 4 through the parentheses

8 = 8v - 4v - 32

combine like terms

8 = 4v - 32

add 32 to both sides

8 + 32 = 4v -32 + 32

combine like terms

40 = 4v

divide each side by 4

40/10 = v

4 = v

v= 4

8 0

3 years ago

"Expand the brackets and Simplify"<br>(pls i need help asap)

givi [52]

A) 2(1+2c)

2+4c = 2+4c

B) 6(14r-2t)

= 84r-12t

6 0

2 years ago

Roberto hikes 21.48 miles on one weekend. The next weekend he hikes 30 miles. How much less is the distance he hiked on the firs

Alex Ar [27]

Answer:

he hiked 8.52 more =)

Step-by-step explanation: