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katovenus [111]

2 years ago

9

Math : 44 is 55% of what

2 answers:

Firlakuza [10]2 years ago

7 0

The answer would be 80. You would do 44 times 100, then divide by 55.

Minchanka [31]2 years ago

5 0

44 is 55% of 80

Answer:80

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Write in point-slope form the equation of the line that is parallel to the given line and passes through the given point.Your fi

SOVA2 [1]

Answer:

$y = x$

Step-by-step explanation:

The given equation is

$y = x + 5$

The slope of this line

$m = 1$

Since all parallel lines have the same slope, the slope of our line is also m=1.

We now use the point-slope formula

$y-y_1=m(x-x_1)$

Since the line passes through (-1,-1)

We gave

$x_1=-1,y_1=-1$

We substitute the slope and point to get

$y - - 1 = 1(x - - 1)$

$y + 1 = x + 1$

$y = x$

6 0

3 years ago

Show that if u+v and u-v are orthognal, then the vectors u and v must have the same length.

pashok25 [27]

Answer with Step-by-step explanation:

We are given that

u+ v and u-v are orthogonal

We have to prove that u and v must have the same length.

When two vector a and b are orthogonal then

$a\cdot b=0$

By using the property

$(u+v)\cdot (u-v)=0$

We know that

$(a+b)\cdot (a-b)=\mid a\mid^2-\mid b\mid^2$

$\mid u\mid ^2-\mid v\mid^2=0$

$\mid u\mid^2=\mid v\mid^2$

Magnitude is always positive

When power of base on both sides are equal then base will be equal

Therefore,

$\mid u\mid=\mid v\mid$

Hence, the length of vectors u and v must have the same length.

5 0

3 years ago

the weight M of an object on Mars varies directly as it’s weight E on Earth. A person who weighs 95 lb on Earth weighs 38 lb on

lorasvet [3.4K]

Answer:

A 100 lb person will weight 40 lb on Mars

Step-by-step explanation:

Given:

Weight on Mars directly varies as its weight on earth.

Let weight on Mars be = $M$

Let weight on Earth be = $E$

Its known that:

$M$ ∝ $E$

Thus

$M=kE$

where $k$ is constant of proportionality.

when $E=95\ lb$ , then $M=38\ lb$

thus, we have

$38=k(95)$

dividing both sides by 95.

$\frac{38}{95}=\frac{k(95)}{95}$

∴ $k=\frac{38}{95}$

Thus when $E= 100$ , $M$ would be calculated as

$M=\frac{38}{95}\times 100$

$M=\frac{3800}{95}$

∴ $M=40\ lb$ (Answer)

∴ A 100 lb person will weight 40 lb on Mars.

8 0

2 years ago

The sentence "the length of a rectangle is 6 feet more than the width" can be translated as / = 6 + w.

matrenka [14]

Answer:

true

Step-by-step explanation:

if the width is w and the length is l then 6 more than the width is w+6 and that is equal to the length so l = w+6

7 0

3 years ago

A die with six faces has the number 1 painted on three of its faces, the number 2 painted on 2 of its faces, and number 3 on one

salantis [7]

Answer:

a) S = {1, 2, 3}

b) P(odd number) = $\frac{2}{3}$

c) No

d) Yes

Step-by-step explanation:

a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}

However, the sample is not equiprobable because each element has different probabilities.

b) P(odd number) = $\frac{number of odd digits}{number of faces}=\frac{4}{6}=\frac{2}{3}$

Note that the odd numbers are 1 (on three faces) and 3 (on one face).

c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.

d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:

Let's assume the probability for 1 or 2 is $x$ . Then that of 3 is $2x$ (because it is twice the others). The sum of probabilities must be 1.

$x+x+x+x+x+2x=1$

$7x=1$

$x=\frac{1}{7}$

P(odd number) = $3\times$ Prob(1) + Prob(3)

= $3\times\frac{1}{7}+\frac{2}{7}$ = $\frac{5}{7}$

7 0

2 years ago