The figure on the right is a scale drawing of the figure on the left. What is the scale factor?

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

yes

Step-by-step explanation:

22/13 =1.69≈3.2

13/4 = 3.2

The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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Answer: more than :)

Step-by-step explanation:

Answer:

The product will be greater than the first factor

Answer:

1/4

Step-by-step explanation:

Since the denominatior is the same, we can look at only the numerator. So 7/8 - 5/8 is basically 7 - 5 which is 2.

The denominator doesn't change so it's 2/8. We can further simplify this into 1/4.

The side of the square in terms of the perimeter is P/4.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

P = 4s

Where s is the side of the square and P is the perimeter of the square.

Now,

The side of the square.

P = 4s

Divide 4 into both sides.

s = P/4

Thus,

The side of the square is P/4.

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We have the expression:

We simplify it as follows:

From this, we have that the solution is the B option.

Answer:

O No, because their ratios are the same

Step-by-step explanation:

By ratio, it refers to side lengths.

If we write the side lengths as fractions:

\( \frac{10}{5} \)

and

\( \frac{4}{3} \)

if we cross multiply fractions it must be equal for the triangles to be similar but the result is

30 and 20 so the triangles are not similar because the ratios are not same or equal.

Answer:

-6

Step-by-step explanation:

Answer:

-6/1 or just -6

Step-by-step explanation:

15/4 ÷ (-5/8) is -6/1 .

Find the reciprocal of the divisor

Reciprocal of (-5/8) : (-8/5)

Now, multiply it with the dividend

So, 15/4 ÷ (-5/8) = 15/4 × (-8/5)

= 15 × (-8)  = -120

   4 × (-5)   =  -20

After reducing the fraction, the answer is -6/1 or just -6.

Answer:

3

Step-by-step explanation:

We have two points

( 2,6) and (0,0)

The equation for slope

m = (y2-y1)/(x2-x1)

   = ( 6-0)/(2-0)

    = 6/2

    =3

Answer:

Slope=3

Step-by-step explanation:

Use slope formula

(0,0) (2,6)

Slope =(y2−y1)/(x2−x1)

                6−0/2−0

                    6/2=3

Slope=3

Hope this helps : )

Answer:

For each game, the player should be expected to lose $0.0263.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of each outcome:

1/38 probability of winning, that is, 1/38 probability of receiving $36.

37/38 probability of losing, that is, 37/38 probability of losing $1.

On average, how much money should a player expect to win or lose if they play this game repeatedly?

For each game:

\(E(X) = \frac{1}{38}*36 - \frac{37}{38}*1 = \frac{36 - 37}{38} = -\frac{1}{38} = -0.0263\)

For each game, the player should be expected to lose $0.0263.

Answer:

in 20 kilometers round they will meet

Answer:

\( P(x>7)\)

And for this case we can use the cumulative distribution given by:

\( F(x) =\frac{x-a}{b-a}, a \leq x \leq b\)

And if we use the complement rule and the before formula we have:

\( P(x>7) = 1- P(x<7) = 1- F(7) = 1 -\frac{7-5}{17-5}= 1- 0.1667 =0.8333\)

Step-by-step explanation:

For this problem we denote the random variable X as  the time, in minutes, it takes a barber to complete a haircut and the distribution for X is given by:

\( X \sim Unif (a=5, b=17)\)

And we want to find the following probability:

\( P(x>7)\)

And for this case we can use the cumulative distribution given by:

\( F(x) =\frac{x-a}{b-a}, a \leq x \leq b\)

And if we use the complement rule and the before formula we have:

\( P(x>7) = 1- P(x<7) = 1- F(7) = 1 -\frac{7-5}{17-5}= 1- 0.1667 =0.8333\)

The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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Answer:

0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \(\mu = E(X)\), \(\sigma = \sqrt{V(X)}\).

Assume the probability that a given registered voter will vote in the presidential election is 61%.

This means that \(p = 0.61\)

152 registed voters:

This means that \(n = 152\)

Mean and Standard deviation:

\(\mu = E(X) = 152*0.61 = 92.72\)

\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{152*0.61*0.39} = 6.01\)

Probability that no less than 95 out of 152 registered voters will vote in the presidential election.

This is, using continuity correction, \(P(X \geq 95 - 0.5) = P(X \geq 94.5)\), which is 1 subtracted by the pvalue of Z when X = 94.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{94.5 - 92.72}{6.01}\)

\(Z = 0.3\)

\(Z = 0.3\) has a pvalue of 0.6179

1 - 0.6179 = 0.3821

0.3821 = 38.21% probability that no less than 95 out of 152 registered voters will vote in the presidential election.

The value of solution of system of linear equations is,

⇒ There is one unique solution (-5, 9).

Since,

We have to given that;

A system of linear equations is shown on the graph.

Since, WE know that;

Solution of system of linear equations has its intersection point.

Here, By graph,

The intersection point of system of linear equations graph is,

⇒ (- 5, 9)

Therefore, The value of solution of system of linear equations is,

⇒ There is one unique solution (-5, 9).

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Answer:

0 because 0 is sea level, anything below is negative and anything above is positive. hope this is helpful

Step-by-step explanation:

Answer:

Its 0 :)

Step-by-step explanation:

Answer:

Likely.

Step-by-step explanation:

so easy that is

or you need explanation?

Answer:

770cents

Step-by-step explanation:

If a report is 81 pages long, 12 copies will be (81 * 12)pages long

12copies = 972 pages long

If 500 pages costs $3.96 each

972 pages will cost $x

Cross multiply

500x = 972 * 3.96

500x = 3,849.12

x = 3,849.12/500

x = 7.69824

Hence the cost of the reports is $7.69824

Convert to cents;

$1 = 100cents

$7.69824 = y

y = 7.69824 * 100

y = 769.824 cents

y ≈ 770 cents (to the nearest cent.)

Hence the paper is going to cost 770cents (to the nearest cent)

Answer:

both are mathematical sentances, what you do to one side you must do to the other, goal is to isolate variable

Step-by-step explanation:

The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.

The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.

From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).

The x-values of these points are 0, 1, and 4.

Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.

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Answer:

Find AC+CB

Step-by-step explanation:

Answer:

Find \(AC + CB\); 10

Find AB; 10

Step-By-Step Explanation:

\(AC (3) + CB (7) = 10\)

Find AB is the same thing, just phrased differently.

\(\begin{cases} x = -4\implies &x+4=0\\ x=-5\implies &x+5=0\\ x = 0\implies &x=0\\ x=\frac{1}{3}\implies &x -\frac{1}{3}=0\\ &3\left( x -\frac{1}{3} \right)=3(0)\\ &3x-1=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ (x+4)(x+5)(x)(3x-1)=\stackrel{\textit{original equation}}{0} \\\\\\ (x^2+9x+20)(x)(3x-1)=y\implies (x^3+9x^2+20x)(3x-1)=y \\\\\\ (3x^4+27x^3+60x^2)+(-x^3-9x^2-20x)=y\)

\(3x^4+27x^3+60x^2-x^3-9x^2-20x=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 3x^4+26x^3+51x^2-20x=y~\hfill\)

Answer:

  (c)  {13,16,30}

Step-by-step explanation:

In order for the sides lengths to form a triangle, the sum of the shortest two must exceed the longest.

That will not be the case for ...

  {13, 16, 30}

because 13 +16 = 29 < 30.

  (13, 16, 30} could not form a triangle

__

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The graph of the compound inequality can be seen at the end.

Here we have two inequalities that depend on p, these are:

4p + 1 > -15

6p + 3 < 45

First, we need to isolate p on both inequalities.

4p + 1 > -15

4p > -15 - 1

p > -16/4

p > - 4

6p + 3 < 45

6p < 45 - 3 = 42

p < 42/6 = 7

So we have the compound inequality:

p > -4

p < 7

or:

-4 < p < 7

Then this represents the set (-4, 7) where the values -4 and 7 are not included, so we should graph them with open circles.

The graph of the inequality is something like the one below.

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the y intercept occurs when x=0

so

and solve y

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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