La longitud del cateto más largo de de un triángulo rectángulo es 16cm más que cuatro veces la longitud del lado más corto. La longitud de la hipotenusa es 17cm más que cuatro veces la longitud del lado más corto. Hallar las longitudes de los lados del triángulo.

Answer:

poor dude, sorry for u, got tht wrong

perpendicular dot product .

(ai - 5j ) ( 3i+12j) =0

3a – 60 = 0

3a=60

a=60/3

a= 20

The choose d. 20

I hope I helped you^_^

Answer:

$2.70

Step-by-step explanation:

1.20÷8=0.15

0.15= 1 minute of each call

so

0.15x18=$2.70

Answer:

$2.70 cents

Step-by-step explanation:

Given the following question:

\(1.20\div8\)

In order to find the answer, we will find how much it costs each minute by dividing.

\(1.20\div8=0.15\)
\(m=0.15\)

Now multiply:
\(m=0.15\)
\(0.15\times18=2.7\)
\(=2.70\)

Which means for an 18-minute phone call it would cost "$2.70 cents."

Hope this helps.

Answer:

a) mean=1,8 b) mean=3.6 c) mean=7.2

Step-by-step explanation:

a) 2.4 +1.6+ 3.2+ 0.3+ 1.5=9

9/5=1.8  

b) 4.8+3.2+6.4+0.6+3=18

18/5=3.6

c)9.6+6.4+12.8+1.2+6=36

36/5=7.2

Answer:mean is 1.8

Step-by-step explanation:

Add all up divide by 5

Answer:

Step-by-step explanation:

9 1/6 ÷ 5 + 3 1/3 = \(\frac{55}{6}*\frac{1}{5}+\frac{10}{3}\)

                         \(=\frac{55}{30} + \frac{10}{3}\\\\= \frac{55}{30}+\frac{10*10}{3*10}\\\\=\frac{55}{30}+\frac{100}{30}\\\\=\frac{55+100}{30}\\\\=\frac{155}{30}\\\\=\frac{31}{6}\\\\=5\frac{1}{6}\)

Additional Hours needed for the average speed of the entire trip to decrease to 54 mph = 400/ 54 = 7 hours and 40 minutes.

Given data :

60 mph for 3 hours = 180 miles

55 mph for 4 hours = 220 miles

Total distance covered = 220 + 180

Additional Hours needed for the average speed of the entire trip to decrease to 54 mph = 400/ 54 = 7 hours and 40 minutes.

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Answer:

\( \pink{ - 1 \frac{7}{9} }\)

Step-by-step explanation:

\(( \frac{2}{5} \div \frac{3}{8} ) \div ( - \frac{3}{5} ) \\ (\frac{2}{5} \times \frac{8}{3} ) \times ( - \frac{5}{3} ) \\ \frac{16}{15} \times - \frac{5}{3} \\ - \frac{80}{45} \)

As the answer can be more simplified, divide both numerator and denominator by 5.

\( - \frac{16}{9} = - 1 \frac{7}{9} \)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is an arithmetic series.

3 , 5 , 7 ,......

Common difference = second term - first term

                                 = 5 - 3

                                  = 2

Answer:

1 /1 ; 360°

Step-by-step explanation:

Start time = 2:30 pm

Stop time = 3:30 pm

Minute hand makes a complete revolution per hour ;

This means that the minutes hand revolves round the whole circle in one hour, hence fraction of the circle covered by the minute hand between 2:30 pm - 3:30 pm is 1/1 = 1

The angle turned by the minutes hand :

1 complete revolution = 360°

A circle covers 360°

1 /1 fraction of a circle = 1/1 * 360° = 360°

Hence, angle turned by the minute hand = 360°

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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The mean of the time taken by a mechanic to rebuild the transmission of 2005 Chevrolet Cavalie μ = 8.4 hours The standard deviation of the time taken by a mechanic to rebuild the transmission of 2005 Chevrolet Cavalier, σ = 1.8 hours.

The sample size, n = 40 We have to find the probability that their mean rebuild time exceeds 8.7 hours. We know that the sampling distribution of the sample means is normally distributed with the following mean and standard deviation.

We have to find the probability that the sample mean rebuild time exceeds 8.7 hours or Now we need to standardize the sample mean using the formula can be found using the z-score table or a calculator. Therefore, the probability that the mean rebuild time of 40 mechanics exceeds 8.7 hours is 0.1489.

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As the sample size increases, the variability among the sample means decreases, option A.

The number of observations used to calculate estimates for a certain population is known as the sample size. The sample size was determined by drawing from the population. Sampling is the practise of choosing a portion of the population from which to draw conclusions about the characteristics of the entire population. A subset of a population is chosen for study based on the number of entities in it.

Population data is a sizable collection of information that covers the whole population under investigation. All the components that are investigated for the research make up a population.

Yet, sample data is a component of the population. Generally, computing the entire population is rather cumbersome and challenging. In this instance, a representative sample of the population is chosen. Sample data refers to this sample.

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Answer:

2.5 minutes

Step-by-step explanation:

Dividing the average speed by distance will give you 2.5 which is the average speed the hoverboard goes assuming the hoverboard will travel at the same speed the answer is 2.5 minutes.

To find the correct equations for the missing boxes, we need more information about the relationships between the different activities in Jake's Gems. However, based on the given context, we can make some assumptions and suggest potential equations:

Mining and Cutting activities produce diamonds, rubies, and other gems. Let's assume that the production of each gem type is represented by a variable: D (diamonds), R (rubies), and G (other gems).

Maintenance supports the Mining and Cutting activities. We can assume that the maintenance effort required for each activity is represented by the variable M (maintenance).Since the question mentions five missing boxes, we can suggest additional equations to represent relationships between these variables, such as:

Mining + Cutting = D + R + G (the sum of all gem types produced equals the total production from Mining and Cutting activities).

Maintenance = M (maintenance effort required).

The relationships between these variables might include equations like D = f(M), R = g(M), G = h(M), where f, g, and h represent some functions or formulas that relate gem production to maintenance effort.

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The expression \(x^{3} +3x^{2}\) represents the volume of the prism, in cubic units.

We have given that the,

The height of a right rectangular prism is 3 units greater than the length of the base.

The edge length of the square base is x units.

The volume of a rectangular prism = width*length*height

V=w*l*h          ......(1)

We have given that the

h=3 greater than the length of the base

and the length of the base is x

Hence, h=x+3

length of base = x

width = x

Substituting values l h and w into the formula (1) we get,

V=w*l*h

= \((x)*(x)*(x+3)\)

= \(x^{2}*(x+3)\)

=\(x^{3}+3x^{2}\)

Therefore the expression

\(x^{3}+3x^{2}\) represents the volume of the prism, in cubic units.

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The equation is a parabola with the coefficient of term squared x negative, so the range is from - infinity to the y-value of the vertex.

We need to find the y-value of the vertex:

So, the Range of the function is (-infinity, 3]

Answer:

519.8 feet

Step-by-step explanation:

A straight road to the top of a hill is 2500 feet long and makes an angle of 12 degrees with the horizontal. Find the height of the hill.

We solve this question using the Trigonometric function of Sine

sin theta = Opposite/ Hypotenuse

Theta = 12°

Hypotenuse = 2500 feet

Opposite = Height of the hill = x

Hence,

sin 12 = x/ 2500 feet

Cross Multiply

x = sin 12 × 2500 feet

x = 519.77922704 feet

Approximately = 519.8 feet

The height of the hill is 519.8 feet

Answer:

565

Step-by-step explanation:

5x5=25

540+25=565

Answer:

Yes, all 3 are correct.

Step-by-step explanation:

Answer:no it is not right

Step-by-step explanation:so to get the answer right, you have to add a one as the denominator of the five. Next you have to switch the one and the five to make it a multiplication also called the keep change flip then, you multiply and you are done hope this helps!!!!

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

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Answer:

293.04

Step-by-step explanation:

The one above me is worng sorry i just took the test :p

The ans is 293.04

Thank you have a wonderful day ahead...

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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The value of the mean for the scores in an exam which are normally distributed is 70.

Given:

the scores in an exam were normally distributed with unknown mean and a standard deviation of 5 .

if 30.85 % of students scored more than 72.5 . what is the value of the mean = ?

Mean = µ

σ = 5

x = 72.5

The z score corresponding to the area 30.85% in the right tail is :

Zi score = Z 0.3085

             = 0.500

Again : Z₀ = x- µ/σ

           ⇒ x- µ = Z₀σ

           ⇒ µ = x - Z₀σ

                  = 72.5 - 0.500 × 5    (using z table)

                  = 72.5 - 2.5

                  = 70

Hence we get the unknown mean as 70.

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Answer:

for it i think it would be 66

Step-by-step explanation:

Answer:

\(w = 8.06\)

Step-by-step explanation:

To find the value of "w" we just have to solve the equation as follows....

\(\frac{w}{-1.3} = - 6.2\)

\(w = (-6.2)(-1.3)\)

\(w = 8.06\)

Answer:

w = 8.06

Step-by-step explanation:

A negative number divided by a negative number is a positive number, so we know it doesn't equal -8 or -10.5, and 4 would have to be divided by something less than 1 to equal -6.2.

Answer:

\( {2x}^{2} + 3x + 5\)

Step-by-step explanation:

.........

The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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