Find 4 consecutive integers such that, 5 times the 3rd number decrease by the 2nd number is 41

Answer:

awww neither do i

Step-by-step explanation:

lol I got a 72 on my matb homework going to go jump off a cliff

Answer:

P = -3r -5t + 25

r(-2): P = -5t + 31

r(-5): P = −5t + 40

r(5): P = −5t + 10

t(4): P = −3r + 5

t(-4): P = −3r + 45

t(8): P = −3r − 15

For X ≤ 15, n = 20, π = .70 ; compound event probability is approximately 0.0008 .

For X > 8, n = 11, π = .65 ; compound event probability is  approximately 0.9198.

For X ≤ 1, n = 13, π = .40 ; compound event probability is  approximately 0.6646 .

a. To calculate the probability of the event X ≤ 15, n = 20, π = .70, we will use the binomial distribution formula:

P(X ≤ 15)

=  ∑_(k=0)¹⁵〖(20Ck)(0.70)^k (0.30)^(20-k) 〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.0008 (rounded to 4 decimal places).

b. To calculate the probability of the event X > 8, n = 11, π = .65, we will first find the probability of X ≤ 8, and then subtract this value from 1 to find the complement probability:

P(X > 8) = 1 - P(X ≤ 8)

= 1 - ∑_(k=0)⁸〖(11Ck)(0.65)^k (0.35)^(11-k)〗

Using a binomial distribution calculator, we can find the probability of X ≤ 8 to be approximately 0.0802.

Therefore, the probability of X > 8 is approximately 0.9198 (rounded to 4 decimal places).

c. To calculate the probability of the event X ≤ 1, n = 13, π = .40, we will use the binomial distribution formula:

P(X ≤ 1)

= ∑_(k=0)¹〖(13Ck)(0.40)^k (0.60)^(13-k)〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.6646 (rounded to 4 decimal places).

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Answer:

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Steps should be self-explanatory. Happy to explain if anything is not clear.

Answer:

Step-by-step explanation:

1) 4v + 7 = 7, for v?

→ 4v + 7 = 7

→ 4v = 7 - 7

→ v = 0/4

→ [ v = 0 ]

2) 3(u + 4) = 27, for u?

→ 3(u + 4) = 27

→ 3u + 12 = 27

→ 3u = 27 - 12

→ u = 15/3

→ [ u = 5 ]

3) -20 = 10(h + 5), for h?

→ -20 = 10(h + 5)

→ 10h + 50 = -20

→ 10h = -20 - 50

→ h = -70/10

→ [ h = -7 ]

4) -10 = (n - 52)/5, for n?

→ -10 = (n - 52)/5

→ n - 52 = -10 × 5

→ n = -50 + 52

→ [ n = 2 ]

5) (48/x) - 3 = 3, for x?

→ (48/x) - 3 = 3

→ 48/x = 3 + 3

→ 6x = 48

→ x = 48/6

→ [ x = 8 ]

6) 8r = 2r + 42, for r?

→ 8r = 2r + 42

→ 8r - 2r = 42

→ r = 42/6

→ [ r = 7 ]

These are required values.

According to the solving the area of the sidewalk is 138.16 square meters.

Size of a location on a surface is expressed in terms of area. As opposed to surface area, which refers to the area of an open surface or the border of a three-dimensional object, plane region or plane size refers to the area of a shape or planar lamina.

The width of the circular sidewalk is 2 m, which means that the radius of the entire area, including the flower bed and the sidewalk, is 10 m + 2 m = 12 m.

To find the area of the sidewalk, we need to subtract the area of the flower bed from the area of the larger circle.

Area of larger circle = πr²

= 3.14 x 12²

= 452.16 square meters (rounded to two decimal places)

Area of flower bed = πr²

= 3.14 x 10²

= 314 square meters

Area of the sidewalk = Area of larger circle - Area of flower bed

= 452.16 - 314

= 138.16 square meters (rounded to two decimal places)

Therefore, the area of the sidewalk is 138.16 square meters.

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Answer:

Two factor ANOVA

Step-by-step explanation:

They two factor ANOVA is used to determined if there is an interaction between the two independent variables on the dependent variable which in this case study are

The two independent variables are:

One member of each twin pair gets this early discrimination training, but the other does not.

While the dependent variable is their respective IQ scores.

Thus, we can use this test to determine whether the effect of one of the independent variable is the same for all other values of the other independent variable and vice versa using their IQ scores.

Answer: The lowest common multiple between 35 and 55 is 385.

Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

Step-by-step explanation:

d(1) = 13

d(n) = d(n - 1) + 17

where

n is the nth term

To find the 4th term we must first find the second term use it to find the 3rd term and use the 3rd term to find the 4th term

So we have

For the 2nd term

That's d(2)

We have

d(2) = d(2-1) + 17

d(2) = d(1) + 17

But d(1) = 13

d(2) = 13 + 17 = 30

For the 3rd term d(3)

That's

d(3) = d(3 - 1) + 17

d(3) = d(2) + 17

d(3) = 30 + 17 = 47

For the 4th term that's d(4)

We have

d(4) = d(4 - 1) + 17

d(4) = d(3) + 17

d(4) = 47 + 17

We have the final answer as

Hope this helps you

The first three terms of the arithmetic sequence are -97, -63, and -29.

The value of x = -14.

To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:

The common difference (d) is the same between all consecutive terms.

So, we have:

(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)

Simplifying the equation:

5x + 7 - 7x - 1 = 2x - 1 - 5x - 7

-2x + 6 = -3x - 8

Now, let's solve for X:

-2x + 3x = -8 - 6

x = -14

Substituting the value of X back into the expressions, we can find the first three terms:

First term: 7x + 1 = 7(-14) + 1 = -97

Second term: 5x + 7 = 5(-14) + 7 = -63

Third term: 2x - 1 = 2(-14) - 1 = -29

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Answer:

33 is definitely the correct answer

To find the company's total profit or loss, find the sum of the incomes and the expenses. If the result is positive, it is a profit, if it is negative, it is a loss.

The total profit is $914, it means the correct answer is A.

Answer:

3>y-2

Step-by-step explanation:

your welcome i think

Answer:

X=2.5 min

Y=262.5 m

Step-by-step explanation:

Let x be the time ( in minutes ) Sam will take to catch Leo .

We know that : Distance = Speed x Time

Speed of Leo = 65 meters per minute

Speed of Sam = 105 meters per minute

According to the given situation, we have

Distance covered by Leo = (100 +65 x ) meters

Distance covered by Sam = 105 x meters

Sam will catch Leo when distance covered by Leo would be equal to  distance covered by Sam.  

 [ Subtract 65 x from both sides ]

x=2.5    [Divide both sides by 40]

therefore Sam will catch up Leo after 2.5 minutes.

Answer:

3x+100

Step-by-step explanation:

Based on the information given in the advertisement, we can conclude that the sale price of the table is $420.

Here's how we can arrive at this answer:

Let the original price of the table be represented by P.

We know that the sale price of the table is obtained by reducing the original price by 30%. Mathematically, this can be represented as:

Sale price = P - 0.3P

Simplifying this expression, we get:

Sale price = 0.7P

We are also given that the sale saves us $180 on this table. Mathematically, this can be represented as:

0.7P - P = -$180

Simplifying this expression, we get:

-0.3P = -$180

Dividing both sides by -0.3, we get:

P = $600

Therefore, the original price of the table was $600.

Using the equation for sale price that we derived earlier, we can now find the sale price of the table:

Sale price = 0.7P = 0.7 x $600 = $420

Hence, the sale price of the table is $420.

Answer:d=12

Step-by-step explanation:

Answer:

y=2x+3 and y=-2x-3

Step-by-step explanation:

First situation:

2x-y=3

making y subject

y=2x+3

Second situation:

2x+y=-3

making y subject

y=-2x-3

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

I would say about 7 feet and 1 inch

Step-by-step explanation:

If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.

Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².

So, we have:

lw = 114

Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.

So, we have:

2l + 2w = 50

We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:

l = 114/w

We can then substitute this expression for l in the second equation:

2(114/w) + 2w = 50

Multiplying both sides by w to eliminate the fraction, we get:

228 + 2w² = 50w

Rearranging and simplifying, we get a quadratic equation:

2w² - 50w + 228 = 0

We can solve for w using the quadratic formula:

w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5

Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:

l(5) = 114

l ≈ 22.8

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Answer:

21

Step-by-step explanation:

3 times 7 equals 21 and you cant make 21 with 6

(please mark me brainliest if you get it correct)

If the production is increased by 10%, the new production levels for sport utility vehicles and pickup trucks are:

Factory 1: 110 sport utility vehicles

Factory 2: 99 sport utility vehicles

Factory 3: 77 sport utility vehicles, 66 pickup trucks

Factory 4: 33 sport utility vehicles, 66 pickup trucks

To find the production levels if production is increased by 10%, we need to multiply each entry of the matrix by 1.1:

A' = 1.1A = | 110 99 77 33 || 44 22 66 66 |

The matrix A' represents the new production levels. The entry in the first row and first column of A' (110) represents the number of sport utility vehicles produced at the first factory after the 10% increase in production. Similarly, the entry in the second row and third column of A' (66) represents the number of pickup trucks produced at the third factory after the 10% increase in production.

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The quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

The quadratic equation that takes the form ax^2+bx+c can be determined from a given set of factors by applying the rule:

Let us expand the eqaution: 2(x-1) (2x+3)

So, we have:

2(x - 1)(2x + 3) ⇒ 4x² + 2x - 6.

= 4x² + 2x - 6 + x² - 4x + 2

Now, let us group like terms, we have:

= 4x² + x² + 2x - 4x - 6 + 2

= 5x² - 2x - 4

Therefore, we can conclude that the quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

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Answer:

Jack is 24

Step-by-step explanation:

Luke : jack

3            2

We know like is 36

3*12 = 36, so we need to multiply by 12

Luke : jack

3*12     2*12

36          24

Answer:

24

Step-by-step explanation

Notice that Luke's real age is 12 times the number in the ratio, which is a simplified version of the original ratio, where they used division by 12 on both sides to get 3:2. Just do the opposite of division, which is multiplication, and multiply both sides of the ratio to get 36:24, which means that Jack is 24 years old!

Hope this helped you!

If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.

Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.

First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:

Social Security tax = $102,000 x 0.062 = $6,324

Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:

Social Security tax = $1,100 x 0.062 = $68.20

Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

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Answer:

Step-by-step explanation:

Answer:

7.6 years

Step-by-step explanation: