1 . Maisa is 1.5 m tall and Arman is 175 cm tall . What is the ratio of their heights ?

Please add solution
Thank you so much

Answer:

reeee

Step-by-step explanation:

Answer:

the answer would be: -27bk

10 goes on top of the b

4 goes on top of the k

Answer:

784000

Step-by-step explanation:

Given data

Profit =  700000

Let us begin by finding what 12% of  700000 is

=12/100* 700000

=0.12* 700000

=84000

Hence the profit made last years was

=84000+700000

=784000

Answer:

72.5%

Step-by-step explanation:

To express a value as a %:

value/whole x 100 = 29 / 40 x 100

This gives you 72.5%

Hope this helps

Answer:

Step-by-step explanation:

average of x-coordinates = (-4+2)/2 = -1

average of y-coordinates = (11+3)/2 = 7

midpoint of AB = (-1,7)

Answer:

Step-by-step explanation:

The following values are as follows: a) Mean = 0.6, b) standard deviation = 0.073 and c) Probability is 0.0855

a) As the number of samples is large enough which is up to 30 then the mean of the average number of moths in 30 traps is given as 0.6, given from the central limit theorem.

b) The population deviation divided by the square root of the sample size gives the standard deviation value.

standard derivation = σ/ \(\sqrt{n}\) = 0.4 / \(\sqrt{30}\) = 0.4/ 5.477 = 0.073

c) The probability that an approximately normally distributed data with the standard deviation, σ, with a sample size of n is greater than a number, x, and a mean, μ, is given by

1 - P (X < x)= P (X > x)

= 1 - P(z< x- µ/ σ/\(\sqrt{n}\))

Thus, given that the mean is 0.6 and the standard deviation is 0.4, the probability that the average number of moths in 30 traps is greater than 0.7 is given by:

1 -P (X - 0.7) = P (X > 0.7)

= 1 - P(z < \(\frac{0.7-0.6}{0.073}\)) = 1 - P(z < 1.369)

= 1 - 0.91455 = 0.0855

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To find the probability that exactly 15 lights out of 20 have a useful life of at least 1000 hours, we can plug in the values: P(X = 15) = (20 choose 15) * 0.8^15 * 0.2^5

Given that the probability that a fluorescent light has a useful life of at least 1000 hours is 0.8, we can use the binomial distribution formula to find the probabilities that among 20 such lights, a certain number will have a useful life of at least 1000 hours. The formula is:

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

where X is the number of lights that have a useful life of at least 1000 hours, n is the total number of lights (20 in this case), k is the number of lights with a useful life of at least 1000 hours, p is the probability that a single light has a useful life of at least 1000 hours (0.8), and (n choose k) is the binomial coefficient.

For example, to find the probability that exactly 15 lights out of 20 have a useful life of at least 1000 hours, we can plug in the values:

P(X = 15) = (20 choose 15) * 0.8^15 * 0.2^5

Using a calculator or a statistical software, we can find that this probability is approximately 0.202. Similarly, we can find the probabilities for other values of k, such as P(X = 10), P(X = 5), or P(X = 0). The probabilities will follow a binomial distribution, which is a discrete probability distribution that models the number of successes in a fixed number of trials.
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\(x^3-2x^2+x-1\) is one of the prime factors of the polynomial

The question implies that we determine one of the prime factors of the polynomial.

The polynomial is given as:

\(x^8 - 3x^6 + x^4 - 2x^3 - 1\)

Expand the polynomial by adding 0's in the form of +a - a

\(x^8 - 3x^6 + x^4 - 2x^3 - 1 = x^8 -2x^7 + 2x^7 - 4x^6 +x^6 + 2x^5 -2x^5- 3x^4 + 4x^4 + 2x^3 -6x^3+2x^3- x^2 -3x^2 +4x^2-2x+2x-1\)

Rearrange the terms

\(x^8 - 3x^6 + x^4 - 2x^3 - 1 = x^8 -2x^7 + 2x^5 - 3x^4 + 2x^3 - x^2 + 2x^7 - 4x^6 + 4x^4 -6x^3+4x^2-2x+x^6-2x^5+2x^3-3x^2+2x-1\)

Factorize the expression

\(x^8 - 3x^6 + x^4 - 2x^3 - 1 = x^2(x^6-2x^5+2x^3-3x^2+2x-1) + 2x(x^6-2x^5+2x^3-3x^2+2x-1) + 1(x^6-2x^5+2x^3-3x^2+2x-1)\)

Factor out x^6-2x^5+2x^3-3x^2+2x-1

\(x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x^2+2x + 1)(x^6-2x^5+2x^3-3x^2+2x-1)\)

Express x^2 + 2x + 1 as a perfect square

\(x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x+1)^2(x^6-2x^5+2x^3-3x^2+2x-1)\)

Expand the polynomial by adding 0's in the form of +a - a

\(x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x+1)^2(x^6- 2x^5+x^4-x^4-x^3 +x^3-2x^3-x^2 -2x^2 +x+x - 1)\)

Rearrange the terms

\(x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x+1)^2(x^6- 2x^5+x^4-x^3-x^4-2x^3-x^2+x+x^3-2x^2 +x - 1)\)

Factorize the expression

\(x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x+1)^2(x^3(x^3-2x^2+x-1) -x(x^3-2x^2+x-1)+1(x^3-2x^2+x-1))\)

Factor out x^3-2x^2+x-1

\(x^8 - 3x^6 + x^4 - 2x^3 - 1 = (x+1)^2(x^3 -x+1)(x^3-2x^2+x-1)\)

One of the factors of the above polynomial is \(x^3-2x^2+x-1\).

This is the same as the option (c)

Hence, \(x^3-2x^2+x-1\) is one of the prime factors of the polynomial

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James has to pay an annual interest of 14.99% on $2500 loan.

In decimal:

14.99% = 14.99/100 = 0.1499

The interest of 1st year would be:

0.1499 * 2500 = 374.75 dollars

Monthly interest would be:

374.75/12 = $31.23

If he pays this amount each month for first 4 months, he would pay a total of:

$31.23 * 4 =

Kim saved $9 by using the coupon.

How to find Original price?

The MSRP (i.e., Manufacturer's Suggested Retail Price) set the original price, which is the cost. In the majority of cases, the original price would have been less expensive than the current price, though this is not always the case. Finding an item's original price and knowing the price after a discount are both made possible by original price.

Original price = Sales price/(100%-Discount%)

To find out how much money Kim saved, we need to first find out how much the birdhouse cost after the coupon was applied.

The coupon took 25% off the original price, so the birdhouse cost 100% - 25% = 75% of its original price.

So, the new price of the birdhouse would be:

36 * 75% = $27

Kim saved 36 - 27 = $9 by using the coupon.

Therefore, Kim saved $9 using the coupon.

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Answer:

Their is a different question in the pic then the writing?

Answer:

the answer is yes

Step-by-step explanation:

k(3)=5(3)-3

k(3)=15-3

k(3)=12

12 is the answer

Answer:

16286.01632

Step-by-step explanation:

V=πr2h=π·122·36≈16286.01632

Answer:

1

Step-by-step explanation:

there are 3 people and 1 boat holds three people

The calculation involves finding the definite integral of 2πy√\((1 + (dy/dx)^2)\) dx over the interval [0, 3/4].

To find the surface area generated when the curve y = 16x - 7 is revolved about the y-axis over the interval [0, 3/4], we can use the formula for the surface area of revolution. The formula is given by:

A = 2π ∫[a,b] y √(1 + (dy/dx)^2) dx

In this case, we need to find the definite integral of y √(\(1 + (dy/dx)^2\)) with respect to x over the interval [0, 3/4].

First, let's find dy/dx by taking the derivative of y = 16x - 7:

dy/dx = 16

Next, we substitute y = 16x - 7 and dy/dx = 16 into the surface area formula:

A = 2π ∫[0, 3/4] (16x - 7) √(1 + 16^2) dx

Simplifying the expression inside the integral:

A = 2π ∫[0, 3/4] (16x - 7)  √257 dx

Now, we can evaluate the integral to find the surface area. Integrating (16x - 7)  √257 with respect to x over the interval [0, 3/4] will give us the exact numerical value of the surface area.

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The value of X is 67°.

Hence, The value of X is 67°.

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The complete question is:

Tthe area enclosed by the lemniscate is 4 units squared.

The lemniscate is symmetric about the x-axis and y-axis, so we can find the area in the first quadrant and multiply it by 4.

In polar coordinates, the equation of the lemniscate can be written as:

r^2 = 4cos(2θ)

Squaring both sides, we get:

r^4 = 16cos^2(2θ)

Converting to Cartesian coordinates, we have:

x^2 + y^2 = 16cos^2(2θ)

Using the identity cos(2θ) = (1/2)(cos^2θ - sin^2θ), we can simplify the equation to:

x^2 + y^2 = 8(cos^4θ - cos^2θsin^2θ)

Multiplying both sides by r, we get:

r^2 = 8r(cos^4θ - cos^2θsin^2θ)

Substituting x = rcosθ and y = rsinθ, we get:

x^2 + y^2 = 8(x^2 - xy + y^2)(x^2 + y^2)

Simplifying, we get:

x^4 - 2x^2y^2 + y^4 = (1/8)

This is the equation of a quartic curve, which is symmetric about the x-axis and y-axis.

To find the area enclosed by the lemniscate in the first quadrant, we can integrate over the range 0 ≤ θ ≤ π/4:

A = 4 ∫[0,π/4] ∫[0,r(θ)] r dr dθ

where r(θ) = 2√cos(2θ).

Evaluating the integral, we get:

A = 4 ∫[0,π/4] ∫[0,2√cos(2θ)] r dr dθ

= 4 ∫[0,π/4] (1/2)(2√cos(2θ))^2 dθ

= 4 ∫[0,π/4] 2cos(2θ) dθ

= 4[sin(π/2) - sin(0)]

= 4

Therefore, the area enclosed by the lemniscate is 4 units squared.

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Answer:

4.243

Step-by-step explanation:

To calculate the diagonal of a square, multiply the length of the side by the square root of 2:

d = a√2

d = 3√2=4.24264068

The graph of the quadratic function y = 1.5x² + 4x - 2 is given by the image shown at the end of the answer.

To obtain the graph of a quadratic function, these three features have to be obtained from the function's definition:

- The x-intercepts, which are the roots of the function.

- The y-intercept, which is the value of y when the function crosses the y-axis.

- The vertex, which is the turning point of the function.

- The function for this problem is defined as follows:

y = 1.5x² + 4x - 2.

Hence the numeric values of the coefficients are listed as follows:

a = 1.5, b = 4, c = -2.

Inserting these coefficients into a calculator, the x-intercepts of the function are given as follows:

x = -3.09  -> hence the function passes through point (-3.09, 0).

x = 0.43 -> hence the function passes through point (0.43, 0).

The y-intercept of the function is given by coefficient c = -2, hence the function also passes through point (0, -2).

The x-coordinate of the vertex is given as follows:

x = -b/2a = -4/3 = -1.33.

Hence the y-coordinate of the vertex is:

y = 1.5(-1.33)² + 4(-1.33) - 2 = -4.67.

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Missing Information

The problem asks for the graph of the following function:

y = 1.5x² + 4x - 2.

Answer:

Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.

Step-by-step explanation:

Answer:Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.

Step-by-step explanation:

The total area of the figure in this problem is given as follows:

41.3 ft².

The area of the composite figure is given by the sum of the areas of all the parts that compose the figure.

The figure in this problem is composed as follows:

Then the area of the triangle is given as follows:

At = 0.5 x 6 x 3 = 9 ft².

The area of the semicircle is given as follows:

Ac = π x 3² = 28.3 ft².

The area of the square is given as follows:

As = 2² = 4 ft².

Then the total area of the figure is given as follows:

9 + 28.3 + 4 = 41.3 ft².

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Answer:

$

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8-15=-7

-7/7=-1

5) m<EBF= 474

6)m<ABC= 70

5) 20x-10= x+390

5) 20x-10 3x+15+60=474

20x-10=390  

3x+15= 24

plug in the x into the equation: (x+20)---> (20x20)=400

400-10= 390

6) 3x+1+2x+14= 28

3x= 9

2x=4

plug in the x into the equation: (3x+1)----> 2x+14= 28

7 is a bit confusing...

8 G and F is confusing me sorry...

this was so fu-cking hard sorry it took long...

The correct option: b. Reaction times were the longest when people had to read words presented in colored ink.

A seemingly unimportant phenomena called the Stroop effect explains a great deal about how the brain functions.

Thus, the stroop experiment's findings most accurately represent when respondents used to have to read words given in colorful ink, reaction times tended to be the longest.

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The complete question is-

This following question refers to the outcome of the actual experiment (described on the conclusions slides), not the data generated from your performance in particular (which may or may not have matched the real experimental results).

a. Reaction times were the longest when people had to read words presented in black ink.

b. Reaction times were the longest when people had to read words presented in colored ink.

c. Reaction times were the longest when people had to name the color of colored chips/shapes.

d. Reaction times were the longest when people had to name the color of words presented in colored ink.

Therefore, the probability that the Islanders will win exactly three out of six games in a series against the Rangers is approximately 0.2677.

To calculate the probability that the Islanders will win exactly three out of six games in a series against the Rangers, we can use the binomial probability formula.

The formula is:

\(P(X = k) = (^nC_k) * p^k * (1 - p)^{(n - k)\)

Where:

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

n is the number of trials (number of games in the series, which is 6 in this case),

k is the number of successes (number of wins, which is 3 in this case),

p is the probability of success in a single trial (probability of Islanders winning a game, which is 0.24),

(\(^nC_k\)) is the number of combinations of n items taken k at a time.

Using the formula, we can calculate the probability as follows:

\(P(X = 3) = (^6C_3) * 0.24^3 * (1 - 0.24)^{(6 - 3)\)

\(P(X = 3) = (^6C_3) * 0.24^3 * 0.76^3\)

\(P(X = 3) = 20 * 0.24^3 * 0.76^3\)

P(X = 3) ≈ 0.2677

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??

Step-by-step explanation:

?? I do not know maybe someone knows

Answer:4

Step-by-step explanation:

Answer:

Isla finished 1/8 more of the pie than Alexa. Thats a nice name

Step-by-step explanation:

1/4 = 2/8

1/8 + 1/8 = 2/8

so 1/8 more

Answer:

answer is 2

Step-by-step explanation:

1/4 divided by 1/8 is 2