can someone help i have several questions like this i also need the work shown

So, approximately 59 fish in the school would be longer than 92 cm.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc.

Here,

We can solve this problem using the normal distribution formula, which states:

z = (x - mu) / sigma

where z is the standard score, x is the raw score, mu is the mean, and sigma is the standard deviation.

To find the number of fish longer than 92 cm, we need to find the proportion of fish in the population with lengths greater than 92 cm. We can then multiply this proportion by the total number of fish in the school to get the number of fish longer than 92 cm.

First, we calculate the standard score for 92 cm:

z = (92 - 78) / 14

z = 1

Next, we look up the proportion of the standard normal distribution that corresponds to a z-score of 1. We can use a standard normal distribution table or calculator to find this value. The proportion of the distribution that is greater than z = 1 is approximately 0.1587.

Therefore, the proportion of fish in the population with lengths greater than 92 cm is 0.1587. To find the number of fish longer than 92 cm, we multiply this proportion by the total number of fish in the school:

370 * 0.1587 = 58.8

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Answer:

3cm i think

Step-by-step explanation:

Answer:

A ≈ 22.2 ft²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \(\frac{50}{360}\)

   = π × 7.13² × \(\frac{5}{36}\)

    = 50.8369π × \(\frac{5}{36}\)

    ≈ 22.2 ft² ( to the nearest tenth )

All the correct expression in each steps are,

⇒ Step 1; (m³ + m²n + mn² - m²n - mn² - n³)

( By multiplication distributor )

⇒ Step 2;  m³ - n³

( By combine like terms)

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression to prove is,

⇒ (m - n) (m² + mn + n²)

Now, We can simplify as;

⇒ (m - n) (m² + mn + n²)

Step 1;

⇒ (m³ + m²n + mn² - m²n - mn² - n³)

( By multiplication distributor )

Step 2;

⇒ m³ - n³

( By combine like terms)

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The answer choice which represents a true statement with respect to the functions is; Choice C; The graphs of g(x) and f(x) both have end behaviors that go in the same direction.

It follows from the task content that the functions given are;

f(x) = 3|x+14|

g(x)= x³ + 3x-14

h(x)=3*x +1

i(x) = log4(x - 1).

From the functions given above, it follows that the range of f(x) is all positive real numbers and has an ending behaviour as function g(x) as their ending behaviour indicates ascending slope (positiv slope).

Hence, The graphs of g(x) and f(x) both have end behaviors that go in the same direction.

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Answer:

6

Step-by-step explanation:

It is given that Cosmo bought a new shirt which have several horizontal strips printed on the shirt that forms horizontal rings when the shirt is buttoned up. When Cosmo rightly button up the shirts, the horizontal strips forms seven closed rings.

One day when Cosmo wrongly wear the shirt and wrongly buttoned up the shirt, the horizontal strips on the shirt did not matched properly.

So as seen from the figure, when Cosmo wrongly button up the shirt, the closed strips forms 6 horizontal rings around Cosmo's waist.

Answer:

s=55°

Step-by-step explanation:

sum of angles of the inside pentagon is 540°

2s+2s+1s+130°+135° =540°

5s+265°=540°

5s=540°-265°

5s=275°

5s/5=275°/5

s=55°

Answer:

to find the ammount of twine left we subtract (twine used) from (total twine) or (total twine)-(twine used)=ammount left

so he must cut 42 legnths of rope  each legnth is 4.75 and this is taken from a

total legnth of 240 so

240-42(4.75)=amount left

42 trimes 4.75=199.5

240-199.5=40.5 left

Step-by-step explanation:

Given the scalar multiples of the vector  [1 2 2], the orthogonal projection of the vector x = [-1 2 3] onto the line l is [4/3, 8/3, 8/3].

To find the orthogonal projection of x

Represent the vector [1 2 2] as u.

The orthogonal projection of a vector x onto a line l in R3 is  given by

\(proj_l(x) = [(x . v)/||v||^2] * v\)

where

v is a vector representing the direction of the line l,

"." denotes the dot product, and

"||v||" denotes the magnitude of the vector v.

The direction vector of the line l is [1 2 2].

To find the orthogonal projection of the vector x = [-1 2 3] onto the line l,

substitute these values into the formula

\(proj_l(x) = [(-1)(1) + (2)(2) + (3)(2)] / [(1)^2 + (2)^2 + (2)^2] * [1 2 2]\)

= 12 / 9 * [1 2 2]

= [4/3, 8/3, 8/3]

Therefore, the orthogonal projection of the vector x = [-1 2 3] onto the line l is [4/3, 8/3, 8/3].

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Question is incomplete, find the complete question below

Let L be the line in R3 that consists of all scalar multiples of the vector [1 2 2]. Find the orthogonal projection of the vector x→=[-1 2 3] onto L.

Answer:

You cannot expect someone to type the "right" answer if you dont put the time to even spell it out correctly next time think abt it a bit more ^^

The correct answer is m<- 2  7/12

Step-by-step explanation:

This is for the k12 6.01 Quiz: One-Step Addition or Subtraction Inequalities

Good luck everyone of the rest !!!!

The solution for [m] belongs tot he set as : m ∈ (- ∞, -227).

Given are the inequalities and it is asked to solve for [m].

The given inequalities are given as follows -

m + 13 < − 214

m > − 11112

m > − 2712

m < − 11112

m < − 2712

Now, we can write -

m + 13 < − 214

m < - 214 - 13

m < - 227

Remaining all inequalities are far far smaller than -227. So, we can say that the solution for m as : m ∈ (- ∞, -227)

Therefore, the solution for [m] belongs tot he set as : m ∈ (- ∞, -227).

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The amount of Simon's income left over after setting aside taxes for the three-month period is $1817.20.

We need to calculate the total earnings, total taxes, and subtract the taxes from the total earnings.

First, let's calculate the total earnings:

Simon's income for the three-month period is $860 + $680 + $720 = $2260.

He set aside 18% of his earnings each month for income taxes, so he set aside 18% * $2260 = $406.80 for income taxes.

He also set aside an additional 5% of his March income for other taxes, so he set aside 5% * $720 = $36 for other taxes.

The total amount of taxes he set aside is $406.80 + $36 = $442.80.

Finally, let's calculate the amount of income left over after setting aside taxes:

The amount of his income left over after setting aside taxes is $2260 - $442.80 = $1817.20.

Therefore, the amount of Simon's income left over after setting aside taxes for the three-month period is $1817.20.

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when multiplying fractions , multiply across the numerator and denominator

you dont need common denominators

example

\(\frac{1}{2}*\frac{4}{5}=\frac{1*4}{2*5}\)

Hope this helps : -)

- Jeron

Answer:

56.5

Step-by-step explanation:

To prove that

f(z) = g(z) + c if f'(z) = g'(z),

where f and g are analytic, we need to follow these steps below;

Step 1: Form h(z) = f(z) − g(z)

Step 2: Compute h'(z) and show that

h'(z) = 0

Step 3: Deduce that h(z) = c for some constant c

Step 4: Hence, f(z) = g(z) + c as required

Proof: Let h(z) = f(z) - g(z).

Then,

h'(z) = f'(z) - g'(z)

= 0

Since f'(z) = g'(z).

Thus, h(z) is constant by Theorem, which states that if

h'(z) = 0 for all z in an open connected set, then h(z) is constant throughout that set.

Therefore, there exists some constant c such that h(z) = c for all z.

Thus, f(z) - g(z) = c, and it follows that f(z) = g(z) + c,

which completes the proof.

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Given the standard deviation of 1, If Kayden were to run 37 practice trials, of the 400 meters dash, 84%  would be slower than 88 seconds.

The following information is given:

Kayden runs the 400-meter dash, his finishing times are normally distributed with a mean of 90 seconds and a standard deviation of 1 second;

Mean (μ) = 90

Standard deviation (σ) = 1

We are supposed to find Kayden were to 37 practice trials of the 400-meter dash, how many of those trials would be faster than 88 seconds, to the nearest whole number i.eP (x < 88)

z = (x - μ) /σ

z = 88 - 90/1

z = -2

We must refer to the z table for the value of P; where

p (x < 88) = 0.0228

Recall that Kayden was to run 37 practice trials. hence

P (x < 88) = 37 * 0.0228

= 0.8436

Therefore, to the nearest whole number, we can state that 84% would be faster than 88 seconds.

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The expression equivalent to log18 – log(p +2) is \(\rm log \left ( \dfrac{18}{p+2} \right )\).

Which expression is equivalent to log18 – log(p +2)?

Equation; \(\rm log18 - log(p +2)\)

\(\rm log(x) - log(y) = log \left(\dfrac{x}{y} \right )\)

By applying the property in the given equation;

\(\rm = log18 - log(p +2)\\ \\ = log \left ( \dfrac{18}{p+2} \right )\)

Hence, the expression equivalent to log18 – log(p +2) is \(\rm log \left ( \dfrac{18}{p+2} \right )\).

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Step 1:

Find the greatest common factor of -45x and +72.

3 | -45x | +72

-----------------------------------------

3 | -15x | +24

-----------------------------------------

| -5x | +8

Therefore, the greatest common factor of -45x and +72 is 3 x 3 = 9

Step 2:

Factor out the greatest common factor

Therefore the correct answer 9(-5x + 8)

a) The monthly payment for this fully amortising mortgage is approximately $10,331.25.
b) The monthly payment for this interest-only mortgage is approximately $14,360.33.

c) The new monthly payment after the interest rate increase is approximately $9,090.70.

d) The remaining loan balance is approximately $625,014.72.

A) To calculate the monthly payment of a fully amortising mortgage, we can use the formula:

M = P * (r * (1+r)^n) / ((1+r)^n - 1)

Where:
M = Monthly payment
P = Loan amount
r = Monthly interest rate
n = Total number of payments

For the given question, the loan amount is 81% of $1,175,378, which is $952,622.38. The annual interest rate is 11.6%, so the monthly interest rate would be 11.6% / 12 = 0.9667%. The mortgage term is 21 years, which means a total of 21 * 12 = 252 payments.

Plugging these values into the formula, we can calculate the monthly payment:

M = 952,622.38 * (0.009667 * (1+0.009667)^252) / ((1+0.009667)^252 - 1)

The monthly payment for this fully amortising mortgage is approximately $10,331.25.

B) To calculate the monthly payment of an interest-only mortgage, we can use the formula:

M = P * r

Where:
M = Monthly payment
P = Loan amount
r = Monthly interest rate

For the given question, the loan amount is 80% of $1,495,863, which is $1,196,690.40. The annual interest rate is 14.4%, so the monthly interest rate would be 14.4% / 12 = 1.2%.

Plugging these values into the formula, we can calculate the monthly payment:

M = 1,196,690.40 * 0.012

The monthly payment for this interest-only mortgage is approximately $14,360.33.

C) To calculate the new monthly payment after an interest rate increase, we can use the same formula as in part A:

M = P * (r * (1+r)^n) / ((1+r)^n - 1)

For the given question, the remaining loan balance is $700,134. The current interest rate is 14.5% per annum, and the loan term is 12 years.

To calculate the new interest rate, we need to add 1% to the current interest rate, which gives us 15.5% per annum, or 15.5% / 12 = 1.2917% as the monthly interest rate.

Plugging these values into the formula, we can calculate the new monthly payment:

M = 700,134 * (0.012917 * (1+0.012917)^144) / ((1+0.012917)^144 - 1)

The new monthly payment after the interest rate increase is approximately $9,090.70.

D) To calculate the remaining loan balance, we can use the formula:

B = P * ((1+r)^n - (1+r)^p) / ((1+r)^n - 1)

Where:
B = Remaining loan balance
P = Loan amount
r = Monthly interest rate
n = Total number of payments
p = Number of payments made

For the given question, the monthly payment is $8,364. The annual interest rate is 12.4%, so the monthly interest rate would be 12.4% / 12 = 1.0333%. The remaining loan term is 10 years, which means a total of 10 * 12 = 120 payments have been made.

Plugging these values into the formula, we can calculate the remaining loan balance:

B = P * ((1+0.010333)^120 - (1+0.010333)^360) / ((1+0.010333)^360 - 1)

The remaining loan balance is approximately $625,014.72.

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By exhaustion theorem the lines that would be included in the proof are:

55 = (5)(11), so 55 is composite.

56 = (2)(28), so 56 is composite.

57 = (3)(19), so 57 is composite.

Therefore, to prove the theorem by exhaustion, we only need to show that the three integers in this range, namely 55, 56, and 57, are composite. The lines that show the prime factorization of each integer and conclude that they are composite are the ones that would be included in the proof.

The reason being that the theorem states that every integer in the range from 55 through 57 is composite.

The line that shows the factorization of 54 is not relevant to this theorem, as 54 is not in the range from 55 through 57. The line that shows the factorization of 58 is also not relevant, as 58 is not in the range from 55 through 57, and therefore does not contribute to proving the theorem.

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In an independent-measures design experiment with two treatment conditions and 22 scores in each condition, a total of 44 subjects participated in the experiment.

To determine the number of subjects who participated in the experiment with an independent-measures design and 22 scores in each treatment condition, you simply need to add the number of scores in each condition together.

A researcher conducts an experiment comparing two treatment conditions with 22 scores in each treatment condition. If the researcher used an independent-measures design, how many subjects participated in the experiment are as follows:

Step 1: Identify the number of scores in each treatment condition.
There are 22 scores in each of the two treatment conditions.

Step 2: Add the number of scores in both treatment conditions together.
22 scores (from treatment condition 1) + 22 scores (from treatment condition 2) = 44 scores

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The implied forward rate of the euro in this situation is most closely approximated by option B, which is $1.5582.

The spot rate for the euro is given as $1.4700. The forward premium is 6.00%. To calculate the implied forward rate, we need to add the forward premium to the spot rate.

The forward premium is given as a percentage, so we need to convert it to a decimal by dividing it by 100. In this case, 6.00% is equal to 0.06.

To calculate the implied forward rate, we add the forward premium to the spot rate:

Implied Forward Rate = Spot Rate + Forward Premium

= $1.4700 + ($1.4700 * 0.06)

= $1.4700 + $0.0882

= $1.5582

Therefore, the option B, $1.5582, most closely approximates the implied forward rate of the euro in this situation.

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Answer:

LJ = 13.12

Step-by-step explanation:

given that the triangles are similar then the ratios of corresponding sides are in proportion , that is

\(\frac{LJ}{ZX}\) = \(\frac{JK}{XY}\) ( substitute values )

\(\frac{LJ}{8.2}\) = \(\frac{13.92}{8.7}\) ( cross- multiply )

8.7 × LJ = 8.2 × 13.92 = 114.144 ( divide both sides by 8.7 )

LJ = 13.12

The answer would be approximately 13.12.

As the triangles XYZ and KLJ are similar triangles, their sides will be in proportion. That means XY/KL = YZ/LJ = XZ/KJ.

So, 8.7/KL = 7.8/LJ = 8.2/13.92.

As we need length LJ, take equations

7.8/LJ = 8.2/13.92

LJ = (8.2 / 13.92) * 7.8

LJ = 13.12

Angles Formulas at the center of a circle can be expressed as:

Central angle, θ = (Arc length × 360º)/(2πr) degrees

Sum of Interior angles=180°(n-2)

The angles formulas are used to find the measures of the angles. An angle is formed by two intersecting rays, called the arms of the angle, sharing a common endpoint.

The corner point of the angle is known as the vertex of the angle. The angle is defined as the measure of the turn between the two lines.

There are various types of formulas for finding an angle; some of them are the central angle formula, double-angle formula, etc...

We use the central angle formula to determine the angle of a segment made in a circle.

We use the sum of the interior angles formula to determine the missing angle in a polygon.

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Answer:

The fish is 85 feet deep in the ocean.

Step-by-step explanation:

If the shark was only 60 feet below the ocean, and the fish was 25 feet deeper, then you just add 25 onto 60 and you'll get how deep the fish is.

Hope this helped <3

Answer:

She needs 153

Step-by-step explanation:

Let x be the score in the 4th game

To find the average add up the scores and divide by the number of scores added

(149+162+152+x) /4 = 154

Multiply each side by 4

(149+162+152+x) /4  *4= 154*4

(149+162+152+x)  = 616

Combine like terms

x+463=616

Subtract 463 from each side

x+463-463 = 616-465

x = 153

Nolan stops reading at time 2:05 am.

To calculate this,  first, calculate the amount of time elapsed since he began reading. Since he started reading at a quarter to 11, then subtract 11:45 pm (a quarter to 12) from the time he began reading, which was 11:45 pm. This gave me an elapsed time of 0 hours and 15 minutes.  then added this elapsed time to the total time Nolan read, which was 3 hours and 5 minutes. This gave us a total elapsed time of 3 hours and 20 minutes. Finally, then added this total elapsed time to the start time of 11:45 pm. This gave me the result of 2:05 am as the time Nolan stopped reading.

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Answer:

x==3

Step-by-step explanation:

-3-2=-5x-2x

=-1=-3 x

Answer:

i think it is D

Step-by-step explanation:

i think it is D.x=5 pls I'm not sure