Can y’all help me on question 11?!

Answer:

<W=180 - (30+81)

<W=69°

Using Sine rule to evaluate x

x/sin30 = 19/sin69

x= 19sin30/sin69

x= 10.2m ( Nearest tenth)

Answer:

4/5

Step-by-step explanation:

y =4/5x-3

The equation is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 4/5

Answer:

4/5

Step-by-step explanation:

The slope will be in front of the x in slope intercept form.

Answer:

The answer is below

Step-by-step explanation:

Given that mean (μ) = $32500, standard deviation (σ) = $2500.

a) The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

For x < 36000:

[tex]z=\frac{36000-32500}{2500}=1.4[/tex]

From the normal distribution table, P(x < 36000) = P(z < 1.4) = 0.9192 = 91.92%

b) One standard deviation of mean = μ ± σ = (32500 ± 2500) = (30000, 35000)

Two standard deviation of mean = μ ± 2σ = (32500 ± 2*2500) = (27500, 37500)

Empirical rule states that 68% of data falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within one standard deviation from the mean.

Hence 95% of salaries is between $27,500 and $37,500.

c) 95% of salaries is between $27,500 and $37,500.

P(x < 27500) = (100% - 95%) / 2 = 2.5%

d) If the z score is less than -3 or greater than 3, it is considered an outlier.

For x < 42000:

[tex]z=\frac{42000-32500}{2500}=3.8[/tex]

Hence $42000 is an outlier

Answer:

A = $3,101.09

A = P + I where

P (principal) = $2,600.00

I (interest) = $501.09

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.53/100

r = 0.0353 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 2,600.00(1 + 0.0353/12)(12)(5)

A = 2,600.00(1 + 0.002941667)(60)

A = $3,101.09

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $2,600.00 at a rate of 3.53% per year compounded 12 times per year over 5 years is $3,101.09.

This question is incomplete, the complete question is;

Solve the homogeneous linear system corresponding to the given coefficient matrix. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set x4 = t and x2 = s and solve for x1 and x3 in terms of t and s.)

[1 0 0 1]

[0 0 1 0]

[0 0 0 0]

(x1, x2, x3, x4) =________

Answer:

the solution for the given system is; ( x₁, x₂, x₃, x₄ ) = ( -t, s, 0, t )

Step-by-step explanation:

Given the data in the question;

coefficient matrix

[tex]\left[\begin{array}{cccc} 1&0&0&1 \\ 0&0&1&0 \\ 0&0&0&0 \end{array}\right][/tex]

Now, from linear system;

[tex]\left[\begin{array}{cccc} 1&0&0&1 \\ 0&0&1&0 \\ 0&0&0&0 \end{array}\right] \left[\begin{array}{ccc}x_1\\x_2\\x_3\\x_4\end{array}\right] = \left[\begin{array}{ccc}0\\0\\0\\0\end{array}\right][/tex]

So, with the matrix, the associated equation is;

x₁ + x₄ = 0, x₃ = 0

Number of variables is 4 and ranked of the matrix is 2,

Hence, there are infinite solutions,

There are also two free variables;

from the question,

Let x₄ = t and x₂ = s be the free variables

so

x₁ + x₄ = 0

x₁ + t = 0

x₁ = -t

Therefore, the solution for the given system is;

( x₁, x₂, x₃, x₄ ) = ( -t, s, 0, t )

Answer:

[tex]P(x \le 3.24) = 0.97725[/tex]

Step-by-step explanation:

Given

[tex]\bar x = 2.5[/tex]

[tex]\sigma = 0.37[/tex]

Required

Percentage that is not more than 3.24

The above implies that:

[tex]x = 3.24[/tex]

Calculate z score

[tex]z = \frac{x - \bar x}{\sigma}[/tex]

[tex]z = \frac{3.24 - 2.5}{0.37}[/tex]

[tex]z = \frac{0.74}{0.37}[/tex]

[tex]z = 2[/tex]

So, the probability is represented s:

[tex]P(x \le 3.24) = P(z \le 2)[/tex]

From z probability

[tex]P(z \le 2) = 0.97725[/tex]

Hence:

[tex]P(x \le 3.24) = 0.97725[/tex]

Answer:

[tex]3 * f(-8) - 3 * g(-2) = 6[/tex]

Step-by-step explanation:

Given

This question has a missing graph (See online)

Required

[tex]3 * f(-8) - 3 * g(-2)[/tex]

From the graph:

[tex]f(-8) = -2[/tex]

and

[tex]g(-2) = -4[/tex]

So, we have:

[tex]3 * f(-8) - 3 * g(-2) = 3 * -2 -3 * -4[/tex]

[tex]3 * f(-8) - 3 * g(-2) = 6[/tex]

Two formulas:

Compound interest - A = P(1 + r/n)^nt

Simple interest = A = P(1 + rt)

A - final amount

P - initial principal balance

r - interest rate

n - number of times interest applied per time period

t - number of time periods elapsed

Suri --

A = 4,000(1+0.03/1)^5

A = $4,637.09

Carter --

A = 4,000(1+0.03*5)

A = $4,600

In 5 years, Suri makes $37.09 more than Carter

(a) ft/s

(b) 1ft/s

Given equation;

y = (- 16x² + 50x + 3)ft       -------------(i)

Where;

y is measured in feet(ft)

x is measured in seconds(s).

(a) The rate of change of y with respect to x is found by dividing the total change in y by the total change in x. i.e

Δy / Δx

Where;

Δy = y₂ - y₁  

Δx = x₂ - x₁

∴ Δy / Δx = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]              --------------(ii)

Since y is measured in feet, Δy will also be measured in feet.

Also, since x is measured in seconds, Δx will also be measured in seconds.

Therefore, the rate of change of y with respect to x (Δy / Δx) will be measured in feet per second (ft/s)

(b) The rate of change of y between x  = 0 and x = 2 can be found by using equation (ii)

Where;

y₂ is the value of y at x = 2 found by substituting x = 2 into equation (i)

y₁ is the value of y at x = 0 found by substituting x = 0 into equation (i)

=> y₂ =  - 16(2)² + 50(2) + 3 = 39

=> y₁ =  - 16(1)² + 50(1) + 3 = 37

Now, substitute the values of y₂, y₁, x₂ and x₁  into equation (ii)

Δy / Δx = [tex]\frac{39 - 37}{2 - 0}[/tex]  

Δy / Δx = [tex]\frac{2}{2}[/tex]

Δy / Δx = 1

Therefore, the rate of change of y is 1 ft/s

Answer:

1,94,658km

Step-by-step explanation:

If you are talking about how much distance it has to travel in 1 second then you can simply subtract 1,05,342 from 3,00,000. This process gives total of 1,94,658km remaining for it to travel.

Goodluck

Answer:

40

Step-by-step explanation:

The median is the middle number

There are 10 numbers

The middle is between 5th and 6th number

Take the 5th and 6th numbers and average them

(39+41)/2 = 80/2 = 40

The median is 40

Mass of each rock in Nija's collection is 40.

Answer:

The median is the middle number

n=10 numbers

The middle is between 5th and 6th number

Taking the 5th and 6th numbers:

average(39+41)/2 = 80/2 = 40

Answer:

y = 5x – ¼

Step-by-step explanation:

The equation for the slope intercept form is given by:

y = mx + c

Where m and c are the slope and intercept on the y-axis respectively.

From the equation i.e y = mx + c, we can see that y is the subject of the equation.

Now, comparing the equation of the slope intercept form (i.e y = mx + c) with those given in the question above, we can see that only the equation:

y = 5x – ¼

has y as the subject of the equation.

Therefore, y = 5x – ¼ gives the correct answer to the question.

Answer:

{x|x rx>-2}

Step-by-step explanation:

hope helpful answer

Answer:

22%

Step-by-step explanation:

their is a total of 2392 adults, the number of people, who would be most likely to chose Italian food is 526.

p= 526/ 2392=22%

The probability of choosing Italian food is 21.9%.

"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one".

For the given situation,

Total number of adults = 2392

American food = 670

Italian food = 526

Mexican food = 407

Chinese food = 383

Japanese food = 167

Others = 239

The event is the probability of choosing Italian food.

[tex]P(e)=\frac{526}{2392}[/tex]

⇒[tex]P(e)=0.219[/tex]

Rounded to nearest whole percent = [tex]0.219[/tex] × [tex]100[/tex]

⇒[tex]21.9\%[/tex]

Hence we can conclude that the probability of choosing Italian food is 21.9%.

Learn more about probability here

brainly.com/question/13604758

#SPJ2

I think the 4th one but Im not too sure please forgive me if I'm wrong.

Answer:

F (5,-8)

Step-by-step explanation:

By rearranging,

y= 4x-28

Substitute each of the x values of the answers, eventually you will get to F and discover that when x = 5, y= -8

y= 4(5) - 28

y= -8

So, when x= 5, y= -8,

Point F is  (5,-8)

Answer:

The rate of decrease is: [tex]43.2mm^3/min[/tex]

Step-by-step explanation:

Given

[tex]l = 18mm[/tex]

[tex]\frac{dl}{dt} = -0.8mm/min[/tex] ---- We used minus because the rate is decreasing

Required

Rate of decrease when: [tex]l = 18mm[/tex]

The volume of the cube is:

[tex]V = l^3[/tex]

Differentiate

[tex]\frac{dV}{dl} = 3l^2[/tex]

Make dV the subject

[tex]dV = 3l^2 \cdot dl[/tex]

Divide both sides by dt

[tex]\frac{dV}{dt} = 3l^2 \cdot \frac{dl}{dt}[/tex]

Given that: [tex]l = 18mm[/tex] and [tex]\frac{dl}{dt} = -0.8mm/min[/tex]

[tex]\frac{dV}{dt} = 3 * (18mm)^2 * (-0.8mm/min)[/tex]

[tex]\frac{dV}{dt} = 3 * 18 *-0.8mm^3/min[/tex]

[tex]\frac{dV}{dt} = -43.2mm^3/min[/tex]

Hence, the rate of decrease is: 43.2mm^3/min

Answer:

the answer is 3.5

Step-by-step explanation:

Answer:

The letters M, N, A , E appear twice and G, T appear once.

So, the first case was where all the letters were different, thus, the number of words formed were:

6C5 . 5!(further permutation) = 720

the second case was where there were two groups of two alike letters and one different letter. Thus, the number of words formed were:

2C1 . 4C2 . 3! = 72

the third case was where there were one group of two alike letters and three different letters.

Thus, the number of words formed were:

4C1 . 5C3 . 4!= 960

thus, the total number of words were:

720 + 72 + 960 = 1752

but this answer is wrong as the Real answer is 1824.

Step-by-step explanation:

Answer:

Kelvin’s error is that when he got the final result, that was the amount that was marked down. He still needed to find the price after the original price was marked down by that number wich in this case is $18.39. So using one of his steps, 30.65(0.6)=18.39. We can subtract 30.65 (original price) and 18.39 (mark down price). You’d get 11.26 dollars as the final price.

Answer:

H0 : μd = 0

H1 : μd > 0

Step-by-step explanation:

The scenario described above can be compared statistically using a paired test mean as the mean if the two groups are dependent, the two restaurants, Albuquerque and Santa Fe are both restaurant locations of a single restaurant company. Hence, to test the mean difference, we use the paired test statistic. Defined thus `

Null hypothesis ; H0 : μd = 0 and the Alternative hypothesis ; H1 : μd > 0

Answer:

Two Sample T test with Ha = Albernuque>Santa Fe

Step-by-step explanation:

Khan

Answer:

598.16

Step-by-step explanation:

Eh you should have the formula if not I can't really type it but ,trust, the answer is 598.16 in²

Answer:

261.3 in.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hi there!

TL;DR: Observe the vertices of the shapes inside the circles and their relationship with the circle.

For the first figure, the rectangle has 4 vertices and there are 4 dots on the perimeter of the circle.

For the second figure, the triangle has 3 vertices and there are 3 dots on the perimeter of the circle.

For the third figure, the line has 2 points and there are 2 dots on the perimeter of the circle.

For the fourth figure, there would most likely be only one dot on the perimeter of the circle (4, 3, 2, 1). The only option that shows this is B.

I hope this helps!

Answer:

Result:

{0, 3/7}

Decimal approximation:

{0, 0.428571}

Step-by-step explanation:

Find the norm...

and you know I wanna speedrun