What is the value of x?
57°
(3x + 6)°

Answer:

Total cost for curtains = Rs.3,700

Step-by-step explanation:

Assume we have:

1 Door  ( l = 8ft, b=4ft)

3 Windows (l = 4t, b = 3.5ft)

Curtains at the rate of Rs.50 per ft²

Find:

Total cost for curtains.

Computation:

Area of door = (8)(4)

Area of door = 32 ft²

Area of 3 windows = (3)(4)(3.5)

Area of 3 windows = 42 ft²

Total ares = Area of door + Area of 3 windows

Total ares = 32 ft² + 42 ft²

Total ares = 74 ft²

Total cost for curtains = Rs.50 × Total ares

Total cost for curtains = Rs.50 × 74 ft²

Total cost for curtains = Rs.3,700

Answer:

130 women

Step-by-step explanation:

First set up a system of equations:

1.23W+2.50M=365.00

W+M=211

Using substitution you get:

1.25W+2.50(211-W)=365.00

Simplify:

-1.25W=-162.5

Divide:

W=130

Answer:

Substitute the given value into the function and evaluate:

f(x)=6x

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Answer:

Solution,

[tex]b = 6 \: ft \\ h = \sqrt{ {5}^{2} - {3}^{2} } \\ \: \: \: \: \: = \sqrt{25 - 9} \\ \: \: \: \: \: = \sqrt{16} \\ \: \: = \sqrt{ {4}^{2} } \\ \: \: \: \: = 4[/tex]

Now,

[tex]volume = \frac{1}{3} bh \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times {6}^{2} \times 4 \\ \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times 36 \times 4 \\ \: \: \: \: \: \: \: \: \: \: \: = 48 \: {ft}^{3} [/tex]

hope this helps...

Good luck on your assignment..

Answer:

Volume = 48 ft³

Step-by-step explanation:

Finding h first by Pythagorean Theorem:

=> [tex]c^2= a^2+b^2[/tex]

=> [tex]5^2= 3^2 + h^2[/tex]

=> [tex]h^2 = 25-9\\h^2 = 16[/tex]

Taking sqrt on both sides

=> h = 4 ft

Now, The volume:

=> Volume = [tex]a^2\frac{h}{3}[/tex]

=> Volume = [tex](6)^2\frac{4}{3}[/tex]

=> Volume = [tex]36 \frac{4}{3}[/tex]

=> Volume = 12 * 4

=> Volume = 48 ft³

Answer:

Step-by-step explanation:

Answer:

its b on edge

Step-by-step explanation:

Answer:

38 + 37i

Step-by-step explanation:

(9 − 4i)(2 + 5i)

FOIL

first: 9*2 = 18

Outer: 9*5i = 45i

inner: -4i * 2 = -8i

last : -4i * 5i = -20i^2 = -20(-1) = 20

Combine together

18+45i-8i +20

38 + 37i

Answer:

38+37i

Step-by-step explanation:

(9 − 4i)(2 + 5i)= 18+45i-8i-20i²= 18+20+37i= 38+37i

Answer:

$23.64

Step-by-step explanation:

Each package of seeds cost $1.97, and Maire bought and planted 12 packages. You would do 12 x 1.97 to get 23.64

Answer:

$23.64

Step-by-step explanation:

$1.97 × 12

$23.64

Hope this helps...

Answer: £625,000

Step-by-step explanation:

Previous year's profit can be calculated as:

700000 / 1.12 = 625000

The profit that should make a year before should be  £625,000.

Given that

So the profit that should make a year before should be

[tex]= \frac{700,000}{(1 + 0.12)} \\\\= \frac{700,000}{(1.12)}[/tex]

=  £625,000

Therefore we can conclude that The profit that should make a year before should be  £625,000.

Learn more about the profit here: brainly.com/question/9281343

Answer:

[tex]0 \leq P( P_B) \leq 1[/tex]

[tex]P(P_B) = 0.17[/tex]

Step-by-step explanation:

From the given question:

The probabilities are assigned using the Subjective method.

Let the probability that his roommate will choose rock be  [tex]P(R_B) = 0.28[/tex]

Let the probability that his roommate will choose scissors be [tex]P(S_B) = 0.55[/tex]

∴

[tex]P(R_B) + P(S_B) +P(P_B) = 1[/tex]

[tex]0.28+ 0.55 + P(P_B) =1[/tex]

[tex]0.83 + P(P_B) = 1[/tex]

[tex]P(P_B) = 1 - 0.83[/tex]

[tex]P(P_B) = 1 -0.83[/tex]

[tex]P(P_B) = 0.17[/tex]

So;

[tex]0 \leq P( P_B) \leq 1[/tex]

[tex]P(P_B) = 0.17[/tex]

Answer: D. [tex]y+4=(x+2)[/tex]

Step-by-step explanation: Once you subtract [tex]4[/tex] from both sides, in order to solve for y (as the equation needs to be in the slope-intercept form, otherwise known as [tex]y=mx+b[/tex]), you end up with [tex]y=x-2[/tex], which is the right answer. It is the correct answer because the y-intecept shown in the equation matches what is on the graph, in addition to the fact that the slope is just [tex]x[/tex].

Answer:

C. 7.5

Step-by-step explanation:

I took the quiz on EDGE

If the first term of the sequence is 120, then f(5) will be 7.5

The steps are as follow:

So if the first term of the sequence is 120, then f(5) will be 7.5

Learn more about recursively sequence here:

https://brainly.com/question/1275192

#SPJ2

Answer:

980 intervals.

Step-by-step explanation:

For each interval, there are only two possible outcomes. Either it captures the population mean, or it does not. One interval is independent of other intervals. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

98% confidence interval

Has a 98% probability of capturing the population mean, so [tex]p = 0.98[/tex]

1000 intervals

This means that [tex]n = 1000[/tex]

How many of these 1000 intervals do you expect to capture the corresponding value of μ?

[tex]E(X) = np = 1000*0.98 = 980[/tex]

980 intervals.

Answer:

A. [tex](2b+7)^2[/tex]

Step-by-step explanation:

[tex]4b^2 +28b + 49\\=(2b)^2 + 2\times 2b\times 7 + (7)^2\\=(2b+7)^2[/tex]

Answer:

30 feet

Step-by-step explanation:

I found the unit. So a 6 feet person casts a 2 foot shadow

I divided both numbers by 2

Therefore getting a 3 foot person casts a 1 foot shadow

If the flagpole casts a ten foot shadow I multiplied 10×1 and 30 ×1. Meaning that the 30 foot flagpole casts a 10 foot shadow

Answer:

Volume: 1080

Surface area: 654

Step-by-step explanation:

Part A:

How to solve surface Area: 2×(9×15 + 9×8 + 15×8)

How to solve volume: 9x15x8

Part B:

Surface Area

Part C:

Volume

Hope this helps

Answer:

3x-4

Step-by-step explanation:

[tex](12x^2-13x-4)\div(4x+1)= \\\\(3x-4)(4x+1)\div (4x+1)= \\\\3x-4[/tex]

Hope this helps!

Answer:

(D)0.9836

Step-by-step explanation:

There are 365 days in a year.

Since each person has a different birthday:

Therefore,

P(4 randomly selected people all have different birthdays)

[tex]=\dfrac{365}{365} \times \dfrac{364}{365} \times \dfrac{363}{365} \times \dfrac{362}{365}\\\\=0.9836[/tex]

Answer:

189

Step-by-step explanation:

9 choose 4 = (9 x 8 x 7 x 6 )/(4 x 3 x 2 x 1)=189

:D 189 ways

Answer:189

Step-by-step explanation:

Answer:

[tex]x\le \:9[/tex]

Step-by-step explanation:

[tex]5x\le 45[/tex]

[tex]\frac{5x}{5}\le \frac{45}{5}[/tex]

[tex]x\le \:9[/tex]

Answer:

B

Step-by-step explanation:

We divide the entire inequality by 5 to get rid of the coefficient of x. The ≤ stays the same so we get x ≤ 9.

Answer:

Dataset A

We have the following results:

[tex] \bar X_A = 359.786[/tex]

[tex]s_A= 60.904[/tex]

[tex] CV_A = \frac{60.904}{359.786}= 0.169 \approx 0.2[/tex]

Dataset B

We have the following results:

[tex] \bar X_B = 1.791[/tex]

[tex]s_B= 0.635[/tex]

[tex] CV_B = \frac{0.635}{1.791}= 0.355 \approx 0.4[/tex]

Step-by-step explanation:

For this case we have the following info given:

A: 431, 447, 306, 413, 315, 432, 312, 387, 295, 327, 323, 296, 441, 312

B: $1.35, $1.82, $1.82, $2.72, $1.07, $1.86, $2.71, $2.61, $1.13, $1.20, $1.41

We need to remember that the coeffcient of variation is given by this formula:

[tex] CV= \frac{s}{\bar X}[/tex]

Where the sample mean is given by:

[tex] \bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]

And the sample deviation given by:

[tex]s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

Dataset A

We have the following results:

[tex] \bar X_A = 359.786[/tex]

[tex]s_A= 60.904[/tex]

[tex] CV_A = \frac{60.904}{359.786}= 0.169 \approx 0.2[/tex]

Dataset B

We have the following results:

[tex] \bar X_B = 1.791[/tex]

[tex]s_B= 0.635[/tex]

[tex] CV_B = \frac{0.635}{1.791}= 0.355 \approx 0.4[/tex]

Answer:

[tex] P(X=3)[/tex]

And we can use the probability mass function and we got:

[tex]P(X=3)=(3C3)(0.45)^3 (1-0.45)^{3-3}=0.091[/tex]

Then the probability that all three have a smart phone is 0.091

Step-by-step explanation:

Let X the random variable of interest "number of students with smartphone", on this case we now that:

[tex]X \sim Binom(n=3, p=0452)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex] P(X=3)[/tex]

And we can use the probability mass function and we got:

[tex]P(X=3)=(3C3)(0.45)^3 (1-0.45)^{3-3}=0.091[/tex]

Then the probability that all three have a smart phone is 0.091

Answer: UW= 9√3

Step-by-step explanation:

This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.

The hypotenuse is 18. We can figure out the length of x.

2x=18

x=9

Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.

9√3

We can check our answer by using Pythagorean Theorem.

9²+(9√3)²=18²

81+243=18²

324=324

Since they are equal, we know we have the right answer.

Answer:

[tex]\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|[/tex]

Step-by-step explanation:

Cost of a bowl of salad = $5.00

Cost of a slice of pizza = $2.00

If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation:

Next, we make P the subject of the equation above.

2P=E-5S

[tex]P=\dfrac{E-5S}{2} \\P=0.5(E-5S)[/tex]

Therefore, The quantity of pizza he buys can be represented by the equation:

When E=$40, we are required to complete the table below.

[tex]\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&\\40.00&4&\\40.00&&0\end{array}\right|[/tex]

When S=0, E=$40

From P=0.5(E-5S)

P=0.5(40-5(0))=20

When S=4, E=$40

P=0.5(40-5(4))

=0.5(40-20)

=0.5*20

=10

When P=0, E=$40

P=0.5(E-5S)

0=0.5(40-5S)

40-5S=0

5S=40

S=8

Therefore, the completed table is:

[tex]\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|[/tex]

Answer:

[See Below]

Step-by-step explanation:

Point slope form is: [tex]y-y_1=m(x-x_1)[/tex]

'm' is the slope

(x1, y1) is a coordinate point.

Slope is rise over run. [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-1,5) and (3,-3).

[tex]\frac{-3-5}{3-(-1)}=\frac{-8}{4}= -2[/tex]

The slope of the line is -2.

I will use (-1,5) as the point:

[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y-5=-2(x+1)}[/tex]

Slope intercept is: [tex]y=mx+b[/tex]

'm' - Slope

'b' - y-intercept

We can use the point slope equation to convert it into slope intercept form:

[tex]y-5=-2(x+1)\\\\y-5=-2x-2\\\\y-5+5=-2x-2+5\\\\\boxed{y=-2x+3}[/tex]

Standard form is [tex]Ax+By=C[/tex]

Using out slope intercept form equation:

[tex]y=-2x+3\\\\y+2x=-2x+2x+3\\\\1y+2x=3\\\\\boxed{2x+1y=3}[/tex]

Answer:

Step-by-step explanation:

a) H0: μ = 10

Ha: μ ≠ 10

This is a two tailed test

n = 13

Since α = 0.01, the critical value is determined from the t distribution table. Recall that this is a two tailed test. Therefore, we would find the critical value corresponding to 1 - α/2 and reject the null hypothesis if the absolute value of the test statistic is greater than the value of t 1 - α/2 from the table.

1 - α/2 = 1 - 0.01/2 = 1 - 0.005 = 0.995

The critical value is 3.012

The rejection region is area > 3.012

b) Ha: μ > 10

This is a right tailed test

n = 23

α = 0.1

We would reject the null hypothesis if the test statistic is greater than the table value of 1 - α

1 - α = 1 - 0.1 = 0.9

The critical value is 1.319

The rejection region is area > 1.319

c) Ha: μ > 10

This is a right tailed test

n = 99

α = 0.05

We would reject the null hypothesis if the test statistic is greater than the table value of 1 - α

1 - α = 1 - 0.05 = 0.95

The critical value is 1.66

The rejection region is area > 1.66

d) Ha: μ < 10

This is a left tailed test

n = 11

α = 0.1

We would reject the null hypothesis if the test statistic is lesser than the table value of 1 - α

1 - α = 1 - 0.1 = 0.9

The critical value is 1.363

The rejection region is area < 1.363

e) H0: μ = 10

Ha: μ ≠ 10

This is a two tailed test

n = 20

Since α = 0.05, we would find the critical value corresponding to 1 - α/2 and reject the null hypothesis if the absolute value of the test statistic is greater than the value of t 1 - α/2 from the table.

1 - α/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975

The critical value is 2.086

The rejection region is area > 2.086

f) Ha: μ < 10

This is a left tailed test

n = 77

α = 0.01

We would reject the null hypothesis if the test statistic is lesser than the table value of 1 - α

1 - α = 1 - 0.01 = 0.99

The critical value is 2.376

The rejection region is area < 2.376

Answer:

[tex]C=120/2=60[/tex]

Step by step Explanation'

To solve this problem, we will need to apply trial-and-error calculation with the binomial distribution, even though it appears like Central Limit Theorem but it's not.

For us to know the value of C , we will look for a minimum integer such that having 'n' number of high performance level of employee has the probability below 0.01.

Determine the maximum value of C, then the maximum value that C can have is 120/n

Let us represent X as the number of employees with high performance with a binomial distribution of

P =0.02( since the percentage of chance of achieving a high performance level is 2%)

n = 20 ( number of employees who achieve a high performance level)

The probability of X= 0 can be calculated

P( X= 0) = 0.98^n

[tex]P(X=0)=0.98^20[/tex]

[tex]P(X=0)=0.668[/tex]

[tex]P(X=1)=0.02*20*0.98^19[/tex]

[tex]P(X=1)=0.272[/tex]

[tex]P(X=2)=0.02^2*20*0.98^18[/tex]

[tex]P(X=2)=0.053[/tex]

Summation of P( X= 0)+ P( X= 1)+P( X= 2) will give us the value of 0.993 which is greater than 0.99( 1% that the fund will be inadequate to cover all payments for high performance.)

BUT the summation of P( X= 0)+ P( X= 1) will give the value of 0.94 which doesn't exceed the 0.99 value,

Therefore, the minimum value of integer in such a way that P(X >2) is less than 0.01 have n= 2

then the maximum value that C can have is 120/n

[tex]C=120/2=60[/tex]

Answer:

[tex]-15.11[/tex]

Step-by-step explanation:

[tex]-12.48-(-2.99)-5.62=\\-12.48+2.99-5.62=\\-9.49-5.62=\\-15.11[/tex]

Answer:

-15.11

Step-by-step explanation:

-12.48+2.99-5.62=

-9.49 - 5.62= - (9.49+5.62)=-15.11

Answer:

A: x= -1 or x=3

B: Since the quadratic equation has two real solutions, the graph of the quadratic equation intercepts the x axis at (-1,0) and (3,0)

Step-by-step explanation:

x^2 -2x -3 =0

Factor

(x-3 )(x+1) =0

Using the zero product property

x-3 =0   x+1 =0

x=3  x=-1

The zeros are

(3,0) (-1,0)

It intersects the x axis at (3,0) (-1,0)

Answer:

(7,-1)

Step-by-step explanation:

common rule for reflections across the origin; im guessing you meant a reflection across the line y=x since it goes through the origin too.

for this make sure to add this transformation:

(x,y) --> (-x,-y)