Jorge wants to find the height of the house, help him find it.

Answer:

a=210ft²

The area of the triangle is 210 square feet.

Step-by-step explanation:

This is a right triangle, as shown by the Pythagorean theorem:

[tex]20^{2} +21^{2} =29^{2} \\400+441=841\\841=841[/tex]

The 2 perpendicular legs of a right triangle are also the base and height of a rectangle of the same size. A right triangle is exactly half of that rectangle, and therefore the area of a right triangle is exactly half of the area of that rectangle.

The area of that rectangle is:

[tex]a=b*h\\a=20*21\\a=420[/tex]

And then the area of the triangle is:

[tex]a=\frac{420}{2}\\a=210[/tex]

Using the probability concept, it is found that:

a) P{X + W = 1} = 0

b) P{X = 2, Y = W} = 0.0667

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, the order in which the balls are chosen is not important, hence, the combination formula is used to find the number of outcomes.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

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

In total, 8 balls are chosen from a set of 19, hence:

[tex]T = C_{19,8} = \frac{19!}{8!11!} = 75582[/tex]

Item a:

Not possible, hence:

P{X + W = 1} = 0

Item b:

Hence:

[tex]D = C_{6,2}C_{9,3}C_{4,3} = \frac{6!}{2!4!} \times \frac{9!}{3!6!} \times \frac{4!}{3!1!} = 5040[/tex]

Then, the probability is:

[tex]p = \frac{D}{T} = \frac{5040}{75582} = 0.0667[/tex]

P{X = 2, Y = W} = 0.0667

A similar problem is given at https://brainly.com/question/15536019

Answer:

l and n

Step-by-step explanation:

a/(a+b) = 37/40

(a+b)/a = 40/37

a/a + b/a = 40/37

1 + b/a = 40/37

b/a = 40/37 - 1

= 3/37

1 - b/a = 34/37

(a-b)/a = 34/37

a/(a-b) = 37/34

Good Luck

Answer:

a is 20 cm long

Step-by-step explanation:

I used a triangle solver to get that length, sorry I can't actually prove it step by step

hope this helps!

Answer: No, they don't have enough money.

==========================================================

Explanation:

Let's find the area of the shape given. It's composed of two rectangles.

The two rectangle areas add to 72+42 = 114 sq meters. This is the total floor area.

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

Let x be the number of tins of polish the caretaker buys.

One tin covers 12 m^2 of floor area. Buying x of them covers 12x square meters of space. We need to cover 114 square meters.

Solving 12x = 114 leads to x = 9.5 when you divide both sides by 12.

Since the caretake cannot buy half a tin, we must round up to the nearest whole number. This means s/he must buy 10 containers of polish.

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

Each bottle of polish costs £19

Ten of them cost 10*19 = 190 pounds. This is before the discount.

If you save 30%, then you save 0.30*190 = 57 pounds and the final price is 190-57 = 133 pounds.

Or put another way: if you save 30%, then you pay the remaining 70% and that final price is 0.70*190 = 133 pounds.

This final price is 3 more pounds than what the caretaker has, so they don't have enough money.

Answer:

x = 7

Step-by-step explanation:

The difference between the length and width is 3 , then length = x - 3

area (A) of rectangle = length × width

A = x(x - 3) = 28 , distribute parenthesis

x² - 3x = 28 ( subtract 28 from both sides )

x² - 3x - 28 = 0 ← in standard form

(x - 7)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 4 = 0 ⇒ x = - 4

However, x > 0 , then x = 7

Answer:

1.5ft

Step-by-step explanation:

32/8=4

32/4=8

6/4=1.5

Answer:

its 1

Step-by-step explanation:

it literly says it on the grid and its really simple

Answer:

The answer is D

Step-by-step explanation:

D

Answer: the answer is 25

Step-by-step explanation:

First do 100/1

Then do 1 x 100/1 x 4

so then divide 100 by 4 =

25/1 =

25

Answer:

Carla's was the better deal with $68.00

Diane's: $85.00

Step-by-step explanation:

0.2 x 85 = 17

85 - 17 = 68$

Answer:

H = V0 t + 1/2 g t^2   is the equation in question with V0 and g in different directions, they have different signs

Answer:

16. 1 4/5

17. 2 2/3

18. 4/11

19. 4 1/2

20. 4/7

21. 1/2

22. 1 2/5

23. 2 1/2

24. 4 2/3

Step-by-step explanation:

1. subtract whole numbers first

2. subtract fractions next (simplify if you can)

3. subtract fractions and whole numbers

Answer:

A) 0.25/0.6      B) 40:96    E) 1/3 / 0.8

Step-by-step explanation:

A)

0.25/0.6  = 1/4÷3/5

=5/12

B)

40:96 = 5:12               You can divide 40 and 96 both by 8 to get 5:12

=5/12

E)

1/3 / 0.8 = 1/3 ÷ 4/5

=5/12

Hope this helps :)

Answer:

Step-by-step explanation:

Given set:

We observe that:

Each term can be shown as 3ⁿ, where n is natural number between 0 and 3.

Set builder notation:

Here let's observe

So set builder form:-

[tex]\\ \sf\longmapsto E=\{x|x=3^n,n\in N,0\leqslant n\leqslant 3\}[/tex]

Using the principle of expected value and discrete probability distribution, the missing values are :

The Expected value, E(X) is defined thus :

The cummulative sum of the probability is 1 :

Hence, we have ;

2** + ** + 0.40 + 0.13 + 0.02 = 1

3** + 0.55 = 1

3** = 1 - 0.55

3** = 0.45

** = 0.45 / 3

** = 0.15

Hence,

* = 2(0.15)

* = 0.30

To find *** :

E(X) = (0 × 0.30) + (1 × 0.15) + (*** × 0.40) + (4 × 0.13) + (5 × 0.02)

12.77 = 0 + 0.15 + 0.40*** + 0.52 + 0.10

12.77 = 0.77 + 0.40***

12.77 - 0.77 = 0.40***

12.00 = 0.40***

*** = 12.00/0.40

*** = 30

B.)

P(1 ≤ Y ≤ 4) = P(y = 1) + P(y = 4)

P(1 ≤ Y ≤ 4) = 0.15 + 0.13 = 0.28

Learn more : https://brainly.com/question/25716562

Using the t-distribution, it is found that since the absolute value of the test statistic is less than the critical value for the two-tailed test, you cannot conclude that the mean sales differ between the two programs.

At the null hypothesis, it is tested if the mean sales do not differ between the two programs, that is, the subtraction of the means is 0, hence:

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

At the alternative hypothesis, it is tested if they differ, that is:

[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]

The mean and the standard errors for each sample are:

[tex]\mu_1 = 42, s_1 = 5.9675[/tex]

[tex]\mu_2 = 44.56, s_2 = 5.6177[/tex]

The distribution of the difference has mean and standard deviation given by:

[tex]\overline{x} = \mu_2 - \mu_1 = 44.56 - 42 = 2.56[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{5.9675^2 + 5.6177^2} = 8.1957[/tex]

The test statistic is:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Then:

[tex]t = \frac{2.56 - 0}{8.1957}[/tex]

[tex]t = 0.31[/tex]

The critical value for a two-tailed test, as we are testing if the mean is different of a value, with 9 + 9 - 2 = 16 df and a significance level of 0.05 is [tex]|t^{\ast}| = 2.12[/tex]

Since the absolute value of the test statistic is less than the critical value for the two-tailed test, you cannot conclude that the mean sales differ between the two programs.

A similar problem is given at https://brainly.com/question/13873630

Answer:

One face of a US quarter has an area of approximately 461.21 square millimeters.

Step-by-step explanation:

Answer:

182 miles

Step-by-step explanation:

15 gallons -------------------------  420 miles

1 gallons --------------------------- 420/15 miles

1 gallons   ---------------------------  28 miles

6.5 gallons  -------------------------- 6.5 × 28 miles

6.5 gallons  --------------------------  182 miles

The car can go 182 miles on 6.5 gallons.

It is given that the a car can go 420 miles on a tank of gas of 15 gallons in a tank.

It is required to find the how many kilometers can this car go on 6.5 gallons.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.

We have a car can go 420 miles on 15 gallons gas.

A car can go on 1 gallon = [tex]\frac{420}{15}[/tex] = 28 miles ie.

A car can go on 1 gallon = 28 miles

On 6.5 gallons car can go = 6.5×28

= 182 miles

Thus, the car can go 182 miles on 6.5 gallons.

Learn more about the fraction here:

brainly.com/question/1301963

Answer:

0.2254

Step-by-step explanation:

multiply using long multuplication

Answer:

B

Step-by-step explanation:

125/29.35=4.409171076

4.409171076 is rounded to 4.41

Answer:

C.They have the same y-intercept.

Step-by-step explanation:

Edge 2021

The conclusion about the two functions is (c) they have the same y-intercept.

Functions are used to represent equation, graphs and tables

The equation of the function is given as:

[tex]f(x) = (x + 4)^2[/tex]

Set x = 0, to calculate the y-intercept

[tex]f(0) = (0 + 4)^2[/tex]

Evaluate

[tex]f(0) = 16[/tex]

From the complete question, the graph crosses the y-axis at y = 16

This means that both functions have the same y-intercept

Hence, the true statement about the functions is (c) they have the same y-intercept.

Read more about functions at:

https://brainly.com/question/15602982

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]6(12-3)+4+(3)(2)[/tex]

[tex]=(6)(9)+4+(3)(2)[/tex]

[tex]=54+4+(3)(2)[/tex]

[tex]=58+(3)(2)[/tex]

[tex]=58+6[/tex]

[tex]= 64[/tex]

64.

Hopefully, this helps you!!

[tex]Sokka[/tex]

The cost in dollars of each large envelope is $1.42.

Two equations can be derived from this question:

14p + 5l = 12 equation 1

10p + 15l = 24.80 equation 2

Where:

p = postcards

l = large envelopes

To determine the cost of large envelopes, multiply equation 1 by 10 and equation 2 by 14.

140p + 50l = 120 equation 3

140p + 210 = 347.20 equation 4

Subtract equation 3 from 4

227.20 = 160l

Divide both sides of the equation by 160

l = 227.20 / 160

l  = $1.42

To learn more, please check: brainly.com/question/23589883

Answer:

Third quadrant

Step-by-step explanation:

To count quadrants, you do it counter-clockwise, so, since the point is in the (negative, negative) quadrant, it is the third one

Answer:

y = 5(4ˣ)

Step-by-step explanation:

Answer:

y = 5 * 4^x

Step-by-step explanation:

exponential functions are of the form

y = ab^x

to find a use point (0, 5)

5 = ab^0

5 = a * 1

a = 5

To find b use any other point

using (1, 20)

20 = 5(b^1)

4 = b^1

b = 4

The equation is

y = 5 * 4^x

Using the binomial distribution, it is found that:

a) There is a 0.0501 = 5.01% probability that you need to contact four people.

b) You expect to contact 1.82 students until you find one who lives within five miles of you.

c) The standard deviation is of 1.22 students.

d) 0.3369 = 33.69% probability that 3 of them live within five miles of you.

e) It is expected that 2.75 students live within five miles of you.

For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

In this problem:

Item a:

This probability is P(X = 0) when n = 3(none of the first three) multiplied by 0.55(the fourth does live within five miles), hence:

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

[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]

[tex]p = 0.091125(0.55) = 0.0501[/tex]

0.0501 = 5.01% probability that you need to contact four people.

Item b:

The expected number of trials in the binomial distribution until q successes is given by:

[tex]E = \frac{q}{p}[/tex]

In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:

[tex]E = \frac{1}{0.55} = 1.82[/tex]

You expect to contact 1.82 students until you find one who lives within five miles of you.

Item c:

The standard deviation of the number of trials until q successes are found is given by:

[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]

Hence:

[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]

The standard deviation is of 1.22 students.

Item d:

This probability is P(X = 3) when n = 5, hence:

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

[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]

0.3369 = 33.69% probability that 3 of them live within five miles of you.

Item e:

The expected value of the binomial distribution is:

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

Hence:

[tex]E(X) = 5(0.55) = 2,75[/tex]

It is expected that 2.75 students live within five miles of you.

A similar problem is given at https://brainly.com/question/25343741

Answer:

6 437 376 m2 (2.49 mi)

Step-by-step explanation:

0.62137119 miles = 1 kilometer