find the perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2). Round your answer to the nearest hundredth.

Probability that randomly selected audient attend all the concerts is 0.05.

What is probability?

P(A) = 28/100 = 0.28

P(B) = 42/100 = 0.42

P(C) = 30/100 = 0.30

P(A∩B) = 10/100 = 0.10

P(A∩C) = 8/100 = 0.08

P(B∩C) = 7/100 = 0.07

P(A∪B∪C) = 80/100 = 0.80

P(A∩B∩C) = ?

P(A∪B∪C) = P(A) + P(B) + P(C) - P(A∩B) - P(A∩C)  - P(B∩C) + P(A∩B∩C)

P(A∩B∩C) = - 0.28 - 0.42 - 0.30 + 0.10 + 0.08 + 0.07 + 0.80

= 0.05

Probability that randomly selected audient attend all the concerts is 0.05.

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Answer:

El área y volumen del prisma cuadrangular mencionado son respectivamente:

Step-by-step explanation:

Para solucionar este ejercicio debes recordar que un prisma cuadrangular tiene como base y como superficie cuadrados, por lo tanto, para calcular el área de dicho cuadrado puedes utilizar la siguiente fórmula:

Ya que el ejercicio nos da el valor de la arista (4 metros), podemos reemplazarla en la ecuación y calcular:

Por último, para calcular el volumen debes multiplicar el área superficial, el área del cuadrado calculado, por la altura del prisma, cuyo valor dentro del enunciado es de 6 metros, de esta forma:

Como puedes ver tras los cálculos, el área superficial del prisma es de \(16m^{2}\) y su volumen es \(96m^{3}\).

Answer:

Standard form

Ax + by = C

y-intercept: (C/B), 0

x-intercept: (0,A/C)

Answer:

answer is 1/2

Step-by-step explanation:

Step-by-step explanation:

6y=24-3x

6y/6=24-3x/6

y= 4-1/2x

x= -2y+8

Answer:

Please see below

Step-by-step explanation:

There are two variables so you can't really solve for both of them

Here's x:

3x = 24 - 6y

x = 8 - 2y

Here's y:

6y = 24 - 3x

y = 4 - x/2

Hope this helps :)

(Please let me know if I've gotten anything wrong!)

Answer:

6.5

Step-by-step explanation:

3X5=15

97.5/ 15 = 6.5

If Two similar cuboids have corresponding widths of 11 cm and 9 cm.

a. the ratio of their surface area is: 11/9

b. The surface area of the smaller cuboid are shapes​ is  243 cm².

a) Let's call the length of the larger cuboid "L1" and the width "W1". The length of the smaller cuboid can be represented as "L2" and the width "W2".

Since the two cuboids are similar, we have the relationship:

L1/L2 = W1/W2 = √(W1/W2)

We know that W1 = 11 cm and W2 = 9 cm, so W1/W2 = 11/9.

Squaring both sides, we get:

(W1/W2)^2 = (11/9)^2 = 121/81

Now, the ratio of their surface area can be found by taking the square root of the ratio of their lengths squared:

(L1/L2)^2 = (W1/W2)^2 = 121/81

Taking the square root of both sides:

L1/L2 = √(121/81) = 11/9

b) Let use the ratio of their surface area to find the surface area of the smaller cuboid:

SA1/SA2 = (L1/L2)^2 = (11/9)^2 = 121/81

SA2 = SA1 / (L1/L2)^2 = 363 / (121/81) = 363 * 81/121 = 243 cm²

Therefore the surface area of the smaller cuboid is 243 cm².

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(a) No, sample is large and the standard deviation of the population is known so we do not need to know anything about the shape of the distribution. Therefore, the correct option is C.

(b) The standard error of the mean is $7.

(c) The point estimate of the population mean is $265.

(d) The 80% confidence interval for the population mean is $254.62 to $275.38.

(e) The 95% confidence interval for the population mean is $249.94 to $280.06.

a) The correct answer to whether it is necessary to know anything about the shape of the distribution of the account balances in order to make an interval estimate of the mean of all the account balances is: No, the sample is large and the standard deviation of the population is known, so we do not need to know anything about the shape of the distribution. With a large sample size, the Central Limit Theorem allows us to assume that the sampling distribution of the mean will be approximately normal. Hence, the correct answer is option C.

(b) The formula for standard error of the mean is:

SE = σ/√n

where σ is the population standard deviation, n is the sample size, and √ is the square root. Substituting the given values, we get:

SE = 77/√121

SE = 7

(c) The point estimate of the population mean is simply the sample mean, which is given as $265.

(d) To construct an 80% confidence interval, we need to use the formula:

CI = x ± zα/2 * (σ/√n)

where x is the sample mean, zα/2 is the z-score corresponding to the desired level of confidence (in this case, 80% or 0.80), σ is the population standard deviation, and n is the sample size. From the z-table, we find that the z-score for an 80% confidence interval is 1.28. Substituting the given values, we get:

CI = $265 ± 1.28 * (77/√121)

CI = $265 ± $10.38

CI = $254.62 to $275.38

(e) To construct a 95% confidence interval, we follow the same formula but use a z-score of 1.96 (from the z-table) for the desired level of confidence. Substituting the given values, we get:

CI = $265 ± 1.96 * (77/√121)

CI = $265 ± $15.06

CI = $249.94 to $280.06

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Answer:

3/8+8/11= 97/88

Step-by-step explanation:

This is how you add

\(\frac{3}{8}\)   + \(\frac{8}{11}\)

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 3 by 11, and get 33, then we multiply 8 by 11 and get 88.

Do the same for the second term. We multiply 8 by 8, and get 64, then multiply 8 by 11 and get 88.

The problem now has new fractions to add:

33/88 + 64/88

Step 2

Since our denominators match, we can add the numerators.

33 + 64 = 97

The sum we get is: 97/88

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

And finally after we reduce we get 89

89 is larger than 88. So we're done reducing.

There you have it! Here's the final answer to 3/8 + 8/11

3/8+8/11= 97/88

Can I plss get brainly i worked so hard!

The distance across the lake is 190m. Rounding to the nearest hundredth of a meter, the answer is 190.00m.

We can use similar triangles to find the distance across the lake (DE). Since triangle CGF is similar to triangle CED, we can use ratios of the sides to find DE.

Let's call DE = x. Then, we have:

CE/FG = x/142.1

Solving for x, we have:

x = (CE * 142.1) / FG

CE = CF + FD = 130 + 60 = 190m

x = (190 * 142.1) / 142.1 = 190m

The distance across the lake is 190m. Rounding to the nearest hundredth of a meter, the answer is 190.00m.

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The complete question is :

To indirectly measure the distance across a lake, Dominic makes use of a couple landmarks at points D and E. She measures CF, FD, and FG as marked. Find the distance across the lake (DE), rounding your answer to the nearest hundredth of a meter.

Answer:

Step-by-step explanation:

\(y=-3(x^2+10x+25)-1\\ \\ y=-3x^2-30x-76\\ \\ dy=-6x-30\\ \\ d^2y=-6\\ \\ \text{Since the second derivative is always negative, when the first derivative is equal to zero the function will be at a global maximum.}\\ \\ dy=0=-6x-30\\ \\ x=-5\\ \\ f(-5)=-1\\ \\ \text{So the global maximum occurs at the point (-5,-1)\)

\(==================================\)

the given equation is written in slope-intercept form, which looks like so:

\(\pmb{y=mx+b}\)

where

\(\pmb{m}\) is the slope of the line

\(\pmb{b}\) is the y-intercept of the line

in order to determine the slope & the y-intercept, just look at the equation:

\(\pmb{y=3x-7}\)

slope: \(\pmb{3}\)

y-intercept: \(\pmb{-7}\) or ( \(\pmb{0, -7}\))

\(===================================\)

Hope everything is clear; if you need any more explanation, kindly let me know.

The number of hours each 12 inches candle will last, found using the linear equation  obtained from Mason's measurement  is 24 hours

A linear function is a relationship between  two variables, that when plotted produces a straight line graph.

The initial length of the candle = 12 inches

Number of hours the candle has been lit, 1 1/2 hour = 1.5 hour

4 1/2 hour = 4.5 hour

11 1/4 inches = 11.25 inches

9 3/4 inches = 9.75 inches

The ordered pair of the height of the candle and height are;

(1.5, 11.25), (4.5, 9.75)

The slope of the line that represent the height as a function of time is therefore;

(9.75 -  11.25)/(4.5 - 1.5) = -0.5

The equation of the line in point-slope form is therefore;

y - 11.25 = (-0.5) × (x - 1.5) = -0.5·x + 0.75

y - 11.25 = -0.5·x + 0.75

y   = -0.5·x + 0.75  + 11.25

y = -0.5·x + 12

The above equation  produces the height y after a time x

When the candle finishes, the  height is zero, therefore;

y = 0 = -0.5·x + 12

0.5·x = 12

x = 12 ÷ 0.5 = 24

The number of hours the candle will last, x = 24 hours

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a) The solution for b in the equation 2b × 3 = 6 is b = 1.

b) The solution for b in the equation 32 - 3b = 2 is b = 10.

c) The solution for b in the equation 6 + 7b = 41 is b = 5.

d) The solution for b in the equation 100/5b = 2 is b = 10.

a) To solve for b in the equation 2b × 3 = 6, we can start by dividing both sides of the equation by 2 to isolate b.

2b × 3 = 6

(2b × 3) / 2 = 6 / 2

3b = 3

b = 3/3

b = 1

Therefore, the solution for b in the equation 2b × 3 = 6 is b = 1.

c) To solve for b in the equation 6 + 7b = 41, we can start by subtracting 6 from both sides of the equation to isolate the term with b.

6 + 7b - 6 = 41 - 6

7b = 35

b = 35/7

b = 5

Therefore, the solution for b in the equation 6 + 7b = 41 is b = 5.

b) To solve for b in the equation 32 - 3b = 2, we can start by subtracting 32 from both sides of the equation to isolate the term with b.

32 - 3b - 32 = 2 - 32

-3b = -30

b = (-30)/(-3)

b = 10

Therefore, the solution for b in the equation 32 - 3b = 2 is b = 10.

d) To solve for b in the equation 100/5b = 2, we can start by multiplying both sides of the equation by 5b to isolate the variable.

(100/5b) × 5b = 2 × 5b

100 = 10b

b = 100/10

b = 10.

Therefore, the solution for b in the equation 100/5b = 2 is b = 10.

In summary, the solutions for b in the given equations are:

a) b = 1

c) b = 5

b) b = 10

d) b = 10

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Answer:

a1 =5/2

r=4

a3=ar^3-1

a3=5/2×4^2

a3=5/2×16

a3=5×8

a3=40

(f(x)=-(x+5)^2+1\).

To find the expression of the translated function, \(h\),we have to move \(f\) four units left and two units down.

This means that \(h(x)=f(x+4)-2\),We need to substitute

\((x+4)\) for x in the original function and then subtract 2.

We get:\[h(x)=f(x+4)-2= -[(x+4)+5]^2+1-2=-[(x+9)]^2-1\]

The expression of the translated function,

\(h(x)\) is \[h(x)= -[(x+9)]^2-1.\]

It is less than 100 words.

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Answer: 338 Sq. Ft.

Step-by-step explanation:

26 is the identified length, half of 26 is 13 therefor 13 is the width. Length x Width gives you the area, 26 x 13 gives you 338 Sq. Ft.

Answer:

45.00%

Step-by-step explanation:

The total answers count 40 - it's 100%, so we to get a 1% value, divide 40 by 100 to get 0.40. Next, calculate the percentage of 18: divide 18 by 1% value (0.40), and you get 45.00% - it's your percentage grade.

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Answer:

Expressions A,C and E

Step-by-step explanation:

Collecting like terms will give us :

-5.5z +7y - 5

This is expression E

Expressions A and C are equivalent expressions meaning that they are the same thing but just in a different order.

Answer:

x=8 is true for the this condition

Step-by-step explanation:

4x<34

if x=8

4*8<34

32<34

which is true

if x=10

40 is not greater than 34, so it not satisfied the condition

Answer:

D. y=5x+2

Step-by-step explanation:

The y int. is 2, and the slope is 5/1. If you plug that into a calculator, you can see the slope being steep.

Answer:

The distributive property

Step-by-step explanation:

When you have a number on the outside of a set of parenthesis, you can remove the parenthesis by multiplying the term on the outside by each of the terms on the inside. This is known as the distributive property.

Answer:

Step-by-step explanation:

\(log_{base} answer=x\)

same as

\(base^{x}=answer\)

Ex    \(log_{5} 25=x\)

same as

\(5^{x} =25\)

Answer:

C)

Step-by-step explanation:

\(2xy^{2}-5y^{5}\)

Binomial should have two terms. Five degree binomial means highest degree of the binomial should be 5

Answer:

The angle made by two secants intersecting outside a circle is half the difference between the intercepted arc measures. When two secants intersect outside a circle, there are three angle measures involved: The angle made where they intersect (angle APB above) The angle made by the intercepted arc CD.

Step-by-step explanation:

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8/19 or 42.1%

add all values up to a total, then find the percentage from that total.

8 + 2 + 1 + 3 + 5 = 19 balls total

8 tennis valls to 19 total.

8/19 or 42.1%

Using the given expression, the number of tiles Mr. Grants will need to buy is 48

From the question, we are to use the given expression to determine the number of tiles Mr. Grant would have to buy

From the given information,

The given expression is,

27 ÷ s²

and

Mr. Grants decides to buy square tiles that have side lengths of 3/4 foot

That is,

s = 3/4

Now,

Using the given expression

27 ÷ s²

We get

27 ÷ (3/4)²

27 ÷ 9/16

= 27 × 16 / 9

= 3 × 16
= 48

Hence, he will need to buy 48 of the tiles

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\(\underset{same~base \qquad }{e^{4x}=e^{x^2+3}}\implies 4x=x^2+3\implies 0=x^2-4x+3 \\\\\\ 0=(x -3)(x - 1)\implies x= \begin{cases} 3\\ 1 \end{cases}\)