What is the area of the rectangle below?
a. 16 units
b. 32 units?
c. 39 units
d. 52 units?
3 units
13 units

Answer:

126

Step-by-step explanation:

There are 9 city council members.

We have to choose 4 of them.

We have to use the combination as :

\($^9C_4$\)

where, 9 is the population size

4 is the sample size.

Therefore, the total number of possible samples without replacement is given as :

\($^9C_4=\frac{9!}{4!(9-4)!}$\)

      \($=\frac{9!}{5! \ 4!}$\)

     \($=\frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1}$\)

    = 126

Answer:

Step-by-step explanation:

The experimental probability of the cube landing on three is 1/10.

Here is a possible implementation for flipping a fair coin 10 times and recording the number of heads, repeating the experiment 100 times.
outcomes = []
for i in range(100):
   num_heads = 0
   for j in range(10):
       if randint(0, 1) == 0:
           num_heads += 1
   
Plt.show()b) Here is a possible implementation for flipping a fair coin 1,000 times and repeating the experiment 10,000
for i in range(10000).
   num_heads = 0
   for j in range(1000):
       if randint(0, 1) == 0:
           num_heads += 1
 
   return n * p
def binom_var(n, p):
   return n * p * (1 - p)
def binom_sem(n, p):

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Answer:

16%

Step-by-step explanation:

Equation: \(\frac{new value-old value}{old value}\) * 100

\(\frac{3.70-3.20}{3.20}\)* 100= \(\frac{0.50}{3.20}\)* 100

0.15625 (round to .16)

16%

Answer:

490.0...

Step-by-step explanation:

4.9 x 10^2

(squared)

4.9 x 10 x 10

the easiest way to do this is to move the decimal 2 places to the right, as

10 x 10 = 100

4.9 x 100 = 490.0...

Answer:

D.)

Step-by-step explanation:

Combine Like Terms:

=3x+3x+3x+2+2

=(3x+3x+3x)+(2+2)

=9x+4

have a great day (っ◔◡◔)っ ❤

Answer:

the correct answer is D

Step-by-step explanation:

Answer:

$4,725

Step-by-step explanation:

multiply 4,500x0.07=225 add that to 4,500

Answer:

Step-by-step explanation:

The two 'slashes' on the 2 edges indicate that it's an isosceles triangle ( the base angles are equal)

Total angles in a triangle = 180.

Thus,

3x + 4x+2+4x+2= 180.

11x+4=180

11x=176

Therefore, x= 16°

Thus,

3x = 3(16) = 48°

The (4x+2)'s =

4(16)+2

=66° each.

Hope this helps! :)

Answer:

Approximately 0.1894 or 18.94% of the population is less than 10.0.

Step-by-step explanation:

On use the z-score formula and the standard normal distribution.

a. To compute the z-value associated with 14.3, we use the formula:z = (x - μ) / σWhere:

x = 14.3 (the value)

μ = 12.2 (mean)

σ = 2.5 (standard deviation)

Substituting the values:

z = (14.3 - 12.2) / 2.5

z = 2.1 / 2.5

z ≈ 0.84

Therefore, the z-value associated with 14.3 is approximately 0.84.

b. To obtain the proportion of the population between 12.2 and 14.3, we need to get the area under the standard normal distribution curve between the corresponding z-scores.

Using a standard normal distribution table or a calculator, we can find the area associated with each z-score.The z-value for 12.2 can be calculated using the same formula as in part a:

z1 = (12.2 - 12.2) / 2.5

z1 = 0 / 2.5

z1 = 0

The z-value for 14.3 is already known from part a: z2 ≈ 0.84.

Now, we obtain the proportion by subtracting the area associated with z1 from the area associated with z2:

Proportion = Area(z1 < z < z2)

Using a standard normal distribution table or a calculator, we obtain:

Area(z < 0) ≈ 0.5000 (from the table)

Area(z < 0.84) ≈ 0.7995 (from the table)

Proportion = 0.7995 - 0.5000

Proportion ≈ 0.2995

Therefore, approximately 0.2995 or 29.95% of the population is between 12.2 and 14.3.

c. To obtain the proportion of the population less than 10.0, we need to get the area under the standard normal distribution curve to the left of the corresponding z-score.Using the z-score formula:z = (x - μ) / σ

Where:

x = 10.0 (the value)

μ = 12.2 (mean)

σ = 2.5 (standard deviation)

Substituting the values:

z = (10.0 - 12.2) / 2.5

z = -2.2 / 2.5

z ≈ -0.88

Now, we obtain the proportion by looking up the area associated with z ≈ -0.88 using a standard normal distribution table or a calculator:

Area(z < -0.88) ≈ 0.1894 (from the table)

Therefore, approximately 0.1894 or 18.94% of the population is less than 10.0.

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Answer: 3.14159

Step-by-step explanation:

Step-by-step explanation:

by using similarity and enlargement

10/8 = 7+y/7

70=56+8y

8y=14

y= 7/4

10/8 = 5+x/5

50=40+8x

x = 8/10 = 4/5

Step-by-step explanation:

7/7+y=8÷10

46+8y=70(Cross multiply)

8y=70-46

y=24÷8

y=3

Step-by-step explanation:

We know that exterior angle of a triangle is equal to the sum of two opposite interior angles

So,

x = 53°+ 45°

x = 98°

The value of x is 98°

Hope it will help :)

The probability that a randomly selected utility bill is,

a) P(X < 68) ≈ 0.016 or 1.6%

b) P(81 < X < 90) ≈ 0.1476 or 14.76%

c) P(X > 120) ≈ 0.0912 or 9.12%

To find the probability in each case, we can use the standard normal distribution by converting the given values into z-scores.

a) To find the probability that a randomly selected utility bill is less than $68, we need to find P(X < 68). First, we calculate the z-score using the formula z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.

z = (68 - 100) / 15 = -2.1333

Using a standard normal distribution table or a calculator, we can find the corresponding cumulative probability for z = -2.1333, which is approximately 0.016. Therefore, the probability P(X < 68) is approximately 0.016 or 1.6%.

b) To find the probability that a randomly selected utility bill is between $81 and $90, we need to find P(81 < X < 90). We calculate the z-scores for both values:

z1 = (81 - 100) / 15 = -1.2667

z2 = (90 - 100) / 15 = -0.6667

Using the standard normal distribution table or a calculator, we find the cumulative probability for z1 and z2: P(z1) ≈ 0.1038 and P(z2) ≈ 0.2514. Then, we subtract P(z1) from P(z2) to find the probability between the two values:

P(81 < X < 90) ≈ P(z1 < Z < z2) ≈ P(z2) - P(z1) ≈ 0.2514 - 0.1038 ≈ 0.1476 or 14.76%.

c) To find the probability that a randomly selected utility bill is more than $120, we need to find P(X > 120). We calculate the z-score:

z = (120 - 100) / 15 = 1.3333

Using the standard normal distribution table or a calculator, we find the cumulative probability for z = 1.3333, which is approximately 0.9088. Since we want the probability of X to be greater than 120, we subtract this value from 1:

P(X > 120) ≈ 1 - P(z) ≈ 1 - 0.9088 ≈ 0.0912 or 9.12%.

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Answer:

24 IN.

Sorry for all caps

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

5(x^2 - 9) - 5 = -5

5x^2 - 45 = 0

5x^2 = 45

x^2 = 9

x = 3

Answer:

3

Step-by-step explanation:

I did the test

Hope this helps :)

On calculating, we get the answer as 1 - e-2 (approximately 0.865 or 0.87 approximating upto two decimal places). Hence, the correct option is (B).

Given:Iterated integral to compute:∫0 2∫2y4e-x2dxdy(Hint: You may need to change the order of integration.)Solution:Let us solve the given problem using the order of integration in dx dy.(Given) ∫0 2∫2y4e-x2dxdy

= ∫0 2∫0 x/2 e-x2dydx ......... Change the limits of the integral by considering y

= x/2, i.e., y varies from 0 to x/2.Let us solve the integral with respect to y first.∫0 x/2 e-x2dy

= e-x2(y/2)0x/2

= (e-x2/2) * x/2 Replacing the value of ∫0 x/2 e-x2dy in the main integral, we get,∫0 2∫0 x/2 e-x2dydx

= ∫0 2 x/2 * e-x2/2 dx

= [- e-x2/2]02

= 1 - e-2.On calculating, we get the answer as 1 - e-2 (approximately 0.865 or 0.87 approximating upto two decimal places). Hence, the correct option is (B).

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Answer:

The answer would be D

Step-by-step explanation:

To find how many Katie has, you would have to double it ( times by 2 ). Then subtract 3, since Alejandro has three less than twice as many as Katie.

Answer:

the answer is d just did the test got it right

Step-by-step explanation:

Answer:

no 8x is the no a questions

Answer:

x3 − 2x + x3  ⇒ cubic

4x2 − 6x − 8x2  ⇒ quadratic

6x − 6 + 6x  ⇒ linear

5 + 4x2 − 4x2 + 5  ⇒ constant

Step-by-step explanation:

For the other question its

Classify each polynomial as a monomial, binomial, or trinomial. Combine like terms first.

x3 + 3x3 + 2x  ⇒ binomial

2x3 + 5x + 3x4 − x  ⇒ trinomial

4x − 5x + x − 2  ⇒ monomial

6x2 + 5 − 2x2 − 9  ⇒ binomial

Answer:

$936.18

Byehave fun k bye

There have been numerous cases of athletes being accused of using performance-enhancing drugs, and the numbers may vary depending on the sport, country, and time period in question.

Additionally, determining how many athletes were using or not using performance-enhancing drugs would require specific information on individual cases.

Regarding the percentage of athletes falsely accused of using performance-enhancing drugs, it is difficult to determine an accurate figure without examining each case in detail. False accusations may occur due to various reasons, such as flawed testing procedures or contaminated supplements, and the percentage of false accusations may vary depending on the situation.

If you have a specific case or sport in mind, I can try to provide you with more information on that topic.

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Based on simulation, the estimated probability that the profit per unit will be less than $4 is 31.6%.

To estimate the probability, we can simulate the profit per unit using a random number generator with a normal distribution based on the given mean and standard deviation. We can then count the number of times the simulated profit per unit is less than $4 and divide by the total number of simulations to get the estimated probability. By repeating the simulation multiple times and taking the average, we can increase the accuracy of the estimate. In this case, the simulation result suggests that there is a significant chance that the project may not be sustainable if the profit per unit is less than $4.

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Verifying Identity with a calculator requires an individual to enter specific numerical values into a calculator and then solve a given equation. This can be used to prove the validity of an equation, or the accuracy of a given answer.

The equation is typically written in algebraic form and includes numerical values.Verifying Identity with a calculator requires an individual to enter specific numerical values into a calculator and then solve a given equation. This can be used to prove the validity of an equation, or the accuracy of a given answer. For example, if an individual is asked to verify the identity \(sin^2x + cos^2x\)= 1, they will be given numerical values to plug into the equation. For example, if they are given x = 60, they would enter\((sin60)^2 + (cos60)^2\) into the calculator and solve. This should result in an answer of 1, proving the equation is accurate.

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Answer:

(a) y = 1.6x

(b) y = 48

Step-by-step explanation:

(a) Since y varies directly as x,

  y ∝ x

  y = kx [where k = proportionality constant]

  If y = 8 and x = 5

  By substituting these values in the equation,

  8 = 5k

  k = \(\frac{8}{5}\)

  k = 1.6

  Therefore, equation will be,

   y = 1.6x

(b) If x = 30, then we have to find the value of y.

   By substituting the value of x in the equation,

   y = 1.6 × 30

   y = 48  

Answer:

\(\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Step-by-step explanation:

\(\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)