Belleville High School offers classes on three different foreign languages. Let A be the event that a student is in eleventh grade, and let B be the event that a student is enrolled in French class. A 5-column table has 4 rows. The first column has entries Tenth grade, eleventh grade, twelfth grade, total. The second column is labeled Spanish with entries 107, 56, 89, 252. The third column is labeled French with entries 122, 68, 82, 272. The fourth column is labeled German with entries 6, 14, 8, 28. The fifth column is labeled Total with entries 235, 138, 179, 552. Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A). A and B are independent events because P(A∣B) = P(B). A and B are not independent events because P(A∣B) ≠ P(A). A and B are not independent events because P(A∣B) ≠ P(B).

Answer:

467

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are the missing values;

Mean μ = 15.5 minutes

Standard deviation = 1.7 minutes

A Random sample of 90 completion

The sample mean = 15.4 minutes

Level of significance = 0.1

Then the following analysis can be made on the above study.

Firstly, the null hypothesis is [tex]\mathbf{H_o : \mu = 15.5}[/tex]

the alternative hypothesis is [tex]\mathbf{H_a: \mu < 15.5}[/tex]  

Since, the value is less than, then this is a one-tailed test.

The Z test statistics can be computed as:

[tex]Z = \dfrac{ \overline x - \mu }{\dfrac{\sigma}{\sqrt{n}} } \ \ \sim \ \ N(0.1)[/tex]

[tex]Z = \dfrac{ 15.4-15.5 }{\dfrac{1.7}{\sqrt{90}} }[/tex]

[tex]Z = \dfrac{ -0.1 }{\dfrac{1.7}{ 9.4868} }[/tex]

Z = −0.560

The critical value of Z at 0.1  level  of significance is:

[tex]Z_{0.1} = -1.28[/tex]

Decision Rule: We fail to reject the null hypothesis sInce -0.560 > -1.28

Conclusion: NO, there is no evidence to support the claim that the mean completion time has decreased. We conclude that the mean completion time remains at 15.5 minutes.

Answer:

65.94cm

Step-by-step explanation:

The two equivalent equations to find the circumference of a circle are:

Circumference = 2 * pi * radius

Circumference = pi * diameter

Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:

Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm

Answer:

c is the correct answer i my guest

Answer:

Hi how are you doing today Jasmine

Answer:

40 and 32 i think

Step-by-step explanation:

i did it and im pretty sure its 40 and 32

Answer:

Step-by-step explanation:

15×4(which is the difference in the year)=60%(this is the depreciation percent)

The value of the car in 2017=40/100×25000=$10000

Answer:

2700

Step-by-step explanation:

i think

Answer:

b?

Step-by-step explanation:

b= v16.4

Answer:

one

Step-by-step explanation:

Answer:

6 ONES

Step-by-step explanation:

Answer:

6 ones

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

I believe the answer is 6.

Step-by-step explanation:

Answer:

simplified it is 75 the square root of 75 is 8.66025403784

Step-by-step explanation:

Answer:

the answer is 6766 and the percent is 13.2

Step-by-step explanation:

100 on the plato test

Answer:

Step-by-step explanation:

1 000 000 000 000 E12

Answer:

Step-by-step explanation:

0.000 000 000 001

Answer:

D (6,2)

Step-by-step explanation:

2x6+2=14 2x6= 12 12+2= 14

5x6-2=28 5x6=30 30-2=28

Answer:

It will be

f(x)=x+4

Answer:

[tex]\displaystyle \frac{118}{125}[/tex]

Step-by-step explanation:

Trigonometry

Calculate

[tex]\sin (3\sin^{-1}(2/5))[/tex]

We use the formula for the sine of triple angle:

[tex]\sin 3x=3\sin x-4\sin^3 x[/tex]

And recall:

[tex]\sin \sin^{-1}x=x[/tex]

For this problem, we set:

[tex]x=\sin^{-1}(2/5)[/tex]

Thus:

[tex]\sin 3x=3\sin (\sin^{-1}(2/5))-4\sin^3 (\sin^{-1}(2/5))[/tex]

[tex]\displaystyle \sin 3x=3*\frac{2}{5}-4\left(\frac{2}{5}\right)^3[/tex]

[tex]\displaystyle \sin 3x=\frac{6}{5}-4*\frac{8}{125}[/tex]

[tex]\displaystyle \sin 3x=\frac{6}{5}-\frac{32}{125}[/tex]

[tex]\displaystyle \sin 3x=\frac{6*25}{125}-\frac{32}{125}[/tex]

[tex]\displaystyle \sin 3x=\frac{150-32}{125}[/tex]

[tex]\mathbf{\displaystyle \sin 3x=\frac{118}{125}}[/tex]

Answer:

We accept H₀ for a CI = 95 % we din´t find differences in the unemployment level

Step-by-step explanation:

p₀  = 12 %     p₀  = 0,12

From sample  p = 53/500     p = 0,106

Test Hypothesis

Null Hypothesis                                      H₀                       p = p₀

Alternative Hypothesis                         Hₐ                       p < p₀

p₀*n  = 0,12*500 = 60

q₀ * n = 0,88 * 500 = 440

Then the binomial distribution can be approximate to a normal distribution

The significance level  α = 0,05     CI = 95 %

We need to develop a one-tail test (to the left ) find p-value and compare it with α.

p(s) = ( p - p₀ ) / √ p*q /n

p(s) = 0,106 - 0,12 / √(0,12)*(0,88)/500

p(s) = - 0,014 / 0,015

p(s) = - 0,93

With this P score we find the area under the bell shape curve

p-value = 0,1762 and compare that area with α = 0,05

Then p-value > 0,05

Therefore we accept H₀

Answer:

10

Step-by-step explanation:

lol

...its 10

Step-by-step explanation:

1+1+1+1+1= 5

1+1+1+1+1= 5

5+5=10

Answer:

X = 20

Step-by-step explanation:

3x + 50 = 6x -10

3x - 6x = -10 - 50

-3x = -60

x = -60/-3

x = 20

Answer:

x = 20

Step-by-step explanation:

Vertically opposite angles are congruent.

6x - 10 = 3x + 50

       6x = 3x + 50 + 10

       6x = 3x + 60

6x - 3x = 60

        3x = 60

          x = 60/3

x = 20

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent Sum Identity

Reason 3 is: Simplify

Step-by-step explanation: ED 2020

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent Sum Identity

Reason 3 is: Simplify

Step-by-step explanation:

Given:

Considering only the factors of the form x - k.

To find:

The relationship between the k values and the zeros?​

Solution:

We know that, if (x-c) is a factor of a function f(x), then x=c is a zero of function f(x), i.e., f(c)=0, where, c is a constant.

It is given that, only the factors of the form x - k. Then by using the above theorem we can say that, k values are the zeros of the function.

The relationship between the k values and the zeros is defined as

​k values = Zeros of the function

Therefore, the k values are to zeros of the function.

Answer:

800,004,500

Step-by-step explanation:

Answer:

t = 65 - 4d

Step-by-step explanation:

Linear Modeling

The temperature in St. Louis dropped by 4 degrees every day in one week.

When d days have passed, the temperature will have dropped by 4d degrees.

We know the temperature t at the beginning of the week was 65 degrees.

Thus, when d days pass, the linear model for the temperature t is:

t = 65 - 4d

Answer:

is it a division or addition

Step-by-step explanation:

for me the answer is 786

Answer:

90

Step-by-step explanation:

90