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Nataly_w [17]
2 years ago
14

An anatomy teacher hypothesizes that the final grades in her class are distributed as 10% A's, 23% B's, 45% C's, 14% D's, and 8%

F's. At the end of the semester, she has the following grades.
A 6
B 14
C 22
D 8
E 4
Test her claim at 5% significance level.
Mathematics
1 answer:
DENIUS [597]2 years ago
3 0

Answer:

At a plus or minus 5%

Her claim is wrong

Step-by-step explanation:

Ok..

Let's calculate the total amount of result first.

6 +14+22+8+4= 54.

Let's take the percentage of each.

For A

6/54= 0.11

11.1%

11.1%*5%= 10.5

For B

14/54

=0.25925

= 25.9%

25.9%*5%= 24.605

For C

22/54

0.4074

40.7%

40.7*5%= 42.73%

For D

8/54

= 0.148

14.8%

14.8%*5% = 14.06%

For E

4/54

= 0.074

= 7.4%

7.4%*5%=7.77%

But she suggested

10% A's, 23% B's, 45% C's, 14% D's, and 8% F's

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Kisachek [45]

Answer:

x=3, y= -2

Step-by-step explanation:

Multiplying :

(4x+3y =6)*-3

(3x+5y =-1)*4

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Add the equations

20y-9y = -4-18

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y= -22/11 = -2

3x +5* -2= -1

3x -10 = -1

3x = 10-1

x= 9/3 =3

4 0
2 years ago
Two Aps have the same first and last terms .The first Ap has 21 terms with a common difference of nine how many terms has the ot
Pani-rosa [81]

Answer:

46 terms

Step-by-step explanation:

a₁=b, a₂₁= bₙ, d₁=9, d₂=4

n=?

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a₂₁= a₁+20d₁= a₁+20*9= a₁+180

bₙ= b₁+(n-1)d₂= a₁+4(n-1)

a₁+4(n-1)=a₁+180

4(n-1)=180

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3 years ago
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Answer:

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What is the equation of the line that passes through the point (-1,7) and is parallel to the line y= -2x-1
Nuetrik [128]

if we look at the equation y = -2x - 1, is already in slope-intercept form, therefore, \bf y=\stackrel{slope}{-2}x-1 has a slope of -2.


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3 years ago
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aksik [14]

Answer:

x = -1

Step-by-step explanation:

\frac{2}{3} - 4x + \frac{7}{2} = -9x + \frac{5}{6}

Add 4x to each side of the equation

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Subtract ⅚ from each side

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\frac{30}{6} = -5x

5 = -5x

Divide both sides by -5

\frac{5}{-5} = \frac{-5x}{-5}

-1 = x

x = -1

8 0
2 years ago
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