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NARA [144]
3 years ago
14

A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data greater tha

n 6.9.
about 16 %

about 34%

about 13.5%

about 2.5%
Mathematics
1 answer:
ankoles [38]3 years ago
6 0
P(x > 6.9) = 1 - P(x < 6.9) = 1 - P[z < (6.9 - 5.1)/0.9] = 1 - P(z < 2) = 1 - 0.97725 = 0.02275.

Therefore P(x > 6) is about 2.5%
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If there are 25 students in a class and 13 are girls, what is the ratio of boys to girls? Is the relationship, part to part, par
Alexeev081 [22]
12 to 13 is the ratio.
3 0
3 years ago
The legs of a 45 45 90 triangle have a length of 8 units what is the length of the hypotenous
Crank

Answer:

11.31 units

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + 8^2 = c^2

64 + 64 = c^2

128 = c^2

Opposite of exponents is square roots, and we need to get rid of that exponent in c^2, meaning we find the square root.

\sqrt{128\\} \\\\ = c

c = 11.31 units

3 0
3 years ago
Which of these is incorrect? A) 41,792 &lt; 42,699 B) 42,699 &gt; 43,595 Eliminate C) 42,699 &lt; 44,792 D) 43,595 &gt; 41,792
eimsori [14]
B is the correct answer
4 0
3 years ago
Read 2 more answers
A ladder is resting against a wall. The ladder and the ground make an angle of 42.5° and the ladder is 10 feet long. How far awa
MA_775_DIABLO [31]
Cosα=x/L

x=Lcosα, we are told the ladder is 10ft and α=42.5 so

x=10cos42.5° ft

x≈7.37 ft (to nearest hundredth of a foot)

3 0
3 years ago
PLEASEEE I DONT KNOW HOW TO DO ITTTT. THE 35.8 IS RIGHT BUT I CANT GET MEASURE OF ANGLE C AND A I GOT 46.2 for A AND 70.8 for C
Rashid [163]

Answer:

Hope it helps....!!!!!

Step-by-step explanation:

AB = c = 38

BC = a = 29

AC = b

Angle ABC = 63 degrees

Solving for AC   "b":

Cosine rule: c^2 = a^2 * b^2 -2ab * cos C

38^2 = 29^2 * b^2 - (2* 29) * b * (cos 38)

1444 = 841 * b^2 - 58 * b * 0.955

(1444 + 58)/0.955 = b^2 * b

1572.77486911 = b^3

11.62935 = b

11.63 = b (rounded to two decimal places)

Now solving for angle A:

Sine rule: a/sinA = b/sinB

29/sinA = 11.63/sin(63)

sinA/29 = sin(63)/11.63

sin A = (sin(63)/11.63) * 29

sin A = 0.41731

A = sin^-1 (0.41731)

A = 24 degrees 39 minutes 53 seconds

Now solving for angle C:

Sine rule: c/sinC = b/sinB

38/sinC = 11.63/sin(63)

sinC/38 = sin(63)/11.63

sin C = (sin(63)/11.63) * 38

sin C = 0.54682

C = sin^-1 (0.54682)

C = 33 degrees 8 minutes 56 seconds

3 0
3 years ago
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