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earnstyle [38]
2 years ago
15

In a group of 42 students, 9 study both Art and Biology.

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
3 0
Answer:
The probability the student studies Art and
Biology is 0.2143.
Step-by-step explanation:
Denote the events as follows:
A = a students studies Art
B= a students studies Biology
The information provided is:
N = 42
n (An B) = 9
n (A' n B) = 10
n (A' n B') =7
Then the number of students who study Art
but not Biology is:
n(An B') = N -n (An B) -n (A' nB) - n (A'n B')
= 42 - 10 - 7 - 9
= 16
The number of students who study Art but
not Biology is 16.
Compute the probability the student studies
Art and Biology as follows:
P(ANB)
n(ANB)
= 0.2143
Thus, the probability the student studies Art
and Biology is 0.2143.
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Find each unit rate.<br> 4/5of a chapter in 3/10 hour
ZanzabumX [31]

Answer:

8/3mph

Step-by-step explanation:

you must multiply both fractions by the reciprocal of 3/10 which is 10/3

(4/5 * 10/3) / (3/10 * 10/3)

(40/15) / (30/30)

(8/3) / 1

8/3 /1 = 8/3

8 0
2 years ago
In a survey of 300 T.V. viewers, 40% said they watch network news programs. Find the margin of error for this survey if we want
bixtya [17]

Answer:

<h2>0.05543</h2>

Step-by-step explanation:

The formula for calculating the margin of error is expressed as;

M.E = z * \sqrt{\frac{p*(1-p)}{n} } where;

z is the z-score at 95% confidence = 1.96 (This is gotten from z-table)

p is the percentage probability of those that watched network news

p = 40% = 0.4

n is the sample size = 300

Substituting this values into the formula will give;

M.E = 1.96*\sqrt{\frac{0.4(1-0.4)}{300} }\\ \\M.E = 1.96*\sqrt{\frac{0.4(0.6)}{300} }\\\\\\M.E = 1.96*\sqrt{\frac{0.24}{300} }\\\\\\M.E = 1.96*\sqrt{0.0008}\\\\\\M.E = 1.96*0.02828\\\\M.E \approx 0.05543

Hence, the margin of error for this survey if we want 95% confidence in our estimate of the percent of T.V. viewers who watch network news programs is approximately 0.05543

5 0
3 years ago
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35\text{ m}^30.35 m 3 0, point
Step2247 [10]

Complete question :

Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m3 of fluffy material, with base 0.5 m and height 1m

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Answer:

1.4 m

Step-by-step explanation:

The volume of wedge is given by:

V = Area of triangle * length

Area of triangle = 1/2 * base * height

Volume of wedge = 1/2 * base * height * length

Volume of wedge = 0.35m³

0.35 = 0.5 * 0.5 * 1 * length

0.35 = 0.25 * length

Length = 0.35 / 0.25

Length = 1.4 m

5 0
2 years ago
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66+36.
mestny [16]

Answer:

6(11+6)

Step-by-step explanation:

Greatest common factor of 66 and 36 = 6

66+36 = 6*11 + 6*6 = 6(11+6)

5 0
3 years ago
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MrRa [10]

Answer:

x = 4

Step-by-step explanation:

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<u>the system called binary</u>

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x =  ------------------------------------

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x = -5;  x = 4

therefore, x = 4

3 0
3 years ago
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