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3 years ago

A computer company wants to determine the proportion of defective computer chips from a day's production. A

Mathematics

1 answer:

ozzi3 years ago

5 0

Answer:

0.12 ± 1.96 * √(0.12(0.88) / 100)

Step-by-step explanation:

Confidence interval :

Phat ± Zcritical * √(phat(1 -phat) / n)

Phat = 12/100 = 0.12

1 - phat = 0.88

Zcritical at 95% = 1.96

Hence, we have :

0.12 ± 1.96 * √(0.12(0.88) / 100)

0.12 ± 1.96 * 0.0324961

0.12 ± 0.0636924

Lower boundary = (0.12 - 0.0636924) = 0.0563

Upper boundary = 0.12 + 0.0636924 = 0.1837

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Estimate the square root of the imperfect square of 18.

ludmilkaskok [199]

Answer:

18 times four is 72

Step-by-step explanation:

3 0

3 years ago

Two teams of interns are wrapping donated gifts at a hospital. if the teams work alone, team a can wrap all of the gifts in 7 ho

romanna [79]

Together it would take 3 hours.
Team A can wrap all gifts in 7 hours; thus they can wrap 1/7 of the gifts in 1 hour.

Team B can wrap all gifts in 5 hours; thus they can wrap 1/5 of the gifts in 1 hour.

1/7h + 1/5h = 1, where h is the number of hours; it equals 1 because it is 100% of the gifts;

Find a common denominator. 35 is the first thing 7 and 5 will both divide into. Convert the fractions:
5/35h + 7/35h = 1
12/35h = 1

Divide both sides by 12/35:
12/35h ÷ 12/35 = 1 ÷ 12/35
h = 1/1 ÷ 12/35
h = 1/1 × 35/12
h = 35/12
h = 2.9
h ≈ 3

4 0

3 years ago

Which of the following is the minimum value of the equation y=2x^2+5

sweet-ann [11.9K]

Plug in 0 for x and you get 5. Which is your answer :)

7 0

3 years ago

(-4^-2) (49^-1/2)<br><br> Evaluate the expression

Marizza181 [45]

Answer:

-1/112

Step-by-step explanation:

$-4^{-2}=\frac{1}{-4^2}=-\frac{1}{16} \\ \\ 49^{-1/2}=\frac{1}{49^{1/2}}=\frac{1}{7} \\ \\ (-1/16)(1/7)=-1/112$

5 0

2 years ago

1. A drawing of a triangular park shows that the sides measure 12 m, 30 m, and 18 m. Can these dimensions be correct?

Varvara68 [4.7K]

Answer: 1. It is not possible to construct a triangle of given measure sides.

2. The value of ∠A is 44°

Step-by-step explanation:

Given: Three sides of a triangle

Let a= 12 m , b=30 m and c= 18 m

Now as we know

The sum of two sides of a triangle is always greater than the third side

Therefore we need to show

a+b>c -----(i)

b+c>a -----(ii)

c+a>b -----(iii)

(i a+b= 12+30 = 42>18= b ⇒ a+b>c

ii) b+c=30+18= 48 >12=a ⇒ b+c>a

iii) c+a=18+12=30=b ⇒ c+a= b

Therefore the third condition does not verified

Hence, it is not possible to construct a triangle of given measure sides.

As we now triangle sum property which states that the sum of all the three angles of a triangle is 180°

So we have

$x+59+84+x+51=180\\\\\Rightarrow 194 +2x=180\\\\\Rightarrow 2x= 180-194\\\\\Rightarrow 2x=-14\\\\\Rightarrow x= -7$

Therefore

$\angle A = x+51= -7+51= 44^\circ$

Hence, the value of ∠A is 44°

6 0

3 years ago