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Marta_Voda [28]
2 years ago
8

Use the DISCRIMINANT of the quadratic equation to determine HOW MANY and what TYPE of solutions it will have.

Mathematics
1 answer:
wel2 years ago
4 0

Answer:

Step-by-step explanation:

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(a) An article in a medical journal suggested that approximately 14% of such operations result in complications. Using this esti
aev [14]

This question is incomplete, the complete question is;

Surgical complications: A medical researcher wants to construct a

99.5% confidence interval for the proportion of knee replacement surgeries that result in complications.

- An article in a medical journal suggested that approximately 14% of such operations result in complications. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.08?

Answer: a sample of operations needed is 149

Step-by-step explanation:

Given that;

confidence interval = 99.5% = 0.995 so

margin of error E = 0.08

p = 14% = 0.14

now we obtain the critical value of z t the 99.5 confidence interval

∝ = 1 - confidence interval

∝ = 1 - 0.995

∝ = 0.005

∝/2 = 0.0025

obtaining the area of probability in the right tail

Area of probability to the right is = 1 - 0.0025 = 0.9975

from probability table; critical value of t =2.81

using the formula

n = p( 1 - p ) [ (z_∝/2)/E)² ]

so we substitute  

n = 0.14 ( 1 - 0.14 ) [ 2.81 / 0.08 )²  

n = (0.14 × 0.86 ) × 1233.7656

n = 148.5453 ≈ 149

Therefore , a sample of operations needed is 149

4 0
3 years ago
What is <br> Sin A?<br> Cos A?<br> Tan A?
Katyanochek1 [597]

Answer:

See explanation

Step-by-step explanation:

\sin A =  \frac{12}{20}  =  \frac{3}{5}  \\  \\  \cos A =  \frac{16}{20}  =  \frac{4}{5}   \\  \\ \tan A =  \frac{12}{16}  =  \frac{3}{4}

6 0
2 years ago
Darius flipped a coin 500 times and it landed heads up 300 times. What is the relative frequency of the coin landing heads up ba
OLEGan [10]
60% do you need an explanation
4 0
3 years ago
The rectangular solid has a mass of 3,300 grams.
ZanzabumX [31]

Answer:

0.22 grams per cm^3 is your answer, Hopes this helps

Step-by-step explanation:

50x10x30=15000 Cm^3

3300/15000= 0.22 g/cm^3

3 0
2 years ago
Miya currently makes $7.00 per hour working as a babysitter for her neighbors. She is trying to work extra
Katena32 [7]

Answer:

1st option

Step-by-step explanation:

turn 15% into a decimal:

%15 -> 0.15

multiply $7 by 0.15 then add together:

7 x 0.15 = 1.05

$7 + $1.05 = $8.05

20 hours x $8.05 hour = $161

$161 x 10 weeks = $1610 total by the end of summer

<em>the question does not say how many hours she works normally so the answer might be off...</em>

if she continued with $7, assuming she works 20 hours/week:

20 hours x $7 = $140

$140 x 10 weeks = $1400

$1400 + $200 = $1600 total by the end of summer

8 0
2 years ago
Read 2 more answers
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