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Gennadij [26K]
3 years ago
6

Two angles of a triangle measure 12 degrees and 40 degrees. What is the measurement of the third angle of the triangle

Mathematics
2 answers:
maw [93]3 years ago
4 0

Answer: 128 degrees

Step-by-step explanation:

padilas [110]3 years ago
3 0

Answer:

128

Step-by-step explanation:

A triangle's angles must add up to 180 degrees, so 180 = 40 + 12 + x which is the same as 180 - 40 - 12 = x

x = 128

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How to u estimate this<br> 5624 divided by 72
Phoenix [80]
If the number after the decimal is greater than and equal to 5 round up if not round down
3 0
3 years ago
A newspaper found that, on average, 7.6% of people stay overnight in the hospital with a 1.5% margin of error. Construct a 95% c
Verizon [17]

Given:

p = 7.6% = 0.076, the percentage of people who stay overnight at the hospital.

E = 1.5% = 0.015, margin of error

95% confidence interval.

The standard error is

Es = \sqrt{ \frac{p(1-p)}{n} }

where

n = the sample size.


The margin of error is

E=z^{*}E_{s}

where

z* = 1.96 at the 95% confidence level.

Because the margin of error is given, there is no need to calculate it.

The 95% confidence interval is

p +/- E = 0.076 +/- 0.015 = (0.061, 0.091) = (6.1%, 9.1%)


Answer: 

The 95% confidence interval is between 6.1% and 9.1%.






3 0
3 years ago
The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest pen
aliina [53]

Answer:

537.6

Step-by-step explanation:

0.93*x=500

x=500/0.93

x=537.6

8 0
3 years ago
If 60 square feet of flooring costs $287.00 how much does one square foot cost?
Lapatulllka [165]

Answer: About 5 bucks

Step-by-step explanation: Divide 287 by 60 which would equal 4.78333333333

5 0
3 years ago
Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card an
ziro4ka [17]

Answer:

1) is not possible

2) P(A∪B) = 0.7

3) 1- P(A∪B) =0.3

4) a) C=A∩B' and P(C)= 0.3

b)  P(D)= 0.4

Step-by-step explanation:

1) since the intersection of 2 events cannot be bigger than the smaller event then is not possible that P(A∩B)=0.5 since P(B)=0.4  . Thus the maximum possible value of P(A∩B) is 0.4

2) denoting A= getting Visa card , B= getting MasterCard the probability of getting one of the types of cards is given by

P(A∪B)= P(A)+P(B) - P(A∩B) = 0.6+0.4-0.3 = 0.7

P(A∪B) = 0.7

3) the probability that a student has neither type of card is 1- P(A∪B) = 1-0.7 = 0.3

4) the event C that the selected student has a visa card but not a MasterCard is given by  C=A∩B'  , where B' is the complement of B. Then

P(C)= P(A∩B') = P(A) - P(A∩B) = 0.6 - 0.3 = 0.3

the probability for the event D=a student has exactly one of the cards is

P(D)= P(A∩B') + P(A'∩B) = P(A∪B) - P(A∩B) = 0.7 - 0.3 = 0.4

3 0
3 years ago
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