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alexandr1967 [171]
3 years ago
5

One angle of an isosceles triangle measures 94 degrees. Which other angles could be in that isosceles triangle?Choose all that a

pply.

Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0

Answer:

43

Step-by-step explanation:

Other two angles are equal and let it be 'x'

x + x + 94 = 180

   2x + 94 = 180

           2x = 180 - 94

           2x = 86

             x = 86/2

            x = 43

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A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportio
Reptile [31]

Answer:

The probability is P(|p-\^{p}| >  0.03)  =   0.0040

Step-by-step explanation:

From the question we are told that

   The population proportion is p =  0.07

   The mean of the sampling distribution is   \mu_p =  0.07

   The sample size is n = 600

Generally the standard deviation is mathematically represented as

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

=>    \sigma_p  =  \sqrt{\frac{0.07(1 -0.07)}{600} }    

=>    \sigma_p  =  0.010416    

Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

      P(|p-\^{p}| >  0.03) =  1 - P(|p -\^{p}| \le 0.03)

=>   P(|p-\^{p}| >  0.03)  =  1 -  P(-0.03 \le p -\^{p} \le 0.03 )

Now  add p  to  both side of the inequality

=>   P(|p-\^{p}| >  0.03)  =  1 -  P( 0.07-0.03  \le \^{p} \le 0.03+ 0.07 )

=>   P(|p-\^{p}| >  0.03)  =  1 -  P(0.04 \le \^{p} \le 0.10 )

Now  converting the probabilities to their respective standardized score

=> P(|p-\^{p}| >  0.03)  =  1 -  P(\frac{0.04 - 0.07}{0.010416}  \le Z \le \frac{0.10 -0.07}{0.010416}  )

=> P(|p-\^{p}| >  0.03)  =  1 -  P(-2.88  \le Z \le 2.88 )

=>   P(|p-\^{p}| >  0.03)  =   1 - [P(Z \le 2.88) - P(Z \le -2.88)]

From the z-table  

       P(Z \le 2.88)  =  0.9980

and

       P(Z \le -2.88)  = 0.0020

So

     P(|p-\^{p}| >  0.03)  =   1 - [0.9980 - 0.0020]

=>   P(|p-\^{p}| >  0.03)  =   0.0040

     

7 0
3 years ago
∠3 and ∠6 are alternate interior angles. If m∠3 = 75, what is the measure of ∠6
sp2606 [1]

Answer:

<h3>B. m<3 = m<6 = 75degrees</h3>

Step-by-step explanation:

First you must understand that in geometry, the alternate interior angles are equal

Hence if ∠3 and ∠6 are alternate interior angles, then <3 = <6

Given that m<3 = 75 degrees

m<6 will also be 75 degrees since both angles are equal

7 0
3 years ago
The dimensions of a triangular lot are 142 feet by 67 feet by 141 feet. if the price of such land is​ $3 per square​ foot, how m
victus00 [196]
First we have to find the area. We multiply all the sides and divide it by 2 since triangles are half of squares. Then we get 670,737. Then we multiply that by 3 which then we get  $2,012,211. I hope this helps!
3 0
4 years ago
Ten times the sum of half a number and 6 is 8
Kisachek [45]
10* (n/2+6) =8 
Solve for n to get your answer
7 0
3 years ago
If 1/2 gallon of paint covers 1/8 of a wall, then how many quarts of paint are needed for the entire wall?
romanna [79]

Answer:

4 gallons

Step-by-step explanation:

The total required quarts of paint is: 8 x 1/2 = 4

6 0
4 years ago
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