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garri49 [273]
2 years ago
14

When seven is subtracted from half of a number, the result is negative three. Find the number

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
5 0

Answer:

8

Step-by-step explanation:

0.5x-7=3

add 7 to both sides

0.5x=4

multiply both sides by 2

x=8

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A scientist claims that 6% of viruses are airborne. (a) If the scientist is accurate, what is the probability that the proportio
soldi70 [24.7K]

Answer:

Probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% is 0.9545.

Step-by-step explanation:

For the given population the distribution of air-borne viruses is given as 6%. Now for this the value of Z score is given as

Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}

Here

  • \hat{p} is the sample measure which is 8% or 0.08
  • p is the population measure which is 6% or 0.06
  • n is the number of samples which is 529

So the Z score is given as

Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}\\Z=\dfrac{0.08-0.06}{\sqrt{\dfrac{0.08(1-0.08)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.08(0.92)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.0736}{529}}}\\Z=\dfrac{0.02}{0.01179}\\Z=1.6955

For this the score, the value of probability is calculated from the table as below:

P(\hat{p}>0.08)=p(Z>1.6955)\\=1-p(Z

Here value of p(Z<-1.6955) is given as 0.0455

P(\hat{p}>0.08)=p(Z>1.6955)\\P(\hat{p}>0.08)=1-p(Z0.08)=1-0.0455\\P(\hat{p}>0.08)=0.9545

 

7 0
3 years ago
View the screenshot and answer please. 20 points will give brainliest!
Paul [167]

Answer:

Right angle triangle goes to 15m, 8m, 17m

Step-by-step explanation:

Square root of 15^2 + 8^2 is 17

(The use of a^2 + b^2 = c^2 - Pythagoras's Theorem)

So, 10m ,11m ,15m isn't a right angle triangle

Hope this helps!

6 0
2 years ago
A frog eats 8 flies in 4 minutes. How many flies per minute does the frog eat
Liono4ka [1.6K]

Answer:

2 per minute

Step-by-step explanation:

Because 8 divided by 4 is 2.

3 0
3 years ago
Need help ASAP!!!!!!!
natima [27]

Answer:

A

Step-by-step explanation:

You can subtract normally when the square roots are the same( like in your problem) but the squares stay they same and the numbers on the outside change.

4 0
3 years ago
Read 2 more answers
2X+2Y=48<br> 3X+Y=40 <br><br> What is X and Y
marshall27 [118]

Answer:

x=8

y=16

Step-by-step explanation:

2x+2y=48

3x+y=40

Ther is many ways to solve this, one of them is clearance:

WE CLEAR AN UNLOCKED (X) AND REPLACE IT IN THE OTHER

x= (40-y)/3

2[(40-y)/3] +2y=48

(80-2y)/3 +2y=48

(80-2y+6y)/3=48

80+4y=48(3)

4y=144

y= 144/4

y=16

x=(40-y)/3

x=(40-16)/3

x=24/3

x=8

4 0
3 years ago
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