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alukav5142 [94]
3 years ago
13

A mirror should be centered on a wall. The mirror is 4 feet wide and the wall is 20 feet wide. Which equation helps determine th

e distance x on each side of the mirror?
x + 4 + x = 20


4 + x + 4 = 20


x = 20 + 4 + 4


4 = 20 + x + x
Mathematics
1 answer:
Alinara [238K]3 years ago
7 0
A.) x+4+x=20 should be the answer
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Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op
Mashcka [7]

Answer:

a) P(X<50)=0.9827

b) P(X>47)=0.4321

c) P(-1.5<z<1.5)=0.8664

Step-by-step explanation:

We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.

a) This means we have to calculate P(x<50).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

z=\dfrac{X-\mu}{\sigma}=\dfrac{50-46.7}{1.75}=\dfrac{3.7}{1.75}=2.114\\\\\\P(X

b) We have to calculatee P(x>47).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

z=\dfrac{X-\mu}{\sigma}=\dfrac{47-46.7}{1.75}=\dfrac{0.3}{1.75}=0.171\\\\\\P(X>47)=P(z>0.171)=0.4321

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

z=\dfrac{(\mu+1.5\sigma)-\mu}{\sigma}=\dfrac{1.5\sigma}{\sigma}=1.5

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

P(-1.5

3 0
3 years ago
What is the 52nd term of the sequence below?
VladimirAG [237]
Because the difference between any term and the previous term is a constant, this is an arithmetic sequence because of that constant which is referred to as the common difference, d.  Which in this case is -35--38=-32--35=3

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.

In this case a=-38 and d=3 so

a(n)=-38+3(n-1)  which we can simplify to

a(n)=-38+3n-3

a(n)=3n-41, so the 52nd term is:

a(52)=3(52)-41

a(52)=156-41

a(52)=115
3 0
3 years ago
Jen picked 3/4 of a gallon of strawberries in half an hour.If she keeps picking strawberries at the same time, how many gallons
MrRa [10]

Answer:

Number of gallons of strawberries will she have picked in 2 hours is, 3

Step-by-step explanation:

Unit rate defined as the rate are expressed as a quantity of 1, such as 4 feet per second or 6 miles per hour, they are called unit rates.

Given the statement: Jen picked 3/4 of a gallon of strawberries in half an hour.

⇒ In \frac{1}{2} hour Jen picked  \frac{3}{4} gallon of strawberries.

Unit rate per hour = \frac{\frac{3}{4} }{\frac{1}{2}} =\frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = \frac{3}{2}

To find the number of gallons will she have picked in 2 hours.

Number of gallons = unit rate per hours \times 2

                                      =\frac{3}{2} \times 2 = 3

Therefore, the number of gallons will she have picked in 2 hours is, 3

6 0
3 years ago
The cost of 1 dozen pencil is Rs.96.what is the cost of 2 pencils​
natali 33 [55]

Answer:

Rs.16

Step-by-step explanation:

Divide the cost of Rs.96 by 12 then multiply by 2

cost of 1 pencil = Rs.96 ÷ 12 = Rs.8

cost of 2 pencils = 2 × Rs.8 = Rs.16

3 0
3 years ago
Read 2 more answers
Find the missing part.
alexgriva [62]

X^2= AB^2 + BC^2

X^2= 8^2 + 10^2

X^2= 64+100

X^2= 164

X= 12.80

5 0
3 years ago
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