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nekit [7.7K]
3 years ago
12

PLEASE HELP. I CAN'T FIGURE THIS OUT

Mathematics
2 answers:
navik [9.2K]3 years ago
7 0
<span>The correct option is: (C) a⊥b, by Perpendicular Transversal Theorem

Explanation:
Perpendicular Transversal Theorem states that in a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other line also.

As the line b is perpendicular to the line c and the line c is parallel to the line a, hence the line a is perpendicular to the line b. Therefore, the correct option is (C) a⊥b, by Perpendicular Transversal Theorem 
</span>
VARVARA [1.3K]3 years ago
5 0

Answer:

Option C is the right choice - a⊥b, by Perpendicular Transversal Theorem

Step-by-step explanation:

The Perpendicular Transversal Theorem states that in a plane state, if any given line is perpendicular to one of two given parallel lines , then it is perpendicular to the other line also.

So, as per the definition, we can see that 'a' and 'c' are parallel lines and line 'c' is perpendicular to 'b' so. 'a' will also be perpendicular to 'b'.

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Furkat [3]

Answer:

As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.

Step-by-step explanation:

Mean of the batch:

The mean of the batch is the sum of all values divided by the number of items. So

M = \frac{199+204+201+197+195+204+200}{7} = 200

Mean in the desired interval.

Standard deviation:

Square root of the sum of the difference squared between each term and the mean, divided by the number of items. So

S = \sqrt{\frac{(199-200)^2+(204-200)^2+(201-200)^2+(197-200)^2+(195-200)^2+(204-200)^2+(200-200)^2}{7}} = 1.18

As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.

7 0
3 years ago
What's the Mean Absolute Deviation of 46,35,39,33,25,26
Fudgin [204]
<span>Mean Absolute Deviation (MAD): 6</span>
8 0
3 years ago
Read 2 more answers
Blake is a member of a golf club. When he became a member, he deposited money into his club account. For each round of golf that
Leno4ka [110]

Answer:

D)  Blake's account initially had $320, which is decreasing at the rate of $20 per round.

Step-by-step explanation:

Here, according to the question:

x: The total number of golf rounds played

y: Represents the amount, in dollars, left in his account after playing x rounds

Let as assume A is the amount deposited initially.

y = A  - n x    here n : rate of each round played

Also, here

if x  = 2, then y = 280

if x  =4, then y = 240

If x  = 2 and y = 280, then:

y = A  - n x ⇒  280 = A  - 2 n   ... (1)

If x  = 4 and y = 240, then:

y = A  - n x ⇒  240 = A  - 4 n   ... (2)

Solving (1) and (2)  by (1) - (2),  we get:

40 = 2 n or, n  = 20

Putting n = 20 in 280 = A  - 2 n, we get: A  = 280 +  2(20) = 320

⇒ A = $320, n = $20

⇒ The amount initially deposited is $320 and the rate per round is  $20

Hence ,Blake's account initially had $320, which is decreasing at the rate of $20 per round.

4 0
3 years ago
a laptop has a listed price of $511.99 before tax. if the sales tax rate is 8.5%, find the total cost of the laptop with sales t
Fantom [35]

Answer:

$555.51

Step-by-step explanation:

511.99 + 8.5%(43.52) = 555.51

4 0
3 years ago
Ninety percent of a town’s population owns cars. If the number of cars owned is 4761, what is the population of the town?
Nuetrik [128]

We can write an equation of this, with p representing the unknown population. We know that 90% of the population owns cars:

90% * p

We also know that 4761 people own cars, which is the same as the above expression, so we write:

90% * p = 4761.

From there, you just divide both sides by 90%, or 0.9

p = 4761/0.9 = 5290

The population is 5290 people.

3 0
3 years ago
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