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goldfiish [28.3K]
2 years ago
13

Find the value of variable x. If your answer is not an integer, write it in simplest radical form with the denominator rationali

zed
x=
(Simplify your answer. Type an integer or a simplified fraction.)

Mathematics
1 answer:
laila [671]2 years ago
6 0

Answer:

Step-by-step explanation:

It is a 30°-60°-90° triangle.

The lengths of the sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.

The side opposite the 90° angle has length 4, so the side opposite the 30° angle is 2.

x = 2

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The mean monthly car payment for 123 residents of the local apartment complex is $624. What is the best point estimate for the m
Natali [406]

Answer:

The best point estimate for the mean monthly car payment for all residents of the local apartment complex is $624.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this question:

We apply the inverse Central Limit Theorem.

The mean monthy car payment for 123 residents of the local apartment complex is $624.

So, for all residents of the local apartment complex, the best point estimate for the mean monthly car payment is $624.

3 0
3 years ago
Find the circumference and area of a circle with radius 3 yd. use the value 3.14 for pie
just olya [345]

Answer: circumference = 2Πr²

Where r= 3

Π=3.14

Therefore Circumference = 2×3.14× 3²

= 2×28.26

Circumference=56.52

Formula:

Subtitute in 3 for r.

Solve and the answer is 28.26

4 0
3 years ago
Read 2 more answers
A living room will be painted with white trim. The ratio of the blue surface area between the walls is 1:10. Of 2 gallons of blu
bija089 [108]

Answer:

20 gallons

Step-by-step explanation:

The living room is made up of white trim and blue surface area between the walls. Since the ratio of the blue surface area between the walls to the white trim is given by 1 : 10.

Also 2 gallons of blue paints are used for the walls, let x represent the number of white paint used in gallons. Hence:

number of white paint in gallons = [1 / (1 + 10)] * total number of paints = 1 / 11 * total number of paints

2 = 1/11  * total number of paints used

total number of paints  = 22 gallons

number of white paint (x) = [10 / (1 + 10)] * total number of paints = 1 / 11 * total number of paints

x = 10/11 * 22

x = 20 gallons

Therefore 20 gallons of white paint was used

7 0
2 years ago
Find the probability of drawing a 8 of Diamonds from a 52-card deck given the deck is properly shuffled.
Naddik [55]

Answer:

1/52

Step-by-step explanation:

There is only one 8 of diamonds in a deck of 52 cards.  The deck is properly shuffled, so every card has an equal probability of being selected.  So the probability is 1/52.

7 0
3 years ago
John is at a local bait shop; he wants to buy bait for his fishing trip. At the store, they are selling live bait for $12 a poun
brilliants [131]

Answer:

Step-by-step explanation:

x= live bait and y= natural bait

12x+7y=63

x>3

x can be anywhere between 3 and 5.

when x=3, y=3

when x=4, y=2

when x=5, y=0

3 0
2 years ago
Read 2 more answers
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