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2 years ago

If R is the midpoint of QS , find QS (QR = 5x-3 and RS =21-x)

Mathematics

2 answers:

Finger [1]2 years ago

3 0

Answer:

QS is 34

Step-by-step explanation:

We find x first. We set each side equal to each other to do so.

5x-3=21-x

6x=24

x=4

Next we find QS value. We add each side.

5x-3+21-x

4x+18

Then we plug in x to find numeric value.

4(4)+18

Arlecino [84]2 years ago

3 0

Answer:

QS is 34

Step-by-step explanation:

R is the midpoint of QS

So, QR= RS

(QR = 5x-3 and RS =21-x)

QR= RS

Plug in QR and RS

$5x-3=21-x$

Add x on both sides

$6x-3= 21$

Add 3 on both sides

$6x= 24$

Divide by 6 on both sides

$x= 4$

$QS= QR+RS$

$QS=5x-3+21-x$

$QS=4x+18$

Plug in 4 for x

$QS=4(4)+18=34$

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A 90% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from

Elis [28]

Answer:

The correct option is a) True

Step-by-step explanation:

Consider the provided statement.

A 90% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 90% of these intervals would contain the true parameter

First understand what is 90% confidence interval.

The level of confidence describes the uncertainty associated with a method of sampling.

A confidence level of 90 percent means that we would expect the population parameter to be included in 90 percent of the interval estimates.

From the above definition of confidence level we can concluded that the provided statement is true.

Hence, The correct option is a) True

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2 years ago

The measure of an angle is 62.9 What is the measure of a complementary angle?

Llana [10]

By definition, complementary angles are "two angles whose sum is equal to 90 degrees." This can be expressed using the following formula:

(Angle 1) + (Angle 2) = 90

Substitute any known values into the equation:

62.9 + (A2) = 90

Subtract 62.9 from both sides if the equation:

A2 = 27.1

The measure of the complementary angle (A2) is 27.1 degrees.

I hope this helps!

6 0

2 years ago

The Big River Casino is advertising a new digital lottery-style game called Instant Lotto. The player can win the following mone

zysi [14]

Answer:

(a) The expected value of the prize for one play of Instant Lotto is $3.50.

(b) The probability that the visitor wins some prize at least twice in the 20 free plays is 0.2641.

Step-by-step explanation:

(a)

The probability distribution of the monetary prizes that can be won at the game called Instant Lotto is:

X P (X = x)

$10 0.05

$15 0.04

$30 0.03

$50 0.01

$1000 0.001

$0 0.869

___________

Total = 1.000

Compute the expected value of the prize for one play of Instant Lotto as follows:

$E(X)=\sum x\cdot P (X=x)$

$=(10\times 0.05)+(15\times 0.04)+(30\times 0.03) \\+ (50\times 0.01)+(1000\times 0.001)+(0\times 0.869)\\=0.5+0.6+0.9+0.5+1+0\\=3.5$

Thus, the expected value of the prize for one play of Instant Lotto is $3.50.

(b)

Let X = number of times a visitor wins some prize.

A visitor to the casino is given n = 20 free plays of Instant Lotto.

The probability that a visitor wins at any of the 20 free plays is, p = 1/20 = 0.05.

The event of a visitor winning at a random free play is independent of the others.

The random variable X follows Binomial distribution with parameters n = 20 and p = 0.05.

Compute the probability that the visitor wins some prize at least twice in the 20 free plays as follows:

P (X ≥ 2) = 1 - P (X < 2)

= 1 - P (X = 0) - P (X = 1)

$=1-[{20\choose 0}0.05^{0}(1-0.05)^{20-0}]-[{20\choose 1}0.05^{1}(1-0.05)^{20-1}]\\=1-0.3585-0.3774\\=0.2641$

Thus, the probability that the visitor wins some prize at least twice in the 20 free plays is 0.2641.

(c)

Let X = number of people who play Instant Lotto each day.

The random variable X is normally distributed with a mean, μ = 800 people and a standard deviation, μ = 310 people.

Compute the probability that a randomly selected day has at least 1000 people play Instant Lotto as follows:

Apply continuity correction:

P (X ≥ 1000) = P (X > 1000 + 0.50)

= P (X > 1000.50)

$=P(\frac{X-\mu}{\sigma}>\frac{1000.50-800}{310})$

$=P(Z>0.65)\\=1-P(Z$

Thus, the probability that a randomly selected day has at least 1000 people play Instant Lotto is 0.2579.

5 0

2 years ago

Team A faces loses of 5,876 points in Round 1 . How much is the loss of points for each of the 26 players of Team A if the loss

Svetllana [295]

Answer:

226 points were lost per player

Step-by-step explanation:

Since we are evenly spreading the points between all 26 players, we need to solve using division.

Basically, we are dividing the 5876 points among the 26 players.

5876/26 = 226

Therefore, if the points were spread evenly among all 26 players, each player would lose 226 points.

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2 years ago

Kayson mixes 300300300 milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of spinach, 20

Georgia [21]

Answer:

Total, T = (300s+200b+42d) mg

Step-by-step explanation:

Given that,

Kayson mixes 300 mL spinach, 200 mL of berries, and 42 mL of dressing to make a salad.

There are s mg of vitamin C per mL of spinach, b mg per mL of berries, and d mg per mL of dressing.

In 300 mL of spinach vitamin C is = (300 s)mg

In 200 mL of berries vitamin C is = (200 b)mg

In 42 mL of salad vitamin C is = (42 d)mg

It means that, total mg of vitamin C is :

Total, T = (300s+200b+42d) mg

Hence, this is the required solution.

4 0

2 years ago