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2 years ago

Which ordered pair is a solution of the system ?

Mathematics

1 answer:

drek231 [11]2 years ago

7 0

Hello!

Since we already see an equation that equals y (-2x-4), we can plug that equation into the first to solve for x.

x+4(-2x-4)=19
x-8x-16=19
-7x=35
x=-5

Now that we know the value of x, we will plug it into the second equation to solve for y.

y=-2(-5)-4
y=10=4
y=6

This gives us the answer below

$\left \{ {{x=-5} \atop {y=6}} \right.$

The correct answer is A) (-5,6)

I hope this helps!

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What is 0.08 as a percent.

kakasveta [241]

8 percent

Mark brainliest please

Hope this helps you

4 0

2 years ago

Read 2 more answers

URGENT PLEASE HELP WILL GIVE BRAINLIEST!!!

vladimir2022 [97]

I assume you are looking for arc RSQ, since you already now the angle RSQ.
Arc RSQ is 312 degrees.

Since you know angle RSQ, the arc that it creates is twice the angle.
24 x 2 = 48

Arc RSQ is the entire circle (360 degrees) except for that 48 degrees.
360 - 48 = 312

3 0

3 years ago

Read 2 more answers

Consider a binomial experiment with 15 trials and probability 0.35 of success on a single trial.

DedPeter [7]

Answer:

$P(X = 10 ) = 0.0096$

$P(X = 10 ) = 0.0085$

Option A is correct

Step-by-step explanation:

From the question we are told that

The sample size is n = 15

The probability of success is $p = 0.35$

The number of success we are considering is r = 10

Now the probability of failure is mathematically evaluated as

$q = 1- p$

substituting value

$q = 1- 0.35$

$q = 0.65$

Now using the binomial distribution to find the probability of exactly 10 successes we have that

$P(X = r ) = [\left n } \atop {r}} \right. ] * p^r * q^{n- r}$

substituting values

$P(X = 10 ) = [\left 15 } \atop {10}} \right. ] * p^{10}* q^{15- 10}$

Where $[\left 15 } \atop {10}} \right. ]$ mean 15 combination 10 which is evaluated with a calculator to obtain

$[\left 15 } \atop {10}} \right. ] = 3003$

$P(X = 10 ) = 3003 * 0.35 ^{10}* 0.65^{15- 10}$

$P(X = 10 ) = 0.0096$

Now using the normal distribution to approximate the probability of exactly 10 successes, we have that

$P(X = r ) = P( r < X < r )$

Applying continuity correction

$P(X = r ) = P( r -0.5 < X < r +0.5)$

substituting values

$P(X = 10) = P( 10-0.5 < X < 10+0.5)$

$P(X = 10 ) = P( 9.5 < X < 10.5)$

Standardizing

$P(X = r ) = P( \frac{9.5 - \mu }{\sigma } < \frac{X - \mu }{\sigma } < \frac{10.5 - \mu}{\sigma } )$

The where $\mu$ is the mean which is mathematically represented as

$\mu = n * p$

substituting values

$\mu = 15 * 0.35$

$\mu = 5.25$

The standard deviation is evaluated as

$\sigma = \sqrt{n * p * q }$

substituting values

$\sigma = \sqrt{15 * 0.35 * 0.65 }$

$\sigma = 1.8473$

Thus

$P(X = 10 ) = P( \frac{9.5 - 5.25 }{1.8473 } < \frac{X - 5.25 }{1.8473 } < \frac{10.5 - 5.25}{1.8473 } )$

$P(X = 10 ) = P( 2.30 < Z < 2.842 )$

$P(X = 10 ) = P(Z < 2.842 ) - P(Z < 2.30 )$

From the normal distribution table we obtain the $P(Z < 2.841)$ as

$P(Z < 2.841) = 0.99775$

And the $P(Z < 2.30)$

$P(Z < 2.30) = 0.98928$

There value can also be obtained from a probability of z calculator at (Calculator dot net website)

$P(X = 10) = 0.99775 - 0.98928$

$P(X = 10 ) = 0.0085$

Looking at the calculated values for question a and b we see that the values are fairly different.

8 0

3 years ago

"In one statistics course, students reported studying an average of 9.92 hours a week, with a standard deviation of 4.54. Treati

Rudik [331]

Answer:

66.28% of students study more than 8 hours

Step-by-step explanation:

The percent of students study more than 8 hour can be calculated as

P(X>8)=?

P(X>8)=P((X-mean)/sd>(8-9.92)/4.54)

The calculated z-score is -0.42.

P(X>8)=P(Z>-0.42)

P(X>8)=P(0<Z<-0.42)+P(0<Z<∞)

P(X>8)=0.1628+0.5=0.6628.

Thus, 66.28% of students study more than 8 hours.

3 0

2 years ago

0.025 divided by 0.5

solong [7]

0.025 ÷ 0.5 = 0.05
lol very quick answer but yea
answer: 0.05

8 0

2 years ago