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Mars2501 [29]
3 years ago
11

Laura graphs these equations and finds that the lines intersect at a single point, (1.5, -1.5)

Mathematics
2 answers:
DIA [1.3K]3 years ago
8 0

Answer: they are the only values that makes both equations true

Lesechka [4]3 years ago
4 0

Answer:Answer:  they are the only values that makes both equations true

Step-by-step explanation: APE*X

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Suppose 30% of the U.S. population has green eyes. If a random sample of size 1200 U.S. citizens is drawn, then the probability
galina1969 [7]

Answer:

P(X is less than 348) = 0.2148

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.3

Sample size = 1200

Let X be the random variable that obeys a binomial distribution. Then;

X \sim Bin(n = 1200,p =0.3)

The Binomial can be approximated to normal with:

\mu = np = 1200 \times 0.3 \\ \\ \mu= 360

\sigma = \sqrt{np(1-p) } \\ \\  \sigma = \sqrt{1200 \times (0.3)(1-0.3) } \\ \\ \sigma = 15.875

To find:

P(X< 348)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 348 lies between 347.5 and 348.5

Normal distribution:

x = 347.5, \mu = 360, \sigma = 15.875

Using the z test statistics;

z = \dfrac{x - \mu}{\sigma}

z = \dfrac{347.5 - 360}{15.875}

z = \dfrac{-12.50}{15.875}

z = -0.7874

z ≅ - 0.79

The p-value for P(X<347.5) = P(Z < -0.79)

From the z tables;

P(X<347.5) = 0.2148

Thus;

P(X is less than 348) = 0.2148

3 0
3 years ago
Find the discriminant of x^2+6x+13=0. What does this number tell you about how many real solutions there are to the equation? Sh
Lana71 [14]
Discriminant = sq root of b^2 - 4*a*c =
sq root of 36 - 4*1*13 =
sq root 36 -52 =
sq root 36 -52 =
sq root -16
There are no real solutions for this equation.  Both roots are complex numbers.








5 0
3 years ago
Read 2 more answers
What is -884/70 in simplest form?
cestrela7 [59]
-884/70
(-884/2)/(70/2) (divide top & bottom by two)
-442/35
*check - bottom can only be divided by 1, 5, and 7.
*1 won't change anything.
*top obviously cannot be divided by 5.
*check if top can be divided by 7.
     7*60 = 420
     442 - 420 = 22
     22 is not divisible by 7.
     Therefore, 442 is not divisible by 7.
*Therefore, -442/35 is simplest form.
7 0
3 years ago
Using the formula P = 2( a + b ), find a when P = 15 and b = 5. a 2.5 b 5 c 8 d 10
Lyrx [107]

Answer:

the correct answer is a.2.5

Step-by-step explanation:

15=2(a+5) || 15=29+10 || 15-10=2a || 5=2a || 2.5=a

6 0
3 years ago
Read 2 more answers
Sahil got 28 questions right on the math test. Angelina got 7 more wrong answers than Sahil. There where 40 questions on the tes
Mariana [72]
[A+7= 28] is the correct equation I believe, though I may be wrong.
7 0
3 years ago
Read 2 more answers
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