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3 years ago

What is the solution to this system of equations?

Mathematics

1 answer:

Nutka1998 [239]3 years ago

5 0

Answer:

Step-by-step explanation:

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What is 108.2x 10 to the 3rd power

xenn [34]

I think it’s 108200....

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3 years ago

What are the roots of the quadratic equation X² + 4X + 4. How many roots are there.

kogti [31]

If we set the equation equal to 0, we can factor it to find its roots:

x² + 4x + 4 = 0
(x + 2)(x + 2) = 0
x = -2

This graph has one root, a double root, at -2. This means that a single point, which must be the vertex of the parabola, touches the x-axis at (-2, 0)

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3 years ago

A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Houston. The stud

iris [78.8K]

Answer:

$-0.048$

Do not reject $H_0:P_1-P_2=0$

Step-by-step explanation:

From the question we are told that

Sample size $n_1=350$

Sample size $n_2=250$

Sample proportion 1 $\hat P= \frac{25}{350} =>0.07$

Sample proportion 2 $\hat P= \frac{19}{250} =>0.076$

95% confidence interval

Generally for 95% confidence level

Level of significance

$\alpha = 1-0.95=>0.05$

$\alpha /2=\frac{0.05}{2} =>0.025$

Therefore

$Z_a_/_2=1.96$

Generally the equation for confidence interval between $P_1 - P_2$ is mathematically given as

$(\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2} }$

$(0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250} }$

$(0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4 }$

$(-0.006)\pm 0.042$

$(-0.006)- 0.042=>-0.048$

$(-0.006)+ 0.042=>0.036$

Therefore

Confidence interval is

$-0.048$

Conclusion

Given the confidence interval has zero

Therefore do not reject $H_0:P_1-P_2=0$

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3 years ago

How many inches would a point on the outer edge of the large gear travel in a 150º rotation? (The gear has a radius of 4 inches)

MaRussiya [10]

Your answer would be 600. all u have to do is multiply the degree rotation to the radius.
hope this has helped.

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3 years ago

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458 students went on a school field trip. Ten buses were filled, and 8 students traveled in cars. How many students were on each

RoseWind [281]

8 students traveled in cars, which means that 450 students traveled by bus.
Since there were 10 buses, just divide the number of students by the number of buses.
450 / 10 = 45
There were B. 45 students on each bus.

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3 years ago

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