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Nana76 [90]
3 years ago
6

Consider the quadratic expression given below.

Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0
Factor out 4
4(x^2 + 2x - 15)

to factor the equation inside the parenthesis, find two numbers that multiply to -15 and add to 2
those numbers are: 5 and -3

the answer is: 4(x+5)(x-3)
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Find the value of x. Round your answer to the nearest tenth.
andreyandreev [35.5K]

Answer:

38

is the correct answer

7 0
3 years ago
Read 2 more answers
Find the circumference of a circle whose<br>area is 49pi sq units.​
sergij07 [2.7K]
Circumference of a Circle,C=2πr

π=3.14
r= of the circle

Area of the circle= πr²

We know that
Area= 49 π²

πr²=49

r²=49/π
=49/3.14
=15.60
r= √15.60
=3.9 units

Circumference of a Circle,C=2πr
=2*3.14*3.9
=24.492 units
3 0
3 years ago
Suppose the mean GPA of all students graduating from a particular university in 1975 was 2.40. The registrar plans to look at re
ycow [4]

Answer:

Correct option:

(B) <em>H₀</em>: <em>μ</em> = 2.40 vs. <em>Hₐ</em>: <em>μ</em> ≠ 2.40.

Step-by-step explanation:

The registrar of particular university in 1975 plans to look at records of students graduating last year to see if the mean GPA has changed from 2.40.

The registrar can use a single mean test to determine whether the mean has changed or not.

The hypothesis can be described as:

<em>H₀</em>: The mean GPA is 2.40, i.e. <em>μ</em> = 2.40.

<em>Hₐ</em>: The mean GPA is different from 2.40, i.e. <em>μ</em> ≠ 2.40.

To perform the test the registrar can either use a <em>z</em>-distribution or a <em>t</em>-distribution.

If the data provided gives some insight about the population standard deviation and the sample selected is quite large then the <em>z</em>-distribution can be used.

Otherwise it is wiser to use a <em>t</em>-distribution.

The decision rule is:

If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Thus, the correct option is (B).

6 0
3 years ago
Find the values of x and y
arsen [322]

Answer:

x=18√6 , y=36√2

Step-by-step explanation:

{z}^{2}  = 18 {}^{2}  + 18 {}^{2}  - 2(18)(18) \cos(90 )  \\ z = 18 \sqrt{2 }  \\  \frac{x}{ \sin(60) }  =  \frac{z}{ \sin(30) }  \\ x = 18 \sqrt{6}  \\  \frac{y}{ \sin(90) }  =  \frac{z}{ \sin(30) }  \\ y = 36 \sqrt{2}

7 0
3 years ago
Can a 180 degrees angle be a obtuse triangle? ​
Aleksandr [31]

Answer:

Yes and no, I'll explain below

Step-by-step explanation:

An obtuse triangle can have either a 90 degree angle or an 180 degree angle. This reason being said, an obtuse triangle has ONLY one angle that is greater than 90 degrees. But the sum of any given triangle is 180. Hope this helps!

4 0
2 years ago
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