--------------------------------------------------------------
Find x :
--------------------------------------------------------------
Sum of adjacent angles on a straight line is 180.
∠ABY + ∠YBC = 180
x + 25 + 2x + 50 = 180
3x + 75 = 180
3x = 105
x = 35
--------------------------------------------------------------
Check if AC is parallel to DF :
--------------------------------------------------------------
If AC is parallel to DF,
∠YBC = ∠BEF (Corresponding angles)
∠YBC = 2x + 50 = 2(35) + 50 = 120
∠BEF = 5x - 55 = 5(35) - 55 = 120
Since ∠YBC = ∠BEF, AC and DF are parallel.
---------------------------------------------------------------------------------------------
Answer: Since ∠YBC = ∠BEF, AC and DF are parallel.
---------------------------------------------------------------------------------------------
In graphing or? To answer this you’re going to need to be more specific
Answer: 3x^4+7x^3+7x^2+11x+4
Step-by-step explanation:
(x^2+3x+4)(3x^2-2x+1)
3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4
Collect like terms
3x^4-2x^3+9x^3+x^2-6x^2+12x^2+3x+8x+4
3x^4+7x^3+7x^2+11x+4
Answer:
The <em>p</em>-value is 0.0802.
Step-by-step explanation:
The hypothesis for a test is defined as:
<em>H₀</em>: <em>μ</em> = 800 vs. <em>Hₐ</em>: <em>μ</em> ≠ 800
A two tailed test for the population mean can be performed using a <em>z</em>-test or a <em>t</em>-test.
A <em>z</em>-test is used if the data provided has information related to the population standard deviation and the sample size is large, i.e. <em>n </em><u>></u> 30.
And if the population standard deviation is not known and the sample size is small, then the <em>t</em>-test will be used.
Since there is no information about either the population standard deviation or the sample size, assume that <em>z</em>-test is used.
The test statistic value is:
<em>z</em> = 1.75
Compute the <em>p</em>-value of the test as follows:
*Use a <em>z</em>-table for the probability.
Thus, the <em>p</em>-value is 0.0802.
The answer is 1.6
Pls thank me if the answer is correct
