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Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

4 0

Answer:

x is greater than or equal to 31.

Step-by-step explanation:

Let's pretend the greater than symbol is greater than or equal to lol

-5x+5>160-10x

5x+5>160

5x>155

x>31

I can go more in depth if you'd like!

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A 95% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. A prelimina

serious [3.7K]

Answer:

Sample size should be atleast 617

Step-by-step explanation:

given that a 95% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit.

i.e. margin of error <0.3

Std devition sample = 3.8

For 95% assuming sample size large we can use z critical value

Z critical = 1.96

we have

$1.96 * std error 616.3634$

Sample size should be atleast 617 to get an accurate margin of error 0.3

7 0

3 years ago

What is the distance between the points (-4,0) and (-7, -14) ?

vlada-n [284]

Answer:

Step-by-step explanation:

(-4,0) ; (-7, -14)

$d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(-7-[-4])^{2}+(-14-0)^{2}}\\\\ =\sqrt{(-7+4)^{2}+(-14)^{2}}\\\\=\sqrt{(-3)^{2}+(-14)^{2}}\\\\=\sqrt{9+196} \\\\=\sqrt{205} \\\\=14.3178$

7 0

3 years ago

How do you figure out the answer?

svp [43]

we can divide the composite shape into on quadrilateral and triangle as shown in the diagram. since the line that joins the two shape is parallel to the base AB, the angle DEC is 85°.The angle CEA is 180°- angle DEC = 180-85=95. Angle BCE is sum of angle CEA, ABC and EAB subtracted from360°= 360°-(95+95+85)=85°. Angle DCE is 120°- ECB=35°. So, angle CDE = 180°-(35°+85°)= 60°. For reference see the diagram.