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Mashcka [7]
3 years ago
11

Factorise fully 6x²-15x

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
4 0

Answer:

<h2>3x(2x-5) </h2>

hope this helps

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Find the minimum sample size necessary to be 99% confident that the population mean is within 3 units of the sample mean given t
olga55 [171]

Answer:

623

Step-by-step explanation:

Given that margin of error (E) = 3 unit, standard deviation (σ) = 29, sample size (n) = ?

a) The confidence (C) = 99% = 0.99

α = 1 - C = 1 - 0.99 = 0.01

α/2 = 0.01 / 2 = 0.005

From the normal distribution table, The z score of α/2 (0.005) is the critical value and it corresponds to the z score 0.495 (0.5 - 0.005) which is 2.58.

critical\ value = z_{\frac{\alpha}{2} }=z_{0.005}=2.58\\

b) The margin of error (E) is given as:

<h3>E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }\\\\\sqrt{n}= z_{\frac{\alpha}{2} }*\frac{\sigma}{E }\\ \\n=( z_{\frac{\alpha}{2} }*\frac{\sigma}{E })^2\\\\Substituting:\\\\n=(2.58*\frac{29}{3} )^2=622.0036\\\\\\n=623(to\ the \ next\ whole\ number)</h3>

The minimum sample size (n) is 623

3 0
4 years ago
Solve 3|x + 1| –2 &lt; 4.
Anna71 [15]

Hope this helps.

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

−3<x<1

Interval Notation: (−3,1)

Step-by-step explanation:

7 0
2 years ago
PLEASE HELP THIS IS URGENT
ipn [44]

Answer: 414

Step-by-step explanation: 414 is a palindrome that is divisible by 18 because it’s an even number and that it’s one less than 415 which is a multiple of 5.

3 0
3 years ago
Read 2 more answers
AngleDFG and angleJKL are complementary angles. M angleDFG =x+5, and m angleJKL=x-9. Find the measure of each angle
kicyunya [14]
Measures\ of\ complementary\ angles\ make\ sum\ equal\ to\ 90^{\circ}.\\\\&#10;\angle DFG+\angle JKL=90^{\circ}\\\\&#10;x+5+x-9=90\\\\&#10;2x=90-5+9\\\\&#10;2x=94\ \ \ |:2\\\\x=47^{\circ}\\\\&#10;\angle DFG=x+5=47+5=52^{\circ}\\ \angle JKL=x-9=47-9=38^{\circ}
4 0
4 years ago
2nd attempt at this question please answer right. 2 images below:
zhenek [66]

Answer:

idk what yah do right there brah what grade u in

Step-by-step explanation:

3 0
3 years ago
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