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Ainat [17]
4 years ago
10

(02.06 MC)

Mathematics
1 answer:
Paul [167]4 years ago
5 0
<span>The inequality |2x − 6| less than or equal to 10 can be expressed as two form like this to get two value of x
2x-6 </span>≤<span> 10
2x</span>≤10+6
x≤8<span>

-(</span>2x-6) ≤ 10<span>
2x-6 </span>≥<span> -10
2x</span>≥-10+6
x≥-4
<span>
The graph of the inequality would be: </span> 
x≤8 and x≥-4   
or   
-4≤x≤8 
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An accelerated life test on a large number of type-D alkaline batteries revealed that the mean life for a particular use before
joja [24]

Answer:

option (d) 16.6 and 21.4

Step-by-step explanation:

Data provided in the question:

The mean life for a particular use before they failed = 19.0 hours

The distribution of the lives approximated a normal distribution

The standard deviation of the distribution = 1.2 hours

To find:

The values between which 95.44 percent of the batteries failed

Now,

In Normal distribution, the approximately 95% ( ≈ 95.44% of all values ) falls within 2 standard deviations of the mean

Therefore,

Upper limit = Mean + 2 × standard deviation

⇒ Upper limit = 19.0 + 2 × 1.2 = 21.4

Lower  limit = Mean - 2 × standard deviation

⇒ Lower  limit = 19 - 2 × 1.2 = 16.6

Hence,

the answer is option (d) 16.6 and 21.4

8 0
3 years ago
Look at the image please help I’m struggling I have 5 more minutes to this test
Temka [501]
Wouldn’t it be $1.50 since half of 3 is 1.5
5 0
3 years ago
Suppose g (x) is increasing and concave up everywhere and g(A)=7, gprime(A)=13, h=.01
rewona [7]
First we need a point (x,y) : (A, 7) 
<span>Now slope (from f'(A)) = 15 </span>
<span>Next, the equation (using point slope formula) </span>

<span>y - 7 = 15 (x -A) </span>
<span>y = 15 (x - A) + 7 </span>

<span>Now in the x spot we put 'A-.01' </span>
<span>y = 15 ( A - .01 - A) +7= 15(-.01) +7 = -.15+ 7 = 6.85 
hope this helps</span>
8 0
3 years ago
A simple impact crater on the moon has a diameter of 15 kilometers. a complex impact crater has a radius of 30 kilometers. how m
timurjin [86]
The general equation for computing the circumference of a circle is C=\pi d, where C is the circumference, and d is the diameter. (You might also see the equation as C=2 \pi r where r is the radius, because d=2r)

Computing the circumferences of the two circles, we get:
C_{d=15}=\pi (15)=15\pi
C_{d=30}=\pi (30)=30\pi.

To calculate the ratio of two numbers, we can divide one by the other. You can look at this as "How many times does the denominator fit in the numerator?"
\frac{C_{d=30}}{C_{d=15}}=\frac{30\pi}{15\pi}=2
So the circumference of the complex impact crater is 2 times greater than the circumference of the simple impact crater.
7 0
3 years ago
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jasenka [17]

Answer:

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Step-by-step explanation:

4 0
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