Answer:
A. 56-6m<20
B. 2.95b+28<450
13. Less than, greater than, going over or not going over.
Step-by-step explanation:
A. The answer to the first question can be simple. If she can scan 6 photographs per minute, then we would write the inequality 56-6m<20, since we are subtracting 6 from 56 every minute, we would write 6 per minute as 6m, and subtract that from 56. Lastly, since it says <u>less than</u>, we need to put the less than symbol, the mouth facing towards the 20 as the greater number.
B. If she has spent 28, that means that we put -28 on the equation as a constant. Then, we put the price times the number of batteries she bought, or 2.95b, and put a less than symbol, since we want to spend less than the 450 gift card. So the equation would be 2.95b+28<450
13. Key words to indicate inequalities can be less than, greater than, without going over, going over.
Hope this helps! :D
The lateral area of a cylinder is given by:
Area=πrl+2πr^2
radius,r=12 mm
length,l=5*12=60mm
therefore the lateral area will be:
Area=π*12*60
Area=2,261.95 mm^2
The area of the bases will be:
A=2*π*12^2=904.78 mm^s
The lateral area will be:
2,261.95+904.78
=3,166.73
=3167 mm^2
Answer:
a) NORM.S.INV(0.975)
Step-by-step explanation:
1) Some definitions
The standard normal distribution is a particular case of the normal distribution. The parameters for this distribution are: the mean is zero and the standard deviation of one. The random variable for this distribution is called Z score or Z value.
NORM.S.INV Excel function "is used to find out or to calculate the inverse normal cumulative distribution for a given probability value"
The function returns the inverse of the standard normal cumulative distribution(a z value). Since uses the normal standard distribution by default the mean is zero and the standard deviation is one.
2) Solution for the problem
Based on this definition and analyzing the question :"Which of the following functions computes a value such that 2.5% of the area under the standard normal distribution lies in the upper tail defined by this value?".
We are looking for a Z value that accumulates 0.975 or 0.975% of the area on the left and by properties since the total area below the curve of any probability distribution is 1, then the area to the right of this value would be 0.025 or 2.5%.
So for this case the correct function to use is: NORM.S.INV(0.975)
And the result after use this function is 1.96. And we can check the answer if we look the picture attached.
240 = 2 × 120
120 = 2 × 60
60 = 2 × 30
30 = 2 × 15
15 = 3 × 5
The 2, 2, 2, 2, 3 and 5 are all the prime factors of 240. So, 2^4 × 3 × 5
1500 = 3 × 500
500 = 5 × 100
100 = 5 × 20
20= 5 × 4
4 = 2 × 2
The 3, 5, 5, 5, 2 and 2 are all the prime factors of 1500. So, 2² + 3 + 5³
Answer:
Equation of the parabola: or
Vertex form:
Intercept form:Step-by-step explanation: