Answer:
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can you write the question out in the comment section of my answer? i think you forgot to put the question...
The value of x and y is y= 3/4 and x= -1/2
<h3>What is equation?</h3>
An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given equations:
2x+8y=5........(1)
24x-4y=-15...........(2)
Multiply equation (1) by 12, we get
24x + 96y = 60.....(3)
From (2) and (3), we get
-4y-96y= -15-60
-100 y= -75
y= -75/-100
y= 3/4
and 2x+8y=5
2x + 8 (3/4) =5
2x + 6 = 5
2x= -1
x= -1/2
Learn more about his concept here:
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Answer:
Simple interest only pays interest on the original amount. So, if you want your amount to grow by 50% over 4 years, you will need it to grow by 1/4 of that each year. Just divide 50% by 4 to get 12.5%.
Step-by-step explanation:
Answer:
<u>The company should promote a lifetime of </u><u>3589 hours</u><u> for these bulbs, so that only 2% of them burnout before the claimed lifetime.</u>
Step-by-step explanation:
Consider the lifetime of light bulbs is normally distributed. Then, μ = 4000 hours and σ = 200 hours.
Let X be the lifetime of bulbs. We need to find the lifetime before which only 2% (0.02) of the bulbs burn out. Suppose the value of this lifetime is y. then, we need to find out P(X<y) = 0.02.
We will use the z-score formula:
<u>z = (x-μ)/σ</u>
P(X<y) = 0.02
P((X-μ)/σ < (y-μ)/σ) = 0.02
P(z < (y-4000)/200) = 0.02
We can find the value of z at which the probability is 0.02 from the normal distribution (areas under the normal curve) table.
From the table we can see that 0.02 lies between z values -2.05 and -2.06. So,
z = [-2.05 + (-2.06)]/2
= -4.11/2
z = -2.055
So,
(y-4000)/200 = -2.055
y-4000 = -411
y = 4000 - 411
y = 3589 hours
<u></u>
<u>The company should promote a lifetime of </u><u>3589 hours</u><u> for these bulbs, so that only 2% of them burnout before the claimed lifetime.</u>
Answer:
47 days
Step-by-step explanation:
if the lake doubles its size every day, then
if the whole lake was covered in 48 days,
half the lake was covered the day before,
so, the answer is 47 days
