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andrezito [222]
3 years ago
13

What is 98.704 in expanded using powers of ten

Mathematics
1 answer:
Tomtit [17]3 years ago
7 0

Answer:

9.8704 * 10^1

Step-by-step explanation:

The standard form is called the scientific notation expressed generally as;

A * 10^n

A is an integer between 1 and 10

n is ant integer or fraction

Given the decimal value 98.704, we ill shift the decimal point to the back once to have;

98.704 = 9.8704 * 10^1

<u>Note the when the decimal point is shifted backwards the value of n is always positive</u>. Hence the expansion in power of 10 is 9.8704 * 10^1

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The length of life of an electronic component has an exponential probability density function with mean 1000 hours. Find the pro
avanturin [10]

The probability that a component lasts at least 1500 hours using the exponential probability density function is <u>0.22313016014843</u>.

The formula used to define the exponential distribution is called the exponential distribution formula. The variable needs to be continuous and independent for an exponential distribution. You may find the exponential distribution formula by using:

f(x) = me^{-mx} \text{ or } f(x) = (1/\mu) e^{-(1/\mu)x}

Where m is the rate parameter or the decay parameter, and μ is the mean.

In the question, the mean, μ = 1000 hours, and the variable, x = 1500 hours.

But, we need to find the probability that the component lasts at least 1500 hours, that is, x is greater than or equal to 1500, that is, f(x ≥ 1500), which, using the calculator, is computed to be <u>0.22313016014843</u>.

Thus, the probability that a component lasts at least 1500 hours using the exponential probability density function is <u>0.22313016014843</u>.

Learn more about the exponential probability density function at

brainly.com/question/13339415

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7 0
2 years ago
Would you please help me on this question?
barxatty [35]

Answer:

x = 2

Step-by-step explanation:

Given that the measure of segment BC must equal the addition of the measure of segment BA plus the measure of segment AC, we can write this in equation form:

BC = BA + AC

then we replace them with the measure information they provide:

12 x + 4 = 7 x - 4 + 8 x + 2

and we solve for x in the equation:

12 x + 4 = 15 x - 2

subtract 12 x from both sides:

4 = 15 x - 12 x - 2

4 = 3 x - 2

add 2 on both sides

4 + 2 = 3 x

6 = 3 x

x = 6/3

x = 2

6 0
3 years ago
PLEASE HELP ASAP LOTS OF POINTS AND BRAINIEST!
nikdorinn [45]
Answers: See each part below.

1) The scale factor on Map 1 is 1cm = 2 km. It is given in the key in the bottom right corner.

2) The length of the trail would be 16 km. Since each cm is 2 km, we multiply the 8 by 2 to get a total of 16.

3) The scale factor from the first map to the second map is 0.75. To find this we can write and solve the following equation to determine the change from Map 1 to Map 2. 

8k = 6
k = 0.75

4)  To find the lengths of the sides of the landmark, just change the mm into cm and use the scale factor for each.

5 mm is 0.5 cm. 0.5 x 2 = 1 km
3 mm is 0.3 cm. 0.3 x 2 = 0.6 km
4 mm is 0.4 cm. 0.4 x 2 = 0.8 km
7 0
3 years ago
Please help I’ll give you guys brainiest.
astra-53 [7]

Answer:

12x+21

Step-by-step explanation:i think this might be it im not 100% sure but im trying

8 0
3 years ago
1+Sin/Cos + Cos/1+Sin = 2Sec
Bond [772]

Step-by-step explanation:

Consider the left-hand side:

\dfrac{1+\sin{\theta}}{\cos{\theta}} + \dfrac{\cos{\theta}}{1+\sin{\theta}}

\:\:\:\:= \dfrac{(1+\sin{\theta})^2 + \cos^2{\theta}}{\cos{\theta}(1+\sin{\theta})}

\:\:\:\:=\dfrac{1+2\sin{\theta}+\sin^2{\theta} + \cos^2{\theta}}{\cos{\theta}(1+\sin{\theta})}

\:\:\:\:=\dfrac{2+2\sin{\theta}}{\cos{\theta}(1+\sin{\theta})} =\dfrac{2(1+\sin{\theta})}{\cos{\theta}(1+\sin{\theta})}

\:\:\:\:= \dfrac{2}{\cos{\theta}} = 2\sec{\theta}

7 0
3 years ago
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