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Arte-miy333 [17]
4 years ago
7

QUESTION 5 Simplify the following expression. -3/4 divided by 9/10

Mathematics
1 answer:
Nitella [24]4 years ago
5 0

Answer: (-3/4) times (9/10)

Step-by-step explanation:

-0.75 times 0.9 (in decimal form)= -0.675

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What is the expanded form of 132.6
sveta [45]

Answer:

Step-by-step explanation:

100 +30+2+.60 or .6

5 0
4 years ago
The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.
Wittaler [7]

<span>First we calculate z using the formula:

z = (x - μ)/σ</span>

Where:

x = our variable, 10

μ = mean, 8

σ = standard dev, 2

Substituting known values:<span>
z = (10 - 8)/2
z = 2/2
z = 1

Using the tables of the normal distribution to find the p-value with z = 1

p = 0.8413

Since we want "greater than 10”, we need to subtract the probability from 1 therefore

p* = 1 - 0.8413 = <span>0.1587</span></span>

6 0
3 years ago
A 12-cm-long thin rod has the nonuniform charge density λ(x)=(2.0 nC/cm)e−|x|/(6.0 cm), where x is measured from the center of t
Inessa [10]

Answer:

the total charge is

Q=24(1-\exp(-1))nC\approx15.171nC

Step-by-step explanation:

Since x is measured from the center, that means that x=0 is the center so the edges of the rod correspond to x=-6 and x=6. that meas that the total charge can be calculated as

Q=\int^{6}_{-6}2\exp\left(\frac{-|x|}{6}\right)dx

separating the integral from -6 to 0 and from 0 to 6, taking into account that |x|=-x for x<0 and |x|=x for x >=0, we getQ=\int^{0}_{-6}2\exp\left(\frac{x}{6}\right)dx+\int^{6}_{0}2\exp\left(\frac{-x}{6}\right)dx

using the substitution x=-u in the first integral we get\int^{0}_{-6}2\exp\left(\frac{x}{6}\right)dx=-\int^{0}_{6}2\exp\left(\frac{-u}{6}\right)du=\int^{6}_{0}2\exp\left(\frac{-u}{6}\right)du

which is the same as the first integral. Thus, the total charge is given by

Q=2\int^{6}_{0}2\exp\left(\frac{-x}{6}\right)dx

integrating we get

Q=4(-6\exp\left(\frac{-x}{6}\right))\big|^{6}_{0}=-24(\exp(-6/6)-\exp(0))=24(1-\exp(-1))

4 0
3 years ago
McKenna is volunteering in the media center at school. She has 125 books that need to go on the shelves. Each shelf holds 25 boo
Alecsey [184]
Easy.....125÷25=5 this is because if each shelf holds 25 books and there's 125 the most reasonable thing to do is to divide
5 0
4 years ago
Read 2 more answers
What is the measure of angle A?
antoniya [11.8K]

Answer:

A = 19.47

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin A = 2/6

Take the inverse sin of each side

sin ^-1 ( sin A) = sin ^-1 (2/6)

A =19.47122063

To the nearest hundredth

A = 19.47

3 0
4 years ago
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