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3 years ago

What is the value of k?

Mathematics

2 answers:

poizon [28]3 years ago

4 0

Ugh there should be a problem or something ? enter a image?

Mashutka [201]3 years ago

3 0

Is there a picture or passage or anything so I can read and give you the answer?

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The temperature changes can be represented by the expression -0.5( 1 -2h).Chase says that the temperature change can also be rep

UNO [17]

Answer:

The expression are equivalent

Step-by-step explanation:

The question requests that we show whether the equation -0.5( 1 -2h) is equivalent to 4(2h + 2) - 7h - 8.5 or not :

Simplifying 4(2h + 2) - 7h - 8.5 ; we have ;

4(2h + 2) - 7h - 8.5

8h + 8 - 7h - 8.5

8h - 7h + 8 - 8.5

h - 0.5

-0.5(1 - 2h)

-0.5 + h

= h - 0.5

Hence, both expressions are the same

3 0

3 years ago

X = y+2<br> x+4y=7 <br><br> Please help!

spayn [35]

Since x = y + 2

so
y + 2 + 4y = 7

5y + 2 = 7

5y = 7-2

5y = 5

y = 1

x= y + 2

x = (1) + 2

x = 3

(x,y) = (3,1)

7 0

3 years ago

Suppose that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to

attashe74 [19]

Answer:

0.9726 = 97.26% approximate probability that X is at most 30

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).

This means that $p = 0.11$

Random sample of 200 shafts

This means that $n = 200$

Mean and Standard deviation:

$\mu = E(x) = np = 200*0.11 = 22$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.11*0.89} = 4.42$

(a) What is the (approximate) probability that X is at most 30

Using continuity correction, this is $P(X \leq 30 + 0.5) = P(X \leq 30.5)$ , which is the pvalue of Z when X = 30.5. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{30.5 - 22}{4.42}$

$Z = 1.92$

$Z = 1.92$ has a pvalue of 0.9726.

0.9726 = 97.26% approximate probability that X is at most 30

8 0

3 years ago

A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $0.36/ft2, the material fo

blagie [28]

Answer:

length: 2 ft
width: 2 ft
height: 10 ft

Step-by-step explanation:

The total cost of the top and bottom is $0.36 + 0.14 = $0.50 per square foot.

The total cost of a pair of opposite sides is $0.05 +0.05 = $0.10 per square foot.

A minimum-cost box will have the cost of any pair of opposite sides be the same. Here, that means the box will have a side area that is 5 times the area of the top or bottom.

Since the base is square, that means the box is the shape of 5 cubes stacked one on the other. Each of those would be 8 ft³, so would have edge dimensions of ∛8 = 2 feet. The height is 5 times that, or 10 ft.

The box is 2 feet square by 10 feet high:

length: 2 ft
width: 2 ft
height: 10 ft

_____

If you feel the need to write an equation, you can let x represent the edge length of the base. Then the cost of the top and bottom will be ...

top&bottom cost = 0.50·x²

The height of the box is 40/x², so the cost of the four sides will be ...

side cost = (0.05)(4x)(40/x²) = 8/x

This is minimized when the derivative of the sum of these costs is zero:

cost = top&bottom cost + side cost

cost = 0.50x² + 8/x

d(cost)/dx = 1.00x -8/x² = 0

Multiplying by x², we get ...

x³ -8 = 0

x = ∛8 = 2 . . . . . . as above

height = 40/x² = 40/4 = 10 . . . . . as above

6 0

3 years ago

Which problem can be solved using this equation?

borishaifa [10]

I dont understand this with the thing repeating itself

7 0

3 years ago

Read 2 more answers