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Natalka [10]
2 years ago
6

Find two numbers that multiply to make the 1st number and add to make the 2nd number. Multiply -42; Add 1 _____, and _____

Mathematics
1 answer:
dedylja [7]2 years ago
5 0

Answer:

  -6 and 7

Step-by-step explanation:

It is useful to look at the factor pairs of -42.

  -42 = -1(42) = -2(21) = -3(14) = -6(7)

Sums of these factor pairs are 41, 19, 11, 1.

You want the last pair of factors: -6 and 7.

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Len [333]

Answer:

48

Step-by-step explanation:

7 0
3 years ago
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Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose Zdenote the number of
Lemur [1.5K]

Answer:

a) P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

b) P(X \leq 30)= P(X

And using the z score we got:

P(X

c) P(X

And if we use the continuity correction we got:

P(X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(25,5)  

Where \mu=25 and \sigma=5

Part a

For this case we want to find this probability:

P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

And if we use the z score given by:

z =\frac{x-\mu}{\sigma}

We got this:

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

Part b

For this case we want this probability:

P(X \leq 30)

And if we use the continuity correction we got:

P(X \leq 30)= P(X

And using the z score we got:

P(X

Part c

For this case we want this probability:

P(X

And if we use the continuity correction we got:

P(X

3 0
3 years ago
Round 307 to neatest tens
hammer [34]
310 is the nearest tenth
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5 0
3 years ago
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Gina is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 12 inches by 14 1/4 inc
Fittoniya [83]

Answer:

278.63 square inches

Step-by-step explanation:

Gina needs to cut two types of rectangles.

Dimensions of one rectangle is given as,

Width = 12 inches

Length = 14\frac{1}{4} = \frac{57}{4} inches

So, the area of this rectangular paper will be

Area = width × length = 12\times \frac{57}{4} = 171 inches²

Dimensions of the other rectangular paper has been given as

Width = 10\frac{1}{4} = \frac{41}{4} inches

Length = 10\frac{1}{2} = \frac{21}{2} inches

So, the area of this rectangle will be

Area = width × length = \frac{41}{4} \times \frac{21}{2} = 107.63 inches²

Thus the total area she need to cut = 171 + 107.63 = 278.63 square inches.

6 0
3 years ago
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Are you able to write?
Volgvan

Answer:

Well isn't anyone able to write?

3 0
3 years ago
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