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3 years ago

Givers the linear sequence, -2,7,X,Y, 2... Find the value of Z.

Mathematics

1 answer:

Harrizon [31]3 years ago

7 0

Answer:

Z = 34

Step-by-step explanation:

From the series, we have that:

a = -2

a + d = 7

Hence, -2 + d = 7

∴ d = 7 + 2 = 9

a + 2d = X; a + 3d = Y and a + 4d = Z

-2 + 4(9) = Z

∴ Z = 36 - 2 = 34

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Convert 32% to a fraction

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32 In A Decimal Should Be 32 Over 100 so 32/100 Because A Percent Is Any Number Over 100 So Your Answer Would Be 32/100

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What is the missing constant term in the perfect square that starts with x 2 − 16 x

OlgaM077 [116]

Explanation:

Divide the negative 16 by 2= -8

Then square -8

So the missing constant is 64

The perfect square would be (x-8)^2

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4 years ago

Simplify 36n^7p^5 over 9n^4p

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2(exponent2)n(exponent11)p(exponent6)

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the wind on any random day in bryan is normally distributed with a standard deviation of 5.1 mph. a sample of 16 random days in

Karolina [17]

The 98% confidence interval estimate of the population mean is

15.823 < μ < 22.177

In the given situation the wind on a random day in Bryan is normally distributed with the following values;

Standard Deviation = ( δ ) = 5.1 mph

A random day of 16 is taken into account for the consideration of Bryan's average value of 19mph.

n = 16

By taking the confidence level of T - Factor, we get the;

At a 98% confidence level, the t is,

tα /2,df = t₀.₀₄,₂₄ = 2.492 ( df = hours in a day)

Margin of error = E = tα/2,df * (δ /√n)

= 2.492 * (5.1 / √16)

= 3.177

The 98% confidence interval estimate of the population mean is,

x - E < μ < x + E

19 - 3.177 < μ < 19 + 3.177

15.823 < μ < 22.177

The 98% confidence interval estimate of the population mean is

15.823 < μ < 22.177

To learn more about Standard Deviation click here:

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2 years ago

If P and Q are two sets then n( P-Q) means ?

Lapatulllka [165]

$\huge{\mathbb{ \tt{ANSWER}}}$

I shall use the symbol U for union

^ for intersection

~ for complement

The property of set subtraction states that for any sets X and Y, X-Y = X ^ Y~

That is in words, X throw away Y is the same as the intersection of X and the complement of Y

or X and anything NOT in Y

At the SET level, the proof looks like this:

(P-Q) U (Q-P) = « given

(P^Q~) U (Q ^ P~) = « property of set subtraction

(P U Q) ^ (P U P~) ^ (Q~ U Q) ^ (Q~ U P~) = « distributive property

(P u Q) ^ (Q~ U P~) = « Union of any set with it's complement is the universal

set which gets dropped by any intersection of a non-universal set

(P u Q ) ^ (Q ^ P)~ = « De Morgan's Law

(P u Q) - (Q ^ P) = « property of set subtraction

(P u Q) - (P ^ Q) « commutative property

At the ELEMENT level, the proof looks like this:

» Proves left side is subset of right side

If x is in (P-Q) U (Q-P) then x is in (P-Q) OR x is in (Q-P)

If x is in P-Q then x is in P but not in Q.

Then X is in P U Q.

Since x is not in Q, x is NOT in P ^ Q

Hence x is in P U Q but NOT in P^Q, which

means it is an element if (P U Q) - (P ^ Q)

Therefore x is an element of the set defined by the right side, which means (P-Q) U (Q-P) is a subset of (P U Q) - (P ^ Q)

« proves right side is subset of the left side

If x is an element of (P U Q) - (P ^ Q) then

x is in (P U Q) but NOT in (P^Q)

Since x is in P U Q, x is in P OR x is in Q.

Since x is NOT in (P^Q) then x is NOT in BOTH P and Q.

Hence x is in either P or Q but not both.

If x is in P, then x is not in Q, so x is in P-Q.

Therefore x is in (P-Q) U (Q-P).if x is in Q, then x is not in P, so x is in Q-P.Therefore x is in (Q-P) U (P-Q).There x is an element of set defined by the left side, which menas (P u Q)-(P ^Q) is a subset of (P-Q) U (Q-P).

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#LetsEnjoyTheSummer

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