Let z be a standard normal variable. Find the value of z if z satisfies p( -z < z < z) = 0. 7062.

Answer:

If you consider what the slope looks like for a vertical line, it is an infinite slope. What that means is that you cannot have a y-value in your equation:

x = 3

This x-value would be a vertical line that passes through all y-values for x = 3. So you can replace them in (3, y) with any value, and it will be included in the linear equation x = 3.

D. None of these, as neither option B nor option C can be obtained using the Law of Detachment.

The Law of Detachment states that if a conditional statement "if p, then q" is true and p is true, then q must also be true.

Analyzing the given options:

A. The conclusion "There is no school" can be obtained by applying the Law of Detachment to the given information, as it matches the format of the law: "If today is Saturday (p), then there is no school (q)." Since today is Saturday (p), the conclusion that "There is no school" (q) can be derived using the Law of Detachment.

B. The conclusion "He is able to buy a new set of headphones" is not directly obtained by using the Law of Detachment. It involves an additional conditional statement and is not in the form of the given "if p, then q" structure.

C. The conclusion "George lives in both Brick and Ocean County" cannot be derived using the Law of Detachment. It is not in the form of a conditional statement, and there is no given information that connects George's residence to the conditional statement provided. Therefore, D is the right answer. None of them are possible utilizing the Law of Detachment, as neither option B nor option C can be obtained. Therefore, Option D is correct.

The question was incomplete. find the full content below:

Which of the following conclusions is true AND obtained by using the Law of Detachment

A. If today is Saturday, then there is no school.

Today is Saturday.

There is no school.

B. If you work 8 hours, then you'll earn $100.

If you earn $100, you'll be able to buy a new set of headphones.

Jonathan works 8 hours.

He is able to buy a new set of headphones.

C. If a person lives in Long Beach Island, then they live in Ocean County.

Brick is in Ocean County.

George lives in both Brick and Ocean County

D. None of these.

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Answer:

g=2 i hope this helps

It always helps if you rate,like and mark brainliest :D

have a good day.

The given function f(x) = 16^x is an exponential function.

An exponential function is a mathematical function in which an independent variable appears in the exponent. In this case, the base of the function is 16, and the variable x is the exponent.

In the given function f(x) = 16^x, the variable x represents the exponent to which 16 is raised. As x increases, the function value grows rapidly, indicating exponential growth. The base of 16 signifies that the function is being multiplied by 16 for each unit increase in the exponent.

In contrast, a linear function has a constant rate of change, and a quadratic function has a squared term. The given function does not involve a linear relationship or a squared term, which confirms that it is not a linear or quadratic function.

Therefore, based on the given form f(x) = 16^x and the exponential growth nature of the function, we can classify it as an exponential function.

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Answer:

Step-by-step explanation:

Corresponding angles: When two parallel lines are intersected by a transversal, the acute angles on the same side are congruent & the obtuse angles on the same side of the transversal are congruent and they are called corresponding angles.

Co-interior angles: The interior angles on the same side of the transversal are called co -interior angles and they are supplementary.

a) c + 123 =  180    {linear pair}

 c = 180 - 123

c = 57

a = 123 {Corresponding angles}

b = a   {Vertically opposite angles are congruent}

b = 123

b) f + 82 = 180   {Linear pair}

f  = 180 - 82

f = 98

d = f        {Corresponding angles}

d = 98

e = d   {Vertically opposite angles}

e = 98

c) h = 75   {Corresponding angles}

g = h {Vertically opposite anges}

g = 75

Answer:

The solutions are x = -6 or x = +2

Step-by-step explanation:

In this question, we are asked to get the series of the equation given. we can find this by equating what we have to zero

Mathematically, we proceed as follows;

(x +2)^2 -16 = 0

This can be rewritten as;

(x + 2)^2 - 4^2 = 0

we can then proceed to use the difference of two squares to finish this off

Thus, we have

(x + 2 + 4)(x + 2 - 4) = 0

(x + 6)(x-2) = 0

X + 6 = 0 or x-2 = 0

x = -6 or x = +2

Answer: $270

Step-by-step explanation:

Cost of heating last year = $120

The amount that they will expect to pay this January if their bill increased by 125% will be the addition of $120 and 125% of $120. This can be mathematically expressed as:

= $120 + (125% × $120)

= $120 + (1.25 × $120)

= $120 + $150

= $270

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

There are 90 moon marshmallows in a large box of Fortunate Flakes.

Let the number of rainbow marshmallows = r

Let number of sun marshmallows = cloud marshmallows = s

Let the number of moon marshmallows = 3r

r + s + 3r + s = 150

4r + 2s = 150

If there are twice as many rainbow marshmallows as sun marshmallows, our new equation becomes;

r = 2s

4(2s) + 2s = 150

10s = 150

s = 150/10

s = 15

Now we have 15 sun marshmallows, 15 cloud marshmallows, and 2s = 30 rainbow marshmallows.

Also, there are 3r = 3(30) = 90 moon marshmallows.

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Answer:

25% off means the cost to the customer will be 225

25% of means take 25% * 300 (which is 75) and that is the going price.

Step-by-step explanation:

25% off 300 means that you take 300, and find out what 25% of that is.

25/100 * 300 = 75

Now that means that the customer gets to take 25% off the selling price which is 300 - 75 = 225.

The new price is $225.00

25% of 300 has an entirely different meaning. It means that "what is 25% times 300"

That's the same 75 dollars. Only this time, that's the answer. Of means multiply.

Yes, you can reconstruct the 14 vertices tree , A, B, . . . , N using the given pre-order and post-order traversals.

Here is a step-by-step explanation of how to do it:

Start with the first vertex in the pre-order list (A). This vertex will be the root of the tree.
Find the position of A in the post-order list. All the vertices before A in the post-order list will be in the left subtree, and all the vertices after A will be in the right subtree.
Repeat the process for the left subtree and right subtree separately, using the same approach of finding the root (the first vertex in the pre-order list for that subtree) and splitting the post-order list into left and right subtrees accordingly.
Following these steps, you will reconstruct the tree as follows:
Root: A
Pre-order left subtree: B, D, E, H, L, M, I, F
  Post-order left subtree: D, L, M, H, I, E, F, B
Pre-order right subtree: C, G, J, K, N
  Post-order right subtree: J, N, K, G, C
Repeating the process for the left subtree:
  Root: B
  Pre-order left subtree: D, E, H, L, M, I
  Post-order left subtree: D, L, M, H, I, E
  Pre-order right subtree: F
  Post-order right subtree: F
Repeating the process for the right subtree:
  Root: C
  Pre-order left subtree: G, J, K, N
  Post-order left subtree: J, N, K, G
  Pre-order right subtree: None
  Post-order right subtree: None
Continuing this process for each subtree, you will reconstruct the original tree.

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The probability that the mean rebuild time exceeds 8.7 hours is 0.43.

Given:

a study of the amount of time it takes to rebuild the transmission for a 2005 chevy cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours.

here

μ = 8.4

σ = 1.8

x = 8.7

we know that:

z = x - μ / σ

= 8.7 - 8.4 / 1.8

= 0.3/1.8

= 03/10/18/10

= 3/18

= 1/6

= 0.166

p value at z = 0.166 is

p = 0.43

Therefore The probability that the mean rebuild time exceeds 8.7 hours is 0.43.

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The simplified form of the given expression is -x

Rational fractions are written as a ratio of two integers. For instance a/b are integers.

Given the expression below;

12 5/6x - 14x + 1/6 x

Convert the mixed to improper fraction to have:

77/6x - 14x + 1/6 x

Find the Lowest Common Multiple

77x-84x+x/6

-7x+x/6

-6x/6

Simplify the result to have

-6x/6 = -x

Hence the simplified form of the given expression is -x

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a. There is a 0.6826 percent chance that the random variable will take on a value between 45 and 55.

b. There is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

A continuous probability distribution that is symmetrically distributed about the mean is known as the normal distribution. It is frequently employed to evaluate and regularly distributed data. In this case, the random variable has a mean of 50 and a standard deviation of 5. It is normally distributed. Hence, 95.45% of the values are within one standard deviation of the mean, and 68.26% of the values are within one standard deviation of the mean. We the z-score method to identify the values that are one standard deviation away from the mean in order to compute the likelihood that the random variable will adopt a value between 45 and 55. (x-)/(x-) is the z-score formula, where x is the random variable's value, is its mean, and is its standard deviation. In this instance, 45 and 55 are one standard deviation from the mean, hence the z-score calculation is (45-50)/5 and (55-50)/5. 45 has a z-score of -1, whereas 55 has a z-score of 1. According to a z-score table, there is a 0.6826 percent chance that the random variable will have a value between 45 and 55.

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Answer:

0.0228

Step-by-step explanation:

Let us assume that the mean (μ) = 2 and the standard deviation (σ) = 0.5

Z score is a standard score used to measure the number of standard deviations by which the raw score (x) is above or below the mean. It is given by the equation:

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

For x > 3

\(z=\frac{x-\mu}{\sigma} =\frac{3-2}{0.5}=2\)

From the normal distribution table, P(x > 3) = P(z > 2) = 1 -  P(z < 2) = 1 - 0.9772 = 0.0228

Answer: $72.80

Step-by-step explanation:

If 1 kilo is 36.40 then multiply by 2

= 72.80

If Jacob is going to realize his dream of having his $5,000 (present value) grow to $10,000 (future value) in four years, the interest rate he will invest at is 18.921%.

The interest rate is the compound interest rate that will grow the present value of $5,000 to a future value of $10,000 in four years.

This interest rate is compounded annually.

N (# of periods) = 4 years

PV (Present Value) = $5,000

PMT (Periodic Payment) = $-0

FV (Future Value) = $10,000

Results:

I/Y (Annual Interest Rate) = 18.921%

Total Interest = $5,000.00

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The value of upper quartile of the box plot is, 350.

We have to given that;

the Creekview History Museum kept track of how many people visited the museum each day last month.

Now, We know that;

The value of upper quartile of the box plot shown in right side of box.

Hence, By given box plot;

The value of upper quartile of the box plot is,

⇒ 350.

Thus, The value of upper quartile of the box plot is, 350.

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The maximum height of the ball is 19.31 ft

The maximum height of a projetile is given by h = u²sin2Ф/2g where

Since a  golf ball is hit with a 1 wood (9º) off the ground with an initial velocity of 200 ft/sec, to determine the what is the maximum height of the ball, we proceed as follows.

Since the maximum height of the ball is given by h = u²sin2Ф/2g

Now, given that

So, substituting the values of the variables into the equation, we have that

h = u²sin2Ф/2g

h = (200 ft/s)²sin2(9º)/2(32 ft/s²)

=  4000 ft²/s² × sin18º/64 ft/s²)

=  4000 ft²/s² × 0.3090/64 ft/s²

= 1236.068 ft²/s²/64 ft/s²

= 19.31 ft

So, the maximum height of the ball is 19.31 ft

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Kathy has 28 dimes, 33 quarters, and 7 nickels, for a total of 68 coins which was found by solving three simultaneous equations.

Given: Kathy possesses a total of 68 coins. She has 5 more dimes than quarters and 5 times as many nickels as quarters.

Let,

number of of coins of dimes = d

number of coins of quarters = q

number of coins of nickels = n

From the given information, we can form equations as follows:

q = 5 + d

q = 5n

d + q + n = 68

Arranging these equations,

q = 5n

d = 5n - 5

n = q/5

On solving these three equations simultaneously,

we get

d = 28

q = 33

n = 7

Therefore, Kathy has 28 dimes, 33 quarters and 7 nickels which together form 68 coins in total.

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Answer:

\(\boxed{A. 2,016 km^2}\)

Step-by-step explanation:

Hey there!

TSA is calculated using,

TSA = 2wl + 2lh + 2hw

Plug in the given info.

w = 18

l = 18

h = 19

TSA = 2(18)(18) + 2(18)(19) + 2(19)(18)

TSA = 648 + 684 + 684

TSA = 2,016km²

Hope this helps :)

The total surface area of the cuboid is km². Therefore, option A is the correct answer.

The given dimensions are length=19 km, width=18 km and height=18 km.

We need to find the total surface area of the given cuboid.

Total surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, TSA=2lw+2lh+2hw, to find the surface area.

Now, TSA = 2(18)(18) + 2(18)(19) + 2(19)(18)

TSA = 648 + 684 + 684=2016 km²

The total surface area of the cuboid is km². Therefore, option A is the correct answer.

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The probability of landing heads exactly 11 times when a coin is tossed 20 times is option a) 0.1602

The repeated tossing of a coin follows a binomial distribution

P(X = x) = ⁿCₓ pˣ (1 - p)⁽ⁿ ⁻ ˣ⁾

where,

n = No. of times the experiment was repeated

x = random variable defining the number of "successes"

p = probability of "success"

Here

"succeess" is the event of landing a head.

n = 20

x = no. of times heads should show, i.e 11

p = probability of landing a head in a single toss

= 1/2

Hence, putting all this in the formula above we get

P(X = 11) = ²⁰C₁₁ 0.5¹¹ (1 - 0.5)⁽²⁰ ⁻ ¹¹⁾

= ²⁰C₁₁ 0.5¹¹ 0.5⁹

= ²⁰C₁₁ 0.5²⁰

= 20!/ 11! (20 - 11)! X 0.5²⁰

= a) 0.1602

Complete Question

An unbiased coin is tossed 20 times.

Find the probability that the coin lands heads exactly 11 times

a. 0.1602

b. 0.5731

c. 0.2941

d. 0.1527

e. 0.6374

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Answer:

C, I got it right

Step-by-step explanation:

The two major types of series are the arithmetic series and the geometric series. The arithmetic series is characterized by common difference, while the geometric series has common ratio between two successive terms.

The sum of the given series is:

\(\lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )\)

The given series is a geometric series. So, we first calculate the common ratio (r) using:

\(r = T_2 \div T_1\)

From the series, we have:

\(T_1 = \frac{1}{4}\)

\(T_2 = \frac{1}{16}\)

So, the equation becomes

\(r = \frac{1}{16} \div \frac{1}{4}\)

Rewrite as product

\(r = \frac{1}{16} * \frac{4}{1}\)

\(r = \frac{1}{4}\)

The formula to calculate the sum of a geometric series of is:

\(S_n = \frac{a(1 - r^n )}{1-r}\)

Where

\(a = T_1 =\frac{1}{4}\) -- the first term

\(S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{1-\frac{1}{4}}\)

Simplify the denominator

\(S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{\frac{3}{4}}\)

Divide 1/4 by 3/4

\(S_n = \frac{1}{3}(1 - \frac{1}{4}^n )\)

We can conclude that, the sum of the series is:

\(S_n = \lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )\)

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Answer:

c. the solution is 3 times as large as 6x(365x12)

Step-by-step explanation:

c. the solution is 3 times as large as 6x(365x12)

Answer:

.2 sdfgghh 45

Step-by-step explanation: