Someone please help fast, I’m not sure what the answer is

The correct is c. +2.24.

The z score obtained by the normal distribution is 2.24.

The normal distribution is formally known as that of the Gaussian distribution, but the name "normal" was used when scientific papers in the nineteenth century demonstrated that numerous natural phenomena claimed to "deviate normally" as from mean.

The naturalist Sir Francis Galton popularized the concept of "normal variability" as the "normal curve" in his 1889 study, Natural Inheritance.

According to the question,

The formula for finding z-value from normal distribution is;

z = (x - μ) / σ

Where, x is the original score ( = 176)

μ is the mean. (= 154)

σ is the standard deviation (= 9.8)

Thus,

z = (176 - 154) / 9.8

z = 2.245

Therefore, z-score obtained by method of normal distribution is 2.24.

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The complete question is-

Select the correct answer. consider a normally distributed data set with a mean of 154 and a standard deviation of 9.8. if one of the observed values is 176, what is the z score?

a. +3.36

b. -2.24

c. +2.24

d. -22.00

e. +22.00

The circumference of the circle is 26.38 inches and the area of the circle is 55.39 square inches, both rounded to the nearest hundredth.

The diameter of a circle is the distance across the circle passing through its center. In this problem, the diameter of the circle is given as 8.4 inches. We can use the formula for the circumference and the area of a circle in terms of its diameter to find the solutions.

First, we can find the radius of the circle by dividing the diameter by 2. So, the radius is 8.4/2 = 4.2 inches.

To find the circumference of the circle, we can use the formula:

C = πd

where d is the diameter. Substituting the value of d = 8.4 inches and π = 3.14, we get:

C = 3.14 x 8.4 = 26.376

Therefore, the circumference of the circle is 26.38 inches (rounded to the nearest hundredth).

To find the area of the circle, we can use the formula:

A = πr²

where r is the radius. Substituting the value of r = 4.2 inches and π = 3.14, we get:

A = 3.14 x (4.2)² = 55.3896

Therefore, the area of the circle is 55.39 square inches (rounded to the nearest hundredth).

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Answer:

x = 70°, y = 110° , z = 85°

Step-by-step explanation:

∠ BEA and ∠ CDA are corresponding angles and congruent , then

x = 70°

x and y are adjacent angles and sum to 180°

x + y = 180°

70° + y = 180° ( subtract 70° from both sides )

y = 110°

∠ ABE and ∠ ACD are corresponding angles and congruent , then

z = 85°

Answer:

1. B) 71.2 m

2. D) 58.8 mi

3. C) 45.2 km

Answer:

0, 4

Step-by-step explanation:

A y-intercept is when a point or line intersects the y axis. That means there has to be a number in the y place. That rules all but 0, 4 and -1, 3. While -1, 3 does have a number in the y place, it doesn't mean it's a y intercept. A y intercept doesn't have anything in the x value. So, 0, 4 is the only one that fits.

Hope this helps! :)

Answer:

? whats the number your multiplying by

Step-by-step explanation:

Answer:

-12.5

Step-by-step explanation:

Hope it helps

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The center height of the semi-elliptical arch of a bridge with a span of 120 feet and a height of 10 feet at a distance of 10 feet from the center is estimated to be around 10.534 feet.

Let's denote the height of the arch at the center as h. We can use the equation of a semi-elliptical arch to solve for h.

The equation of a semi-elliptical arch is given by:

y = a√(1 - x²/b²)

where:

We are given that the span of the arch is 120 feet, so b = 60. We are also given that the height of the arch at a distance of 10 feet from the center is 10 feet, so we can plug in x = 10 and y = 10 to get:

10 = a√(1 - 10²/60²)

Simplifying, we get:

Therefore, the height of the arch at its center is approximately 10.534 feet.

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The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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The net change in the value of the function between x = 1 and x = 6 is 30.

To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.

First, we can find the output value of the function at x = 1:

f(1) = 6(1) - 5 = 1

Next, we can find the output value of the function at x = 6:

f(6) = 6(6) - 5 = 31

The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:

|f(6) - f(1)| = |31 - 1| = 30

Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.

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Answer:

D I think it's d I'm 90% confident

Answer:

D I think it's d I'm 90% confident

Step-by-step explanation:

Among all the given statements for quadrilateral and parallelogram, none of the statements is true.

A rhombus is a quadrilateral with all sides of equal length, while a parallelogram is a quadrilateral with opposite sides parallel and equal in length.

(a) a quadrilateral is a parallelogram if it is a rhombus.

False, A rhombus is a quadrilateral with all sides of equal length and opposite sides parallel, so it is a parallelogram but not all parallelograms are rhombus.

(b) a quadrilateral is a rhombus if it is a parallelogram.

False, A parallelogram is a quadrilateral with opposite sides parallel and equal in length, so it may be a rhombus but not all parallelograms are rhombus.

(c) a quadrilateral is a parallelogram if and only if it is a rhombus.

False, A rhombus is a quadrilateral with all sides of equal length and opposite sides parallel, so it is a parallelogram but not all parallelograms are rhombus.

(d) a quadrilateral is a rhombus if and only if it is a parallelogram.

False, A parallelogram is a quadrilateral with opposite sides parallel and equal in length, so it may be a rhombus but not all parallelograms are rhombus.

Hence none of the above statements is true.

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Answer:

18

Step-by-step explanation:

9+9=18 bam solved it

The probability that a randomly selected 16-bit binary string is a palindrome is approximately 0.0078125 or 0.78%.

A palindrome is a sequence of characters that reads the same forward as backward. In the case of a binary string, this means that the string is the same when read from left to right as when read from right to left.

There are a total of \(2^{16}\) = 65,536 possible 16-bit binary strings.

To find the number of palindromic binary strings, we need to consider the number of strings that are the same when read from both directions.

We can break this down into two cases:

Case 1: Strings with an even number of bits

If the binary string has an even number of bits, then it can be split into two halves of equal length. The first half determines the entire string, since the second half is simply a mirror image of the first half.

Therefore, the number of palindromic strings of even length is equal to the number of possible binary strings of length 8 (since there are 8 bits in each half), which is \(2^8\) = 256.

Case 2: Strings with an odd number of bits

If the binary string has an odd number of bits, then the middle bit must be the same when read from both directions.

Therefore, we can choose any of the 2 possible values for the middle bit, and the remaining 7 bits can be chosen independently. Therefore, the number of palindromic strings of odd length is equal to 2 * \(2^7\) = 256.

Thus, the total number of palindromic binary strings is 256 + 256 = 512.

The probability of selecting a palindromic binary string at random is therefore:

P(palindrome) = number of palindromic strings / total number of strings

P(palindrome) = 512 / 65,536

P(palindrome) ≈ 0.0078125

Therefore, the probability that a randomly selected 16-bit binary string is a palindrome is approximately 0.0078125 or 0.78%.

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\( \frac{4y}{9} - \frac{2y}{3} = 10 \\ = > \frac{4y - 6y}{9} = 10 \\ = > \frac{ - 2y}{9} = 10 \\ = > y = 10 \times \frac{9}{ - 2} \\ = > y = - 5 \times 9 \\ = > y = - 45\)

-45

Answer:

24 cm

Step-by-step explanation:

We can set up a ratio of 18 m / x cm = 3 m / 4 cm because we know that it's a scale.

Cross multiplying, we get 3x = 72. Divide both sides by 3 and we have x = 24 cm.

We can also consider it by just dividing 18 m by 3 m to find the scale factor, which is 6. We then multiply the 4 cm by 6 to get 24 cm as well.

The required diagram could be used to represent the context if x represents how much each bottle of juice cost is D. Option D is correct.

Given that,
She bought a bag of popcorn for $3.39 and a 4-pack of juice bottles. The total cost before tax was $7.43.
To determine the diagram could be used to represent the context if x represents how much each bottle of juice costs.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the cost of each juice bottle be x.
Now,
accoding to the question,
4x = 7.43 - 3.39

Thus, the required diagram could be used to represent the context if x represents how much each bottle of juice cost is D. Option D is correct.

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Answer:

39/2, 39/2 give a maximum product.

Step-by-step explanation:

Let 1 number be x then the other is 39-x.

Product P = x(39 - x)

= 39x - x^2.

Finding the derivative:

dP/dx = 39 - 2x

When P is a maximum or minimum dP/dx = 0, so

39 - 2x = 0

x = 39/2.

The 2 numbers are both 39/2.

The constant of proportionality of the graph is k = 3/2.

A general proportional relation between two variables y and x can be written as:

y = k*x

Were k is the constant of proportionality.

To find the value of k, we need to identify a point of the form (x, y) on the given graph, and then replace the values in the equation above, for example, we can use the point (4, 6), replacing that we will get:

6 = k*4

6/4 = k

3/2 = k

That is the constant of proportionality.

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Answer:

Step-by-step explanation:

The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.

Tan θ = \(\frac{opposite}{adjacent}\)

           = \(\frac{x}{d}\)

the the distance, d = x ÷ Tan θ

Assume the angle of elevation of the top of the tree is \(30^{o}\), and the height of the tree is 10 m, then the distance, d, across the river would be;

d = \(\frac{10}{0.5774}\)

  = 17.3190

d = 17.32 m

The sketch to the explanation is attached to this answer for more clarification.

Answer:

Youu can call the breadth x and then, as the length is two times the breadth, it would be 2x.

So now when we call x to the breadth and 2x to the length we can do an equation, as we know the sum of the four sides is 300 meters, so

2x + 2x + x + x = 300

6x = 300

x = 300/6 = 50

We know that the breadth is 50m, and, the length, which is twice the breadth, would be 100m in this exercise.

SO in this case, the breadth is 50 meters and the length is 100 meters..

Answer:

(15-3)+4 = x (amount of stickers)

Step-by-step explanation:

She has fifteen but gives three to a friend, giving you the first amount and then you add the four she later gets from someone else into the total to get your final number.

The amount of each trail mix that should be combined to create the special order trail mix are:

6.25 pounds of the trial that contains 75% nuts.

3.75 pounds of the trial that contains 35% nuts.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

Trial mix A = x

= 75% nuts.

Trial mix B = y

= 35% nuts

Now,

Two equations are:

x + y = 10 _____(1)

x = 10 - y _____(2)

0.75x + 0.35y = 10 x 0.60 ______(3)

Substituting (2) in (3)

0.75 (10 - y) + 0.35y = 6

7.5 - 0.75y + 0.35y = 6

7.5 - 6 = 0.75y  - 0.35y

1.5 = 0.40y

y = 1.5/0.40

y = 3.75

Now,

x = 10 - 3.75

x = 6.25

Thus,

6.25 pounds of the trial that contains 75% nuts.

3.75 pounds of the trial that contains 35% nuts.

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Answer:

6x+1?

Step-by-step explanation:

this can be simplified into 6x+1

this can be done by combining the terms with an x as well as those without. there can be more done, but you would need to specify. For exmaple the x-intercept is -1/6 (6x+1=0) (then 6x=-1) so(x=-1/6). Hope this helps!

Answer:

6x + 1

Step-by-step explanation:

x + 4 + 5x - 3

6x + 4 - 3

6x + 1

Answer:

\(18\)

Step-by-step explanation:

The value of 7 (10 - 2³) + 8 ÷ 2 is 18.

By using the law of exponent the value of (24)⁻¹ is equal to  1/24.

To simplify (24)⁻¹, we can apply the rule for negative exponents.

The rule states that any non-zero number raised to the power of -n is equal to the reciprocal of that number raised to the power of n.

Applying this rule to (24)⁻¹, we have,

(24)⁻¹

= 1 / (24)¹

= 1 / 24

Therefore, applying the law of exponent (24)⁻¹ simplifies to 1/24.

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The above question is incomplete, the complete question is:

Using laws of exponents with integer exponents ,simplify (24)⁻¹.

one over two raised to the power of negative four one over two raised to the fourth power .

The length of AB, given that OC is perpendicular to AB is B. 13.4 units.

In a circle the length of the chord is bisected by the perpendicular joining the center. This chord is divided into two parts by the circle's chords' perpendicular distances from the circle's center.

We can therefore see that OC bisects Ab which means that AC is equal to CB.

Since AC is 6. 7 units, the value of AB would be:

= 6. 7 + 6. 7

= 13. 4 units

In conclusion, the value of AB would be 13. 4 units.

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Answer:

Follow the lines

Step-by-step explanation:

Follow what the lines go with what the table has.

To make this really easy, find the slope of the line

To do this you find an easy point.

Ex. x=3 and y= 150

then take it into a slope y-intersept formula

y= mx

150= 3x

50 = x

so for every time x goes up one interval, y increases at a rate of 50.

And for y, do the opposite, for every 50 y, x goes up 1.

By following this linear path, you should really beable to solve the graph on the right. (If you need to, use a calculator for dividing the y numbers by 50 to get x)

y= 50x is ur slope/formula

(Ill leave the rest for you to answer with this data above ;) )

Hope This Helps :)

The limit of this expression as x approaches 0 is 1. To prove this, we can use L'Hospital's Rule.

Take the natural log of both sides and use the chain rule to simplify:

lim x→0 cot(3x)sin(9x) = lim x→0 ln(cot(3x)sin(9x))

Apply L'Hospital's Rule:

lim x→0 ln(cot(3x)sin(9x)) = lim x→0 [3cos(3x)cot(3x) - 9sin(9x)sin(9x)]/[3sin(3x)cot(3x) + 9cos(9x)sin(9x)]

Apply L'Hospital's Rule again:

lim x→0 [3cos(3x)cot(3x) - 9sin(9x)sin(9x)]/[3sin(3x)cot(3x) + 9cos(9x)sin(9x)] = lim x→0 [3(−sin(3x))cot(3x) - 9(cos(9x))sin(9x)]/[3(−cos(3x))cot(3x) + 9(−sin(9x))sin(9x)]

Simplify each side of the equation:

lim x→0 [3(−sin(3x))cot(3x) - 9(cos(9x))sin(9x)]/[3(−cos(3x))cot(3x) + 9(−sin(9x))sin(9x)] = lim x→0 −3/9

= -1/3

Since the limit of both sides of the equation is the same, the original limit must also be -1/3.

However, since cot(0) and sin(0) both equal 0, the limit of the original expression is 1.

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The limit of the expression lim(x→0) cot(3x) sin(9x) is 1.

We can use the properties of trigonometric functions to simplify the expression without needing to apply L'Hôpital's rule.

Recall that cot(x) = cos(x) / sin(x). Applying this to the expression:

lim(x→0) (cos(3x) / sin(3x)) sin(9x)

The sin(3x) term in the numerator and denominator cancels out:

lim(x→0) cos(3x) sin(9x) / sin(3x)

Next, we can simplify the expression further by applying the identity sin(A + B) = sin(A)cos(B) + cos(A)sin(B) to sin(9x):

lim(x→0) cos(3x) (sin(3x)cos(6x) + cos(3x)sin(6x)) / sin(3x)

Now, we can cancel out the sin(3x) term in the numerator and denominator:

lim(x→0) cos(3x) (cos(6x) + cos(3x)sin(6x)) / 1

As x approaches 0, all trigonometric functions in the expression approach their respective limits. Therefore, we can evaluate the limit directly:

lim(x→0) cos(3x) (cos(6x) + cos(3x)sin(6x)) / 1 = cos(0) (cos(0) + cos(0)sin(0)) / 1 = 1(1 + 1(0)) = 1(1 + 0) = 1

Hence, the limit of the expression lim(x→0) cot(3x) sin(9x) is 1.

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The angle 78.125° is rewritten as 78 degrees 7 minutes and 30 seconds.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The angle is given below.

⇒ 78.125°

Convert the decimal part into minutes and seconds. Then we have

⇒ 78° + 0.125 x 60

⇒ 78°7.5'

⇒ 78°7' + 0.5 x 60

⇒ 78°7'30''

The angle 78.125° is rewritten as 78 degrees 7 minutes and 30 seconds.

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