How do turn mixed numbers into whole numbers

Answer:

30

Step-by-step explanation:

All triangles have a measure of 180 on the inside. I found this by taking 180 and subtracting it by the sum of 53 and 97 which is 150. 108-150=30.

Answer:

The answer is 30

the inside of a triangle always adds up to 180.

Step-by-step explanation:

97 + 53 = 150

180-150 + 30

Answer:

0.5 is point D, -1/2 is point C, -1.4 is point B, 2 is point F

Step-by-step explanation:

EDGE 2020

On the number line, the given numbers can be located at the following points:

Recall:

Thus:

0.5 is a positive number, it would lie between integers 0 and 1 to our right.

- 1/2 is a negative number, it would lie between integers 0 and -1 to our left.

–1.4 is a negative number, it would lie between integers -1 and -2 to our left.

2 is a positive number, it would be located at our right.

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Answer:

54.1° (1 dp)

Step-by-step explanation:

Let the center point of the rectangle PQRS = M

Calculate the length of the line SM using Pythagoras' Theorem:

          a² + b² = c²

(11/2)² + (7/2)² = SM²

              42.5 = SM²

                SM = √42.5 cm

The height of the pyramid is 9 cm,  therefore, MT = 9

Now we have a right angled triangle with base SM and height MT and hypotenuse ST

We want to find the angle TSM, so we can use the trig formula tan x = O/A, where x is the angle, O is MT and A is SM

tan TSM = MT/SM = 9/√42.5

TSM = arctan (9/√42.5) = 54.082088°

So the angle between the line ST and the plane PQRS = 54.1° (1 dp)

With a TI-84 Plus calculator, the shaded areas beneath the standard normal curve are (a) 0.705, (b) 0.976, (c) 0.01, and (d) 0.09.

We must determine the region beneath the normal distribution curve.

a) region of the standard normal curve outside of the range between z = − 1.98 and z = 0.61.

= P (-1.98 < z < 0.61)

= P (z < 0.61) - P ( z < - 1.98)

= 0.729 - 0.024

= 0.705

= 70.5 %

b) region to the left of the standard normal curve under z = 1.98

= P ( z < 1.98)

= 0.976

= 97.6%

c) region to the right of the standard normal curve under z = 2.34

P (z > 2.34)

= 1 - P (z < 2.34)

= 1 - 0.990

= 0.01

= 1 %

d) space between the standard normal curve's upper and lower bounds z = -0.94 and z = -0.63

= P ( -0.94 < z < -0.63)

= P (z < -0.63) - P (z < -0.94)

= 0.264 - 0.174

= 0.09

= 9%

The complete question is:

Using the TI-84 calculator, find the area under the standard normal curve. Round the answers to four decimal places.(a) Find the area under the standard normal curve that lies outside the interval between z= −1.98 and z=0.61.(b) Find the area under the standard normal curve to the left of z=1.98.(c) Find the area under the standard normal curve to the right of z= 2.34.(d) Find the area under the standard normal curve that lies between z= −0.94 and z= −0.63.

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Answer

98.¯498%

Step-by-step explanation:

The length of A'B' = 5 units

The line segment AB is of 5 units. AB is then transformed through translation of 3 units to the right.

The translation only means change through a straight line. This transformation does not change the length of a line segment.

So the length of A'B' will also be 5 units.

But the position of A'B' will be different from that of AB on the co-ordinate plane. To be exactly, A'B' would be 3 units right to the position of AB on the co-ordinate plane.

Also the co-ordinates of A'B' will be different. Still their lengths will be same.

Thus the length of A'B' = 5 units

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The probability that the item will be defective is 0.017, the probability that an item selected at random is defective is 0.018 and the probability that an item is produced by machine D is 0.25

Using the formula of probability distribution to solve the given problem;

6: The probability that the item will be defective is the sum of the probabilities of a defective item from each machine:

(1% * 30%) + (1.5% * 30%) + (3% * 15%) + (2% * 25%) = 0.017

So the answer is b

7: If an item is selected at random and found to be defective, the probability that it was produced by machine A is the probability of a defective item from machine A divided by the overall probability of a defective item:

(1% * 30%) / 0.017  = 0.018

The answer is option a

8: The probability that the item was produced by machine D is the probability of a non-defective item from machine D divided by the overall probability of a non-defective item:

(25% * 98%) / (100% - 0.017) = 0.25 * 0.98 / 0.895 = 0.25

So the answer is (d) 0.253

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Answer:

Recursive rule for arithmetic sequence = an = a[n-1] + 3

Step-by-step explanation:

Given arithmetic sequence;

-7, -4, -1, 2, 5, …

Find:

Recursive rule for arithmetic sequence;

Computation:

Let a1 = -7

So,

⇒ a2 = a1 + 3 = -4

⇒ a3 = a2 + 3 = -1

⇒ a4 = a3 + 3 = 2

⇒ a5 = a4 + 3 = 5

So, the recursive formula is

⇒ an = a[n-1] + 3

Recursive rule for arithmetic sequence = an = a[n-1] + 3

Answer: 9 s

Step-by-step explanation:

Given:

h(t) = -16t² + 144t

Find:

time when h=0    They want to know when the rocket hits the ground.  This happens when h=0

Solution:

0 = -16t² + 144t                     >Take out Greatest Common Factor

0 = (-16t )(t - 9)                      >Set each parenthesis = 0

(-16t ) = 0   and    (t - 9)=0           >Solve for t

t = 0          and      t =  9              >When the rocket launches t=0 and h=0

                                                      Also,    t=9 when h=0

t=9 s

Using it's concept, the probability is calculated as follows:

P(brown or greater than 9​) = 3/5.

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

In the context of this problem, we have that:

The desired probability is calculated as follows:

P(brown or greater than 9​) = 6/10 = 3/5.

Both 6 and 10 can be simplified by 5, hence the simplified probability is of 3/5.

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Answer:

surface area of a cube is 24 cm².

➡Edge length = ?

➡ volume = ?

Total Surface Area = 6(edge)²

Volume of cube = (edge)³

i) surface area of a cube is 24 cm²

⇒ 6(edge)² = 24

⇒ (edge)² = 24/6

⇒ (edge)² = 4

⇒ (edge) = √4 = + 2 ( as edge length cannot be negative)

Hence, edge of the cube is 2 cm

ii) volume = ?

volume= (edge)³

volume = (2)³

volume = 8 cm³

Hense, volume of the cube is 8cm³

\( \large \:\sf \underline{Explanation.}\)

\(\sf{\underline{Given}}\)

\(\sf{\underline{Formula}}\)

\( \sf \: {Let's \: Begin}\)

(i) Find the length of its edge.

Let edge = x

We know that,

TSA of cube = 6a²

6a² = 24

a² = 24/6

a² = 4

a = √ 4 { Ignore negative value}

a = 2

\( \bf \pink{length \: of \: edge \: \: = \: 2 \: cm}\)

(ii) Find its volume.

We know that,

(2)³

= 8

\( \bf \green{volume \: = \: 8 \: cm {}^{3} }\)

Thus ,

\( \red {\rule{ \170pt}{4pt}}\)

The measure of angle 1 is 67.4°. The measure of angle 2 is 104.5°.

An angle is the measure of the amount of rotation between two lines or two planes that meet at a point. It is typically measured in degrees or radians. An angle can be acute, meaning it is less than 90 degrees, right, meaning it is exactly 90 degrees, obtuse, meaning it is greater than 90 degrees but less than 180 degrees, or straight, meaning it is exactly 180 degrees. An angle can also be positive or negative, depending on the direction of rotation between the lines or planes. Angles are used in various fields such as mathematics, engineering, physics, and geometry.

Here,

180-121.8=58.2°

180-(58.2+17.3)=104.5°

180-104.5=75.5°

180-(75.5+37.1)=67.4°

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Answer: 4w + 3

Step-by-step explanation:

Since the width is represented by w.

The expression for the length of the rectangular garden which is four times its width (w), plus 3 feet will be:

= (4 × w) + 3

= 4w + 3

For example, if the width is 5feet, the length will be:

= 4w + 3

= 4(5) + 3

= 20 + 3

= 23 feet.

Answer:

Solve the first equation for y

Step-by-step explanation:

At least 5 expected observations in each cell in order to apply the chi-square test of independence, we prefer to have at least 5 expected observations in each cell. The correct answer is c.

The chi-square test of independence is a statistical method used to determine whether two categorical variables are independent or associated with each other.

To apply this test, it is preferred to have at least 5 expected observations in each cell of the contingency table. The expected frequency is calculated based on the assumption of independence between the two variables.

If the expected frequency is less than 5 in any cell, the chi-square test may not be valid and alternative methods, such as Fisher's exact test, should be considered. Having a sufficient sample size can also improve the accuracy and reliability of the test results.

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Answer:

theres no image.

Step-by-step explanation:

If the expression be 23 x² + 3x + 8 then the constant exists 8.

The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.

Let the expression be 23 x² + 3x + 8

then the constant exists 8.

Therefore, the correct answer is option C. 8.

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The Fourier transforms of the given functions can be expressed as mathematical equations involving the Fourier transform X of x.

The Fourier transforms of the given functions are as follows:

(a) y(t) = x(at - b)

  Y(f) = (1/|a|) X(f/a) * exp(-j2πfb)

(b) y(t) = ∫[0 to t] x(τ) dτ

  Y(f) = (1/j2πf) X(f) + (1/2)δ(f)

(c) y(t) = ∫[-∞ to t] x(τ) dτ

  Y(f) = X(f)/j2πf + (1/2)X(0)δ(f)

(d) y(t) = D(x * x)(t)

  Y(f) = (j2πf)²X(f)

(e) y(t) = t * x(2t - 1)

  Y(f) = j(1/4π²) d²X(f) / df² * (f/2 - 1/2δ(f/2))

(f) y(t) = e\(^(j2πt)\) * x(t - 1)

  Y(f) = X(f - 1 - j2πδ(f - 1))

(g) y(t) = (t * e\(^(-j5t)\) * x(t))*

  Y(f) = (1/2)[X(f + j5) - X(f - j5)]*

(h) y(t) = (Dx) * x₁(t), where x₁(t) = e\(^(-jt)\) * x(t)

  Y(f) = (j2πf - 1)X(f - 1)

Please note that these are the general forms of the Fourier transforms, and they may vary depending on the specific properties and constraints of the signals involved.

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Answer:

10

Step-by-step explanation:

The absolute value always returns a positive value, thus

| a | = | - a | = a

Given

| 5 - 15 | = | - 10 | = 10

The probability that Marshall wins a prize on his second spin =  0.1875

Consider an event X = the number of spins until Marshall wins a prize.

Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.

So, the sample space n = 4

For given event x, the possible outcomes = 1

Using the formula of probability,

p = x/n

p = 1/4

p = 0.25

So, the probability of success p = 0.25

q = 1 - p

q = 1 - 0.25

q = 0.75

To find the probability that Marshall wins a prize on his 2nd spin.

Using formula, \(P(X = k) = (1 - p)^{k-1}p\)

For  k = 2,

\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)

P(X = 2) = 0.75 × 0.25

P(X = 2) = 0.1875

Thus, the required probability is  0.1875

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Imagine that a survey of randomly selected people finds that people who used sunscreen were more likely to have been sunburned in the past year.

There are several possible explanations for the finding that people who used sunscreen were more likely to have been sunburned in the past year.

However, without additional context or data, it is difficult to determine the most likely explanation definitively. Here are a few possible explanations to consider:

1. Ineffective or improper use of sunscreen: It is possible that the individuals who reported using sunscreen did not apply it correctly or did not reapply it as recommended.

Inadequate application or failure to follow proper sunscreen usage guidelines could result in insufficient protection from the sun's harmful rays, leading to sunburn.

2. Self-selection bias: It is possible that individuals who have previously experienced sunburns may be more likely to use sunscreen. They may be more aware of the potential risks and take precautions, including using sunscreen.

This could create an association between sunscreen use and sunburn, even though sunscreen itself is intended to prevent sunburn.

3. Recall bias: The survey responses may be subject to recall bias, where individuals may inaccurately remember or report their sunscreen use and sunburn experiences.

Memory limitations or subjective perceptions of sunburn severity could influence the reported data and the observed association between sunscreen use and sunburn.

4. Confounding factors: There may be other factors or variables at play that are related to both sunscreen use and sunburn. For example, individuals who engage in activities that increase sun exposure or who have certain skin types may be more likely to both use sunscreen and experience sunburn.

It is important to note that further investigation, including more detailed surveys, data collection and statistical analysis, would be necessary to determine the most likely explanation for the observed association between sunscreen use and sunburn.

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Answer:

-16

Step-by-step explanation:

-16... using d = b²-4ac

Answer:

the discriminant is –16

hope this helps!

Answer:

\(x->-2^{-}, p(x)->-\infty\) and as \(x->-2^{+}, p(x)->-\infty\)

Step-by-step explanation:

Given

\(p(x) = \frac{x^2-2x-3}{x+2}\) -- Missing from the question

Required

The behavior of the function around its vertical asymptote at \(x = -2\)

\(p(x) = \frac{x^2-2x-3}{x+2}\)

Expand the numerator

\(p(x) = \frac{x^2 + x -3x - 3}{x+2}\)

Factorize

\(p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}\)

Factor out x + 1

\(p(x) = \frac{(x -3)(x + 1)}{x+2}\)

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

----------------------------------------------------------------------------------------------------------

As x approaches -2 implies that:

\(x -> -2^{-}\) Say x = -3

\(p(x) = \frac{(x -3)(x + 1)}{x+2}\)

\(p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12\)

We have a negative value (-12); This will be called negative infinity

This implies that as x approaches -2, p(x) approaches negative infinity

\(x->-2^{-}, p(x)->-\infty\)

Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)

As x leaves -2 implies that: \(x>-2\)

Say x = -2.1

\(p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1\)

We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

\(x->-2^{+}, p(x)->-\infty\)

So, the behavior is:

\(x->-2^{-}, p(x)->-\infty\) and as \(x->-2^{+}, p(x)->-\infty\)

19 is the range and 14 is the IQR. So, "The range is 19, and the IQR is 14" is the appropriate response.

The range in statistics is the distinction between the greatest and lowest values within a set of data. It is a gauge of variation that reveals the degree to which values within a dataset are dispersed.

You simply take the difference between the two values to determine the range. The range is given by: When the dataset, for instance, has the values 2, 3, 5, 8, et 10, the lowest value is 2, and the highest is 10.

Range = Highest value – Lowest value = 10 – 2 = 8 .The range in this instance is hence 8.

given

The range is the discrepancy between the data set's maximum and minimum values.

The box plot shows that the range is between 40 and 59, with 40 being the smallest value and 59 being the maximum.

Maximum value - Minimum value equals 59 - 40, which equals 19.

You may determine the values of Q1 and Q3 to be roughly 45 and 59, respectively, using the box plot.

IQR = Q3 - Q1 = 59 - 45 = 14

When the IQR is 14 and the range is 19, the answer is:

19 is the range and 14 is the IQR. So, "The range is 19, and the IQR is 14" is the appropriate response.

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Answer:

\(f(\frac{1}{2}) = \sqrt{e} + 1\) or approximately 2.64872

Step-by-step explanation:

In this case, you plug in 1/2 wherever you see x in the function

\(f(\frac{1}{2}) = e^{\frac{1}{2}} + 1 \\f(\frac{1}{2}) = \sqrt{e} + 1\)

\(f(\frac{1}{2}) = 1.6487212707 + 1\\f(\frac{1}{2}) = 2.6487212707\)

Answer:

\(\sqrt{49}\)

Step-by-step explanation:

\(\sqrt{49} =7\)

The square root of 49, which is the greatest perfect square that is less than 55.

A perfect square that is the nearest, greater perfect square to \(\sqrt{49}\) is \(\sqrt{64}\).

There are no other perfect squares in between \(\sqrt{49}\) and \(\sqrt{64}\) there are only decimals.

Therefore, \(\sqrt{49}\) is your answer.

Proof:

\(7^{2} =49\)

\(8^{2}=64\)

Answer:

4

Step-by-step explanation:

There are 4 numbers to the right of decimals in question.

Pls mark Brainiest :)

distance between one pair of integers that she plotted: 10 unit, 7 unit, 3 unit.

Number line :

the line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, in plotting a point.

The numbers on the left are smaller than the numbers on the right of the number line. A number line can also be used to carry out addition, subtraction, and multiplication. We always move right to add, move left to subtract, and skip count to multiply.

Distance formula :

D= right side integer of horizontal line  - left side integer of the horizontal line

Distance between the points -8 and 2

d = 2-(-8)

d=10 unit

Distance between the points -5 and 2

d= 2-(-5)

d=2+5

d=7 unit

Distance between the points -5 and -8

d= -5-(-8)

d=-5+8

d=3

distance between one pair of integers that she plotted: 10 unit, 7 unit, 3 unit.

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