At a 95-percent confidence level, what should be the cutoffs from the left and right sides of a normal distribution?

The zeros of quadratic function 2x² - 7x + 3 = 0 are 3 and 1/2.

There are several methods for solving a quadratic equation of the form ax² + bx + c = 0. In our case, use the quadratic formula x = (-b ± √(b² - 4ac)) / 2a to find the zeros or the solutions for x.

Plug in the values to the formula and solve for x.

x = (-b ± √(b² - 4ac)) / 2a

x = (--7 ± √(-7² - 4(2)(3))) / 2(2)

x = (7 ± √49 - 24) / 4

x = (7 ± √25) / 4

x = (7 ± 5) / 4

x = 3   ;   x = 1/2

Hence, the zeros of quadratic function 2x² - 7x + 3 = 0 are 3 and 1/2.

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The product of 9 and 7 is 63.

Multiplication is one of the four basic mathematical operations, along with addition, subtraction, and division. In arithmetic, multiply refers to continuously adding sets of the same size. A multiplication fact is the outcome of two different numbers. The order of the numbers has no impact on the final output either. For instance, 2x3 and 3x2 both equal 6. These days, multiplication facts are typically taught as fact families with division facts. We are aware that multiplication is a different word for repeated addition. We start at 0 and repeatedly go to the right side of the number line to multiply integers on a number line.

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Answer: A straight line can be drawn through all the points and the line passes through the point where x=0 and y=0.

Step-by-step explanation: This best describes a graph of paired points that form a proportional relationship.

When you are doing calculations, you can usually tell when you need to change base by looking at the problem. If the problem includes fractions, a base other than 10 may be more efficient. If the problem includes exponents, a base other than 10 may be necessary.

When working with numbers, it is important to know what base the numbers are in in order to correctly perform calculations. The base of a number is the number of digits used to express it, meaning that the base of a number can range from base 2 (binary) to base 36 (base 36 uses the numbers 0-9 and the letters A-Z).

Changing the base of a number can be helpful when dealing with fractions, exponents, and other complex calculations. To change the base of a number, divide the number by the base and then divide the remainder by the base, continuing to divide until the remainder equals 0.

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Answer:

4/5

Step-by-step explanation:

What we know:

1 slice = 1/10 of the entire pizza

8 friends * 1 slice / 10 slices =

8 * 1/10 = 8/10 of the pizza was eaten

8/10 = 4/5 of the pizza was eaten

Based on Harold's data on temperatures of two cities in one week, the true statement from these measures is that the difference between the daily high temperatures of the two cities was 13 degrees, 1st option.

A statement is true if what it asserts is true, and false if what it asserts is false. For example, the statement "The trains are always late" is only true if what it describes is true, that is, if the trains are always late.

Also referred to as tautology. (Logic) a statement that must be true. truism. an obvious truth. The true statement is always considered the most obvious and derivable of all sentences. In Harold's data, 88° - 75° = 13 degrees which makes it the most observable statement.

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Knowing if your cervix is dilating typically involves a physical examination by a healthcare provider.

During labor, a healthcare provider will check the dilation of your cervix by performing a pelvic exam. They will use their fingers to feel the cervix, which is located at the top of the vagina, and determine the degree of dilation.

Cervical dilation is measured in centimeters, and full dilation is considered to be 10 centimeters. Before labor begins, the cervix is typically closed and has a firm consistency. As labor progresses, the cervix will start to soften and thin out, and will eventually open, or dilate.

Some women might experience Braxton Hicks contractions, which are sometimes referred as "false contractions" as they can be mistaken for the start of labor, but Braxton Hicks contractions do not cause cervical dilation.

It's important to note that dilation is just one of the factors that indicate that labor is imminent. It is not the only factor and some women can have a fully dilated cervix for days before going into active labor.

In conclusion, knowing if your cervix is dilating typically involves a physical examination by a healthcare provider, who will perform a pelvic exam to feel the cervix and determine the degree of dilation.

Cervical dilation is measured in centimeters, with full dilation being 10 centimeters. Be aware that dilation is just one of the factors that indicate labor is imminent.

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Answer:

We can use either elimination or substitution to solve this problem. Here's one way to solve it using substitution:

Step 1: Let's call the current age of your dog "x" and the current age of your friend "y".

Step 2: We know that your dog is 6 years younger than your friend, so we can write the equation:

x = y - 6

Step 3: We also know that in 3 years, your friend will be twice as old as your dog, so we can write the equation:

y + 3 = 2(x + 3)

Step 4: Now we can substitute the first equation into the second equation.

y + 3 = 2(x + 3)

(y - 6) + 3 = 2(x + 3)

x + 3 = 2(x + 3)

Step 5: Now we can solve the equation for x:

x + 3 = 2x + 6

3 = x

So the current age of your dog is 3 years old.

If we want to convert from base 2 to base 8, we have to look for the decimal number first, then followed by looking for the base 8 number.

Here are the steps to convert base 2 into base 8 :

1. Look for the decimal number

2. Look for the base 8 number

Example:

We want to convert 10101012₂ to base 8.

First, we look for the decimal number:

10101012₂ = (1 * 2⁶) + (0 * 2⁵) + (1 * 2⁴) + (0 * 2³) + (1 * 2²) + (0 * 2¹) + (1 * 2⁰)

                = 64 + 0 + 16 + 0 + 4 + 0 + 1

                = 85

Step two, we look for the base 8 number:

85 : 8 = 10 remainder 5

10 : 8 = 1 remainder 2

1 : 8 = 0 remainder 1

Thus the base 8 number is 125₈

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Answer:

The midpoint is (-15/2,-15/2) or (-7.5,-7.5)

Step-by-step explanation:

Midpoint is the formula:

[tex] \displaystyle{ \left( \dfrac {x_1 +x_2}{2} \: , \dfrac{y_1 + y_2}{2} \right)}[/tex]

Substitute in the points (x,y) which we are given in the problem

[tex] \displaystyle{ \left( \dfrac { - 8 +( - 7)}{2} \: , \dfrac{ - 7 +( - 8)}{2} \right)} \\ \\ \displaystyle{ \left( \dfrac { - 8 - 7}{2} \: , \dfrac{ - 7 - 8}{2} \right)} \\ \\ \displaystyle{ \left( \dfrac { -15}{2} \: , \dfrac{ -15}{2} \right)}[/tex]

Therefore, the midpoint is (-15/2,-15/2) or (-7.5,-7.5)

In the expression 4^4, the number first 4 is called the base, and the next number 4 is called the exponent.

The exponent tells you how many times the base is being multiplied by itself. In this case, 4 is multiplied by itself 4 times.

So, the exponent of 4^4 is 4.

It's important to note that the exponent is also known as the power, so 4^4 is also read as 4 to the power of 4.

In summary, the exponent of 4^4 is 4. It tells you how many times the base (4) is being multiplied by itself. In this case, 4 is being multiplied by itself 4 times. Understanding this concept is important for solving mathematical problems, especially in algebra and calculus.

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Answer:

w + 4

Step-by-step explanation:

The length and width of the rectangle is 28 feet and 58 feet respectively.

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

Therefore, the perimeter of a rectangle is the sum of the whole 4 sides of the rectangle.

Hence, the perimeter of a rectangle is 172 feet.

perimeter of a rectangle = 2(l + w)

where

l = x

w = 2(x + 1) = 2x + 2

Therefore,

172 = 2(x + 2x + 2)

172 = 2(3x + 2)

divide both sides by 2

172 / 2 = 3x + 2

86 = 3x + 2

86 - 2 = 3x

3x = 84

divide both sides by 3

x = 84 / 3

x = 28

Therefore,

length = 28 feet

width = 2(28) + 2 = 58 feet

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Answer:

7 - 13 hours

Step-by-step explanation:

This is just a common word problem.

Maggie gets charged $15 an hour and wants at least $105 and under $195

105 divided by 15 is 7 hours. 195 divided by 15 is 13 hours

The answer is she can babysit for 7 - 13 hours so she can make enough money for the bag she wants without having to pay taxes for her earnings.

Yes, Urie correctly completed the square to solve the equation 0 = 3x + 9 to the square root of 2 - 9x + 27.

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On solving the provided question, we can say that angle, by trigonometry. angle = cos(x) = 50+53 /9; x = [tex]cos^{-1}(11.45)[/tex]

In Euclidean geometry, an angle is a shape made up of two rays, referred to as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays can generate an angle that is in the plane where the rays are located. The meeting of two planes also creates an angle. They are referred to as dihedral angles. An angle is the shape created by two rays or lines that have a shared termination in plane geometry. The Latin word "angulus," which meaning "horn," is the source of the English term "angle." The vertex is the common terminal of the two rays, which are referred to as the sides of the angle.

to find the .

height = 9 km

base = 50

by trigonometry,

angle = cos(x) = 50+53 /9

cos(x) = 50+53 /9

cos(x) = 103/9

cos(x) = 11.45

angle, x = [tex]cos^{-1}(11.45)[/tex]

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The value of x in the triangle given the diagram is 31°.

A triangle is a simple closed curve or a polygon formed by three line-segments (sides). A triangle is a polygon with three sides, ABC is a triangle. Its sides are AB, BC, and CA.

The vertex is the point at which two sides meet. The vertices are A, B, and C. Triangles come in a variety of shapes and sizes. Triangles are classified according to their sides and angles. Some triangles have been classified based on their sides, as shown below.

Using the angle sum property we can define x

∠a + ∠b+ ∠c = 180°

Given two angles

63° and 86

Put the values in formula

63 +  86+ x = 180°

x = 180 - 63 -  86

x = 31°

Thus, the value of x in the triangle given the diagram is 31°.

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Full question:

Find the value of x. 63°, 86°, x°

Step-by-step explanation:

g(x) = 3^-x

x = 7/5

so,

3^-(7/5)

the "-" says "1/...", therefore

1/(3^(7/5))

that is the expressing with the positive rational exponent.

with a fractional a/b exponent, "a" means "to the power of", and "b" means "pull the bth root".

so,

1/(3^(7/5)) =

[tex] \frac{1}{ \sqrt[5]{ {3}^{7} } } [/tex]

that is the expression with a radical.

to find the point find the origin (0, 0) point. from there go eighth on the x-axis to 7/5 = 1.4. and from there you go straight up to the curve. that is the point of g(7/5).

1/(3^(7/5)) = 0.214798005...

that is what the y value would be of that point.

by the way, the graph in the picture does not match the actual graph.

The  quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero.

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Logarithmic equations with negative logs have no solution. Always use the original logarithmic equation to check for solved values.

The rules apply to any logarithm logbx, with the exception that any occurrence of e must be replaced with the new base b. Equations (1) and (2) defined the natural log. It is acceptable for x to be 0 or negative. However, when substituted or evaluated into the original logarithm equation, it is not allowed to have a logarithm of a negative number or a logarithm of zero, 0.

If we solve for x using log rules and properties, then plug those x values into the original equation, the equation should be satisfied. Also, keep in mind that the log's argument after plugging in the x values must be positive. There is no solution because the log's argument is negative.

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The length of the hypotenuse is 9.43 inches.

Building triangles entails using a protractor, a compass, and a ruler to build various triangles.

A triangle is a polygon with three sides. There are three angles, three vertices, and three sides to it. When the measurements are provided based on different qualities like SSS, SAS, and ASA, building triangles is simple.

These characteristics and guidelines must be understood in order to design a triangle:

(1) There are three sides presented (SSS – Side side side).

(2) Two sides are given, along with an angle (SAS – Side angle side).

(3) Two angles are shown, together with the included side (ASA – Angle side angle).

(4) The right triangle contains the measurements of the hypotenuse and a side (RHS – Right angle hypotenuse side).

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Answer:

Step-by-step explanation:

When dividing like bases (x is our base) we simplify by subtracting the exponents, top minus bottom. Since the exponents are fractions, we need a common denominator.

[tex]\frac{1}{5} -\frac{2}{15}=\frac{3}{15} -\frac{2}{15}=\frac{1}{15}[/tex]

thus, the simplification is [tex]x^\frac{1}{15}[/tex]

Answer:

(x 1/5)/(x 2/15)=.

(x1/5)× 15/2x

=15x/10x

=1.5

Answer:

Population(year x) = 120*(1.09)^x

Step-by-step explanation:

Let x be the number of years from the time the population is 120 (year 0).

Population(year x) = 120*(1.09)^x

The 1.09 represents the growth for 1 year added to the initial population.  E.g., year 1 would have a population of 120*(1.09)^1 or 140.8 (141).  Year 2 would be 120*(1.09)^2 or 142.5 (143).  And so on.

Each new year bilds on the prior year's ending population.  In longhamd, this would be:

Year   Pop.

 0       120   120*(1.09)^0

 1         141   120*(1.09)

 2                120*(1.09)(1.09) or 120*(1.09)^2

 3                120*(1.09)(1.09)(1.09) or 120*(1.09)^3

and so on.

Answer:

Step-by-step explanation:

if it is 35 because if you put together two negative numbers they become positive

I hope it helps you :)

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 6x - 7 = 35[/tex]

[tex]\qquad \sf  \dashrightarrow \: 6x - 7 + 7 = 35 + 7[/tex]

[tex]\qquad \sf  \dashrightarrow \: 6x = 35 + 7[/tex]

[tex]\qquad \sf  \dashrightarrow \: 6x = 42[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 7[/tex]

Predicting the population of the city in 30 years and to the nearest whole number with a decreasing population of 0.2% will give a value of

The population is predicted by expressing the word problem as an exponential functions

An exponential function is a type of function that are of 3 main parts

Considering the given problem,  f(x) = 300(1.16)^x

the starting = 385 000

the base = 1 - r for decreasing where r is rate given as 0.2%

base = 1 - 0.2% = 0.998

the exponents = t

In the 30 years the population will be

= 385000 * (0.998)³⁰

= 362557.5623

= 362558

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The value of {a} is equivalent to 3.

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the equation of a straight line → y = ax

The points (3, 9) and (–3, –9) are plotted on the coordinate plane using the equation y = ax, this means that -

9 = a x 3

a = 3

and

- 9 = a x - 3

a = 3

Therefore, the value of {a} is equivalent to 3.

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it would equal 2

sssssssssssssssssssss

i think it will equal to 2

Answer:

but im not sure

The slope of the given equation y = -5x is -5.

The equation y = -5x is a linear equation, which means that it is a function that can be represented in the form y = mx + b, where m is the slope and b is the y-intercept. The slope of a linear equation is the coefficient of x in the equation. In this case, the coefficient of x is -5, so the slope of the equation is -5.

It's worth noting that the slope represents the rate of change of the y-coordinate with respect to the x-coordinate, in other words, the steepness of the line. A slope of -5 means that for each unit increase in the x-coordinate, the y-coordinate will decrease by 5 units.

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The complete question is -

What is the slope of y = -5x?