Seventy hundredth is the same as 0.07

Answer: 0.9525

Step-by-step explanation:

Given : The salaries of elementary school teachers in the united states are normally distributed with a mean of [tex]\mu=\$32,000[/tex] and a standard deviation of [tex]\sigma=\$3000[/tex].

Sample size : n= 100

Let x be a random variable that denotes the salaries of elementary school teachers in the united states.

Formula : [tex]z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

Then, the probability that their mean salary is less than $32,500 will be :-

[tex]P(x<32500)=P(\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{32500-32000}{\dfrac{3000}{\sqrt{81}}})\\\\=P(z<\dfrac{500}{\dfrac{3000}{10}})\approx P(z<1.67)=0.9525\ \ [\text{Using z-value}][/tex]

Hence, the probability that their mean salary is less than $32,500 = 0.9525

Answer:

The cube has the greater volume.

Step-by-step explanation:

The volume of a cube is given as:

[tex]V=x^3[/tex]

Where [tex]x[/tex] is the measure of 1 side (all sides of a cube are same)

The volume of a rectangular solid is given as:

[tex]V=l*w*h[/tex]

Where [tex]l[/tex] is the length, [tex]w[/tex] is the width, and [tex]h[/tex] is the height.

From the problem,

The cube has the greater volume.

The question is about the temperature range of a coat and its ability to withstand extreme temperatures.

The subject of this question is Physics, as it involves understanding the temperature range of a coat and its ability to withstand extreme temperatures.

Given that the coat is recommended for temperatures from -15°F to 45°F, it means that the coat is designed to provide sufficient insulation and protection within this temperature range. The negative symbol in -15°F indicates that it is below freezing point.

This suggests that the coat is designed to keep the wearer warm in sub-freezing temperatures, down to -15°F, and up to 45°F. It is important to note that the recommended temperature range may vary depending on individual tolerance, activity level, and wind chill factors.

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Answer:

       Equation of line , 5x + 3y = 0

Step-by-step explanation:

The slope of a line passing through points (x₁,y₁) and (x₂,y₂) is given by [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Here points are given by (-3,0) and (-6,5)

Slope[tex]=\frac{5-0}{(-6)-(-3)}=\frac{-5}{3}[/tex]

The slope of parallel lines are same. So slope of required line [tex]=\frac{-5}{3}[/tex]

Equation of a line with slope m passing through origin is given by

                    y =mx

               So equation of line, [tex]y=\frac{-5}{3}x\\\\3y=-5x\\\\5x+3y=0[/tex]

Equation of line , 5x + 3y = 0

Answer: -5x -3y = 0

Step-by-step explanation:

took on edmentum/plato and got it right. enjoy :)

Answer:

Option a. accountant.  

Step-by-step explanation:

We have been given the positive correlation graph between salary and education

Positive correlation means a linear relationship between two  that  means if education increases salary increases.

We need to tell which among the given options  requires most education the one which will have highest salary.

That means the Accountant among the given option requires most education.

Because he has highest salary among given four options.

The Expression is 6t - 9.

An equation is a mathematical statement that connects two expressions of equal value by using the "equal to" symbol.

A mathematical statement with two algebraic expressions on either side of an "equal to (=)" sign is called an equation. It demonstrates the equality of the relationship between the expression written on the left and right sides.

Given Expression  "nine less than six times the number t"

which means number 9 should less than product of 6 and t

six times the number t implies the product of t and 6 which is equal to

6t,

and subtract 9 from 6t we get

6t - 9

Hence the expression "nine less than six times the number t" is 6t - 9.

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To represent the new price during the 'no application fee' special, the dance studio's cost equation would change from C = 50x + 75 to C = 50x by removing the $75 application fee.

The dance studio's original cost equation is C = 50x + 75, where C represents the total cost and x represents the number of months of membership. The $75 in the equation represents the application fee. During the "no application fee" special in January, this fee is waived, so the new equation would only include the monthly membership cost, which is $50 per month. The new equation would be C = 50x, removing the application fee entirely from the cost calculation.

Kevin's spinner will land on red or green approximately 72 times out of 180 spins since the probability of landing on red or green per spin is 0.4.

The student's question involves determining the expected number of times a spinner will land on specific colors, given that the spinner is spun a large number of times. In this scenario, Kevin has a spinner with 10 equal sections with 2 sections of each color - red, blue, green, yellow, and purple. When Kevin spins the spinner 180 times, he wants to figure out how many times it will land on red or green.

Since there are 2 sections each of red and green out of a total of 10, the probability of landing on either red or green for a single spin is P(red or green) = P(red) + P(green) = 2/10 + 2/10 = 4/10 = 0.4. To find the expected number of times the spinner will land on red or green after 180 spins, we simply multiply the total number of spins by the probability of landing on red or green: 180 spins * 0.4 = 72 spins. Therefore, we can expect the spinner to land on red or green approximately 72 times out of 180 spins.

Expanded form of a certain number involves writing out the place Number value of each digit in the number. The expanded Form of 18,801,310 is [tex] (1 \times {10}^{7} ) + (8 \times {10}^{6} ) + (8 \times {10}^{5} ) + (0 \times {10}^{4} ) + (1 \times {10}^{3} ) + (3 \times {10}^{2} ) + (1 \times {10}^{1} ) + (0 \times {10}^{0} ) [/tex]

Hence,

[tex]18,801,310 = (1 \times {10}^{7} ) + (8 \times {10}^{6} ) + (8 \times {10}^{5} ) + (0 \times {10}^{4} ) + (1 \times {10}^{3} ) + (3 \times {10}^{2} ) + (1 \times {10}^{1} ) + (0 \times {10}^{0} )[/tex]

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The required domain and range of the f(x) = 3x is (-∞, +∞) and (-∞, +∞) respectively.

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

Here,
The function f(x) = 3x is a linear function where the output (the range) is directly proportional to the input (the domain).

The domain of this function is the set of all real numbers because we can substitute any real number for x and get a valid output.

The range of the function is also the set of all real numbers because we can get any real number as the output by multiplying a real number by 3. Therefore, the range of the function is also all real numbers.

In interval notation, we can represent the domain and range as follows,

Domain: (-∞, +∞)

Range: (-∞, +∞)

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Answer:

x=-29

Step-by-step explanation:

First multiply 0.35 by x+4 and 0.25 by x-6 after you do that you will get

0.35x+1.4=0.25x-1.5

now add 1.5 from -1.5 and 1.4 now your equation on will look like this

0.35x+2.9=0.25x

Now subtract 0.35x from both sides of the equation and your equation will look like this

2.9=0.1x

at this point you divide to get your answer, divide 2.9 and 0.1x by -0.1 and you will end up with 2.9 over -0.1 once you divide you will get -29=x

The  value of x is -29.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

0.35(x+4)=0.25(x-6)

Now, solving for x

0.35 x + 1.4 = 0.25x - 1.5

0.10x = -2.9

x= -29

Hence, the value of x is -29.

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Answer:

15$

These are simple algerbra problems.