how to turn 7.5% into a fraction in simplest form

Answer:

9.4

Step-by-step explanation:

We are given that two integers -14.6 and -5.2

We have to find  distance between -14.6 and -5.2.

Difference between =-5.2-(14.6)

Difference=-5.2+14.6=9.4

Distance is the absolute value of 9.4

Therefore,

[tex]\mid 9.4\mid =9.4[/tex]

Distance between -14.6 and -5.2 is 9.4

Answer: 0.8%

Step-by-step explanation:

Given : In a batch of 960 calculators, 8 were found to be defective.

i.e. Total calculators =960

Number of defective calculator = 8

We know that the probability of any event is given by :-

[tex]\dfrac{\text{No. of favorable outcomes}}{\text{Total outcomes}}\\\\=\dfrac{8}{960}=0.00833333333333[/tex]

In percent, [tex]0.00833333333333\times100=0.833333333333\%\\\\\approx0.8\%\ \ \ [\text{Rounding to the nearest tenth.}][/tex]

Hence, the probability that a calculator chosen at random will be defective=0.8%

Answer:

[tex]s(t)=(9 cost,9 sint , 32805 cos^4 t) , t\in (0,2\pi)[/tex]

Step-by-step explanation:

We are given that two surfaces

[tex]x^2+y^2=81[/tex]

and [tex]z=5x^4[/tex]

We have to find the parametrize the intersection of the given surfaces using cost and sin t with positive coefficient.

We know that intersection curve S(t) is given by

S(t)=(x(t),y(t),z(t)),[tex]t\in(0,2\pi)[/tex]

[tex]x^2+y^2=(9)^2[/tex]

Compare with the equation of circle [tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is center of circle and r is the radius of the circle.

The center and radius of given circle is (0,0) and 9.

[tex]x=9cost,y=9 sint[/tex]

because cost  takes along x - axis and sin t takes along y- axis.

When we substitute these values then we get

[tex]81cos^2t+81sin^2t=81(cos^2t+sin^2t)=81 [/tex] ([tex]sin^2t+cos^2t)=1[/tex])

Hence, [tex]x=9 cost, y= 9sint [/tex]

Substitute the value of x in second equation of surface

[tex]z=5(9cost)^4=32805 cos^4t[/tex]

Hence, the intersection curve s(t) is given by

[tex]s(t)=(9 cost,9 sint , 32805 cos^4 t) , t\in (0,2\pi)[/tex]

By setting up a system of equations, we find that the larger and smaller numbers in question are 31 and 12, respectively. We solve for the larger number first and then use it to find the smaller number.

To solve this problem, we can use variables to represent the two unknown numbers. Let's call the larger number x and the smaller number y. We have two pieces of information that can be turned into mathematical equations:

Now we can substitute the second equation into the first one to solve for x:

x + (x - 19) = 43

Simplifying the equation, we get:

2x - 19 = 43

Adding 19 to both sides gives us:

2x = 62

Dividing both sides by 2 gives us:

x = 31

Now that we have the value of x, we can find y:

y = 31 - 19

This gives us:

y = 12

Therefore, the larger number is 31 and the smaller number is 12.

The rate of flow of syrup from the tree will be in mixed fraction form, equal to 1 1/2.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data mentioned in the question,

The amount of syrup obtained from the tree = 3/4 cup

The time is taken to fill 3/4 cup = 1/2 hour

Then, the rate of flow of syrup will be,

(3/4) ÷ (1/2)

3/4 × 2/1

= 6/4 = 3/2

It can also be written in mixed fraction form,

= 1 1/2

To know more about arithmetic operations:

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Final answer:

The probability that fewer than 32 out of 60 victims did not know their murderer can be found using the binomial probability formula, summing the probabilities where x ranges from 0 to 31 with a success rate of 42% for each trial.

Explanation:

To find the probability that fewer than 32 out of 60 murder victims did not know their murderer, given that 58% of victims did know their murderer, we can use the binomial probability formula. Considering that 42% (=100%-58%) of the victims did not know their murderer, we want the cumulative probability of x=0 to x=31 successes (victims not knowing the murderer) out of n=60 trials (total murder cases).

 This can be calculated using a statistical program or a binomial probability table, as manually computing this would be time-consuming and complex. However, the specific steps would involve summing up the probabilities of all scenarios where the number of victims not knowing their murderer ranged from 0 to 31, factoring in the binomial coefficient, the probability of a single victim not knowing the murderer (42%), and its complement for each case.

Answer:  Fourth and Fifth options are correct.

Step-by-step explanation:

Since we have given two points i.e. A, E, and J

We can see from the graph that

A, E, J are non coplanar and non collinear.

Coplanar means that all the points lie in the same plane.

Collinear means that all the points lie in the same line.

But A, E, and J are neither  in the same plane nor in the same line.

Hence, Fourth and Fifth options are correct.

Answer:

Option A - 4

Step-by-step explanation:

Given : Inequality [tex]30 - x^2 < 3x + 7[/tex]

To find : Choose the value of x that makes the open sentence true  ?

Solution :

We substitute the value of x from options to check which is true,

A) x=4

[tex]30 - 4^2 < 3(4) + 7[/tex]

[tex]30-16 < 12+ 7[/tex]

[tex]14< 19[/tex]

It is true.

B) x=3

[tex]30 - 3^2 < 3(3) + 7[/tex]

[tex]30-9< 9+ 7[/tex]

[tex]21< 16[/tex]

It is false.

C) x=2

[tex]30 - 2^2 < 3(2) + 7[/tex]

[tex]30-4<6+ 7[/tex]

[tex]26< 13[/tex]

It is false.

D) x=1

[tex]30 - 1^2 < 3(1) + 7[/tex]

[tex]30-1<3+ 7[/tex]

[tex]29< 10[/tex]

It is false.

Therefore, Option A is correct.

The answer is A) 3 / 20 on USA Test Prep!

Have a great day!

For the inequality y ≥ x, the boundary line should be solid, the slope should be 1, the y-intercept should be 0, and shading should be above the line. Therefore, the error could be an incorrect slope, an incorrect y-intercept, or shading below the line.

Without seeing the graph it is difficult to determine exactly what is wrong, but based on the question and the options given, we can review the conditions of the inequality y ≥ x. For this inequality:

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The place of the digit 2 in the decimal number will be hundredths place.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The decimal number is the sum of a whole number and part of a fraction number. The fraction number is greater than zero but less than one.

The decimal number is given below.

⇒ 0.812

The place after the decimal starts from the tenths, hundredths, thousandths, and so on.

The place of the digit 2 in the decimal number will be hundredths place.

More about the Algebra link is given below.

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The difference between 164 and 220 is 56.

The difference between 164 and 220 is 56. In mathematical terms, you calculate the difference by subtracting the smaller number from the larger one:

220 - 164 = 56.

The line of linear function h(x) = –6 + x is not going to enter in the second quadrant so option second will be correct.

The link between lines and points is described by a graph, which is a diagrammatic representation of a network.

A graph is made up of some points and the distance between two. It doesn't matter how much time the lines are or where the points are located. A node is a name for each constituent in a graph.

Given equation is h(x) = –6 + x

at x = 0 , h(x) = -6 so ( 0 , -6 ) is first point.

at x =1 , h(x) = -5 so ( 1 , -5 ) is second point.

If we draw a line by the two-point which I have attached then you can see it not going to the second quarter.

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Answer:25%

Step-by-step explanation: