LabTech is a company that manufactures microscopes and other laboratory instruments . On occasion, one of the microscopes is defective when it comes off of the production line. The probability that a microscope is defective is 0.17%. Find the probability that one of the first 50 microscopes is defective .

Answer:

So each interior angle measurement of the regular triangle is 60 degrees.

Step-by-step explanation:

If the triangle is regular, this means all the side measurements are congruent to each other and that all the angle measurements are congruent to each other.

If the sum of the angles in a triangle is 180 degrees and you know they are each the same then you could either solve x+x+x=180 or know we are just dealings with an equiangular triangle in which all angles have measurement 60 degrees.

If need more convincing, let's actually solve:

x+x+x=180

3x=180

x=180/3

x=60

So each interior angle measurement of the regular triangle is 60 degrees.

Answer:

It is $17.

Step-by-step explanation:

Step-by-step explanation:

Let the mass of the person be [tex]m[/tex].

Let the spring constant be [tex]k[/tex].

Let the displacement in spring be [tex]x[/tex]

Let the acceleration due to gravity be [tex]g[/tex]

As it is given that the person just stands,the forces are balanced.

So,[tex]mg=kx[/tex]

Given,

[tex]m=60Kg\\k=2500Nm^{-1}\\g=9.8ms^{-2}[/tex]

[tex]60\times 9.8=2500\times x\\x=\frac{588}{2500}=0.2352m[/tex]

Answer:

x=-3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

A

A.K.A – 3.

Step-by-step explanation:

Answer:

A. is False

B. is True

C. is False

D. is False

Step-by-step explanation:

Its absolute value so that means all numbers are now positive only with the ones that are with the double lines

Given equation:  p - -3 7/9 = 5/6

When you subtract a negative number you automatically change it to adding a positive number.

p - -3 7/9 = 5/6 → p + 3 7/9 = 5/6

To isolate p in this equation we need to subtract 3 7/9 to both sides.

p + 3 7/9 - 3 7/9 = 5/6 - 3 7/9

p = -161/18

_______

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Solving the inequality [tex]-x+8>6[/tex] we get [tex]x<2[/tex]

Step-by-step explanation:

We need to find the value of x from the inequality [tex]-x+8>6[/tex]

Solving:

[tex]-x+8>6[/tex]

Subtract 8 on both sides:

[tex]-x+8-8>6-8[/tex]

[tex]-x>-2[/tex]

Divide both sides by (-1). For doing this the sign of inequality is reversed i.e, > is changed into <

[tex]x<2[/tex]

So, Solving the inequality [tex]-x+8>6[/tex] we get [tex]x<2[/tex]

Keywords: Solving inequalities

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Answer:

13

Step-by-step explanation:

3 x 3 = 9

7 + 3 = 10

7 + ? = 3 + 7 + 3 + 7

7 + ? = 20

? = 13

Answer:

Step-by-step explanation:

[tex]p\times p=9\\\\p^2=9\to p=\sqrt9\to \boxed{p=3}\\\\c+p=10\qquad\text{put the value of}\ p\\\\c+3=10\qquad\text{subtract 3 from both sides}\\\\\boxed{c=7}\\\\c+s=p+c+p+c\qquad\text{put the values of}\ p\ \text{and}\ c\\\\7+s=3+7+3+7\\\\7+s=20\qquad\text{subtract 7 from both sides}\\\\\boxed{s=13}[/tex]

Answer:

[tex]A=16\pi\ units^{2}[/tex]

[tex]A=50.24\ units^{2}[/tex]

Step-by-step explanation:

we know that

The shape of the figure is a quarter of circle

so

The area of the figure is equal to the area of a circle divided by 4

[tex]A=\frac{1}{4}\pi r^{2}[/tex]

we have

[tex]r=8\ units[/tex]

substitute

[tex]A=\frac{1}{4}\pi (8)^{2}[/tex]

[tex]A=16\pi\ units^{2}[/tex] ----> exact answer

assume

[tex]\pi =3.14[/tex]

[tex]A=16(3.14)=50.24\ units^{2}[/tex] ----> decimal answer

Answer:

x(x-5) = 14

x^2-5x-14 = 0

x^2 -7x+2x-14=0

x(x-7)+2(x-7)=0

(x+2)(x-7)=0

x = -2, 7

Hope this helps!

Answer:

Culinary school because it is shorter schooling and costs less

Step-by-step explanation:

A total of 750 students responded yes.

As it is given in the tree diagram that is lower there was a total of 450 students who responded yes.

Now, in upper there were a total of 400 students of which 100 students responded no which means (400-100), students responded yes i.e., a total of 300 students responded yes.

So,  upper+lower responses of yes will be total responses of students as yes.

So, a total of 300+450=750  students responded yes.

Hence, 750 students responded yes.

Therefore, option C is the correct answer.

1 : to say something in return : make an answer respond to criticism. 2a : to react in response responded to a call for help. b : to show favorable reaction respond to surgery. 3 : to be answerable respond in damages.

Respond is defined as to answer or reply or to act in return. An example of to respond is to answer a question in class. An example of to respond is for an ambulance to rush to the scene of an accident after a phone call requesting their service. (intransitive) To say something in return; to answer; to reply.

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Answer:

C = 35 + 45h

In the equation above $35 is the initial value which interprets the cost for motor parts and $45/hour is the rate of charge of the mechanic per hour.

Step-by-step explanation:

Charges for parts and $45 per hour for  labor that takes a mechanic for maintenance of a car.

It costs $125 as Terri spent 2 hours for car maintenance.

Since the function is linear, so we can write  

125 = 45 × 2 + x {Where x is the charges for parts}

⇒ x = 35

Therefore, the equation that models the situation is given by  

C = 35 + 45h ......... (1)

where C is the total cost and h is the number of hours.

Here, in equation (1) $35 is the initial value that interprets the cost for parts and $45/hour is the rate of charge of the mechanic per hour. (Answer)

Answer:

x=5

Step-by-step explanation:

so to isolate the x you dived the -3 to both sides

so it will now be

x=5 because a negative times or divided by a negative equals a positive so to prove that x=5

-3(5)=-15

which is true

Answer:

20/69=0.2898550724637...

Step-by-step explanation:

a calculator

The result of 7 divided by 24.15 is approximately 0.29 when rounded to two decimal places.

The student has inquired about the result of the mathematical operation, division, specifically what is 7 divided by 24.15. To solve this question, you simply divide 7 by 24.15 on a calculator or by manual long division. The answer is approximately 0.29 when rounded to two decimal places. It should be noted that the exact quotient might vary depending on the number of decimal places you consider.

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Answer:

impossible!

Step-by-step explanation:

There is no solution! 0=0

Answer:

x = (y/4) - (3/2)

Step-by-step explanation:

y=4x+6  (subtract 6 from both sides)

y - 6 = 4x (divide both sides by 4 and rearrange)

x = (y-6) / 4

x = (y/4) - (6/4)

x = (y/4) - (3/2)

Answer:

The correct graph is attached below.

Step-by-step explanation:

Given:

Initial temperature is 0°.

Decrease in temperature per hour is 12°.

Since, the initial temperature is 0°, the line must pass through the origin as temperature is plotted along the y-axis.

Also, decrease in temperature per hour is 12°. So, this represents the slope of the line. So, the slope should be -12 as there is decrease in temperature with increasing time.

So, the correct graph will be a line passing through origin and the slope of the line must be -12. Also, the temperatures will be along the negative y-axis as the values are decreasing with time.

Hence, the third graph is the correct one and is shown below.

Answer:

Step-by-step explanation:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

m = [tex]\frac{1-3}{3-0}[/tex] = - [tex]\frac{2}{3}[/tex]

Answer:

1/12

Step-by-step explanation:

The whole circumference (i.e complete circle) is an arc which measures 360°

in our case, it is given that our arc measures only 30°

the fraction of our arc of 30° to the complete circle of 360° is

30/360

= 3/36

= 1/12

Answer:

Subtract equation 1 from equation 2

Step-by-step explanation:

Solve the following system:

{3 x + 4 y = 12 | (equation 1)

3 x = 2 y - 8 | (equation 2)

Express the system in standard form:

{3 x + 4 y = 12 | (equation 1)

3 x - 2 y = -8 | (equation 2)

Subtract equation 1 from equation 2:

{3 x + 4 y = 12 | (equation 1)

0 x - 6 y = -20 | (equation 2)

Divide equation 2 by -2:

{3 x + 4 y = 12 | (equation 1)

0 x+3 y = 10 | (equation 2)

Divide equation 2 by 3:

{3 x + 4 y = 12 | (equation 1)

0 x+y = 10/3 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{3 x+0 y = (-4)/3 | (equation 1)

0 x+y = 10/3 | (equation 2)

Divide equation 1 by 3:

{x+0 y = (-4)/9 | (equation 1)

0 x+y = 10/3 | (equation 2)

Collect results:

Answer:  {x = -4/9 , y = 10/3

The measure of the angle 1 for the given figure is 61 degree.

Hence the correct option is (A).

From the given figure we have two parallel lines and a transversal which intersects them.

The 119 degree angle and the angle above the angle 1 are corresponding angles, so they are equal.

And the angle above angle numbered 1 and the angle numbered 1 are straight line angles, so the sum of them is 180 degrees.

119 + angle 1 = 180

angle 1 = 180 - 119

angle 1 = 61

Hence the measure of the angle 1 for the given figure is 61 degree.

Hence the correct option is (A).

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Answer:

B) 16x+11/4 =4x+5-2

Step-by-step explanation:

the equation that has no solution is B)[tex]\( \frac{16x + 11}{4} = 4x + 5 \).[/tex]

The correct option is (B).

To find out which equation has no solution, let's solve each equation and see if any leads to a contradiction.

A)[tex]\( \frac{10x + 5}{2} = 3x + 6 \)[/tex]

  Multiply both sides by 2 to eliminate the fraction:

[tex]\( 10x + 5 = 6x + 12 \)[/tex]

  Subtract (6x) from both sides:

[tex]\( 4x + 5 = 12 \)[/tex]

  Subtract 5 from both sides:

  ( 4x = 7 )

  Divide both sides by 4:

[tex]\( x = \frac{7}{4} \)[/tex]

B) [tex]\( \frac{16x + 11}{4} = 4x + 5 \)[/tex]

  Multiply both sides by 4:

[tex]\( 16x + 11 = 16x + 20 \)[/tex]

  Subtract (16x) from both sides:

  ( 11 = 20 ) - Contradiction

C) [tex]\( \frac{8 - 6x}{4} = 4 + 2x \)[/tex]

  Multiply both sides by 4:

  [tex]\( 8 - 6x = 16 + 8x \)[/tex]

  Subtract 8 from both sides:

[tex]\( -6x = 8x + 8 \)[/tex]

[tex]\( -6x = 8x + 8 \)[/tex]

[tex]\( 0 = 14x + 8 \)[/tex] - Contradiction

D)[tex]\( \frac{18x - 10}{2} = 9x - 5 \)[/tex]

  Multiply both sides by 2:

 [tex]\( 18x - 10 = 18x - 10 \)[/tex] - No contradiction, the equation holds true for all ( x ).

So, the equation that has no solution is B)[tex]\( \frac{16x + 11}{4} = 4x + 5 \).[/tex]

complete question given below:

Which equation has NO solution?

A) (10x+5)/2 =3x+6

B) (16x+11)/4 =4x+5

C) (8-6x)/4 =4+2x

D) (18x-10)/2 =9x-5

Answer:

The quantity of currency  in the pockets does Stephanie has is 45 nickles and 10 dims  .

Step-by-step explanation:

Given as :

The total amount of money does Stephanie have = $ 3.25

The total money is in the form of nickels and dimes

Let the number of nickels = n

And The number of dims = d

∵ we know that 20 nickles makes 1 dollar

And 10 dimes makes 1 dollar

So , in total of 3.25 dollar the number of dime and nickles be

∵ 20 nickles makes 1 dollar

∴ 45 nickles will makes [tex]\frac{1}{20}[/tex] × 45 dollar

I.e 45 nickles will makes 2.25 dollar

Now, ∵ 10 dimes will make 1 dollar

So, The total number of nickles and dimes satisfying equation

45 nickles + 10 dimes = 2.25 dollar + 1 dollar = 3.25 dollar

Hence The quantity of currency  in the pockets does Stephanie has is 45 nickles and 10 dims  . Answer

Answer:

4.40

Step-by-step explanation:

The amount of money Ivan has in his pocket is n.

Meg has $3.25 more than Ivan. Meg has $7.65.

Complete the equation that models the situation. Then, give the value of n.

$3.25

÷

+

$7.65

×

$10.90

$4.40

Answer:

3.6875

Step-by-step explanation:

Answer:

3.6875

Step-by-step explanation:

First, let's leave 3 alone since its a whole number. So now we're dividing the actual fraction. Remember that the top dog goes under, which means that the place where the numerator goes is where the dividend should be, and the denominator is where the divisor should be. Add a decimal point and then after that a few zeros to the 11. Divide like a decimal. You should get 0.6875. Now take that 3 that we left alone before and add it, so you should get 3.6875.

The fraction of the whole sandwich she ate is [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The given is:

We need to find What fraction of the whole sandwich she ate

∵ The remaining of the whole sandwich in the refrigerator is [tex]\frac{3}{4}[/tex]

∵ Sierra cuts the remaining part into 3 equal parts

- That mean divide [tex]\frac{3}{4}[/tex] by 3

∴ Each part = [tex]\frac{3}{4}[/tex] ÷ 3

- Replace ÷ by × and reciprocal 3

∴ Each part = [tex]\frac{3}{4}[/tex] × [tex]\frac{1}{3}[/tex]

∴ Each part = [tex]\frac{1}{4}[/tex] of the whole sandwich

∵ She ate two of them

∴ She ate = 2 × [tex]\frac{1}{4}[/tex] = [tex]\frac{2}{4}[/tex]

- Divide up and down by 2 to simplify it

∴ She ate = [tex]\frac{1}{2}[/tex] of the whole sandwich

The fraction of the whole sandwich she ate is [tex]\frac{1}{2}[/tex]

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Answer:

250 berries

Step-by-step explanation:

10 to 1 means 10 times as many berries as oranges

25x10=250

If there are 25 oranges then the number of berries would be​ 250 and this can be determined by using the arithmetic operations.

Given :

The ratio of berries to Oranges is 10:1.

The following steps can be used to determine the number of berries if there are 25 oranges:

Step 1 - Let the total number of berries be 'a' and the total number of oranges be 'b'.

Step 2 - As per the given data:

[tex]\dfrac{a}{b}=\dfrac{10}{1}[/tex]

Step 3 - If there are 25 oranges then the number of berries would be:

[tex]\dfrac{a}{25}=\dfrac{10}{1}[/tex]

[tex]a = 25\times 10[/tex]

a = 250

So, if there are 25 oranges then the number of berries would be​ 250.

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According to the map, each line is 10 feet.

A is 4 lines from the one marked 30 ft.

4 x 10 = 40 feet.

30 +40 = 70 feet.

The answer is 70 feet.