WidgCo is a company that manufactures widgets. It is known that 1 out of every 48 widgets that the company produces is defective. A batch of 150 widgets is produced. Find the mean (average) number of defective widgets in a batch of 150 widgets.

The key here is to not worry too much and just follow PEMDAS.

Here we have the expression \((5\cdot 7)^2\).  Following PEMDAS, we complete the expression inside the parentheses first, or \(5\cdot 7 = 35\). This gives us \((35)^2\) or just \(35^2.\)

Hope this helps.

Answer: 519 120

Step-by-step explanation:

84*84=7056

7056/7=1008

1008*515=519 120

The possible values for the discriminant include the following:

A. -1

D. -18

In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).

Since the graph of this quadratic function has no x-intercepts, we can logically deduce that the zeros, roots, or x-intercepts of this quadratic function must be an imaginary number.

Discriminant, D = b² - 4ac

In conclusion, we can reasonably infer and logically deduce that negative numbers such as -1 and -18 are possible values for the discriminant.

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Complete Question:

The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.

A. -1

B. 3

C. 0

D. -18

Answer:

19. RE = 12

20. EB = 24

Step-by-step explanation:

19. Determination of RE

HE = 24

RE =?

From the diagram given above, we can conclude that:

HE = 2RE

24 = 2RE

Divide both side by 2

RE = 24 / 2

RE = 12

20. Determination of EB.

YB = 12

EB =.?

From the diagram given above, we can conclude that:

EB = YB

EB = 2 × 12

EB = 24

Answer:

6=A. , 7 =C

Step-by-step explanation:

6.

-7+h=12

or, h=12+7

or, h=19(A)

7.

g - 8=-24

or, g=-24+8

or, g=-16 (C)

Answer:

Step-by-step explanation:

6a and 7c

Answer:

G

Step-by-step explanation:

Distribute the -7 to 4x and -5

Answer:

Hey!

The answer is

When you multiply them you get

\(-28x^{2} + 35\)

Step-by-step explanation:

it's 54 ounces.........

Answer:

375%

Step-by-step explanation:

15 ÷ 4 = 3.75

3.75 x 100

= 375

Answer: 375%

Step-by-step explanation:

15/4

Write as a decimal fraction

375/100

By definition p/100 = p%

375%

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Answer: 368/15

Step-by-step explanation:

Answer:

it is 1.2 which is in a fraction is 1 1/5

Step-by-step explanation:

When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.

When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.

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The algebraic expression -19c - 4c + 9 + 16​ when simplified is -23c + 25

From the question, we have the following parameters that can be used in our computation:

-19c-4c+9+16​

Express properly

So, we have

-19c - 4c + 9 + 16​

Evaluate the like terms

This gives

-19c - 4c + 9 + 16​ = -23c + 25

Hence, the algebraic expression when simplified is -23c + 25

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Answer:

0.24

Step-by-step explanation:

To find the reciprocal of a fraction, switch the numerator and the denominator the top and bottom of the fraction, respectively. So, simply speaking, the reciprocal of a/b is b/a. To find the reciprocal of a number, divide 1 by the number.

The length of the rectangular pyramid is 4 units.

For a rectangular pyramid of length L, width W, and height H, the volume is given by:

V = L*W*H/3

in this case we know that the volume is 56 cubic units, and that:

Height=7

Width=6

Length=x

Replacing all of that in the equation above we will get:

56 = x*6*7/3

56 = 14x

56/14 = x

4 = x

The length is 4 units.

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Answer:

17.6 minutes

Step-by-step explanation:

\(\frac{4}{5} = \frac{x}{22}\)

\(5x=22\)

\(x=\frac{22}{5}\)

\(4(\frac{22}{5} ) = \frac{88}{5} = 17.6\)

Answer:

28.3 cm

Step-by-step explanation:

The formula to find the circumference is 2•π•radius. The diameter is 9 cm, so the radius is 9/2 = 4.5 cm. So, the circumference is:

2•4.5•3.14 = 28.26 ≈ 28.3 cm

Number of car sold are 98.

Number of trucks sold are 66.

Given,

Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .

Let number of cars sold are x.

Let number of cars sold of y .

Now,

For dealership 1 equation will be,

x + y = 164  ......(1)

For dealership 2 equation will be,

As the cars are sold twice and trucks are sold half .

2x + y/2 = 229......(2)

Solving 1 and 2,

y = 66

x = 98

Thus number of car sold are 98.

Thus number of trucks sold are 66.

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The probability that a randomly selected riverside high school student is in twelfth grade is 0.4

The complete question is in the attached image

From the image, we have:

The probability is then calculated as:

P = 200/500

Divide

P = 0.4

Hence, the probability that a randomly selected riverside high school student is in twelfth grade is 0.4

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Answer:

the answer is C

Step-by-step explanation:

Answer:

19.25

Step-by-step explanation:

19.25 is going to be your constant, or k if I must say. That means that you would simply input 19.25 into the equation to make y=19.25x

hope that made sense!

The probability of selecting 3 boys for the relay team given that the first selection was a girl is approximately 0.055945 or 8/143.

Probability is a way to gauge how likely or unlikely something is to happen. It is denoted by a number between 0 and 1, with 1 denoting a certain event and 0 denoting an impossibility.

Let's start by calculating the probability of selecting a girl first. Since there are 7 girls and 14 team members in total, the probability of selecting a girl first is:

P(Girl first) = 7/14 = 1/2

Now, we need to calculate the probability of selecting 3 boys from the remaining 13 team members (6 boys and 7 girls). We can do this using combinations:

Number of ways to select 3 boys from 6 = C(6,3) = 20

Number of ways to select 1 girl from 7 = C(7,1) = 7

Total number of ways to form a relay team of 4 from 13 = C(13,4) = 715

Therefore, the probability of selecting 3 boys from the remaining 13 team members is:

P(3 boys from 13) = (20*7)/715 = 4/143

Finally, we can use conditional probability to calculate the probability of selecting 3 boys given that the first selection was a girl:

P(3 boys | Girl first) = P(3 boys from 13)/P(Girl first)

= (4/143)/(1/2)

= 8/143

= 0.055944...

Rounded to the nearest millionth, the probability is 0.055945.

Therefore, the probability of selecting 3 boys for the relay team given that the first selection was a girl is approximately 0.055945 or 8/143.

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Answer:

The length = 35 ; The width = 12

Step-by-step explanation:

Perimeter = 2L + 2W

Length = x

Width =  x - 23

94 = 2(x)  + 2(x - 23)

94 = 2x + 2x - 46

94 = 4x - 46

94 + 46 = 4x

140 = 4x

140/4 = x

35 = x           The length = 35; The width = (35 - 23) =  12

Answer: -9 1/3

Step-by-step explanation: 2x + 1 + x = -27

3x +1 = =-27

3x = -28

x = -9 1/3

The implications of Constructivist approach in teaching mathematics is that it helps the students to develop a better way to comprehend the content of what they are being taught.

A constructive approach of teaching mathematics believes that students construct knowledge rather than just passively take in information.

A constructive approach of teaching also believes that students integrate new knowledge with existing knowledge to create a deeper understanding of the mathematics being taught to them.

Therefore, constructive approach of teaching can help the students to comprehend the content of what they are being taught.

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Answer:

\(\frac{dP}{dt} \ =\ \frac{1}{5}P\)

Step-by-step explanation:

Given

Variation: Directly Proportional

Insects = 10 million when Rate = 2 million

i.e. \(P = 10\ million\) when \(\frac{dP}{dt} = 2\ million\)

Required

Determine the differential equation for the scenario

The variation can be represented as:

\(\frac{dP}{dt} \ \alpha\ P\)

Which means that the rate at which the insects increase with time is directly proportional to the number of insects

Convert to equation

\(\frac{dP}{dt} \ =\ k * P\)

\(\frac{dP}{dt} \ =\ kP\)

Substitute values for \(\frac{dP}{dt}\) and P

\(2\ million = k * 10\ million\)

Make k the subject

\(k = \frac{2\ million}{10\ million}\)

\(k = \frac{2}{10}\)

\(k = \frac{1}{5}\)

Substitute \(\frac{1}{5}\) for k in \(\frac{dP}{dt} \ =\ k * P\)

\(\frac{dP}{dt} \ =\ \frac{1}{5}* P\)

\(\frac{dP}{dt} \ =\ \frac{1}{5}P\)

Let the number of months it will take be n.

From the question, 2 assistant caregivers are hired every month.

So the total number of assistant caregivers in n months is 1 + 2n

From the question, 1 senior caregiver is hired every month.

So the total number of senior caregivers in n months is 12 + n

Since n is the number of months when the number of assistant caregivers equals the number of senior caregivers

Then

12 + n = 1 + 2n

12 - 1 = 2n -n

Which implies that n = 11.

12 + n = 12 + 11 = 23

Hence, there are 23 of each type and it will take 11 months

Answer:

angle a: 70°

angle d: 70°

angle dce: 35°

x: 15m

y: 14m

Step-by-step explanation:

all triangles add to 180° so 35 + 75 = 110 and 180-110 = 70

where the two triangles connect and cross, the angles will be the same so it will have the same angle measures as the first triangle which makes the triangles similar

knowing that they are similar triangles will help with figuring out the lengths of the sides.

since they are similar, their sides will be proportional, we just need to figure out the ratio

if we lay the triangles on top of each other, the two 75° angles match up and therefore the sides do too so we can make a fraction 12/18 = 10/x

now we can solve for x

multiply both sides by x

12x/18 = 10

now multiply both sides by 18

12x = 180

divide both sides by 12

x = 15

now we do the same for y

12/18 = y/21

12*21/18 = y

y = 14

hope this helps!

Answer:

8000 and 12000 respectively

Step-by-step explanation:

Let the amount invested in first account be x and y be the amount invested in the second account.

ATQ, x+y=20000 and 1280=(7/100)*x+(6/100)*y

x=8000 and y=12000.

Answer: x = √-6 - 4

Step-by-step explanation:

x^2+8x+22=0

(x+4)^2 - 16 + 22 = 0

(x+4)^2 + 6 = 0

(x+4)^2 = -6

√(x+4)^2 = √-6

x = √-6 - 4            

√6 = 2.449

Answer: y = 12.6

Step-by-step explanation:

Since x = 2 and y = 6.3 * x, y = 6.3 * 2.

6.3 * 2 is equal to 12.6, so y is 12.6.

Answer:

y = 12.6

Step-by-step explanation:

y = 6.3x                     x = 2

Solve for y.

y = 6.3(2)

y = 12.6

So, the answer is 12.6