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2 years ago

Of the students in sixth grade, 3/4 pack their lunch. What percent of students pack their lunch

Mathematics

2 answers:

liberstina [14]2 years ago

8 0

Answer:

See below.

Step-by-step explanation:

75% of students pack their lunch. 3/4 as a decimal is 0.75. 0.75 as a percentage is 75%.

-hope it helps

nydimaria [60]2 years ago

3 0

Answer: 75%

Use division to convert the fraction to a decimal: 3/4 = 3 ÷ 4 = 0.75.

Multiply by 100 to get percent value: 0.75 × 100 = 75%

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A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

6 0

3 years ago

a school had 690 students sign up for the trivia teams if they wanted to have nine teams with the same number of students on eac

Anna11 [10]

Answer:

30 more students

Step-by-step explanation:

690 + 30 = 720

720 / 9 = 80

8 0

3 years ago

Write an equation for the function that includes the following points (2, 32) and (3, 64)

luda_lava [24]

Answer:

y=32x-32

Step-by-step explanation:

this time no algorithm or equation was needed i saw that if the equation was y=32x there would be ordered pairs (1,32) and (2,64) so to delay it by 1 on the x side just subtract the slope from the y - intercept sorry if that doesn't make sense

6 0

3 years ago

Help! Geometry Triangle Congruence

Feliz [49]

Answer:

Step-by-step explanation:

Thank your for revising and improving the image.

Assuming DF is a straight line,

Given E is the mid-point of DF

mCE = mGF

CE || GF

Then

mDE = mEF (E midpoint of DF)

Angle DEC = Angle EFG (corresponding angle, DF transversal of parallel lines CE and GF)

mCE = mGF (given)

Then triangles DCE and EGF are congruent by reason SAS (side-angle-side)

7 0

3 years ago

What’s the explanation

Viktor [21]

Answer:

x³ + 2x² - 19x - 20

Step-by-step explanation:

x + 1 = 0

x = -1

Substitute x = (-1) in the polynomial

x³ + 2x² - 19x - 20 = (-1)³ + 2*(-1)² - 19 *(-1) - 20

= -1 + 2 +19 - 20

= -1 - 20 + 2 + 19

= -21 + 21 = 0

So, (x + 10 ix a factor of x³ + 2x² -19x - 20

4 0

3 years ago