Ming bought 40 pencils and Catherine bought 24. If each package of pencils sold at the store contain the same number of pencils, what is the largest possible number of pencils in a package?

Answer:  A) ΔABD ≡ ΔECD

Step-by-step explanation:

Match up the letters of the congruent sides.

AD = ED      and    BD = CD

A D                        B D           →     ABD

E D                        C D           →     ECD

This can be written in any order as long as the letters are matched properly.   A & E,   D & D,   B & C

ADB          or        BDA       or     ...

EDC                      CDE

The only correct option provided is option A.

Answer:

Answer is option 1)

Answer is given below with explanations.

Step-by-step explanation:

[tex]triangle \: ABD \: and \: triangle \:ECD \: are \: congruent \\ length \: of \: BD \: = \: length \: of \: CD \\ \: and \: also \\ length \: of \: AD = length \: of \: ED \\ angle \: BDA \: = \: angle \: CDE \\ by \: \: side \: - angle - side \: postulate \\ triangle \: ABD \: and \: triangle \:ECD \: are \: congruent.[/tex]

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Answer:

2.24 s

Step-by-step explanation:

Given:

Δy = 80 ft

v₀ = 0 ft/s

a = 32 ft/s²

Find: t

Δy = v₀ t + ½ at²

80 ft = (0 ft/s) t + ½ (32 ft/s²) t²

t = 2.24 s

Answer:

x^2-3x-54

Step-by-step explanation:

Once again FOIL is the way to go!

First, Outside, Inside, Last

x^2-3x-54

Answer:

[tex]x^2-3x-54[/tex]

Step-by-step explanation:

=> (x+6)(x-9)

USING FOIL

=> [tex]x^2-9x+6x-54[/tex]

=> [tex]x^2-3x-54[/tex]

Answer:

F distribution test

Step-by-step explanation:

He would use the F distribution test. This test is used in comparing the variances of two categorical variables if they are equal. The null hypothesis is rejected if after carrying out the test the results states otherwise.

Answer:

Two Portions!!!

Step-by-step explanation:

Answer: 20 names from each grade

Step-by-step explanation:

The two answers it comes down to are between every student from all of her classes and 20 students from each grade, however since the poll wants to determine how many people across the entire student body would attend, pulling from just Miranda's classes would add a grade level bias to the dance and would not be entirely random. 20 students from each grade is completely unbiased and properly represents the entire student body.

Answer:

20 names each grade

Step-by-step explanation:

Step-by-step explanation:

The tables rule is y = x²+x.  Thus, the three missing boxes from top to bottom are 6, 5, and 2.  Two other rows could be x = 13, y = 182, and x = 0, y = 0.

Hope it helps <3

Answer:

2a + 8√b

Step-by-step explanation:

√9a² = 3a

√49b = 7√b

and

3a + 7√b - a + √b = 2a + 8√b

Answer:

second one

Step-by-step explanation:

The output is result we get after applying a rule or a relation

In a function it's labelled y and we get it by inputting a value in the function

The second function fits the definition of an output

Answer:

an output is a special type of of relation for which there is a rule that pairs each input with one output

Answer:

75%

Step-by-step explanation:

There are 6 numbers that fit the rule, 1, 2, 3, 4, 6, 8. Since there are a total of 8 numbers, there is a 6/8 chance picking one or 75% chance.

Answer:

50%

Step-by-step explanation:

so the original fraction is 4/8 or 1/2 so it is 50%.

Answer:

Step-by-step explanation:

Mean is defined as the ratio of the total sum of all the given datas to the total number of data present. It is expressed mathematically as;

[tex]\overline x = \frac{ \sum Xi}{N}[/tex] where;

[tex]\overline x = mean\\Xi= individual \ data\\N = total\ amount\ of \ data[/tex]

Given N = 7

[tex]\overline x = \frac{15+12+5+14+4+4+6}{7}[/tex]

[tex]\overline x= \frac{60}{7} \\\overline x = 8.57[/tex]

The mean number of cousins is 8.57

Answer:

33.33%

Step-by-step explanation:

use a proportion

20/60 =10/30=1/3=33.333%

hope this helped!

Answer:

Rainfall: Continuous

Soil type: Discrete

Voting districts:Discrete

Temperature:Continuous

Elevation: Continuous

Vegetation type:Discrete

Step-by-step explanation:

Discrete data is one that involves round, definite numbers that can be determined by just counting whereas continuous data is one that involves complex numbers that are usually measured across a specific time interval. In a nutshell, we can say that discrete data is one that is counted while continuous is one that is measured.

Rainfall: This will be considered as a continuous data because it can't be counted in a definite number but can only be measured over a long period of time.

Soil type: This is Discrete because it can be counted. We can count the number of soil types we have in different areas.

Voting districts: This is Discrete because we can count the number of districts we have at any given time.

Temperature: This is Continuous because temperature cannot be counted but measured by the use of a thermometer.

Elevation: This continuous because it can't be counted as a number but measured.

Vegetation type: This is Discrete as we can count the number of places that have a particular vegetation type.

Answer:

12   1/2

Explanation:

6  1/4 ÷ 2

= 25/4 × 2/2

= 25 × 2  ÷ 2

= 12  1/2

Answer:

45°

Step-by-step explanation:

The value of "a" is 45°

both are congruent angles

Answer:

2,973 in^3

Step-by-step explanation:

3000- large section

27- smaller center cut-out

Answer:

2973 in³

Step-by-step explanation:

volume of cuboid - volume of cube

20*15*10 - 3³

3000 - 27

= 2973

The volume of the aquarium is 2973 in³.

Answer:

1/13 chance or roughly 7.7% chance.

Step-by-step explanation:

There are 4 Kings in a standard 52-card deck. If one King was to be pulled out, you'd get a probability of 4/52 chance of pulling a king. Simplified, 4/52 is  1/13 chance.

Answer:

The expected value is also known as the expectation, mathematical expectation, mean, average, or first moment.

Answer:

gradient=4      y intersept: B(0;-2)   Point (1;12) doesn't lie on y=3x+8

(-2,10) lies on the line  y=14+2x

Step-by-step explanation:

2y=8x+1 => divide both sides by 2=> y=4x+1/2  => gradient = 4

4y+8x= -8 => 4y= -8-8x => y=-2-2x   . -2 - I indicated this number with the bold ( this ratio is the y coordinate of y- intersept. x coordinate=0

So the y-intersept is (0;-2)

We have a point (1;12)   1 is x coordinate of the point and 12 is y coordinate.

Put 1 and 12 instead x and y in the given formula. If we get the correct expression => the point lies on the line, if the expression is false=> doesn't lie on the line.

Now lets check !

12=3*1+8

12=  11  - false => the point  (1;12) doesn't lie on y=3x+8

Similarly proceed:  10=14+2*(2)

10=14-4

10=10 - right ! Point (-2;10)  lies on y=14+2x

Answer:

n > 1700

Step-by-step explanation:

n ÷ 4 – 125 > 300

Add 125 to both sides.

n ÷ 4 > 425

Multiply both sides by 4.

n > 1700

Answer:

n > 1700

Step-by-step explanation:

n ÷ 4 - 125 > 300

Add 125 to both parts.

n ÷ 4 > 300 + 125

n ÷ 4 > 425

Multiply both sides with 4.

n > 425 × 4

n > 1700

Answer:

(-1, 0) and (6, 0)

Step-by-step explanation:

[tex]y=6x+6\\y=-x^2+5x+6\\\\6x+6=-x^2+5x+6\\6x=-x^2+5x\\x=-x^2[/tex]

The solutions for these equations are (-1, 0) and (6, 0).

Answer:

Last option.

Step-by-step explanation:

x = -1

y = 6(-1) + 6

y = -6 + 6

y = 0

( -1, 0 )

x = 0

y = -(0)² + 5(0) + 6

y = 0 + 0 + 6

y = 6

( 0, 6 )

Answer:

=√29

Distance between (4,7) and (2,2) :   =√29

Steps:

Compute the distance between (ˣ1,y1) , (ˣ2,y2) :  √ (₂-ˣ1) ² + (y₂-y₁)²

The distance between (4,7) and (2,2) is

= √ ( 2-4) ² + (2-7)²

√ ( 2-4) ² + (2-7) ² =√29

=√29

Please mark brainliest

Hope this helps.

Answer:

A. 1/4,389

B. 728/4,389

Step-by-step explanation:

Total number of flanges = 22

Defective flanges = 6

Non-defective flanges = 16

A. The probability that all in the sample are defective is given by:

[tex]P(d=5)=\frac{6}{22}*\frac{5}{21}*\frac{4}{20}*\frac{3}{19} *\frac{2}{18}\\P(d=5)=\frac{1}{11}*\frac{1}{7}*\frac{1}{1}*\frac{1}{19} *\frac{1}{3}\\P(d=5)=\frac{1}{4,389}[/tex]

The probability is 1/4,389.

B. The probability that none in the sample are defective is given by:

[tex]P(d=0)=\frac{16}{22}*\frac{15}{21}*\frac{14}{20}*\frac{13}{19} *\frac{12}{18}\\P(d=0)=\frac{4}{11}*\frac{1}{7}*\frac{7}{1}*\frac{13}{19} *\frac{2}{3}\\P(d=0)=\frac{728}{4,389}[/tex]

The probability is 728/4,389.

Answer:

πd or 2πr

Step-by-step explanation:

To calculate the circumference of a circle, multiply the diameter of the circle by pi or multiply 2 times the radius times pi.

Hope that helps.

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               Hi my lil bunny!

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Write down the formula for finding the circumference of a circle using the diameter. The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi. Plugging π into your calculator will give you its numerical value, which is a closer approximation of 3.14 or 22/7.

                                            ` OR `

Plug the given value of the diameter into the formula and solve.[2]

Example problem: You have a circle tub with a diameter of 8 feet, and you want to build a white fence that creates a 6-foot wide space around the tub. To find the circumference of the fence that has to be created, you should first find the diameter of the tub and the fence which will be 8 feet + 6 feet + 6 feet, which will account for the entire diameter of the tub and fence. The diameter is 8 + 6 + 6, or 20 feet. Now plug it into the formula, plug π into your calculator for its numerical value, and solve for the circumference:

C = πd

C = π x 20

C = 62.8 feet

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Hey there! :)

Answer:

Has one solution.

(Graphed below)

Step-by-step explanation:

***The equations are graphed below, but this can also be solved algebraically.***

Set each equation equal to each other:

-6x + 6 = -3x - 3

Add 6x to both sides:

6 = 3x - 3

Add 3 to both sides:

9 = 3x

x = 3.

Plug in the value of x into an equation to solve for y:

y = -6(3) + 6

y = -18 + 6

y = -12.

The system of equations only has ONE solution at (3, -12).

On the graph, as well, the point of intersection is at (3, -12). This is the solution.

Answer:

6/5

Step-by-step explanation:

you have to flip the numerator and denominator. If it is 5/6 then it would be 6/5.

The reciprocal fraction that is required will be 31/26.

A fraction is a numerical number that is represented in the numerator and denominator form.

We have Two mixed fractions, the First fraction = 4(1/3) and the Second fraction =  5(1/6).

Now,First, convert mixed fractions into simple fractions,i.e.First fraction  = 4(1/3) = 13/3And,Second fraction = 5(1/6) = 31/6

Now, According to the question,

Divide First fraction by Second fraction;i.e.= (13/3) / (31/6)Now simplify,= ( 13 × 6) / (31 × 3)

Now, We get,= 26/31

So, the reciprocal fraction = 31/26.

Hence we can say that the reciprocal fraction that is required will be 31/26.

To learn more about fractions click here,https://brainly.com/question/10354322

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Answer:

D. BDCA

Step-by-step explanation:

B Start with the segment with point P. Center the compass at P and, with the same radius, strike two marks on the line on both sides of point P. Call these point A and D.

D Center the compass at D open the compass to a radius greater than the length DP.

C Draw an arc above segment CD. Center the compass at C, and using the same radius, draw another arc above segment CD that intersects the previous arc.

A Draw a line from the point of intersection of the arcs to point P. The is the perpendicular to line AB through point P.

Answer: BDCA

Answer: BDCA

Step-by-step explanation:

Start from point B.

Measure the distance BD.

Draw intersecting arcs of this distance from points C and point D above the line. Name this point E.

Join B and E to draw the perpendicular segment

Answer:

Combine like terms; 3x + 5x= 8x

Since you don't have any like terms for +8, it's going to remain the same and not change.

Answer : 3x + 5x + 8 = 8x + 8

Again with combining like terms, 4x + 4x = 8x  

Answer: 4x + 4x = 8x

The third expression is going to be very similar to the last problem. 4x + 4x + 4x + 4x. We're going to add the terms together. 4+4+4+4 is equal to 16. Bring the x down and you get...

Answer: 16x

Lastly, we have -7x + 4 + 3x. Do the exact same thing we did to the other problems, combining like terms, shocking, I know. -7x + 3x= -4 and since there's no other like terms for +4, it stays the same. Therefore

Answer: -7x + 4 + 3x = -4 + 4

I hope this helps, mark as brainliest, please? :)

Explanation:

The sample proportion 0.617 is at the exact midpoint of the interval from  0.572 to 0.662

We can confirm this by applying the midpoint formula.

The distance from the center (0.617) to either endpoint will be the margin of error. In other words, it is half the width of the confidence interval

L = lower boundary of confidence interval = 0.572

C = center of confidence interval = 0.617

U = upper boundary of confidence interval = 0.662

We have three methods to find the confidence interval

Each yielding the same result of 0.045

With the third method, you don't need to know the center of the confidence interval.