Answer:
[tex]1.073\times 10^{19}\ \text{ways}[/tex]
Step-by-step explanation:
It is given that,
Total no of candy are 84
She want to divide the candy up evenly and place into bags but doesn’t won’t more than 20 bags.
We need to find the possible ways she can fill the bag. It mean that this problem is based on the concept of combination.
[tex]^{84}C_{20}=\dfrac{84!}{20!(84-20)!}\\\\=\dfrac{84!}{20!64!}\\\\=1.073\times 10^\\{19}[/tex]
There are [tex]1.073\times 10^{19}\ \text{ways}[/tex].
Use the box-and-whisker plot shown to answer the following question.
What is the interquartile range?
A. 4
B. 6
C. 9
Answer:
15-9=6 So the answer is B. 6
Simplify 4(x + 40) +2(x -3) plsss help
Answer:
6x + 154
Step-by-step explanation:
4(x + 40) +2(x -3) =
4x + 160 + 2x - 6 =
6x + 154
Answer:
2(3x + 77)
Step-by-step explanation:
4(x+40)+2(x-3)
4x+160+2x-6
6x+154
=2(3x+77)
The product of 21 and 5291 equals 111,111
Find two other whole numbers that have the
product 111,111.
b. Find two whole numbers that have the product
222,222.
Find two whole numbers that have the product
555,555.
Answer:
a
Step-by-step explanation:
The difference of four times a number and six is two. Find the number
Step-by-step explanation:
4(x-6)=2
4x-24=2
4x=2+24
4x=28
x=7
Xavier is building a triangular fence the length of the second side will be 1 foot longer than the length of the first side the length of the third side will be 1 foot longer than the length of the second side the total perimeter of the triangle will be 63 feet what will the length of the third side B
Answer:
22
Step-by-step explanation:
A father earns a $2000 dividend from an oil investment and
distributes it equally amongst his children.
Answer:
To divide the money evenly, without him taking any, use the formula in which x is the amount of children.
2000/x
It's that simple!
2000 dollars divided by x children.
I'm sorry if I misunderstood.
Good luck mate! :)
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Which polynomials can be factored using the binomial theorem? Check all that apply. x2 + 20x + 400 x2 + 40x + 400 x3 – 3x2 + 9x – 27 x3 – 9x2 – 27x – 27 256x4 – 64x3 + 16x2 – 4x + 1 256x4 – 256x3 + 96x2 – 16x + 1
Answer:
(x2 - 5x + 7) • (x - 4)
Step-by-step explanation:
Answer:
SECOND AND LAST ONE
x2 + 40x + 400
256x4 – 256x3 + 96x2 – 16x + 1
Step-by-step explanation:
A Poker hand consisting of five cards is dealt from a deck of fifty two cards. What is the probability that the Poker hand consists of four spades and one heart?
Answer: 108336
Step-by-step explanation:
given data:
cards on deck = 52
Since 2 queens are supposed to be in the 5 card hand. Therefore, 2 queens are choosen since we have a total of 4.
Since 2 Queens have been chosen already choosen. we are left with 3cards out of the hand of 5. This cards are to be choosen from the 48 remaining cards. Similarly same process would be used for other combination of playing cards.
(42∗483)+(43∗482)+(44∗481).
= (6 * 17296) + (4 * 1128 ) + (1 * 48)
= 103776 + 4512 + 48
=108336
James wrote the number 8,980,000 in
scientific notation. Which number did he
write?
A 8.98 x 10-6
C 89.8 x 105
B 8.98 x 10-5
D 8.98 x 106
To get 8.98, the decimal point is moved 6 places to the left. This means the exponent is positive 6
The answer is D. 8.98 x 10^6
Answer: the answer is d
Step-by-step explanation:
A space for storing boxes is 36 inches high. Each box is 6 inches high. A space of 9 inches must be left at the top. what is the maximum number of boxes that can be stacked in this space?
Answer:
Step-by-step explanation: 36-9 equals 27. You can only fit 4 evenly so thats the answer
The maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that the height of the space in which boxes are needed to be stored is 36 inches high. Also, the height of the box is 6 inches.
But a space of 9 inches must be left at the top. Therefore, the space left to keep the boxes is,
Space left to keep the boxes = 36 inches - 9 inches
= 27 inches
Now, the number of boxes that can be put in the leftover space is,
Number of boxes = 27 inches / 6 inches
= 4.5
Since a half box can be placed in the space, therefore, the number of boxes that can be in the space is 4.
Hence, the maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.
Learn more about Division here:
https://brainly.com/question/369266
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A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7.
Suppose you want to scale the copy back to its original size. What scale factor should you use?
Answer:
1/7.
Step-by-step explanation:
You use the inverse of 7 which is 1/7.
In order to back to its original size, we need to take a scale factor of 1/7.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
For example, 50 meters is very big so we cannot measure it but if we can convert it into 50 mm such that the scale ratio is maintained then it will be easy to draw.
If the rectangle is scaled by scale factor 7 it means it is plotted 7 times big such that a 7:1 scale factor maintain.
Now if we want to see the original rectangle then we need to take 7 times lower than that so a 1/7 scale factor is going to use.
Hence "In order to back to its original size, we need to take a scale factor of 1/7".
To learn more about scale factors,
brainly.com/question/22312172
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Wich compound inequality is graphed below?
Answer:
the third one: -15 <= 4x-3 < 5
my account isnt working can you please look at it s
Answer:
What account are you talking about?
Step-by-step explanation:
what is. - 3 7/8 × - 4 3/5 help please
Answer:
713/40 or as mixed fraction of 17 33/40 (see setps below)
Step-by-step explanation:
Simplify the following:
-(3 + 7/8) (-(4 + 3/5))
Hint: | Multiply all instances of -1 in -(3 + 7/8) (-(4 + 3/5)).
(-1)^2 = 1:
(4 + 3/5) (3 + 7/8)
Hint: | Put the fractions in 3 + 7/8 over a common denominator.
Put 3 + 7/8 over the common denominator 8. 3 + 7/8 = (8×3)/8 + 7/8:
(4 + 3/5) (8×3)/8 + 7/8
Hint: | Multiply 8 and 3 together.
8×3 = 24:
(4 + 3/5) (24/8 + 7/8)
Hint: | Add the fractions over a common denominator to a single fraction.
24/8 + 7/8 = (24 + 7)/8:
(4 + 3/5) (24 + 7)/8
Hint: | Evaluate 24 + 7 using long addition.
| 1 |
| 2 | 4
+ | | 7
| 3 | 1:
(4 + 3/5)×31/8
Hint: | Put the fractions in 4 + 3/5 over a common denominator.
Put 4 + 3/5 over the common denominator 5. 4 + 3/5 = (5×4)/5 + 3/5:
31/8 (5×4)/5 + 3/5
Hint: | Multiply 5 and 4 together.
5×4 = 20:
((20/5 + 3/5)×31)/8
Hint: | Add the fractions over a common denominator to a single fraction.
20/5 + 3/5 = (20 + 3)/5:
31/8 (20 + 3)/5
Hint: | Evaluate 20 + 3.
20 + 3 = 23:
23/5×31/8
Hint: | Express 23/5×31/8 as a single fraction.
23/5×31/8 = (23×31)/(5×8):
(23×31)/(5×8)
Hint: | Multiply 5 and 8 together.
5×8 = 40:
(23×31)/40
Hint: | Multiply 23 and 31 together.
| 3 | 1
× | 2 | 3
| 9 | 3
6 | 2 | 0
7 | 1 | 3:
Answer: 713/40
________________________________________
Convert to a mixed number:
713/40
Hint: | Use long division to get a quotient and remainder.
Divide 713 by 40:
4 | 0 | 7 | 1 | 3
Hint: | How many times does 40 go into 71?
40 goes into 71 at most one time:
| | | 1 | |
4 | 0 | 7 | 1 | 3 |
| - | 4 | 0 | |
| | 3 | 1 | 3 |
Hint: | How many times does 40 go into 313?
40 goes into 313 at most 7 times:
| | | 1 | 7 |
4 | 0 | 7 | 1 | 3 |
| - | 4 | 0 | |
| | 3 | 1 | 3 |
| - | 2 | 8 | 0 |
| | | 3 | 3 |
Hint: | Summarize the results.
Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:
| | | 1 | 7 | (quotient)
4 | 0 | 7 | 1 | 3 |
| - | 4 | 0 | |
| | 3 | 1 | 3 |
| - | 2 | 8 | 0 |
| | | 3 | 3 | (remainder)
Hint: | In the equivalent mixed fraction, the quotient becomes the whole number part, the remainder becomes the numerator part, and the divisor (denominator) remains the denominator.
The quotient of 713/40 is 17 with remainder 33, so:
Answer: 17 33/40
Can someone please help me with this question? Thanks.
Answer:
f(x) = 3 + 5x
Step-by-step explanation:
For this problem, we can see a simple pattern whereas x increases by 1, y is increasing by 5.
This means that f(0) = 3.
And to create the function, we simply use f(0) summed with the increasing 5 multiplied by the input x.
Hence, we will create the function equation:
f(x) = 3 + 5x
Cheers.
460
Wrote this in word form and expanded form?
Answer:460 in word form: Four Hundred Sixty
460 in expanded form: 400+60
Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.α = 0.1 for a two-tailed test.a. ±1.645b. ±2.052c. ±1.4805d. ±2.33
Answer:
The critical z value used to test a null hypothesis is ±1.645.
Step-by-step explanation:
We are given that the data has a normal distribution and the number of observations is greater than fifty.
And we have to find the critical z value used to test a null hypothesis at α = 0.1 for a two-tailed test.
Firstly, as we know that to find the critical z value we need only the level of significance to be known.
Here, the level of significance is given = [tex]\alpha[/tex] = 0.10
But for the two-tailed test, the level of significance to be considered is given by = [tex]\frac{\alpha }{2}[/tex] = [tex]\frac{0.10}{2}[/tex] = 0.05 or 5%.
Now, in the z table; we can see that the critical z value at a 5% level of significance (for the two-tailed test) is given as 1.645.
Hence, the critical z value used to test a null hypothesis at α = 0.1 for a two-tailed test is ±1.645.
According to the z-distribution, the critical value is given by:
a. ±1.645
The critical value for a two-tailed test with a significance level of [tex]\alpha[/tex] is |z| such that -z has a p-value of [tex]\frac{\alpha}{2}[/tex].
In this problem, [tex]\alpha = 0.1[/tex], then [tex]\frac{\alpha}{2} = 0.05[/tex].
Looking at the z-table, z has a p-value of 0.05 for z = -1.645, hence the critical value is ±1.645A similar problem is given at https://brainly.com/question/18306091
If an objects mass is 10kg what is it’s weight?
Answer:
Weight varies with location depending upon the acceleration due to gravity eg. for a mass m = 10kg on Earth it`s weight is W = mg = 10 x 10 = 100N.
Step-by-step explanation:
sketch and label the figures described. Use dashes for hidden parts.
Answer:
this means that the figures given to you , sketch and label the ones described and use dashes for hidden one
Step-by-step explanation:
A number divided by eleven.
Answer:
Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11. Since -11 is divisible by 11, so is 2728.
Refer to the following distribution of commissions:______. Monthly Commissions Class Frequencies $600 up to $800 3 $800 up to 1,000 7 $1,000 up to $1,200 11 $1,200 up to $1,400 22 $1,400 up to $1,600 40 $1,600 up to $1,800 24 $1,800 up to $2,000 9 $2,000 up to $2,200 4 For the preceding distribution, what is the midpoint of the class with the greatest frequency?
Answer:
the midpoint of the class with the greatest frequency 1500
Step-by-step explanation:
The illustration of the dataset given can be well represented in a table format as shown below.
Class Frequency Relative Frequency
$600 - $800 3 [tex]\mathbf{ \dfrac{3}{120} = 0.025}[/tex]
$800 - $1000 7 [tex]\mathbf{ \dfrac{7}{120} = 0.059}[/tex]
$1000 - $1200 11 [tex]\mathbf{ \dfrac{11}{120} = 0.092}[/tex]
$1200 - $1400 22 [tex]\mathbf{ \dfrac{22}{120} = 0.183}[/tex]
$1400 - $1600 40 [tex]\mathbf{ \dfrac{40}{120} = 0.333}[/tex]
$1600 - $1800 24 [tex]\mathbf{ \dfrac{24}{120} = 0.2}[/tex]
$1800 - $2000 9 [tex]\mathbf{ \dfrac{9}{120} = 0.075}[/tex]
$2000 - $2200 4 [tex]\mathbf{ \dfrac{4}{120} = 0.033}[/tex]
Total 120 1
Therefore, the midpoint of the class with the greatest frequency is between $1400 - $1600 since the frequency 40 happens to be the greatest frequency
The midpoint =[tex]\dfrac{upper \ limit + \ lower \ limit}{2}[/tex]
The midpoint =[tex]\dfrac{1400+1600}{2}[/tex]
= 1500
A parallelogram has an area of 28 square feet and a height of 4 feet. What is its base?
Answer:
7
Step-by-step explanation:
The area for a parallelogram is given by the following formula:
[tex]A=bh[/tex]
Where b is the base and h is the height.
We already know the area is 28 and the height is 4. So, substitute:
[tex]28=4b[/tex]
Divide both sides by 4:
[tex]b=7[/tex]
So, the base length is 7.
Our answer is 7 :)
Hey there! I'm happy to help!
The area of a parallelogram is just the base multiplied by the height. If the area is 28 square feet, we will divide it by our height to find the base.
28/4=7
Therefore, our base is 7 feet.
Have a wonderful day! :D
find the inverse
f(x)=3x-2
Answer:
Step-by-step explanation:
hello friend
the answer is [tex]\frac{x}{3}[/tex] + [tex]\frac{2}{3}[/tex]
To find the inverse, interchange the variables and solve for y
[tex]f^{-1}[/tex](x) = [tex]\frac{x}{3}[/tex] + [tex]\frac{2}{3}[/tex]
Hope this helps
plz mark as brainliest!!!!!!
Which of these is a factor in this expression- 7z^4-5+10(y^3+2). Choices- A- 7z^4-5, B- 10(y^3+2) C = -5+10(y^3+2) D= (y^3+2)
Answer:
D. ([tex]y^{3}[/tex] + 2)
Step-by-step explanation:
A factor of an expression can either be in the form of an algebraic expression, alphabet or number. In the question, the given expression can be written as;
7[tex]z^{4}[/tex] - 5 + 10[tex]y^{3}[/tex] + 20
Factorizing the expression gives;
7[tex]z^{4}[/tex] - 5 + 10([tex]y^{3}[/tex] + 2)
Therefore, it would be observed that the factor in the expression is;
([tex]y^{3}[/tex] + 2)
The compositions f(g(x)) and g(f(x)) of functions fand g are shown on the graphWhich statements describe the compositions? Check all that apply
Answer:
a,c,d,f had the same problem just now
Step-by-step explanation:
Answer:
The answers are A, C, D, E !
Step-by-step explanation:
Solve the equation: q – 17 = 23
Answer:
Hey there!
q-17=23
+17=+17
q=40
Let me know if this helps :)
If the correlation coefficient has a negative value, then the coefficient of determination:_________.a. can take on either a negative or positive value.b. must be positive.c. will also have a negative value.d. will equal zero.
Answer:
Step-by-step explanation:
The sign of r depends on the sign of the estimated slope coefficient b1:
If b1 is negative, then r takes a negative sign.
If b1 is positive, then r takes a positive sign.
That is, the estimated slope and the correlation coefficient r always share the same sign. Furthermore, because r2 is always a number between 0 and 1, the correlation coefficient r is always a number between -1 and 1.
One advantage of r is that it is unitless, allowing researchers to make sense of correlation coefficients calculated on different data sets with different units. The "unitless-ness" of the measure can be seen from an alternative formula for r, namely:
r=∑ni=1(xi−x¯)(yi−y¯)∑ni=1(xi−x¯)2∑ni=1(yi−y¯)2−−−−−−−−−−−−−−−−−−−−−−−√
If x is the height of an individual measured in inches and y is the weight of the individual measured in pounds, then the units for the numerator is inches × pounds. Similarly, the units for the denominator is inches × pounds. Because they are the same, the units in the numerator and denominator cancel each other out, yielding a "unitless" measure.
Another formula for r that you might see in the regression literature is one that illustrates how the correlation coefficient r is a function of the estimated slope coefficient b1:
r=∑ni=1(xi−x¯)2−−−−−−−−−−−−√∑ni=1(yi−y¯)2−−−−−−−−−−−√×b1
Given the relation D={(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation D a function? (A)-3 (B)-6 (C) 8 (D) 6
Answer:
(B) -6
Step-by-step explanation:
If D is to be a functions, the value of x cannot repeat any of the other values listed first in the ordered pairs. Values of 6, 8, and -3 must be rejected. The only remaining answer choice is -6.
The water level at the Dead Sea dropped from 390 meters below sea level in 1930 to 423 meters below sea level in 2010. By how much did the water level drop from 1930 to 2010?
Answer:
33ft below sea level
Step-by-step explanation:
423-390=33ft
You buy a container of cat litter for $12.25 in a bag of cat food for X dollars the total purchase is $19.08 which includes 6% sales tax right and solve equation to find the cost of the cat food
Answer:
List Price = $ 20.30
Discount Amount = $ 1.22