Answer:
Baseballs is: $10
Bats is: $4
Step-by-step explanation:
Let x represent bats
and y represent baseballs
So we have :
(1) 4x + 7y = 68
(2) x + y = 14 => y = 14 - x
Use substitution.
Substitute equation (2) into equation (1)
4x + 7(14 - x) = 68
Solve for x
4x + 98 -7x = 68
-3x + 98 = 68
-3x = -30
x = 10
Solve for y, replace x = 2 into equation (2)
y = 14 - 10 = 4, so y = 4
Since x represents bats and y represents baseballs, it cost $10 for the bats and $4 for the baseballs.
Mrs. Spina bought 4 boxes of 8 pork chops. She set aside 12 and separated the rest into packs of4 to freeze. How many packs of chops did Mrs. Spina freeze
Answer:
5
Step-by-step explanation:
she brought 4 boxes of 8 therefore
4 × 8 = 32 she brought 32 pork chop
she put 12 aside
32- 12= 20 and pack the remaining 20 into pack of 4, 20÷4 =5.
therefore she had 5 freeze pack of pork chops
brainliest is appreciated
34. Find each of the following probabilities when n indepen- dent Bernoulli trials are carried out with probability of success p. a) the probability of no successes b) the probability of at least one success c) the probability of at most one success d) the probability of at least two successes
Answer:
A.) (1 - p)^n
B.) 1 - (1 - p)^n
C.) (1 - p)^n + np*(1-p)^(n-1)
D.) 1 - (1 - p)^n - np*(1-p)^(n-1)
Step-by-step explanation:
General form of a binomial probability :
P(x = x) = nCx * p^x * q^(n-x)
q = 1 - p ; n = number of trials ; x = number of successes ; p = probability of success
A.) probability of no successes ;
P(x = 0) = nC0 * p^0 * (1 - p)^(n-0)
P(x = 0) = 1 * 1 * (1 - p)^n
P(x = 0) = (1 - p)^n
Probability of atleast one success = 1 - P(no success)
P(x ≥ 1) = 1 - P(x = 0)
P(x = 0) = (1 - p)^n
P(x ≥ 1) = 1 - P(x = 0) = 1 - (1 - p)^n
Probability of at most one success
P(x ≤ 1) = p(x = 0) + p(x = 1)
P(x = 0) = (1 - p)^n
P(x = 1) = nC1 * p^1 * (1 - p)^(n-1)
P(x = 1) = n * p * (1 - p)^(n-1) = np*(1-p)^(n-1)
P(x ≤ 1) = (1 - p)^n + np*(1-p)^(n-1)
Probability of atleast two successes:
(1 - probability of at most 2 successes)
P(x ≥ 2) = 1 - P(x ≤ 1)
P(x ≥ 2) = 1 - (p(x = 0) + p(x = 1))
P(x ≥ 2) = 1 - p(x = 0) - p(x = 1))
P(x ≥ 2) = 1 - (1 - p)^n - np*(1-p)^(n-1)
A line goes through the points (−7,−8) and (7,8). Find its slope.
Answer:slope = "rise over run" (the change in y coordinates divided by the change in x coordinates) =
(8--7)/(3-7) = 15/-4 = -15/4
Step-by-step explanation: have a nice day
Find the approximate length of the bolded arc.
Answer:
Step-by-step explanation:
Connie is packing for a trip. She has 17 pairs of jeans. If she has room to pack 6 pairs how many ways can she choose which jeans to take
Answer:12,376
Step-by-step explanation:
Given
Connie has 17 Pairs of jeans
She has to choose 6 pairs out of 17
We know, no of ways to pick r items out of n items is [tex]^nC_r[/tex]
[tex]\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}[/tex]
If $40 U.S. dollars are equivalent to 20.3765 British pounds then how many British pounds are equivalent to $1 U.S. dollar? Round your answer to the nearest thousandths.
what is the center of dilation ?
Answer:
A fixed point on a plane.
Step-by-step explanation:
It is the starting point from which we measure distances in a dilation.
The pool table has a height of 7ft. Side one is 18ft and side two is 17 ft. What is the area and perimeter?
Answer:
area = 2,142
perimeter = 70
Step-by-step explanation:
area = length x width x height
a=18 x 17 x 7
perimeter = all sides added together and assuming it is a rectangle...
p=18 + 18 + 17 + 17
the perimeter of a rectangle is 18 inches. the length is 5 inches. find the width of the rectangle.
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Answer:
4 inches
Step-by-step explanation:
I need this ASAP!
Solve:
the figure below is a net for a triangular prism (Help)
Answer:
368 in²
Step-by-step explanation:
Surface area of the triangular prism is the sum of the area of each net = 2(area of two triangle) + 2(area of two similar rectangles) + area of rectangle
= 2(½*bh) + 2(L*W) + (L*W)
Surface area = 2(½*5*7) + 2(15*8.6) + (15*5)
= 35 + 258 + 75
= 368 in²
The smith family took a 2-day road trip.on the second day,they drove 3/4 the distance they traveled on the first day. What is possible distance they could have traveled over the 2 days ? Is there more than one possible distance? Justify your response
Answer:
1 1/4
Step-by-step explanation:
use mixed number calcator!
The total distance traveled by the Smith family for 2 days is given by the equation A = ( 7/4 )d , where d is the distance traveled on first day
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The distance traveled by the Smith family on first day = d miles
The distance traveled by the Smith family on second day = ( 3/4 ) of the distance of first day
On simplifying the equation , we get
The distance traveled by the Smith family on second day = ( 3/4 ) d
And , the total distance traveled A = d + ( 3/4 )d
The total distance traveled A = ( 7/4 )d
The total distance traveled A = 1.75d
Hence , the equation is A = 1.75d
To learn more about equations click :
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y=(x+1)^2+2
plot five points
Answer:
(−3,6)
(−2,3)
(−1.2)
(0,3)
(1,6)
Step-by-step explanation:
The length of a rectangle is twice its width.
If the perimeter of the rectangle is 60 m, find its length and width.
Answer:
120 m
Step-by-step explanation:
.
Answer:
length = 20m
width = 10m
Step-by-step explanation:
perimeter = 2 (length + width)
length = 2 * width = 2w
perimeter = 2 (2w +w)
perimeter = 2(3w)
60m = 6w
(divide both sides by 6)
60/6 = w
width = 10m
length = 2w
so length = 2 * 10 = 20m
33 is less than or equal to x
Question options:
33 < x
33 > x
33 ≥ x
33 ≤ x
Please explain please also, thanks! :)
Answer:
33 ≤ x
Step-by-step explanation:
≤ means less than or equal to, you can see < showing less than, and the _ meaning equal to.
Which is the better deal? *
5 gallons of gas for $15.70
11 gallons of gas for $42.00
Answer:
5 gallons of gas for 15.70
Step-by-step explanation:
15.70 divided by 5 is 3.14 while 42 divided by 11 is 3.8
An experiment to compare the tension bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsions have been added during mixing) to that of unmodified mortar resulted in x = 18.19 kgf/cm2 for the modified mortar (m = 42) and y = 16.87 kgf/cm2 for the unmodified mortar (n = 32). Let m1 and m2 be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the bond strength distributions are both normal.
(a) Assuming that ?1 = 1.6 and ?2 = 1.3, testH0: m1 ? m2 = 0versus Ha: m1 ? m2 > 0 at level 0.01.State the rejection region(s). (If the critical region is one-sided, enter NONE for the unused region. Round your answers to two decimal places.)
z ?
z ?
Compute the test statistic value. (Round your answer to two decimal places.)
z =
State the conclusion in the problem context.
Reject H0. The data does not suggest that the difference in average tension bond strengths exceeds 0.
Fail to reject H0. The data does not suggest that the difference in average tension bond strengths exceeds from 0.
Fail to reject H0. The data suggests that the difference in average tension bond strengths exceeds 0.
Reject H0. The data suggests that the difference in average tension bond strengths exceeds 0.
(b) Compute the probability of a type II error for the test of part (a) when m1 ? m2 = 1.(Round your answer to four decimal places.)
(c) Suppose the investigator decided to use a level 0.05 test and wished ? = 0.10 when m1 ? m2 = 1. If m = 42, what value of n is necessary? (Round your answer up to the nearest whole number.)
n =
(d) How would the analysis and conclusion of part (a) change if ?1 and ?2 were unknown but s1 = 1.6 and s2 = 1.3?
Since n = 32 is not a large sample, it would no longer be appropriate to use the large sample test. A small sample t procedure should be used, and the appropriate conclusion would follow.
Since n = 32 is a large sample, it would be more appropriate to use the t procedure. The appropriate conclusion would follow. Since n = 32 is a large sample, it would no longer be appropriate to use the large sample test. Any other test can be used, and the conclusions would stay the same.
Since n = 32 is not a large sample, it still be appropriate to use the large sample test. The analysis and conclusions would stay the same.
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Answer:
12
Step-by-step explanation:
a² + b² = c²
a² + 9² = 15²
a² + 81 = 225
a² = 225 - 81
a² = 144
[tex]\sqrt{a^2} =\sqrt{144}[/tex]
a = 12
frank has a board that is 5/8 yards long he cuts off a piece that is 3/5 the length of the board how long is the piece of the board frank cutt off?
Answer:
Step-by-step explanation:
If the board is 5/8 of a yard, then it is 5/8 of 36 inches (a yard is 36 inches).
5/8 * 36 = 22.5 inches.
Frank now cut's 3/5 of the length of the board. So he is going to cut off 3/5 of 22.5 inches.
(3/5) * 22.5 = 67.5 / 5 = 13.5 inches.
You don't specify what the units should be. I translate this into yards, but I think if you want something else, leave a comment.
13.5 /36 = 0.375 = 3/8 of a yard.
The product of 8 and four more than a number
The algebraic expression is:
Answer:
8(n+4)
Step-by-step explanation:
what is the mean,median,mode and range or the data set 4, 7, 3, 7, 7, 12,
Answer:
the mean is6.7 the mode is 7 and the range is 9
Step-by-step explanation:
PLEASE HELP ASAP DONT USE A LINK THOSE NEVER WORK I HAVE A TIME LIMIT
Answer:
107 degrees
Step-by-step explanation:
First, subract 180 from 135 to get the angle for DFE, which is 45 degrees.
Then, add 45 to 28, which equals to 73 degrees.
Finally, subtract 180 from 73 to get the angle for DEF, which is 107 degrees.
Answer:
107
Step-by-step explanation:
Select all of the statements that are true about f(x) =
1
А.
f(x) is an odd function.
B.
f(x) = f (2)
C
f(x) decreases from (-00, 0) U (0,0).
D.
f(x) is a rational function.
Answer:
3-4
Step-by-step explanation:
thats the answer because i need more points
What is Adding functions
Answer:
Adding two functions is like plotting one function and taking the graph of that function as the new x-axis. Points of the second function are then plotted with respect to the new axis. For example, (2, 3) becomes "over 2," "up 3 from the new axis," or (3, f + 2).
Another Example:
To add or subtract functions, just add or subtract the values at each point where it makes sense. If the functions are given by formulas, you can just add or subtract the formulas (it doesn't matter whether you plug in values before or after).
Step-by-step explanation:
Hope this helps. :)
What’s the least common factor of two and six
Answer:
6
Step-by-step explanation:
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Answer: 6
Explanation: least common multiple
I hope this helped!
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Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a
15% alcohol solution.
Which equation can Bruce use to determine how much of the 10% alcohol solution he should use?
Answer:
20 ml of 15% alcohol and 30 ml of 10% alcohol should be used to create a 12% alcohol solution.
Step-by-step explanation:
Since Bruce wants to make 50 ml of an alcohol solution with a 12% concentration, and he has a 10% alcohol solution and a 15% alcohol solution, to determine how much of the 10% alcohol solution he should make the following calculations:
0.9 x 15 + 0.1 x 10 = 14.5
0.7 x 15 + 0.3 x 10 = 13.5
0.5 x 15 + 0.5 x 10 = 12.5
0.4 x 15 + 0.6 x 10 = 12
50 x 0.4 = 20
Therefore, 20 ml of 15% alcohol and 30 ml of 10% alcohol should be used to create a 12% alcohol solution.
A company's sales in Seattle were $330,000 in 2012, while their sales in Portland were $235,000 for the same year. Complete the following statements: a. Seattle's sales were % larger than Portland's. b. Portland sales were % smaller than Seattle's. c. Portland sales were % of Seattle's. Give answers accurate to at least one decimal place.
Answer:
A) Seattle's sales were 40.42% larger than Portland's.
B) Portland sales were 28.79% smaller than Seattle's.
C) Portland sales were 71.21% of Seattle's.
Step-by-step explanation:
Since a company's sales in Seattle were $ 330,000 in 2012, while their sales in Portland were $ 235,000 for the same year, the following calculations must be performed to complete the sentences:
A)
235,000 = 100
330,000 = X
330,000 x 100 / 235,000 = X
33,000,000 / 235,000 = X
140.42 = X
Seattle's sales were 40.42% larger than Portland's.
B)
330,000 = 100
235,000 = X
235,000 x 100 / 330,000 = X
23,500,000 / 330,000 = X
71.21 = X
100 - 71.21 = 28.79
Portland sales were 28.79% smaller than Seattle's.
C)
330,000 = 100
235,000 = X
235,000 x 100 / 330,000 = X
23,500,000 / 330,000 = X
71.21 = X
Portland sales were 71.21% of Seattle's.
An animal shelter houses dogs, cats, and rabbits. There are 126 animals at the shelter. Of the animals, one-third are cats. Three-fourths of the remaining animals are dogs. How many of the animals are rabbits?
Answer:
21
Step-by-step explanation:
126/3=42
126-42=84
84/4=21
63 are dogs
42 are cats
and 21 are rabbits
What is the mean of the data set that is represented by this data plot?
Answer:
90
Step-by-step explanation:
[tex]\huge\blue{90}[/tex]
90 is the mean of the data set that is represented by this data plotAnswer the following questions
Answer:
Question 1 : -8/3
Question 2 : 7.62 or unrounded 7.615773106.
Step-by-step explanation:
Question 1:
( 2 , 4 ) ( 5 , -4)
^ ^ ^ ^
x1 y1 x2 y2
Equation : y2 -y1 / x2 - x1
-4-4/5-2 = -8/3
Question 2 :
Equation : a^2 + b^2 = c^2
3^2 + 7^2 = c^2
3^2 = 9
7^2 = 49
9 + 49 = 58
Square root of 58 = 7.615773106.