Answer:
Number of bottles = 6
Number of cans = c
Step-by-step explanation:
Given that:
Container for selling water :
17 oz bottle
11 oz can
Let number of bottles = b
Number of cans = c
b + c = 11 - - - (1)
17b + 11c = 157 - - - (2)
b = 11 - c
Substitute into (2)
17(11 - c) + 11c = 157
187 - 17c + 11c = 157
187 - 6c = 157
-6c = 157 - 187
-6c = -30
c = 30/6
c = 5
From ; b = 11 - c
b = 11 - 5
b = 6
Hence,
Number of bottles = 6
Number of cans = c
Answer:
6 bottles and 5 cans
Step-by-step explanation:
Samantha estimates the product of 925 x 38 as 36,000. Without computing the exact answer, is her estimate reasonable? Explain
Please help ASAP
some please help with this!!
Answer:
h. x=11
i. x=4 1/6 (1/6 is a fraction)
k. x=-8
l. x= 3 1/2 (1/2 is a fractio)
Step-by-step explanation:
Find the difference between 25.6 and 14.07
Answer:
25.6-14.07= 11.53
Step-by-step explanation:
Answer:
11.53
Step-by-step explanation:
25.6-14.07=11.53
Cheesecake Factory has 5 vanilla, 10 strawberry, and 6 chocolate cheesecakes in the window for sale. What is the ratio of strawberry to total? *
Answer:
10:21
Step-by-step explanation:
emilythompson35464 hope this helps srry if it doesn't thoMartin charges $15 for every 5 bags of leaves he rakes last weekend he raked 20 bags of leaves how much money did he earn
Answer:
60 hope this helps
Step-by-step explanation:
15 divided by 5 =3
20 multiplied by 3 =60
What polyhedron can be assembled from this net? Explain how you know.
Answer:
Step-by-step explanation:
You can fold the two big rectangles together and make a kinda box like thing, with the triangles as faces, but... there's no top!
Maria needs 3/4 of a cup of sugar for one serving of her recipe. How many cups of sugar will she need for 5 servings?
Answer:
3.75 cups of sugar. I think
Answer:
3 3/4
Step-by-step explanation:
3/5 times 5
1.multiiply the numerator by 5
The numerator is the top number which is 3 in this case
So 3x5 is 15
You keep the denominator 4
so 15/4 that is an improper fraction now divide 15 by 4
or count by fours
4,8,12,16
16 is more than 15 so the new numerator is 12 and how many times did we count to fours? 3 times
so 3 is a whole now subtract the 12 you already took with 15. 3 is the extra so 3 wholes and 3 extras which is 3 3/4
*remember you keep the denominator the same
3. Heights of 1-year-old girls are Normally distributed, with mean 30 inches and standard deviation of 1.2 inches. A company claims that taking 500 mg of vitamin C makes girls taller. In a random sample of 100 baby girls who were given 500 mg vitamin C daily from birth to 1 year, the mean height was 30.1 inches. Is this evidence for the company’s claim? Assume the standard deviation remains the same. To make this determination, calculate and interpret the p-value for the appropriate test.
Answer:
The p- value is [tex]p-value = 0.2033[/tex]
Its interpretation is
As [tex]p-value > \alpha[/tex]
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to support the company claims at a level of sign9ificance of 0.05
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 30 \ inches[/tex]
The standard deviation is [tex]\sigma = 1.2 \ inches[/tex]
The sample size is n = 100
The sample mean is [tex]\= x = 30.1[/tex]
Let assume the level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu \le 30[/tex]
The alternative is [tex]H_a : \mu > 30[/tex]
Generally the test test is mathematically represented as
[tex]z = \frac{\= x- \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{30.1- 30 }{\frac{1.2}{\sqrt{100} } }[/tex]
=> [tex]z = 0.83[/tex]
Generally from the z-table the probability of (Z > 0.83 ) is
[tex]p-value = 0.2033[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to support the company claims at a level of sign9ificance of 0.05
Rita and Bernie both play the same online game. In today's play, Rita earns 6 points 3 times and loses 4 points twice.
Bernie gets a bonus of 15 points for answering a trivia question correctly and then loses 25 points twice for giving wrong
answers. Choose ALL statements that correctly describe this situation.
Answer:
Rita earns 10 points at the end of the play.
Bernie losses 35 points.
Step-by-step explanation:
Rita earns 6 points 3 time and loses 4 points twice
6 * 3 = 18
4 * 2 = 8
18 - 8 = 10 points
Bernie get bonus of 15 points
looses 25 points twice
15 - (25 * 2) = -35 points
Three-fourths of the sum of y and 3 plus the product of 9 and w
Answer:
¾(y + 3) + 9w
Step-by-step explanation:
Let's write it step by step:
Step 1: Three fourths of the sum of y and 3 is; ¾(y + 3)
Step 2: plus the product of 9 and w is;
¾(y + 3) + 9w
Thus,the final algebraic expression of the statement given in the question is;
¾(y + 3) + 9w
Thaw relationship between a distance in yards and the same distance in miles is described by the equation
Answer:
The relationship between a distance in yards (y) and the same distance in miles (m) is described by the equation y = 1760m.
Step-by-step explanation:
make sure to show your work
−104 = 8x
Answer:
x= -13
Step-by-step explanation:
-104=8x
8x= -104
8/8x= -104/8.... dividing both sides by 8
x=-13
Which difference is 8.026?
A. 8.053 − 0.278
B. 30 − 22.974
C. 9.947 − 1.921
D. 18.42 − 8.026
The difference of 8.026 is given by the expression 9.947 − 1.921. The correct option is C.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The expression will be solved as below:-
E = 9.947 − 1.921
Subtract the smaller value from the bigger value,
E = 9.947 − 1.921
E = 8.026
Hence, option C is showing the right difference.
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2 points
6. The drawing below shows a ladder leaning against a building. Part B:
Suppose an identical ladder was put against a building that was 18 feet
high and the ladder reached the top of the building. How far away would
the bottom of the ladder be from the base of the building? Use
mathematics to justify your reasoning.
SUS
20 ft
CREARE
10 ft
Answer:
4.9 feet
Step-by-step explanation:
First, we need to determine the height of the building using the following:
[tex]L^2 = H^2 + B^2[/tex]
Where
H = Height of the building
L = Length of the first ladder = 20ft
B = Distance from the base of the building = 10ft
So, we have:
[tex]20^2 = H^2 + 10^2[/tex]
[tex]400 = H^2 + 100[/tex]
[tex]H^2 = 400 - 100[/tex]
[tex]H^2 = 300[/tex]
[tex]H = \sqrt{300[/tex]
Next, is to determine the distance of the new ladder from the base of the building (B) using Pythagoras theorem using:
[tex]L_2^2 = H^2 + B_2^2[/tex]
Where
[tex]L_2 = 18[/tex] --- Length of the second ladder
[tex]H = \sqrt{300[/tex] ----- Height of the building
So, we have:
[tex]18^2 = \sqrt{300}^2 + B_2^2[/tex]
[tex]324 = 300 + B_2^2[/tex]
[tex]B^2_2 = 324 - 300[/tex]
[tex]B^2_2 = 24[/tex]
Solving for B2, we have:
[tex]B_2 = \sqrt{24[/tex]
[tex]B_2 = 4.9[/tex]
1. The Better Business Council of a large city has concluded that students in the city's schools are not learning
enough about economics to function in the modern world. These findings were based on test results from a
random sample of 20 twelfth-grade students who completed a 46-question multiple-choice test on basic
economic concepts. The data set below shows the number of questions that each of the 20 students in the
sample answered correctly.
12 16 18 17 18 33 41 44 38 35
1936 19 13 43 8 16 14 10 9
(a) Display these data in a stemplot.
(b) Use your stemplot from part (a) to describe the main features of this score distribution.
(c) Why would it be misleading to report only a measure of center for this score distribution?
Answer:
Step-by-step explanation:
The data set below shows the number of questions that each of the 20 students in the sample answered correctly.
12 , 16 , 18, 17 , 18 , 33 , 41 , 44 , 38 , 35 , 19, 36, 19 ,13, 43, 8 ,16, 14, 10, 9
Arrange the data in ascending order:
8 ,9 ,10 ,12 ,13 ,14 ,16 ,16 ,17 ,18 ,18 ,19 ,19 ,33 ,35 ,36 ,38 ,41 ,43 ,44
a)
Key 0|8=08 number of questions answered correctly
0| 9 , 9
1| 0,2,3,4,6,6,7,8,8,9,9
2|
3| 3,5,6,8
4| 1,3,4
b)
The plot is divided into two groups
One is mid tens and other in the high 30's
There is no score in 20's
c) A measure of center might fall between the two groups i.e. mean is 22.95 where there is no data and would not provide an accurate picture of student performance
5. y = 7
Whats the slope
Answer:
The slope is 0
Step-by-step explanation:
Solve for j I will give brainlest anwser
(h-4) / j = k
Answer:
j=h-4/k this is the answer if you are solving for j
Step-by-step explanation:
Seven times a number is less than or equal to a quantity that is 24 less than that same
number. Write an inequality that you could solve to find possible values for this
number,
A)7 < 24 - 2
B) 72 2 - 24
972 24 - 1
D) 72 2 - 24
Answer:
[tex]7x\leq x-24[/tex]
Here, [tex]x[/tex] denotes the required number.
Step-by-step explanation:
Let [tex]x[/tex] denotes the required number that satisfies the following condition.
''seven times a number is less than or equal to a quantity that is 24 less than that same number''
Seven times a number is equal to [tex]7x[/tex]
Quantity that is 24 less than that same number is equal to [tex]x-24[/tex]
Now find the inequality.
As seven times a number is less than or equal to a quantity that is 24 less than that same number,
[tex]7x\leq x-24[/tex]
(–15)0 is it less than one? Zero is an exponent.
Answer:
Yes its less than 0
Step-by-step explanation:
it would go behind the 0 on a number line
In a population of subjects who died from lung cancer following exposure to asbestos, it was found that the mean number of years elapsing between exposure and death was 25. The standard deviation was 7 years. Consider the sampling distribution of sample means based on samples of size 35 drawn from this population.
Required:
What will be the standard deviation of the sampling distribution?
Answer:
The value is [tex]\sigma _x = 1.1832[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 25[/tex]
The population standard deviation is [tex]\sigma = 7[/tex]
The sample size is n = 35
Generally the standard deviation of the sampling distribution is mathematically represented as
[tex]\sigma _x = \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]\sigma _x = \frac{7}{\sqrt{35} }[/tex]
=> [tex]\sigma _x = 1.1832[/tex]
Assignment
Active
Applying the Triangle Parts Relationship Theorem
Which triangle correctly shows that the side opposite the larger angle is the larger side?
13
13
670
5
1000
5
60°
5
5
23
30°
50°
12
10
60°
60°
o
5
o
Answer:c
Step-by-step explanation:
C. 5, 13,12, 67,23, right angle
-7x+y=-19
8x-8y=8
What is the answer
Please explain how to do this!!
9514 1404 393
Answer:
y = 55°
Step-by-step explanation:
You know the sum of angles in a triangle is 180°. So, ...
25° +30° +x = 180°
And, you know a linear pair of angles totals 180°:
x + y = 180°
Substituting for 180°, we have ...
25° +30° +x = x + y
Subtracting x from both sides, we get a relation that is useful to remember:
25° +30° = y
y = 55°
_____
This relation is usually described as ...
An exterior angle is equal to the sum of the remote interior angles.
9. Mr. Stevenson is ordering shirts and hats for his Boy
Scout Troop. There are 60 scouts in the troop.
Hats come in packs of 3, and shirts come in packs of
5. What is the least number of packs each he
should order so that each scout will have 1 hat and
1 shirt, and none will be left over?
Answer:
20 hat packs and 12 shirt packs
Step-by-step explanation:
Scout total troops of boys is 60
Hat come in packs is 3 and shirts come packs of 5 .Thus answer to above question 20 hats and 12 shirts at least
Explanation:
At least no of hats -60/3-20
at least no of shirts -60/5-12
Thus we conclude that the total of at least shirts 12 and hats is 20 is true
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Are the statements true or false? Select True or False for each statement. Statement True False -6:3=3 :(-6) -8.9=9 .(-8)
Step-by-step explanation:
for the first one -6/3=3/(-6)
is false
The left side − 2 does not equal to the right side − 0.5 , which means that the given statement is false.
False
-8*9=9*(-8)
is true
The left side − 72 is equal to the right side − 72 , which means that the given statement is always true.
True
What happens to the angles on a shape, the lines on the shape, and the shape itself when it is transformed.
Answer:
Step-by-step explanation:
What happens to
- the angles on a shape
- the lines on the shape
- the shape itself
when the shape is transformed?
ANSWER:
- When a shape is transformed, the angles on the shape either increase or reduce in size
- When a shape is transformed, the lines on the shape change direction. They could also be shorter, longer, more curved, or more flattened.
- When a shape is transformed, the shape itself becomes another one.
1. Let the test statistics Z have a standard normal distribution when H0 is true. Find the p-value for each of the following situations:
a) H1:μ>μ0,z=1.88
b) H1:μ<μ0,z=−2.75
c) H1:μ≠μ0,z=2.88
2. Let the test statistics T have t distribution when H0 is true. Find the p-value for each of the following situations (provide an interval if the exact one cannot be found using a table):
a) H1:μ>μ0,n=16,t=3.733
b) H1:μ<μ0,df=23,t=−2.500
c) H1:μ≠μ0,n=7,t=−2.250
Answer:
1 a [tex]p -value = 0.030054[/tex]
1b [tex]p -value = 0.0029798[/tex]
1c [tex]p -value = 0.0039768[/tex]
2a [tex]p-value = 0.00099966[/tex]
2b [tex]p-value = 0.00999706[/tex]
2c [tex]p-value = 0.0654412[/tex]
Step-by-step explanation:
Considering question a
The alternative hypothesis is H1:μ>μ0
The test statistics is z =1.88
Generally from the z-table the probability of z =1.88 for a right tailed test is
[tex]p -value = P(Z > 1.88) = 0.030054[/tex]
Considering question b
The alternative hypothesis is H1:μ<μ0
The test statistics is z=−2.75
Generally from the z-table the probability of z=−2.75 for a left tailed test is
[tex]p -value = P(Z < -2.75) = 0.0029798[/tex]
Considering question c
The alternative hypothesis is H1:μ≠μ0
The test statistics is z=2.88
Generally from the z-table the probability of z=2.88 for a right tailed test is
[tex]p -value = P(Z >2.88) = 0.0019884[/tex]
Generally the p-value for the two-tailed test is
[tex]p -value = 2 * P(Z >2.88) = 2 * 0.0019884[/tex]
=> [tex]p -value = 0.0039768[/tex]
Considering question 2a
The alternative hypothesis is H1:μ>μ0
The sample size is n=16
The test statistic is t = 3.733
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 16 - 1[/tex]
=> [tex]df = 15[/tex]
Generally from the t distribution table the probability of t = 3.733 at a degree of freedom of [tex]df = 15[/tex] for a right tailed test is
[tex]p-value = t_{3.733 , 15} = 0.00099966[/tex]
Considering question 2b
The alternative hypothesis is H1:μ<μ0
The degree of freedom is df=23
The test statistic is ,t= −2.500
Generally from the t distribution table the probability of t= −2.500 at a degree of freedom of df=23 for a left tailed test is
[tex]p-value = t_{-2.500 , 23} = 0.00999706[/tex]
Considering question 2c
The alternative hypothesis is H1:μ≠μ0
The sample size is n= 7
The test statistic is ,t= −2.2500
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 7 - 1[/tex]
=> [tex]df = 6[/tex]
Generally from the t distribution table the probability of t= −2.2500 at a degree of freedom of [tex]df = 6[/tex] for a left tailed test is
[tex]t_{-2.2500 , 6} = 0.03272060[/tex]
Generally the p-value for t= −2.2500 for a two tailed test is
[tex]p-value = 2 * 0.03272060 = 0.0654412[/tex]
What is 86,503 when written in expanded form
Answer:
80,000 + 6,000 + 500 + 3
Step-by-step explanation:
Expand so that all non-zero digits are by itself. Remember to retain it's place value:
86503 = 80,000 + 6,000 + 500 + 3
~
The lines below are perpendicular. If the green line has a slope of 1/7, what is
the slope of the red line?
Enter your answer as an integer or a fraction in
lowest terms.
Answer:
-7
Step-by-step explanation:
Rosanne makes 1 1/2 liters of strawberry lemonade. She pours 1/4 of a liter of lemonade into a thermos to take to the park. Her brother drinks 2/5 of the remaining lemonade. How much lemonade does rosanne’s brother drink?
Answer:
1/2 liters
Step-by-step explanation:
Rosanne makes 1 1/2 liters of strawberry lemonade
She pours 1/4 of the lemonade into a thermos
The quantity left is
= 1 1/2 - 1/4
= 3/2 - 1/4
= 5/4
Her brother drinks 2/5 of the remaining lemonade
Therefore the quantity of lemonade that Rosanne brother drinks can be calculated as follows
= 2/5 × 5/4
=1/2
Hence the quantity of lemonade that Rosanne brother drinks is 1/2 liters
Answer:
1/2 liters
Step-by-step explanation: Rosanne makes 1 1/2 liters of strawberry lemonade
She pours 1/4 of the lemonade into a thermos
The quantity left is
= 1 1/2 - 1/4
= 3/2 - 1/4
= 5/4
Her brother drinks 2/5 of the remaining lemonade
Therefore the quantity of lemonade that Rosanne brother drinks can be calculated as follows
= 2/5 × 5/4
=1/2
