Answer:
А. The solution to this system is nonviable because it results in a fractional number of tickets.
Step-by-step explanation:
Let x represent the number of adult tickets, y represent the number of child ticket and z represent the number of senior ticket.
Since the number of purchased ticket is 17, hence:
x + y + z = 17 (1)
The total cost of tickets is $141.50, hence:
10x + 7y + 8.5z = 141.5 (2)
they are purchasing 2 more senior tickets than adult tickets, therefore:
x = z + 2 (3)
Solving equation 1 2 and 3 simultaneously gives:
x =17/3, y = 23/3, z = 11/3
Therefore the solution to this system is nonviable because it results in a fractional number of tickets.
Answer:
А.The solution to this system is nonviable because it results in a fractional number of tickets
Step-by-step explanation:
took the test on edmentum and got it correct
Suppose a student usually gets 5.28 hours of sleep. A teacher wants the student to get 8 hours of sleep. What is the percent increase in the number of hours that the student will sleep? Round your answer to the nearest whole percent.
Answer:
52%
Step-by-step explanation:
Number of hours of sleep a student gets = 5.28hrs
A teacher wants the student to get = 8hrs of sleep
Unknown:
Percentage increase in the number of hours the student will sleep = ?
Solution:
Percentage increase = [tex]\frac{New sleep hours - former sleep hours}{former sleep hours}[/tex] x 100
Percentage increase = [tex]\frac{8 - 5.28}{5.28}[/tex] x 100 = 51.5%
Percentage increase = 52%
The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 12, 2012). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries. a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. Round your answer to four decimal places. .9588 c. With
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Population Mean wage (m) = $24.57
a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
The Null hypothesis : μ = 24.57
1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
Alternative hypothesis : μ ≠ 24.57
1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.
Sample size (n) = 30
Sample mean (Sm) = 23.89
Population standard deviation (σ) = 2.40
Obtaining Z:
Z = (Sm - m) / σ/√n
Z = (23.89 - 24.57) / 2.40/√30
Z = - 0.68 / 0.4381780
Z = - 1.5518805
Using the online p value calculator from Zscore
P value = 0.121142
= 0.1211
Can you check my answers see if it’s correct please!!!
Answer:
You are right
Step-by-step explanation:
What is the area of the figure below ?
Answer: 99 sq meters
Step-by-step explanation:
break the figure up into smaller boxes. the far left is 48 m^2, the middle box is 15 m^2, and the right box is 36 m^2
Does the graph represent y as a linear function of x ?
Answer: yes because without the x the y does not have a corresonding oint
20% of 45
Help. Plzzzzzzzzzz
-6(x+4) what this answer simplified.
Answer:
-6x-24
Step-by-step explanation:
all you have to do is multiply, so -6*x and -6*4 and since -24 is a negative the equation is going to be subtracting
Answer:
Step-by-step explanation:
You are putting in a walkway around a tomato garden that has
dimensions of 14 feet x 8 feet. The width of the walkway needs to be
the same around each side of the garden. The total area of the
garden and the walkway needs to be 315 square feet.
Answer:
The garden is 14ft by 8ft.
The width of the walkway needs to be the same around each side of the garden, let's suppose that the width is X.
Then the area of the garden plus the walkway will be:
(14ft + X) by (8ft + X).
And we want that the total area of the garden and the walkway must be equal to 315 ft^2. Then we must solve the equation:
(14ft + X)*(8ft + X) = 315ft^2
Let's solve this for X.
112ft^2 + 14ft*X + 8ft*X + X^2 = 315ft^2
Let's move al the terms to the same side:
X^2 + (14ft + 8ft)*X + 112ft^2 - 315ft^2 = 0
X^2 + 22ft*X - 203ft^2 = 0.
Now to solve this we can use Bhaskara's equation:
[tex]X = \frac{-22ft +- \sqrt{(22ft)^2 - 4*1*(203ft^)} }{2} = \frac{-22ft +-36ft}{2}[/tex]
Then we have two solutions:
X = (-22ft - 36ft)/2 = -29ft
This solution is negative, and X represents a width, so must be positive, then we can discard this solution.
X = (-22ft + 36ft)/2 = 7ft
Then we can conclude that the width of the walkway must be 7ft.
Find the distance between -3/4 and 1 3/4 on a number line. Write your answer as a fraction or mixed number in simplest form.
A fraction is a way to describe a part of a whole. The distance between -3/4 and 1 3/4 on a number line is 1 unit.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
What is a Mixed Fraction?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,
2 1/2
= (2×2 + 1)/2
= 5/2
= 2.5
The distance between -3/4 and 1 3/4 on a number line is,
Distance = 1 3/4 - 3/4
= 7/4 - 3/4
= (7-3)/4
= 4/4 units
= 1 units
Hence, the distance between -3/4 and 1 3/4 on a number line is 1 unit.
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There were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at mcneely’s farm
4/9
5/9
4/5
5/4
Answer:
4/5
Step-by-step explanation:
Is my calculation for finding the measure of the angle is right?
Answer:
Yes
Step-by-step explanation:
What is the greatest whole number that rounds to 2, 100when rounded to the nearest hundred? The least whole number?
Answer:
i am pretty sure it would be 8
Step-by-step explanation:
when it rounds to 2 but also rounds to 100, 8 would be the best bet.
A humanities professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below the top 12% and above the bottom 63% C: Scores below the top 37% and above the bottom 16% D: Scores below the top 84% and above the bottom 8% F: Bottom 8% of scores Scores on the test are normally distributed with a mean of 80.1 and a standard deviation of 7.2. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
Answer: 88.56
Step-by-step explanation:
Given that:
Mean score (m) = 80.1
Standard deviation (s) = 7.2
Minimum score required to score A grade =?
A= Top 12% of scores
Zscore corresponding to top 12% = bottom 88%
Zscore = 1.175
Zscore = (x - mean) / s
1.175 = (x - 80.1) / 7.2
1.175 * 7.2 = x - 80.1
8.46 = x - 80.1
8.46 + 80.1 = x
x = 88.56
Equation: a math sentence that states two quantities are
It will have an
at the city Museum, child admission is $5.10 an adult mission is $8.70. On Friday, 136 tickets were sold for total sales of $970.80. How many adult tickets were sold that day
Answer:
x = 76 children's tickets sold
Step-by-step explanation:
Let x = the number of children's tickets sold
Let y = the number of adult tickets sold
x + y = 131
5.5x + 9.8y = 957 Solve the first equation for y
y = 131 - x Multiply the second equation by 10
55x +98y = 9570 Substitute the above equation into this one.
55x + 98(131-x) = 9570 Use the distributive property
55x + 12838 - 98x = 9570 Solve the equation
-43x = -3268
x= 76 children's tickets sold
Find the value of each missing variable. y=
Step-by-step explanation:
29x - 3 + 15x + 7 = 180° because these two angles are supplementary
if we add like terms
44x + 4 = 180
44x = 176 divide both sides by 44
x = 4
29x - 3 = 13y - 17 because alternate exterior angles has same measurement
since we found the value of x let's rewrite the equation
4 × 29 - 3 = 13y - 17
113 = 13y - 17
130 = 13y divide both sides by 13
10 = y
If an urn has 5 white balls 10 red balls and 6 green balls what is the probability that 4 randomly selected balls are all green?
Answer:
5+10+6=21
4/21 = ___
Step-by-step explanation:
The probability that 4 randomly selected balls are all green will be;
"4/21 ".
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
Given:
Number of white balls = 5
Number of red balls = 10
Number of green balls = 6
The Total number of balls = 21
Therefore, The probability that 4 randomly selected balls are all green will be;
= 4/21
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what ratio is lesa than 7/15
Answer:
2/5=6/15 and that is less so....
Step-by-step explanation:
Triangle ABC with vertices A(2, 7), B(6,5),
and C(4, 1): 90° counterclockwise on a graph
Answer:
Step-by-step explanation:
Hope it helps!!
Triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1): 90° counterclockwise transformation is A'(-7, 2), B'(-5, 6) and C'(-1, 4).
Given that, triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1).
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).
90° counterclockwise rotation: (x, y) becomes (-y, x)
A(2, 7) → A'(-7, 2)
B(6, 5) → B'(-5, 6)
C(4, 1) → C'(-1, 4)
Therefore, triangle ABC with vertices A(2, 7), B(6,5) and C(4, 1): 90° counterclockwise transformation is A'(-7, 2), B'(-5, 6) and C'(-1, 4).
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Find area of the figure :)
768 square meters.
We can break it down into two shapes, a rectangle and a triangle.
Rectangle:
[tex]a = b \times h[/tex]
[tex]a = (48) \times (11)[/tex]
[tex]a = 528m^{2} [/tex]
Triangle:
[tex]a = \frac{b \times h}{2} [/tex]
[tex]a = \frac{(48) \times (10)}{2} [/tex]
[tex]a = \frac{480}{2} [/tex]
[tex]a = 240m^{2} [/tex]
Add them together:
[tex]528m^{2} + 240m^{2} = 768m^{2} [/tex]
Sabendo-se que 9 174 532 x 13 = 119 268 916, pode-se concluir que é divisível por 13 o número:
a) 119 268 903
b) 119 268 907
c) 119 268 911
d) 119 268 913
e) 119 268 923
Answer:
A
Step-by-step explanation:
Sabendo que 119 268 916 é divisível por 13, o número 119 268 903 também é divisível por 13.
Isso ocorre porque a diferença entre um múltiplo de um número e o próximo múltiplo de um número é esse próprio número.
Portanto, para encontrar outros múltiplos que são divisíveis por 13 dado o resultado na pergunta, podemos adicionar múltiplos menores de 13 ou subtrair múltiplos menores de 13 do número.
O que estamos dizendo é que o número - 13 ou mesmo -26 ou +39 daria outro múltiplo de 13. O que estamos dizendo é que chegaremos a um número que é divisível por 13 do outro número dado que o número que estamos adicionando ou subtrair do número é um múltiplo de 13.
Agora vamos verificar as opções, podemos ver que a diferença entre o número e a opção é 13 que, claro, é um múltiplo de 13.
Esta é a razão pela qual o número é a nossa resposta.
What is the value of the 1 in the number 1,546,702?
Answer:
Millions
Step-by-step explanation:
Answer:
one million
Step-by-step explanation:
what ln(2)? i just dont get this can you also show works
Answer:
2
Step-by-step explanation:
Because its more than likely asking whats in side the parenthisis
Answer:
ln(2) = 0.6931
Step-by-step explanation:
"ln" stands for natural logarithm.
You can memorize the "ln" of some of the basic prime numbers.
ln(2) = 0.6931
ln(3) = 1.0986
ln(5) = 1.6094
Beest of Luck!
Rewrite as a simplified fraction.1. 6 =?
Answer:
1 3/5
Step-by-step explanation:
Can an opposite and an absolute value of an integer be the same?
Answer:
yes they can be the same
Step-by-step explanation:
yes
Simply the radical square root 175
Answer:
[tex]5\sqrt{ 7[/tex]
Step-by-step explanation:
[tex]\sqrt{75} \\\\perfect squares: 1,25\\\\175/25 = 7\\\\\sqrt{25} = 5 \\\\[/tex]
how many hours are there in 1 month if there are 31 days in a month. Will mark brainliest.
Answer:
744
Step-by-step explanation:
in one day there is 24 hours if you multiply 24*31 it will be 744hours in total .24*31=744so you multiply the amount of time with the amount of days :)hope you get it !please mark me brilliant if im rightthank you :3Questo
The following group of values was entered into the TVM Solver of a graphing
calculator. N = 132; 1% = 7.8; PV = ; PMT = - 740; FV = 0; P/Y = 12; C/Y = 12;
PMT:END. Which of these expressions will return the same value for PV?
Answer: (740)((1+0.0065)^132-1)/(0.0065)(1+0.0065)^132
Step-by-step explanation:
The value of the present value of the given is 65440.1194.
We have given that,
The following group of values was entered into the TVM Solver of graphing.
calculator. N = 132; 1% = 7.8; PV = ; PMT = - 740; FV = 0; P/Y = 12; C/Y = 12;
What is the formula for present value?[tex]PV=FV/(1+i)^n[/tex]
[tex]=\frac{740\left(\left(1+0.0065\right)^{132}-1\right)}{0.0065\left(1+0.0065\right)^{132}}[/tex]
[tex]=\frac{740\left(\left(1+0.0065\right)^{132}-1\right)}{0.0065\left(1+0.0065\right)^{132}}[/tex]
[tex]=\frac{1000.40602\dots }{0.0065\cdot \:1.0065^{132}}[/tex]
[tex]=65440.11940[/tex]
Therefore, The value of the present value of the given is 65440.1194.
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Terry selected two cards. The sum of her card is -10. Can one of the cards be positive and the other be negative.
7. Which statements about the values of 2.044
and 20.44 are true?
Answer:
20.44>2.044
Step-by-step explanation:
