Answer:
9 and 15
Step-by-step explanation:
9 + 15 = 24/ 2 = 12
15 - 9 = 6
The two numbers are 15 and 9.
What is 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. LHS = RHS is a common mathematical formula.
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.
We have,
Mean of two number is 12 and range is 6.
let the two number be a and b
So, Mean = (a + b)/ 2
12 = (a + b)/ 2
a+ b= 24.........(1)
Now, range = 6
a - b = 6........(2)
Solving equation 1 and 2 we get
2a = 24-6
2a = 18
a= 9
and, b= 24 - 9
b = 15
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A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Passed Failed
Male 17 6
Female 34 12
Since P(mail |fail)=________ and P(male)=______, the two results are_____ so the events are________
Answer:
Step-by-step explanation:
From the given information:
Passed Failed Total
Male 17 6 23
Female 34 12 46
Total 51 18 69
[tex]P(male | fail) = \dfrac{P(male \cap fail)}{ P(fail)}[/tex]
[tex]P(male | fail) = \dfrac{\dfrac{6}{69} }{\dfrac{18}{69}}[/tex]
[tex]P(male| fail) = \dfrac{1}{3}[/tex]
[tex]P(male | fail) = 0.333[/tex]
[tex]P(male) = \dfrac{23}{69}[/tex]
[tex]P(male) = \dfrac {1}{3}[/tex]
[tex]P(male) = 0.333[/tex]
The two results are equal:
So the events are dependent.
Dan makes several smoothies using 345 cups blueberries for every 223 cups of strawberries. Using these ratios, how many cups of blueberries will he need for 513 cups of strawberries?
Answer:
2 2/3
Step-by-step explanation:
I GIVEEEEEE BRAINLILSTTTT
Answer:
1,-2
1,1
2,-1
these ate after multiplying all the vertices by 1/5
Classify each of the sentences below as an atomic statement, a molecular statement, or not a statement at all. If the statement is molecular, say what kind it is (conjunction, disjunction, conditional, biconditional, negation).
a. The sum of the first 100 odd positive integers.
b. Everybody needs somebody sometime.
c. The Broncos will win the Super Bowl or I'll eat my hat.
d. We can have donuts for dinner, but only if it rains.
e. Every natural number greater than 1 is either prime or composite.
f. This sentence is false.
Answer:
a. The sum of the first 100 odd positive integers - Not a statement
b. Everybody needs somebody sometime - Atomic statement
c. The Broncos will win the Super Bowl or I'll eat my hat - Molecular statement (disjunction)
d. We can have donuts for dinner, but only if it rains - Molecular statement (conditional)
e. Every natural number greater than 1 is either prime or composite - Atomic statement
f. This sentence is false - Not a statement
Step-by-step explanation:
A statement in mathematics can be said to be any declarative statement that can either be true or false. While a sentence is considered to not be a statement if
Statements are divided into 2:
Atomic statements: These are statements that cannot be split into mini statements.Molecular statements: These are the opposites of atomic statements. They are statements that cannot be spilt. This can further be divided into; conjunction, disjunction, conditional, bi-conditional and negationHelp me I'm not good at this ;-;
Answer:
1. TRUE
2.FALSE
3.FALSE
4.FALSE
5.TRUE
Step-by-step explanation:
The temperature was 2 degrees Celsius and fell to -12 degrees Celsius. What was the change in temperature?
Answer:10
Step-by-step explanation:
-12-2
what is the lenght of a day on Mercury in hours?
Answer:
1407 and 30 minutes
Step-by-step explanation:
one day 58d 15h 30m
58 days x 24 hours = 1392
1392+15 hours = 1407
the ordered pair (1,-3) is a solution of the system
Answer:
False
Step-by-step explanation:
Find the solution of:
2x + 3y = -7 --› eqn. 1
-x = 2y --› eqn. 2
Rewrite equation 2
-x = 2y --› eqn. 2
Divide both sides by -1
x = -2y
Substitute x = -2y in equation 1.
2x + 3y = -7 --› eqn. 1
2(-2y) + 3y = -7
-4y + 3y = -7
-y = -7
Divide both sides by -1
y = 7
If y = 7, then (1, -3) cannot be the solution of the system of equations.
My average grade on
a set of five tests was
88%. I can remember
only that the first four
grades were 78%,
86%, 96%, 94%. What
was my fifth grade?
Answer:
86%
Step-by-step explanation:
88 times 5 = 440
78 + 86 + 96 + 94 = 354
440 - 354 = 86
13/19 as a decimal rounded to the nearest hundredth.
Answer:
0.68
Step-by-step explanation:
13/19 = 0.6842
0.6842 rounded to the nearest hundredth is 0.68.
I hope this helps!
Answer:
0.68
Step-by-step explanation:
i think
Look at Jerrys monthly budget below. What percentage of Jerrys net income is spent on transportation?
Net Monthly Income: 2,970.00
Housing: $750.00
Utilities: $120.00
Food: $450.00
Transportation: $650.00
Savings: $300.00
Other Expenses: $500.00
Total Monthly Expenses: 2,970.00
A. 28%
B. 25.3%
C. 86.7%
D. 21.9%
Answer:
D. 21.9%
Step-by-step explanation:
(650÷2970)x100= 21.88% rounded off 21.9%
To buy a car, Mitchell borrowed $17,000 at an annual (yearly) simple interest rate of 9%. During his first year of this loan, he will owe the bank $1530 in interest.
Answer: True
Step-by-step explanation:
(1) 100% - 9% = 91% = .91
(2) .91 x 17,000 = 15470
(3) 17,000 - 15,470 = 1'530
-6= n/2 - 10 help needed
Answer:
N = 4
Step-by-step explanation:
help with my homework the question is my divisor is 9 am greater than 7 x 9 l am less than 8 x 9 what dividend am I
Answer:
70
Step-by-step explanation:
7*9+7 = 63+7 = 70
The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 42 and a standard deviation of 10. Using the empirical (68-95-99.7) rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 22 and 52
Answer:
81.5% of 1-mile long roadways with potholes numbering between 22 and 52
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 42, standard deviation of 10.
The normal distribution is symmetric, so 50% of the measures are below the mean and 50% are above the mean
Approximate percentage of 1-mile long roadways with potholes numbering between 22 and 52:
22 = 42 - 2*10
So 22 is two standard deviations below the mean. Of the 50% of the measures that are below the mean, 95% are between two standard deviations below the mean(22) and the mean(42).
52 = 42 + 10
So 42 is one standard deviation above the mean. Of the 50% of the measures that are above the mean, 60% are between the mean(42) and one standard deviation above the mean(52).
In the desired interval, the percentage is:
[tex]P = 0.5*0.95 + 0.5*0.68 = 0.815[/tex]
81.5% of 1-mile long roadways with potholes numbering between 22 and 52
solve the system of equations using the linear combination method
Answer:
60 is all of the answer together
On one shelf of the school library 1/2 of the books are about sports. Joyce sees that 3/4 of the sports books are about basketball. What fraction of the books on the shelf are about basketball
The fraction of books on the shelf that are about basketball is [tex]\frac{3}{8}[/tex].
We know that half of the books on the shelf are about sports, so if we let "x" represent the total number of books, the number of sports books would be [tex](\frac{1}{2})x[/tex].
Next, Joyce observes that [tex]\frac{3}{4}[/tex] of the sports books are about basketball.
To find the fraction of books about basketball, we need to multiply the fraction of sports books by the fraction of basketball books within that category.
Therefore, we have:
[tex](\frac{3}{4}) \times(\frac{1}{2} )x =(\frac{3}{8} )x[/tex]
So, the fraction of books on the shelf that are about basketball is [tex]\frac{3}{8}[/tex].
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Mr Parsad places £1007 into a
savings account and gains 8%
interest per annum. How much
money is in the account after 9
year?
Answer:
$ 1,732.04
Step-by-step explanation:
A = $1,732.04
I = A - P = $725.04
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 1007(1 + (0.08 × 9)) = 1732.04
A = $1,732.04
The total amount accrued, principal plus interest, from simple interest on a principal of $1,007.00 at a rate of 8% per year for 9 years is $1,732.04.
An asymptote is a line that the graph of a function
A. divides
B. equals
C. approaches but does not cross
D. defines
E. approaches and crosses
Translate the following words into an expression:
A number plus 17
Hint: select ALL that apply.
A. x + 17
B. x - 17
C. 17 + x
D. 17x
Help please I really need help ?!!
The ratio of cats to dogs at the park was 5:7 if there were 60 total how many were dogs
Answer:
5
Step-by-step explanation: i think its right but you need to add the 5 and 7, and i divided it by the amount total, :)
Poppy bought a new bed for $142. The tax is 7%. How much did she spend in taxes only?
Answer:
9.94
Step-by-step explanation:
Convert 7% into decimal form, 0.07 because it is 7% of 100. Then multiply 0.07 with 142 to find 7% of 142.
Answer:
$9.94
Step-by-step explanation:
The net price is $142 and the sales tax (7%) is $9.94. The total price would be $151.94.
find the slope
6:1
12:1
18:3
Answer:
6 is my slope
Step-by-step explanation:
1-1
12 - 6 = 6 and that is my answer
This dessert has 75 calories for every 2 ounces. How many calories are in 8 ounces?
Answer:
300 Calories
Step-by-step explanation:
75/2=37.5/1 Divide to fine the unit rate Dessert has 37.5 calories In 1 ounce 37.5 calories x 8 ounces = 300 calories
the property tax in a certain country varies directly as assessed valuation. If a tax of $1,590 is charged on a single-family home assessed at $81,000, determine the property tax on an apartment complex assessed at $237,600.
Answer: $4,664
Step-by-step explanation:
Direct Variation can be set up as a proportion:
[tex]\dfrac{\text{Property Tax}}{\text{Assessed Valuation}}:\dfrac{1590}{81,000}=\dfrac{x}{237,600}[/tex]
Cross Multiply: x = 4664
Step-by-step explanation:
[tex]Answer: $4,664
Step-by-step explanation:
Direct Variation can be set up as a proportion:
\dfrac{\text{Property Tax}}{\text{Assessed Valuation}}:\dfrac{1590}{81,000}=\dfrac{x}{237,600}Assessed ValuationProperty Tax:81,0001590=237,600x
Cross Multiply: x = 4664
[/tex]
Which expression is equivalent to y • 48?
A. (• 40) + 8
B. (y • 4) • 8
C. (y • 40) + (y • 8)
D. (y • 4) + 8
Answer:
c
Step-by-step explanation:
Answer:
This anwer is A
Step-by-step explanation:
Tell me if im wrong thank you!
Im like 90% sure
Calculate the angle between (2,2,4) and (2,-1,1). The result is a familiar angle, so the answer is to be given exactly.
Answer:
The angle between [tex](2,2,4)[/tex] and [tex](2,-1,1)[/tex] is 60º.
Step-by-step explanation:
From linear algebra, we can determine the angle between both vectors by definition of dot point:
[tex]\cos \theta = \frac{\vec u\bullet \vec v}{\|\vec u\|\cdot \| \vec v\|}[/tex] (1)
Where:
[tex]\vec u[/tex], [tex]\vec v[/tex] - Vectors.
[tex]\|\vec u\|[/tex], [tex]\|\vec v\|[/tex] - Norms of vectors.
[tex]\theta[/tex] - Angle between vectors, measured in sexagesimal degrees.
If we know that [tex]\vec u = (2,2,4)[/tex] and [tex]\vec v = (2,-1,1)[/tex], then angle between vectors is:
[tex]\|\vec u\| = \sqrt{\vec u\bullet \vec u}[/tex] (2)
[tex]\|\vec u\| = \sqrt{2^{2}+2^{2}+4^{2}}[/tex]
[tex]\|\vec u\| \approx 4.899[/tex]
[tex]\|\vec v\| = \sqrt{\vec v\bullet \vec v}[/tex] (3)
[tex]\|\vec v\| = \sqrt{2^{2}+(-1)^{2}+1^{2}}[/tex]
[tex]\|\vec v\| \approx 2.450[/tex]
[tex]\vec u \bullet \vec v = (2,2,4)\bullet (2,-1,1)[/tex]
[tex]\vec u \bullet \vec v = 4-2+4[/tex]
[tex]\vec u \bullet \vec v = 6[/tex]
[tex]\cos \theta = \frac{6}{(4.899)\cdot (2.450)}[/tex]
[tex]\cos \theta = 0.5[/tex]
[tex]\theta = 60^{\circ}[/tex]
The angle between [tex](2,2,4)[/tex] and [tex](2,-1,1)[/tex] is 60º.
Each month, a phone company charges $30 talk time plus $0.50 for each additional minute.
Write an expression to show the cost of a plan for one month???
Answer:
Step-by-step explanation: If 1 minutes of talk = 30 and texting = 30
and each additional minute of talk = 0.50
then the bill would be (for C = total cost)
C = 20+30+(0.45 • x)
OR
C = 50 + 0.45x
Answer:
30+.50m=c
Step-by-step explanation:
30 is the initial cost. Since its initial it is only a one time fee.
.50 is the cost per minute, since it says per you can automatically assume that it will be more than once.
M represents the minutes that they spend on the call, so if there was a 10 minute call, instead of m you would put 10, 10×.50.
But since there is no given time we have to put a variable, m, as a replacement.
The c is the variable for the cost.
I hope I helped you! Have a great day! :3
Choose the equation that represents the line that passes through the point (-1, 6) and has a slope of (-3).
A. y = -3x + 3
B. y = -3x -6
C. y = 3x - 3
D. y = 3x -1