Answer:
43
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
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
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 negationOn 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].
For such more questions on fraction
https://brainly.com/question/30225892
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. The length of the long-distance calls made by the employees of a company followed a normal distribution with a mean of 6.5 minutes and a standard deviation of 2 minutes. a. What is the probability that a call lasts less than 4 minutes
Answer:
The probability that a call lasts less than 4 minutes
P(X<4) = P(Z<-1.25) = 0.1056
Step-by-step explanation:
Step(i):-
Given mean of the population = 6.5 minutes
Given standard deviation of the Population = 2 minutes
Let 'X' be the random variable in normal distribution
Given X = 4
[tex]Z= \frac{x-mean}{S.D} = \frac{4-6.5}{2} = -1.25[/tex]
Step(ii):-
The probability that a call lasts less than 4 minutes
P(X<4) = P(Z<-1.25)
= 1-P(z>1.25)
= 1 - ( 0.5 +A(1.25)
= 1-0.5 - A(1.25)
= 0.5 - 0.3944 ( from normal table)
= 0.1056
Final answer:-
The probability that a call lasts less than 4 minutes
P(X<4) = P(Z<-1.25) = 0.1056
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
Estimate 43,059 ÷ 62 = 2. Estimate 11,117 ÷ 96 = 3. Estima.24,743 ÷ 54 =
Answer:
466.8490566
Step-by-step explanation:
use your calculator
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
Find the absolute Value
-8
Answer:
8
Step-by-step explanation:
8 Because it is 8 jumps on a number line from 0.
Answer:
8
Step-by-step explanation:
The absolute value of a number is always the positive version of that numberSo, the absolute value of -8, is 8I hope this helps!
-6= n/2 - 10 help needed
Answer:
N = 4
Step-by-step explanation:
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.
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.
Subtract.
(-9r - 3) - (7r - 1)
Submit
Answer:
-16r -2
Step-by-step explanation:
plz brainliest :)
do you want an explanation?
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
I'm having a math test tomorrow, what the best way to study?
Answer:
You can try using flash cards or use quizlet
Answer:
By studying practice quizzes in that chapter and reviewing past work.
Step-by-step explanation:
hope this helped!
3. A farm has 40m of fence. What is the maximum area he can
enclose using 4 straight lengths of fence?
Answer:
160m squared
Step-by-step explanation:
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]
Please help I'm in need.
Answer:
the last one is correct if see the commas
Step-by-step explanation:
plz mark me as a brainliest
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.
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
Heeeelp I will give Brainlist
Answer:
first one
Step-by-step explanation:
I GIVEEEEEE BRAINLILSTTTT
Answer:
1,-2
1,1
2,-1
these ate after multiplying all the vertices by 1/5
6 points
15. Rectangle JKLM with vertices J(8, 11), K(14, 11), L(14,-4), and M(8,-4):
scale factor k = 1/3, centered of dilation at (5,2). What are the coordinates
of J'? *
Help please I really need help ?!!
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
In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° and the 40° angle.
Write and solve an equation to determine the measure of angle y.
Answer:
the answer is 60° I think
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
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
can you just answer this question?
Answer:
3 packs of water because its one one cent less then the other question
.25>.26
Step-by-step explanation: