Answer:
Step-by-step explanation:
This is really super super simple as long as you know the rules for finding a perpedicular slope from a given line. The perpendicular slope of a line is the opposite reciprocal of the given slope. Our given slope is 3/5, therefore, the perpendicular slope is -5/3. There's only one line with that exact slope, so the choice is the last one. (BTW, check the coordinate you gave. It should be
(15, -5), not (15, 5)!)
Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?
Answer:
What is 1/3 of 814
Step-by-step explanation:
What is 1/3 of 814
Answer: I think C
Step-by-step explanation:
3(7x)-2(4-x) simplify the expression
Answer:
23x - 8 is the answer in simplify that expression
Answer:
[tex]3(7x)-2(4-x)[/tex]
[tex]21x-2(-x+4)[/tex][tex](21x+2x)-8[/tex][tex]23x-8[/tex]-------------------------
hope it helps...
have a great day!!
I’m so confused plz help
Answer:
[tex]\frac{37}{2}[/tex] ÷ [tex]\frac{17}{4}[/tex]
Step-by-step explanation:
[tex]18\frac{1}{2} =\frac{37}{2}[/tex]
[tex]4\frac{1}{4} =\frac{17}{4}[/tex]
[tex]\frac{37}{2}[/tex] ÷ [tex]\frac{17}{4}[/tex]
Frank earns 56,600$ one year and receives a 9 % raise in salary. What is his new salary?
Answer:
His new salary would be $61,694
Step-by-step explanation:
A research team conducted a study showing that approximately 30% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, diminishing cerebral functions. At a board meeting of 30 businessmen, all of whom wear ties, what are the following probabilities?
a. at least one tie is too tight
b. more than two ties are too tight
c. no tie is too tight
d. at least 18 ties are not too tight
Answer:
a) 0.9998
b) 0.9979
c) 0.7
d) 0.9155
Step-by-step explanation:
P( people who wear their ties tightly ) = 0.3
P( people who do not wear their ties tightly ) = 1 - 0.3 = 0.7
sample size ( n ) = 30
Given that the events are independent and there are only two outcomes we will apply Binomial distribution
a) P( at least one tie is too tight )
P ( x ≥ 1 ) = 1 - P ( x < 1 ) = 1 - P ( x = 0 )
= 1 - 0.00002 = 0.9998 ( excel function: 1 - BINOMDIST(0,30,0.3,0) )
b) P( more than two ties are too tight )
P ( x > 2 ) = 1 - P ( x ≤ 2 ) = 1 - BINOMDIST(2, 30, 0.3, 1 )
= 1 - 0.002113178
= 0.9979
c) P ( no tie is tight )
P ( x = 0 ) = 0.7
d) P( at least 18 ties are not too tight ) i.e. ( P = 0.7 )
P ( x ≥ 18 ) = 1 - P( x ≤ 17 )
= 1 - BINOMDIST ( 17, 30, 0.7, 1 )
= 1 - 0.08447006
= 0.9155
Which summation properties or formulas must be used to evaluate this summation? Check all that
apply
Given:
Summation problem is:
[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]
To find:
The properties or formulas must be used to evaluate the given summation.
Solution:
We have,
[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]
In can be rewritten as:
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}(n^3+n)[/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}n^3+\sum\limits_{n=1}^{35}n[/tex] [tex]\left[\because \sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i\right][/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(35+1)}{2}\right]^2+\dfrac{35(35+1)}{2}[/tex] [tex]\left[\because \sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2\right][/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(36)}{2}\right]^2+\dfrac{35(36)}{2}[/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[630\right]^2+630[/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=396900+630[/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=397530[/tex]
Therefore, the properties and formula used are:
[tex]\sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i,\\\sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\\\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2[/tex]
Answer: see attachment below
Step-by-step explanation:
9 sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the
gold, silver, and bronze medals be awarded?
Answer:
in three different ways the first one gets a gold one the other 4 printers get silver n the last 4 printers get bronze.
Graph the line with slope - 1 passing through the point (-3, 3).
Answer:
Y=-x
Step-by-step explanation:
Y=mx+c
y=3, x= -3, m=-1
(-1)(-3)=3
3-3=0
S0,
c=0
y=-x
Answer:
This is how your graph with slope of -1 and (-3,3) should look like. I hope this helps you!!
Step-by-step explanation:
Find f(-2) for f(x) = 3x2^x
The value of function f (- 2) would be,
⇒ f (- 2) = 3 / 4
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The value of function is,
⇒ f (x) = 3 × 2ˣ
Now,
At x = - 2;
The value of function f (- 2) would be,
⇒ f (x) = 3 × 2ˣ
⇒ f (- 2) = 3 × 2⁻²
⇒ f (- 2) = 3 × 1 / 4
⇒ f (- 2) = 3 / 4
Thus, The value of function f (- 2) would be,
⇒ f (- 2) = 3 / 4
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ2
AD=3, BD=5, AE=4. Find CE
Answer:
6.6
Step-by-step explanation:
Triangles ADE and ABC are similar.
Therefore,
AD/AB=AE/AC
3/8=4/AC
3AC=32
AC=10.6(3 s.f)
CE=10.6-4=6.6
A pair of dice was rolled many times and the results appear below. Based upon these results, what is the experimental probability of rolling a multiple of 3?
Outcome
2 3 4 5 6 7 8 9 10 11 12
Frequency
3 6 8 11 14 16 15 12 9 5 1 The percent probability is = [ ? ]%
Round to the nearest percent.
Answer:
The exponential probability should be 33%.
Step-by-step explanation:
[tex]4 \div 12 = .33 \\ [/tex]
[tex].33 \times 100 = 33\%[/tex]
The experimental probability of rolling a multiple of 3 will be 33%.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A pair of dice was rolled many times and the results appear below. Based upon these results.
Outcome 2 3 4 5 6 7 8 9 10 11 12
Frequency 3 6 8 11 14 16 15 12 9 5 1
Then the experimental probability of rolling a multiple of 3 will be
Favorable events = 6 + 14 + 12 + 1 = 33
Total events = 100
Then the probability will be
P = (33 / 100) x 100
P = 0.33 x 100
P = 33%
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
name an outcome that has a probability between 0.5 and 1
Answer:
a coin flip
Step-by-step explanation:
The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero.
six subtracted from one-half a number is 12.
Answer:
Number is 36
Step-by-step explanation:
Let the number be x
one half of the number is [tex]\frac{1}{2} x[/tex]
6 subtracted from one half is 12, That is,
[tex]\frac{1}{2} x - 6 = 12\\\\\frac{1}{2}x = 12 +6 \\\\x = 18 \times 2 = 36[/tex]
The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be concluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
H0: Level of math is independent of/dependent on grade level.
H1: Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.
Solution :
The expected matrix is :
[tex]$E_i=\frac{(\text{row total } \times \text{column total})}{\text{grand total}}$[/tex] Honors Regular General
6 th grade 33.0986 46.0070 14.8944
7 th grade 34.8592 48.4542 15.6866
8 th grade 32.0423 44.5387 14.4190
Thus we can say that the level of math is not dependent on the grade level.
Therefore, the provided information is correct. Test Stat = 1.4007, p-value = 0.844070419
[tex]H_0[/tex] : The level of math is independent of the grade level.
[tex]H_1[/tex] : The level of math is dependent on the grade level.
50 POINTS! SHOW WORK OR ILL REPORT! Multiplying mixed numbers
Answer:
15/2 = 7 1/2
Step-by-step explanation:
3 1/3 * 2 1/4 =
= (3 * 3 + 1)/3 * (2 * 4 + 1)/4
= 10/3 * 9/4
= 90/12
= 45/6
= 15/2
= 7 1/2
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
See this attachment
What is the value of x? 63, 42, 50
Answer:
Step-by-step explanation:
A pair of elephants walk 26 meters on a straight slope. The height of the slope is 12 meters. Find the angle between ground and the top of the hill.
Answer:
36
Step-by-step explanation:
The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 132 units2 156 units2 168 units2 216 units2
Cual es la ecuación recta de m=2 y p (2,3)
Answer:
y=2x-1
Step-by-step explanation:
use slope formula
the substitute into slope intercept form
Translate the sentence into an equation. The quotient of a number and 8 is 16. What is the solution to the equation? One-half 2 128 164
Answer:
128
Step-by-step explanation:
I did the math
Answer:
it's 2 :)
Step-by-step explanation:
quotient is a term used in division so you divide
16 divided by 8 is 2 <3
don't forget to say thanks if you got it right ! :)
What is an equation that is true for all values of the variable
Answer:
x=x
Step-by-step explanation:
Find the length of the arc
in terms of pi.
A
90°
B AB = [?]π
C
10
Hint: The arc is only part of the circle.
Enter
Answer:
5pi
is answer
Step-by-step explanation:
hear is your answer in attachment
Please help someone! Very important!
Answer:
OH NO
Step-by-step explanation:
Step-by-step explanation:
oh srr, I'm Vietnamese and I don't know your
country's solution
but i think my answer is correct :((
4. Damiel and Kianny are going to the Pizza Palace for dinner. Damiel orders 2 slices of pizza and 1 cola and has a bill that totals $12. Kianny orders 3 slices of pizza and 2 colas and has a bill that totals $19.
Answer:
if the question is how much does the pizza and coke cost then:
1 slice of pizza is $5 and coke is $2
Step-by-step explanation:
(2×$5)+(1×$2)=$12
(3×$5)+(2×$2)=$19
A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?
Step-by-step explanation:
Well it would be 8.75 ×7 which is 61.25m
Kelly collected $15, $15, $25, and $29 in the last four donations. What is the
mode of these donations?
A. $15
B.$20
C. No mode
Step-by-step explanation:
15 may be
HOPE IT HELP U ...
Answer:
A. $15 is the mode.
Step-by-step explanation:
In order to answer this question, we need to know the definition of mode. "The mode of a set of numbers is the number that occurs the most" Since out of the four numbers, the one that appears the most is $15, then $15 is the mode.
if the orginal quantity is 15 and the new quantity is 19 estimate the percent change of which of these is the best esitmate for the percet change
A. 25% DECREASE
B. 5% DECREASE
C 25% INCREASE
D 5% INCREASE
Answer:
The awnser should be 5% increase or D
Step-by-step explanation:
This should be the awnser because we know that 15 to 19 is a increase. And next 25% increase is way too much, so 5% should be it.
For any exponential function of the form f(x) = a · b^x where b≠0, what is the y-intercept of the graph of f(x)?
(0,a)
(1,0)
(a,0)
(0,1)
Answer:
1) (0,a)
Step-by-step explanation:
f(0) = a. b^0 = a. 1 = a
=> (0,a)
PLEASE HELP ME! It’s easy I just don’t remember.
Answer:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.
θ=arccot(x/o)
PLEASE HELP FAST!!!!!
BAnswer:
Step-by-step explanation: