Answer:
7/24
Step-by-step explanation:
Tangent is opposite over adjacent. You know that the opposite leg is 14 but you don't know the adjacent.
To find the unknown leg, use Pythagorean theorem so that 50^2-14^2= leg. The length is 48.
14/48= tan B
7/24= tan B
For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: y = x squared minus 6 x Table A a b c up or down y-intercept 1 -6 0 up (0,0) Table B a b c up or down y-intercept 1 0 0 up (0,-6) Table C a b c up or down y-intercept 1 6 0 up (0,0) Table D a b c up or down y-intercept 1 -6 0 down (0,0) a. Table A c. Table C b. Table B d. Table D Please select the best answer from the choices provided
Answer:
The table that illustrates this equation is table A:
1 -6 0 up (0,0)
Step-by-step explanation:
The values of the parameters a, b, and c have to agree with the values for the general quadratic equation in standard form:
[tex]y = a\,x^2+b\,x+c[/tex]
compared to:
[tex]y=x^2-6\,x[/tex]
So the coefficient "a" of the quadratic term in our case is: "1"
the coefficient "b" of the linear term is : "-6"
the coefficient "c" for the constant term s : "0" (zero)
since the coefficient "a" is a positive number, we know that the parabola's branches must be opening "UP".
The y intercept can be found by evaluating the expression for x = 0:
[tex]y=x^2-6x\\y=(0)^2-6\,(0)\\y=0[/tex]
Therefore the y-intercept is at (0, 0)
These results agree with those of Table "A"
Answer:
Table A.)
Step-by-step explanation:
a 1, b -6, c 0, up, (0, 0), Table A.
what is the solution set for the equation (2x-1)(x+5)=0
Answer:
x = 1/2 x=-5
Step-by-step explanation:
(2x-1)(x+5)=0
Using the zero product property
2x-1 =0 x+5 =0
2x= 1 x = -5
x = 1/2 x=-5
I hope This Helps❣ If U Nees Help Notify Me And I Will Post More❣
Please answer this correctly
Answer:
10 players
Step-by-step explanation:
If you count the x’s, there are 10.
Why ask this question? You could have just counted
Answer:
22 players
Step-by-step explanation:
It specifically says 'at least 3 runs' so you would have to count all the x's in the columns 3, 4, and 5.
There are 10 x's in the 3 column
There are 3 x's in the 4 column
There are 9 x's in the 5 column
Hope this helps!
Help help , Please help! Brainliest if correct! What was the equation of the graph below before it was shifted to the left 1.5 units? A. G(x)=(x3)^3-(x-3) B. G(x)=(x-1.5)^3 C. G(x)=(x)^3 D.G(x)=x^3-x
Answer:
A. G(x) = (x -3)^3 -(x -3)
Step-by-step explanation:
The graph before it was shifted left will be a right-shift of the equation shown. That is accomplished by replacing x with (x-1.5). Then the right-shifted equation is ...
G(x) = ((x-1.5) -1.5)^3 -((x -1.5) -1.5)
G(x) = (x -3)^3 -(x -3) . . . . matches choice A
What is the simplest form of this expression?
4(y + 2) - 2
Answer & Step-by-step explanation:
4(y + 2) - 2
Distribute 4 to (y + 2)
4y + 8 - 2
Combine like terms
4y + 6
So, your answer in the simplest form is 4y + 6
What is the range of the relation {(2, 4), (3, 4), (4,7), (5,7), (6,5)}?
Answer:
The range is {4,5,7}
Step-by-step explanation:
The range of a relation is the output values The values are 4,7,5 we normally put them in order from smallest to largest
The range is {4,5,7}
Colgate claims that 90% of dentists recommend Colgate toothpaste. Suppose you randomly choose 10 dentists and ask whether they recommend Colgate toothpaste. What is the probability that exactly 8 dentists in your sample recommend Colgate toothpaste
Answer:
the probability that exactly 8 dentists in 10 samples recommend Colgate toothpaste is;
P(X) = 0.0043
P(X) = 0.43%
Step-by-step explanation:
The probability that a dentist recommend Colgate is;
P = 90% = 0.9
The probability that a dentist doesn't recommend Colgate is;
P' = 1 - P = 1 -0.9 = 0.1
Of 10 sample dentists, the probability that exactly 8 dentists recommend Colgate toothpaste is;
8 will recommend and two will not recommend it.
P(X) = P^8 × P'^2
P(X) = (0.9)^8 × (0.1)^2
P(X) = 0.0043
P(X) = 0.43%
The Probability of exactly 8 dentists in sample recommend Colgate toothpaste is 0.0043.
Since, Colgate claims that 90% of dentists recommend Colgate toothpaste.
Probability of dentist, who recommend Colgate toothpaste = 0.9
Probability of dentist, who does not recommend Colgate toothpaste,
= 1 - 0.9 = 0.1
When 10 dentist randomly choose , out of which 8 dentists recommend Colgate toothpaste. It means that 8 recommend Colgate toothpaste and 2 recommend other tooth paste.
Thus, The Probability of exactly 8 dentists in sample recommend Colgate ,
[tex]=(0.9)^{8}*(0.1)^{2} =0.0043[/tex]
Learn more:
https://brainly.com/question/20046335
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
D. Time ( length)
Step-by-step explanation:
The function is measuring the length of the race, and the time it took to complete. So, it would be D.
// have a great day //
Answer:
D. Time(length)
Step-by-step explanation:
→The time is on the outside because, according to the information that has been given/provided, the length of the race depends on the time taken to complete the race.
This means the correct answer is "D. Time(length)."
The function s(t) represents the position of an object at time t moving along a line. Suppose s(2)=69 and s(6)=141.Find the average velocity of the object over the interval of time [2,6 ].
Answer:
The average velocity of the object over the interval of time [2,6] is of 18 units of distance per unit of time.
Step-by-step explanation:
The average velocity can be calculated as the division of the position change by the time change.
Find the average velocity of the object over the interval of time [2,6 ].
6 - 2 = 4 units of time (t, min,...)
s(6) = 141, s(2) = 69
141 - 69 = 72 units of distance(m, km...)
72/4 = 18 u.d./u.t.
The average velocity of the object over the interval of time [2,6] is of 18 units of distance per unit of time.
Given f(xl=x-7 and g(x)=x^2 find g(f(4))
Answer:
So we first need to solve for f(4) because thats what's inside g(_)
It should be 4-7 because I think its f(x)=x-7 you weren't very clear on it.
so that means that we need to solve for g(-3)
-3^2 = 9 because -3*-3 = 9
9 is answer
A mountain bike is priced at $413. If the sales tax is 6.5 percent, what is the cost to purchase the mountain bike? Round to the
nearest cent if necessary.
$26.85
$28.91
$437.78
$439.85
answer: D) 439.85
Step-by-step explanation:
we are given the price of the bike which is $413.
we are also given the sales tax which is 6.5%.
sales tax is added to the original price to give us our total. so in order to find the total cost we need to find what the 6.5% sales tax is and add it to our original price. to find the sales tax number in dollars we need to set up our formula. The easiest formula is to use a proportion. X is out of 413 = 6.5% is out of 100%. X/413=6.5/100. We can then cross multiply then divide. 6.5 times 413=2,684.5. then divide 2684.5÷100= 26.845.
we need to round up to the nearest cent since we are working with dollars and cents 26.85. 26.85 is 6.5% of the price of the bike which is 413. Now we just simply add the tax to the original price and we get the cost. 413+26.85=439.85
Answer: The answer is D) 439.85
Step-by-step explanation:
A triangular plate with base 3 m and height 5 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m3.)
Answer:
The hydro-static force [tex]F=245000N[/tex]
Step-by-step explanation:
given data
base = 3 m
height = 5 m
density of water = 1000 kg/m3
Acceleration due to gravity = 9.8
The area if the strip needs to be calculated using similar triangular formula as well as the hydrostatic force
CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLANATION
Solve for the unknown value
X=______Degrees
Answer:
Step-by-step explanation:
_______________________________
Hey!!
Solution,
X+61+42=180[ sum of angle in triangle]
or,X+103=180
or,X=180-103
X=77°
So the value of X is 77°
Hope it helps..
Good luck on your assignment
____________________________
The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity
gets added to the bill.
Answer:
Cost of visit = 50 + 100n
Step-by-step explanation:
$50 is the set price of the visit.
$100 is the cost per cavity.
N is the number of cavities.
Since we don't know the number of cavities, 'n' will fill that spot.
100 x n will be the total cavity cost.
Cavity cost + set price of visit will equal the total cost of the visit.
The vector ~v represents the displacement vector from Portland, Oregon to Houston, Texas. The vector w~ represents the displacement vector from Houston, Texas to Akron, Ohio. Use the vectors ~v and w~ to answer the following questions:
a. What is the displacement vector Of a plane which flies from Akron, Ohio to Houston, Texas?
b. In order to fly home from Portland to Akron I have a layover in Houston. Find a vector which describes my total displacement over the whole trip.
c. It is approximately 3000 km from Portland to Houston. It is approximately 5500 km from Anchorage, Alaska to Houston. A plane flies in a straight line from Houston to Anchorage and during the flight it passes directly over Portland. Find a vector which describes the displacement of the plane.
Answer:
a
the displacement of the plane is [tex]- \= w[/tex]
b
The displacement of plane from Portland to Akron with layover at Houston is
[tex]\= v + \= w[/tex]
c
the vector which defines this displacement is [tex]\= v + \= w =- 2500 \ km[/tex]
Step-by-step explanation:
From the question we are the
The displacement from Portland, Oregon to Houston, Texas. is [tex]\= v[/tex]
The displacement from Houston, Texas to Akron, Ohio. is [tex]\= w[/tex]a
a
The motion of the plane in question a is in the opposite direction to vector [tex]\= w[/tex]
So the displacement of the plane is [tex]- \= w[/tex]
b
The motion of Portland to Houston to Akron is in the direction of both vector [tex]\= v[/tex] and [tex]\= w[/tex] so
The displacement of plane from Portland to Akron with layover at Houston is
[tex]d = \= v + \= w[/tex]
c
From the question we are told that the plane flies over Portland to get to Anchorage, Alaska which implies that it is moving in opposite direction to the vector [tex]\= v[/tex]
Give that distance from Portland to Houston is [tex]\= v = 3000 km[/tex]
and the distance from Portland to Anchorage is [tex]\= w = - 5500[/tex]km
Then the vector which defines this displacement is mathematically represented as
[tex]\= v + \= w = 3000 -5500[/tex]
[tex]\= v + \= w =- 2500 \ km[/tex]
Express 1.8meter in seconds given answer in scientific notation
Answer:
Dear user,
Answer to your query is provided below
Scientific notation = 1.8x10^0
Step-by-step explanation:
This is usually expressed simply as 1.8 (Recall that 10^0 = 1.)
1.8×10^0
The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $9 each and will sell 500 tickets. There is one $2,000 grand prize, four $400 second prizes, and sixteen $10 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
Answer:
expected profit = $-1.48
Step-by-step explanation:
The required expected value can be solved below.
The total number of ticket they will sell = 500 tickets.
So,
expected profit = expected return - expected cost
1 grand price of 2000 = 1/500 × 2000 = 4
4 second price of $400 = 4/500 × 400 = 3.2
16 third price of $10 = 16/500 × 10 = 0.32
expected return = 4 + 3.2 + 0.32 = $7.52
expected cost = $9
expected profit = expected return - expected cost
expected profit = 7.52 - 9
expected profit = $-1.48
is the inverse of the function shown below also a function?
Answer:
Yes
Step-by-step explanation:
Yes. Here's why: We can obtain the graph of the inverse of the function shown by reflecting the red graph about the line y = x. The resulting graph is true for all x values and for all y values; it passes the vertical line test.
Answer:
yes. ^^^^^^^^
Step-by-step explanation:
We can obtain the graph of the inverse of the function shown by reflecting the red graph about the line y = x. The resulting graph is true for all x values and for all y values; it passes the vertical line test.
Please answer this correctly
Answer:
662
Step-by-step explanation:
l x w
10x41
6x22
8x15
662
Assume that the heights of men are normally distributed with a mean of 70.9 inches and a standard deviation of 2.1 inches. If 36 men are randomly selected, find the probability that they have a mean height greater than 71.9 inches. Round to four decimal places.
Answer:
The probability that they have a mean height greater than 71.9 inches
P( x⁻ ≥71.9) = 0.0022
Step-by-step explanation:
Explanation:-
Given mean of the Population μ= 70.9
Standard deviation of the Populationσ = 2.1
Given sample size 'n' =36
let x⁻ be the mean height
given x⁻ =71.9 inches
[tex]Z=\frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z=\frac{71.9 -70.9}{\frac{2.1}{\sqrt{36} } } = \frac{1}{0.35} = 2.85[/tex]
The probability that they have a mean height greater than 71.9 inches
P( x⁻ ≥71.9) = P(Z ≥ 2.85)
= 1 - P(Z≤ 2.85)
= 1 - ( 0.5 + A(2.85)
= 0.5 - A( 2.85)
= 0.5 - 0.4978
= 0.0022
The probability that they have a mean height greater than 71.9 inches
P( x⁻ ≥71.9) = 0.0022
Answer:
the answer is 0.0022
Step-by-step explanation:
Each bag of Skittles is supposed to have at least 30 Skittles. A machine that fills bags has a 0.005 probability of under filling a bag. For every thousand bags, what is the standard deviation for the number of bags (out of a thousand) that are under-filled. Assume the Poisson distribution.
Answer:
The standard deviation for the number of bags that are underfilled is 2.236.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval. The variance is the same as the mean, which mean that the standard deviation is the square root of the mean.
In this question:
Expected number of underfilled bags in a sample of n bags is:
[tex]\mu = 0.005*n[/tex]
1000 bags, so
[tex]\mu = 0.005*1000 = 5[/tex]
Standard deviation [tex]S = \sqrt{5} = 2.236[/tex]
The standard deviation for the number of bags that are underfilled is 2.236.
Which of the given shapes has a larger area?
Answer:
Rectangle
Step-by-step explanation:
Count the units. For the triangle, A=0.5bh. 0.5(4)(6)=A. A=12
Now, for the rectangle, A=bh. A=(3)(5). A=15. The rectangle is larger
SL Part 1: Function Families > 01: Graphs and Functions
22. Find the constant of variation k for the direct variation.
х
f(x)
2
-1
7
-3.5
Ok= -2
Ok=0
Ok=0.5
Ok= -0.5
in the formula C=5/9(F-32),If C=35, then F=?
Step-by-step explanation:
Hope this helps
Hope this is correct
Answer:
F = 95°
Step-by-step explanation:
[tex]C=\frac{5}{9}(F-32)[/tex] is the formula to convert Fahrenheit to Celsius
If we have C = 35, we just need to plug in this number to its corresponding variable and then solve for F
[tex]35=\frac{5}{9}(F-32)[/tex] then we need to multiply both sides of the equation by 9 to get rid of the fraction on the right side[tex]35(9)=[\frac{5}{9}(F-32)](9)[/tex] then simplifies to [tex]315=(5)(F-32)[/tex] Now we can distribute the 5 on the right side to the (F - 32) to get 315 = 5F - 160Adding 160 to both sides we get 475 = 5FDividing both sides by 5 we get 95 = FPlease help! Will mark brainliest ! Thank you! Please explain so I can actually understand the question too :)
Answer:
A
Step-by-step explanation:
They are congruent because of the SSS theorem. The chords are congruent because the angles are congruent (angles are congruent because they are vertical angles). Congruent central angles have congruent chords. The other two sides are congruent because they are all radii of the circle and radius are always congruent.
Answer:
A
Step-by-step explanation:
The triangles are isosceles and congruent too. ( both have 2 sides congruent as radius and the angles between them are congruent- SAS)
Identify the range of the function shown in the graph
Answer:
D Y is all real numbers
Step-by-step explanation:
When looking at the y axis, you can see that if the graph were to be bigger, the line would keep going. This means y will never stop.
Company A makes a large shipment to Company B. Company B can reject the shipment if they can conclude that the proportion of defective items in the shipment is larger than 0.1. In a sample of 400 items from the shipment, Company B finds that 59 are defective. Conduct the appropriate hypothesis test for Company B using a 0.05 level of significance.
Answer:
[tex]z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17[/tex]
The p value for this case would be given by:
[tex]p_v =P(z>3.17)=0.00076[/tex]
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment
Step-by-step explanation:
Information provided
n=400 represent the random sample taken
X=59 represent number of defectives from the company B
[tex]\hat p=\frac{59}{400}=0.1475[/tex] estimated proportion of defectives from the company B
[tex]p_o=0.1[/tex] is the value to verify
[tex]\alpha=0.05[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to verify if the true proportion of defectives is higher than 0.1 then the system of hypothesis are.:
Null hypothesis:[tex]p \leq 0.1[/tex]
Alternative hypothesis:[tex]p > 0.1[/tex]
The statistic would be given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17[/tex]
The p value for this case would be given by:
[tex]p_v =P(z>3.17)=0.00076[/tex]
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment
Which expession is equivalent to -3(6c + 2) + 5c
Answer:
-13c-6
Step-by-step explanation:
-3(6c + 2) + 5c
Distribute
-18c -6 +5c
Combine like terms
-13c-6
Answer:
-13c -6
Step-by-step explanation:
-3 (6c) -3x2+5c
multiply 6 by -3
-18c-3x2+5c
multiply -3 by 2
-18c -6+ 5c
add 18c and 5c
-13c -6
What is the gcf of 96x5 and 64x2
Answer:
The GCF is going to be 32
Answer:
32x^2
Step-by-step explanation:
B on edge
the average mark of candidates in an aptitude test was 138.5 with a standard deviation of 10.6. three scores extracted from the test are 178,122,100.what is the average of the extracted scores that are extreme value
Answer:
The average of the extracted scores = 133.33
Step-by-step explanation:
Given data the average mark of candidates in an aptitude test was 138.5 with a standard deviation of 10.6
mean of the aptitude test = 138.5
Standard deviation of the aptitude test = 10.6
Given three scores extracted from the test are 178,122,100
The average of the extracted scores = ∑x / n
The average of the extracted scores
= [tex]\frac{178 +122 +100}{3}[/tex]
= 133.33
Final answer:-
The average of the extracted scores = 133.33