Answer:
13.9 miles
Step-by-step explanation:
If we draw out the way he drove, the drive from his home to the intersection represents the long leg of a right triangle and the short leg can be represented by his drive from the intersection to the workplace.
A road from his home to work would represent the hypotenuse.
Since we know the distances of the legs, we can use the pythagorean theorem to find the hypotenuse, or the distance of the new road.
Plug in the values:
a² + b² = c²
12² + 7² = c²
193 = c²
13.9 = c
= 13.9 miles
Y=? Please help ASAPPP will mark brainliest
Answer:
y=4
Step-by-step explanation:
5x4=20
20x4=80
80x4=320
and so on
Answer:
y = 5 * 4^x
Step-by-step explanation:
For each iteration of x, the output of y is increased by a multiple of 4.
So we can write the equation y = 5*4^x
Cheers.
A ........... divides a two dimentional shape into two congruent shapes.
Answer:
A rectangle is a two - dimensional shape, so let me explain using it as an example.
The diagonal of a rectangle divides the rectangle into two triangles that are congruent (the same size and shape.)
Another example is parallelogram; the diagonal of a parallelogram also divides the figure into two separate shapes that are congruent.
Hope this helps!
Find the rate of change and describe it in context. # of tickets 5, 6, 7, 8 Total cost 75, 90, 105, 120
Answer:
The cost of 1 ticket is 15 dollars
Step-by-step explanation:
The rate of change is another word for slope
m = (y2-y1)/(x2-x1)
= (90-75)/(6-5)
= 15/1
The cost of 1 ticket is 15 dollars
The rate of change is a ratio that compares the change in y/change in x.
We can see that the y-values increase by 15 each time and
we can see that the x-values increase by 1 each time.
So the change in y/change in x is 15/1.
This means that for every ticket bought, you pay $15.
What is the domain of the function
{(−5,6),(2,−8),(7,12),(−2,−8)}
A.{−5,6,2,−8,7,12,−2}
B.{6,−8,12}
B.{−5,2,7,−2}
B.{6,2,7,12}
Answer:
Domain { -5,2,7,-2}
Step-by-step explanation:
The domain is the input values, in this case the x values
Domain { -5,2,7,-2}
Answer:
{ - 5 , 2 , 7 , - 2 }Option C is the correct option.
Step-by-step explanation:
Domain is the set of all values of x
{( -5 , 6 ) , ( 2 , -8 ) , ( 7 , 12 ) , ( -2 , -8 )
⇒ { - 5 , 2 , 7 , - 2 }
Hope I helped!
Best regards!
6. Do planes GFE and HBC intersect? Explain.
Answer:
yes at line HE.
Step-by-step explanation:
Plane GFE is the plane that contains face EFGH of the prism.
Plane HBC is the plane that contains face BCEH of the prism.
The two planes do intersect, and their intersection is line HE.
At the movie theatre, child admission is $5.50 and adult admission is $8.60. On Wednesday, 131 tickets were sold for a total sales of $946.80 . How many adult tickets were sold that day?
Answer:
73
Step-by-step explanation:
Let a represent the number of adult tickets sold. Then the total revenue was ...
8.60a +5.50(131 -a) = 946.80
8.60a -5.50a +720.50 = 946.80 . . . . eliminate parentheses
3.10a = 226.30 . . . . . . subtract 720.50, collect terms
a = 73 . . . . . . . . . . . . . . divide by 3.10
73 adult tickets were sold that day.
Compund Inequalities. Solve for x. 11x+4 −25 A. -3/2 -3/2 C. x<1 D. There are no solutions. E. All values of x are solutions.
Answer:
A
Step-by-step explanation:
11x + 4 < 15 OR 12x - 7 > -25
11x < 11 OR 12x > -18
x < 1 or x > -1.5
The answer is -3/2 < x < 1.
h(x)=x2+1 k(x)=x-2
(h-k)(3)
Answer:
(h-k)(3) = 9Step-by-step explanation:
h(x) = x² + 1
k(x) = x - 2
To find (h-k)(3) we must first find (h - k)(x)
To find (h - k)(x) subtract k(x) from h(x)
That's
(h - k)(x) = x² + 1 - ( x - 2)
(h - k)(x) = x² + 1 - x + 2
(h - k)(x) = x² - x + 1 + 2
We have
(h - k)(x) = x² - x + 3
To find (h-k)(3) substitute the value of x that's 3 into (h - k)(x) that's replace every x in (h - k)(x) by 3
We have
(h-k)(3) = (3)² - 3 + 3
= 9 - 3 + 3
= 9 - 0
We have the final answer as
(h-k)(3) = 9Hope this helps you
If 20% of a number is 20
find that number
Answer: 100
1. Set a proportion.
[tex]\frac{20}{x} = \frac{20}{100}[/tex]
x = 100
How do I make sure if it is correct?
100 x .2 = 20
Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that are not satisfied. Recording the number of televisions in 150 households
Choose the correct answer below.
A. No, because the probability of success does not remain the same in all trials.
B. Yes, because all 4 requirements are satisfied.
C. No, because there are more than two possible outcomes and the trials are not independent.
D. No, because there are more than two possible outcomes.
Answer:
A. No, because the probability of success does not remain the same in all trials.
Step-by-step explanation:
In this procedure the number of televisions could vary in each house. Some people have one , two, even three or some may not have any. So the number of successes in each trial varies as the number of televisions varies.
Therefore, it is not a binomial distribution. It is necessary that for a binomial distribution the probability of success for each trial remains fixed.
Consider the following information:
Observations 1 2 3 4 5 6
Num. of defects 10 18 13 15 9 12
The number of runs above and below the sample median is:__________
a) 3.
b) 4.
c) none of these.
d) 5.
e) 6.
Answer:
A. 3Step-by-step explanation:
Formula for locating the Median of a grouped data = (N+1)/2 th where
N is the total number of defects.
Total defects = 10+18+13+15+9+12
Total defects = 77
Median value = (77+1)/2 th value
Median value = 78/2 = 39th value.
We will cummulate the frequency (number of defects up to the 38th value) and locate the corresponding observation value.
On cummulating:
10+18+13 = 41
We can see that the value of 38 falls on the third column(13), hence the median will be the equivalent number of observations i.e 3.
Therefore the sample median is 3
Which of the following statments is true regarding the solutions to the quadratic equation 5x^2 +6x+2=0? See picture
Answer:
The quadratic equation has two complex solutions.
Step-by-step explanation:
5x² + 6x + 2 = 0
To know the the correct answer to the question, we shall determine the discriminant of the equation. This can be obtained as follow:
5x² + 6x + 2 = 0
ax² + bx + c = 0
Comparing the above equation, we can obtain:
a = 5
b = 6
c = 2
Discriminant (D) =?
D = b² – 4ac
D = 6² – (4 × 5 × 2)
D = 36 – 40
D = – 4
Since the discriminant of the equation is less than 0, it means that the equation has no real root ( i.e the equation has two complex solution).
Abel and Cedric will share a total of $180. Abel will receive half as much as Cedric. What amount. in dollars, will Cedric receive (Disregard the $ sign when gridding your answer.)
Answer:
Cedric's share=$120
Abel's share=$60
Step-by-step explanation:
Abel will receive half as much as Cedric
Let
Cedric's share=x
Abel's share = 1/2 of x
Total money=$180
x + 1/2x = 180
2x+x/2 =180
3/2x=180
Divide both sides by 3/2
x= 180÷3/2
=180 × 2/3
=360/3
=120
Therefore,
Cedric's share = x = 120
Abel's share=1/2x
=1/2 × 120
=120/2
=60
Cedric's share=$120
Abel's share=$60
If x2 = 20, what is the value of x?
±square root of 10
±square root of 20
±10
±40
Answer:
+ square root of 20 -------> +[tex]\sqrt{20}[/tex]
Step-by-step explanation:
[tex]x^{2}=20[/tex]
[tex]x=\sqrt{20}[/tex]
Answer:
b
Step-by-step explanation:
Name all the sets of -15 The real Numbers
The real numbers is one set, and so is the the set of integers since this set is { ..., -3, -2, -1, 0, 1, 2, 3, ...} composed of positive and negative whole numbers, along with 0.
The value -15 is also in the rational set because we can write it as a fraction of two integers: -15 = -15/1
The 3 answers are: real numbers, integers, rational numbersThe $x$-intercept of a positively-sloped line is -5, and the area of the triangle formed by the line, the $x$-axis, and the $y$-axis is 10. What is the slope of the line?
Answer:
4/5 OR -4/5
Step-by-step explanation:
So, area of triangle = 1/2 * base * height
base = 5 (because x-axis is base, x-intercept is -5, so x-length = 5)
height is unknown
area = 10
We can form the equation: 1/2 * 5 * height = 10
Rearrange terms to get: height (y-height) = 10 / (0.5 * 5) = 4
Following the formula for gradient, dif in y / dif in x, we get 4/5
Therefore our gradient is (4/5), or 0.8.
But because we are only told the x-intercept, it can cross the y axis at y = 4 or y = -4. So there are actually 2 possible gradients, 4/5 and -4/5
One-way Analysis of Variance uses a F test to compare the variance between the treatment level means to the error variance (the pooled variance within levels). For this test, one assumption is that the observations are random samples drawn from normally distributed populations with unequal variances.TrueFalse
Answer:
False
Step-by-step explanation:
The assumption of ANOVA are:
1) the k- samples are selected randomly and independently from the respective populations
2) All the k population from which samples are drawn are normally distributed with means u1,u2, u3,........
3) the observations are random samples drawn from normally distributed populations with equal variances. The technical term for this assumption is Homoscedasticity.
Failure of any assumption will impair the technique. However, minor deviations can be tolerated. Sometimes square roots and logs are used to make assumptions true.
1945 pounds to ounces
Answer:
31120 ounce
Step-by-step explanation:
Answer:31120
Step-by-step explanation:Use google
What is the mean for the set of data
shown below?
27, 32, 14, 19, 24, 26, 22, 32, 29
A 18
C 26
B 25
D 32
Answer:
B) 25
Step-by-step explanation:
First, you add up all the numbers. Then, you divide it by 9 which is the total amount of numbers there are.
Use the drop-down menus to complete each
statement
On the time line, each hash mark represents
years.
The Council of Trent lasted
v years.
>
Answer:
Each hashmark represents 10 years, concil of trent was for 25 years,
pls give thanks and mark brainliest
Answer:
It's TEN and EIGHTEEN.
Step-by-step explanation:
The face of a cat is symmetrical, with the bridge of the nose falling on the line of symmetry
directly between the eyes. If a cat’s right eye is 3 inches from the bridge of its nose, how far is
the cat’s left eye from its right eye?
Answer:
6 inches
Step-by-step explanation:
just make
3 - (-3) = 6
So you will be calculating that distance.
Lisa is framing a rectangular painting the length is three more than twice the width she uses 30 inches of framing material what is the length of the painting right and solve the equation
Answer:
The width is 4 inches
The length is 11 inches
Step-by-step explanation:
Let the width be x inches
Let the length be (2x+3 )inches
Perimeter= 30 inches
therefore, 2(length +breadth)= perimeter
=>2(2x+3+x)=30
=>2(3x+3)=30
=>6x+6=30
=>6x=30-6
=>6x=24
=>x=24/6
=>x=4
The width is 4 inches
The length is 11 inches
To solve this question:
First, we have to understand the concept of perimeter, and how it is calculated for a rectangle.Relating the length and the width of the triangle, and using this to solve the perimeter equation for the length.Doing this, we get that the length of the painting is: 11 inches.
Perimeter of a rectangle:
The perimeter of a polygon is the sum of it's sides.
For a rectangle, as the one given in the picture at the end of this answer, which is of the format of the painting, the perimeter is given by:
[tex]P = 2l + 2w[/tex]
Lisa is framing a rectangular painting the length is three more than twice the width.
This means that:
[tex]l = 3 + 2w[/tex]
Since we want to solve for the length, we write the width as a function of the length, thus:
[tex]2w = l - 3[/tex]
She uses 30 inches of framing material
This means that the perimeter is of 30 inches, that is:
[tex]2l + 2w = 30[/tex]
Since [tex]2w = l - 3[/tex]
[tex]2l + l - 3 = 30[/tex]
[tex]3l = 33[/tex]
[tex]l = \frac{33}{3}[/tex]
[tex]l = 11[/tex]
Thus, the length of the painting is of 11 inches.
A similar question is found at https://brainly.com/question/21894434
Find the slope of the line passing through the points (-5,1) and (2,4).
Enter your answer in as a fraction.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{3}{7} }}}}}[/tex]Step-by-step explanation:
Let the points be A and B
A ( -5 , 1 ) ⇒( x₁ , y₁ )
B ( 2 , 4 )⇒( x₂ , y₂ )
Finding the slope of the line passing through these Points
Slope = [tex] \sf{ \frac{y2 - y1}{x2 - x1} }[/tex]
plug the values
⇒[tex] \sf{ \frac{4 - 1}{2 - ( - 5)} }[/tex]
We know that [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
⇒[tex] \sf{ \frac{4 - 1}{2 + 5} }[/tex]
Subtract 1 from 4
⇒[tex] \sf{ \frac{3}{2 + 5} }[/tex]
Add the numbers
⇒[tex] \sf{ \frac{3}{7} }[/tex]
Hope I helped!
Best regards!!
Give the standard form for 7,000+300+40+2.
Answer:
7,342
Step-by-step explanation:
In the thousands place, we have 7,000
In the hundreds place, we have 300
In the tens place, we have 40
In the ones place, we have 2
Put them each in their place, you will get 7,342. It's also the same as adding all of them together.
Answer:
7342 is the standard form
Step-by-step explanation:
simple!
7000
300
40
+ 2
_______
7432
_______
Hope it helped you! :)
Need help with factoring the trinomial and simplifying
Answer:
Hello
Step-by-step explanation:
From the answer to the second Question...
x²-6x+9 = -13 + 9
Factorize L.H.S
x² - 3x - 3x + 9 = -4
x(x - 3) - 3(x - 3) = -4
(x - 3)(x - 3) = -4
(x - 3)² = -4
Hence the answer is
[tex] \color{purple}{ \boxed{ {(x - 3)}^{2} = - 4}}[/tex]
Answer:
-3 and -4 are the correct answers!!
-10r-20=-20 i need help with this question
Answer:
r = 0
Step-by-step explanation:
To solve this for r, add 20 to both sides. The result will be -10r = 0, and so
the solution is r = 0.
Answer:
0
Step-by-step explanation:
-10r - 20 = -20
-10r = -20 + 20
-10r = 0
r = 0
Find the academic calendar, and then answer: How many days after the end of the course are the final grades published?
Find the academic calendar, and then answer: How many days after the end of the course are the final grades published? Select one:
a. 12 days
b. 7 days
c. 14 days
d. 3 days
Answer:
7 days
Step-by-step explanation:
Take note that under standard practice and based on the information available that it would take up to 7 days after the end of a course for the final grades to be published.
Thus, the correct option is 7 days.
(2x-) + (1/2xy-10) x=4 and y=7
Answer:
0
Step-by-step explanation:
[2(4)-12]+[1/2(4)(7)-10]
(8-12)+(2(7)-10)
-4+14-10
0
What are the two types of hypotheses used in a hypothesis test? type I and type II null and alternative Your answer is correct. left-tailed and right-tailed population and sample How are they related? They sum to zero. One is a subset of the other. They are equal. They are complements.
Answer:
There are two types of hypotheses tests. null and alternative
They are complements.
Step-by-step explanation:
There are two types of hypotheses tests. null and alternative
the table shows the summary of both tests.
True Situation DECISION
Accept H0 Reject H0
(or accept Ha)
H0 is true Correct decision Wrong Decision
(no error) type I error
H0 is false Wrong Decision Correct decision
type II error ( no error)
The probability of making a type I error is conventionally denoted by alpha and that of committing a type II error is indicated by beta.
∝ = P ( type I error) = P (reject H0 / H0 is true)
β = P (type II error) = P (accept H0 / H0 is false)
When ∝ becomes larger, β tends to become smaller . There is inverse relationship between ∝ and β.
When H0 is true Ha is false when Ha is false H0 is true. So they are compliments of each other.
25 PTS BRAINLIEST HELP
Find (f +9) () for the following functions.
f(3) =+2 and g() = 3x - 1
f() = 2x and g (2)
-40 +5
IITT
f() = and g(x) = 2x - 7
f(0) = -3+6 and g(x) = 2x2 + 3x - 5
+ 42 +1
- 63 - 5
= 22 + 3.0 + 1
:: -20 + 3
:: -62? + 10.
:: I? + 2x - 7
:: -322 - 30 +11
:: 32 +51 - 2
:: -2.1 +5
:: 22 - 2x + 7
:: -2x4 - 3x3 + 1722 + 182 - 30
#: 23-71
Answer:
= 22 + 3,0 + 1 = 36
= -20 + 3 = -17
= -62 + 10 = -52
= 2 x (-7) = -14
= (-322) - 30 + 11 = 281
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