Answer:
[tex]3\frac{1}{5}n[/tex] + 4
Step-by-step explanation:
First Step: Write the equation
(3n - 9) + ([tex]\frac{1}{5}[/tex]n + 13) =
Second Step: Combine like terms together
(3n + [tex]\frac{1}{5}[/tex]n) + (-9 + 13)=
Third Step: Simplify
[tex]3\frac{1}{5}n[/tex] + 4
Hope this helped! <3
expand and simplify x(x-3)(x+5)
Answer:
x³ + 2x² - 15x
General Formulas and Concepts:
Algebra I
Expand by FOIL (First Outside Inside Last)Combining Like TermsStep-by-step explanation:
Step 1: Define
x(x - 3)(x + 5)
Step 2: Expand
Distribute x: (x² - 3x)(x + 5)FOIL: x³ + 5x² - 3x² - 15xCombine like terms: x³ + 2x² - 15xOn a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.
Let I = the event that a player in an infielder.
Let O = the event that a player is an outfielder.
Let H = the event that a player is a great hitter.
Which is the correct symbol for the probability that a player is an infielder or is not a great hitter?
a. P(I|¯H)
b. P(¯H|I).
c. P(I or ¯H).
d. P(I and ¯H).
Answer: c. [tex]P(I \text{ or }\overline{H})[/tex]
Step-by-step explanation:
Notation to show "not an event E" : [tex]\overline{E}[/tex]
Given: I = the event that a player in an infielder.
H = the event that a player is a great hitter.
= the event that a player is not a great hitter.
The correct symbol for the probability that a player is an infielder or is not a great hitter : [tex]P(I \text{ or }\overline{H})[/tex]
hence, the correct option is c. [tex]P(I \text{ or }\overline{H})[/tex]
DUE AT 11:59 PLEASE ANSWER NOW
Answer:
g = 6
Step-by-step explanation:
5.2g + 10 = 2.2g + 28 (Given)
3g + 10 = 28 (Subtracted 2.2g on both sides)
3g = 18 (Subtracted 10 on both sides)
g = 6 (Divided 3 on both sides)
To check to make sure you are correct, simply substitute your answer for g:
5.2(6) + 10 = 2.2(6) + 28
31.2 + 10 = 13.2 + 28
41.2 = 41.2
You'll know you're correct if they both equal the same. In this case, the solution works.
LEO has $30. He splits it with his sister in the ratio 3:2. How much money does leo have left?
Answer:
18
Step-by-step explanation:
The number of the students the bus holds, s, is less than 40
Answer:
yes
Step-by-step explanation:
The required expression represents the number of students on the bus would be S < 40.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
According to the question,
The number of students the bus holds, s which is less than 40,
So
S is less than 40
S < 40
[in math we have inequality represent the less than relation or greater than the relation with symbols "<" and ">"]
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convert 240 yards per hour (yd/h) to yards per minute (yd/min).
9514 1404 393
Answer:
4 yd/min
Step-by-step explanation:
Change 1 hour to 60 minutes.
(240 yd)/(1 h) = (240 yd)/(60 min) = 4 yd/min
Rewrite with only sin x and cos x.
sin 2x - cos x
A. 2 sin x cos^2x
B. sin x
C. cos x (2 sin x - 1)
D. 2 sin x
Answer:
sin2x-cosx2sinx.cosx -cosxcosx (2sinx-1)Select the graph that correctly represents ƒ(x) = –2(x + 4)2 – 1.
The graph that correctly represents f(x) = –2(x + 4)² is graph (B).
What is a graph?A graph is a diagram that depicts the connections between two or more objects. A pie chart is a type of graph. In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to connected and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other types of graphs.So, graph of: f(x) = –2(x + 4)²
Then,
f(x) = -2(x + 4)² f(x) = (-2x - 8)²Now, plot (-2x - 8)² on the graph.
(Refer to the graph attached below)
Therefore, the graph that correctly represents f(x) = –2(x + 4)² is graph (B).
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I need help please, this is homework
Answer:
-1 = 11
0 = 13
1 = 15
2 = 17
5 = 23
Step-by-step explanation:
2 (-1) +13 = 11
2 (0) +13 = 13
2 (1) +13 = 15
2 (2) +13 = 17
2 (5) +13 = 23
HELP I DONT UNDERSTAND UGHHH
Step-by-step explanation:
So what you need to do is is how fast they traveled every ten miles once you do that take how fast they traveled every ten miles and multiply it by 9.
So it seems to me that 1 day for most people they walked 10 miles. So if it takes 7 days for them to get there you need to do 90 divided by 7 which will get you your answer.
I hope this helped you understand better!
Answer: 11 3/7 miles per day, and it will take them 7.875 days to go 90 miles
HELP ASAP will give brainly Which of the following lists is in order from smallest to largest?
, 0.04, 25%
0.04, 25%,
, 25%, 0.04
25%, 0.04,
Answer:
0.04, 25%Step-by-step explanation:
25% = 0.25 > 0.04
Therefore the order from smallest to largest is:
0.04, 25%find the length of AB
Answer:
55?
Step-by-step explanation:
........................
Answer:
AB=55
Step-by-step explanation:
9x+1=7x+13
2x=12
x=6
9x+1=9(6)+1
55
Use the table below to answer the following questions:
What is the slope? (Write only the number)
What is the y-intercept? (Write only the number)
Write a linear equation y=mx + b to represent the table:
Answer:
Y = x + 10
Slope - 1/2
y-intercept - (0,10)
Y = 2x + 12
slope 2/1
y intercept (0,10)
Y = 4 x + 14
Slope 4/1
Y intercept (0,14)
Step-by-step explanation:
Which country boarders the Horn of Africa in the West?
The answer is Ethiopia.
There are 4 countries in the horn of Africa.They are Eritrea,Ethiopia,somalia and Djibouti
Jan 04, 12:41:42 AM
The measures of the angles of a triangle are shown in the figure below. Solve for x
75°
63°
Answer:
x = 20
Step-by-step explanation:
The sum of angle of a triangle is 180. Taking the sum of the angles and equating to 180 will give:
75 + 63 + 4x+2 = 180
138+2+4x = 180
140+2x = 180
2x = 180=140
2x = 40
x = 20
Hence the value of x is 20
which values for x and y satisfy the following equations
y=x-1 and 2x + y=8
Which equation has infinitely many solutions?
A.
-5(x + 2) = -4x- 12 - X + 2
B.
3x- 4 + 2x = 5(x-4)
c. 5(x + 7) = -5(x-7)
D
6x+ 2 - X=-2x - 2 + 7x
Answer:
A. -5(x + 2) = -4x - 12 - x + 2
Step-by-step explanation:
The equation that has infinitely many solutions will be the same on both sides.
A is the correct answer.
Simplify the equation by distributing -5 and adding like terms:
-5(x + 2) = -4x - 12 - x + 2
-5x - 10 = -4x - 12 - x + 2
-5x - 10 = -5x - 10
So, this equation is the same on both sides and will have infinitely many solutions.
A is the correct answer.
Answer:
A has infinitely many solutions
Step-by-step explanation:
Once you distribute A you get
-5x-10= -4x-12-x+2
Once you simplfy all that you get
-5x-10= -5x-10
You can check this by putting in a random number and both sides will be equal.
Josh is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 3 sizes, 2 flavors, and 2 toppings to choose
from. How many different ice cream desserts could he order?
Step-by-step explanation:
So if there are 3 sizes, 2 flavors and 2 Toppings to choose from, then there are
3 * 2 * 2 possible combinations
For example:
S = 3 sizes
F = 2 flavours
T = 2 toppings
Then there are 3 * 2 * 2 = 12 possible combinations
What is this? Please answer with an explanation
Answer:
No
Step-by-step explanation:
Given
f(x) = [tex]\sqrt{x-10}[/tex] + 11 ← substitute x = 1
f(1) = [tex]\sqrt{1-10}[/tex] + 11
= [tex]\sqrt{-9}[/tex] + 11
[tex]\sqrt{-9}[/tex] is not real and therefore x = 1 does not have a real output for f(x)
Find the equation of the graphed line.
a. y = x1/2 x2
b. y = -2x-4
c. y = 4x -2
d. y = -4x = 2
The measure of <1
I don’t understand how to solve
Answer:
<1=55°
Step-by-step explanation:
180-125=55
25-[20-{10-(7-5-3)}]=
Answer:
16
Step-by-step explanation:
When there are more than 1 brackets , there is a specific order of opening those brackets. First we open the bar , then round brackets , then curly brackets & then square brackets.
Using the order , let's solve this.
25-[20-{10-(7-5-3)}]
=> 25-[20-{10-(7 - 8)}]
=> 25-[20-{10 - (-1)}]
=> 25-[20- {10 + 1} ]
=> 25-[20 - {11}]
=> 25 - [ 20 - 11 ]
=> 25 - [9]
=> 25 - 9
=> 16
Al’s dog breathed 130 times in 5 minutes. At this rate, how many breaths should his dog take in 60 minutes?
Answer:
1560 breaths
Step-by-step explanation:
130/5=26
26*60
1560 breaths
A ladder that has a length of 13 m leans against a wall with the base of the ladder 5 m away from the bottom of the wall. Use this information to find how high above the ground the ladder meets the wall
Answer:
did you find the answer ??
The required height of the wall where the ladder meets the wall is 12 m.
Given that,
A ladder that has a length of 13 m leans against a wall with the base of the ladder 5 m away from the bottom of the wall. Use this information to find how high above the ground the ladder meets the wall is to be determined.
In a right-angled triangle, its side, such as hypotenuse, perpendicular and base is Pythagorean triplets.
Here,
Let the height be h,
Applying Pythagoras' theorem,
h = √[13²-5²]
h = √169-25
h = √144
h = 12
Thus, the required height of the wall where the ladder meets the wall is 12 m.
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find the difference between 760 and 188
Answer:
572
Step-by-step explanation:
Work :
Which of these expressions is equivalent to?
Number 4
Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that the patient has the condition. A negative test (−) indicates that the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 200 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for the condition are shown.
Assume the sample is representative of the entire population. For a person selected at random, compute the following probabilities. (Enter your answers as fractions.) Test Result Test Result Column Total Condition Present 105 24 129 Condition Absent 25 46 71
(a) P(+ condition present): this is known as the sensitivity of a test.
(b) P(- | condition present); this is known as the false-negative rate.
(c) Pcondition absent); this is known as the specificity of a test.
(d) P(+ | condition absent); this is known as the false-positive rate
(e) Prcondition present and +); this is the predictive value of the test
(f) P(condition present and-)
Answer:
a. 105/130
b. 25/130
c. 46/70
d. 24/70
e. 105/200
f. 25/200
Step-by-step explanation:
A.
P(+|condition present)
= Prob(+ and condition present)/condition present
= 105/130
B.
P(-|condition present)
= Prob(- and condition present)/condition present
= 25/130
C.
P(-|condition absent)
= Prob(- and condition absent)/condition absent
= 46/70
D.
P(+ | condition absent)
= Prob(+ and condition absent)/condition absent
= 24/70
E.
P(condition present and +)
= 105/200
F.
P(condition present and -)
= 25/200
2. The graph below shows how the water level of a swimming pool changes as the pool is
filled with water. What does the slope of the graph represent?
7
6
Depth of Water In
Swimming Pool (In foot)
N
1 2 3 4 5 6 7
Time (in hours)
A the time it takes to fill the pool completely
B. the maximum depth of the water in the pool
C. the rate at the pool fills in feet per hour
D. the rate at which the pool fills in hours per foot
Answer:
C. the rate at the pool fills in feet per hour
Step-by-step explanation:
Given
The attached graph
Required
What does the slope represent?
The slope of any graph can be calculated using:
[tex]Slope = \frac{Rise}{Run}[/tex]
Where:
Rise = The change in the vertical axis
Run = The change in the horizontal axis within the same interval as the Rise
The vertical axis measures depth in feet and the horizontal axis measures time in hour.
So:
[tex]Slope = \frac{Depth}{Time}[/tex]
or
[tex]Slope = \frac{Feet}{Hour}[/tex]
This means that the slope measures rate in feet per hour
Each pair of figures is similar. Find the missing length. Round to the nearest tenth where necessary.
Answer:
x=5 and n=36
Step-by-step explanation:
For the first question: 32/8 = 4/1
4/1 = 20/x
4x = 20
x = 5
For the second question: 63/81 = 21/27
21/27 = 28/x
21x = 756
x = 36
Suppose we want to test to see if a roulette wheel is balanced. The wheel is spun 100 time resulting in 58 red outcomes. Is this evidence that the roulette wheel is out of balance
Solution :
Here, [tex]$ \hat p$[/tex] = sample proportion of red outcomes
[tex]$ \hat p =\frac{58}{100}$[/tex]
[tex]$ \hat p$[/tex] = 0.58
So we have to test,
[tex]$H_0 : p = 0.5$[/tex]
V/S [tex]$H_a: p \neq 0.5 $[/tex]
The test statistic is
[tex]$z = \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n}}}$[/tex]
[tex]$z = \frac{0.58 - 0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$[/tex]
[tex]$=\frac{0.08}{0.05}$[/tex]
= 1.600
P value using the z table is 0.110
So P value greater than 0.05
Therefore, there is no evidence that roulette wheel is out of balance.