Answer:
[tex]f(3) =-8[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 2x + 5; x<1[/tex]
[tex]f(x) =-3x + 1; x >1[/tex]
Required
Determine f(3)
f(3) implies that x = 3.
We make use of
[tex]f(x) =-3x + 1[/tex]
Because x >1 (i.e. 3 > 1)
Substitute 3 for x in f(x) =-3x + 1
[tex]f(3) =-3*3 + 1[/tex]
[tex]f(3) =-9 + 1[/tex]
[tex]f(3) =-8[/tex]
Simplify the expression by combining like terms 18z +9z
Answer:
z(18+9)=z*27=27z
Step-by-step explanation:
Answer:
(18+9)*z=27z
Step-by-step explanation:
Twelve people waited more than 45 minutes.
How many people waited between 10 and 30 minutes?
which point on the scatter plot represents the outlier ?
Answer:
The point that represents the outlier is “B”
Step-by-step explanation:
I know it because I just did it and got it right. Hope it helps!
Answer:
B
Step-by-step explanation:
I know because i got it correct
Cirrus clouds form more than 6,000 meters above earth. Write an inequality to represent h, the height in meters, of cirrus clouds.
(Remember, you need to hold Shift to get the inequality symbols on your keyboard.)
If you did not read carefully, you must use h as the variable in your inequality, or it will be marked incorrect. Plssss help!! 20 points1!!!
Answer:
no lo se no se mucho de ingles
Step-by-step explanation:
lo siento
i will be back to help you guys
Answer:
thx u xox ur so sweet
Step-by-step explanation:
solve the equation
0.2 = -20a
Answer:
a=-0.01
Step-by-step explanation:
Divide by -20 on both sides:
0.2/-20=-20a/-20
which will be:
-0.01=a
Answer:
a=−0.01
Step-by-step explanation:
Geometry help please
Answer:
the pink triangle is the answer, just know that each 90° will be the next quadrant.
Tamanika received a raise in her hourly pay, from $14.00 to $18.34. Find the percent change.
I’m having trouble trying to answer this question what is 68×70 this app it helps you work it gives you answers it’s not a cheating thing I should have said that
Answer:
4760.
Step-by-step explanation:
68 x 10: 680
680 x 7: 4760
Answer:
4760
Step-by-step explanation:
Is 3.5 and 3.55 a equivalent decimal?
A tree casts a 16-foot-long shadow on level ground. A forestry student uses a clinometer to determine that the sun is at a 70° angle of elevation.
What is the height of the tree to the nearest whole foot?
Use the on-screen keyboard to enter the number in the box below.
Answer:
Tree is [tex]43.84[/tex] feet tall
Step-by-step explanation:
Shadow casted by tree [tex]= 15[/tex] feet
Angle of elevation of sun [tex]= 70[/tex] degrees
Tangent of angle of elevation is equal to the ration of height of tree and its shadow
tan [tex]70 = \frac{t}{16}[/tex]
Height of the tree is equal to [tex]16 *[/tex] tan [tex]70[/tex]
Height of the tree [tex]= 16 * 2.74 = 43.84[/tex] feet
Classify the following triangle. Check all that apply.
7
9
11.4
A. obtuse
B. scalene
C. right
D. isosceles
E. acute
F equilateral
Answer:
E. Acute
Step-by-step explanation:
Hope it helps
Halla el FCM de 44 y 88 usando factorización prima.
Previous balance: $1,221.35; payment: $300; new purchases: $25.90 and$18.53; periodic rate: 1.75%
Answer:
1478.67
Step-by-step explanation:
A growth-mindset researcher plans to take an SRS of 200 teenagers from the population of teenagers in North America to see what proportion of teenagers sampled are pursuing a goal they have set for themselves. Suppose that 75% of teenagers in North America are pursuing a goal they have set for themselves. Let p represent the proportion of a sample of 200 teenagers in North America who are pursuing a goal they have set for themselves. What are the mean and standard deviation of the sampling distribution of p?
Answer:
The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.
Step-by-step explanation:
Central Limit Theorem:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
75% of teenagers in North America are pursuing a goal they have set for themselves.
This means that [tex]p = 0.75[/tex]
Sample of 200.
This means that [tex]n = 200[/tex].
What are the mean and standard deviation of the sampling distribution of p?
By the Central Limit Theorem
Mean [tex]\mu = p = 0.75[/tex]
Standard deviation [tex]s = \sqrt{\frac{0.75*0.25}{200}} = 0.0306[/tex]
The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.
Find the y-intercept of a line parallel to 8x – 2y = 12 and passes through the point (5, 3).
Answer:
-17
Step-by-step explanation:
8x -2y= 12
Divide the whole equation by 2:
4x -y= 6
Rewrite the equation into the slope-intercept form (y=mx+c, where m is the gradient while c is the y-intercept).
-y= -4x +6
y= 4x -6
Thus, gradient of given line= 4.
Since parallel lines have the same gradient, gradient of line= 4.
y= 4x +c
To find the y-intercept of the lone, substitute a pair of coordinates.
When x=5, y=3,
3= 4(5) +c
3= 20 +c
c= 3 -20
c= -17
Thus, the y-intercept of the line is -17.
Please help geomtry!
Answer:
13
Step-by-step explanation:
By angle bisector property:
[tex] \frac{28}{49} = \frac{12}{2x + 7 - 12} \\ \\ \frac{4}{7} = \frac{12}{2x - 5} \\ \\ 4(2x - 5) = 12 \times 7 \\ \\ 8x - 20 = 84 \\ \\ 8x = 84 + 20 \\ \\ 8x = 104 \\ \\ x = \frac{104}{8} \\ \\ x = 13[/tex]
A standard fair dice is rolled twice.
What is the probability of getting an even number on the first roll and any prime number on the other?
what is the integer -5/12 x -6/35= ?
Step-by-step explanation:
[tex]( - \frac{5}{12} )( - \frac{6}{35}) \\ = ( \frac{5}{12} )( \frac{6}{35} ) \\ = ( \frac{5}{35} )( \frac{6}{12} ) \\ = ( \frac{1}{7} )( \frac{1}{2} ) \\ = \frac{1}{14} [/tex]
A)180.48 m2
B)180.48 m
C)80.48 m2
D)80.48 m
Answer:
80.48m2
Step-by-step explanation:
I think this is right but it may be wrong.
Pier 1 Imports is running a 10% sale on furniture. If Amanda spent $378.99 on furniture before tax, what was the price of the furniture before the discount and tax?
Answer:
$421.10
Step-by-step explanation:
If the discount is 10%, that means the sale price is 90% of the original price.
Write the equation that represents that:
378.99 = 0.9x. Solve for x. Divide both sides by 0.9
378.99/0.9 = 421.10
That is the price before the discount and tax.
Weary of the low turnout in student elections, a college administration decides to choose an SRS of three students to form an advisory board that represents student opinion. Suppose that 48% of all students oppose the use of student fees to fund student interest groups, and that the opinions of the three students on the board are independent. Then the probability is 0.48 that each opposes the funding of interest groups.Call the three students A, B, and C. Give the probability of each possible outcomes (AcBcCc are the events that the students support the student fee usage).Pr(ABC) = _____Pr(ABCc) = _____Pr(ABcC) = _____Pr(AcBC) = _____Pr(ABcCc) = _____Pr(AcBCc) = _____Pr(AcBcC) = _____Pr(AcBcCc) = _____
Answer:
[tex]P(ABC) = 0.110592[/tex]
[tex]P(ABC^c) = 0.119808[/tex]
[tex]P(AB^cC) = 0.119808[/tex]
[tex]P(A^cBC) = 0.119808[/tex]
[tex]P(AB^cC^c) = 0.129792[/tex]
[tex]P(A^cBC^c) = 0.129792[/tex]
[tex]P(A^cB^cC) = 0.129792[/tex]
[tex]P(A^cB^cC^c) = 0.140608[/tex]
Step-by-step explanation:
Given
[tex]P(A) = P(B) = P(C) = 48\%[/tex]
Convert the probability to decimal
[tex]P(A) = P(B) = P(C) = 0.48[/tex]
Solving (a): P(ABC)
This is calculated as:
[tex]P(ABC) = P(A) * P(B) * P(C)[/tex]
This gives:
[tex]P(ABC) = 0.48*0.48*0.48[/tex]
[tex]P(ABC) = 0.110592[/tex]
Solving (b): [tex]P(ABC^c)[/tex]
This is calculated as:
[tex]P(ABC^c) = P(A) * P(B) * P(C^c)[/tex]
In probability:
[tex]P(C^c) = 1 - P(C)[/tex]
So, we have:
[tex]P(ABC^c) = P(A) * P(B) * (1 - P(C))[/tex]
[tex]P(ABC^c) = 0.48 * 0.48 * (1 - 0.48)[/tex]
[tex]P(ABC^c) = 0.48 * 0.48 * 0.52[/tex]
[tex]P(ABC^c) = 0.119808[/tex]
Solving (c): [tex]P(AB^cC)[/tex]
This is calculated as:
[tex]P(AB^cC) = P(A) * P(B^c) * P(C)[/tex]
[tex]P(AB^cC) = P(A) * [1 - P(B)] * P(C)[/tex]
[tex]P(AB^cC) = 0.48 * (1 - 0.48)* 0.48[/tex]
[tex]P(AB^cC) = 0.48 * 0.52* 0.48[/tex]
[tex]P(AB^cC) = 0.119808[/tex]
Solving (d): [tex]P(A^cBC)[/tex]
This is calculated as:
[tex]P(A^cBC) = P(A^c) * P(B) * P(C)[/tex]
[tex]P(A^cBC) = [1-P(A)] *P(B) * P(C)[/tex]
[tex]P(A^cBC) = (1 - 0.48)* 0.48 * 0.48[/tex]
[tex]P(A^cBC) = 0.52* 0.48 * 0.48[/tex]
[tex]P(A^cBC) = 0.119808[/tex]
Solving (e): [tex]P(AB^cC^c)[/tex]
This is calculated as:
[tex]P(AB^cC^c) = P(A) * P(B^c) * P(C^c)[/tex]
[tex]P(AB^cC^c) = P(A) * [1-P(B)] * [1-P(C)][/tex]
[tex]P(AB^cC^c) = 0.48 * [1-0.48] * [1-0.48][/tex]
[tex]P(AB^cC^c) = 0.48 * 0.52*0.52[/tex]
[tex]P(AB^cC^c) = 0.129792[/tex]
Solving (f): [tex]P(A^cBC^c)[/tex]
This is calculated as:
[tex]P(A^cBC^c) = P(A^c) * P(B) * P(C^c)[/tex]
[tex]P(A^cBC^c) = [1-P(A)] * P(B) * [1-P(C)][/tex]
[tex]P(A^cBC^c) = [1-0.48] * 0.48 * [1-0.48][/tex]
[tex]P(A^cBC^c) = 0.52 * 0.48 * 0.52[/tex]
[tex]P(A^cBC^c) = 0.129792[/tex]
Solving (g): [tex]P(A^cB^cC)[/tex]
This is calculated as:
[tex]P(A^cB^cC) = P(A^c) * P(B^c) * P(C)[/tex]
[tex]P(A^cB^cC) = [1-P(A)] * [1-P(B)] * P(C)[/tex]
[tex]P(A^cB^cC) = [1-0.48] * [1-0.48] * 0.48[/tex]
[tex]P(A^cB^cC) = 0.52 * 0.52 * 0.48[/tex]
[tex]P(A^cB^cC) = 0.129792[/tex]
Solving (h): [tex]P(A^cB^cC^c)[/tex]
This is calculated as:
[tex]P(A^cB^cC^c) = P(A^c) * P(B^c) * P(C^c)[/tex]
[tex]P(A^cB^cC^c) = [1-P(A)] * [1-P(B)] * [1-P(C)][/tex]
[tex]P(A^cB^cC^c) = [1-0.48] * [1-0.48] * [1-0.48][/tex]
[tex]P(A^cB^cC^c) = 0.52*0.52*0.52[/tex]
[tex]P(A^cB^cC^c) = 0.140608[/tex]
Write an expression equivalent to the one below
-2m-8+4(3m-9)
Answer:
Step-by-step explanation:
Distribute the 4 into the parentheses.
[tex]-2m-8+12m-36[/tex]
Combine like terms
[tex]10m-44[/tex]
Answer:
10m - 44
Step-by-step explanation:
Apply the distributed property: 12m - 36Re-write expression: -2m - 8 + 12m - 36-2m + 12m = 10m8 + 36 = 44Put them together: 10m - 44I hope this helps!
Amani is trying to find the value of the 4th coefficient in the 10th row of Pascal's Triangle. Which of the following could be the binomial that Amani is trying to expand?
Answer:
Step-by-step explanation:
all of the numbers in the nth row are coefficients in the expansion of (a+b)^n
Answer:
(2x+3)10!
Step-by-step explanation:
HELP ME PLEASE
What is the value of the expression 9 + StartFraction n Over 3 EndFraction minus 6 when n = 12?
1
5
7
12
Answer:
[tex]9 + \frac{n}{3} - 6 = 7[/tex]
Step-by-step explanation:
Given
[tex]9 + \frac{n}{3} - 6[/tex]
Required
Evaluate when n = 12
Substitute 12 for n in [tex]9 + \frac{n}{3} - 6[/tex]
[tex]9 + \frac{n}{3} - 6 = 9 + \frac{12}{3} - 6[/tex]
Simplify the fraction
[tex]9 + \frac{n}{3} - 6 = 9 + 4 - 6[/tex]
[tex]9 + \frac{n}{3} - 6 = 7[/tex]
Your answer is 7,
Known:n=12
So 12/3
First, we need to simplify 12/3
To simplify this, all we need to do is divide 12 by 3
12÷3=4
3 goes into 12 4 times.
So now our eqation is
9+4-6
9+4 is 13
13-6 is 7
Hope this helps
~`Learning with Natalia`~
Solve the following rational equation for x.
2x-3/5 = x-2/4
Answer:
x=0.1
Step-by-step explanation:
1. To earn some extra money, Ben mows lawns for people in his neighborhood.
He earns $18 per lawn and has saved $200 for the season.
Write an algebraic equation to represent this situation.
Use your equation to determine how much Ben will earn for 21 lawns.
2.Bubba is trying to gain weight. He eats a 400 calorie breakfast each day then eats snacks all day. Each snack is 120 calories.
Write and solve an equation for the number of snacks eaten.
Solve for if bubba consumes 3,160 calories today.
Answer:
1. 18x+200
If x=21, answer: 578$
2. (3160-400)/ 120=x
x=23
Step-by-step explanation:
1) Which property is used in the following ? 4 * (3 + 6) - 4* 3 - 4 x 6
A. Commutative Property
B. Associative Property
C. None of the above
D. Distributive Property
16 ) Which of the following does not show the Commutative Property ?
There are 10 years in 1 decade. Deron is 2 decades, 4 years, and 8 months old. His brother John is half as old. How old is John?
Answer:
John is 1 decade, 2 years, and 4 months old
Step-by-step explanation:
Since we knot that John is half as old we just have to divide Derons age by two, and we will do that by dividing the number of decades, a number of years, and a number of months by two, and so we get that John is...
(2/2) decades, (4/2) years, and (8/2) months old =
= 1 decades, 2 years, and 4 months old
John is 1 decades, 2 years, and 4 months years old.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
There are 10 years in 1 decade.
And, Deron is 2 decades, 4 years, and 8 months old.
Since, His brother John is half as old.
Hence, Age of John is,
⇒ (2 decades, 4 years, and 8 months) / 2
⇒ 1 decades, 2 years, and 4 months
Thus, John is 1 decades, 2 years, and 4 months years old.
Learn more about the divide visit:
https://brainly.com/question/28119824
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13) Find the values of x and y.
Answer:
x = 64°
y = 71°
Step-by-step explanation:
✔️x = 180 - 2(58) (isosceles triangle)
x = 180 - 116
x = 64°
✔️y + 45° + x = 180° (angles on a straight line)
y + 45° + 64° = 180° (substitution)
y + 109 = 180°
y = 180° - 109°
y = 71°