Answer:
3/4x=12
3=4x*12
3=48x
3/48x=1/16
x=1/16
Which expressions represent the product of a variable and a coefficient? Choose 3 answers: Choose 3 answers: (Choice A) A 11c11c11, c (Choice B) B \dfrac{1}{2}t 2 1 tstart fraction, 1, divided by, 2, end fraction, t (Choice C) C 5\cdot 105⋅105, dot, 10 (Choice D) D j\cdot 4j⋅4j, dot, 4
Question:
Which expression represents the product of a variable and coefficient?
Choose 3 answers
(A) 11c
(B) 1/2 t
(C) 5•10
(D) j•4
Answer:
(A) 11c
(B) 1/2 t
(D) j•4
Step-by-step explanation:
Required
Expression for variable and coefficient product
In algebra:
A coefficient can be anything (number of alphabets). However, a variable is always represented with an alphabet
Having said that:
Analyze each of the options
(A) 11c
Here, we have:
[tex]Variable = c[/tex]
[tex]Coefficient = 11[/tex]
(B) 1/2 t
Here, we have:
[tex]Variable = t[/tex]
[tex]Coefficient = 1/2[/tex]
(C) 5•10
Here, 5 and 10 are not variables
(D) j•4
Here, we have:
[tex]Variable = j[/tex]
[tex]Coefficient = 4[/tex]
So, the correct options are: (A), (B) and (D)
Answer:
A
B
D
Step-by-step explanation:
Pretty sure
4.
In a certain state, license plates have 2 letters followed by 5 digits. How many different license plates
are possible if
a) digits and letters can be repeated?
b)
digits and letters cannot be repeated?
Answer: A) 26_ 26 10_10_10_10_10 = 67,600,000
B) 26_25 10_9_8_7_6 = 19,656,000
Step-by-step explanation: A) There's exactly 26 letters in the Alphabet and it wants us to repeat it, so write 26_26. Since it's also asking for a 5 digits, write 10 five times because there's only 10 digits; 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Multiply the Numbers all-together which is equals 67,600,000.
B). Again, since the License plate has 2 letters, write the Number twice. However it cannot be repeated, so write 26_25. As for the 5 digits write the Number 5 times, but it also can't be repeated, so write 10_9_8_7_6 (Use commas if you want). Then Multiply the Numbers all-together which equals 19,656,000.
A company negotiator claims that only 35% of union members will support a strike, but a union rep believes that the true percentage is greater and runs a hypothesis test. What are the hypothesis statements for this situation?
A. H0: p < 0.35; Ha: p = 0.35
B. H0: p = 0.35; Ha: p < 0.35
C. H0: p > 0.35 ; Ha: p = 0.35
D. H0: p = 0.35; Ha: p > 0.35
Answer:
[tex](d)[/tex] [tex]H_o: p = 0.35[/tex] [tex]H_a: p > 0.35[/tex]
Step-by-step explanation:
Given
[tex]\mu = 35\%[/tex]
Required
The hypothesis statements
First claim: 35% will support a strike.
This represents the null hypothesis
[tex]H_o: p = 0.35[/tex]
Second claim: A greater percentage will support the strike.
This represents the alternate hypothesis
[tex]H_a: p > 0.35[/tex]
PLZ HELP THIS IS TIMED;((((((
Answer:
34
Step-by-step explanation:
Diameter is twice length of radius
Answer:
Diameter=34 cm
D.
Step-by-step explanation:
Diameter=radius*2
17*2=34 cm
Find the median for each set of data. Round to the nearest tenth if necessary.
15, 42, 28, 32, 30, 34
A) 35
B) 37
C) 30
D) 31
Answer: The answer I got was D) 31
Step-by-step explanation:
Hope this helps!!!!!
Can someone please help me with math.
Ted Stamos rented a minivan for 4 days for $88.00 per day plus $0.20 a mile for all miles
over 200. He drove 75, 120, 85, and 140 miles on the days rented. He paid a CDW fee of
$18.50 per day and $61.83 for gasoline. What is the (a) total cost, and (b) cost per mile?
Step-by-step explanation:maybe try diciding
Given: cos θ > 0, csc θ < 0
Which quadrant does θ lie?
A.) I
B.) II
C.) III
D). IV
If 54% of all people between the ages of 35 and 50 ride a bike, find the probability for a sample of 30 people in that age group exactly 15 ride a bike
Answer:
The probability is 0.1312
Step-by-step explanation:
Here, let us set up a binomial system
From the question, 54% ride a bike
Let p = people that rides a bike
54% = 54/100 = 0.54
p = 0.54
q = 1 - p = 1 -0.54 = 0.46 ( 46% do not ride bikes)
Now, for the binomial system, we have
P(X = 15) = 30 C 15 • p^15•q^15
We have;
30 C 15 * 0.54^15 * 0.46^15
= 0.131200268998
The probability is 0.1312
Penn State extension is interested in comparing the body length southern grass cicadas and citrus cicadas. The extension collected a random sample of 20 southern grass cicadas and found that they have a mean body length of 16.22 millimeters and a standard deviation of 1.34 millimeters. A separate random sample of 20 citrus cicadas resulted in a mean body length of 13.41 millimeters and a standard deviation of .73 millimeters. What is the standard error of the difference parentheses southern grass minus citrus) between the sample means
Answer:
The standard error between the sample mean is approximately 0.3412
Step-by-step explanation:
The equation for the standard error of a difference in sample mean of equal sample sizes is given as follows;
[tex]SE(\overline x_1 - \overline x_2)={\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The given parameters are;
The number of sample of southern grass cicadas, n₁ = 20
The mean body length of the southern grass cicadas, [tex]\overline x _1[/tex] = 16.22 mm
The standard deviation, s₁ = 1.34 mm
The number of sample of citrus cicadas, n₂ = 20
The mean body length of the citrus cicadas, [tex]\overline x _2[/tex] = 13.41 mm
The standard deviation, s₂ = 0.73 mm
[tex]SE(16.22 - 13.41)={\sqrt{\dfrac{1.34^{2} }{20}+\dfrac{0.73^{2}}{20}}} \approx 0.3412[/tex]
The standard error between the sample mean, SE ≈ 0.3412
A string requires 186n of force to break a 1.5 kg mass is tied to the string
Write the equation of the line that is perpendicular to y = -2/3 x +2 and goes through the point (-1, 4). Make sure your final answer is in slope-intercept form
Given:
The equation of a line is
[tex]y=-\dfrac{2}{3}x+2[/tex] ...(i)
The perpendicular line passes through the point (-1,4).
To find:
The equation of the perpendicular line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
[tex]m=-\dfrac{2}{3}[/tex]
Product of slopes of two perpendicular lines is -1.
Let the slope of perpendicular line is [tex]m_1[/tex].
[tex]m\times m_1=-1[/tex]
[tex]-\dfrac{2}{3}\times m_1=-1[/tex]
[tex]m_1=\dfrac{3}{2}[/tex]
The slope of the perpendicular line is [tex]m_1=\dfrac{3}{2}[/tex] and it passes through the point (-1,4). So, the equation of the line is:
[tex]y-y_1=m_1(x-x_1)[/tex]
[tex]y-4=\dfrac{3}{2}(x-(-1))[/tex]
[tex]y-4=\dfrac{3}{2}(x+1)[/tex]
[tex]y-4=\dfrac{3}{2}x+\dfrac{3}{2}[/tex]
Add 4 on both sides.
[tex]y-4+4=\dfrac{3}{2}x+\dfrac{3}{2}+4[/tex]
[tex]y=\dfrac{3}{2}x+\dfrac{3+8}{2}[/tex]
[tex]y=\dfrac{3}{2}x+\dfrac{11}{2}[/tex]
Therefore, the equation of required line is [tex]y=\dfrac{3}{2}x+\dfrac{11}{2}[/tex].
Use the equation below to answer the division question. A/b+(1/4x1/b)=1/2 What is 1/2 divided by a/b?
Answer:
[tex]\mathbf{\dfrac{2b- 1}{2b}}[/tex]
Step-by-step explanation:
[tex]\text{The given equation is:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4} \times \dfrac{1}{b}) = \dfrac{1}{2}[/tex]
[tex]\text{To find:}[/tex]
[tex]\dfrac{1}{2} } \div {\dfrac{a}{b} }[/tex]
[tex]\text{From the given equation:}[/tex]
[tex]\dfrac{a}{b}+ (\dfrac{1}{4b}) = \dfrac{1}{2}[/tex]
[tex]\dfrac{a}{b} = \dfrac{1}{2} - (\dfrac{1}{4b})[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{(2) (4b)}[/tex]
[tex]\dfrac{a}{b} = \dfrac{4b- 2}{8b}[/tex]
[tex]\text{Now; the value of}[/tex] [tex]\dfrac{a}{b} \div \dfrac{1}{2}[/tex]
∴
[tex]\implies \dfrac{4b- 2}{8b} \div \dfrac{1}{2}[/tex]
[tex]\implies \dfrac{4b- 2}{8b} \times \dfrac{2}{1}[/tex]
[tex]\implies \dfrac{4b- 2}{4b}[/tex]
[tex]\implies \dfrac{2b- 1}{2b}[/tex]
6) Ty is saving for college. His goal is to save 750 dollars each year and he wants to set
aside the same amount each month.
How much should Ty save per month?
• To meet his goal. Ty needs to save 3
per month
Answer:
ty should save $62.50 a month to meet his goal
What is the area of the parallelogram?
Peter buys tickets for his family to see his favorite movie, Elephant Mistake. He pays $37.50 for 2 adult tickets and 2 student tickets. The next week he goes back with his friends and pays $35.25 for 1 adult ticket and 3 student tickets. Choose the system of equations that can be solved to find the price of an adult ticket, x, and the price of a student ticket, y.
Answer:
the price of adult ticket and student ticket be $10.50 and $8.25 respectively
Step-by-step explanation:
Let us assume the price of adult ticket be x
And, the price of student ticket be y
Now according to the question
2x + 2y = $37.50
x + 3y = $35.25
x = $35.25 - 3y
Put the value of x in the first equation
2($35.25 - 3y) + 2y = $37.50
$70.50 - 6y + 2y = $37.50
-4y = $37.50 - $70.50
-4y = -$33
y = $8.25
Now x = $35.25 - 3($8.25)
= $10.5
Hence, the price of adult ticket and student ticket be $10.50 and $8.25 respectively
A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
b. What is the slope-intercept equation of the line that fits this information?
Answer: y = 10x + 30 is the correct answer
A race takes 3 hours to complete. If the
bikers were traveling at a constant speed, and
traveled 45 miles, how fast were the bikers
traveling?
Answer:
Speed is equals to distance divided by time
ie
45 ÷ 3
you get 15 miles per hour
Answer:
15 miles per hour
Step-by-step explanation:
Speed = distance travelled / time taken
= 45 / 3
=15
What does a perimeter of this figure consist of? Please help asap please
Answer:
i think its the third section choice
An airplane climbs at an angle of 11 decrease with the ground. Find the ground distance it has traveled when it has attained an altitude of 400 ft.
A. 2057.82
B. 407.49
C. 76.32
D. 2096.34
Step-by-step explanation:
yall lazy figure this out yourself
In a survey of 1000 eligible voters selected at random, it was found that 100 had a college degree. Additionally, it was found that 80% of those who had a college degree voted in the last presidential election, whereas 56% of the people who did not have a college degree voted in the last presidential election. Assuming that the poll is representative of all eligible voters, find the probability that an eligible voter selected at random will have the following characteristics. (Round your answers to three decimal places.)
Answer:
A. 8%
B. 39.6%
C. 58.4%
D. 41.6%
Step-by-step explanation:
Computation to determine the probability of eligible voter selected at random
First step is to Draw up a contingincy table which will include Rows = Degree/No degree
and Columns= Vote/Not vote
..............Vote..No vote
Degree 80...20...100
(80%*100=80)
(100-80=20)
No Degree 504..396..900
(1000-100=900)
(56%*900=504)
(504-900=396
Totals 584..416...1000
(80+504=584)
(20+396=416)
(900+100=1,000)
Summary
..............Vote..No vote
Degree 80...20...100
No Degree 504..396..900
Total Totals 584..416...1000
A. Calculation to determine the probability of The voter had a college degree and voted in the last presidential election.
P = 80/1,000
P=0.08*100
P=8%
Therefore the probability of The voter had a college degree and voted in the last presidential election will be 8%
B. Calculation to determine the probability of The voter did not have a college degree and did not vote in the last presidential election.
P =396/1000
P=0.396*100
P=39.6%
Therefore the probability of The voter did not have a college degree and did not vote in the last presidential election will be 39.6%
C. Calculation to determine the probability if The voter voted in the last presidential election.
P = 584/1,000
P=0.584*100
P=58.4%
Therefore the probability if The voter voted in the last presidential election will be 58.4%
D. Calculation to determine the probability if The voter did not vote in the last presidential election.
P = 416/1000
P=0.416*100
P=41.6%
Therefore the probability if The voter did not vote in the last presidential election will be 41.6%
Evaluate the Expression when x = 6 and y = 5.
(x - 1) + (y - 1)
Answer:
9
Step-by-step explanation:
Help me please is this right
Ronnie wants to buy rosebushes he has $150 and each bus cost $11 right and solve an equality to find how many roses bushes he can buy and still have at least $95
Answer: 5 Rosebushes
Step-by-step explanation: if they required $95 at least, then you take $150 - $95 and you get $55
- Each rosebushes is $11 so you take 55/11= 5
Write a unit rate for the situation. Situation: 150 students in 6 classrooms Unit rate: __ students per classroom
Somebody please help
Answer:
Yes, No, No, No
Step-by-step explanation:
To decide whether the point lies on the circle, what you need to do it simply substituting the x and y values into the equation and check if it add up to be 25
(-5)² + 0² = 25, = RHS [Yes]
1² + (√7)² = 8, ≠ RHS [No]
(√21)² + (-3)² = 30, ≠RHS [No]
0² + 7² = 49, ≠RHS [No]
Eric bought two jars of peppers and six jars of pickles for $49. Andrew bought three jars of peppers and 5 jars of pickles for $47.50. Find the cost of a jar of pickles.
Answer:
one jar of pickles is $1.50, 49-47.50 =1.50
Step-by-step explanation:
Please do 6-7 ASAP
Answer:
Step-by-step explanation:
(6). y = [tex]\frac{1}{3}[/tex] x + 2 [ linear function ]
(7). y = 4 [ horizontal line, linear function ]
(8). x = 2 [ vertical line, not a function ]
Pleasssssssse help me with this
Answer:
B. 15x-35
Step-by-step explanation:
multiply 5 by both 3x and -7
5(3x-7)
5(3x) 5(-7)
15x-35
Answer:
your answer will be option B
Step-by-step explanation:
hope it helps
4) Find the length of each side. Please help ASAP. I NEED it. I’m begging you!!