Answer:
5/g
Step-by-step explanation:
match the equation with its corresponding solution for x. 6= -1/3x+5
Answer:
x=-3
Step-by-step explanation:
Students at a local university have the option of taking freshman seminars during their first year in college. A survey of the freshmen revealed the following: Among the social science majors, 50% chose to take a freshman seminar; among the humanities majors, 65% chose to take a freshman seminar; and among the physical science majors, it was 30% . Freshmen make up 32% of undergraduates. The probability of taking a freshman seminar, if a student is a science major, is:
complete question
the probability of taking a freshman seminar, if a student is a science major, is:
a) a total probability.
b) a conditional probability.
c) a complete probability.
d) a joint probability.
Answer:
B. Conditional probability
Step-by-step explanation:
In this given question, what we ant to do is to find the probability thst a student who is a science major is taking a freshman seminar. This clearly a case of conditional probability.
In a conditional probability, we are trying to find out the probability of an event occurring given that another event has already occurred. since the student is a science major, the probability of the student taking a freshman seminar is to be determined.
please help will give brainliest
Answer:
The average rate of change is 44.
Step by step:
FIRST STEP:
[tex]\frac{(294-118)}{(6-2)}[/tex]
SECOND STEP:
[tex]\frac{176}{4}[/tex] = 44
Please help me I don’t understand this at all
A, C, and D are the answers.
find the area of the diagram below
Answer:
220
Step-by-step explanation:
formula for area of a triangle is 1/2 base times height in this case thats 1/2(10X6) which is 30 sense there are 4 multiply 30 by 4 to get 120 then add that to the area of a square which is 10X10 or a hundred to get 220
A machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long. What is the total length needed in inches?
The total length needed in inches will be 490.5 inches.
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Since the machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long The total length needed in inches will be:
= (3 ft 4 7/8 inch × 12)
Note that 1 feet = 12 inches
= (12 × 3) + (4 7/8) × 12
= (36 + 4.875) × 12
= 490.5 inches
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Mr. Paras sold a portion of his lot to his friend. The lot was 65 meters long and 32 meters
wide. However, part of it measuring 21 meters long and 3 meters wide was donated for
the right of way of his neighbors. What was the area of lot he sold excluding the right of
way?
1. What is the area of the lot that he supposed to sell?
2. What was the area of the donated lot for the right of way?
3. What was the area of the remaining lot that was actually sold?
Please answer it correctly huhu I really need it rn T - T
Answer:
1. What is the area of the lot that he supposed to sell?
65*32 = 2080 sq. m2. What was the area of the donated lot for the right of way?
21*3 = 63 sq. m3. What was the area of the remaining lot that was actually sold?
2080 - 63 = 2017 sq. mAnswer:
1.2,080 m²
2.63m²
3.2,017
4.25m²
5.81m²
Explanation:
1. A = LW
A = 65 m × 32 m
A = 2,080 m²
2. A = LW
A = 21 m × 3 m
A = 63m²
3. A = 2,080 m² – 63 m²
A = 2,017 m²
4. A = s²
A = (5m)²
A = 25 m²
5.
A = s²
A = (9 m)²
A = 81 m²
A polynomial with a degree of 3
Example: x^{3} +7
Answer:
[tex]x^{3}-5x^{2}+2x+8[/tex]
This is the right way or the wrong answer
Answer:
This is the right answer.
A marine biologist wants to test the effect of water temperature on the length of time sea otters can remain under water during a dive. He gathers data on randomly-selected dives by 7 different otters recording dive duration (in seconds) and water temperature (in degrees Celsius). A computer regression analysis of his data is given below. Assume all conditions for inference for slope have been met. Predictor Coef SE Coef Constant 52.789 5.257 10.04 0.000 Water temp 3.3684 0.4216 7.990 0.002 5.557 R-Sg 92.7% R-Sg (adj ) 91.3% = S =
Which of the following is the estimate of the standard deviation of the sampling distribution of b, the slope of the sample regression line for this relationship?
(a) 0.4216
(b) 0.4216
(c) 5.257
(d) 5.257
(e) 5.557
Which of the following is the best interpretation of the quantity S
(a) The sum of the squared deviations between each observed dive duration and the dive 2.
(b) The sum of the squared deviations between each observed water temperature and the
(c) The average distance between the water temperature for each dive and the mean water
(d) Predictions of dive duration from water temperature based on this regression model will
(e) The average distance between the duration of each dive and the mean dive duration for duration predicted by the regression equation is 5.557 seconds. water temperature predicted by the regression equation is 5.557 seconds. temperature for all the dives in this sample is about 5.557 seconds. be off by an average of about 5.557 seconds. all the dives in this sample is about 5.557 seconds.
Answer:
b
Step-by-step explanation:
The solution is : 0.4216 is the estimate of the standard deviation of the sampling distribution of b, the slope of the sample regression line for this relationship.
What is standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
here, we have,
from the data given
The estimate of the standard deviation of the sampling distribution of b,
( The slope of the sample regression line for the relationship )
= 0.4216
i.e. intersection of SE coef and water temperature )
Testing the effect of water temperature on the length of time sea otters can remain
Hence, The solution is : 0.4216 is the estimate of the standard deviation of the sampling distribution of b, the slope of the sample regression line for this relationship.
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A certain retail store bases its staffing on the number of customers that arrive during certain time slots. Based on prior experience this store expects 32% of its customers between 8:00 am and 12:00 pm; 21% of its customers between 12:00 pm and 4:00 pm; 35% of its customers between 4:00 pm and 8:00 pm; and 12% of its customers between 8:00 pm and midnight. On a certain day, the store had 214, 198, 276, and 134 customers in those time slots, respectively. Should the store change its staffing? What was wrong with this solution?
Answer:
Step-by-step explanation:
Based on the data gathered on that certain day, I would say NO, the store does not need to change its staffing. The data shows that the percentages calculated by the store are extremely close to the actual percentage of people that arrived at those given hours throughout the day. The problem with this solution is that it does not take into account special circumstances, such as specific days, events, holidays, new popular items, etc. All of these can drastically affect the number of people that enter the store at a given time.
1. The retail store should not change its staffing arrangement.
2. Changing the staffing arrangement may not favor the retail store.
Data and Calculations:
8:00 am & 12:00 pm & 4:00 pm & 8:00 pm &
12:00 pm 4:00 pm 8:00 pm midnight
Expected % of customers 32% 21% 35% 12%
Actual number of customers 214 198 276 134
Total Number of customers = 822 (214 + 198 + 276 + 134)
Actual % of customers 26% 24% 34% 16%
Difference between expected percentage of
customers and actual 6% 3% 1% -4%
Variation 0.36% 0.09% 0.01% 0.16%
Sum of variation = 0.62%
Standard Deviation = 0.787
Thus, based on the standard deviation, the store should not change its staffing.
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A box has the shape of a rectangular prism with height 28 cm. If the
height is increased by 0.6 cm, by how much does the surface area of
the box increase?
28 στη
16 cm
3.4 cm
Use pencil and paper. Show your work. Then show a second way to
solve the problem. Explain which way you like better and why.
The surface area increases by cm2.
Answer:
23.16
Step-by-step explanation:
The order of rotational symmetry of the given figure is
Question 7 options:
A)
7.
B)
5.
C)
6.
D)
8.
Answer:
A
Step-by-step explanation:
Bismah is building 5 raised garden beds in a community garden. Each raised
garden bed will need 1 7/8 bags of soil. How many bags of soil will Bismah need for
8
all 5 raised garden beds?
5 5/8bags of soil
9 3/8 bags of soil
9 5/8 bags of soil
8 7/8 bags of soil
5 3/8 bags of soil
The fraction of soil bags Will needs in total for all 5 raised garden beds is 9 3/8.
What is community?In mathematics, community is the study of how objects interact and relate to each other. It focuses on analyzing the relationships between elements and understanding how they interact to form each other. Also explore how changes in one element affect other elements. Community in mathematics is also about recognizing patterns, finding solutions, and exploring the impact of change. It is an integral part of mathematics and is used in many areas of study such as algebra, geometry, and calculus. This can be calculated by multiplying the number of raised beds (5) by the amount of soil required per raised bed.
(1 7/8 bag).
5 x 1 7/8
= 9 3/8 bags
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Angelique has a bag that contains six red marbles and four blue marbles and 14 yellow marbles if she chooses one marble from the bag what is the probability that marble is not yellow
Answer:
33.3% that the marble is not yellow
v + 9 over 3= 8
what is v?
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
The ratio of men to women working for a company is 6 to 5 . If there are 105 women working for the company, what is the total number of employees?
Answer:
231 employees
Step-by-step explanation:
The ratio of men to women working for the company is 6 to 5, which means that for every 5 women working at the company, there are 6 men working at the company.
Since there are 105 women working at the company,
there are 6/5 * 105 = 126 men working at the company.
In total, there are 126 men + 105 women = 231 employees working for the company.
The equation of a ellipse is given below.
Graph the ellipse find the center, vertices, foci, and equation of major axis.
(y+5)^2/9 + (x+5)^2/25 = 1
Therefore , the solution of the given problem of equation comes out to be Focii (-2,5 ± (2√5 x 1/√5) and vertex ( − 2,5 ± 2√√5).
Explain the equation.An equation is a mathematical representation of two identical variables, one on each side of a "equals" sign. Common difficulties can be solved using equations. We commonly seek pre algebra help to resolve problems in real life. Pre-algebra is the fundamental building block of mathematics.
Here,
[tex](x + 2)^{2}[/tex] / [tex]a^{2}[/tex] + [tex](y-5)^{2}[/tex] /[tex]b^{2}[/tex] -=1 is (h, k).
the ellipse's nucleus
The major axis is the larger of the two axes, which are 2a and 26.
(H, a, k) and (H, k, b) are the vertices. Vertices are those along the major axis in this case, and covertices are those along the minor axis.
[tex](x + 2)^{2}[/tex]/16 + [tex](y-5)^{2}[/tex] /20 =1
can be written as
[tex](x + 2)^{2}[/tex]/ [tex]4^{2}[/tex] + [tex](y-5)^{2}[/tex] /(2√/5)2
hence centre is (-2, 5), maor axis is 2 x 2√√5 = 4√√5 and minor axis
is 2 x 4 = 8
Vertices are ( 2,5 25), or ( 2,5 25) and ( 2,5 + 25), while covertices are ( 2 4, 5) and ( 6,5), respectively.
As a result of the presence of a vertical major axis, eccentricity e and focii are
(h, k ± be). e is given by the relation a2 = b2(1 − e2) i.e.
=> e = [tex]\sqrt{1 - \frac{a^{2} }{b^{2}} }[/tex]
a2= 16 and b2= 62
=> e = 1/√5
Focii (-2,5 ± (2√5 x 1/√5)
or (-2,5±2) i.e. (-2, 7) and (-2, 3).
Therefore , the solution of the given problem of equation comes out to be Focii (-2,5 ± (2√5 x 1/√5) and vertex ( − 2,5 ± 2√√5).
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what is the experimental probability of spinning a white or yellow?
PLEASE PLEASE PLEASE HURRY ITS DUE TOMORROW!!!!!!
yellow / 5
blue / 12
green / 8
white / 9
red / 6
The experimental probability of spinning a white or yellow is 7/20
How to determine the experimental probability of spinning a white or yellow?From the question, we have the following parameters that can be used in our computation:
Outcomes of experiments
The outcomes of experiments are given as
yellow / 5
blue / 12
green / 8
white / 9
red / 6
The experimental probability of spinning a white or yellow can be calculated using the following equation
P(White or Yellow) =P(White) + P(Yellow)
Substitute the known values in the above equation, so, we have the following representation
P(White or Yellow) = (9 + 5)/5 + 12 + 8 + 9 + 6)
Evaluate the sum
P(White or Yellow) = 14/40
Simplify
P(White or Yellow) = 7/20
Hence, the probability is 7/20
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Need it ASAP, please!!!
Answer:
27y - 45 + 7z
Rachel has 13 books and some empty boxes. She can put 4 books in each box. How many boxes can she fill completely?
How many books will be left over?
Answer:
she can fill 3 boxes completely and one book will be left over
Step-by-step explanation:
if a box can be filled with 4 book then we do 4 multiply 3 and then 12 books will can fill 3 box and there is 13 books so 1 book will be left over
The table shows the types and numbers of prizes at a carnival game what is the ratio of stuffed animals to posters
Answer:
Step-by-step explanation:
3
Radius of a circle is 5 cm
Length of a rectangle is 9.2 cm
Width is 4 cm
Area of the shaded region is
A. 36.5 cm B. 41.7 cm2 C. 42.6 cm2
D. 48 cm2
Answer:
the answer is (b.)41.7cm²
the workings;;
9.2cm×4cm+5cm=41.8 or 41.7cm²
6. Which of the following is true about the line given by 8x - 2y = 24?
A) The slope is negative.
B) The y-intercept is negative.
C) The x-intercept is 8.
D) The line does not pass through quadrant III.
Answer:
B
Step-by-step explanation:
put equation in slope-intercept formula (y=mx+b)
8x-2y=24
-8x -8x
-2y=-8x+24
divide each side by -2
y=4x-12
the "b" in the formula is the y-intercept which is -12, therefore B is correct
find the inverse of the function
f (x) = 15 + sqrt 5x - 5
[tex]15 + \sqrt{5x - 5} = f(x)[/tex]
Replace y for x and vice versa
[tex]15 + \sqrt{5y - 5} = x[/tex]
Solve for y.
[tex]15 + 5y - 5 = {x}^{2} [/tex]
[tex]15 + 5y = {x}^{2} + 5[/tex]
[tex]5y = {x}^{2} - 10[/tex]
[tex]y = \frac{ {x}^{2} - 10 }{5} [/tex]
[tex]f {}^{ - 1} (x) = \frac{ {x}^{2} - 10 }{5} [/tex]
If
1. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,586kWh of electricity last year. Assuming that the population standard deviation is 2509kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance? State the null and alternative hypotheses for the test.
2. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,446 kWh of electricity last year, Assuming that the population standard deviation is 2509 kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance? Compute the value of the test statistic.
A. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
C. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
D. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
Answer:
Kindly check explanation for (1)
2.)
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
Step-by-step explanation:
1.)
H0 : μ = 10290
H0 : μ > 10290
n = 153, sample mean, xbar = 10586 ; population standard deviation, σ = 2509 ; α = 0.05
Test statistic:
(xbar - μ) ÷ (σ/√(n))
(10586 - 10290) ÷ (2509/√(153))
296 / 202.84062
Test statistic (Z) = 1.46
We obtain the Pvalue :
Decision Region :
Reject H0 ; if Pvalue < α
Pvalue from Z test statistic calculator :
Pvalue = 0.072
Pvalue > α ; Hence, we fail to reject the Null ; there isn't sufficient evidence to support the power company's claim
2.)
H0 : μ = 10290
H0 : μ > 10290
n = 153, sample mean, xbar = 10446 ; population standard deviation, σ = 2509 ; α = 0.02
Test statistic:
(xbar - μ) ÷ (σ/√(n))
(10446 - 10290) ÷ (2509/√(153))
156 / 202.84062
Test statistic (Z) = 0.769
We obtain the Pvalue :
Decision Region :
Reject H0 ; if Pvalue < α
Pvalue from Z test statistic calculator :
Pvalue = 0.221
Pvalue > α ; Hence, we fail to reject the Null ;
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
ANSWER ASAP FOR POINTS AND BRAINIEST!!
Answer:
(a) 552ft
(b) $220.8
Step-by-step explanation:
(a) TSA of cuboid = 2 (lb + bh + hl)
= 2 (12*8+8*9+9*12) = 2 ( 276) = 552 square feet.
(b) Cost of covering the box = $0.40 * 552 feet
= $220.8
Is this a right triangle? How do you know?
Answer:
Yes, Pythagorean theorem
Step-by-step explanation:
Yes, as by doing the Pythagorean theorem, a^2+b^2=c^2 you can confirm that it is.
8^2+15^2=17^2
64+225=17^2
289=17^2
(square root both sides)
17=17
If s is directly proportional to t, and s = 30 when t = 15, find t when s = 64.
Step-by-step explanation:
please refer to sketch for detail
9. Felix has a bucket of golf balls. The table shows the number of golf balls of each color in the bucket. Felix selects a golf ball at random. Based on the information in the table, which statement is true? * PLEASE HELP ME IM CONFUZZELD
Answer:
The golf ball is 2 times a likely to be orange as it is to be pink
Step-by-step explanation:
A. green = 18, pink+white+orange = 23
18 not > 23
B. pink [tex]\neq[/tex] white [tex]\neq[/tex] orange [tex]\neq[/tex] green
C. pink x 2 = orange?
4 x 2 = 8
D. white x 7 = green?
white = 11
green = 18
11 x 7 = 77 [tex]\neq[/tex] 18