Answer:
D.
Step-by-step explanation:
Given: Dimensions of a rectangular prism are [tex]7.5\,\,inches,3\,\,inches\,,\,11.5\,\,inches[/tex]
To find: total surface area of the rectangular prism in square inches
Solution:
Length of the rectangular prism (l) = 7.5 inches
Breadth of the rectangular prism (b) = 3 inches
Height of the rectangular prism (h) = 11.5 inches
Total surface area of the rectangular prism = 2(lb+bh+hl)
= [tex]2(7.5\times3+3\times11.5+11.5\times7.5 )[/tex]
[tex]2(7.5\times3+3\times11.5+11.5\times7.5 )=2(22.5+34.5+86.25)\\=2(143.25)\\=286.5\,\,square \,\,inches[/tex]
So, option D is correct
Answer:
D! I got it correcttt
Step-by-step explanation:
THe audio is writen there thanks but now PLZ HELP
I count n=12 observations, sorted they're
0 0 0 1 1 2 2 3 3 4 5 10
The median is the middle value, or the average of the two middle ones when we have an even number. That's (2+2)/2=2
Median: 2
The mode is the most common observation. Three friends had no pets.
Mode: 0
The range is maximum minus minimum, so 10 - 0 = 10
Range: 10
one third of a number is 12
what is half of that same number?
Answer:
18
Step-by-step explanation:
12 x 3 = 36
36 / 2 = 18
18 x 2 = 36
The answer is 18
Vocabulary Drag the words to show how theoretical probability and experimental probability differ. Each word may be used only once.
Theoretical
Experimental
probability is based on expected or calculated results.
probability is based on the actual recorded results of an
experiment.
Answer:
Theoretical --- probability is based on expected or calculated results.
Experimental --- probability is based on the actual recorded results of an experiment.
Step-by-step explanation:
Theoretical assumptions are those hypotheses not proven to be real, whose probabilities of materializing depend on the future confirmation of the premises established. Thus, these theories are established based on different experiences and previous situations, or based on data still not scientifically proven.
Instead, the experimental results are those that have already been confirmed based on tests, tests and experiments that affirm or deny the previously established theories.
Here is a cube: What is the one shape of cross-section we could create by slicing the cube parallel to one of its faces? Choose 1 answer:
triangle
square
trapezoid
pentagon
Answer:
The answer would be a square
Step-by-step explanation:
Since when you slice a cube parallel to one of its faces, one way or the other you will see a square since a cube is mostly just a 3 dimensional square.
hope this helps you
A family has a phone plan that includes 4 GB of data per month. 10 days into the 30 day month the family has used 1 GB. At that rate how many GB will the family use for the entire month
Answer: The family uses 3 Gb in the entire month.
Step-by-step explanation:
A month has 30 days.
If in 10 days the family uses 1Gb, then in each day the family uses:
R = 1Gb/10 days = 0.1 Gb per day.
Then in 30 days the family uses:
30days*0.1 Gb er day = 3 Gb
The family uses 3 Gb in the entire month.
What’s the correct answer for this?
Answer:
D: 8 and 2 and then 8 and 6.
Step-by-step explanation:
Corresponding angles are angles in the same position at an intersection of lines. For example, some of the corresponding angles in this picture are 1 and 7, and 8 and 2. Alternate interior angles are angles that are on the opposite sides of a transversal but are on the inner sides. For example, 8 and 6 and 7 and 5. If you look at all the options and use process of elimination, D will be the only possible answer. For A, 1 and 2 are not corresponding angles, as they are on opposite sides of the same line. For B, 4 and 6 are not alternate interior angles. They are vertical angles, congruent angles mirrored on the opposite side. For C, 7 and 2 are not corresponding angles, as they are not in the same relative position. Therefore, D is the only answer left. 8 and 2 are corresponding angles: they are both on the right side of the lines next to them. 8 and 6 are alternate interior angles, since they are on the opposite sides of the line, but on the inside.
The number of ducks and pigs in the field is 43. The total of legs among them is 118. Assuming each duck has exactly two legs and each pig has exactly four leg, determine how many pigs and how many ducks are in the field
Answer:
16 pigs and 27 ducks
Step-by-step explanation:
Let the number of pig be x
And let the number of ducks be y
X+y = 43.... equation 1
each duck has exactly two legs and each pig has exactly four leg.
Total leg is 118
4x + 2y = 118 ..... equation 2
X+y = 43
4x + 2y = 118
4(X+y = 43)
4x +4y = 172
4x + 2y = 118 - 4x +4y = 172
-2y = -54
Y = 27
If y = 27
X+y = 43
X = 43-27
X= 16
Given the equation of the parabola - 36y = ?
The focus of the parabola is:
(0,9)
(-9,0)
(0,-9)
Correct question is ;
Given the equation of the parabola x² = -36y
The focus of the parabola is:
Answer:
Option C - Focus = (0,-9)
Step-by-step explanation:
The equation of the parabola is:
x² = -36y
Thus, y = - x²/36
Using the vertex form,
y = a(x − h)² + k, to determine the values of a, h, and k.
We will have;
y = (-1/36)(x − 0)² + 0
Thus,
a = - 1/36
h = 0
k = 0
The distance (p) from the vertex to a focus of the parabola is gotten by using the following formula.
p = 1/4a
So, p = 1/(4*(-1/36))
p = - 1/(1/9)
p = -9
Now, The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.
Focus is (h, k+p)
Plugging in the relevant values, we have;
Focus = (0, (0 + (-9))
Focus = (0,-9)
on a piece of paper, graph f(x)= {x if x<2 2 if x>2}
Answer:
see below
Step-by-step explanation:
The graph has two parts. There is one line for x < 2. It has a slope of 1 and a y-intercept of 0.
The line for x > 2 is the horizontal line x=2.
The point at x=2 is not defined by the function you have posted here, so there is a "hole" in the graph at that point.
Answer:
the person above is correct
Step-by-step explanation:
:p
Two math students were asked to write an exeponential growth equations that had a starting value of 300 and a growth rate of 2%. Pierre thinks the answer is y=300(1.02)^x and Scott thinks that the answer is y=300(1.2)^x. Are either of them right and why?
Answer:
Pierre is right.
Step-by-step explanation:
A growth rate of 2% means that the values is increasing by 0.02 each year so the multiplying factor is 1.02.
Pierre is correct y = 300(1.02)^x.
Scotts answer 1.2 = a growth rate of 20%.
According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones, etc.) in back-to-college spending per student. Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54. If a family of a returning college student is randomly selected, what is the probability that: (a) They spend less than $150 on back-to-college electronics? (b) They spend more than $390 on back-to-college electronics? (c) They spend between $120 and $175 on back-to-college electronics?
Answer:
(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is 0.0537.
(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is 0.0023.
(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is 0.1101.
Step-by-step explanation:
We are given that according to an NRF survey conducted by BIG research, the average family spends about $237 on electronics in back-to-college spending per student.
Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54.
Let X = back-to-college family spending on electronics
SO, X ~ Normal([tex]\mu=237,\sigma^{2} =54^{2}[/tex])
The z score probability distribution for normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean family spending = $237
[tex]\sigma[/tex] = standard deviation = $54
(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is = P(X < $150)
P(X < $150) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{150-237}{54}[/tex] ) = P(Z < -1.61) = 1 - P(Z [tex]\leq[/tex] 1.61)
= 1 - 0.9463 = 0.0537
The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9463.
(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is = P(X > $390)
P(X > $390) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{390-237}{54}[/tex] ) = P(Z > 2.83) = 1 - P(Z [tex]\leq[/tex] 2.83)
= 1 - 0.9977 = 0.0023
The above probability is calculated by looking at the value of x = 2.83 in the z table which has an area of 0.9977.
(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is given by = P($120 < X < $175)
P($120 < X < $175) = P(X < $175) - P(X [tex]\leq[/tex] $120)
P(X < $175) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{175-237}{54}[/tex] ) = P(Z < -1.15) = 1 - P(Z [tex]\leq[/tex] 1.15)
= 1 - 0.8749 = 0.1251
P(X < $120) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{120-237}{54}[/tex] ) = P(Z < -2.17) = 1 - P(Z [tex]\leq[/tex] 2.17)
= 1 - 0.9850 = 0.015
The above probability is calculated by looking at the value of x = 1.15 and x = 2.17 in the z table which has an area of 0.8749 and 0.9850 respectively.
Therefore, P($120 < X < $175) = 0.1251 - 0.015 = 0.1101
given that the quadratic equation (k^2-1)x^2-2kx+3k+1=0 has equal roots show that 3K^3-3K-1=0
Step-by-step explanation:
The roots are equal, so the discriminant equals 0.
b² − 4ac = 0
(2k)² − 4 (k²−1) (3k+1) = 0
4k² − 4 (3k³ + k² − 3k − 1) = 0
k² − (3k³ + k² − 3k − 1) = 0
k² = 3k³ + k² − 3k − 1
0 = 3k³ − 3k − 1
What is the value of 5x+3 when x = 4?
Answer:
Step-by-step explanation:
5(4)+ 3
20+3
23
Graph the solution set for each given inequality
a. x > 7.75
b. x Underscore-< 5/2
I just want to see how to graph it. Sorry if that's too much to ask :P
Answer:
see the attachments
Step-by-step explanation:
An inequality without the "or equal to" case is graphed with an open circle at its boundary point. If the "or equal to" case is included, then the dot at the boundary is filled in (a solid dot). The number line is shaded to the left or right of the boundary point, depending on whether the set being graphed includes values less than or greater than the boundary value. Usually, a line extending indefinitely will have an arrow on its end. (Not here, because the program used doesn't easily support drawing arrows.)
__
a. The boundary point at x=7.75 has an open circle, and the shading of the number line extends indefinitely to the right from there.
__
b. The boundary point at x=2.5 is a solid dot, and the shading extends indefinitely to the left.
Let the process of getting through undergraduate school be a homogeneous Markov process with time unit one year. The states are Freshman, Sophomore, Junior, Senior, Graduated, and Dropout. Your class (Freshman through Graduated) can only stay the same or increase by one step, but you can drop out at any time before graduation. You cannot drop back in. The probability of a Freshman being promoted in a given year is .8; of a Sophomore, .85; of a Junior, .9, and of a Senior graduating is .95. The probability of a Freshman dropping out is .10, of a Sophomore, .07; of a Junior, .04; and of a Senior, .02.
1. Construct the Markov transition matrix for this process.
2. If we were more realistic, and allowed for students dropping back in, this would no
longer be a Markov process. Why not?
3. Construct the Markov transition matrix for what happens to students in four years.
What is the probability that a student who starts out as a Junior will graduate in that
time?
Answer:
sorry dont know
Step-by-step explanation:
How do I draw a line segment ??? RS
Answer:
draw a line from R to S
Step-by-step explanation:
just a simple line connecting the two, leave out Q and T.
Answer:
connect point R and point S with a straight line
Step-by-step explanation:
It's like connect the dots.... but with letters instead of numbers.
The digit in the ten's place of a two digit number is one less than the digit in the one's place. If we add this number to the number obtained by reversing its digits, the result is 55, find the number.
Answer:
23
Step-by-step explanation:
55 = 23 + 32
14 and 41 came into my d, but 1 and 4 are 3 apart from each other
(would really appreciate the brainliest)
if you know the area How would you find the diameter of a circle?
Step-by-step explanation:
formular of area circle = pi*
[tex] {? \\ radius}^{2} [/tex]
=> radius =
[tex] \sqrt{area \div pi } [/tex]
diameter = 2* radius.hope this help
Can I get some help plz.........
Answer:
108
Step-by-step explanation:
Answer:
3/4 cm
Step-by-step explanation:
6th grade math! Help me please :)
Answer:
50 pictures.
Step-by-step explanation:
It's lit just 35+15=50 pictures
Answer:50
Step-by-step explanation:
Meg took 35 pictures
Kim took 15 pictures
Total pictures =35+15
Total pictures =50
What number am I
I am a number between 17 and 25.
I am a multiple of 3.
6 is not a factor of mine.
Answer:
21
Step-by-step explanation:
The number in this riddle is 21.
What are factor?A number totally divides the provided number without leaving any residual is said to be the factor of that number. A number can have either positive or negative aspects.
For illustration, let's determine the components of 8.
Since 1, 2, 4, and 8 are divisible by 8, we may list them as the positive factors of 8.
The product of two negative integers is a positive number,
hence (-1) (-8) = 8 and (-2) (-4) = 8.
In addition, the number 8 contains negative elements, which may be written as -1, -2, -4, and -8.
Given:
I am a number between 17 and 25.
I am a multiple of 3.
6 is not a factor of mine.
Now, the number between 17 and 25
18, 19, 20, 21, 22, 23, 24
So, the multiple of 3 is 18, 21, 24
Now, out these the only number which is not a factor of 6 is 21.
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Evaluate the related series described 4 - 12 + 36 - 108 n=6
Answer:
11/54 is n did you want it in decimal form 0.2037 bar on top of 03
What function has zeros at x=10 and x=2
Answer:
f(x) = x^2 -12x +20
Step-by-step explanation:
There are an infinite number of functions with zeros at those values of x. One simple polynomial function with those zeros is ...
f(x) = (x -10)(x -2) . . . . . each zero contributes a factor
f(x) = x^2 -12x +20
-5x+20<5 solve for x
Answer: x > 3
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is -5x by subtracting 20 from both sides. That leaves you with -5x < -15.
To get x by itself, divide both sides by -5, but watch out.
If you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.
So we have x > 3.
I have also graphed the inequality for you below.
Start with an open dot at 3. The reason for that is because x > 3 but x is not equal to 3 so we use an open dot.
Now, draw an arrow to the right to
represent all numbers greater than 3.
Brainliest for anyone if they get this CORRECT.
(x + 8)(x - 6)
to factorise consider the factors of - 48 which sum to + 2
These are + 8 and - 6 thus
x² + 2x - 48 = (x + 8)(x - 6)
Answer:
D) x + 8
Step-by-step explanation:
factor. Find factors of x² & -48, in that, when combined, it will give 2x.
x² + 2x - 48
x -6
x 8
(x - 6)(x + 8)
Check. Follow FOIL method. Combine the first, outside, Inside, & Last terms:
(x * x) = x²
(x * 8) = 8x
(x * -6) = -6x
(-6 * 8) = -48
x² + 8x - 6x - 48
x² + 2x - 48 (√)
Your answer choices:
(x - 6) & (x + 8)
x + 8 shows up as a choice, so D) x + 8 is your answer.
~
In July of 1997, Australians were asked if they thought unemployment would increase, and 47% thought that it would increase. In November of 1997, they were asked again. At that time 284 out of 631 said that they thought unemployment would increase ("Morgan gallup poll," 2013). At the 5% level, is there enough evidence to show that the proportion of Australians in November 1997 who believe unemployment would increase is less than the proportion who felt it would increase in July 1997?
Answer:
[tex]z=\frac{0.45 -0.47}{\sqrt{\frac{0.47(1-0.47)}{631}}}=-1.007[/tex]
Now we can find the p value with the alternative hypothesis and using this probability:
[tex]p_v =P(z<-1.007)=0.157[/tex]
Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of interest is not significantly lower than 0.47
Step-by-step explanation:
Information given
n=631 represent the random sample selected
X=284 represent the people who said that they thought unemployment would increase
[tex]\hat p=\frac{284}{631}=0.45[/tex] estimated proportion of people who said that they thought unemployment would increase
[tex]p_o=0.47[/tex] is the value that we want to test
[tex]\alpha=0.05[/tex] represent the significance level
z would represent the statistic
[tex]p_v{/tex} represent the p value
System of hypothesis
We want to verify if the proportion of Australians in November 1997 who believe unemployment would increase is less than the proportion who felt it would increase in July 1997 (0.47), then the system of hypothesis are:
Null hypothesis:[tex]p\geq 0.47[/tex]
Alternative hypothesis:[tex]p < 0.47[/tex]
The statistic would be given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.45 -0.47}{\sqrt{\frac{0.47(1-0.47)}{631}}}=-1.007[/tex]
Now we can find the p value with the alternative hypothesis and using this probability:
[tex]p_v =P(z<-1.007)=0.157[/tex]
Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of interest is not significantly lower than 0.47
Diameter EG is drawn on circle H and point F is located on the circle such that GF = 8.5inches. If the radius of the circle is equal to 10 inches, then what is the measure of GF to the nearest degree?
Answer:
[tex]\widehat{GF}=49[/tex] degrees
Step-by-step explanation:
In the figure attached, EG is the diameter of the circle and a point F is located on the circle.
Measure of [tex]\widehat{GF}[/tex] = 8.5 inches
Radius HF = 10 inches
Formula to get the length of arc = [tex]\frac{\theta}{360}\times (2\pi r)[/tex]
8.5 = [tex]\frac{\theta}{360}(2\pi)(10)[/tex]
θ = [tex]\frac{360\times 8.5}{20\pi }[/tex]
= 48.7°
≈ 49°
Since central angle = measure of the intercepted arc
Therefore, [tex]\widehat{GF}=49[/tex] degrees will be the measure of the given arc GF.
The area of Jamie's square backyard is 64 square meters. What is the length of one side of Jamie's backyard? Please Answer this asap bc I have to get this turned in, in about 10 mins please hurry
Answer:
8 meters
Step-by-step explanation:
Since the 4 sides of a square are all equal, the area of a square can be found using:
a=s*s or
a=s^2
We know that the area is 64 square meters, so we can substitute 64 in for a
64=s^2
We are trying to find a side, s, so we have to get s by itself. Since s is being squared, take the square root of both sides. This will cancel out the exponent, and leave s by itself.
[tex]\sqrt{64}=\sqrt{s^2}[/tex]
8=s
So, one side of the backyard is 8 meters
Please help me!!! show work
Answer:x=8 or x=-2
Step-by-step explanation:
log4(x-6) + log4(x)=2
log4(x(x-6))=2
4^2=x(x-6)
4x4=x(x-6)
16=x^2-6x
Arrange the quadratic equation
x^2-6x-16=0
x^2+2x-8x-16=0
x(x+2)-8(x+2)=0
(x-8)(x+2)=0
x-8=0. x+2=0
x=8. x=-2
What best determines whether a borrower’s interest rate on an adjustable rate loan goes up or down
Answer:
a market's condition
Step-by-step explanation:
edge 2021
Market conditions best determine whether a borrower’s interest rate on an adjustable rate loan goes up or down.
What is the interest rate?It is the cost of borrowing money.
Interest rate levels depend on the supply and demand of the money.
Supply and demand are a part of market conditions.
We see that,
An increase in demand for money will increase the interest rate.
A decrease in demand for money will decrease the interest rate.
Conversely,
An increase in the supply of money will decrease the interest rate.
A decrease in the supply of money will increase the interest rate.
Demand and supply are market conditions
Thus market conditions best determine whether a borrower’s interest rate on an adjustable rate loan goes up or down.
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