Answer:
a = 5
Step-by-step explanation:
3(a+3)+6=30
Subtract 6 from each side
3(a+3)+6-6=30-6
3(a+3) = 24
Divide by 3
3/3(a+3) = 24/3
a+3 = 8
Subtract 3 from each side
a+3-3 = 8-3
a = 5
Answer:
a = 5
Step-by-step explanation:
Apply the distributed property, so it now looks like this: 3a + 9 + 6 = 30Simplify: 3a + 15 = 30Subtract 15 from each side, so it now looks like this: 3a = 15Divide each side by 3 to cancel out the 3 next to a. It should now look like this: a = 5I hope this helps!
Roberto and Shelly have been able to save $7,000 for a down payment on a house. Roberto would like to buy a large home that is a long drive from their jobs. Shelly would like a small townhouse near their work.
What factors should they consider when buying a home?
Answer:
taxation
they must check the environment
Why can't you calculate the output for rule 6 when the input is −6? Explain.
Answer:
because:
Step-by-step explanation:
-6+6
cancel each other
different sign same basic
Given parallelogram L M N O below, LP = 81 If PN = -7x-3 solve for x
Answer:-12x
Step-by-step explanation:
just trust me on this
kennedy needs to order some new supplies for the restaurant where she works. the restaurant needs at least 512 spoons. there are currently 264 spoons. of each set on sale contains 6 spoons, what is the minimum number of sets of spoons kennedy should buy?
Kennedy needs purchase at least 42 sets of spoons.
Explain the term inequality of numbers?An algebraic expression with two values that are not equal is represented by an inequality. A sign of inequality can be used to show that one of the two variables is larger than, greater than or comparable to, less than, or equal to another value.The minimum set of spoons needed in the restaurant = 512 spoons.
Available spoons = 264.
Each set on the sale has 6 spoons.
Let the minimum number of spoon set required be 'x'.
Then,
6x + 264 ≥ 512
Solving the in equality.
6x ≥ 512 - 264
6x ≥ 248
x ≥ 248/6
x ≥ 41.33
Thus, Kennedy needs purchase at least 42 sets of spoons.
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Which of the following pairs of hypotheses are used to test if the mean of the first population is smaller than the mean of the second population, using independent random sampling?
H0: µ1-µ2 ≥ 0
HA: µ1-µ2 < 0
The pair of hypotheses used to test if the mean of the first population is smaller than the mean of the second population, using independent random sampling, is H0: µ1-µ2 ≥ 0 and HA: µ1-µ2 < 0.
The given pair of hypotheses represents a one-tailed test where we are interested in determining if the mean of the first population (µ1) is smaller than the mean of the second population (µ2).
The null hypothesis (H0) states that the difference between the means, represented by (µ1-µ2), is greater than or equal to zero. This means that there is no significant difference between the means or that the mean of the first population is equal to or greater than the mean of the second population.
The alternative hypothesis (HA) states that the difference between the means, represented by (µ1-µ2), is less than zero. This suggests that there is a significant difference between the means and specifically indicates that the mean of the first population is smaller than the mean of the second population.
By conducting a statistical test, such as a t-test or z-test, and analyzing the results, we can evaluate the evidence and make an inference regarding the relationship between the means of the two populations based on the given pair of hypotheses.
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Help pls i need help !!
Answer:
Ray, Line, Transversal?, Plane, Segment
Step-by-step explanation:
If the radius of a semi circle was 135cm squared what would the circumference be? Please round to the nearest centimetre to make it easier for me. I will give brainliest.
Answer:
73 Centimeters
Step-by-step explanation:
I hope this helps!
What is the value of x to the nearest degree?
Answer:
The answer is 68°
Step-by-step explanation:
Recall that tan ∅° = \(\frac{Opposite}{Adjacent}\) for a right triangle.
The value opposite to your angle is 5, and the value that is adjacent to it is 2.
In order to solve for the degree, you use tan^-1(\(\frac{5}{2}\)) on your calculator.
This gives a value of 68.19459, rounded to just 68.
Suppose x has a normal distribution with mean 80 and standard deviation 5. What is the 90th percentile of x?.
1.28 is the 90th percentile of x in standard deviation.
What is standard deviation?
The variability in your dataset is measured by its standard deviation. It reveals the average deviation between each result and the mean. A low standard deviation denotes that values are grouped closely to the mean, while a large standard deviation denotes that values are often spread widely from the mean.Given,
p mean = 80
population standard deviation = 5
proportion (p) = 0.9
p(Z < z ) = 0.9
therefore
zα = z0.9
zα = 1.28
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Help Hurry pls
You have a rectangular prism cake with dimensions of 16 inches long, 12 inches wide and 3 inches tall. If we keep the height of 3 inches, what does the width of a round cake need to be to keep the same volume? (A round cake is a cylinder with a height of 3)
The width of the round cake needs to be approximately 2 times the radius, or about 15.6 inches, to have the same volume as the rectangular prism cake.
What is rectangular prism and cylinder?A three-dimensional structure with six rectangular faces that are parallel and congruent together is called a rectangular prism. It has a length, width, and height. By multiplying the length, width, and height together, one may get the volume. Contrarily, a cylinder is a three-dimensional shape with two congruent and parallel circular bases. It has a height and a radius, and you can determine its volume by dividing the base's surface area by the object's height. A cylinder has curved edges and no corners while a rectangular prism has straight edges and corners.
The volume of the rectangular cake is given as:
V = length * width * height
Substituting the values we have:
16 * 12 * 3 = 576 cubic inches
Now, for the cylindrical cake to be of the same volume we have:
V = π * radius² * height
π * radius² * 3 = 576
(3.14) * radius² * 3 = 576
radius = 15.6 inches
Hence, the width of the round cake needs to be approximately 2 times the radius, or about 15.6 inches, to have the same volume as the rectangular prism cake.
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Plz help it’s due tonight!!!
Answer:
x = 12
A = 83
B = 38
c = 59
Step-by-step explanation:
PPPPPPPPPPLLLLLLEAAAAAAASEEEE HELP ME I BEG
(A) Explain how you can tell the difference between exponential growth and exponential decay by looking at a function rule. (B) and provide an example of each.
Answer:
Step-by-step explanation:
by definition :It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.
example: exponential growth
y=2^x
exponential decay
y=(1/2)^x
If There are 1 hamster 4 dogs running at 5mph and 2 chickens running at 3mph.One dog speeds up 5mph and the chickens speeds up 10mph.Then the dogs quit (except 1) and the chickens keep going and speed up at 3 mph.Then who will win.After this if the prize is 100$ 1st place 2nd place is 50$ and 3rd 11$ what three animals won.
Names are sam salk paul arina corina
shills baul pauna
The two chickens and a dog three animals won.
What is Speed?The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time.
Given that There are 1 hamster 4 dogs running at 5mph and 2 chickens running at 3mph.
One dog speeds up 5mph and the chickens speeds up 10mph.
Then the dogs quit and the chickens keep going and speed up at 3 mph.
We have to find the winner.
The chicken win the race.
Hence, the two chickens and a dog three animals won.
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I need help with the following equation
75 + 15x = 230 + 10x
We are solving for x
Answer:X=31
Step-by-step explanation: Have a brilliant day! - Lily ^_^
find the domain f(x)=√x-6
The domain of the square root function is:
x ≥6
How to find the domain of the square root function?Remember that for any function y = f(x), we define the domain as the set of the possible inputs of the function. That is, the set of the possible values of x.
Here we have the square root function:
f(x) = √(x - 6)
Now, remember that the argument of a square root must be zero or larger, then to find the domain we need to solve:
x - 6 = 0
x = 6
Then the domain is the set of all the values equal to or larger than 6.
The domain is: x ≥6
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A university has 33,810 students. In a random sample of 270 students, 18 speak three or more languages. Predict the number of students at the university who speak three or more languages.
The expected number of students at the university who speak three or more languages is_____?
Answer:
Approximately 2254 people.
Step-by-step explanation:
A fair die is cast four times. Calculate
the probability of obtaining at least two
6's.
Round to the nearest tenth of a
percent.
Answer:
That's incredible. I have that exact problem on my website.
Here is my explanation.
My website says probability = 0.131944444444445
https://www.1728.org/occupncy8.htm
Step-by-step explanation:
Points Q, R, S, and T are shown on the number line. What is the distance between point Q and point S on the number line?
A) 2 units
B) 4 units
C) 6 units
D) 7 units
Divide. Round to the nearest tenth.
3.5÷2.29
Answer:
1.5
Step-by-step explanation:
look at the number after the 5 If that number is greater than 5, add 1 to the tenth value. If it is less than 5, leave the tenth place value as it is, and remove all the numbers present after the tenth's place
what is the answer to
(+2)+7(+2)
Answer:
11
Step-by-step explanation:
2+7+2 add left to right
9+2
11
3.5 m = ? cm
What Is cm I Really Need To Know??
Answer:
350 cm
Step-by-step explanation:
there are 100 cm in 1 meter so if there were 3.5 meters it would be broken down to 100,100,100 and adding the half which is 50.
Hope this helped!
an experimenter tests the hypothesis that physical exercise helps people's mood. subjects in the experimental group participate on monday and tuesday and those in the control group on wednesday and thursday. in this study, what is the dependent variable? group of answer choices the exercise the hypothesis the day of the week the mood
An experimenter tests the hypothesis that physical exercise helps people's mood. In this study the mood is the dependent variable. Correct option is D.
The dependent variable is the variable being measured or tested in an experiment and is typically affected by the independent variable, which is the variable being manipulated or tested. In this case, the experimenter is testing the hypothesis that physical exercise helps people's mood.
Therefore, the dependent variable in this study is the mood of the participants. The experimenter will be measuring the mood of the participants in both the experimental and control groups to determine if there is a significant difference between the two groups.
The day of the week is not a variable being manipulated or tested in this study, but rather a variable used to distinguish between the experimental and control groups. Similarly, the exercise and the hypothesis are not the dependent variables in this study, but rather the independent variable and the purpose of the study, respectively.
Therefore, Option D is correct answer.
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Complete question is:
An experimenter tests the hypothesis that physical exercise helps people's mood. subjects in the experimental group participate on monday and tuesday and those in the control group on wednesday and thursday. in this study, what is the dependent variable?
group of answer choices
A. the exercise
B. the hypothesis
C. the day of the week
D. the mood
write an algebraic description for the sequence of Transformations that will map the preimage onto the image to show that the two circles are similar first transformation dilate the orgin (x,y) and (kx,ky)
The first transformation is a translation one unit up.
The second transformation is a translation of four units left.
The scale factor is 2.5.
According to the transformations above, the circles are similar, they are related with a scale factor of 2.5.
The equation of the preimage is
\(x^2+y^2=1\)The equation of the image is
\((x+4)^2+(x-1)^2=(2.5)^2\)x⁴+8x³+34x²+72x+81 factories it.
Answer:
The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.
given right triangle ABC with altitude BD down to hypotenuse AC if AC = 25 and BC = 15, what is the length of DC?
Right triangle ABC with altitude BD down to hypotenuse AC if AC = 25 and BC = 15, then the length of DC is 9.
What is the Pythagorean theorem?
Pythagoras theorem is: In a right angle triangle, the sum of squares of sides is equal to the square of the hypotenuse.
We can use the geometric properties of right triangles and the Pythagorean theorem to solve this problem.
Let's label the length of DC as x. We know that BD is an altitude of the right triangle ABC, which means that it is perpendicular to AC. Therefore, we can use the similar triangles formed by the right triangles ABD and CBD to find the length of x.
In triangle ABD, we have:
BD/AB = AB/AC
Simplifying, we get:
BD/15 = 15/25
Multiplying both sides by 15, we get:
BD = 9
Now, in triangle BCD, we have:
BD/BC = BC/DC
Substituting BD = 9 and BC = 15, we get:
9/15 = 15/x
Multiplying both sides by x, we get:
x = (15 * 9)/15 = 9
Therefore, the length of DC is 9.
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an experimenter flips a coin 100 times and gets 34 heads. test the claim that the coin is fair against the two-sided claim that it is not fair at the level α=.01.
Based on the results of the hypothesis test, we reject the claim that the coin is fair and accept the alternative hypothesis that the coin is not fair.
To test the claim that the coin is fair against the two-sided claim that it is not fair, we can use a hypothesis test. The null hypothesis (H0) assumes that the coin is fair, and the alternative hypothesis (H1) assumes that the coin is not fair.
Null hypothesis (H0): The coin is fair.
Alternative hypothesis (H1): The coin is not fair.
Given that the experimenter flipped the coin 100 times and obtained 34 heads, we can calculate the observed proportion of heads (p) in the sample:
p = 34/100 = 0.34
To conduct the hypothesis test at a significance level of α = 0.01, we will use the chi-square test statistic. The test statistic is calculated as follows:
χ² = (observed - expected)² / expected
For a fair coin, the expected probability of getting a head is 0.5, and the expected number of heads in 100 flips would be:
expected = 0.5 * 100 = 50
Now, let's calculate the chi-square test statistic:
χ² = (34 - 50)² / 50 + (66 - 50)² / 50
= (-16)² / 50 + (16)² / 50
= 256 / 50 + 256 / 50
= 5.12 + 5.12
= 10.24
The degrees of freedom (df) for this test are df = 1 (since we have two possible outcomes: heads or tails) and the critical value for a two-sided test at α = 0.01 with df = 1 is approximately 6.63.
Since the test statistic (10.24) is greater than the critical value (6.63), we reject the null hypothesis (H0) at the α = 0.01 level. We have sufficient evidence to conclude that the coin is not fair.
Therefore, based on the results of the hypothesis test, we reject the claim that the coin is fair and accept the alternative hypothesis that the coin is not fair.
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If a 0.5kg cart is loaded with three 1.5-kg bricks, then the total mass of the loaded cart would be 5.0 kg. If it is moving with a speed of 2.0m/s, what is its momentum?
Answer:
The momentum of the cart is:
\(p = 10\) kgm/sStep-by-step explanation:
Given
Given that the 0.5 kg cart is loaded with three 1.5-kg bricks.
Thus,
Total mass m = 5.0 kg
Velcity v = 2.0 m/s
To determine
Momentum m =?
The momentum of the cart can be calculated using the formula
\(p = mv\)
Here:
\(p\) is the momentum\(m\) is the mass \(v\) is the velocitysubstituting m = 5.0, v = 2 in the equation
\(p = mv\)
\(p = (5)(2)\)
\(p = 10\) kgm/s
Therefore, the momentum of the cart is:
\(p = 10\) kgm/sAnswerrrrrrrrrrrrrrrrr
The question is the picture
10.5 funding slope and graphing lines
The line has a slope of 1 is L, and the line has a slope of 2 is K, slope of line is \(y = (\frac{1}{3} )x\).
Suppose a small grid represents a unit, from the graph,.
We can know,
For line L : When adding a unit horizontally, a unit is also added vertically.
Hence,
The slope of L : 1/1 = 1
For line K : When adding a unit horizontally, a two units are also added vertically.
Hence,
The slope of K : 2/1 = 2
A graph a line whose slope is 1/3, label the line a.
'a' line whole slope is 1/3
Suppose the line 'a' is,
\(y = (\frac{1}{3} )x\)
x 0 3
y 0 1
Therefore,
The line has a slope of 1 is L, and the line has a slope of 2 is K, slope of line is \(y = (\frac{1}{3} )x\).
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