Answer:
The answer is D
Hello! :)
Equation: 1/4 + 1/3 + 3/4
Find the LCD: = 122. make the denominators the same as the LCD: \(\frac{1*3}{4*3} + \frac{1*4}{3*4} + \frac{3*3}{4*3}\)
3. simplify: 3/12 + 4/12 = 9/12
4. join the denominators: \(\frac{3+4+9}{12}\)
5. simplify: 16/12
6. simplify: 4/3
7. convert to mixed fraction: 1 1/3
Hope this helps! Have a wonderful day! :D
"Currently, only 20 percent of arrested drug pushers are convicted", cried candidate AK in a campaign speech. "Elect me and you'll see a big increase in convictions" A year after his election a random sample of 144 case files of arrested drug pushers showed 36 convictions. For a right-tailed test, find the p-value. A. 0.12 B. 0.07 C. 0.06 D. 0.04
Answer:
B. 0.07
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that the proportion of convicted drug pushers is significnalty higher than 20%.
Then, the null and alternative hypothesis are:
\(H_0: \pi=0.2\\\\H_a:\pi>0.2\)
The sample has a size n=144.
The sample proportion is p=0.25.
\(p=X/n=36/144=0.25\)
The standard error of the proportion is:
\(\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.2*0.8}{144}}\\\\\\ \sigma_p=\sqrt{0.001111}=0.0333\)
Then, we can calculate the z-statistic as:
\(z=\dfrac{p-\pi}=\dfrac{0.25-0.2}{0.0333}=\dfrac{0.05}{0.0333}=1.5\)
This test is a right-tailed test, so the P-value for this test is calculated as:
\(\text{P-value}=P(z>1.5)=0.066\approx0.07\)
Convert.
_____seconds = 15 minutes 19 seconds
Answer: 919 seconds in 15 minutes and 19 seconds
Step-by-step explanation:
60 x 15 = 900
900 + 19 = 919
Don Trastmi is a respected investment consultant, but with a bit of a pessimistic attitude. He always projects correctly when the stock market goes down, but he is right only 6 out of 10 times when the market goes up. Don projects that next week the market will go up. What is the probability that the market will indeed go up
Answer:
The answer is "\(\bold{\frac{6}{10}}\)"
Step-by-step explanation:
\(\to p(\frac{\text{Market is falling}}{\text{The expected demand is fall Don}}) =1\\\\\to p(\frac{\text{Market is falling}}{\text{The expected demand is rising Don}}) =0.6\)
That's why the answer is \(\to \frac{6}{10}\)
Please help I’ll mark as brainliest
Answer:
B
Step-by-step explanation:
Angle ABD is congruent to angle CBD--->Definition of perpendicular lines
Segment DB is congruent to Segment Db--->Reflextive property of congruence
Angle ADB is congruent to angle CDB--->angle bisector theorem
2 angles and 1 side is congruent, therefore the triangles are congruent by the ASA Congruence Theorem
what is the quotient of 2 1/5 ÷ 6 3/5
A. 1/3
B. 3/4
C. 24/35
D. 2/3
Answer:
A.1/3
Step-by-step explanation:
on the picture
if it's helpful ❤❤❤
THANK YOU.
x2+10x+=()2
step by step
The value of the expression x² + 10x, when x = 2 is 24.
In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:
x² + 10x = 2² + 10(2)
Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.
10(2) means 10 multiplied by 2, which is 20.
So we can substitute these values in the expression:
x² + 10x = 2² + 10(2)
= 4 + 20
= 24
Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.
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The complete question:
Evaluate the expression x² + 10x, when x = 2.
Convert 185 pounds into kilograms.
A. 91.83 kilograms
C. 100 kilograms
B. 19.38 kilograms
D. 83.91 kilograms
Answer:
83.91 kilograms
Step-by-step explanation:
100 POINTS!! needs to be correct!
Type the correct answer in each box. The volume of a cube is given by s3and the total surface area of a cube is given by 6s2, where s is the side length of the cube.
If the side length of a cube is 5 inches, the volume of the cube is ___ cubic inches and its total surface area is ___ square inches.
Answer:
Use the given formulas and replace s with its value of 5 inches.
So the volume:
V = s³ = 5³ = 125 in³Total surface area:
A = 6s² = 6*5² = 150 in²Step-by-step explanation:
\(volume = {a}^{3} = {5}^{3} = 5 \times 5 \times 5 = 125 {inch}^{3} \\ surface \: area = 6 {a}^{2} \\ = 6 \times {5}^{2} = 6 \times 5 \times 5 \\ = 150 {inch}^{2} \\ thank \: you\)
A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 121 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.21 cm. He knows that the population standard deviation is 0.83 cm. Assuming a level of significance of 0.02, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.
Step 1: State the hypotheses.
- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).
- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).
Step 2: Compute the value of the test statistic.
To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).
The formula for the z-test statistic is:
z = (X- μ) / (σ / √n)
Where:
X is the sample mean (4.21 cm),
μ is the population mean (4.00 cm),
σ is the population standard deviation (0.83 cm), and
n is the sample size (121).
Plugging in the values, we get:
z = (4.21 - 4.00) / (0.83 / √121)
z = 0.21 / (0.83 / 11)
z = 0.21 / 0.0753
z ≈ 2.79 (rounded to two decimal places)
Step 3: Determine the critical value and make a decision.
With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.
For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).
Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.
Conclusion:
Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.
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I will give brainiest to the best answer that gives answers to all questions below
A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 11 minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 15 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flower bed from the hive
a. Write the equation Let distance be the flowerbed from the hive
Answer:
a) \(\frac{d}{10} + \frac{d}{8} = 240\)
b) approx 1,066.67 feet (3200/3 feet)
Step-by-step explanation:
The bee has been away for a total of 15 minutes from the hive but since it rested at the flowerbed for 11 minutes, the total travel time is 15-11 = 4 minutes.
Since units are expressed in feet per second, we have to convert 4 minutes to seconds which works out to 240 seconds
The basic equation for distance, d traveled by an object traveling at speed of s is given by d = st where t is the time taken to traverse distance d
Alternatively we can write this equation as
\(t = \frac{d}{s}\)
Travel time from hive to flowerbed at 10 feet/sec = \(\frac{d}{10}\) seconds
Travel time from flowerbed to hive at 6 feet/sec = \(\frac{d}{8}\) seconds
Total travel time is the sum of the above and can be expressed by the equation
\(\frac{d}{10} + \frac{d}{8} = 240\)
Multiplying throughout by 40 we can get rid of the denominators. We get
4d + 5d = 240 x 40 = 9600
9d = 9600
d = 9600/9 = 3200/3 feet ≈ 1,066.67 feet
What
is an arithmetic sequence with a common difference of −2?
Answer:
An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.
To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.
Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is
20,18,16,14,12
In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.
What is the constant up a proportionally in a equation y=x/g
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).
a group of 29 friends gets together to play a sport first people must be divided into teams each has to heve exactly 4 players and no one can be on more than one team how many teams can they make (it is possible that not everyone can be on a team)
Answer:
7 groups or teams
Step-by-step explanation:
7 x 4 is 28, as close as we can get to 29.
whats the average of all these numbers
5.1, 5.3 , 4.9, 5.2, 5.0 ,4.8, 5.4 ,5.1 ,5.3, 4.9
3.Construct a line perpendicular to the line given through the point P at the right
Answer:
Step-by-step explanation:
Let (-3, 4) be a point on the terminal side of 0. Find the exact values of sin 0, csc 0, and cot 0.
Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.
Trigonometric ratio calculation.
We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:
r² = x² + y²
r² = (-3)² + 4²
r² = 9 + 16
r² = 25
r = 5
Now we can find the values of sin θ, csc θ, and cot θ:
sin θ = y/r = 4/5
csc θ = r/y = 5/4
cot θ = x/y = -3/4
Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.
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a student claimed that the function shown in the table is exponential. do you agree or disagree? explain
The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."
To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.
The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).
The constant ratio between consecutive x-values indicates exponential growth or decay.
In this case, the function is growing exponentially because the y-values are increasing at a constant rate.
Based on this information, we can conclude that the function is exponential.
Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."
The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.
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Use the following information collected in a town of fast food restaurants. 13 served hamburgers, 8 served roast beef sandwiches, 10 served pizza, 5 served hamburgers and roast beef sandwiches 3 served hamburgers and pizza, 2 served roast beef sandwiches and pizza, 1 served hamburgers, roast beef sandwiches and pizza, 5 served none of the three foods
a) Construct a Venn Diagram and put the correct numbers in the Venn diagram.
b) Find the Probabilities. P(pizza)= ___________
c) P (roast beef and pizza)=___________
d) P ( hamburgers, but not roast beef) =______________
e) P (only hamburgers) = ____________
Answer:
I don't know what are you saying bro
O
The value of "y" varies directly with "x"!
If y = 100, then x = 20.
Solve for y when x = 18.
k = 5
y = [?
Remember: y=kx
Answer:
Step-by-step explanation:
The graph of the linear function is shown on the coordinate grid. (-4, 6). (1, -9) What is the y-Intercept of the graph of the linear function?
A: -3
B: -2
C: -6
D: 6
Answer: C /-6
Step-by-step explanation:
Find the Perimeter of the figure below, composed of an isoceles trapezoid and one semicircle. Rounded to the nearest tenths place
Answer:
17.1
Step-by-step explanation:
Find the perimeter by adding the perimeter of the three sides of the trapezoid to the perimeter of the half circle.
(4+6+4)+(2pi/2)=14+3.14=17.14
Round to 17.1
Question: 18 of 19
Lesson 18
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle 0 = 50°
Choice 'A' OV
Choice 'B'O V
Choice 'C'OV
Choice 'D' OV
(38.3, 32.1)
(33.8, 31.2)
(32.1, 38.3)
(31.2, 33.8)
4
The component form of the following vectors is Option A. V = (38.3, 32.1).
To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.
The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.
In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.
The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).
Let's calculate the components:
x = 50 * cos(50°) ≈ 38.3
y = 50 * sin(50°) ≈ 32.1
Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).
Therefore, the correct answer is A. V = (38.3, 32.1).
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The question is incomplete. Find the full content below:
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle θ = 50°
A. V = (38.3, 32.1)
B. V = (33.8, 31.2)
C. V = (32.1, 38.3)
D. V = (31.2, 33.8)
3
A Rubik's Cube has a volume of 10 cm
1) Write an equation to find the length of the sides.
2) Find the length of the side to the nearest tenth.
Answer:
The formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.
Step-by-step explanation:
Given that a Rubik's Cube has a volume of 10 cm, to write an equation to find the length of the sides and find the length of the side to the nearest tenth, the following calculations must be performed, knowing that the volume of a cube is obtained to enhance one of its sides to the third:
X ^ 3 = 10
X = 3√ 10
X = 2.15
Thus, the formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.
7x 1 3/5
simplest formm
Answer:
56/5 or 11 1/5
Step-by-step explanation:
Convert 1 3/5 to an improper fraction
1 3/5 = (1 x 5 + 3)/5 = (5 + 3)/5 = 8/5
7 x 1 3/5 = 7 x 8/5 = 56/5
In mixed fraction, 56/5 = 11 1/5
help help help
....................
Answer:
77
Step-by-step explanation:
There are 415 third graders and 338 second grades the question is asking how many more third graders are there than second graders, so its asking for the difference between them:
415 - 338 = 77
There are 77 more third graders than second graders
mrs martin and his son luke decide to walk a 12 kilomiter trail mrs martin takes a 1-hour trail head start and walks a pace of 3 km/hr explain how fast luke should walk to reach the end of the trail in 3 hours the same end of the trail in 3 hours the same time as mr martin
Answer:
a × 12 = 3
4 times 3= 12
so a = 4
Answer:
It will take Mr. Martin 4 hours to walk the trail, and Luke should walk faster than Mr. Martin. Using the equation 12 = (3)(x), Luke should walk 4 km/hr to finish the trail in 3 hours.
Step-by-step explanation:
A straight line is given as 2 x+4 -2 y-5=-3 z-6 (a) Determine the vector equation of the straight line. (b) Find the intersection point between the straight line with the plane yz
Answer:
a) r(t) = (10, 5, -5) + (5, 5, 0)*t
b) (0, -5, -5)
Step-by-step explanation:
a) 2x + 4 -2y -5 = -3z -6
2x - 2y +3z +5 =0
(10, 5, -5)
(15, 10, -5)
(5, 5, 0)
r = (10, 5, -5) + (5, 5, 0)*t
b) The yz plane is given by the equation x = 0.
x = 0 in the vector equation of a straight line if and only if t = -2, than r ( - 2) = (0, -5, -5) is the desired intersection point.
Select the correct equation for each situation in the table
All three equations represent the relationship between the total number of something produced and the amount of time it takes to produce it.
Which equation represents the relationship for this?The equation t = cd represents the relationship between the total number of caps, t, Kay makes and the number of days, d, it takes her to make Alternatively, the equation c = td can also be used to represent the same Finally, the equation C=d/t can also be used to represent the same relationship.The equation for Kay knitting caps is t = cd, where t is the total number of caps, c is the number of caps per day, and d is the number of days.The equation for Ms. Foster grading quizzes is t = qh, where t is the total number of quizzes, q is the number of quizzes per hour, and h is the number of hours.The equation for Morgan typing words is t = wm, where t is the total number of words, w is the number of words per minute, and m is the number of minutes.Knowing the number of something produced per unit of time, it is possible to calculate the total number of something produced by multiplying the two values.To learn more about the Constant Rate Theory refer to:
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write each sum or difference in simplest form
1 3/10 + 1/4=
The sum of \(1\frac{3}{10} +\frac{1}{4}\) is \(\frac{31}{20}\).
According to the question,
We have the following information:
\(1\frac{3}{10} +\frac{1}{4}\)
Now, we will first convert the mixed fraction into proper or improper fraction.
\(1\frac{3}{10} = \frac{13}{10}\)
Now, we will add these fractions:
\(\frac{13}{10} +\frac{1}{4}\)
Now, these fractions can only be added when their denominator is the same. It can be possible only when we take the least common factor of 10 and 4 which is 20 and add the fractions:
(13*2+1*5)/20
(26+5)/20
31/20
Now, this is the simplest form of this fraction because the numerator and denominator can not be divided by the same number.
Hence, the sum of the given expression is \(\frac{31}{20}\).
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you are helping your sister plan her sweet 16. the venue you want to host it at charges $75 for every 3 guest as well as a rental deposit of $200 write an equation to determine the total party cost
Answer:
y = 25x + 200
Step-by-step explanation:
y = the total cost of the party
x = the number of guests
75/3 = 25
25 is the cost per guest.
Helping in the name of Jesus.