Answer:
Step-by-step explanation:
sinx = 17/22
x = arcsin(17/22)
x = 50.599431246...°
x = 51°
2,485 ÷x =49 R35
PLSSS HELPPP :((((
Answer:
x = 50
Step-by-step explanation:
2485 ÷ x = 49 R 35
We know that 2485 ÷ x = 49 R 35, or 2485 ÷ x = 49 + 35
Step 1:
Now, I want to subtract 35 from the left side of the equation:
2485 ÷ x = 49 R 352450 ÷ x = 49Step 2:
Now I want to find x. We can start by multiplying both sides by x, then dividing by the coefficient.
2450 ÷ x = 492450 = 49x2450 ÷49 = xx = 50x = 50
Check:
2485 ÷ 50 = 49 R 3549.7 = 49 R 3549 + 50(7/10) = 49 R 3549 + 35 = 49 R 35-Chetan K
Three of the sides will require fencing and the fourth wall already exists. If the farmer has 116 feet of fencing, what are the dimensions of the region with the largest area
Answer:
29 ft x 58 ft
Step-by-step explanation:
Let x be the length of each side perpendicular to the wall, and y be the length of the side parallel to the wall.
The amount of wire available is:
\(116 = 2x+y\\y=116-2x\)
The area of the region is:
\(A=xy=x(116-2x)\\A(x)=116x-2x^2\)
The value of 'x' for which the derivate of the area function is zero will yield the maximum area:
\(A(x)=116x-2x^2\\A'(x) = 116-4x=0\\x=29\ ft\)
The value of y is:
\(y=116-2*29\\y=58\ ft\)
The dimensions of the region with the largest area are 29 ft x 58 ft.
Solve for x
I don’t know how i have to do it
Answer: x = 2
Intersecting Chords states:
⇒ 6 × x = 3 × (x + 2)
⇒ 6x = 3x + 6
⇒ 6x - 3x = 6
⇒ 3x = 6
⇒ x = 2
Please I neededdddddddd
A car traveling at 4545 ft/sec decelerates at a constant 77 feet per second squared. How many feet does the car travel before coming to a complete stop
Answer:
144.6ft
Step-by-step explanation:
Given
\(u = 45ft/s\) --- initial velocity
\(a = -7ft/s^2\) --- deceleration
Required
Distance traveled
To do this, we make use of:
\(v^2 = u^2 + 2as\)
Where
\(v = 0\) --- final velocity
So, we have:
\(0^2 = 45^2 - 2*7*s\)
\(0 = 2025 - 14s\)
Collect like terms
\(14s = 2025\)
Solve for s
\(s = \frac{2025}{14}\)
\(s = 144.6\)
Hai has 24 video games. Six of his games are sports related and the rest are the number of his role-playing games to the total number of games?Hai has 24 video games. Six of his games are sports related and the rest are role-playing games. Which ratio represents the number of his role-playing games to the total number of games?
The ratio of his role-playing games to all of his other games is 3:4.
What is ratio?An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. Ratios contrast two figures by typically dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio will be 5/10 if A is 5 and B is 10.
Here,
If he has 24 video games and 6 are sports games,
24-6=18
The role play games are 18.
Ratio of the number of his role-playing games to the total number of games,
=18/24
=3/4
=3:4
The ratio of the number of his role-playing games to the total number of games is 3:4.
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more than 3.2% of homes have only a landline telephone and no wireless phone. sample data: A survey by the national center for health statistics showed that among 15800 homes 5.81% had landline phones without wireless phones. Complete parts a and b . Express the originall claim in symbolic form. Let the parameter represent a value with respect to homes that have only a landscape telephone and no wireless phone
a) The original claim expressed in symbolic form is; p > 0.032
b) The hypotheses are defined as;
Null hypothesis; H₀: p ≤ 0.032
Alternative hypothesis; Hₐ: p > 0.032
How to define the hypotheses?A hypothesis is defined as an educated guess while using reasonable thinking, about the answer to a scientific question.
a) We are told that the claim is that more than 3.2% (0.032) of homes have only a landline telephone and no wireless phone. Thus, the original claim in symbolic form is; p > 0.032
b) From the sample survey that we see, it is clear that among 15800 homes, 5.81% had landline phones without wireless phones. This would be the sample proportion.
This means that we can define the alternative hypothesis as;
Hₐ: p > 0.032
Null hypothesis is;
H₀: p ≤ 0.032
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PLEASE HELP!! What is the surface area of the cone?
In Exercise 4 we saw a 98% confidence interval of (-40, -22) minutes for μ Top - μ Font the difference in time it takes top-loading and front-loading washers to do a load of clothes. Explain why you think each of the following statements is true or false:
a) 98% of top loaders are 22 to 40 minutes faster than front loaders.
b) If I choose the laundromat's top loader, there's a 98% chance that my clothes will be done faster than if I had chosen the front loader.
c) If I tried more samples of both kinds of washing machines, in about 98% of these samples I'd expect the top loaders to be an average of 22 to 40 minutes faster.
d) If I tried more samples, I'd expect about 98
of the resulting confidence intervals to include the true difference in mean cycle time for the two types of washing machines.
e) I'm 98% confident that top loaders wash clothes an average of 22 to 40 minutes faster than front-loaders.
a. False. The proportion cannot be determined from the confidence interval.
b. False. The population parameter's likely range is indicated by the confidence interval.
c. True. Around 98% of the confidence intervals for each sample that we took from repeated random sampling of top-loading and front-loading washers would contain the actual difference.
d. True. The probability that an interval contains the actual population parameter is represented by the confidence level of the interval. So the level of confidence is 98% in this instance.
e. False. The 98% confidence interval does not offer a probability or confidence level about a certain sample mean.
a) False. The percentage or proportion of top loaders that are faster than front loaders cannot be determined from the confidence interval. It merely offers a range of reasonable values for the mean cycle time difference.
b) False. The confidence interval does not indicate the likelihood that a specific event will occur once, but rather the likely range of the population parameter.
c) True. The confidence intervals for each sample would contain the real difference in mean cycle time in around 98% of the repeated random samples of top-loading and front-loading washers.
d) True. A confidence interval's confidence level indicates the likelihood that the interval contains the actual population parameter. Since there is a 98% degree of confidence in this situation, we would anticipate that 98% of the generated confidence intervals will contain the actual difference in mean cycle time.
e) False. The 98% confidence interval does not offer a probability or confidence level about a certain sample mean. Instead, it offers a range of logical estimates for the mean cycle time difference.
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Consider this equation
1/x-1 = | x-2 |
Using three iterations of successive approximation, what is the approximate solution to the equation? Use the graph as a starting point.
A. x ≈ 43/16
B. x ≈ 21/8
C. x ≈ 41/16
D. x ≈ 19/8
The approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.
To solve the equation 1/x-1 = |x-2| using three iterations of successive approximation, we will start with an initial guess and refine it using an iterative process.
Given that the equation involves absolute value, we will consider two cases:
Case 1: x - 2 ≥ 0
In this case, |x-2| simplifies to x-2, and the equation becomes 1/(x-1) = x-2.
Case 2: x - 2 < 0
In this case, |x-2| simplifies to -(x-2), and the equation becomes 1/(x-1) = -(x-2).
Now, let's perform the successive approximation:
Iteration 1:
Let's start with an initial guess, x = 2.
Case 1: When x - 2 ≥ 0,
1/(2-1) = 2-2,
1/1 = 0,
which is not true.
Case 2: When x - 2 < 0,
1/(2-1) = -(2-2),
1/1 = 0,
which is not true.
Since our initial guess did not satisfy the equation in either case, we need to choose a different initial guess.
Iteration 2:
Let's try x = 3.
Case 1: When x - 2 ≥ 0,
1/(3-1) = 3-2,
1/2 = 1,
which is not true.
Case 2: When x - 2 < 0,
1/(3-1) = -(3-2),
1/2 = -1,
which is not true.
Again, our guess did not satisfy the equation in either case.
Iteration 3:
Let's try x = 2.5.
Case 1: When x - 2 ≥ 0,
1/(2.5-1) = 2.5-2,
1/1.5 = 0.5,
which is true.
Case 2: When x - 2 < 0,
1/(2.5-1) = -(2.5-2),
1/1.5 = -0.5,
which is not true.
Our guess of x = 2.5 satisfies the equation in Case 1.
Therefore, the approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.
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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:
PLEASE HELP
Point A is located at (-4, -7). After it is translated, point A' is located at (0, -7). What was the translation?
4 units to the left
4 units down
4 units up
4 units to the right
Answer:
For units to the right
Step-by-step explanation:
If if you start at ( -4, -7) and move 4 spaces to the right, you will be at (0, -7).
Question 8 I don’t get
Answer:
Y=4x
Y is total profita
X is how many she sells
A particular fruit's weights are normally distributed, with a mean of 598 grams and a standard deviation of 22 grams.
If you pick 9 fruits at random, then 16% of the time, their mean weight will be greater than how many grams?
Give your answer to the nearest gram.
If a particular fruit's weights are normally distributed, with a mean of 598 grams and a standard deviation of 22 grams and I pick 9 fruits at random, then their mean weight will be greater than 605.29263 grams 16% of the time.
As per the question statement, a particular fruit's weights are normally distributed, with a mean of 598 grams and a standard deviation of 22 grams and I pick 9 fruits at random.
We are required to calculate their mean weight will be greater than how many grams for 16% of the time.
Given (μ = 598), (σ = 22), and (n = 9)
Therefore, the standard deviation of the distribution of sample, otherwise know as the standard error, will be [s = (sdp)/√(ss)]
Where, "s" is the standard error, "sdp" is the standard deviation of the population and "ss" is the sample size.
Therefore, [s = (22/√9) = (22/3) = 7.33...
Now, we need to look up the z-score for an area to the right of it being equal to (0.16) since we are concerned about (16%) times among the random selection, and [16% = (16/100) = 0.16]
That is, we need to look up the z-score for an area of [(1 - 0.16) = 0.84] to the left of it.
Hence, a z-score with an area of 0.84 to the left of it will be equal to 0.99445.
Now to find the raw score associated with this, we will have to use the formula to calculate z-score which goes as [(x - m)/s].
Where, "z" is the z-score, "x" is the raw score, "m" is the mean and "s" is the standard error.
Therefore, with a mean of 598 and a standard error of 7.333 and a z-score of 0.99445, applied to the above mentioned formula to calculate z-score, we get:
[0.99445 = (x - 598)/7.33]
Or, (x - 598) = (0.99445 * 7.33)
Or, (x - 598) = 7.29263
Or, x = (598 + 7.29263)
Or, [x = 605.29263]
That is, if I pick a sample of 9 fruits at random, then their mean weight will be greater than 605.29263 grams 16% of the time.
Mean: In Mathematics and Statistics, the mean refers to the average of a set of values in a sample or observation.To learn more about Mean, click on the link below.
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The Cat is a high-speed catamaran auto ferry that operates between City A and City B. The Cat can make the in about 3.5 hours at a speed of 56 mph About how far apart are City A and City B?
Answer:
196
Step-by-step explanation:
56*3.5=196
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A 1000 L tank now contains 240 L of water. How long will it take to fill the tank using a pump that pumps 25 L per minute
Answer:
30.4 minutes
Step-by-step explanation:
The tank already has 240L in it, so we need to fill 1000 - 240 = 760L of water.
Since the pump pumps 25L per minute, we can find how many minutes it takes to pump 760L.
760 / 25 = 30.4 minutes.
It will take 30.4 minutes to fill the tank completely.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, The 1000 L tank contains 240 L of water, therefore, the free space in the tank is :
1000-240
= 760 L
The pump fills the tank at a rate of 25 L per minute.
Therefore, it can be represented as:
25 L = 1 minute
1 L = (1/25) minutes
760 L = (1/25)×760 minutes
760 L = 30.4 minutes.
Hence, it will take 30.4 minutes to fill the tank completely.
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Somebody please help me: Evaluate the expression for x = -1/4
Answer:
There are no expressions provided in the question.
can retainers still fit w a small gap?
Answer:
Retainers have been designed to be used as an end of treatment to help retain your teeth in their new position. ... These are removable and fixed retainers. The reason why retainers can't be used to close a gap is because they are fitted at the end of treatment and are made to fit the straight teeth mould.
hope it help u
itz by Riddhi
Answer:
yes
Step-by-step explanation:
T-Shirt Costs 275 Total Cost Number of T-Shirts The cost of t-shirts varies directly with the number of t-shirts. The data is shown in the graph. If x = is number of t-shirts, and y = the cost which equation models of great varlation
Plz help will give brainliest answer
Answer:
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s h o w. a n d. s e e
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You want to adopt a new puppy. The adoption fee is $250, and you have $105.50 saved up so far. If your after school job pays $7.50 per hour. Write and solve an inequality that represents the number of hours you need to
work to save up enough money.
Answer:
You would need to work 20 hours.
Step-by-step explanation:
I did de math
the sugar is sold at rupees 5.4 per kg at a loss of 10% at what price relative is sold per kg to earn a profit of 20%
Answer:
the price sold per kg to earn a profit of 20% is 7.2 kg
Step-by-step explanation:
The computation of the price sold per kg to earn a profit of 20% is shown below:
But before that the normal price per kg is
= 5.4 per kg × 100 ÷ 90
= 6 per kg
Now for 20% profit, the price per kg is
= 6 × (1 + 0.20)
= 6 + 1.2
= 7.2 kg
hence, the price sold per kg to earn a profit of 20% is 7.2 kg
determine which of the equations below could be the class equation given in the proof of theorem 24.2. for each part, provide your reasoning. a. 9 5 3 1 3 1 3 b. 21 5 1 1 1 1 3 1 3 1 3 1 3 1 7 c. 10 5 1 1 2 1 2 1 5 d. 18 5 1 1 3 1 6 1 8
The class equation is if G is a nontrivial finite group whose order is a power of a prime p, is the centralizer of G, and is the centralizer of the element a. (1) Here, the sum runs over representatives of all conjugacy classes that have more than one element.
How can the class equation be found?The commutativity degree, which indicates the likelihood that two members of a group will commute between themselves, is related to the class equation in group theory [3]. The definition is as follows: d ( G ) = | { ( a , b ) ∈ G 2 ∣ a · b = b · a } | | G | 2 .
How can the equation for the class be found?In group theory, there is a connection between the class equation and the commutativity degree, which indicates the likelihood that two members of a group will commute between themselves [3]. The following is the definition: d ( G ) = | { ( a , b ) ∈ G 2 ∣ a · b = b · a } | | G | 2 .
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picture please help
Answer:
y=7
Step-by-step explanation:
Which statement describes a cause of screwed data
a sample that excludes subjects that are not part of the population being measured.
is the following a linear equation or linear expression? 2-5(x-1)
The expression 2 - 5(x - 1) is a linear expression
How to determine the type of the expressionFrom the question, we have the following parameters that can be used in our computation:
2 - 5(x - 1)
The general rule is that
Equations are represented with =Expressions do not make use of the symbolUsing the above as a guide, we have the following:
2 - 5(x - 1) is a linear expression
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Help !!
centimeters and millimeters <3
1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .
How to compare centimeters and millimeters ?The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.
The length of my book in when measured in millimeters is 280 mm.
In centimeters, this is therefore:
= 280 mm / 10 cm /mm
= 28 cm
Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.
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the volume of a rectangle prism is 8cm height 4 width.
Answer:
Step-by-step explanation:
Which statements are true about the graph of y < 2x+1? Check all that apply 3 The slope of the line is 1 The line is solid The area below the line is shaded. A solution to the inequality is (2, 3) The x-intercept of the boundary line is (-2, 0) Graph y
The statements that are true about the graph of y < 2x+1 include the following:
C. The area below the line is shaded.
D. A solution to the inequality is (2, 3).
What is an inequality?In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Based on the information provided, we have the following equation (inequality);
y < 2x + 1
The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).
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What is the distance between 120 and -130 on a number line?
Answer:
250
Step-by-step explanation:
120 is 120 spaces from zero
-130 is 130 spaces from zero
130+120=250
250 spaces from each other
Answer:
250
Step-by-step explanation:
You can think of this in different ways. Here are two ways.
1) The distance between any two points on the number line is the absolute value of the difference of the coordinates. Since you will take the absolute value of the difference, it makes no different in which order you do the subtraction.
For points on the number line with coordinates a and b,
distance = |a - b| = |b - a|
Here the coordinates are -130 and 120.
distance = |-130 - 120| = |-250| = 250
distance = |120 - (-130)| = |120 + 130| = |250| = 250
As you can see, the distance comes out the same no matter the order of the subtraction.
distance = 250
2) Just think of what the problem means and do a little calculation.
120 is a positive number, so it is located 120 units to the right of zero.
-130 is a negative number, so it is located 130 units to the left of zero.
To find the distance between the two numbers, think of starting at -130. You need to go 130 units right to reach zero. Then from zero you need to move another 120 units right to reach 120. The total distance is 130 + 120 which equals 250.
distance = 250
It costs $8.28 for an 18 ounce jar of peanut butter. How much does it cost per ounce of peanut butter?
Answer:
8.28/18 = 0.46
46 cents
Step-by-step explanation: