Answer:
if x divided by negative 5 equals negative 15, you multiply both sides by negative 5, leaving x = 75, which should be your answer
Step-by-step explanation:
what is 43.586 to the nearest tenth ,hundredth,and one
Answer:
43.586
nearest 10th= 43.6
nearest 100th= 43.59
nearest 1 =44
Step-by-step explanation:
Answer:
Nearest tenths 43.6
Nearest hundredths 43.59
Nearest one 44
Step-by-step explanation:
Underline the number in the place value you want to round to. (ex. 43.586, if rounding to nearest tenths).
Is the number immediately to the right of this underlined number less than 5? Or is it greater than or equal to 5?
If the number is less than 5, then the underlined number stays the same.
If the number is greater than or equal to 5, then the underlined number increases by one.
In the example, we have 43.586. 8 is immediately to the right of the underlined number and it is greater than 5. Therefore, our underlined number, 5, increases by one to 6. Thus we have our answer 43.6
Trey started to run on a treadmill after setting its timer for 77 minutes. The display says that he has finished 37% of his run. How many minutes have gone by? Round your answer to the nearest tenth.
If 1/8 cup of popcorn makes 6 quarts, how many quarts will 3/8 cup make?
Answer:
18 quarts, 3 x 6 is 18.
Step-by-step explanation:
Find the missing side. Round to the nearest tenth.
A. 34.5
B. 8.7
C. 33.4
D. 11.6
three cards are drawn sequentially from a shuffled deck without replacement. what is the approximate probability all three drawn cards have numbers on them? group of answer choices 41.3% 69.2% 32.3% 33.2%
Probability all three drawn cards have numbers on them = 32.3%
Out of 52 total cards, there are 36 numbered cards.
In the first attempt probability of numbered cards being drawn
= 36 / 52
=0.692
After the first draw, total numbered cards remaining = 35
Total cards remaining = 51
Probability of numbered card in second attempt = 35 / 51
= 0.686
Probability of numbered card in third attempt = 34 / 50
= 0.68
Total probability of all cards being numbers = (36 / 52) x (35 / 51) x (34/50)
= 0.692 x 0.686 x 0.68
=0.323 x 100%
=32.3%
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LOGIC, Use the model universe method to show the following invalid.
(x) (AxBx) (3x)Ax :: (x) (Ax v Bx)
The conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).
To show that the argument is invalid using the model universe method, we need to find a counterexample where the premises are true, but the conclusion is false.
Let's consider the following interpretation:
Domain of discourse: {1, 2}
A(x): x is even
B(x): x is odd
Under this interpretation, the premises "(x)(A(x) ∧ B(x))" and "(∃x)A(x)" are true because all elements in the domain satisfy A(x) ∧ B(x), and there exists at least one element (e.g., 2) that satisfies A(x).
However, the conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).
In this counterexample, the premises are true, but the conclusion is false, demonstrating that the argument is invalid using the model universe method.
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The base of a triangle is 10 cm
greater than the height. The area is
28 cm2. Find the height and base.
Cole jarred 8 liters of jam after 2 days. How much jam did Cole jar if he spent 5 days making jam? Assume the relationship is directly proportional.
Víctor claims that when 1/6 is divided by a fraction the result will always be greater than 1/6 find an example of a fraction that supports victors claim and an example of a fraction that contradicts victors claim
Answer:
Step-by-step explanation:
Choose a random fraction less than 1. I will choose 1/4.
1/6 ÷ 1/4 = 1/6 × 4/1 = 4/6 = 2/3
2/3 > 1/6 so this example supports his claim.
Now chose a fraction greater than 1. I will choose 4/3
1/6 ÷ 4/3 = 1/6 * 3/4 = 3/24
3/24 < 1/6 so this contradicts his claim
Which test statistic should be used when computing a confidence interval given only the number in a sample, the population standard deviation and sample mean?.
Z- test statistics should be used when computing a confidence interval given only the number in a sample, the population standard deviation and the sample mean.
What is the z- test?A z-test can be used to assess whether or not the means of two populations differ if the data has a normal distribution. For this reason, it is essential to set up the null hypothesis, and the alternative hypothesis, and determine the z-test statistic's value. The choice criterion is founded on the z critical value.
The z-test formula compares the z statistic with the z critical value to see if there is a difference between the means of the two populations. In hypothesis testing, the z critical value delineates the acceptance and rejection regions of the distribution graph. If the test statistic falls within the rejection region, the null hypothesis can be rejected; otherwise, it cannot.
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Triangles X Y Z and E G F are shown. Side X Y is 3.0 inches and angle Y Z X is 107 degrees. Side F G is 2.4 inches and side E F is 1.3 inches. Angle G E F is 48 degrees. Given ΔXYZ ≅ ΔEGF, find the measurements of the unknown sides and angles. ZX = in. EG = in. M∠X = ° m∠G = °
Answer:
ZX = 1.3 in
EG = 3.0 in
M∠X = 48°
M∠G = 25°
Step-by-step explanation:
As we can see in the attached figure that these two triangles are identical i.e their corresponding sides and angles are equal
Therefore if we say that
ZX = EF
So ZX = 1.3 in.
Now the same is applied for other sides and angles
EG = XY
So, EG = 3.0 in
M∠X = M∠E
hence, M∠X = 48°
For the M∠ G,
The angle is
= 180° - 107° - 48°
= 25°
Hence, the M∠ G is 25°
PLEASE HELP!!!!!!!!!!! BEFORE 11:59 PM EST
multiply: 1/6 (-3/7) answer in simplest form
1/6 (-3/7)
\(\frac{1}{6}\cdot\frac{-3}{7}=\frac{-3}{6\cdot7}=\frac{-3}{2\cdot\text{ 3 }\cdot\text{ 7}}=\frac{-1}{2\cdot7}=\frac{-1}{14}\)Answer:
-1 /14
\(\frac{-1}{14}\)Given a 95% Confidence Interval for a population mean: (195, 220) which of the following are plausible values for the true population mean?
answered
Marked out of
There may be one or more correct answer. See Section 3.2 if you're not sure what is meant by 'plausible value!
1.00
A.100
B.120
C.140
D.160
E.180
F.200
The correct answers are F. 200 and E. 180
A 95% Confidence Interval for a population mean: (195, 220), we can use this to find out which of the following are plausible values for the true population mean.
The confidence interval is given by x ± Zα/2(σ/√n)
where: x is the sample mean. Zα/2 is the Z-score for the confidence level (α)σ is the population standard deviation√n is the sample sizeWe are not given the sample size, so we can't calculate the exact confidence interval. However, we can say that the midpoint of the interval (also called the point estimate) is: Point estimate = (lower limit + upper limit)/2= (195 + 220)/2= 207.5Therefore, any value that is close to 207.5 could be a plausible value for the true population mean. Among the answer choices provided, 200 and 180 are the most plausible values for the true population mean because they are closest to 207.5.
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Refer to Table S6.1- Factors for Computing Control Chart Limits (3 sigma) for this problem. Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results Hour X R Hour x R Hour x R Hour x 1 3.35" 0.76" 2 3.00 1.23 3 3.32 1.43 4 3.49 1.21 5 3.17 1.17 6 2.96 0.42 7 2.95" 0.58" 13 3.21 0.90" 194.51" 1.56" 8 2.55 1.13 14 2.83 1.36 20 2.89 1.09 9 2.92 0.66 15 3.12 1.11 21 2.65 1.08 10 2.95 1.33 16 2.74 0.50 22 3.38 0.46 11 2.83 117 17 2.96 1.4323 12 2.97 0.40 18 2.74 1.3424 3.04 2.64 1.63 1.02 Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Upper Control Limit (UCLinches (round your response to three decimal places). Lower Control Limit (LCL?)-inches (round your response to three decimal places). Based on the x-chart, the wire cutting process has been The control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before proceeding with further calculations) Upper Control Limit (UCLR)inches (round your response to three decimal places).
The control limits for 3-sigma x chart are
Upper Control Limit - 3.807 inches
Lower Control Limit - 2.291 inches
The control limits for the 3-sigma R-chart are Upper Control Limit- 2.373 inches
X-double bar = Sum of observations (x-bar) / Total number of observations
X-double bar = 73.17 / 24
X-double bar = 3.049
R-bar = Sum of observations (R) / Total number of observations
R-bar = 24.97 / 24
R-bar = 1.040
(a) The Upper Control Limit (UCLx) and Lower Control limit (LCLx) for the 3-sigma x-bar chart is calculated as,
UCLx = X-double bar + (A2 x R-bar)
LCLx = X-double bar - (A2 x R-bar)
From the table of factors for computing the control chart limits (3-sigma),
For n = 4 (4-pieces of precision cut wire)
A2 = 0.729
Putting these values in the above formulas, we get,
UCLx = 3.049 + (0.729 x 1.040)
UCLx = 3.807 inches
LCLx = 3.049 - (0.729 x 1.040)
LCLx = 2.291 inches
Based on the x-bar chart, the wire cutting process has been out of control, because the observation at 19th hour (4.51) lie outside the computed upper control limit and lower control limit.
(b) The Upper Control Limit (UCLr) and Lower Control limit (LCLr) for the 3-sigma R-chart is calculated as,
UCLr = D4 x R-bar
LCLr = D3 x R-bar
From the table of factors for computing the control chart limits (3-sigma),
For n = 4 (4-pieces of precision cut wire)
D3 = 0, D4 = 2.282
Putting these values in the above formulas, we get,
UCLr = 2.282 x 1.040
UCLr = 2.373 inches
LCLr = D3 x R-bar
LCLr = 0 x 1.040
LCLr = 0 inches
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What equation represents a line that passes through (2,-1/2) and has a slope of 3.
How do you calculate Cramer rule?
Answer: Cramer's rule is a method for solving systems of linear equations by using determinants. To use Cramer's rule, you first need to set up the system of equations in matrix form, like so:
[A][x] = [b]
where [A] is the coefficient matrix of the system, [x] is the vector of unknowns, and [b] is the vector of constants.
To apply Cramer's rule, you can solve for each unknown in [x] by calculating the determinants of a series of matrices that are formed by replacing one column of [A] at a time with the constants in [b]. Specifically, the solution for the ith unknown is given by:
xi = det([A]i) / det([A])
where [A]i is the matrix formed by replacing the ith column of [A] with the constants in [b], and det([A]) is the determinant of the original matrix [A].
To calculate the determinants, you can use any method you prefer, such as row reduction or cofactor expansion. Note that Cramer's rule only works for systems of linear equations with the same number of equations as unknowns, and it can be computationally expensive for large systems.
Step-by-step explanation:
17. In a spelling competition, school X had 12 more participants than school Y and 18 fewer participants than school Z. The ratio of the number of boys to the number of girls in school X, Y and Z were 1:2, 1:5 and 2: 1 respectively. There were 50 more girls than boys in total from the 3 schools. How many participants from the 3 school were there in all?
There were 204 participants from the three schools
How to determine the number of participants?The given parameters are:
X = 12 + Y
X = Z - 18
Girls = Boys + 50
The ratios of the number of boys to girls in the schools are:
1 : 2
1 : 5
2 : 1
This means that:
School X: Boys = 1/3 and Girls = 2/3School Y: Boys = 1/6 and Girls = 5/6School Z: Boys = 2/3 and Girls = 1/3So, we have:
Boys = 1/3X + 1/6Y + 2/3Z
Girls = 2/3X + 5/6Y + 1/3Z
Substitute the above equations in Girls = Boys + 50
2/3X + 5/6Y + 1/3Z = 1/3X + 1/6Y + 2/3Z + 50
Evaluate the like terms
1/3X + 2/3Y - 1/3Z = 50
Multiply through by 3
X + 2Y - Z = 150
So, we have:
X = 12 + Y
X = Z - 18
X + 2Y - Z = 150
Substitute X = 12 + Y in X = Z - 18 and X + 2Y - Z = 150
12 + Y = Z - 18 ⇒ Y - Z = 30
12 + Y + 2Y - Z = 150 ⇒ 3Y - Z = 138
Subtract Y - Z = 30 from the equation 3Y - Z = 138 to eliminate Z
2Y = 108
Divide by 2
Y = 54
Substitute Y = 54 in X = 12 + Y
X = 12 + 54
X = 66
Substitute X = 66 in X = Z - 18
66 = Z - 18
Solve for Z
Z = 66 + 18
Z = 84
So, the total number of participants from the 3 schools is
Total = X + Y + Z
This gives
Total = 66 + 54 + 84
Evaluate the sum
Total = 204
Hence, there were 204 participants from the three schools
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The correlation between two variables x andy is r=0.25. If we used a regression line to predict y using x, what percent of the variation in y would be explained by the linear regression of yon x? a. 5%
b. 50% c. 25 d. 6.25%
If the correlation between two variables x and y is r=0.25, the variation in y would be explained by the linear regression of y on x is 6.25%. Correct option is D.
The square of the correlation coefficient (r) is equal to the proportion of the variance in y that can be explained by the linear regression of y on x.
Therefore, in this case, the proportion of the variance in y that can be explained by the linear regression of y on x is:
r^2 = 0.25^2 = 0.0625
This means that 6.25% of the variance in y can be explained by the linear regression of y on x.
So the correct answer is d. 6.25%.
Other factors, such as the sample size, the distribution of the variables, and the presence of outliers, should also be taken into consideration when evaluating a regression model.
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what is the value of x in the figure
Answer:
x is 35
Step-by-step explanation:
the two angles are opposite so they are equal
Answer:
x = 35°
Step-by-step explanation:
Vertical Angles
When two lines cross, two pairs of angles are formed. Those who are opposed by the vertex are called vertical angles and they are always congruent.
Congruent angles have the same measure.
Thus, the angle marked as x is opposed to 35° and they have the same measure, thus:
x = 35°
Recently, frogs have been disappearing from the wild due to a contagious fungus. To monitor the current population in a certain region, Ruth collects 85 frogs, marks them, and releases them. Later, she collects 500 frogs and finds that 17 of them are marked. To the nearest whole number, what is the best estimate for the frog population?
Therefore, the best estimate for the frog population, to the nearest whole number, is 2500.
What is equation?An equation is a mathematical statement that shows that two expressions are equal to each other. An equation typically contains one or more variables (represented by letters), which are unknown values that we want to find. Equations are used to solve problems in a wide variety of mathematical and scientific fields, as well as in everyday life.
Here,
To estimate the frog population, we can use the mark and recapture method, also known as the Lincoln-Petersen index. The basic idea is that if we mark a portion of a population and release them back into the wild, then we can later recapture a sample of the population and use the proportion of marked individuals in the sample to estimate the size of the entire population. The formula for the Lincoln-Petersen index is:
Estimated population size = (Number marked in first sample * Number in second sample) / Number recaptured in second sample
Using the given information, we can plug in the values and get:
Estimated population size = (85 * 500) / 17
Estimated population size = 2500
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What is the GCF of 3/7 , 6/7, and 2/7
help :)
Section 8 - Topic 1 Introduction to Quadrilaterals – Part 1
1. LE and OL are adjacent because they share the same angle.
2. <T and <A are opposite angles
3. <C and <T and Adjacent angles.
What is an Adjacent Angle?These are two angles that share a common side and the same corner point or vertex.
What is an Opposite Angle?These are non-adjacent angled that are created by two lines crossing each other.
The correct answers, therefore, are C, D, and C.
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pls help this is due tomorrow, no links!! will mark you brainliest, maybe better if you graph this on paper
Answer:
Step-by-step explanation:
I know this isnt graphed on paper but here you go,
Blue: \(y=-\frac{2}{3}x+3\)
Green: \(-4x+5\)
Red: \(y=3x-3\)
you can use desmos's graphing calculator online
\(1) \: y = 3x - 3 \\ 0 = 3x - 3 \\ - 3x = - 3 \\ x = \frac{ - 3}{ - 3} \\ x = 1 \\ y = 3x - 3 \\ 3(0) - 3 \\ y = - 3 \\ 2) \: y = - \frac{2}{3} x + 3 \\ 0 = - 2x + 9 \\ 2x = 9 \\ x = \frac{9}{2} \\ y = - \frac{2}{3}(0) + 3 \\ y = 3 \\ 3) \: y = 4x + 5 \\ 0 = 4x + 5 \\ - 4x = 5 \\ x = - \frac{5}{4} \\ y = 5\)
plz help me i have all Fs
Answer:
D.
Step-by-step explanation:
The punnet square is divided into 4 sections. RR means red, Rr means pink, and rr means white.
There is only one square with RR, so that's 25% red. (1 out of 4 squares)
Two squares are Rr, which means 50% are pink.
One square is rr, which means the remaining 25% is white.
There are 42 runners in a race. How many different ways can the runners finish first, second, and third?
Answer:
There are 68,640 different ways the runners can finish first, second, and third in the race.
Concept of Permutations
The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.
Brief Overview
Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.
Calculations
To calculate the total number of different ways, we multiply the number of choices for each position:
42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.
Concluding Sentence
Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.
find the quantities of 18% of 50
Answer:
9
Step-by-step explanation:
18%of 50
18/100×50
0.18×50= 9
Answer:
9
Step-by-step explanation:
18% of 50
We can rewrite it as,
% = 1/100of = *(into)> 18/100 * 50
Solving,
18/100 * 5018/10 * 518/29Hence,18% of 50 = 9
help please me!!!!!
Answer: C
Step-by-step explanation:
-25+-15+43
-15+43+-25
43+-15+-25
43+-25+-15
-15+-25+43
-25+43+-15
all equal 3
What is the area of the figure?
A. 44 sq cm
B. 208 sq cm
C. 192 sq cm
D. 256 sq cm
Answer:
256
Step-by-step explanation:
Answer:
256 cm
Step-by-step explanation:
16 x 4 = 64
16 x 8 = 128
8 x 8 = 64
64 + 64 = 128 + 128 = 256
HURRY HELP
Beatrice made 7 2/3 cups of lemonade for her lemonade stand. Later, she made 10 3/5 more cups of lemonade. How many cups of lemonade did she make in total?
Answer:
18 4/5
Step-by-step explanation:
Basically, all you have to do is add these.
One thing you can do is simplify the fractions and make it so each of them have the same denominator. 7 2/3 will be 7 10/15 and 10 3/5 will be 10 9/15. Now just add these numbers and you will get 17 19/15. Simplify this and you will have 18 4/5.
Hope this helped! Please mark me as brainliest!
Answer:
18 and 4/15 cups
Step-by-step explanation:
7 2/3 + 10 3/5
2/3 * 5/5 = 10/15 (because you need common denominators)
3/5 * 3/3 = 9/15 (because you need common denominators)
7 10/15 + 10 9/15 = 17 19/15 = 18 4/15