Answer:
The equation would be - x(15)-3=y
Step-by-step explanation:
It says X is being multiplied by 15 then after it was subtracted by 3. After you set it equal to Y and there is your equation.
Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 56 and 64? Round your
answer to the nearest tenth of a percent.
A. 61. 5%
B. 64. 5%
C. 63. 5%
D. 62. 5%
SUBMIT
The probability that a data value is between 56 and 64 is 62.5%. Option D is the correct answer.
The given normal distribution has the following parameters:
Mean = 62
Standard deviation = 4
To find the probability that a data value is between 56 and 64, we need to find the z-scores corresponding to these values. Using the z-score formula, $$z=\frac{x-\mu}{\sigma}$$
Where x is the data value, µ is the mean, and σ is the standard deviation. Substituting the given values, we get:
For x = 56,$$z=\frac{56-62}{4}=-1.5$$For x = 64,$$z=\frac{64-62}{4}=0.5$$
Now we need to find the probability that a data value is between these z-scores using the standard normal distribution table. The table gives the area under the curve to the left of a given z-score. To find the area between two z-scores, we need to find the difference between the areas to the left of the two z-scores.
Using the standard normal distribution table, we find:
Area to the left of z = -1.5 is 0.0668
Area to the left of z = 0.5 is 0.6915
Therefore, the area between z = -1.5 and z = 0.5 is:0.6915 - 0.0668 = 0.6247
Rounding off to the nearest tenth of a percent, we get 62.5%. Hence, the correct option is D.
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A 2-column table with 4 rows titled How many text messages do you send a day question mark. Column 1 has entries 0-50, 50-100, 100-150, more than 150. Column 2 has entries 10 percent, 75 percent, 10 percent, 5 percent.
The 4,000 students at Tech High were surveyed about their use of text messaging. How many students said they text 50-100 times a day?
students
Answer:
3000
Is Your Answer
Answer:
3000
Step-by-step explanation:
a least squares regression line . a.may be used to predict a value of y if the corresponding x value is given b.implies a cause-effect relationship between x and y c.can only be determined if a good linear relationship exists between x and y d.is only used for positively correlated data
The least square regression line implies a mathematical equation that models the relationship between the dependent and independent variables. Hence, it may be used to predict a value of y if the corresponding x value is given. The least square regression line also called the best fit line, gives a mathematical relationship between variables in slope-intercept form.The predicted value of y or x if the corresponding value of either variable is given.
what is regression?
A statistical method called regression links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable.
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Write an expression that could be used to calculate the cost of the Ross’ dinner before adding tax in a two
The expression that can be used calculate the cost of the Ross dinner before adding tax and a tip is 4( 11.50 + 1.50 + 2.75)
Algebraic expressionNumber of people in the family = 4Cost of each pasta dish = $11.50Total cost of pasta dish = $11.50 × 4= $46
Cost of each drink = $1.50Total cost of each drink = $1.50 × 4= $6
Cost of another drink each = $2.75Total cost of another drink = $2.75 × 4= $11
Total cost of the family's dinner = Total cost of pasta dish + Total cost of each drink + Total cost of another drink
= $46 + $6 + $11
= $63
Alternatively,
Total cost of the family's dinner = 4( 11.50 + 1.50 + 2.75)
Complete question:
Ross family recently dined at an italian restaurant. each 4 family members ordered a pasta dish that cost $11.50, a drink that cost $1.50, and $2.75
write an expression that could be used to calculate the cost of the family's dinner before adding tax and a tip.
what was the cost of dining out for the ross family
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Find the missing quantity in the double number line.
The missing quantity is 100 books in the double number line.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".
Let the missing quantity be x in the double number line.
According to the given condition, we can write the proportion would be as:
40 books : 2 boxes = x books : 5 boxes
⇒ 40 / 2 = x / 5
Apply the cross-multiplication operation,
⇒ 40 × 5 = 2x
⇒ 2x = 200
⇒ x = 200/2
⇒ x = 100
Therefore, the missing quantity is 100 books in the double number line.
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f(x) = 3x^2+1
1. f(-2) =
Answer:
Step-by-step explanation:
\(f(x) = 3x^{2} +1\\f(-2) = 3(-2)^{2} +1 = 12 + 1 =13\\\)
The answer is 13.
Hope that helps!
Answer:
\(f(-2) =13\)
Step-by-step explanation:
\(f(x) = 3x^2+1\), f(-2)
\(f(x) = 3x^2+1\)
\(f(-2) = 3(-2^2)+1\)
\(f(-2) = 3(4)+1\)
\(f(-2) = 12+1\)
\(f(-2) =13\)
Hope this helps!
In a one-way ANOVA, the null hypothesis is always a. all the population means are different b. there is no treatment effect. c. there is some treatment effect. d. some of the population means are different.
The null hypothesis in a one-way ANOVA test is that there is no treatment effect. This means that the mean scores of the groups being compared are not significantly different. The one-way ANOVA test is a statistical method used to compare the means of three or more groups.
The one-way ANOVA test requires that certain assumptions be met, including that the data is normally distributed and that the variances of the groups being compared are equal. If these assumptions are met, then the test can be used to determine whether there is a significant difference between the means of the groups. The test works by comparing the variability between the groups to the variability within the groups.
If the variability between the groups is larger than the variability within the groups, then it is likely that there is a significant difference between the means of the groups. The alternative hypothesis in a one-way ANOVA test is that there is some treatment effect, which means that at least one of the group means is different from the others.
If the null hypothesis is rejected, then the alternative hypothesis is accepted, and it can be concluded that there is a significant difference between the means of the groups. The one-way ANOVA test is useful for determining whether there is a significant difference between the means of several groups, but it does not provide information about which specific group means are different. To determine which group means are different, post hoc tests can be performed.
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Which of the following points are solutions to the equation 3x-4y-8+12
Answer:
=3x−4y+4
please Brainiest
Step-by-step explanation:
Let's simplify step-by-step.
3x−4y−8+12
=3x+−4y+−8+12
Combine Like Terms:
=3x+−4y+−8+12
=(3x)+(−4y)+(−8+12)
=3x+−4y+4
by selling a cycle for rs 2250 ,the man loses rs 50 ,at what prize he sell to make a profit of rs 80?
Answer:
SELLING PRICE OF CYCLE = 2250RS
LOSS MAN SUFFERED = 50RS
Step-by-step explanation:
COST PRICE = SP + LOSS
CP = 2250 + 50
CP = 2300 RS
FORMULA OF PROFIT = SP - CP
TO MAKE PROFIT OF 80 RS
80 = SP - 2300
SP = 2380 RS
HE SHOULD SELL THE CYCLE AT 2380 TO MAKE PROFIT OF 80 Rs
Thank you
PLEASE MARK AS BRAINLIEST
Answer:
rs 2380
Step-by-step explanation:
→ Add rs 50 to the selling price to not make a profit or loss
2250 + 50 = 2300
→ Add rs 80 to the answer above
80 + 2300 = 2380
Consider results of 20 randomly chosen people who have run a marathon. Their times, in minutes, are as follows: 137, 143, 153, 162, 168, 176, 190, 192, 196, 203, 218, 223, 236, 243, 252, 269, 271, 276, 283, 287. Calculate a 99% upper confidence bound on the mean time of the race. Assume distribution to be normal. Round your answer to the nearest integer (e.g. 9876). u
According to the question we have the 99% UCB on the mean time of the race is 223.
The formula for finding the upper confidence bound (UCB) is UCB = Mean + (Zα/2)(σ/√n), where Mean is the sample mean, Zα/2 is the z-score for the desired level of confidence, σ is the population standard deviation (which is not given, so we'll use the sample standard deviation instead), and n is the sample size.
We are given the sample of times as follows:137, 143, 153, 162, 168, 176, 190, 192, 196, 203, 218, 223, 236, 243, 252, 269, 271, 276, 283, 287.
We'll need to calculate the sample mean and standard deviation before we can find the UCB. Using a calculator, we get: mean ≈ 207.65s ≈ 48.41 Next, we'll use a table or calculator to find the z-score for a 99% confidence interval, which is Zα/2 = 2.576.
Now we can plug in the values we know to get the UCB:UCB = mean + (Zα/2)(σ/√n)UCB ≈ 207.65 + (2.576)(48.41/√20)UCB ≈ 223.02 .Therefore, the 99% UCB on the mean time of the race is 223.
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pleasee answer asap
Answer:
Read below :)
Step-by-step explanation:
So, you have 80 peeps total, right? let's separate them into their core numbers
80 peeps
19 have Crocs
3 have neither
4 have both
61 people with no crocs. of them, 4 have flip flops as well. 80 -3 = 77 so forget the 80 from now on, let's work with 77.
The MIDDLE of the Penn Diagram, where they intersect, 4 people have both.
On the LEFT, 58 people have flip flops, and on the RIGHT, 23 people have Crocs.
Assume you are working with population of n= 16 scores. the sum of all of the scores is equal to 96. what is the population mean?
The population mean of the data is 6.
How to find the population mean?The population has n = 16 scores.
The sum of all of the scores is equal to 96.
Therefore, the population mean can be found as follows:
The population mean is the mean or average of all values in the given population.
The population mean is represented mathematically as follows:
population mean = sum of terms / number of terms
Therefore,
sum of terms = 96
number of terms = 16
Hence,
population mean = = 96 / 16
population mean = 6
Therefore, the population mean of the data is 6.
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Solve the equation, -(X/ d )=5 , for x . Which of the following properties of equality did you apply
Answer:
Multiplication
The solution of given equation x = -20
Step-by-step explanation:
step (i) :-
given equation = -(x/4) = 5
multiply '1' on both sides we get
\( = - (( - \frac{x}{4} )) = - 5\)
\( = \frac{x}{4} = - 5\)
step (ii) :-
multiply '4' on both sides we get
\( = \: \: \: \: \: \frac{x}{4} \: \: \times \: 4 \: \: = - 5 \times 4\)
Cancellation '4' on left side we get
x = -20
conclusion:-
The solution of given equation x = -20
What is the location of point G, which partitions the directed line segment from D to F into a 5:4 ratio
Point G is two, which divides the directed line segment from D to F into a 5:4 ratio at that place.
What are straight-line equations?The general equation for every straight line is y = mx + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y-axis).
The variables x and y are related to coordinates on the line in the linear equation y = mx + c.
The formula y = mx + c yields a result for y when we enter a value for x.
As y depends on the value of x, it follows that x is an independent variable and y is a dependent variable.
According to our question-
From negative five to positive ten is a number line.
Points D and F are at -2 and +7, respectively.
The distance between point D and F is,
=9
If Point G divides the directed line segment from D to F into a 5: 4 ratio, then,
=2
Hence, The directed line segment from D to F is divided into a 5:4 ratio at point G by the number 2.
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27°
15
Solve for b.
40°
b
b = [ ?
Round your final answer
to the nearest tenth.
10.59 is the value of the given side b.
In our case, we know that side A has a length of 15 units and is opposite angle A, which measures 27 degrees.
Using the sine rule, we can write:
b/sin(27°) = 15/sin(40°)
To find the value of b, we can rearrange the equation:
b = (15 * sin(27°)) / sin(40°)
evaluate the trigonometric functions and calculate b:
b ≈ 10.59
Therefore, using the sine rule of the triangle, we find that the value of side b is approximately 10.59 units.
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A town randomly surveyed some residents to see if they were interested in adding a dog park. The results of the survey are shown in the two-way table. What is the probability that a randomly selected resident is in favor of the dog park?
The probability that a randomly selected resident is in favor of the dog park is 7/18.
What is the probability?Probability is used to calculate the chances that an event would happen. The probability the event occurs with certainty is 1 and the probability that the event does not occur with certainty is 0.
The probability that a randomly selected resident is in favor of the dog park = number of students in favor of the dog park / total number of residents
35/ 90
Express the fraction in its simplest form by dividing the numerator and the denominator by 5
= 7 / 18
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On The Standard Normal Curve, The 68th Percentile Corresponds To The Mean Value Of The Data Set Is That True Or False
The 68th percentile on the standard normal curve corresponds to the mean value of the data set. This statement is false.
The 68th percentile on the standard normal curve corresponds to one standard deviation away from the mean. In other words, approximately 68% of the data falls within one standard deviation of the mean on the standard normal distribution. This is a property of the normal distribution, which is a continuous probability distribution commonly used in statistics.
To clarify, the mean value of a data set is the arithmetic average of all the values in the data set. It is not directly related to the 68th percentile on the standard normal curve. The mean is a measure of central tendency and is influenced by all the data values, while the percentile is a measure of relative position in the distribution of data.
Therefore, it is important to understand the difference between percentiles and measures of central tendencies, such as mean, median, and mode, when analyzing data using statistical techniques.
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) a stick is broken into three pieces by picking two points independently and uniformly along the stick, and breaking the stick at those two points. what is the probability that the three pieces can be assembled into a triangle?
The probability that the three pieces can be assembled into a triangle is 25%
Let the length of the stick be 1, so each break can occur at a position in the interval [0,1]. Let x and y be the two breaks in the stick. Then the area of the region in the square bounded x=0, x=1, y=0, y=1, which represents combinations of x and y, for which we can form a triangle. Since the area of the whole square is 1, the area of the region inside is the probability of the triangle.
If y>x, then the lengths of the pieces are x, y-x, and 1-y.
The triangle inequality must hold for each combination of edges.
for y>x ...
x+y−x≥1−y
x+1−y≥y−x
y−x+1−y≥x
these simplify to...
for y>x ...
y≥1/2
x+1/2≥y
x≤1/2
If we cut our 1x1 square into two triangles along the line x=y,
then the region in the upper triangle which satisfies the inequalities above forms a smaller triangle which connects the midpoints of the upper triangle.
The lower triangle (x>y), is just a reflection about x=y of the upper triangle, so together, the entire region looks like a bow-tie at a 45 degree angle.
This region takes up 25% of the square,
Thus, the probability that the three pieces can be assembled into a triangle is 25%
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What are the subtypes of quantitative data (techniques)?
There are two main subtypes of quantitative data, which are discrete data and continuous data. Each subtype has different techniques for analysis.
1. Discrete data: This type of data represents whole numbers or counts that can only take specific values. Examples include the number of students in a class or the number of cars in a parking lot. Techniques used to analyze discrete data include:
a. Frequency distribution: A summary of the number of times each value appears in the dataset.
b. Measures of central tendency: Calculating the mean, median, and mode of the dataset to understand its central point.
c. Measures of dispersion: Assessing the range, variance, and standard deviation to understand the spread of the data.
2. Continuous data: This type of data represents measurements that can take any value within a range, such as height, weight, or temperature. Techniques used to analyze continuous data include:
a. Histogram: A graphical representation of the distribution of the data, using bars to represent the frequency of values within specific intervals.
b. Probability density function: A mathematical function that describes the probability of a continuous random variable falling within a specific range.
c. Regression analysis: A statistical method for analyzing the relationship between a dependent variable and one or more independent variables.
Both discrete and continuous data can also be analyzed using inferential statistics, such as hypothesis testing and confidence intervals, to make inferences about a population based on a sample of the data.
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Help please I don’t get it
a) The expected number of people to die before their 71st birthday is given as follows: 128.
b) The probability that a 67 year old woman will live to her 68th birthday is given as follows: 0.8876 = 88.76%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
0.025679 of the 70 year old men die, hence the expected number out of 5000 is given as follows:
0.025679 x 5000 = 128.
The probability for item b is given as follows:
0.016798/0.018925 = 0.8876 = 88.76%.
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Please help I do not understand
Answer:
-3/7
Step-by-step explanation:
Hi,
First of all, we know that the slope is not undefine because both the x-coordinates are not the same.
To find the slope, do change in y/change in x. Here, it would be ((2/7)-(5/7))/(2-1) or (-3/7)/1. Hence, the slope is -3/7.
24
÷
6
+
39
÷
3
+
19
?
Answer:
36
Step-by-step explanation:
=4+13+19
=17+19
=36
Answer:
Pemdas
Step-by-step explanation:
24/6 = 4
39/3 = 13
4 + 13 + 19 = 36
Help, Please
I don’t understand
Answer:
B. 60%
Step-by-step explanation:
Formula to be used:
Percent of Increase/Decrease = Final Price ÷ Original Price x 100
Substitute
510 ÷ 850 = 0.6
Turn into percentage
0.6 x 100 = 60%
What is 6+4+7+6+3+6+7+8+6+7+5+8+3+6+11+6+9+5+8+5+9+8+7+3+9+10+8+9+6+4+7+2+7+5+4+6
Answer:
230
Step-by-step explanation:
If you simply add the numbers step by step. You will end up with 230.
helpp please!
Which equation verifies that the value of x in the diagram is equal to 10?
the equation that verifies that the value of x in the diagram is equal to 10 is 7 = 1/2(4 + x). Option A is correct
The given diagram is a quadrilateral. Using the mid-segment theorem of shapes;
7 = 1/2(4 + x)
Cross mulltiply
7 * 2 = 4 + x
14 = 4 + x
Subtract 4 from both sides:
14 - 4 = 4 + x - 4
14 - 4 = x
x = 10
Hence the equation that verifies that the value of x in the diagram is equal to 10 is 7 = 1/2(4 + x)
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According to BPT theorem
7=1/2(4+x)Lets see how
1/2(4+x)=74+x=14x=14-4=10Yes this satisfies
Option D
Solve the system of equations.
A. (3,2)
B. (-2,0)
C. (0, -2)
D. (-4,2)
Answer:
d. (-4,2)
Step-by-step explanation:
Here, Y = 1/2X + 4
Or, –5/4X – 3 = 1/2X + 4 (From equation 1 and 2)
Or, –5/4X = 1/2X + 4 + 3
Or, –5/4X = 1/2X + 7
Or, 1/2X + 7 = –5/4X
Or, 7 = –5/4 X – 1/2 X
Or, –5/4X – 2/4 X = 7
Or, –7/4 X = 7
Or, –7 X = 7 × 4
Or, –7X = 28
Or, X = 28/–7
Or, X = – 4
Here, in the fourth option, we can see that X= –4, Hence Option D— (-4,2) Is correct.
After a dilation centered at the origin, the image of CD is C'D'.
If the coordinates of the endpoints of these segments are C(6,-4),
D(2,-8), C'(9,-6), and D'(3.-12), the scale factor of the dilation is
3/2
2/3
3
1/3
Answer: 3/2
Step-by-step explanation: just believe me
The value of the dilation factor is 3/2 after a dilation centered at the origin, and the image of the CD is C'D' option first is correct.
What is dilation?The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.
We have CD after dilated from centered it becomes C'D'
Let m be the dilation factor:
Then,
6m = 9 ⇒ m = 3/2
-4m - -6 ⇒ m = 3/2
2m = 3 ⇒ m = 3/2
-8m = -12 ⇒ m = 3/2
Thus, the value of the dilation factor is 3/2 after a dilation centered at the origin, and the image of the CD is C'D'. If the coordinates of the endpoints of these segments are C(6,-4), D(2,-8), C'(9,-6), and D'(3.-12)
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Convert the angle (θ=180 degrees) into radians
Answer: π
Step-by-step explanation:
To convert from degrees to radians, you want to multiply the degrees by (π/180). In this case, we would multiply 180° by (π/180).
\(180*\frac{\pi }{180} =\pi\)
Find x.
\( \frac{x}{x + 7} = \frac{16}{22} \)
The equals is for proportionate I couldn't find the symbol for it.
According to the property of proportions,
Product of means = Product of extremes
x and 22 are extremes. (x + 7) and 16 are means.So, simply we did cross multiplication.
Step-by-step explanation:
56/3 is the answer. Refer to the attachment for the solution. :)
Dominique decorates a round cake with fruits. The cake has a diameter of 16 inches. She frosts just the top if the cale. How many square inches of the cake are covered with icing?Use 3. 14 for π
The amount of square inches of the cake that are covered with icing is 201.06, calculated by using the formula (π * radius2), with π equal to 3.14 and the radius equal to 8 inches.
1. Use the formula (π * radius2), with π equal to 3.14
2. The radius is half of the diameter, divide the diameter (16 inches) by 2
3. Radius = 16 inches / 2 = 8 inches
4. Calculate π * radius2: 3.14 * (8 inches)2 = 201.06 square inches
π * (8 inches)2
= 3.14 * (64 inches2)
= 201.06 square inches
Dominique is decorating a round cake with fruits and has frosted just the top of the cake. To determine the area of the cake that is covered with icing, we can use the formula (π * radius2). Since the cake is round, we can determine the radius of the cake by dividing the diameter of the cake (16 inches) by 2, resulting in the radius being 8 inches. We can then calculate the area of the cake covered with icing by multiplying π by the radius squared. Using the number 3.14 for π, the calculation is 3.14 * (8 inches)2, which equals 201.06 square inches. Therefore, 201.06 square inches of the cake are covered with icing.
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