Answer: 2500
Step-by-step explanation: 5x10 = 50. 50x50 = 2500
Answer:
2500
Step-by-step explanation:
Find the slope between these two points:
(9,3),(19,-17)
Answer:
Slope = -2
Step-by-step explanation:
(9, 3), (19, -17)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -17 - 3 -20
m = ------------ = ------------ = -------- = -2
x₂ - x₁ 19 - 9 10
y - y₁ = m(x - x₁)
y - 3 = -2(x - 9)
y - 3 = -2x + 18
+3 +3
-----------------------
y = -2x + 21
I hope this helps!
A line that includes the point (3,10) has a slope of 4. What is its equation in slope intercept form?
The slope intercept form of equation of the line is y = 4x - 2
The slope intercept form of equation of the line that includes the point (3,10) has a slope of 4. is y = 4x - 2
What is equation of a straight line in slope intercept form?This is an equation of the form y = mx + c, where:
the coefficient of x is the slope
c is the intercept
To calculate the equation of the line that include point (3,10) has a slope of 4 we solve as follows
( y - y' ) / ( x - x' ) = 4
( y - y' ) = ( x - x' ) = 4
where y' = 10, and x' = 3
y - 10 = (x - 3 ) * 4
y - 10 = 4x - 12
y = 4x - 12 + 10
y = 4x - 2
The slope intercept form of equation of the line is y = 4x - 2
Read more on equation of line here: brainly.com/question/18831322
#SPJ1
Please help me it is due today!
Answer: B
Step-by-step explanation:
The range of values for F(x) would be on the y - axis, so go up on the y - axis to find the points, and since it is not a line it has no inequality symbols, and how sideways it is doesn't matter, it is only how tall it is that matters because it is on the y - axis.
what is Vivian's new account balance?
Answer: 218.65 US$
Step-by-step explanation: $187.56+$49.73= $237.29
237.29 US$- $18.64
Answer:
$218.65
Step-by-step explanation:
She starts with a balance of $187.56. When she deposits money she is adding to the account.
$187.56 + $49.73 = $237.29
When she spends money money is being subtracted from her account.
$237.29 - $18.64 = $218.65
If g(x) = 4x + 3 and h(x) = 2x + 5, find g(h(x)) and g(h(0)).
(Show your work here)
Pls helppp I’d rly appreciate it!
Answer:
(4x + 3)(2x + 5)
4x(2x + 5) +3(2x + 5)
8x^2 +20x +6x + 15
8x^2 +26x + 15
so, g(h(x))=8x^2 +26x +15
again
(4x + 3)(2x +5).0
0
so, g(h(0))=0
I will give 100 points to anyone who can answer my question.
Answer:
A system of nonlinear equations is a system where at least one of the equations is not linear. Just as with systems of linear equations, a solution of a nonlinear system is an ordered pair that makes both equations true. In a nonlinear system, there may be more than one solution.
Answer:
The answers are (-10, -4) and (0, 1)
Step-by-step explanation:
The solution to a system of equations is the point where both lines intersect. In this case, all you have to do is mark the points of intersection and look at their coordinates.
Hope this helps!
Does anybody know the answer to this question?
The values of x and y after solving the given system of equations are respectively.
According to the question,
We have the following two equations:
y = 2x+3 ....(1)
y = 4x-1 .....(2)
Now, we can put the value of y from equation 1 in equation 2:
2x+3 = 4x-1
Now, we can change sides as it will not affect the result.
4x-1 = 2x+3
Moving 2x from the right hand side to the left hand side will result in the change of sign from plus to minus:
4x-2x-1 = 3
2x-1 = 3
2x = 3+1
2x = 4
x = 4/2
x = 2
Now, we can put the value of x in equation 1 to find the value of y:
y = 2x+3
y = 2*2+3
y = 4+3
y = 7
Hence, the value of x is 2 and the value of y is 7 after solving the equations.
To know more about equations here
https://brainly.com/question/10413253
#SPJ1
Enter a term in the box to make an equation that has infinitely many solutions.
3x+______= 3x+14-6
Answer:
3x+6-14
Step-by-step explanation:
b
2x - 15
3x + 5
Line a || Line b.
Use the diagram to write an equation and solve for x
Answer:
x= −20
Step-by-step explanation:
The solution is x = 38
The equation to measure the value of x is ( 2x - 15 )° + ( 3x + 5 )° = 180° and the value of x = 38 from the two angles
What are angles in parallel lines?
Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.
We can conclude three factors determining parallel lines ,
Alternate angles are equal
Corresponding angles are equal
Co-interior angles add up to 180°
Same side exterior angles are supplementary
Given data ,
Let the first angle be represented as A
Now , the value of A is = ( 2x - 15 )°
Let the second angle be represented as B
Now , the value of B is = ( 3x + 5 )°
The angles A and B are on the same side of the exterior angles
And , lines a and b are parallel
So , When two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the same side of the transversal line are supplementary
Substituting the values in the equation , we get
( 2x - 15 )° + ( 3x + 5 )° = 180°
On simplifying the equation , we get
2x - 15 + 3x + 5 = 180
5x - 10 = 180
Adding 10 on both sides of the equation , we get
5x = 190
Divide by 5 on both sides of the equation , we get
x = 190/5
x = 38
Therefore , the value of x is 38
Hence , the value of x from the equation is 38
To learn more about angles in parallel lines click :
https://brainly.com/question/27400033
#SPJ2
Dilate the figure by the scale factor. Then enter
the new coordinates.
C(-1, 1)
B(1, -2)
A(3, 3)
K=9
A'([?], [])
B'([],[])
C'([],[_])
Answer: b (-1,1)
Step-by-step explanation:
I need help!
Use the given information to select the factors of f(x). f(4)=0 f(-1)=0 f(3/2)=0. Make sure to select all correct answers for full credit.
The given information of the factors f ( x ) helped to get the following correct options:
( x + 1 ) ⇒ f ( -1 )( x - 4 ) ⇒ f ( 4 )( 2x - 3 ) ⇒ f ( 3/2 )What is a function in math?The term function as used n math refers to a relation consisting of variables. the variables are of two major types which include
The dependent variableThe independent variableSubstituting the functions we have:
f (-1 ) = ( 1 - 1 ) = 0
f ( 4 ) = ( 4 - 4 ) = 0
f ( 3/2 ) = (3 * 2/3 - 3 ) = 0
Other options fail to give the desired result of zero.
Learn more about function at: https://brainly.com/question/10439235
#SPJ1
which measure of variability is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean? group of answer choices iqv interquartile range variance standard deviation
Standard deviation is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean.
What is measure of variability?
Measures of variability provide descriptive information about the dispersion of scores within data.
Standard deviation uses all the values in the distribution in it's calculation hence the standard deviation provides the most information.
Therefore standard deviation is used for interval-ratio variables and is the square root of the average of the squared deviations from the mean.
To know more about measure of variability from given link,
https://brainly.com/question/13090757
#SPJ4
the measure of the angle of a triangle are shown in the figure below. solve for x
x°
44°
61°
Answer: x=75°
Step-by-step explanation:
x+44+61=180 ==> three angles in a triangle add up to 180 degrees
x+105=180
x+105-105=180-105
x=75°
Which is another way to represent
five hundred six and ninety-two
thousandths?
Select all that apply.
(5 x 100) + (6 × 1)
+ X
(9 × 10) + (2x 100)
(5 x 100) + (6 × 1)
+(9 × 100) + (2.× 1,000)
506.092
506.902
506.92
Write a conjecture that best describes the pattern in each sequence . Then use your conjecture to find the n next item in the sequence . a 1,4,9,16,... b PERCENT HUMIDITY : 100\% , 93 % , 86\%
patternpatternGreat!
The patteren is 1, 4, 9, 16,...
All these numbers are square numbers, which means
1 * 1 = 1
2 * 2 = 4
3 * 3 = 9
4 * 4 = 16
That means
1st term = 1^2
2nd term = 2^2
3rd term = 3^2
4th term = 4^2
so
nth term = n^2
The conjecture is
[tex]a_n=n^2[/tex]The pattern is 100%, 93%, 86%, ...........
Since 93% - 100% = -7%
Since 86% - 93% = -7%
Then this pattern is decreases by 7%
So it is an arithmetic sequence
Its rule is:
[tex]a_n=a+(n-1)d[/tex]Where a is the first term
d is the constant difference
n is the position of the number
Since a = 100%
Since d = -7%
Let us substitute these values in the rule
[tex]a_n=100+(n-1)(-7)[/tex]Simplify it
an = 100% + (n)(-7%) + (-1)(-7%)
an = 100% + (-7n%) + (7%)
Add the like terms
an = (100% + 7%) - 7n%
an = 107% - 7n%
Let us check the rule
What is the 3rd term
n = 3
a3 = 107% - 7(3)%
a3 = 107% - 21%
a3 = 86% which is true
The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.238 . Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size =500 of young adults ages 20–39 in the United States.
Apply the central limit theorem to find the probability that the number of individuals, , in Lance's sample who regularly skip breakfast is greater than 126 . You may find table of critical values helpful.
Express the result as a decimal precise to three places.
(>126)=
Part 2: Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals in Lance's sample who regularly skip breakfast is less than 98 . Express the result as a decimal precise to three places.
(<98)=
Using the normal approximation to the binomial, it is found that there is a 35.57% probability that the number of individuals in Lance's sample is.
What is Normal Probability Distribution?In a normal distribution with mean and standard deviation, the z-score of a measure X is given by:
z = x - [tex]\mu[/tex]/ [tex]\sigma[/tex]
Normal Probability Distribution measures how many standard deviations the measure is from the mean.
In this problem:
The proportion of young adults ages 20–39 who regularly skip eating breakfast is given as 0.238, hence p = 0.238
A sample of 500 hence n = 500
The mean and the standard deviation are given by:
[tex]\mu[/tex] = 500 ( 0.238) = 119
[tex]\sigma[/tex] = 9.5225
The probability that the number of individuals in Lance's sample who regularly skip breakfast will be greater than 122, using continuity correction, then the p-value of Z when X = 122.5.
z = x - [tex]\mu[/tex]/ [tex]\sigma[/tex]
z = 122.5 - 119/ 9.5225
z = 0.37
Then p-value of 0.6443.
1 - 0.6443 = 0.3557.
0.3557 = 35.57%is the probability that the number of individuals in Lance's sample who regularly skip breakfast is greater than 122.
Learn more about probability here:
brainly.com/question/1210781
#SPJ1
What are the domain and range of the function below?
Answer:
Domain: [0,∞)
Range: (-∞,4]
Step-by-step explanation:
The domain is the numbers along the x-axis, and the range is the numbers along the y-axis. This graph includes a domain from zero to infinity and a range from negative infinity to four. The parentheses () mean that these numbers aren't included, and since infinity isn't an actual number, it gets a parenthesis. The brackets [ ] are used to include a number exactly. Since four and zero are real numbers and are included in this graph they get brackets. We also know that four and zero are included because the dot at point (0,4) is solid and not hollow, which means those numbers are to be included in the domain and the range. Also something to note: you always write the domain and range going from the smallest number to the largest number, this is why the range is written as (-∞, 4] and not [4, -∞).
Cuanto es 25 dividido en 386,4
high school seniors in a small town are asked a series of questions to measure the frequency of their drinking and driving. the students give consistent answers to the series of questions, but police records indicate that drinking and driving is much more common than indicated by the students' responses. this suggests that the measure of frequency of drinking and driving is:
When a study's findings are highly valid, it means that they accurately reflect the genuine features, traits, and variations in the physical or social reality. The measure of frequency of drinking and driving is: reliable but not valid.
What are the measure of frequency of drinking and driving?This option contends that although the survey's measure was not valid, it was dependable. This happens when research is constructed in a consistent but ineffective manner. In this instance, a sample of young people from a small town was taken into account; however, despite its consistency and reliability, it does not accurately reflect the findings of data from police records.
How well a method measures what it is supposed to measure is known as its validity. When a study's findings exists highly valid, it indicates that they accurately reflect the genuine features, traits, and variations in the physical or social reality. High dependability exists one sign of a valid measurement.
To learn more about driving refer to:
https://brainly.com/question/13208171
#SPJ4
Tayon wants to run a total of 16 miles this week. He has already run 5 miles. What percent of his goal has he finished?
Answer: the answer is 31.25%
Step-by-step explanation:
Divide 5 by 16, which is 0.3125. The you take that number and multiply it by 100: 0.3125 * 100= 31.25. So there for the answer is 31.25%
The percent of his goal he has finished is 31.25%.
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
We need to calculate percentage here.
We have been given total distance and we have also been given the distance covered.
We have to find the percentage of his goal covered.
For this, we need his goal which is 16 miles and we know the goal covered by him which is 5 miles.
To find the percentage, we have to divide these both and multiply by 100.
Percentage of goal covered = Goal covered/total goal *100
= 5/16 * 100
= 31.25%
The percent of his goal is 31.25%.
To know more about percentage:
https://brainly.com/question/28084096
The boxplot displays the arm spans for 44 students.
Which of the following is not a true statement?
There are no outliers in this distribution.
The shape of the boxplot is fairly symmetric.
The range of the distribution is around 60 cm.
The center of the distribution is around 180 cm.
Answer:
A) there are no outliers in this distribution.
Answer:
Step-by-step explanation:
Answer there are no outlier
What is 420÷60 hellllllllppp
Answer:7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
420÷60 is the same as 42÷6.
42 goes into 6, 7 times:
6, 12, 18, 24, 30, 36, 42.
Therefore, 420÷6 is 7.
Please use a calculator next time.
Can anyone please answer this question, Ill give points.
Answer:
(0,1) and (-10.-4)
Step-by-step explanation:
To find the solutions, find the points where both the curve and line intersect and read off the coordinates
Answer the A, B or C from the image. I understand it will be challenging… so I will be giving brainliest to whoever answers more than one. And many points to whoever answers even one.
!Any fake answers; ex. Blank answers. Will be reported!
Take as much time as you need, I will be trying to answer them myself in the meantime.
a lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. the target accuracy has an average of 2.78 or less with a standard deviation of 1.17. if the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.45, does this provide enough evidence to reject the claim that the lab technician's accuracy is within the target accuracy?
The proper test statistic has a value of 13.21.
As a result, repeated measurements of cholesterol levels from the same blood sample are taken to assess a lab technician's consistency.
The desired accuracy is a measurement variance of 2.78 or less. In the event that the lab technician conducts 16 measurements, and the sample's measurement variance is 2.45.
1) n=16 samples were used.
The desired accuracy is a measurement variance of 2.78 or less.
The sample's measurements' variance is 2.45 or less.
We list both the null and alternative hypotheses in response to the query.
Null hypothesis [tex]H_{0}[/tex] = [tex]var^{2} \geq[/tex] 2.78
Alternative hypothesis [tex]H_{a}[/tex] = [tex]var^{2} <[/tex] 2.78
We claim the alternative hypothesis.
2)Calculate the appropriate test statistic's value.
Using Chi-square,
X= ((n-1)(2.45)/(2.78)
X= 15(2.45)/(2.78)
X=36.75/2.78
X= 13.21
Therefore, The value of the appropriate test statistic is 13.21
To learn more about hypothesis click here:
https://brainly.com/question/17347077
#SPJ4
2, What method of data collection would you use to collect data for a study where adrug was given to 10 patients and a placebo to another group of 10 patients todetermine if the drug has an effecton a patient's illness?A) take a censusb) use sampling c) use a simulation d) perform an experiment e) none
I would say that using a survey gives you the perfect way to collect the data you need for the drug effect. So,
Draw the preimage and image of the polygon with the vertices X(-1,4), Y (2,2), and Z(0,-1) translated using the vector <2,-37>
Answer:
12
Step-by-step explanation:
in a research report by richard h. weindruch of the ucla medical school, it is suggested that mice with an average life span of 34 months will live longer when 30% of the calories in their food are replaced by vitamins and protein. what hypotheses should we use to test this claim?
A declaration of anticipation or prediction that will be put to the test through study is called a research hypothesis.
How do you calculate hypothesis example?
Different forms of hypothesis testing are used to establish whether or not the null hypothesis can be rejected depending on the type and quantity of the evidence supplied.The following list of significant test statistics includes the formula for testing hypotheses:z = ¯¯¯x−μσ√n x ¯ − μ σ n . We already know that the z-score is 1.645 and the level of significance is 0.05.Let's compare it to the Z-test now.Because 0.744 1.645, the null hypothesis is true.So, the assertion made by the firm that the average lifespan of their batteries is 2.1 years is validated. The null hypothesis is typically represented in statistics by the letter H with the subscript "0" (zero), creating the symbol H0.It is said with the sound "H-null," "H-zero," or "H-nought."The alternative hypothesis also describes the observations that were determined by the non-random cause.H1 or Ha are used to symbolize it.The assertion that will be put to the test is the alternative to the null hypothesis.It is designated as H1 and contains the parameter's value that we believe to be plausible.The test statistic, which is a number calculated from the sample data, is used to determine whether to accept or reject the null hypothesis. An example of a straightforward hypothesis is that daily consumption of sugary beverages causes obesity.An illustration of a null hypothesis is that all lilies have the same number of petals.A person will feel less worn out if they receive 7 hours of sleep as opposed to sleeping fewer.To learn more about hypotheses refer
https://brainly.com/question/25263462
#SPJ4
the probability of observing a window given there is no window at its location is 0.2, and the probability of observing a window given there is a window is 0.9. after incorporating the observation of a window, what are the robot's new probabilities for being in
Updated Probabilities are: P(L1/W) = 0.341 & P(L1/w) = 0.949
Let W be the event that the robot's camera observes a window
It is given that the Probability of observing a window there is no window at its location is given 0.2
P(W/ L1) = 0.2 ( L1 which does not have a window)
Also, probability of observing a window is 0.9
P(W/ L2) = 0.9 ( L2 has window)
Now we have to find updated probabilities for the robot being in L1 i.e:- P(L1/W) & P(L1/w)
w means the camera does not observe a window.
By Bayes Rule,
P(L1/W) = P(L1)P(W/L1)/P(L1)P(W/L1)+P(L2)P(W/L2)
= (0.7x 0.2)/ (0.7x0.2) + (0.3x0.9)
= (0.14)/ 0.14+0.27
≈0.341 (rounded to 3. decimal places)
Thus the probability of being in L1 if the camera observes a window is nearly 0.341.
P(L1/w) = P(L1)P(w/L1)/P(L1)P(w/L1)+P(L2)P(w/L2)
As P(W/L1) = 0.2;
P(w/L1) = 1 - P(w/L1) = 1-0.2 = 0.8
Also P(W/L2) = 0.1;
P(w/L2) = 1 - P(w/L2) = 1-0.9 = 0.1
P(L1/w) = (0.7 X 0.8)/ (0.7X0.8) + (0.3X0.1)
=(0.56)/ (0.56+0.03) = (0.56/ 0.59)
≈ 0.949 (rounded to 3 decimal places).
Thus the probability of being in L1 if observe not the window is nearly 0.949.
Updated Probabilities are: P(L1/W) = 0.341 & P(L1/w) = 0.949
To learn more about Probability click here:
brainly.com/question/11234923
#SPJ4
hemoglobin determinations were made on sixteen animals exposed to ionizing radiation. the following observations were recorded: 15.6, 14.4, 14.8, 13.8, 16.6, 14.0, 17.4, 17.3, 18.6, 16.2, 15.7, 14.7, 16.4, 13.9, 14.8, 17.5. construct a 95 percent confidence interval for population standard deviation?
The required values for a 95 percent confidence interval for population standard deviation are CI₈² = [1.1894, 5.221]
CI₈ = [1.0906, 2.2849]
n = 16, Standard Deviation = 1.4764, Var = 2.1796
X²₀.₀₂₅,₁₅ = 6.26, X²₀.₉₇₅,₁₅ = 27.49
CI₈² = [(15ₓ2.1796/27.48),(15ₓ2.1796/6.26)] = [1.1894, 5.221]
CI₈ = [[tex]\sqrt{15*2.1796/27.48} , \sqrt{15*2.1796/6.26}[/tex]] = [1.0906, 2.2849]
To learn more about Standard Deviation click here:
https://brainly.com/question/12402189
#SPJ4