Answer:
(-1, -3)
Step-by-step explanation:
Of the ordered pairs given in the table, the one with the smallest y-value is (-2, -8). That is not among the answer choices, so you must select the answer choice that has the smallest y-value that is -8 or greater.
(-1, -3) is the closest to the local minimum
Of the ordered pairs given in the table, the one with the smallest y-value is (-2, -8). The smallest y-value that is -8 or greater. (-1, -3) is the closest to the local minimum.
What is mathematical function?In mathematics, a function is a statement, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Y and x are coupled in such a way that there is a distinct value of y for each value of x, and this relationship is frequently represented as y = f(x), or "f of x." In other words, the same x cannot include multiple values for f(x). A function connects an element x with an element f(x) within another set, which utilises the language underlying set theory. Of the ordered pairs given in the table, the one with the smallest y-value is (-2, -8). The smallest y-value that is -8 or greater. (-1, -3) is the closest to the local minimum.
Therefore, (-1, -3) is the closest to the local minimum.
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Silver Lake has a population of 114,000. The population is decreasing at a rate of 1.5% each year. Which of the following choices is the correct function? a p(s) = 114000• 0.985x b p(s) = 114000x c p(s) = 114000x + 0.985 d None of these choices are correct.
Answer: D
Step-by-step explanation:
According to the question, Silver Lake has a population of 114,000. The population is decreasing at a rate of 1.5% each year
The initial population Po = 114000
Rate = 1.5% = 0.015
The declining population formula will be:
P = Po( 1 - R%)x^2
The decay formula
Since the population is decreasing, take away 0.015 from 1
1 - 0.015 = 0.985
Substitutes all the parameters into the formula
P(s) = 114000(0.985)x^2
P(s) = 114000× 0985x^2
The correct answer is written above.
Since option A does not have square of x, we can therefore conclude that the answer is D - non of the choices is correct.
Martin had 24 5 pounds of grapes left. Which expression shows the pounds of grapes Martin has if he doubles his current amount?
Answer:
x=2*2 4/5
Step-by-step explanation:
: Martin had 2 4/5 pounds of grapes left.
So x=2*2 4/5
x=2* 14/5
x=28/5
x=5 3/5
The expression shows the pounds of grapes Martin has if he doubles his current amount of grapes. x=2*2 4/5
50 pts If You Get IT RIGHT!!!
Kellianne lined up the interior angles of the triangle along line p below. Triangle A B C. Angle A, B, and C are on line p. Which statements are true for line p? Check all that apply.
Answer:
angles a and b are lined up
An instructor asks students to rate their anxiety level on a scale of 1 to 100 (1 being low anxiety and 100 being high anxiety) just before the students take their final exam. The responses are shown below. Construct a relative frequency table for the instructor using five classes. Use the minimum value from the data set as the lower class limit for the first row, and use the lowest possible whole-number class width that will allow the table to account for all of the responses. Use integers or decimals for all answers.
48,50,71,58,56,55,53,70,63,74,64,33,34,39,49,60,65,84,54,58
Provide your answer below:
Lower Class Limit Upper Class Limit Relative Frequency
Answer:
The frequency table is shown below.
Step-by-step explanation:
The data set arranged ascending order is:
S = {33 , 34 , 39 , 48 , 49 , 50 , 53 , 54 , 55 , 56 , 58 , 58, 60 , 63 , 64 , 65 , 70 , 71 , 74 , 84}
It is asked to use the minimum value from the data set as the lower class limit for the first row.
So, the lower class limit for the first class interval is 33.
To determine the class width compute the range as follows:
[tex]\text{Range}=\text{Maximum}-\text{Minimum}[/tex]
[tex]=84-33\\=51[/tex]
The number of classes requires is 5.
The class width is:
[tex]\text{Class width}=\frac{Range}{5}=\frac{51}{2}=10.2\approx 10[/tex]
So, the class width is 10.
The classes are:
33 - 42
43 - 52
53 - 62
63 - 72
73 - 82
83 - 92
Compute the frequencies of each class as follows:
Class Interval Values Frequency
33 - 42 33 , 34 , 39 3
43 - 52 48 , 49 , 50 3
53 - 62 53 , 54 , 55 , 56 , 58 , 58, 60 7
63 - 72 63 , 64 , 65 , 70 , 71 5
73 - 82 74 1
83 - 92 84 1
TOTAL 20
Compute the relative frequencies as follows:
Class Interval Frequency Relative Frequency
33 - 42 3 [tex]\frac{3}{20}\times 100\%=15\%[/tex]
43 - 52 3 [tex]\frac{3}{20}\times 100\%=15\%[/tex]
53 - 62 7 [tex]\frac{7}{20}\times 100\%=35\%[/tex]
63 - 72 5 [tex]\frac{5}{20}\times 100\%=25\%[/tex]
73 - 82 1 [tex]\frac{1}{20}\times 100\%=5\%[/tex]
83 - 92 1 [tex]\frac{1}{20}\times 100\%=5\%[/tex]
TOTAL 20 100%
What is the solution to the system of equations? please explain I really need help
Answer:
The solution is the point where the lines intersect.
The answer is (-3 , -8)
find the solutions to 9x^2-54x=0
Answer:
x₁ = 0
x₂ = 6
Step-by-step explanation:
9x² - 54x = 0
9x(x - 6) = 0
x(x - 6) = 0
x = 0
x - 6 = 0 → x = 6
Hope this helps! :)
Answer:
x₁ = 0
x₂ = 6
Step-by-step explanation:
9x² - 54x = 0
9x(x - 6) = 0
9x = 0 => x₁ = 0
x - 6 = 0 => x₂ = 6
Kenneth collected data from a random sample of 800 voters in his city asking whether or not they would vote to reelect the current governor. Based on the results, he reports that 64% of the voters in his state would vote to reelect the current governor. Why is this statistic misleading?
Answer:
the sample is bias
Step-by-step explanation:
Here the surveyor is deliberately pushing an agenda, asking whether they will vote to re-elect the current governor, a more neutral question without promoting any agenda. Ways can be asked, further resolutions can be made using the information gathered for the candidate and the current governor with whom he prefers.so correct answer is the sample is bias
In 2009, a school population was 1,700. By 2017 the population had grown to 2,500. Assume the population is changing linearly. What is the average population growth per year?
Answer:
100
Step-by-step explanation:
The population is changing linearly. This means that the population is increasing by a particular value n every year.
From 2009 to 2017, there are 8 increases and so, the population increases by 8n.
The population increased from 1700 to 2500. Therefore, the population increase is:
2500 - 1700 = 800
This implies that:
8n = 800
=> n = 800/8 = 100
The average population growth per year is 100.
The Science Club has 24 members, 20 girls and 4 boys. What is the ratio of girls to boys in the Science Club?
Answer:
5:1
Step-by-step explanation:
You divide both to find a common multiple which in this case is 5
20:4 ----> (20÷4):(4×5) ----> 5:1
Hope that explains it :)
Jess is cutting bows of ribbon which will be used to wrap gifts. If jess needs 1 7/11 feet of ribbon to make a bow and she has 36 feet of ribbon, then how many bows can jess make?
Answer:
22
Step-by-step explanation:
You need to divide 36 ft by 1 7/11 ft, and then round down if you don't get a whole number.
[tex]\dfrac{36~ft}{1 \frac{7}{11}~ft} =[/tex]
[tex]= \dfrac{36}{\frac{18}{11}}[/tex]
[tex] = \dfrac{36}{1} \times \dfrac{11}{18} [/tex]
[tex] = \dfrac{36 \times 11}{1 \times 18} [/tex]
[tex] = 22 [/tex]
Answer: 22
Determine the slope-intercept form of the equation of the line parallel to y = -4/3 x + 11 that passes through the point (–6, 2). y = x +
Answer: -4/3x - 6
Step-by-step explanation:
First, let's find the slope of the line
y=- -4/3x+11
As the equation is already in slope-intercept form y=mx+c ,
Slope = -4/3
Let a point (x,y) be on the new line.
By finding the slope again,
y−2/x+6= -4/3
y−2= -4/3(x+6)
y−2= -4/3x−8
y = -4/3x - 6
Simplify the expression (5j+5) – (5j+5)
Answer:
0
Step-by-step explanation:
multiply the negative thru the right part of the equation so, 5j+5-5j-5. The 5j and the 5 than cancel out with each other. Hope this helps!
Answer:
0
Explanation:
step 1 - remove the parenthesis from the expression
(5j + 5) - (5j + 5)
5j + 5 - 5j - 5
step 2 - combine like terms
5j + 5 - 5j - 5
5j - 5j + 5 - 5
0 + 0
0
therefore, the simplified form of the given expression is 0.
The amounts (in ounces) of juice in eight randomly selected juice bottles are: 15.8, 15.6, 15.1, 15.2, 15.1, 15.5, 15.9, 15.5. Construct a 97.5% confidence interval for the mean amount of juice in all such bottles. Assume an approximate Normal distribution.
Answer:
The required 97.5% confidence interval is
[tex]\text {CI} = \bar{x} \pm t_{\alpha/2}(\frac{s}{\sqrt{n} } ) \\\\\text {CI} = 15.5 \pm 2.8412\cdot \frac{0.31}{\sqrt{8} } \\\\\text {CI} = 15.5 \pm 2.8412\cdot 0.1096\\\\\text {CI} = 15.5 \pm 0.311\\\\\text {CI} = 15.5 - 0.311, \: 15.5 + 0.311\\\\\text {CI} = (15.19, \: 15.81)\\\\[/tex]
Therefore, we are 97.5% confident that the actual mean amount of juice in all such bottles is within the range of 15.19 to 15.81 ounces
.
Step-by-step explanation:
The amounts (in ounces) of juice in eight randomly selected juice bottles are:
15.8, 15.6, 15.1, 15.2, 15.1, 15.5, 15.9, 15.5
Let us first compute the mean and standard deviation of the given data.
Using Excel,
=AVERAGE(number1, number2,....)
The mean is found to be
[tex]\bar{x} = 15.5[/tex]
=STDEV(number1, number2,....)
The standard deviation is found to be
[tex]s = 0.31[/tex]
The confidence interval for the mean amount of juice in all such bottles is given by
[tex]$ \text {CI} = \bar{x} \pm t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $\\\\[/tex]
Where [tex]\bar{x}[/tex] is the sample mean, n is the samplesize, s is the sample standard deviation and [tex]t_{\alpha/2}[/tex] is the t-score corresponding to a 97.5% confidence level.
The t-score corresponding to a 97.5% confidence level is
Significance level = α = 1 - 0.975 = 0.025/2 = 0.0125
Degree of freedom = n - 1 = 8 - 1 = 7
From the t-table at α = 0.0125 and DoF = 7
t-score = 2.8412
So the required 97.5% confidence interval is
[tex]\text {CI} = \bar{x} \pm t_{\alpha/2}(\frac{s}{\sqrt{n} } ) \\\\\text {CI} = 15.5 \pm 2.8412\cdot \frac{0.31}{\sqrt{8} } \\\\\text {CI} = 15.5 \pm 2.8412\cdot 0.1096\\\\\text {CI} = 15.5 \pm 0.311\\\\\text {CI} = 15.5 - 0.311, \: 15.5 + 0.311\\\\\text {CI} = (15.19, \: 15.81)\\\\[/tex]
Therefore, we are 97.5% confident that the actual mean amount of juice in all such bottles is within the range of 15.19 to 15.81 ounces.
Someone can help me pleaseeee, for tonight with 2 or 3 will be fine
FIND THE LENGTH
Answer:
4)..21 units
5). 15 units
6). 25 units
Step-by-step explanation:
4). Since ΔABC ~ ΔDEF,
Their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{BC}{EF}= \frac{AC}{DF}[/tex]
Since, [tex]\frac{AB}{DE}=\frac{AC}{DF}[/tex]
[tex]\frac{14}{42}=\frac{7}{x}[/tex]
x = [tex]\frac{42\times 7}{14}[/tex]
x = 21 units
5). Since ΔABC ~ ΔDEF,
[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]
[tex]\frac{AB}{DE}=\frac{BC}{EF}[/tex]
[tex]\frac{6}{9}=\frac{10}{x}[/tex]
x = 15 units
6). Since ΔABC ~ ΔDEF,
[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]
[tex]\frac{BC}{EF}=\frac{AC}{DF}[/tex]
[tex]\frac{6}{30}=\frac{5}{x}[/tex]
x = 25 units
John is organizing a local event. He expects the approximate attendance for the event to be modeled by the function a(t) = -16t2 + 48t + 64, where t is time in hours. Assuming the event ends when there are no attendees, plot the domain to represent the duration of the event. line plot
Answer:
the duration of this event is 4 hours
Step-by-step explanation:
This function is a quadratic one
let Δ be the dicriminant :
a = -16b = 48c= 64 Δ = 48²-4*(-16)*64 = 6400so there are two values that satisfy -16t²+48t+64 = 0 x and y
x= (-48+80)/-16*2 = -1y= (-48-80)/-16*2= 4x<0 so w won't take it since time is a positive value here
so t = y = 4h
In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 307 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is greater than 10%. State the test result in terms of the claim. Identify the null and alternative hypotheses for this test The test statistic for this hypothesis test is? The P-value for this hypothesis test is? Identify the conclusion for this hypothesis test. State the test result in terms of the claim.
Answer:
We conclude that the rate of inaccurate orders is greater than 10%.
Step-by-step explanation:
We are given that in a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 307 orders observed.
Let p = population proportion rate of inaccurate orders
So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\leq[/tex] 10% {means that the rate of inaccurate orders is less than or equal to 10%}
Alternate Hypothesis, [tex]H_A[/tex] : p > 10% {means that the rate of inaccurate orders is greater than 10%}
The test statistics that will be used here is One-sample z-test for proportions;
T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of inaccurate orders = [tex]\frac{40}{307}[/tex] = 0.13
n = sample of orders = 307
So, the test statistics = [tex]\frac{0.13-0.10}{\sqrt{\frac{0.10(1-0.10)}{307} } }[/tex]
= 1.75
The value of z-test statistics is 1.75.
Also, the P-value of the test statistics is given by;
P-value = P(Z > 1.75) = 1 - P(Z [tex]\leq[/tex] 1.75)
= 1 - 0.95994 = 0.04006
Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.
Since the value of our test statistics is more than the critical value of z as 1.75 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Therefore, we conclude that the rate of inaccurate orders is greater than 10%.
What is the equation of the line graphed below?
Answer:
C. y = 4x -6
Step-by-step explanation:
The line intercepts the y-axis at -6, consistent with the first three answer choices.
It appears to have an x-intercept of about 1.5 (certainly, less than 2), so between that point and the y-intercept, there is a "rise" of 6 and a "run" of about 1.5.
Then the slope is rise/run = 6/1.5 = 4. This will be the x-coefficient in the slope-intercept form:
y = mx + b
y = 4x -6
which of the following is the probability that a blue marble will be selected from a bag containing 9 red marbles,6 blue marbles,7green marbles, and 11 yellow marbles if one is selected randomly?
Answer:
2/11
Step-by-step explanation:
Total number of marbles: 9 + 6 + 7 + 11 = 33
Number of blue marbles: 6
p(blue marble) = 6/33 = 2/11
Answer:
Probability = 2/11Step-by-step explanation:
[tex]9- red- marbles\\6- blue- marbles\\7-green- marbles\\ 11- yellow \\Probability = \frac{Event}{Total -No -of -Possible -Outcome} \\\\\\P = \frac{6}{9+6+7+11} \\P = \frac{6}{33} \\\\P = \frac{2}{11} \\[/tex]
Which proportion would convert 18 ounces into pounds?
Answer:
16 ounces = 1 pound
Step-by-step explanation:
You would just do 18/16 = 1.125 pounds. There are always 16 ounces in a pound, so it always works like this
2830000000 who can write this number in “Scientific Notation.”
Answer:
[tex]2.83*10^{9}[/tex]
Step-by-step explanation:
{x:x∈z and |x| ≤ 2}
Answer:
x={...-5,-4,-3,-2,-1,0,1,2}
Step-by-step explanation:
Integers are much like of a whole number but they include negative numbers. But doesn't include neither fractions nor decimals.The average number of tunnel construction projects that take place at any one time in a certain state is 3. Find the probability of exactly five tunnel construction projects taking place in this state.
Answer: 0.1008188
Step-by-step explanation:
The question will usng the poisson distribution formula:
Given :
Mean(λ) number of occurrence in a given interval = 3
P(X=x) = Probability of exactly x occurrence in a given interval
Number of desired occurence(x) = 5
P(X=x) = [(λ^x) * (e^-λ)] / x!
Where ; e = base of natural logarithm = 2.7182818
P(X=5) = [(3^5) * (e^-3)] / 5!
P(X=5) = [(243) * (0.0497870)] / 120
P(X=5) = [12.098257] / 120
P(X=5) = 0.1008188
Answer:0.10
Step-by-step explanation:
Will give brainliest amswer
Answer:
A= 12.55363262
Step-by-step explanation:
C=2πr
12.56=2πr
12.56=6.283185307r
12.56 ÷6.283185307 = 6.283185307r ÷6.283185307
1.998986085 = r
A=πr^2
A=π(1.998986085)^2
A= 12.55363262
an arithmetic series has first term 160 and common difference d . the sum of the first 25 terms of the series 3500 . find the common difference d.
Answer:
d = - [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
The sum to n terms of an arithmetic series is
[tex]S_n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 160, n = 25 and [tex]S_{25}[/tex] = 3500 , thus
[tex]\frac{25}{2}[/tex] [ (2 × 160) + 24d ] = 3500, that is
12.5(320 + 24d) = 3500 ( divide both sides by 12.5 )
320 + 24d = 280 ( subtract 320 from both sides )
24d = - 40 ( divide both sides by 24 )
d = - [tex]\frac{40}{24}[/tex] = - [tex]\frac{5}{3}[/tex]
Pleaase help me..........
Answer: 12/25
Steps:
1. Turn 0.48 into 48/100
2. Divide the numerator and denominator of 48/100 by 4, which ends up as 12/25.
0.48 as a fraction is 48/100
We can simplify this fraction.
48÷2/100÷2 → 24/50
24÷2/50÷2 → 12/25
Therefore, the answer is A.
Best of Luck!
Which of the following best describes the algebraic expression 5(x + 2) - 3 ?
bre
Answer:
D
Step-by-step explanation:
2.
On a spinner numbered 1-9, what is the probability of spinning a multiple of 3?
0
1/2
1/3
2/3
Answer:
1/3
Step-by-step explanation:
the multiples of three is three, six, and nine
which is 3/9 bc the total is 9
hope this helps
Plz help! correct answer will get another brainliest!
Answer:
2.2360679774998
mean-7
Step-by-step explanation:
Answer:
The mean is going to be 7 and the standard deviation is 2.5819
Step-by-step explanation:
The mean is every number added together then divided by the number of numbers present.
4+6+8+10= 28
There are 4 numbers so divide 28 by 4 and you get 7.
I hope this helps you.
the ellipse is centered at the origin, has axes of lengths 8 and 4, its major axis is horizontal. how do you write an equation for this ellipse?
Answer:
The equation for this ellipse is [tex]\frac{x^{2}}{64} + \frac{y^{2}}{16} = 1[/tex].
Step-by-step explanation:
The standard equation of the ellipse is described by the following expression:
[tex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} = 1[/tex]
Where [tex]a[/tex] and [tex]b[/tex] are the horizontal and vertical semi-axes, respectively. Given that major semi-axis is horizontal, [tex]a > b[/tex]. Then, the equation for this ellipse is written in this way: (a = 8, b = 4)
[tex]\frac{x^{2}}{64} + \frac{y^{2}}{16} = 1[/tex]
The equation for this ellipse is [tex]\frac{x^{2}}{64} + \frac{y^{2}}{16} = 1[/tex].
The lines shown below are parallel. If the green line has a slope of -1, what is
the slope of the red line?
A. 1
6
0
B. -1
C.-2
5
D. 2
Answer:
-1
Step-by-step explanation:
Parallel lines have the same slope. If the slope of the green line is -1, the slope of the red line is -1
The slope of the red line is -1
What are parallel lines?"These are the lines in the same plane that are at equal distance from each other and never meet."
What is slope of a line?"It is the change in y coordinate with respect to the change in x coordinate."
For given question,
The red line and the green line shown in the figure are parallel lines.
The slope of the green line is -1.
We know that the slope of the parallel lines is equal.
This means the slope of red line would be -1
Therefore, the slope of the red line is -1
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