Answer:
arrange them: -9x^3+2x^3-4x^2+x^2-6x-5x
the simplified is: -7x^3-3x^2-11x
Find the midpoint of the segment with the given endpoints. G(5, –4) and H(11, 0)
\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ G(\stackrel{x_1}{5}~,~\stackrel{y_1}{-4})\qquad H(\stackrel{x_2}{11}~,~\stackrel{y_2}{0}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 11 +5}{2}~~~ ,~~~ \cfrac{ 0 -4}{2} \right) \implies \left(\cfrac{ 16 }{2}~~~ ,~~~ \cfrac{ -4 }{2} \right)\implies (8~~,~~-2)\)
What is the radius of a globe that has a volume of 904.78 in³?
The radius of the globe with a volume of 904.78 in³ is 6 in.
What is the volume of a sphere?The amount of space occupied within a sphere is referred to as its volume. Every point on the surface of the sphere is equally spaced from its centre, making it a three-dimensional round solid figure.
The fixed point and fixed distance are referred to as the sphere's centre and radius, respectively.
Given that the volume of the sphere is 904.78 in³. The radius of the sphere is calculated as,
Volume = ( 4 / 3 )πr³
r³ = ( 3 x volume ) / 4π
r³ = ( 3 x 904.78 ) / 4π
r³ = 2714.34 / 4π
r³ = 216
r = 6 in
Hence, the radius of the globe is 6 in.
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Find the product -5.5(-1/5)?
a. -1.1
b. 2.75
c. 1.1
d. -0.275
Answer:
c. 1.1
Step-by-step explanation:
-5.5(-1/5) = 5.5/5 = 1.1
fraction bears the same ratio to 1/27 as 3/7 does to 5/9.then the fraction is?
The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.
Let's represent the unknown fraction as x. The ratio can be configured as follows:
x / (1/27) = (3/7) / (5/9)
To solve this proportion, we can cross-multiply:
(x * 5/9) = (3/7) * (1/27)
Simplifying the right side:
(x * 5/9) = 3/189
To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:
(x * 5/9) * (9/5) = (3/189) * (9/5)
Simplifying further:
x = 27/35
Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
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Can some one please explain how to do this? 1.253 x 7.4 =
Answer:
9.2722
Step-by-step explanation:
7.400
*1.252
_____
9.2722
Its simple, plz rate 5 str, thx, and brailiest
What is a translation
Answer:
A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.
Step-by-step explanation:
Answer:
A translation is converting another language into English
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write with fractional exponents. (Do not use parentheses.)
Answer:
4\(y^{\frac{3}{2} }\)
Step-by-step explanation:
using the rule of exponents/ radicals
\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)
then
4 \(\sqrt{y^{3} }\)
= 4\(y^{\frac{3}{2} }\)
I need help ya'll please:)
Answer:
Step-by-step explanation:
Please take a clearer picture couldnt read it well
Classify the triangle by side length and angle measure
Answer:
Isoceles Obtuse
Step-by-step explanation:
This triangle has 2 sides with the same side lengths and 2 of the same angles, so it is an isoceles triangle. Is it obtuse or actue? Well, we can see that there is an angle greater than 90 degrees, so this is an obtuse isoceles triangle.
Are these shapes similar?
yes or no
Answer:
I’d say yes.
If you stretched the second shape then I think both shapes would look similar.
why is it important to know whether a number is positive or negative
its good to know if a number is positive or negative because something as simple as forgetting the signs such as - + could drastically change your answer
A recent study reported that 28% of shoppers only review one page when searching online for product information. A random sample of 100 shoppers was randomly selected. What is the probability that between 20 and 30 of these shoppers only review one page when searching online?
Answer:
68.29% probability that between 20 and 30 of these shoppers only review one page when searching online
Step-by-step explanation:
I am going to use the normal approximation to the binomial to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
\(E(X) = np\)
The standard deviation of the binomial distribution is:
\(\sqrt{V(X)} = \sqrt{np(1-p)}\)
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that \(\mu = E(X)\), \(\sigma = \sqrt{V(X)}\).
In this problem, we have that:
\(n = 100, p = 0.28\)
So
\(\mu = E(X) = np = 100*0.28 = 28\)
\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.28*0.72} = 4.49\)
What is the probability that between 20 and 30 of these shoppers only review one page when searching online?
Using continuity correction, this is \(P(20 - 0.5 \leq X \leq 30 + 0.5) = P(19.5 \leq X \leq 30.5)\), which is the pvalue of Z when X = 30.5 subtracted by the pvalue of Z when X = 19.5.
X = 30.5
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{30.5 - 28}{4.49}\)
\(Z = 0.56\)
\(Z = 0.56\) has a pvalue of 0.7123.
X = 19.5
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{19.5 - 28}{4.49}\)
\(Z = -1.89\)
\(Z = -1.89\) has a pvalue of 0.0294
0.7123 - 0.0294 = 0.6829
68.29% probability that between 20 and 30 of these shoppers only review one page when searching online
Please help with this one as well,,,
The whisker plot with the data provided should includes a range that goes from 7 to 49, and a median of 23.
How to draw a whisker plot?A whisker plot, also known as a box plot, is a graphical representation of a data set that shows the distribution of the data along with some important statistical information, such as the median, quartiles, and outliers. It is particularly useful for comparing the distribution of different data sets or for identifying potential outliers in a data set.
To create a whisker plot, follow these steps:
Collect the data you want to represent and arrange it in order from smallest to largest.Find the median, which is the middle value of the data set. If the data set has an even number of values, the median is the average of the two middle values.Find the lower quartile (Q1), which is the median of the lower half of the data set.Find the upper quartile (Q3), which is the median of the upper half of the data set.Calculate the interquartile range (IQR), which is the difference between Q3 and Q1.Learn more about whisker plots in https://brainly.com/question/2742784
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4. The midpoint of VW is M-1, -2). One endpoint is W(4.4). Find the coordinates
of endpoint V.
See
Step-by-step explanation:
The distance formula is used to find the distance between two points in the coordinate plane.
the perimeter of a semicircle protractor is 14.8cm,find it's radius
The radius of the semicircle protractor is approximately 4.693 cm.
Given,Perimeter of a semicircle protractor = 14.8 cm.
To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.
Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.
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please help asap!! im on a time limit geomtry
Answer:
\(B.\ TE\ congruent\ to\ EN\)
Step-by-step explanation:
\(As\ we\ know\ that,\\A\ median\ bisects\ the\ base\ side\ of\ a\ triangle.\\Hence,\\As\ AE\ is\ the\ median\ in\ this\ case,\\it\ bisects\ TN\ into\ congruent\ sides\ TE\ and\ EN.\\Hence,\\TE\ congruent\ to\ EN\\\)
Solve the inequality below. Use the drop-down menus to describe the solution and its graph. 7 13 11 Click the arrows to choose an answer from each menu. The solution to the inequality is Choose.... Choose... A graph of the solution should have Choose.... and be shaded to the
Answer:
\(x \leq -4\)
There will be a filled-in hole at -4.
Step-by-step explanation:
We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)
\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)
The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.
For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.
In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.
A filled-in hole means the number is included in the inequality, while an empty one means it isn't.
In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.
PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
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A study was performed to determine the percentage of people who wear life vests while out on the water. A researcher believed that the percentage was different for those who rode jet skis compared to those who were in boats. Out of 500 randomly selected people who rode a jet ski, 85% wore life vests. Out of 250 randomly selected boaters, 90.4% wore life vests. Using a 0.05 level of significance, test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat. Let jet skiers be Population 1 and let boaters be Population 2. State the null and alternative hypotheses for the test.
Answer:
The null hypothesis is \(H_0: p_1 - p_2 = 0\)
The alternate hypothesis is \(H_a: p_1 - p_2 \neq 0\)
The pvalue of the test is 0.03 < 0.05, which means that we have enough evidence to accept the alternative hypothesis that he proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.
Step-by-step explanation:
Before testing the null hypothesis, we need to understand the Central Limit Theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Out of 500 randomly selected people who rode a jet ski, 85% wore life vests.
This means that \(p_1 = 0.85, s_1 = \sqrt{\frac{0.85*0.15}{500}} = 0.016\)
Out of 250 randomly selected boaters, 90.4% wore life vests.
This means that \(p_2 = 0.904, s_2 = \sqrt{\frac{{0.904*0.096}{250}} = 0.019\)
Test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.
At the null hypothesis, we test that the proportions are the same, that is, the subtraction between them is zero. So
\(H_0: p_1 - p_2 = 0\)
At the alternate hypothesis, we test that the proportions are different, that is, the subtraction between them is different of zero. So
\(H_a: p_1 - p_2 \neq 0\)
The test statistic is:
\(z = \frac{X - \mu}{s}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that \(\mu = 0\)
From the two samples, we have that:
\(X = p_1 - p_2 = 0.85 - 0.904 = -0.054\)
\(s = \sqrt{s_1^2+s_2^2} = \sqrt{0.016^2 + 0.019^2} = 0.0248\)
Test statistic:
\(z = \frac{X - \mu}{s}\)
\(z = \frac{-0.054 - 0}{0.0248}\)
\(z = -2.17\)
Pvalue of the test and decision:
The pvalue of the test is the probability that the difference differs from 0 by at least 0.054, which is P(|Z| > 2.17), which is 2 multiplied by the pvalue of z = -2.17
Looking at the z-table, z = -2.17 has a pvalue of 0.015
2*0.015 = 0.03
The pvalue of the test is 0.03 < 0.05, which means that we have enough evidence to accept the alternative hypothesis that he proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.
How would I write a number subtracted from 2 times a number is 19 as an equation?
Answer:
\(let \: the \: number \: be \:2 x \\ 2x - x = 19 \\ x = 19 \)
This is the answer
if wrong please correct me ! :)
m∠Q =
m∠R =
m∠S =
40 POINTS!!!!!!!
9514 1404 393
Answer:
∠Q = 89°
∠R = 123°
∠S = 91°
Step-by-step explanation:
It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.
arc QRS = 2·∠P = 114°
So, ...
arc QR = arc QRS - arc RS = 114° -41° = 73°
The total of the arcs around the circle is 360°, so ...
arc PQ = 360° -arc PS -arc QRS
arc PQ = 360° -137° -114° = 109°
__
∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)
∠Q = 89°
__
∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)
∠R = 123°
__
∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)
∠S = 91°
In January print edition of the local newspaper at 814 subscribers subscriptions decreased by 5% each of the following months which exponential function models the number of subscribers as a function of the number of months since January
The exponential function models the number of subscribers as a function of the number of months since January is \(B. f(m) = 814(0.95)^m\).
What is the exponential function?
Exponential functions have the form f(x) = bˣ, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base, and x is called the exponent. An example of an exponential function is the growth of bacteria. Some bacteria double every hour.
Since the subscriptions decreased by 5% each month, the remaining subscribers after each month can be modeled by multiplying the previous month's subscribers by 0.95 (which is 100% - 5%). Therefore, the function should have a base of 0.95.
Additionally, the starting number of subscribers in January is 814, which is the initial value of the function. Therefore, the correct function is of the form:
\(f(m) = initial value * (base)^m\)
Substituting the values we know, we get:
\(f(m) = 814 * (0.95)^m\)
Therefore, the option \(B. f(m) = 814(0.95)^m\) is the correct answer.
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Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why?
Pre-Employment Drug Screening Results
Positive test result
Negative test result
Drug Use Is Indicated
Drug Use Is Not Indicated
Subject Uses Drugs
46
8
Subject Is Not a Drug User
1
30
Question content area bottom
Part 1
The probability of a false positive test result is enter your response here.
(Round to three decimal places as needed.)
The probability of a false positive test result is approximately 0.1702 or 17.02%.
The person who will suffer from a false positive are the subjects who aren't drug users.
How to calculate the probabilityFrom the given data, we can see that there are a total of 46 + 1 = 47 positive test results, out of which 8 are false positives (i.e., the subject is not a drug user).
The probability of a false positive test result is:
Probability of false positive = Number of false positives / Total number of positive test results.
Probability of false positive = 8 / 47
Probability of false positive = 0.1702
Therefore, the probability of a false positive test result is approximately 0.1702 or 17.02%.
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Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation (x + 2)2 = 121, x represents the side measure of the cropped photo.
What are the dimensions of the cropped photo?
8 inches by 8 inches
9 inches by 9 inches
12 inches by 12 inches
13 inches by 13 inches
Answer:
x = 9 or B
Step-by-step explanation:
Formula
(x + 2)^2 = 121
Comment
The easiest way to do this is to take the square root immediately, which is usually possible.
Solution
√(x + 2)^2 = √121 Take the square root
x + 2 = 11 Subtract 2 from both sides
x + 2 - 2 = 11 - 2
x = 9
Answer: B) 9 inches by 9 inches
Step-by-step explanation:
Edg 2022
The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
75
1
80
5
85
7
90
3
95
1
100
6
Answer:
its has to be 45.6 becuase when you calculate you get 45.66666667 so its either that or 46
Step-by-step explanation:
add 75+1+80+5+85+7+90+3+95+1+100+6=548
then you divide by the amount of numbers there are which is twelve so
548 divided by 12 is 45
Two paintings have rectangular frames which are similar. One frame is 3 feet wide and 6 feet long. What could be the dimensions of the other frame? A. 6 feet wide and 18 feet long B. 1.5 feet wide and 4.5 feet long C. 2 feet wide and 4 feet long D. 7 feet wide and 10 feet long
Solution:
Similar shapes are enlargements of each other using a scale factor.
Given that the two rectangular frames are similar, where one frame is 3 feet wide and 6 feet long.
This implies that
\(\frac{l_1}{l_2}=\frac{w_1}{w_2}=k\)Thus, we have the dimension of the other frame to be:
\(2\text{ feet wide and 4 feet long}\)The correct option is C
When completing the square on the equation c^2 + 11c = 12, the resulting solution is
Answer:
Attached file is the solutions
Step-by-step explanation:
Write a function f(t), the models the number of foxes in the population at t years after 2012, assuming a continuous growth rate.. f(t)=what is the fox population predicted to be in 2020?
It is given that the growth rate s 4%
The population in 2012 is 20040.
Recall the formula for the growth rate.
\(Percent\text{ rate=}\frac{\frac{\text{present populaiton-past poulation}}{\text{past pulation}}\times100}{\text{ the number of years}}\)\(Percent\text{ rate=}\frac{\frac{f(t)-20040}{20040}\times100}{t}\)Substitute per cent rate =4 %, Present population =f(t) , the number of years and
Past population=20040 as follows:
\(4=\frac{\frac{f(t)-20040}{20040}\times100}{t}\)\(4t=\frac{f(t)-20040}{20040}\times100\)\(\frac{4t}{100}=\frac{f(t)-20040}{20040}\)\(\frac{4t}{100}\times20040=f(t)-20040\)\(0.04t\times20040+20040=f(t)\)\(20040(0.04t+1)=f(t)\)
Hence the number of foxes in the population at t years after 20212 is
\(f\mleft(t\mright)=(0.04t+1)20040\)In the year 2020
The number of years after 2012 is =2020-2012=8
Substitute t=8 in the model f(t), we get
\(f\mleft(8\mright)=(0.04\times8+1)20040\)\(f\mleft(8\mright)=(1.32)20040\)\(f(8)=26452.8\)The number of foxes in the population predicted to be in 2020 is 26452.
The increased availability of light materials with high strength has revolutionized the design and manufacture of golf clubs, particularly drivers. One measure of drivers that result in much longer tee shots is known as the coefficient of restitution of the club. An experiment was performed in which 15 drivers produced by a particular club maker were selected at random and their coefficients of restitution measured. It is of interest to determine if there is evidence to support a claim that the mean coefficient of restitution exceeds 0.82. Assume values to be normally distributed. The following observations were obtained for the 15 drivers:
0.8411 0.8191 0.8182 0.8125 0.8750
0.8580 0.8532 0.8483 0.8272 0.7983
0.8042 0.8730 0.8282 0.8359 0.8660
Conduct the test using a significance level of 0.05.
Answer:
WE reject the Null and conclude that the mean coefficient of restitution exceeds 0.82
Step-by-step explanation:
This is a one sample t test :
The hypothesis :
H0 : μ = 0.82
H0 : μ > 0.82
Given the sample data:
0.8411 0.8191 0.8182 0.8125 0.8750
0.8580 0.8532 0.8483 0.8272 0.7983
0.8042 0.8730 0.8282 0.8359 0.8660
Sample size, n = 15
Sample mean = ΣX / n = 0.837
Sample standard deviation, s = 0.0246 (from calculator)
The test statistic :
T = (xbar - μ) ÷ (s/√(n))
T = (0.837 - 0.82) ÷ (0.0246/√(15))
T = 2.676
The critical value at α = 0.05
df = n - 1 ; 15 - 1 = 14
Tcritical(0.05, 14) = 1.761
Reject H0 if Test statistic > Tcritical
Since, 2.676 > 1.761 ; WE reject the Null and conclude that the mean coefficient of restitution exceeds 0.82
Define associative property
Answer:
the way in which factors are grouped in a multiplication problem does not change the product.
Step-by-step explanation: