Answer:
The midpoint is (1,2)
Step-by-step explanation:
X1 + Y1/2 , X2+Y2/2
-1+3/2 , 6-2/2
2/2 , 4/2(simplify)
1 , 2
Compare lengths. Write >, <, or = .
5 ft 3 in. and 64 in.
Answer:
<
Step-by-step explanation:
In ΔABC, BD is perpendicular to AC as shown in the figure.
Which equations are true?
Answer:
2nd, 3rd, and 6th option are correct
Step-by-step explanation:
using a²+b²=c² those are the obly that meet the criteria (im pretty sure)
In the given triangle equations AC² = AB² + BC², AB² = AD² + BD² and BC² = CD² + BD² are true.
What is a right angle triangle?
A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.
Given that,
ABC is a right angle triangle.
And BD is perpendicular to AC.
To show the equations which are true,
Use Pythagorean theorem,
(Hypotenuse)² = (base)² + (height)²
In triangle ABC,
AC² = AB² + BC²
In triangle ABD,
(AB)² = AD² + BD²
And in triangle BCD,
BC² = CD² + BD²
Therefore, option (2), (3) and (6) are correct.
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Ryan earns $5 for each small dog he walks and $8 for each large dog he walks. Today he walked 8 dogs and made a total of $49.
How many small dogs did Ryan walk?
Ryan walked
small dogs.
Answer:
He walked 5 small dogs and 3 large dogs.
Step-by-step explanation:
We'll represent the number of small dogs Ryan walked 'x,' and the number of large dogs Ryan walked '8-x.'
49 = 5x + 8(8-x)
x=5
8-5=3
Therefore, Ryan walked 5 small dogs and 3 large dogs.
I hope this helps! ^-^
-1.3f + 0.4j - 12 - 1 + 2.9f
Answer:
1.6f + 0.4j - 13
Step-by-step explanation:
Answer:
1.6f+0.4j-13
Step-by-step explanation:
-1.3f + 0.4j - 12 - 1 + 2.9f
Combine like terms
-1.3f+2.9f +0.4j -12-1
1.6f+0.4j-13
Simplify to a single power of 4:
Answer:
\(4^8\)
Step-by-step explanation:
Formula: \((a^b)^c = a^{bc}\)
Solve:
\((4^2)^4\)\(4^{2*4}\)\(4^8\)-Chetan K
From the given equation, list the values of A, B, and C when put into
standard form. 6y - 2x - 5
Answer:
A = 2, B = 6, C = 5
A = -2, B = 6, C =5
A = 2, B = -6, C = -5
Step-by-step explanation:
samantha used craft wire to make the design shown. she first made the smaller quadrilateral. then she enlarged the smaller quadrilateral to make the larger quadrilateral, using a scale factor that extended the 6-centimeter side by 3 centimeters. what total length of craft wire did samantha use for both quadrilaterals?
The total length of craft wire used by Samantha is 10x + 9
What is the scale factor?
A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Let's call the length of the smaller quadrilateral's 6-centimeter side "x".
Then the length of the corresponding side in the larger quadrilateral would be 6+3=9 centimeters, since the scale factor is 3.
To find the total length of craft wire used, we need to add up the lengths of all the sides in both quadrilaterals.
The smaller quadrilateral has four sides, each with a length of x.
The larger quadrilateral also has four sides, but only one of them has a different length (9 cm), while the other three sides are simply 3 times longer than the corresponding sides in the smaller quadrilateral.
So the total length of craft wire used by Samantha is:
4x + 9 + 3x + 3x + 3x
Simplifying this expression, we get:
10x + 9
Hence, the total length of craft wire used by Samantha is:
10x + 9
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find the probability of the event given the odds. express your answer as a simplified fraction. against
The probability of the event given the odds 3:1 is 3/4 or 0.75, and the probability expressed as a simplified fraction against is 1/4.
To find the probability of the event given the odds and express the answer as a simplified fraction against, we need to first understand what odds are in probability. What are odds in probability? Odds are used in probability to measure the likelihood of an event occurring.
They are defined as the ratio of the probability of the event occurring to the probability of it not occurring. Odds are typically written in the form of a:b or a to b.
What is probability? Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1. An event with a probability of 0 will never occur, while an event with a probability of 1 is certain to occur.
What is the probability of an event given the odds?To find the probability of an event given the odds,
we can use the following formula: Probability of an event = Odds in favor of the event / (Odds in favor of the event + Odds against the event)
For example, if the odds in favor of an event are 3:1, this means that the probability of the event occurring is 3 / (3 + 1) = 3/4.
To express this probability as a simplified fraction against, we can subtract it from 1.1 - 3/4 = 1/4
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Determine P(c) using the remainder theorem.. (look at image)
Answer:
P(-5) = 109
Step-by-step explanation:
Remainder theorem:If the polynomial p(x) is divided by the linear polynomial (x-a), the remainder is p(a).
Dividend = divisor * quotient + remainder.
p(x) = (x-a) * q(x) + p(a)
Here, q(x) is the quotient and p(a) is the remainder.
P(x) = 4x² - x + 4
P(-5) = 4*(-5)² - 1*(-5) + 4
= 4*25 + 5 + 4
= 100 + 5 + 4
= 109
a survey asked 1000 adults about their employment status and whether they owned stocks. the table to the right gives the counts of the respondents. complete parts a through e below.
Given table shows the counts of respondents of a survey that asked 1000 adults about their employment status and whether they owned stocks:
Employment Status Owning Stocks Not Owning Stocks Employed 400 300
Unemployed 50 250 Retired 150 100We have to complete the following parts:
a) How many of the respondents are unemployed or do not own any stocks?
b) If a respondent is chosen at random, what is the probability that the respondent owns stocks?
c) If a respondent is chosen at random, what is the probability that the respondent is retired and does not own stocks?d) If a respondent is chosen at random, what is the probability that the respondent is employed or retired?
e) If a respondent is chosen at random, what is the probability that the respondent is employed, given that the respondent does not own stocks?
Solution:
a) The total number of respondents who are unemployed or do not own any stocks is 50 + 250 + 100 = 400.
b) Probability that a respondent owns stocks = Number of respondents owning stocks / Total number of respondents= (400 + 50 + 150) / 1000= 0.6
c) Probability that a respondent is retired and does not own stocks= Number of retired respondents not owning stocks / Total number of respondents= 100 / 1000= 0.1
d) Probability that a respondent is employed or retired= (Number of employed respondents / Total number of respondents) + (Number of retired respondents / Total number of respondents)= (400 / 1000) + (150 / 1000)= 0.55
e) Probability that a respondent is employed, given that the respondent does not own stocks= (Number of employed respondents not owning stocks / Total number of respondents not owning stocks)= 300 / 350= 0.86
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Elias has a collection of 1,200 baseball trading cards. Of these cards, 35% are from the American League, 45% are from the National League, the rest are international players. How many trading cards are international players?
The number of trading cards of international players that Elias has will be 240.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
Elias has an assortment of 1,200 baseball exchanging cards. Of these cards, 35% are from the American Association, 45% are from the Public Association, and the rest are worldwide players.
Let n be the number of trading cards of international players. Then the equation is given as,
n + 1200 x 0.45 + 1200 x 0.35 = 1200
Simplify the equation, then we have
n + 540 + 420 = 1200
n + 960 = 1200
n = 1200 - 960
n = 240
The number of trading cards of international players that Elias has will be 240.
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please help :) Which expression is equal to 18−15÷3 ? A. 18 - 5 B. 3 divided by 3 C. 18 - 12
Answer:
A)
Step-by-step explanation:
18 - 15÷ 3 = 18 - 5
Answer:
A!
Step-by-step explanation:
This one is easy peasy using PEMDAS.
1)18-15dividedby3
2)18-(15divided by 3)
3) 18-5
TA DA
There are 150 calories in a cup of whole milk and only 78 in a cup of skim milk. In switching to skim milk, find the percent of decrease in number of calories per cup The percent of decrease is ?
Answer:
48%
Explanation:
The percent of the decrease can be calculated as:
\(\text{ \% decrease = }\frac{\text{ Initial value - Final value}}{Initial\text{ value}}\times100\)So, replacing the initial value with 150 calories and the final value by 78 calories, we get:
\(\text{ \% decrease = }\frac{150-78}{150}\times100=48\text{ \%}\)Therefore, the percent of decrease is 48%
RIGHT ANSWER GETS BRAINLIST 100 POINTS
Kasha has a spinner divided into 8 equal sections that are labeled 1 though 8. She wants to compare the theoretical probability and the experimental probability of spinning an odd number. She spins the spinner 10 times and records the results in this list.
{2, 4, 1, 8, 7, 5, 3, 4, 1, 5}
Drag and drop the answers into the boxes to correctly complete the sentences.
The theoretical probability of spinning an odd number is equal to Response area. The experimental probability of spinning an odd number is equal to Response area. Therefore, the theoretical probability of spinning an odd number is Response area the experimental probability of spinning an odd number.
Theoretical probability of getting odd no
P(E)=|E|/|S|P(E)=4/8=1/2Now
Experimental probability
|E|=6|S|=10P(E)=6/10=3/5
So
Compare both
3/5=6/101/2=5/10Experimental probability is greater than. theoretical probability
Answer:
Part (a) = 0.5, Part (b) = 0.6, Part (c) = less than
Step-by-step explanation:
Step 1: Determine the theoretical probability
The theoretical probability is found by taking the amount of times our wanted solution is in the options out of the total options. In this case, we have a spinner with labels of 1-8 so the odd numbers would be {1, 3, 5, 7}. The total possibilities is 8 so that means we do 4/8. This gives us 0.5 or 50% probability.
Step 2: Determine the experimental probability
The theoretical probability is found by taking the amount of times we get our wanted solution out of the total times we spun. In this case, we spun 10 times and we got the following odd numbers, {1, 7, 5, 3, 1, 5}. So we take the number of times that we got an odd number and divide it by the total times we spun. So we do 6/10 which gives us 0.6 or 60% probability.
Step 3: Determine which is greater
Therefore, the theoretical probability (0.5) of spinning an odd number is less than the experimental probability (0.6) of spinning an odd number.
Answer: Part (a) = 0.5, Part (b) = 0.6, Part (c) = less than
5 stars if correct!! HELP FAST PLEASE!!!
Answer:
1 banana = 0.25
Step-by-step explanation:
Find the proportion. Simply divide the cost from the amount of bananas given:
0.50/2 = 0.25
1.00/4 = 0.25
1.50/6 = 0.25
$0.25 is the cost per banana, and is your proportion.
~
Answer:
1 banana = + $0.25
2 bananas = + $0.50
Step-by-step explanation:
If it is increasing %0.50 for every 2 bananas then that also means it's increasing $0.25 for every 1 banana.
A sampling distribution is normal only if the population is normal. Question content area bottom Part 1 Choose the correct answer below. A. The statement is true. B. The statement is false. A sampling distribution is never normal. C. The statement is false. A sampling distribution is normal if either n30 or the population is normal. D. The statement is false. A sampling distribution is normal only if n30.
The statement "A sampling distribution is normal if either n≥30 or the population is normal" is true.
Hence option C is correct.
It is ideal for the population to be normal, a larger sample size (n≥30) can also result in a normal sampling distribution due to the Central Limit Theorem.
Therefore, a normal sampling distribution is not never possible as stated in option B, and it's not solely dependent on the population being normal as stated in option A.
Option D, stating that a normal sampling distribution is only possible if n≥30 is also not entirely true, as a normal population can still result in a normal sampling distribution for smaller sample sizes.
Hence the correct statement is,
"A sampling distribution is normal if either n≥30 or the population is normal".
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-
What is the product?
(-3s +2)(4s-1)
Answer: -12s + -2
Step-by-step explanation: You need to combine the like terms so -3sx4s = -12s and 2+-1 = -2 so it’s -12s + -2 or -12s - 2
Answer:
-12s²+11s-2
Step-by-step explanation:
(-3s+2)(4s-1)
First you have to FOIL (First, inner, outter, last)
First: -3s × 4s
Inner: -3s × -1
Outter: 2 × 4s
Last: 2 × -1
Now you should have -12s² + 3s + 8s -2
----------------------
Next you combine your like terms
Finally you have your answer, -12s²+11s-2 .
If researchers report that the results from their study were significant, p< .05, this means that:
A.) If they conducted the study over they would get the same results less than 5 times in 100.
B.) The results are untrustworthy
C.) We would expect the results to occur by chance less than 95 times out of 100
D.) We would expect the results to occur by chance less than 5 times out of 100.
If researchers report that the results from their study were significant, p < .05, this means that we would expect the results to occur by chance less than 5 times out of 100.
What does it indicate when researchers report results with p < .05?When researchers report that the results from their study were significant, p < .05, it means that we would expect the results to occur by chance less than 5 times out of 100. This threshold is commonly used in statistical hypothesis testing.
In statistical hypothesis testing, the p-value represents the probability of obtaining results as extreme as the observed results, assuming that the null hypothesis is true. If the p-value is less than the predetermined significance level of .05 (or 5%), it is considered statistically significant. This means that the observed results are unlikely to have occurred by chance alone, and there is evidence to support the alternative hypothesis.
Therefore, option D, "We would expect the results to occur by chance less than 5 times out of 100," is the correct interpretation of reporting significant results with p < .05.
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points a (3, 3) and b (3, 6) are two vertices of rectangle abcd. the rectangle is dilated by a scale factor of 1/3. what are the coordinates of a'?
The coordinates of a' after scaling factor of 1/3 is a'(1,1).
Given:
points a (3, 3) and b (3, 6) are two vertices of rectangle abcd. the rectangle is dilated by a scale factor of 1/3.
Rectangle:
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel.
Scale factor :
A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
scale factor = 1/3
= (3*1/3 , 3*1/3)
= (3/3 , 3/3)
= (1,3/3)
= (1,3)
Therefore the coordinates of a'(1,1).
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Let f(x) = (7 + 5x)3 = f(x) has one critical value at A = For x < A, f(x) is Select an answer For x > A, f(a) is Select an answer
We can conclude that for x < -7/5, f(x) is increasing, and for x > -7/5,
f(x) is decreasing.
First, we need to find the critical value of the function f(x), which is where
its derivative equals zero or does not exist.
To find the derivative of f(x), we can use the power rule and the chain
rule:
f'(x) = 3(7 + 5x)2 × 5 = 15(7 + 5x)2
Setting this equal to zero and solving for x, we get:
15(7 + 5x)2 = 0
7 + 5x = 0
x = -7/5
So the critical value of f(x) is x = -7/5.
To determine the behavior of f(x) around this critical value, we can use
the first derivative test.
For x < -7/5, f'(x) < 0, which means that f(x) is decreasing.
For x > -7/5, f'(x) > 0, which means that f(x) is increasing.
Therefore, the critical value at x = -7/5 is a local minimum.
For x < -7/5, f(x) is decreasing from positive values to the local minimum
at (-7/5, f(-7/5)).
For x > -7/5, f(x) is increasing from the local minimum at (-7/5, f(-7/5)) to
positive values.
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Miguel e nádia trabalham num escritório de contabilidade. A cada 45 minutos miguel vai á sala de café para relaxar um pouco, enquanto nádia faz o mesmo a cada 60 minutos. Se eles acabarem de se encontrar na sala de café, daqui a quantas horas vão se rever nesse mesmo lugar?
Responder:
3 horas
Explicação passo a passo:
Dado :
Miguel a cada 45 minutos
Nádia a cada 60 minutos
Número de horas que eles vão se ver no mesmo lugar:
Para fazer isso ;
Obtenha o menor múltiplo comum de 60 e 45
Múltiplos de:
45: 45, 90, 135, 180, 225.
60: 60, 120, 180, 240, 300.
O menor múltiplo comum de 45 e 60 é 180
° Assim, eles se verão no mesmo lugar após 180 minutos;
Número de horas = 180/60 = 3 horas
How many syllables are in the word "perfect"?
A) 1
B) 2
C) 0
D) 3
Answer:2
Step-by-step explanation:
a set of x and y scores has b = 4, mx = 12, and my = 51. what is the y-intercept (a) for the regression equation?
The y-intercept for the regression equation is 3, given that b = 4, Mx = 12, and My = 51. So, the correct option is C).
The formula for the y-intercept of the regression equation is
a = My - b(Mx)
where My is the mean of the dependent variable (y), b is the slope, and Mx is the mean of the independent variable (x).
Given that b = 4, Mx = 12, and My = 51, we can substitute these values in the formula to find the y-intercept
a = 51 - 4(12)
a = 51 - 48
a = 3
Therefore, the y-intercept (a) for the regression equation is 3.
The correct Answer is C) 3.
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--The given question is incomplete, the complete question is given
" A set of X and Y scores has b = 4, Mx = 12, and My = 51. What is the y-intercept (a) for the regression equation? O 9.75 17.36 3.00 8.25 "--
which point most closely approximates the product of A and b ?
Given data:
Suppose A is -1.1, and B is -0.9, the product of A and B is,
\(\begin{gathered} A\times B=(-1.1)\times(-0.9) \\ =0.99 \\ \approx1 \end{gathered}\)Thus, the product of A and B is more close to E, so option (E) is correct.
True/False based on the t-test assuming equal variances on the t-testequal worksheet, it is reasonable to assume that the variances are equal?
Based on the t-test assuming equal variances a. Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal."
It is vital to establish whether or not the variances of the two groups being compared are indeed identical before performing a t-test under the assumption of equal variances. This is significant since the t-calculation statistic depends on the assumption that variances are equal.
One can look at the ratio of the variances between the two groups to evaluate the assumption of equal variances. Typically, it is acceptable to infer that the variances are not equal if the ratio of the variances is more than two or lower than half. One can presume that the variances are equal in the absence of such proof. Since the variances are not equal, it is not logical to infer that they are.
Complete and correct Question:
Based on the t-test assuming equal variances on the T-Test Equal worksheet, is it reasonable to assume that the variances are equal?
a. Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal.
b. Whether the variances are equal or not is not relevant for this situation.
c. Examining the ratio of the variances, it is reasonable to conclude that the variances are equal.
d. It is impossible to determine if the variances are equal given the data we have.
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Solve (round to two decimal places)
can someone please help me!
2- x+2/x-3 - x-6/x+3
A=
B=
It can be written in the form is like ax+b/x^2-9
so we only need the A and B.
Please reply to this ASAP
Step-by-step explanation:
so, if I understand your text correctly, we need to bring
2 - (x+2)/(x-3) - (x-6)/(x+3)
into a form
(ax + b)/(x² - 9)
what we notice immediately is
(x+3)(x-3) = x² - 9
that makes sense, as we want to transform all terms into fractions with the same denominator.
and the necessary "criss-cross" multiplication leads to (x² -9) as denominator.
so, let's transform every term to a fraction with that denominator, and then we add or subtract them all up as per the original expression.
2 :
multiply by (x²-9)/(x²-9)
2(x²-9)/(x²-9) = (2x²-18)/(x²-9)
(x+2)/(x-3) :
multiply by (x+3)/(x+3)
(x+2)(x+3)/(x²-9) = (x²+3x+2x+6)/(x²-9) =
= (x²+5x+6)/(x²-9)
(x-6)/(x+3) :
multiply by (x-3)/(x-3)
(x-6)(x-3)/(x²-9) = (x²-3x-6x+18)/(x²-9) =
= (x²-9x+18)/(x²-9)
for the whole expression we get then
(2x²-18)/(x²-9) - (x²+5x+6)/(x²-9) - (x²-9x+18)/(x²-9) =
= (2x²-x²-x² -5x+9x -18-6-18)/(x²-9) =
= ( 0 + 4x - 42 )/(x²-9)
a = 4
b = -42
In the box plot above, where is most of the data clustered?
A.
75 - 78
B.
73 - 75
C.
78 - 80
D.
70 - 73
In the box plot, most of the data is clustered around 75 - 78 (option A).
Where is most of the data clustered?A box plot is used to study the distribution and level of a set of numbers. The box plot has two whiskers and a box. The two whiskers represent the minimum value and the maximum value.
The first line on the box is the lower quartile. The next line on the box represents the median. The third line on the box represents the upper quartile. Majority of the data would lie between the first quartile and the third quartile.
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Every linear function with a nonzero slope will have a(n) _____ function.
Every linear function with a nonzero slope will have an inverse function. A linear function represents a straight line on a graph, and it has the form y = mx + b, where m is the slope and b is the y-intercept.
For a linear function to have an inverse function, it must meet certain criteria. The most important requirement is that the slope (m) must be nonzero. If the slope is zero, the function will not have an inverse because it will fail the horizontal line test. In other words, the function will not pass the vertical line test, and multiple x-values will map to the same y-value, making it impossible to find a unique inverse function.
However, if the slope is nonzero, the function will pass the horizontal line test, and each x-value will correspond to a unique y-value. Therefore, a linear function with a nonzero slope will have an inverse function, allowing us to reverse the mapping and find the original x-value from a given y-value.
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sara can type 90 words in 8 minutes at this rate how many words should she have typed in 28 minutes
Answer:
315
Step-by-step explanation:
i divided 90 by 9 to know how much she can type in one minute and timed it by 28 to know how much she can type in 28 minutes 90÷8×28 = 315