Answer:
The length of the third side is approximately 193.14 cm
Step-by-step explanation:
The given dimensions of the sides of triangle ΔVWX are;
X = 160 cm
V = 150 cm
The measure of the included angle, m∠W = 77°
By cosine rule, we have;
w² = v² + x² - 2·v·x·cos(W)
∴ w² = 150² + 160² - 2 × 160 × 150 × cos(77°) ≈ 37,302.35
∴ The length of the third side, w = √37,302.35 ≈ 193.14
The length of the third side, w ≈ 193.14 cm
Can someone please help
Answer:
All real numbers
Step-by-step explanation:
The domain represents the x-coordinates, so you can see on the graph that it goes all the way out to both the left and right directions, meaning it covers all the negative numbers, and all the positive numbers. The question is trying to trick you into thinking about the range, but forget about the y-axis for this one.
Answer:
All real numbers or the second choice
a graph artist created the design for a rectangular poster. the design is 12 inches by 9 inches. The poster is 48 inches by 36 inches. What scale factor did the graph artist use to create the design
Answer:
The ratio of the areas of the design and the poster is
(12*9):(48*36) = 1:16
Nick walked 5 miles to reach his aunt's house. from there he traveled 8 miles to the shopping mall on a bicycle. he traveled 80% faster on the bicycle than on foot. let r represent his rate of walking in miles per hour. identify the expression that represents the number of hours nick took to reach the shopping mall in terms of r. then find the time taken by nick to reach the shopping mall if he walked at an average speed of 3 miles per hour.
The expression of time in terms of r is T = 85/9r. If he walked at an average speed of 3 miles per hour. Then the time taken by nick to reach the shopping mall will be 3 hours and 60 minutes.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Nick walked 5 miles to reach his aunt's house.
From there he traveled 8 miles to the shopping mall on a bicycle.
He traveled 80% faster on the bicycle than on foot.
Let r represent his rate of walking in miles per hour. Then the 1.8r will be the rate of cycling in miles per hour.
Then the number of hours nick took to reach the shopping mall in terms of r will be
T = t₁ + t₂
Where t₁ is the time taken to reach his aunt's house and t₂ is the time taken to reach the shopping mall from his aunt's house. Then we have
T = 5 / r + 8 / 1.8r
T = 1/r (5 + 8/1.8)
T = 85/9r
If r is 3 miles per hour, then the time taken by nick to reach the shopping mall will be
T = 85 / (9 x 3)
T = 3.15 hours
T = 3 hours and 9 minutes
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Amy makes an investment of $12500. The investment loses 9% each year. How much money does Amy have after 4 years?
after 4 years, Amy's investment is worth $8587.80. This represents a loss of $3912.20 (or 31.3% of the initial investment).
If Amy's investment loses 9% of its value each year, then the amount of money she has after 4 years can be calculated as follows:
First, we need to calculate the percentage of the initial investment that remains after one year. Since the investment loses 9% each year, the percentage of the initial investment that remains after one year is:
100% - 9% = 91%
Next, we can calculate the amount of money that remains after one year by multiplying the initial investment by the percentage that remains:
$12500 x 91% = $11375
We can repeat this process for each subsequent year by multiplying the remaining amount from the previous year by 91%:
Year 2: $11375 x 91% = $10362.25
Year 3: $10362.25 x 91% = $9431.36
Year 4: $9431.36 x 91% = $8587.80
Amy looses $8587.80 after 4 years of investment.
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2. Which of the following correlation coefficients are classified as near zero? Select all that apply.
0.13
0.002
-0.67
0.5
-0.22
The correlation coefficients of 0.5 and -0.67 are not near zero, as they indicate a moderate to strong relationship between the variables being studied.
A correlation coefficient near zero means that there is little to no relationship between the two variables being studied.
Based on this definition, the correlation coefficients that can be classified as near zero are 0.13, 0.002, and -0.22. The values of 0.13 and -0.22 are close to zero and therefore indicate a weak correlation between the variables.
The value of 0.002 is very close to zero and suggests almost no correlation between the variables.
The correlation coefficients of 0.5 and -0.67 are not near zero, as they indicate a moderate to strong relationship between the variables being studied.
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A group of 70 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The purpose of this study was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73. The group of 70 students in the study reported an average of 4.45 drinks per with a standard deviation of 3.92 drinks.
Find the p-value for the hypothesis test.
The p-value for the hypothesis test is approximately 0.65.
To find the p-value for the hypothesis test, we need to determine the test statistic and the corresponding probability.
First, we need to state the null and alternative hypotheses:
Null Hypothesis: The mean number of alcoholic drinks for college students at the liberal arts college is equal to the mean number of alcoholic drinks for U.S. college students in general, which is 4.73.
Alternative Hypothesis: The mean number of alcoholic drinks for college students at the liberal arts college is not equal to the mean number of alcoholic drinks for U.S. college students in general.
Next, we need to determine the test statistic, which is calculated as follows:
t = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))
t = (4.45 - 4.73) / (3.92 / sqrt(70))
t = -0.28 / 0.47
t = -0.596
Using a t-distribution table with 69 degrees of freedom (70 - 1), we find the corresponding two-tailed probability to be 0.553.
Therefore, the p-value for the hypothesis test is 0.553. This means that if we assume the null hypothesis is true, there is a 55.3% chance of observing a sample mean of 4.45 drinks per week or more extreme. Since this p-value is greater than the commonly used significance level of 0.05, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the mean number of alcoholic drinks for college students at the liberal arts college differs from the mean number of alcoholic drinks for U.S. college students in general.
To find the p-value for the hypothesis test, we first need to set up the null and alternative hypotheses:
Null hypothesis (H₀): The mean number of alcoholic drinks for college students at this liberal arts college is equal to the national mean (µ = 4.73).
Alternative hypothesis (H₁): The mean number of alcoholic drinks for college students at this liberal arts college is different from the national mean (µ ≠ 4.73).
Next, we'll perform a t-test, since we have a sample mean, standard deviation, and sample size, but not the population standard deviation.
First, calculate the t-statistic:
t = (sample mean - population mean) / (sample standard deviation / √sample size)
t = (4.45 - 4.73) / (3.92 / √70)
t ≈ -0.46
Now, we need to find the degrees of freedom (df) for the t-distribution:
df = sample size - 1
df = 70 - 1 = 69
Using a t-table or t-distribution calculator, we can find the p-value for a two-tailed test (since we're testing for a difference, not specifically greater or lesser) with t ≈ -0.46 and df = 69. The p-value is approximately 0.65.
Your answer: The p-value for the hypothesis test is approximately 0.65.
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-0.25(-1) please answer ASAP
Answer:
0.25
Multiplying two negatives make a positive.
Step-by-step explanation:
Answer:
0.25 would be the
soultion
Using the number lines what is the equivalent fraction for 4/4
Please helppppp!!!!!!!!
Answer: I think it's B
Step-by-step explanation: You can use the answer if you want.
how does a normal probability plot determine if a distribution is normal?
The normal probability plot determines a normal distribution
What is Normal Distribution?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the centre of the range.
Normal distributions are symmetric, uni-modal, and asymptotic, and the mean, median, and mode are all equal
A data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean
Given data ,
Let the normal distribution be represented as N
Now , the normal probability is P
A normal probability plot, also known as a "normal plot," plots sorted data against values chosen to resemble a straight line in the final image if the data are roughly normally distributed.
Divergences from normalcy are shown by deviations from a straight line.
A straight, diagonal line means that you have normally distributed data. If the line is skewed to the left or right, it means that you do not have normally distributed data.
Hence , the normal probability plot determines a normal distribution
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a box has 5 blue and 2 green jelly beans. a bag has 2 blue and 5 green jelly beans. a jelly bean is selected at random from the box and placed in the bag. then a jelly bean is selected at random from the bag. if a green jelly bean is selected from the bag, what is the probability that the transferred jelly bean was green?
Answer:
5/7
Step-by-step explanation:
because it is 5/(2+5)
for a two-tailed test, if 2.36 is in the rejection region and the test statistic is -3.11, and the null hypothesis is true, do we have a correct decision? give an explanation for your answer.
If the test statistic is -3.11, it means that the observed data is 3.11 standard deviations below the mean of the null distribution.
Since 2.36 is in the rejection region, it means that the critical value for the test is greater than 2.36 in absolute value. This implies that the null hypothesis would be rejected if the test statistic is either less than the negative critical value or greater than the positive critical value.
However, since the test statistic of -3.11 is smaller than the negative critical value, we would fail to reject the null hypothesis. This means that we would conclude that there is not enough evidence to support the alternative hypothesis and we accept the null hypothesis. Therefore, we would have made an incorrect decision if we rejected the null hypothesis based on the given information.
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A man is walking a 300 foot long field at the same time his daughter is walking towards him from the appositive end. The man is walking at 9 feet per second and her daughter is moving at 6 per second
The link is in-secure....
A rectangular prism has a volume of 90 cubic feet. The prism has a height of 2 feet and a width of 3 feet. What is the length of the prism? Enter your answer in the box. ft
Answer:
15
Step-by-step explanation:
2x3x15 equals to 90
A certain area can support 124 deer. Initially, there were 2 deer in the area, and the number has been growing at an average rate of 10% per month. Approximately how long will it take for the deer to have a population of 76, assuming logistic growth
Answer:
≈ 38.16 monthsStep-by-step explanation:
Initial number of deer = 2Growth rate is 1.1 times as 100% + 10% = 110% = 1.1Target number is 76.The equation of the growth is:
d(n) = 2*1.1^nSince the target number is 76 we get:
2*1.1^n = 761.1^n = 38log 1.1^n = log 38n = log 38/log 1.1n ≈ 38.16Answer: 46 months
Step-by-step explanation:
what is the resulting volume when an isosceles triangle with side lengths 5,5 10 and is revolved about one of its longer sides?
The resulting volume when an isosceles triangle with side lengths 5, 5 and 10 is revolved about one of its longer sides is approximately 40.11 cubic units.
Let's call the height of the triangle "h" and the radius of the circle created by the revolution "r". We know that the hypotenuse of the triangle (the longer side) is 10, so we can use the Pythagorean theorem to find the value of h:
h = \(\sqrt{(10^2 - (5/2)^2)}\) = \(\sqrt{25 - 6.25}\) = \(\sqrt18.75}\) = 4.33
Now we can use the formula for the volume of a revolution solid to find the volume:
V = (1/3) * π * \(r^2\) * h
r is half the side length of the triangle, so:
r=5/2
V = (1/3) * π * \((5/2)^2\) * 4.33 = (1/3) * π * 6.25 * 4.33 = 20.55 * π = 40.11 (approximately)
So the resulting volume of the revolved isosceles triangle is approximately 40.11 cubic units.
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The area of a circle is 55.44 cm2. Find its circumference.
Answer:
Circle
Solve for circumference
C≈26.39cm
A Area
55.44
cm²
write 3^3 in expanded form and evaluate. can someone help me??
Answer:
27.
Step-by-step explanation:
3^3 = 3 * 3 * 3
= 9 * 3
= 27.
Answer:
IMAO YOU GAVE UP, PSY
Step-by-step explanation:
Which quadratic function shows a y-intercept of 4 and a maximum value of 5
Answer:
The 4th graph
Step-by-step explanation:
To have a maximum value, your parabola would have to open downwards. So the first 2 are wrong. Since your y-intercept is positive 4, your graph would have to touch the y axis at 4. The 3rd graph is wrong since it touches the y-axis at a negative point. The correct answer would be the 4th answer choice.
100 POINTS + BRAINLIEST! PLEASE ANSWER ASAP (answer both or no points)
Answer:
A for the first one and E for the second one.
Step-by-step explanation:
These are the only ones that follow the corospondibg x and y values.
Answer:
this was 3 years ago so guessing you don't need anymore
Step-by-step explanation:
I dont have any points and i need to ask a question
Claire's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y 66+6.5x, where y represents the expected quiz score and a represents hours spent on homework that week. What could the number 6.5 represent in the equation? = A student's expected quiz score if they spent 72.5 hours on their homework. The change in expected quiz score for every additional one hour students spend on their homework. How many hours a student spends studying all year. A student's expected quiz score if they spent no time on their homework. Submit Answer
6.5 represent the change, hence the correct is the change in expected quiz score for every additional one hour students spend on their homework.
What is slope?The slope of a line tell that how much inclination it has, and in equation it tells the rate of change.
Given that, a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y = 66 + 6.5x,
When compared to the standard equation of a line, y = mx+c
where m is slope, we get,
The slope of the relationship is 6.5
Since, the slope tells the rate of change, thus 6.5 is telling the change.
Hence, the correct option is the change in expected quiz score for every additional one hour students spend on their homework.
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a car tire has a radius of 10.4 inches what distance will the tire travel after 20 rotations
Answer:
is A
Step-by-step explanation:
K
Solve the equation.
2[3− (− 3x − 4)] = 36x + 54
The solution set is. (Simplify your an
Answer:
4.33
Step-by-step explanation:
check picture attached for solution
Plz slove if you can!
Can you find x?
Answer:
x=19 degree
2x=2*19
=38 degree
Step-by-step explanation:
Find the mean, median, mode,
and range of each set of data.
Round to the nearest tenth if
necessary.
36,32,34,34,35,38,36,34
Mean:
Median:
Mode:
Range:
Pls comment on here!!
Answer:
Mean: 34.875, Median = 34.5, Mode = 34, Range = 6
11 + x = 7 - 4x what is x
Answer:
x = 6
Step-by-step explanation:
Solve for x
\(11+x=7-4x\)
Add 7 on both sides
\(18+x=4x\)
Subtract x on both sides (same as 1x)
\(18=3x\)
Divide by 3
\(6=x\)
A certain species of fish costs $3.29 each. You can spend at most $25. How many of this type of fish can you buy for your aquarium?
Answer:
7
Step-by-step explanation:
25÷3.29=7.59
you can't buy half a fish and rounding up would go over budget so you buy 7 with a little change left over
Answer:
You can only buy 7.
Step-by-step explanation:
the most you can spend is $25 so you divide 25 by 3.29 which gives us 7.6 but in this case we don't round because you can only spend $25, so you can only buy 7.
Can someone please help me with this?
A: 28 degrees
B: 46 degrees
C: 17 degrees
D: 118 degrees
Answer:
A 28°
Step-by-step explanation:
we see that the sum of angle 1 and 62° must be 90° (right angle).
90 = 62 + angle 1
28° = angle 1
Define a relation J on all integers: For all x, y e all positive integers, xJy if x is a factor of y (in other words, x divides y). a. Is 1 J 2? b. Is 2 J 1? c. Is 3 J 6? d. Is 17 J 51? e. Find another x and y in relation J.
Here is the summary of the relation J on all integers:
a. 1 J 2 : No
b. 2 J 1 : Yes
c. 3 J 6 : Yes
d. 17 J 51 : No
e. Another example of x and y in relation J: 4 J 12 (4 is related to 12 under relation J)
What is the relation J defined on all positive integers, and determine whether the integers are related under J?To define a relation J on all positive integers is following:
a. No, 1 is not a factor of 2, so 1 does not divide 2.
Therefore, 1 is not related to 2 under relation J.
b. Yes, 2 is a factor of 1 (specifically, 2 divides 1 zero times with a remainder of 1), so 2 divides 1.
Therefore, 2 is related to 1 under relation J.
c. Yes, 3 is a factor of 6 (specifically, 3 divides 6 two times with a remainder of 0), so 3 divides 6.
Therefore, 3 is related to 6 under relation J.
d. No, 17 is not a factor of 51, so 17 does not divide 51.
Therefore, 17 is not related to 51 under relation J.
e. Let's choose x = 4 and y = 12.
Then we need to check if x divides y. We can see that 4 is a factor of 12 (specifically, 4 divides 12 three times with a remainder of 0), so 4 divides 12.
Therefore, 4 is related to 12 under relation J.
To summarize:
1 is not related to 2 under relation J2 is related to 1 under relation J3 is related to 6 under relation J17 is not related to 51 under relation J4 is related to 12 under relation JLearn more about positive integers
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if a solution 2(2x-1)=5x^2 is expressed in simplest form a + bi form the value of b is
Answer:
b = 0.4899
Step-by-step explanation:
Given;
2(2x-1)=5x²
4x - 2 = 5x²
5x² - 4x + 2 = 0
this is a quadratic equation with;
a = 5, b = -4 and c = 2
\(x = \frac{-b \ \ + /-\ \ \sqrt{b^2 - \ 4ac} }{2a} \\\\x = \frac{-(-4) \ \ + /-\ \ \sqrt{(-4)^2 - \ 4(5*2)} }{2(5)} \\\\x = \frac{4 \ \ + /-\ \ \sqrt{16 - \ 40} }{10} \\\\x = \frac{4 \ \ + /-\ \ \sqrt{-24} }{10}\\\\x = \frac{4 \ \ +/-\ \ (\sqrt{24)} (\sqrt{-1} ) }{10} \\\\x = \frac{4 \ \ +/-\ \ (\sqrt{24)} (i )}{10}\\\\ x = \frac{4 \ \ +/-\ \ (4.899) (i )}{10}\\\\ x = \frac{4 \ \ +\ \ (4.899) (i )}{10} \ \ or \ \ x = \frac{4 \ \ -\ \ (4.899) (i )}{10}\\\\\)
in terms of a + bi, it will be simplified as;
\(x = \frac{4}{10} + \frac{(4.899) (i)}{10} \\\\x = 0.4 + 0.4899i\)
Therefore, b = 0.4899
When the given expression is expressed in the simplest form of \(a+bi\) then the value of b is 0.4899.
Given-
The given expression in the problem is,
\(2(2x-1)=5x^2\)
Simplify this,
\(4x-2=5x^2\)
Arrange the above equation,
\(5x^2-4x+2=0\)
Compare the above equation with general quadratic equation,
\(ax^2+bx+c=0\)
we get,
\(a=5\)
\(b=-4\)
\(c=2\)
Find the roots of the \(x\) . The formula to find the roots of a quadratic equation can be given as,
\(x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\)
\(x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4\times5\times2} }{2\times 5}\)
\(x=\dfrac{4\pm\sqrt{16-40} }{10}\)
\(x=\dfrac{4\pm\sqrt{-24} }{10}\)
\(x=\dfrac{4\pm\sqrt{-24}\sqrt{-1} }{10}\)
\(x=\dfrac{4\pm 4.899i} {10}\)
Take positive sign we get,
\(x=\dfrac{4+ 4.899i} {10}\)
Take negative sign we get,
\(x=\dfrac{4-4.899i} {10}\)
Compare the simplified form of \(a+bi\) with the root of \(x\)
\(x=0.4+ 0.4899i\)
here,
\(b=0.4899\)
Hence when the given expression is expressed in the simplest form of \(a+bi\) then the value of b is 0.4899.
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