Answer:
Step-by-step explanation:
Find the average of the following numbers: 55.1, 67.9, 59.2, 64.1, 61.8, 62.7. Round
your answer to one decimal place *
Your answer
Answer:
61.8
Step-by-step explanation:
\( \frac{55.1 + 67.9 + 59.2 + 64.1 + 61.8 + 62.7}{6} \)
Please help me solve this please and how step by step
Answer:
Step-by-step explanation:
\(\text{The area of a circle is}\\ \\ A=\frac{\pi d^2}{4}\\ \\ d=20ft\\ \\ A=\frac{\pi (20^2)}{4}\\ \\ A=\frac{400\pi}{4}\\ \\ A=100\pi ft^2\)
S vi) The temperature in Gulmerg in Kashmir was-10°C in January and it rose by 44°c to reach the maximum temperature during summer. The maximum temperature during summer in that year was
The maximum temperature during summer in that year was 34°C.
It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.
A temperature rise of that magnitude would be extremely unusual and potentially dangerous.
However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.
The minimum temperature in January was -10°C, and if we add 44°C to it, we get:
-10°C + 44°C = 34°C
Therefore, the maximum temperature during summer in that year was 34°C.
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is 4-(-10)=14 a true statement
Answer:
Yes, it is a true statement
Step-by-step explanation:
Since two negatives cancel out the equation would be
4 + 10 and that equals 14.
So the statement is true!
Evaluate the algebraic expression for
the given values of x=
3 and y = 4.
7x - 2y - 1 = ?
Will give brainlest answer!!
Answer: 12
Step-by-step explanation:
7(3)-2(4)-1=12
Carlos has $690,000 he wants to save. If the FDIC insurance limit per
depositor, per bank, is $250,000, which of these ways of distributing his
money between three banks will guarantee that all of his money is insured?
A. $230,000 in bank A, $240,000 in bank B, $220,000 in bank C
B. $200,000 in bank A, $220,000 in bank B, $270,000 in bank C
C. $230,000 in bank A, $260,000 in bank B, $200,000 in bank C
D. $200,000 in bank A, $200,000 in bank B, $290,000 in bank C
What is the solution to this equation?
Step-by-step explanation:
(1/8 - X) = -1/8
or, (1/8+1/8) = X
or, X=1/4
it's the final answer you can check it if you want
HURRRRRRYYYYYYYYYYYYYYYYYYYYYYYY Drag numbers to show which are closest to ‐1
and ‐1/4
on the number line.
The number that is closest to -1 is -0.82 while the number that is closest to -1/4 is -0.28.
What are the closest numbers?In order to obtain the numbers that are close to a given number, we need to place the numbers side by side for a better understanding. For instance, the number 3 is closer to number 1 while the number 9 is closer to number 10.
Given the number line above, we can arrive at the conclusion that -0.82 is closer to -1 because by approximating the decimal, we will arrive at figure 1. Also, the number, -0.28 is closer to -1/4 or - 0.25 when converted to decimal.
Options;
A. -0.28
B. -0.82
C. -4/5
D. -1/5
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Please help me on this.
the measure of the value a is 24°
What is are of triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.
The sum of all angles of triangle = 180
Here given 3 angles are 2a, 3a and a+36°
So the sum of all the angles should be 180°
⇒2a+ 3a +a+36° = 180
⇒6a = 180-36
⇒a = 144/6= 24
Hence the measure of the value a is 24°
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Write the equation of the parabola in vertex form
vertex (1.1), point (3, - 7)
Answer:
345963128
Step-by-step explanation:
very there is very nice namiuf
I have an old alarm clock, on which the hands move at only 95% of the speed that they should do.
I need it to wake me up at 7.30 am, so every night, at 10.30pm, I change the time shown on the
clock so that it will show the correct time at 7.30 am when the alarm goes off.
(a) What time does the clock show at 10.30 pm, immediately before I change it?
(b) What time do I change it to?
Please help immediately!!!
9514 1404 393
Answer:
a) 9:45 pm
b) 10:57 pm
Step-by-step explanation:
In the 15 hours between 7:30 am and 10:30 pm, the clock hands will have moved 15×0.95 = 14.25 hours = 14 hours and 15 minutes.
At 10:30 pm, the clock indicates 9:45 pm.
__
b) In the 9 hours between 10:30 pm and 7:30 am, the clock will have moved 9×0.95 = 8.55 hours, or 8 hours 33 minutes. That is, the clock needs to be set 27 minutes ahead of the actual time.
The clock need to be set to 10:57 pm.
_____
Alternate solution
At 95% speed, the clock loses 5%×60 minutes = 3 minutes each hour. In the 15 hours from morning to night, the clock will be 45 minutes slow. It will indicate 9:45 at 10:30 pm.
In the 9 hours from night to morning, the clock will lose 27 minutes so needs to be set 27 minutes fast. It should be set to 10:57 pm at 10:30 pm.
Suppose if, instead of depositing the $600 all at once, you deposit nothing at the beginning and you divide up the $600 into 12 envelopes each with $50. Find the balance after one year if you deposit one $50 envelope each month, all year, into an account that pays 5% APR with monthly compounding.
The balance after one year if you deposit one $50 envelope each month, all year is $613.95.
What is the balance after one year?The balance after 1 year can be determined using this formula:
Amount deposited monthly x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 5% /12 = 0.417%n = number of years = 1 x 12 = 12Annuity factor = 1.004167^12 - 1 / 0.00417 = 12.279082
Balance = 12.279082 x 50 = $613.95
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Find the sine, cosine, and tangent of angle A. Give your answer as a fraction in simplest form
I need help
Answer:
3/5, 4/5, 3/4
Step-by-step explanation:
First BC is 12 because of the Pythagorean Theorem. I use sohcahtoa to remember. sine is the side opposite of the angle divided by the hypotenuse of the triangle so 12/20 which is 3/5. cosine is adjacent / hypotenuse so 16/20 which is 4/5, and lastly tangent is opposite / adjacent which is 12/16 which is 3/4
The sine, cosine and the tangent of angle should be \(3\div 5, 4\div 5, 3\div 4\).
Calculation of the sine, cosine, and tangent:Here first we determine the BC by applying the Pythagorean Theorem.
\(= 20^2 - 16^2\\\\= 400 - 256\\\\= 144\)
So the BC should be 12
hence, based on this, we can say that The sine, cosine and the tangent of angle should be \(3\div 5, 4\div 5, 3\div 4\).
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Find the sine and cosine of the given angle
120°
Answer:
By using the value of cosine function relations, we can easily find the value of sin 120 degrees. Using the trigonometry formula, sin (90 + a) = cos a, we can find the sin 120 value. We know that the value of cos 30 degrees is √3/2. Therefore, sin 120° = √3/2
Step-by-step explanation:
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What is the smallest positive integer n such that n! ends in at least 2019 zeros?
Answer:
I think there's 502
Step-by-step explanation:
if this is a olunomical question that should be it I believe, because you have to write in standered form then when it equals zero, then factor it
Bryan invests $6500 in two different accounts. The first account paid 11 %, the second account paid 7 % in interest. At the end of the first year he had earned $519 in interest. How much was in each account?
$ at 11 %
$ at 7 %
Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.
The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).
According to the problem, the total interest earned after one year is $519. So we can set up the equation:
0.11x + 0.07(6500 - x) = 519
Simplifying the equation:
0.11x + 455 - 0.07x = 519
0.04x + 455 = 519
0.04x = 64
x = 64 / 0.04
x = 1600
Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
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What are the requirements for an experiment to be able to show that changes in one variable cause changes in another?
Answer:
A variable is anything that can change or be changed. In other words, it is any factor that can be manipulated, controlled for, or measured in an experiment.
There are three main variables: independent variable, dependent variable and controlled variables.
A relationship between two variables whereby a change in one coincides with a change in the other is referred to as causality.
Step-by-step explanation:
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In 1965, about 44% of the U.S. adult population had never smoked cigarettes. A national health survey of 1472 U.S. adults (presumably selected randomly) during 2010 revealed that 677 had never smoked cigarettes.Suppose you wished to test whether there has been a change since 1965 in the proportion of U.S. adults that have never smoked cigarettes. You suspect that the proportion has grown since 1965. Which of the following are the appropriate hypotheses?A. H0: p = 0.44, Ha: p > 0.44B. H0: p = 0.51, Ha: p In 1965, about 44% of the U.S. adult population ha 0.51C. H0: p = 0.44, Ha: p In 1965, about 44% of the U.S. adult population ha 0.44D. H0: In 1965, about 44% of the U.S. adult population ha = 0.44, Ha: In 1965, about 44% of the U.S. adult population haIn 1965, about 44% of the U.S. adult population ha 0.44
Answer:
H0: p = 0.44, Ha: p ≠ 0.44
Step-by-step explanation:
The following information is mentioned
44% of the US adult population would never smoked cigarettes so that means the proportion would be
= 44 ÷ 100
= 0.44
Now we have to check the test whether this change represent increase or decrease
So the hypothesis is
\(H_o: P=0.44\)
\(H_1: P \neq 0.44\)
The two tailed means
\(P < 0.44 \, \, or \, \, P> 0.44 )\)
11 over 7=6 over v what is v
Answer:
42/11
Step-by-step explanation:
11/7 = 6/v
cross multiply:
11v = 6x7 = 42.
v = 42/11 ≈ 3.81
A random sample of 60 was taken from a shipment of 12,500 light bulbs. There were 2 defective bulbs in the sample. How many defective bulbs would you expect in the entire shipment?
250
417
2,500
4,167
Answer:
417
Step-by-step explanation:
trust me
The defective bulbs in the entire shipment can be 417.
What is proportionality?Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
Given that, a random sample of 60 was taken from a shipment of 12,500 light bulbs, there were 2 defective bulbs in the sample.
We need to find how many defective bulbs would you expect in the entire shipment,
Let there be x defective bulbs in the sample.
using the concept of proportionality,
2 / 60 = x / 12500
x = 417
Hence, the defective bulbs in the entire shipment can be 417.
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Jared sold 194 Boy Scout chocolate bars. Matthew sold three times as many as Jared. Gary sold 297 fewer than Matthew. How many bars did Gary sell
Answer: 285
Step-by-step explanation:
Jared = 194
Matthew=(194)(3)=582
Gary=582-297=285
Fewer means Substraction
Gary will sell 285 chocolate bars
Look at this data set. 6, 8, ?, 15, 18, 14, 16, 8 The data set has 8 data points. The missing data point is a whole number. The median of the data set is 12. What is the value of the missing data point from the data set? A. 20 B. 15 C. 10 D. 5
The value of the missing data point is 10. Option C
How find the value of the missing data pointThe data set has 8 data points, and the median is given as 12. The median is the middle value when the data points are arranged in ascending or descending order.
Let's arrange the data set in ascending order:
6, 8, ?, 8, 14, 15, 16, 18
Since the median is 12, it should be the fourth data point when arranged in ascending order. Therefore, the missing data point must be the fourth value in the sorted data set.
From the given options, the only whole number that could fit as the fourth value in the data set is 10.
Thus, the value of the missing data point is C. 10.
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Convert .805 liters to millimeter s
PLEASE HELP ME ASAP ILL GIVE BRAINLIEST
The absolute value function that matches the graph is given as follows:
y = -|x + 1| + 1.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
In which a is the leading coefficient.
The coordinates of the vertex in this problem are given as follows:
(-1, 1).
Hence:
y = a|x + 1| + 1.
The function is reflected over the x-axis with a slope of -1, hence the leading coefficient a is given as follows:
a = -1.
Thus the function is:
y = -|x + 1| + 1.
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What is the value of the function y=3x−1 when x = 1?
−8
−4
2
6
Answer:
2
Step-by-step explanation:
Step 1 write the equation: y=3x-1
Step 2 Plug 1 in: y=3(1)-1
Step 3 Multiply 3 and 1: y=3-1
Step 4 Subtract 3 from 1: y=2
Answer:
-4
Step-by-step explanation:
The actual answer is -4! Hope that helps.
helppppppp!!!!!!!!!!!!!!
Answer:
20 oz
Step-by-step explanation:
12 + 20 = 32
32 to 20 is equal to 8 to 5
Sofia had $608 in her bank account. She withdrew 15% of the money in her account. How much did she withdraw?
Quickly answer!!!
She pulled out 91.2 dollars
What would be the height of a triangle if the base was 6 m and the area was 36 m²?
\( \huge \purple{\tt{Answer:}} \)
Area of a triangle = \( \sf{{\dfrac{1}{2}} \times base \times height} \)
\( \implies{\dfrac{1}{2}} \times 6 \times height = 36 \)
\(\implies height={ \dfrac{{\bcancel{36}^6}\times{2}}{{ \bcancel6}}} \)
\( \implies height = 12~m \)
Avoiding an accident when driving can depend on reaction time. That time, measured in seconds from the moment the driver see danger until they step on the brake pedal, can be described by the Normal model with a mean of 1.5 seconds and a standard deviation of 0.18 seconds.
Note that this scenario is talking about a population distribution. There is no discussion of a sample or sample size. Therefore, you do not need to adjust the standard deviation that is given before using the normalcdf and invNorm commands.
a) What percent of drivers have a reaction time greater than 1.8 seconds?
Give the command and values you used as a way of showing your work:
Give your final answer rounded to 2 decimal places:
b) Describe the reaction time of the slowest 10% of all drivers? (Hint: The slower a person reacts, the higher their reaction time so this is looking at the right tail of the distribution)
Give the command and values you used as a way of showing your work:
Give your final answer rounded to 2 decimal places:
Using the normal distribution, it is found that:
a) 4.75% of drivers have a reaction time greater than 1.8 seconds.
b) The reaction time is of at least 1.73 seconds.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It 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, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively:
\(\mu = 1.5, \sigma = 0.18\)
Item a:
The proportion is one subtracted by the p-value of Z when X = 1.8, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{1.8 - 1.5}{0.18}\)
\(Z = 1.67\)
\(Z = 1.67\) has a p-value of 0.9525.
1 - 0.9525 = 0.0475 = 4.75%.
4.75% of drivers have a reaction time greater than 1.8 seconds.
Item b:
The reaction time is of at least X seconds, in which X is the 90th percentile, that is, X when Z = 1.28, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(1.28 = \frac{X - 1.5}{0.18}\)
\(X - 1.5 = 1.28(0.18)\)
\(X = 1.73\)
The reaction time is of at least 1.73 seconds.
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Five times the product of two numbers x and y divided by a third number z
Answer:
The product of two numbers can be written as "x" and "y", and this product is multiplied by 7. Then, five is divided by "z" which is multiplied by 3. So, the answer is 7(xy) - 5/3z.
Step-by-step explanation: