Answer:
- 2
Step-by-step explanation:
\(\frac{-24}{(-3)(-4)} \) = \(\frac{-24}{12} \) = - 2
At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 20 minutes and a standard deviation of 5 minutes. Using the empirical rule, what percentage of customers have to wait between 5 minutes and 35 minutes?
Answer: About 99.7% of the population wait between 5 minutes and 35 minutes.
Step-by-step explanation:
According to the Empirical rule,
If a population is normally distributed, then
About 99.7% of the population lies within 3 standard deviations from the mean.
Here, Population is normally distributed with Mean = 20 minutes , standard deviation = 5 minutes
By empirical rule,
About 99.7% of the population wait between (20-3(5)) minutes and (20+3(5)) minutes.
About 99.7% of the population wait between 5 minutes and 35 minutes.
Which function is a horizontal translation of the parent quadratic function, f(x) = x2
O A. ;(z) = x2 - 4
B. g(x) = (x - 4)
C. k(x) = -42
D. h(x) = 4,2
The function that represents the horizontal translation of the parent function is (b)g(x) = (x - 4)^2
How to determine the horizontal translation?The function is given as:
f(x) = x^2
An horizontal translation is represented using:
f'(x) = (x ± h)^2
Where h does not equal to 0
From the list of options. we have:
g(x) = (x - 4)^2
Hence, a function that represents the horizontal translation of the parent function is (b)g(x) = (x - 4)^2
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is 22π a whole number
Answer:
No it is irrational number.
Step-by-step explanation:
because 2pie cannot be expressed as a quotient of interger.
Is this relation a function?
(4.3) (2,-1) (1, 3) (0,5)
Answer:
YES
Step-by-step explanation:
There is only one input for one output
Answer for 10 points please
Answer:
(n + 1) (2n - 7)
Step-by-step explanation:
2n^2 - 5n - 7
AC= 2 * -7 = -14
-7 + 2 = -5
2n^2 - 7n + 2n - 7
1n(2n - 7) 1(2n - 7)
(n + 1) (2n - 7)
Answer:
-8n
Step-by-step explanation:
2n²-5n=-1n
-1n-7=-8n
What is the magnitude of ?
V
(9,-4)
Answer:
The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.
Step-by-step explanation:
hope it help
Answer:
9.85
Step-by-step explanation:
|v|= √9²+(-4)²
=√81+16
=√97
|v|= 9.85
The function y = 2x + 2 and
y = 5/2x + k intersect at the point
(2,6). Find the value of k.
Answer:
k = 1Step-by-step explanation:
We know that:
Given equations: y = 2x + 2 and y = 5x/2 + k Given intersection point: (2,6)P.S, I solved this problem graphically. If you have any problems, please write them in the comments.
Explanation:
To find the value of k (y-intercept of 2nd line), we will need to draw a graph. Please check out the uploaded graph. In the graph, it tells us that the y-intercept of 2nd line is 1.
Hence, the value of k is 1.
A grapefruit is launched up into the air with a modified catapult In give by h (t)=15+60-1642 models the grapefruit's hei Select all the true statements about the situation. The grapefruit will hit the ground at 3 seconds. The valt 10 does not belong to the domain of h. The grapefruit is 15 feet above the ground when it is launched. The domain of function if only contains values greater than or equal to 0. 016-gravity will have on the grapefruit. OTH ame height 1 second after launch and 2 seconds after launch
The true statements are The grapefruit is 15 feet above the ground when it is launched. The domain of the function h only contains values greater than or equal to 0.
The grapefruit will hit the ground at 3 seconds.
This statement cannot be determined solely based on the given information. The equation provided, h(t) = 15 + 60t - 16t^2, represents the height of the grapefruit as a function of time. To determine when the grapefruit hits the ground, we need to find the value of t for which
h(t) = 0.
The value 10 does not belong to the domain of h.
The domain of the function h(t) is determined by the restrictions on the variable t. In this case, since h(t) represents the height of the grapefruit, it should be defined for all values of t that are relevant to the situation. From the given information, it is not clear whether the domain includes or excludes the value 10. Therefore, we cannot determine the validity of this statement.
The grapefruit is 15 feet above the ground when it is launched.
According to the equation h(t) = 15 + 60t - 16t^2, the initial height when t = 0 is 15 feet. Therefore, this statement is true.
The domain of the function h only contains values greater than or equal to 0.
The domain of a function represents the set of all valid inputs for the function. In this case, since t represents time, it cannot be negative. Therefore, the domain of h is indeed values greater than or equal to 0. This statement is true.
The same height 1 second after launch and 2 seconds after launch.
To determine if the grapefruit reaches the same height 1 second after launch and 2 seconds after launch, we need to evaluate the function h(t) at those time points.
At t = 1 second, h(1) = 15 + 60(1) - 16(1)^2 = 15 + 60 - 16 = 59 feet.
At t = 2 seconds, h(2) = 15 + 60(2) - 16(2)^2 = 15 + 120 - 64 = 71 feet.
Therefore, the grapefruit does not reach the same height 1 second after launch and 2 seconds after launch. This statement is false.
In summary, the true statements are The grapefruit is 15 feet above the ground when it is launched. The domain of the function h only contains values greater than or equal to 0.
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Please help me with this math question
Answer:
80a^9 + 70a^8
Step-by-step explanation:
Use the distributive property and multiply each term in the expression by 10a7
10a7(8a2 + 7a)
80a9+70a8
In this figure, 12.2% of the area is painted blue.
How much of the area is painted blue?
1.22 cm²
3.05 cm²
4.27 cm²
5.49 cm²
The area of the figure painted blue, which is 12.2% of the total area is: 4.27 cm².
What is the Area of a Triangle and Square?Area of triangle = 1/2(b)(h)Area of Square = s²The figure is composed of a triangle and a square. Find the area of the figure.
Area of the figure = 1/2(b)(h) + s² = 1/2(5)(4) + 5² = 35 cm²
12.2% of the area of the figure = 12.2/100 × 35 = 4.27 cm²
Therefore, the area of the figure painted blue, which is 12.2% of the total area is: 4.27 cm².
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Which math operation determines the following recursive sequence!
1,4,4, 16, 64, ...?
4
multiplication
addition
division
subtraction
Answer:
Multiplication
Step-by-step explanation:
Answer:
Multiplication
Step-by-step explanation:
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Plzz help, will mark brainliest
Answer:
34526.25 + 2707.25=37233.5
Step-by-step explanation:
how to do this question plz?
Answer:
y+y-8=<41,I think that's the answer
If a triangle meets the criteria of c2> a2 + b2, then the triangle is obtuse.
False
True
the answer to ur question is going to be false it was right for me so i hope it is for u! good luck
Between Method A (MAD of 1.4) and Method B (MAD of 1.8) which forecasting method performed the best?
Between Method A with a MAD(Mean Absolute Deviation) of 1.4 and Method B with a MAD (Mean Absolute Deviation) of 1.8, Method A performed better as it has a smaller MAD value.
To decide which estimating strategy performed the leading, we got to compare their Mean Absolute Deviation (Mad) values. Mad may be a degree of the average outright contrast between the genuine values and the forecasted values.
A little Mad esteem shows distant better; a much better; a higher; stronger; an improved" an improved forecasting accuracy, because it implies the forecasted values are closer to the real values.
Hence, between Strategy A with a Mad of 1.4 and Strategy B with a Mad of 1.8, Strategy A performed way better because it incorporates littler Mad esteem.
Be that as it may, it's vital to note that Mad alone does not allow a total picture of the determining execution. Other measurements, such as Mean Squared Blunder (MSE) or Mean Supreme Rate Blunder (MAPE) ought to too be considered to assess the exactness of the estimating strategies.
Furthermore, the setting and reason for the determining ought to too be taken under consideration when choosing the fitting estimating strategy.
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Given the piont and slope write the equation of the line 4,2 slope = 3
Answer:
I am not sure which form you want.
Points slope: y -2 = 3(x -4)
Slope intercept: y = 3x -10
Step-by-step explanation:
Point slope form for the line
y- y = m(x -x)
slope of 3 and the point (4,2) Use 4 for x and 2 for y
y -2 = 3(x -4)
Slope intercept form of a line
y = mx + b
2 = 3(4) + b
2 = 12 + b Subtract 12 from both sides
2 - 12 = 12 - 12 + b
-10 = b
y = mx + b
y = 3x -10
You are deciding what carb you want to eat for dinner, and you decide to look at the ratio of cooking times between rice to pasta. Rice takes 20 minutes to cook, and pasta takes 12. What is the ratio of cooking times for the rice to pasta?
(Make sure your ratio is simplified for your final answer)
5 : 3 is the ratio of cooking times for the rice to pasta .
What does a math ratio mean?
When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio. A percentage is an equation in which two ratios are made equal to one another.
You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Rice takes 20 minutes to cook
pasta takes 12
the ratio of cooking times for the rice to pasta = 20 : 12
= 5 : 3
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mp of a book is rs. 250 if the shopkeeper allows 14% discount to his customers and gains 25% . find the cp.
The cost price that was used to get the book is: R.S 172
How to find the cost price?The parameters given are:
Marked Price: M.P = RS. 250
Discount allowed = 10%
The formula to find the selling price here will be:
S.P = M.P * (100 - Discount)/100
Thus:
S.P = 250 * (100 - 14)/100
S.P = 250 * 0.86
S.P = R.S 215
Since the profit is 25%, then we have:
Cost Price = (S.P * 100)/(100 + Gain%)
Cost price = (215 * 100)/(100 + 25)
Cost Price = 21500/125
Cost price = R.S 172
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Suppose a floating point number: 010000001100000000… What is its decimal value? (don't enter fractions; enter decimal values. E.g., for 1/4 type .25) Question 7 Suppose a floating point number: 010000010110100000… What is its decimal value? (don't enter fractions; encer clecimal walues. E.g., for 1 and 1/4 type 1.25) Question 8 Convert the following float to decimal: 110000001111110…….…
The decimal value of the floating-point number 110000001111110... is approximately -0.000000015935.
A 32-bit binary number is the floating-point number 010000010110100000... We must interpret its components in accordance with the IEEE 754 standard for single-precision floating-point representation before we can convert it to decimal.
The number's sign is represented by the first bit, which is 0. The number is positive because it is zero.
The exponent is represented by the next eight bits, 10000010 The bias value, which is 127 for single-precision, needs to be subtracted in order to determine the exponent's decimal value. As a result, the value of the exponent is -25: 10000010 - 127.
The binary fractional part is represented by the remaining 23 bits, which are 110100000... Summing the series of 2(-i) for each bit I that is set to 1, we convert the fractional part to a decimal fraction for the purpose of determining its decimal value. The series is as follows, starting with the leftmost bit:
The decimal value of the floating-point number is then calculated as follows: 1/2 + 1/8 + 1/16 + 1/32 = 0.53125.
The floating-point number 010000010110100000... has a decimal value of approximately 0.0000000938776, which is equal to (-1)0 * 1.53125 * 2(-25).
8th Question: The 32-bit binary number 110000001111110... is a floating-point number. Using the same procedure as before:
The number's sign is represented by the first bit, which is 1. The number is negative because it is 1.
The exponent is represented by the next eight bits, 10000011 We get the exponent value of 10000011 - 127 = -24 when we subtract the bias value of 127.
In binary, the fractional part of the number is represented by the remaining 23 bits, which are 111110... Switching it over completely to a decimal division gives us the series:
1/2 plus 1/4 plus 1/8 plus 1/16 plus 1/32 equals 0.96875, so the floating-point number's decimal value is as follows:
The floating-point number 110000001111110... has a decimal value of (-1)1 x 1.96875 x 2 (-24), which is approximately -0.000000015935003662109375.
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PLZ HELP I BEG I REALLY NEED HELP :)
Answer:
A
Step-by-step explanation:
Charlie and Jasmine share cartons of apple juice. Charlie drinks 1/3 of a carton every day. Jasmine drinks 2/5 of a carton every day. Any apple juice left in a carton at the end of the day is used the following day. The cost of a carton is 70p. Charlie and Jasmine buy just enough cartons to last them for 10 days. How much do they spend in total for these cartons? Give your answer in £.
Using proportions, it is found that they spent a total of £5.6 for these cartons of apple juice.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the daily fraction of a carton they drink is given by:
\(\frac{1}{3} + \frac{2}{5} = \frac{5 + 6}{15} = \frac{11}{15}\)
Hence, applying the proportion, over 10 days, the amount of cartons they drink is given by:
\(10 \times \frac{11}{15} = \frac{110}{15} = 7.33\)
Rounding up, they buy 8 cartons, each at £0.7. Hence the total amount spent is given by:
8 x £0.7 = £5.6.
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As a student you are able to earn extra money by assisting your neighbors with odd jobs. If you charge 10.25 broken over an hour for your assistant, about how many hours would you need to work to earn $8,425?
For solving our problem we have to divide our total which is $8425 by the hourly charge $10.25
$8425 / $10.25 = 821,95
The rounded answer is 822 hours.
. What is 20% as a decimal?
Answer:
20% as a decimal is 0.2.
Answer:
0.20
Step-by-step explanation:
You take the percent and divide by 100
what is 2x + 20 + 2x = 60
Answer:
= 1 0
Step-by-step explanation:
Solve
1. Combine like terms
2 + 2 0 + 2 = 6 0
4 + 2 0 = 6 0
2. Subtract 20 from both sides of the equation
4 + 2 0 = 6 0
4 + 2 0 − 2 0 = 6 0 − 2 0
3. Simplify
Subtract the numbers4 + 2 0 − 2 0 = 6 0 − 2 0
4 = 6 0 − 2 0
Subtract the numbers4 = 6 0 − 2 0
4 = 4 0
4. Divide both sides of the equation by the same term
4x = 40
4x/4 = 40/4
5. Simplify
Cancel terms that are in both the numerator and denominator4x/4 = 40/4
x = 40/4
Divide the numbersx = 40/4
x = 10
What is a lifetime cap?
O A. A limit on how many loans a person can acquire in his or her
lifetime
O B. A limit on how much an ARM's interest rate can change over the
life of a mortgage
O C. A limit on how many years a loan can be for
OD. A limit on a loan's initial interest rate
SUS
Answer:
B) A limit on how much an ARM'S interest rate can change over there
I tried my best
stay at home stay safe
and keep rocking
Suppose you are testing the null hypothesis that the average number of screaming 12 year-olds at Ariana Grande concerts is equal to the known population average of screaming 12 year-olds at Drake concerts. You will reject the null hypothesis if...
You will reject the null hypothesis if your sample average is in the area of the null hypothesis sampling distribution called alpha.
In summary, to reject the null hypothesis, the sample average needs to fall in the area of the null hypothesis sampling distribution known as alpha.
To explain the answer, hypothesis testing involves comparing a null hypothesis (the statement being tested) with an alternative hypothesis. In this scenario, the null hypothesis states that the average number of screaming 12-year-olds at Ariana Grande concerts is equal to the known population average of screaming 12-year-olds at Drake concerts.
To make a decision about the null hypothesis, we calculate the sample average from data collected at Ariana Grande concerts. We then compare this sample average to a predetermined significance level called alpha.
If the sample average falls within the critical region, which is determined by alpha, we reject the null hypothesis. The critical region represents extreme values that would be unlikely to occur if the null hypothesis were true.
Therefore, if the sample average is in the area of the null hypothesis sampling distribution called alpha, we reject the null hypothesis, indicating that there is a significant difference between the average number of screaming 12-year-olds at Ariana Grande concerts and the known population average at Drake concerts.
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The complete question is :
Suppose you are testing the null hypothesis that the average number of screaming 12 year-olds at Ariana Grande concerts is equal to the known population average of screaming 12 year-olds at Drake concerts. You will reject the null hypothesis if.....
a)your null (comparison) average is in the area of the alternative hypothesis sampling distribution called D (Beta)
b) your null (comparison) average is in the area of the alternative hypothesis sampling distribution called u (alpha)
c)your sample average is in the area of the null hypothesis sampling distribution called beta
d)your sample average is in the area of the null hypothesis sampling distribution called alpha.
A circle has a circumference of 487
centimeters. Maricela recorded that the
circumference was 150.8 centimeters. Is
150.8 less than a greater than 48-?
Explain your answer:
Answer:
\(150.8 < 487\)
Step-by-step explanation:
Given
\(C = 487cm\) -- Actual measurement
\(M = 150.8\) -- Recorded measurement
Required
Is M < C or M > C?
By comparing both values, we can see that:
\(M < C\)
Because, on a number line from right to left; 150.8 comes before 487.
Hence:
\(150.8 < 487\)
Find cos A and cot B exactly if a=15 and b=11 , what will Cos A be and Cot B be?
Answer:
D. <15/√346>
Have a nice day! :)
Jean took out a 5- year car loan of Rs 600 000.
He paid back a total of Rs 840 000.
What simple interest rate did he pay for this load?
interest= 840000-600000= 240000
P= 600000
R=?
t= 5 yrs
I = prt
240000 = 600000 × r × 5
r= 240000/600000×5
r = 0.08
interest rate = 0.08× 100 = 8%
7/9 - 1/5 =. put answer in simplest form
35-9/45 = 26/45
The answer is 26/45.
Answer:
26/45
Step-by-step explanation:
35/45-9/45=26/45