Answer:
6
Step-by-step explanation:
Answer:
6 pages per day
Step-by-step explanation:
Which equation represents the graph of function j ?
The top number in the first sentence above the graph is 1/2
Answer:
f(x) = (-x+4)^(1/2)
which coincides with answer D
Step-by-step explanation:
Reflection around the Y axis with (-x)^(1/2) and the subtract 4 from x for the horizontal shift to the right in 4 units:
f(x) = (-(x-4))^(1/2) = (-x - 4 )^(1/2)
Determine the probability of rolling a die and getting a 2
then a 5.
The probability of rolling a die and getting a 2, then a 5, is 1/36.
To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.
First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.
Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.
To find the probability of both events happening, we multiply the probabilities:
Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.
Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.
It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.
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A garden has 9 rows of tomato plants each row had 8 each row. How many tomato plants are there ?
Answer:
Nine rows X 8 in the row= 72
Step-by-step explanation:
Answer: For this question you would just multiply 8 and 9 and get 72.
Step-by-step explanation:
Because there are 9 rows of tomato plants and each row has 8 tomatos, you would be doing 9x8 and get your answer of 72. Hope this makes sense!
The Australian Open is the first of the four Grand Slam professional tennis events held each year. Victoria Azarenka beat Maria Sharapova to win the 2012 Australian Open women’s title. During the tournament Ms. Azarenka serve speed reached kilometers per hour. A list of the Women’s Singles serve speed for the 2012 Australian Open is provided below. Player Serve Speed (km/h) S. Williams 192 S. Lisicki 192 M. Keys 191 L. Hradecka 188 J. Gajdosova 187 J. Hampton 187 B. Mattek-Sands 185 F. Schiavone 185 P. Ormaechea 185 P. Parmentier 185 N. Petrova 183 G. Arn 183 V. Azarenka 182 A. Ivanovic 182 P. Kvitova 179 M. Krajicek 179 V. Dushevina 178 S. Stosur 176 S. Cirstea 176 M. Barthel 175
a. Compute the mean, variance, and standard deviation for the serve speeds.
b. A similar sample of the 20 Women’s Singles serve speed leaders for the 2011 Wimbledon tournament showed a sample mean serve speed of 182.5 kilometers per hour. The variance and standard deviation were 33.3 and 5.77, respectively. Discuss any difference between the serve speeds in the Australian Open and the Wimbledon women’s tournaments.
Answer:
asnwer is B
Step-by-step explanation:
mark BRAINLIEST
Please help me!!!
Find the measure of angle x in the figure below:
Answer:
Step-by-step explanation:
Which of the following correctly uses the additive inverse property
Step-by-step explanation:
-6÷-30=1/6÷1/30
1/6×30/1
=5
Show your work please help me it’s due tomorrow!!!!
Answer: Consider me the brainiest. The answer is... Decimal form =4.083
Exact form= 49/12
The mixed number form=4 1/12
How do we solve fractions step by step?
Conversion a mixed number 2 1/3 to a improper fraction: 2 1/3 = 2 1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3
To find a new numerator
A; Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3
b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one-third are seven-thirds.
Conversion a mixed number 1 3/4 to a improper fraction: 1 3/4 = 1 3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4
To find a new numerator:
a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4
b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7
c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.
Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It
is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling. In other words - seven thirds plus seven quarters is forty-nine twelfths.
Consider the polynomial function q(x) = -2x^8 + 5x^6 -3x^5 + 50 What is the end behaviour of the graph of q?
The end behavior of the function q(x) is:
when x → ∞, q(x) → -∞when x → -∞, q(x) → -∞How to identify the end behavior?To know the end behavior we need to look at the degree and the sign of the leading coefficient.
If the degree is even, and the leading coefficient is negative, then in both ends the function will tend to negative infinity.
Here we can see that the function is:
q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50
So, the degree is 8, and the leading coefficient is -2, then the end behavior of the function is:
when x → ∞, q(x) → -∞
when x → -∞, q(x) → -∞
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Refer to the accompanying data set and use the 25 home voltage measurements to construct a frequency distribution with five classes. Begin with a lower class limit of 122.9 volts, and use a class width of 0.2 volt. Does the result appear to have a normal distribution? Why or why not?
A frequency distribution table is a table that summarizes data in two columns.
The result does not appear to have a normal distribution.
How to construct the frequency distribution tableFrom the dataset, we have the following classes using 5 classes with a lower class limit of 119.4 and a class width of 0.2 volts
119.4 - 119.6, 119.7 - 119.9, 120.0 - 120.2. 120.3 - 120.5. and 120.6 - 120.8
So, the frequency distribution table is:
Class Frequency
119.4 - 119.6 4
119.7 - 119.9 10
120.0 - 120.2 6
120.3 - 120.5 5
120.6 - 120.8 0
The result does not appear to be normal.
This is so, because the frequency table do not go in form of a bell shape
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.
Andrés va a colocar piso
a su cuarto, si el cuarto mide
3.7m de ancho por 4.5m de
largo y cada caja de piso
alcanza para 1.54m2. ¿Cuántas
cajas de piso va a necesitar?
Responder:
11
Explicación paso a paso:
Dado que:
Dimensión de la habitación = 3,7 m por 4,5 m
Área de la habitación:
Largo * ancho
Los 3.7m * 4.5m
= 16,65 m²
Área de la caja de piso = 1.54m²
Número de cajas de suelo necesarias:
Área de la habitación / área de la caja de piso
16,65 m² / 1,54 m²
= 10,812
= 11 cajas de suelo
The length of a rectangle is 3 yd longer than its width.
If the perimeter of the rectangle is 70 yd, find its length and width.
Answer:
Length= 19
Width=16
Step-by-step explanation:
(16x2)+(19x2)=70
38+32=70
Roland has built a circuit, and is using a device called an
ammeter to measure how quickly electrical current is flowing
through the circuit. He calculates that the current should be
0.180 amps, but he measures the current as 0.173 amps. What
is Roland's percent error?
Roland's percent error is approximately 3.889%.
This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.
The positive sign indicates that Roland's measured value is slightly lower than the actual value.
To calculate Roland's percent error, we can use the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100
Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:
Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100
Simplifying the expression within the absolute value:
Percent Error = (|-0.007| / 0.180) \(\times\) 100
Since the absolute value of -0.007 is 0.007, we have:
Percent Error = (0.007 / 0.180) \(\times\) 100
Calculating the division:
Percent Error = 0.03889 \(\times\) 100
Percent Error = 3.889%.
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On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 479 pounds and a standard deviation of 40 pounds. The cow transport truck holds 15 cows and can hold a maximum weight of 7350. If 15 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 7350
Answer: 0.1435
Step-by-step explanation:
Given : Mean = 479 pounds
Standard deviation = 40 pounds.
Let X denote the weights of cows.
\(X\sim N(\mu=479,\sigma=40)\)
The cow transport truck holds 15 cows and can hold a maximum weight of 7350.
i.e. mean weight of cow in this case =\(\overline{x}=\dfrac{7350}{15}=490\text{ pounds}\)
If 15 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 7350 will be:-
\(P(\overline{x}>490)=P(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{490-479}{\dfrac{40}{\sqrt{15}}})\\\\=P(z>1.065)\ \ [\because\ z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(z\leq1.065)\\\\=1- 0.8565=0.1435\ \ [\text{By z-table}]\)
Hence, If 15 cows are randomly selected from the very large herd to go on the truck, the probability their total weight will be over the maximum allowed of 7350 = 0.1435
So, the probability their mean weight will be over 479 is \(0.53836.\)
Z-score:A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean.
It is given that,
\(\mu=479\\\sigma=40\\n=15\\X=maximum\ weight=7350\)
Then,
\(\bar{x}=\frac{\sum x}{n}\\ =\frac{7350}{15}\\ =490\)
Now, calculating Z-score:
\(Z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n} } } \\Z=\frac{490-479}{\frac{40}{\sqrt{15} } }\\ Z=1.07\)
Using z table =1.07
\(P(Z < 1.07)=0.46164\\P(Z > 1.07)=1-P(Z < 1.07)\\=1-0.46164\\=0.53836\)
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Two times the sum of a number and 8 is negative 48 what is the number?
Answer:
-32
Step-by-step explanation:
Let the number be x.
\(2(x+8)=-48 \\ \\ x+8=-24 \\ \\ x=-32\)
A round pencil is sharpened to a cone shape at both ends.calculate the volume of the pencil if the two radius is 1.2 and heights are 8cm
Answer:
A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm
Calculate the volume using the value 22/7.
Step-by-step explanation:
Which statement about the net is true?
The net can be folded to form a pyramid because at least one of the faces is a triangle.
The net can be folded to form a pyramid because more than one of the faces is a triangle.
The net cannot be folded to form a pyramid because one of the faces is a rectangle.
The net cannot be folded to form a pyramid because the faces that are not a base are not all triangles.
Answer:
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
Step-by-step explanation:
Find the length of the side labeled (45)
Answer:
Step-by-step explanation:
x = 6
Answer:
A.6
Step-by-step explanation:
The hypotenuse is equal to x√2, so x is 6.
Which of the following statements are true?
Select all that apply.
A. 4 is a perfect cube.
B. 16 is a perfect square.
C. 2,197 is both a perfect square and a perfect cube.
D. 8 is a perfect cube.
E. 18 is neither a perfect square nor a perfect cube.
The statements that are true are B and D.
Given are some statements we need to check which is true.
Let's analyze each statement:
A. 4 is a perfect cube.
False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.
B. 16 is a perfect square.
True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.
C. 2,197 is both a perfect square and a perfect cube.
False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.
However, it is a perfect cube because 13³ equals 2,197.
D. 8 is a perfect cube.
True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.
E. 18 is neither a perfect square nor a perfect cube.
True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.
Therefore, the statements that are true are B and D.
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Is the point (11, 15) on the circle defined by (x-9)² + (y-15)² = 4?
O Yes
O No
1. Henry's little brother still sleeps in a crib at night. The crib is designed so the mattress can
be lowered as his brother gets older. The top and bottom pieces are parallel to one
another.
Currently, his crib is on Level 1 as shown below. If the m <2 is 42°, find the m <4 and m <7.
m<4=138°
m<7 = 42°
The measures of angle 4 (m<4) and angle 7 (m<7) are 42° and 96°, respectively.
To find the measures of angles 4 and 7, we need to apply some geometric principles. Since the top and bottom pieces of the crib are parallel to each other, we can use the property of alternate interior angles.
Angle 4 (m<4) is formed by a transversal (the line connecting the top and bottom pieces of the crib) intersecting two parallel lines. Given that angle m<2 is 42°, we know that angle 4 is congruent to angle 2. Therefore, m<4 = m<2 = 42°.
Angle 7 (m<7) is formed by a transversal intersecting two parallel lines as well. However, in this case, angle 7 is an exterior angle, which is equal to the sum of the two remote interior angles. The remote interior angles are angles 2 and 4. We know that m<2 = 42° (as given) and m<4 = m<2 = 42° (as explained above). Therefore, the sum of angles 2 and 4 is 42° + 42° = 84°. Since angle 7 is an exterior angle, it is equal to 180° minus the sum of the remote interior angles. Thus, m<7 = 180° - 84° = 96°.
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Find the ratio of : a) 20m 70cm : 30cm
Answer:
20 cm:3 m=
3 m
20 cm
=
300
20
=
15
1
[∵1 m=100 cm]
Step-by-step explanation:
Answer:
firstly convert cm into meter like.
30cm = 0.30m
then put
0.30. upon 20 m
For each problem, find the equation of the line tangent to the function at the given point. Your answer should be in slope-intercept form. 11) y = 2x² - 16x +27 at (2, 3)
The equation of the tangent line to the function, y = f(x) = 2x² - 16x + 23 at ( 2,3) in slope-intercept form is y = -8x + 19 .
What is Tangent Line?The tangent line to the graph of a differentiable function f(x) at the point x = a, has two important properties:
1. The slope of the tangent line is equals to f'(a).
2. The tangent line will intersect the point (a, f(a)).
We have, y = f(x) = 2x² - 16x + 23
We can write the equation in slope-intercept form y = mx +c, where m represents the slope and c , the y-intercept. The value of f'(2) is equal to m and c may be found by evaluating f(2).
f'(x) = 4x - 16
f'(2) = 4×2 - 16 = - 8
so, m = -8
f(2) = 2(2)²- 16×2 + 27 = 3
Thus, tangent line intersects the point (2, 3) and slop of it is -8.
Now, equation of tangent line is
y = -8x + c --(2)
put x = 2 , y = 3 then, 3 = - 8 × 2 + c
=> c = 19
from equation (1), y = -8x + 19
Therefore, required equation is y = -8x + 19 .
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Which of these expressions is equivalent to log (
9.4)?
O A. log (9) - log (4)
O B. log (9) • log (4)
O C. 9. log (4)
O D. log (9) + log (4)
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 5.8% per hour. How many hours does it take for the size of the sample to double?
It will take 5.189 hours to get doubled the size of Sample.
What is Exponential Function?A relation of the form y = \(a^x\), with the independent variable x ranging over the entire real number line as the exponent of a positive number a.
Given:
Growth rate = 5.8%
The continuous exponential growth model for populations is given by:
P(t)= \(P_0 e^{rt\)
So, r= 5.8%
r = 0.058
Now, the time taken to double the sample then P(t) = 2P(0).
So, P(t)= \(P_0 e^{0.058t\)
2P(0) = \(P_0 e^{0.058t\)
\(e^{0.058t\) = 2
Taking log on both side
log \(e^{0.058t\) = log 2
0.058 t = 0.301
t= 0.301/ 0.058
t = 5.189
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-3 + 2x + x squared is equals to 12 solve the following equation
Answer:
x=3
Step-by-step explanation:
-3 + 2 x 3 + 3 squared = 12
Draw a box- and- whisker plot that corresponds to the given data set 31, 12, 8, 25, 23, 17, 20, 13
The box-and-whisker plot that displays the five-number summary of the given data is: option B.
How to Draw a Box-and-whisker Plot?A box-and-whisker plot displays the five-number summary of a data, which includes, the min and max values, medain, upper and lwoer quartiles.
To draw a box-and-whisker plot, find the five-number summary of the data, 31, 12, 8, 25, 23, 17, 20, 13:
Minimum: 8First Quartile: 12.5Median: 18.5Third Quartile: 24Maximum: 31Therefore, the box-and-whisker plot that displays the five-number summary of the given data is: option B.
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The total amount of candy sold at Cassandra's Candy Corner can be represented by the function C(x) = 4x3 + 16x2 + 60x + 648, where x represents the number of years since the store opened. The amount of types of candy can be modeled by the linear function T(x) = 2x + 12. Which expression represents the amount of candy sold each year per type at Cassandra's Candy Corner?
4x3 + 16x2 + 58x + 636
4x3 + 16x2 + 62x + 660
2x2 – 4x + 54
2x2 + 4x + 54
The expression which correctly represents the amount of candy sold each year per type at Cassandra's Candy corner is; 2x2 – 4x + 54.
Polynomial divisionIt follows from the task content that the expression which shows the amount of candy sold each year per type is to be determined.
Since, the function, C (x) = 4x³ + 16x² + 60x + 648 represents the total amount of candy sold while, T(x) = 2x + 12 represents the amounts of types of candy.
Therefore, the amount of candy sold each year per type is; C(x) ÷ T(x).
Hence, the result of the polynomial division as in the attached image is; 2x² - 4x + 54.
Ultimately, the amount of candy sold each year per candy is represented by the expression; 2x² - 4x + 54.
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Thelma served five pieces of
a pie. The pie was cut into eighths. What
fraction of the pie did she serve? Write
a multiplication equation using a unit
fraction to represent the information.
The fraction of the pie that she served is given as follows:
5/8.
How to obtain the fraction?The fraction of the pie that she served is obtained applying the proportions in the context of the problem.
A fraction is a way of expressing a part of a whole or a ratio between two quantities. It represents a number that is not a whole number and is usually written in the form of a numerator over a denominator.
The parameters for the fraction are given as follows:
Thelma served five pieces of a pie, hence the numerator is of 5.The pie was cut into eighths, hence the denominator of the fraction is of 8.Then the fraction is given as follows:
5/8.
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In order to graph a line from an equation that is written in slope intercept form, what do you plot first, then next.
O plot (b) first, then plot 9mo to rise and run to find other points.
O just plot the (b) on the y-axis only.
O plot (b) on the X-axis, then (m) on the y-axis.
Oplot (m) first to rise and run to find other points, then plot (b)
Answer:
first answer - you plot 'b' [on the y-axis] first, then use the slope m = c/d to go d units right and then c units up (positive 'c') or down (negative 'c')
Step-by-step explanation:
plot 'b' [on the y-axis] first, then use the slope m = c/d to go d units right and c units up (positive 'a') or down (negative 'a')
It has to be the first answer (in spite of the typo here), because all the others are wrong
The property tax on a house with an assessed value of $624,000 is $7280. Determine the property tax on a house with an assessed value of $762,000, assuming the same tax rate.
Using proportions, the property tax on a house with an assessed value of $762,000 is of $8,890.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The tax rate, as a proportion, is:
7280/624000 = 0.011667.
Hence, the property tax on a house with an assessed value of $762,000 is of:
0.011667 x 762,000 = $8,890.
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