Answer:
Step-by-step explanation:
m=72° (corresponding angles)
n=m=72° (corresponding angles)
p=180-(80+72)=180-(152°)=28°
x=np=5
y=nm=8
z=pm=12
Which number in the expression is the CONSTANT?
бу — 5
Destiny bought a carton of oj. She drank 1/3 of the carton on Monday and 5/12 of the carton on Tuesday. What fraction of the carton did Destiny drink?
A.) 6/12 Carton
B.) 9/12 Carton
C.) 6/15 Carton
D.) 1 Carton
Answer:
B) 9/12
Step-by-step explanation:
1/3=4/12
5/12=5/15
4/12+5/12=9/12
A sample of experienced typists revealed that their mean typing speed is 87 words per minute and the median typing speed is 73 words per minute. The standard deviation of typing speed is 16.9 words per minute. What is the Pearson coefficient of skewness
Answer:
The Pearson coefficient of skewness is of 0.8284.
Step-by-step explanation:
Pearson skewness:
The skewness of a data set is given by the subtraction of the mean by the median, divided by the standard deviation.
In this question:
The mean is of 87, the median is of 73 and the standard deviation is of 16.9. So
(87-73)/16.9 = 0.8284.
The Pearson coefficient of skewness is of 0.8284.
X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that X is between 17 and 27 is Group of answer choices 0.6826 0.6931 0.3413 0.9931 0.0069
The probability that X is between 17 and 27 is given as follows:
0.6826.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
\(\mu = 22, \sigma = 5\)
The probability that X is between 17 and 27 is the p-value of Z when X = 27 subtracted by the p-value of Z when X = 17, hence:
Z = (27 - 22)/5
Z = 1
Z = 1 has a p-value of 0.8413.
Z = (17 - 22)/5
Z = -1
Z = -1 has a p-value of 0.1587.
0.8413 - 0.1587 = 0.6826.
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what does 30,000 divided by 12,674 equals?
Answer:
2.36705065488
A headphone set that normally sells for $84 is marked down by 27%. What is the sale price?
Answer:
The answer is $61.32
The colony of bacteria grows according to the law of inhibited growth of a function N(t)=100e^0.045t where N is measured in grams and t is measured in days. Determine the initial amount of bacteria.
Solve the equations in the system y=x^2-3,2x-y=3
Answer:
(x1,y1)=(0,-3)
(X2,y2)=(2,1)
Step-by-step explanation:
Step-by-step explanation:
Isolate the last system for y
\(2x - y = 3\)
\( - y = - 2x + 3\)
\(y = 2x - 3\)
Set each equation equal to each other
\( {x}^{2} - 3 = 2x - 3\)
\( {x}^{2} - 2x = 0\)
\(x(x - 2) = 0\)
\(x = 0\)
\(x = 2\)
Plug in both x values to get their associated y values
\( {0}^{2} - 3 = - 3\)
So one solution is (0,-3)
\( {2}^{2} - 3 = 1\)
Another solution is (2,1)
Help meeeeeeeeeeeeeeee
Answer:
75
Step-by-step explanation:
f(4) means to use 4 in place of x.
f(x) = 3(5)^(x-2)
fill in 4 for
f(4) = 3(5)^(4-2)
do the 4-2 subtraction first
f(4) = 3(5)^2
do the 5 to the 2nd power next.
f(4) = 3(25)
last, multiply.
f(4) = 75
This is just following the typical order of operations.
7
Felicia is making trail mix. The recipe calls for 3 cups pretzels and 1.5 cups of m&m's.
She wants to make 27 cups of trail mix for a birthday party. How many cups of pretzels and m&m's does she need?
Answer:
81 Cups of Pretzels and 40.5 Cups of M&M's
Step-by-step explanation:
p= Pretzels
m= M&M;s
3p+1.5m= 1
3(27)+ 1.5(27)
81 + 40.5
この問題を最も簡単に解決する. 不適切な回答はありません.
japones ^^
look you have to multiply
8 cm x 6cm
20cm x 6 cm
and the answer that comes out of the multiplication is the correct one
A certain type of golfball is tested by a robot that hits the ball with a consistent impact force. The distances this type of ball travels in this test are normally distributed with a mean of 195195195 meters and a standard deviation of 555 meters. Suppose that quality control experts regularly collect random samples of 252525 distance measurements and calculate the sample mean distance in each sample. Assume that the measurements in each sample are independent. What will be the shape of the sampling distribution of the sample mean distance
Answer:
Approximately normal
Step-by-step explanation:
Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.
The shape of the sampling distribution of the sample mean distance is approximately normal
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that The distances this type of ball travels in this test are normally distributed with a mean of 195 meters and a standard deviation of 5
meters.
Suppose that quality control experts regularly collect random samples of 25 distance measurements and calculate the sample mean distance in each sample
When a population is normally distributed, the sampling distribution of the sample mean x will also be normal regardless of sample size.
Since the distribution of distances is normal, the sampling distribution of the sample mean distance will also be normal.
Hence, the shape of the sampling distribution of the sample mean distance is approximately normal
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A cake recipe calls for the following dry ingredients: 3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa. To the nearest cup, how much dry ingredients will be used?
The amount of dry ingredients used in the cake recipe is approximately 7 cups.
To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.
3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.
2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.
1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.
Adding these amounts together, we get:
3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces
To the nearest cup, this is equal to 7 cups.
Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.
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Lillian drew a design inside a circle.
Which measurement is closest to the
circumference of the circle?
F 25 cm H 50 cm
G 40 cm
J 32 cm
Answer:
H (50cm)
Step-by-step explanation:
Since 8 is the radius, 16 is the diameter. The formula for the circumference of a circle is diameter times pi, so 16pi is around 50
Vito had $12,000 which he decided to give to his 4 children. He gave 50% to
Michael, 25% to Sonny, and the remainder divided equally between Fredo
and Connie. How much money did Michael get? *
$6,000
$3,000
$1,500
$2,000
Step-by-step explanation:
6,000
michael
got 6,000
What is the purpose of data? Answer below.
The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.
Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.
By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.
For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.
Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.
Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.
Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.
Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.
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Factor 36+21. Write your answer in the form a(b+c) where a is the GCF of 36 and 21.
Answer:
3(12 + 7)
Step-by-step explanation:
To find the GCF of 36 and 21, list out their factors.
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
21: 1, 3, 7, 21
The greatest factor which both numbers share is 3.
Therefore, you can factor 36 + 21 as 3(12 + 7)
my dad just sent me this riddle, i’ve spent an hour on this and even brought my mom into it but no one can figure it out, help? “You will find me above what is full and there are multiples that I sit above. The items below the full are made of the same but sit empty in the upside down”
Answer:
What grade are you?
Step-by-step explanation:
Cause it's hard even gòogle can't answer it.
It takes 1 minute for a high speed train to travel 2 miles. How many miles can it travel in 1 hour?
How many distinct ways are there to arrange 3 yellow marbles, 3 green marbles, 2 red marbles, and 2 blue marbles in a row?
There are 3150 distinct ways to arrange the marbles in a row.
What is Combination ?
In mathematics, combination is a way of selecting a group of objects from a larger set, without regard to the order in which the objects are selected. Combinations are also sometimes called "unordered selections" or "combinatorial subsets".
To solve this problem, we can use the formula for permutations with repetition. We have a total of 10 marbles, but some of them are repeated. Specifically, we have:
3 yellow marbles (repeated)
3 green marbles (repeated)
2 red marbles (repeated)
2 blue marbles (repeated)
So the number of distinct ways to arrange these marbles in a row is:
(10!) ÷ (3! x 3! x 2! x 2!)
The factorials in the denominator account for the repetition of each color. We divide by them to eliminate the overcounting that would occur if all the marbles were unique.
Simplifying this expression, we get:
(10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)÷(3 x 2 x 1 x 3 x 2 x 1 x 2 x 1 x 1 x 1)
which equals:
(10 x 9 x 8 x 7 x 6 x 5 x 4) ÷ (3 x 3 x 2 x 2)
Simplifying further, we get:
(10 x 3 x 3 x 3 x 2 x 2 x 7 x 5) ÷ (3 x 3 x 2 x 2)
which equals:
(10 x 3 x 3 x 7 x 5)
which finally equals:
3150
Therefore, there are 3150 distinct ways to arrange the marbles in a row.
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There are 4, 6, and 7 points on three lines. How many triangles with vertices at these points are possible?
Ana pago $350 por 6 pizzas ¿cuánto le costó cada una?
Usando proporciones y regla de três, tiene-se que cada pizza le costó $58.33.
Para encontrar el precio de cada pizza, usa-se proporciones, aplicando una regla de três.A medida que aumenta la cantidad, también lo hace el precio, por lo que las medidas son directamente proporcionales y se aplica la multiplicación cruzada. $350 por 6 pizzas. ¿cuánto por 1?La regla de três es:
$350 - 6 pizzas
x - 1 pizzas
Aplicando multiplicación cruzada:
\(6x = 350\)
\(x = \frac{350}{6}\)
\(x = 58.33\)
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whats the answer can u help me please
Answer:
3
Step-by-step explanation:
i am guessing 3 sorry is i am wrong
The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line.
Answer:
Option: D is the correct answer.
The equation of line in point-slope form is given by:
y-9=2(x-1)
Step-by-step explanation:
We know that the point-slope equation of a line is given by:
y-b=m(x-a)
where (a,b) is the point from which the line passes and m is the slope of the line.
Here we are given that:
The line passes through (1,9) and slope of the line is given to be 2.
Hence,
(a,b)=(1,9) and m=2
Hence, the equation of line is given by:
y-9=2(x-1)
Therefore, the point slope intercept equation of the line is: D
6. Rewrite y = √√4x+16 +5 to make it easy to graph using a translation. Describe the graph.
Answer:
~
Step-by-step explanation:
To make it easier to graph using a translation, we can rewrite the given equation as:
y - 5 = √√4x + 16
This is obtained by subtracting 5 from both sides of the equation.
The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.
The graph represents the distance, in kilometers, that a car traveled. How far had the car traveled in 3/4 of an hour?
Answer: if you dont show the picture i cant answer!
Step-by-step explanation:
graph the line passing through (−4,−1) whose slope is m=-4/5
Answer:
\(y=-\frac{4}{5}x-\frac{21}{5}\)
Step-by-step explanation:
The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):
\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)
To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept.
Substituting m = -4/5, x = -4, and y = -1, we can solve for b:
-1 = (-4/5)(-4) + b
-1 = 3.2 + b
b = -4.2
Therefore, the equation of the line is:
y = (-4/5)x - 4.2
To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:
y = (-4/5)x - 4.2
y = (-4/5)(0) - 4.2
y = -4.2
So the y-intercept is (0,-4.2).
Using this point and the given point (-4,-1), we can draw a straight line passing through both points.
Here is a rough sketch of the graph:
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The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.
3,998-(-7)= can you please help me with this problem
Answer:
4005
Step-by-step explanation:
3,998 - (-7) = ?
Two negative signs will make a positive sign.
3,998 - (-7) = 3998 + 7 = 4005
So, the answer is 4005
Ms. Chung drives the same distance to go to work every Monday through Friday. On Saturday she drove g the distance she drives to work. The distance she drove on Saturday was 0.9 miles. Part A: In the first box, enter an equation to represent the distance, d, that Ms. Chung drives to work. Part B: In the second box, enter the distance Ms. Chung drives to work.
A) The algebraic expression will be 12d + 7 = 91
B) He drives 7 miles per day to work.
For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.
The distance she drove on Saturday was; 0.9 miles.
The number of miles she drives per day:
84 miles/12
= 7 miles per day
Let the number of miles she travels be day = d
12d + 7 = 91 miles
12d + 7 = 91
12d = 91 - 7
12d = 84
d = 84/12
d = 7 miles per day
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what is 1.25 x 10^-1
Answer:
0.125 is the answer. When the exponent is negative move the decimal point to the left. Vice-versa for when it's a positive exponent.