Hope this helps, have a nice day!!
x is a random real number between 0 and 3. what is the probability that it is closer to 0 than it is to 1?
Answer:
The area y>x will belong to the trapezoidal area. Thus, the area of the trapezoid = 0.5*(4+1)*3 = 15/2. Finally, the required probability = trapezoid ...
Step-by-step explanation:
please helpppppppppp me
Answer:
3.82x10^7
Step-by-step explanation:
Basically, start counting from 3.8 and keeping counting the steps until behind the last number 0. Those steps is the exponent or in this case 7.
a bag contains a mixture of almonds, walnuts, and cashews. there is an equal quantity of each nut. if a nut is chosen randomly out of the bag, what is the probability that the nut is either an almond, a walnut, or a cashew? round answer to the nearest thousandth. a. 0.333 b. 0.667 c. 0.750 d. 1 please select the best answer from the choices provided a b c d
Given that a bag contains a mixture of almonds, walnuts, and cashews. There is an equal quantity of each nut. We have to find the probability that the nut is either an almond, a walnut, or a cashew.
Let's solve it. Total quantity of nuts in the bag = Quantity of almonds + Quantity of walnuts + Quantity of cashewsAs the bag contains an equal quantity of each nut, Let's assume that the bag contains 1 nut of each almond, walnuts, and cashews.
Quantity of almonds = 1Quantity of walnuts = 1Quantity of cashews = 1Total quantity of nuts in the bag = 3 Probability of choosing an almond from the bag
P (almond) = Quantity of almonds/Total quantity of nuts in the bag= 1/3Probability of choosing a walnut from the bag
P (walnut) = Quantity of walnuts/Total quantity of nuts in the bag= 1/3Probability of choosing a cashew from the bag
P (cashew) = Quantity of cashews/Total quantity of nuts in the bag= 1/3Probability of choosing either an almond, a walnut, or a cashew= P (almond) + P (walnut) + P (cashew) = 1/3 + 1/3 + 1/3= 1
Therefore, the probability that the nut is either an almond, a walnut, or a cashew is 1. Hence, option (d) is the correct answer.
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Define Complementary and Supplementary Angles.
Answer:
Complementary angles: the angles whose sum is 90° are called complementary angles.
Supplementary angles: the angles whose sum is 180° are called supplementary angles.
Step-by-step explanation:
hope it might help....
2
A normal die, numbered 1 to 6, is rolled 50 times.
The results are shown in the frequency table.
Score
Frequency
(b) Find the median score.
(a) Write down the modal score.
(c) Calculate the mean score.
(d) The die is then rolled another 10 times.
The mean score for the 60 rolls is 2.95.
Calculate the mean score for the extra 10 rolls.
The mean, median, mode and the mean of the extra ten rolls are
2.96,2.5,1 and 2.9 respectively
What is mean, median and mode of a frequency distribution?The mean represents the average of the dataset, the median represents the middle value of the data set, and the mode represents the repeated value in the dataset.
Using the given information we construct the following table
Score frequency Cumulative Frequency (frequency*score)
1 15 15 15
2 10 25 20
3 7 32 21
4 5 37 20
5 6 43 30
6 7 50 42
thus N= 50 (even) The Median is the average of the 25th and 26th observations. The 25th and 26th observations corresponds to the value 3.
The Median is = 2.5
The modal score = 1
Mode = 3×(median) – 2×(mean)
mean = 2.96
The mean score for the 60 roles is 2.95×60 = 148+sum of the extra ten
sum of the extra ten =29
Thus mean of the extra ten roles is
= 29/10
= 2.9
Hence the mean, median, mode and the mean of the extra ten rolls are
2.96,2.5,1 and 2.9 respectively
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This table shows the results of a survey that asked a group of people what time of day their favorite TV show aired. What time corresponds to the mode of this set of data? A. 8:00 P.M. B. 9:00 P.M. C. 10:00 P.M. D. 11:00 P.M.
Based on the table (see attachment), the time which corresponds to the mode of this data set is: B. 9:00 P.M.
What is mode?A mode simply refers to a statistical term that is used to denote the value that appears most often or occurs repeatedly in a given data set.
This ultimately implies that, a mode represents the value (number) with the highest frequency and this is 9:00 P.M with a frequency of 25.
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Answer: B 9:00
Step-by-step explanation:
Find the slope of the line in the figure. If the slope of the line is undefined, so state. Then write an equation of the given line. 1.)a.) the slope of the line is _ b.) the slope is undefined 2.) write the slope intercept form of the linear equation
This is a horizonal line going through y = 4.
Horizontal lines are of the form
\(y=a\)Where
a is a number
Slope is rise over run, or, the change in y divided by change in x.
No matter what the change in x is, the change in y is always zero (horizontal line). Thus, the slope is always 0 as well.
1.
The slope of the line is 0
2.
The slope intercept form is:
\(y=mx+b\)Since the slope is zero, m = 0 and y intercept (b) is 4, we have:
\(\begin{gathered} y=mx+b \\ y=(0)x+4 \\ y=4 \end{gathered}\)I need help on this and the first person who answer correctly gets a BRANLIST
Answer:
7 lbs. or option B.
Step-by-step explanation:
To figure out how much the chairs weigh to then divide them, you first need to subtract 36 from 92.
92 - 36 = 56
Now, we have to divide 56 by the number of chairs we have because we need to find out how much a single chair weighs.
56 ÷ 8 = 7
So, each chair weighs 7 lbs.
Answer:
B) 7 lbs
Step-by-step explanation:
To find how much the chairs weigh, you must subtract 36 from 92.
92 - 36 = 56
We have to divide 56 by 8 or the number of chairs.
56 ÷ 8 = 7
B) 7 lbs
Find the equation of the line determined by the given information.
10.m= 1; P = (-7, 0)
Answer:
y = x + 7
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = 1 and (a, b ) = (- 7, 0 ) , then
y - 0 = 1 (x - (- 7) ) , that is
y = 1 (x + 7) ← distribute by 1
y = x + 7 ← in slope- intercept form
Will give brainlyest and 12 points if get right
Which transformation was performed on PQRS to form P′Q′R′S′? (1 point)
a.
A dilation factor of 2
b.
A dilation factor of 4
c.
A dilation factor of 1 over 2
d.
A dilation factor of 1 over 4
The answer is a
this is because the shape increased in size by a factor of 2
Erin combined 1 17/18 pounds of peanuts with 1 5/6 pounds of M&M's to create trail mix, then evenly distributed the mix in 8 bags. how many pounds of trail mix are in each bag?
There are 17/36 pounds of trail mix in each bag.
Finding out how much pounds of trail mix are in each bagTo find out how many pounds of trail mix are in each bag,you need to first add the weight of the peanuts and M&M's together.
1\(\frac{17}{18}\) + 1 \(\frac{5}{6}\) =(\(\frac{35}{18}\)) +(\(\frac{11}{6}\)) = \(\frac{35+33}{18}\) =\(\frac{68}{18}\)
which can be simplified to 3 \(\frac{14}{18}\)
So there are 3 \(\frac{14}{18}\)pounds of trail mix altogether.
To find out how many pounds of trail mix are in each bag, you will divide the total weight of the trail mix by the number of bags.3 \(\frac{14}{18}\)÷ \(\frac{8}{1}\) =
\(\frac{68}{18}\) ÷ \(\frac{8}{1}\)=\(\frac{68}{144}\)
which can be simplified to \(\frac{17}{36}\)
So there are \(\frac{17}{36}\)pounds of trail mix in each bag.
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Can someone please help!!
Answer:
AB = 3 and AC = 4
Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal, that is
\(\frac{AB}{WX}\) = \(\frac{BC}{WY}\) , substitute values
\(\frac{AB}{30}\) = \(\frac{3}{30}\) ( cross- multiply )
30AB = 90 ( divide both sides by 30 )
AB = 3
and
\(\frac{AC}{XY}\) = \(\frac{BC}{WY}\) , substitute values
\(\frac{AC}{40}\) = \(\frac{3}{30}\) ( cross- multiply )
30AC = 120 ( divide both sides by 30 )
AC = 4
Answer:
AB = 3AC = 4Step-by-step explanation:
Let AB = xLet AC = yGiven
ΔWXY ~ ΔBAC
Therefore, the triangles are similar, so corresponding sides would be in the same ratio, so
WY/ BC = XW/AB
substitute WY = 30, BC = 3, XW = 30, AB = x
30 / 3 = 30 / x
x = [30 × 3] / [30]
x = 90 / 30
x = 3
Thus,
AB = 3
now
WY/ BC = XY/AC
substitute WY = 30, BC = 3, XY = 40, AC = y
30 / 3 = 40 / y
y = [40 × 3] / [30]
y = 120 / 30
y = 4
Thus,
AC = 4
Therefore,
AB = 3AC = 4A soccer ball was kicked into the air from the ground, tracing out a parabolic path. If you were given the equation and asked to find how long it took to reach the highest point, what parabolic element would you be trying to find?
Using quadratic equation concepts, we have that the element of interest is the vertex.
---------------------------------
A quadratic equation has the following format:
\(y = ax^2 + bx + c\)
When the ball is kicked, it is kicked from a height, then reaches it maximum height until it falls to the ground, so it is a concave down parabola, that is, \(a < 0\).
The time it took for the ball reach the maximum height is the x-value of the vertex, given by:
\(x_v = -\frac{b}{2a}\)
Thus, the element of interest is the vertex.
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i need help with this question
Answer:
726 ft
Step-by-step explanation:
The perimeter is the sum of the 4 sides, that is
x + x + 274 + x + 27 + x + 74 = 3279, that is
4x + 375 = 3279 ( subtract 375 from both sides )
4x = 2904 ( divide both sides by 4 )
x = 726
what is nominal data involved the use of variables that have been rank ordered?
Data can be divided on the basis of qualitative nature into two types as follows:
Nominal data - Nominal data is defined as a type of qualitative data where variables are grouped into categories. They do not follow any specific order. For example, people can be categorised according to their sex as male, female or transgender.Ordinal data - Ordinal data is defined as a type of data that can be divided into categories with following any kind of order, that is the data can be ranked.Thus, it is clear that nominal data can not be ranked or ordered but ordinal data are the type of qualitative data that are categorised and then ranked or ordered.
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5.21 +4.35 help me we
Answer:
Step-by-step explanation:
5.21+4.35=9.56
21+35=56
5+4=9
9.56
please help me with this answer it’s very confusing
Answer:
19
Step-by-step explanation:
1 centimeter is 10 millimeters
190 / 10 = 19
Carmen has 60 cupcakes in her bakery case.
• 1/2 of the cupcakes are chocolate.
• 1/4 of the cupcakes are strawberry.
• 1/10 of the cupcakes are banana.
• The rest of the cupcakes are vanilla.
How many cupcakes are vanilla?
A. 51
B. 17
C. 3
D. 9
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Triangle ABC is translated 5 units to the right and 4 units up to create triangle A' B'C'.
2.
B'
26
A
80
B
5
C
What is the measure of B?
Answer:
74°
Step-by-step explanation:
From the attached figure, translation only affects the length of the sides of the triangle :
From the figure :
We are given ;
A = 80° ; C = 26° ; B =?
Sum of angles in a triangle :
A + B + C = 180°
80° + B + 26° = 180°
106° + B = 180°
B = 180 - 106
B = 74°
a number,x, rounded to one decimal place is 3.7
what is the error interval for x
A number x is rounded to one decimal place is 3.7, the error interval for x would be [3.65, 3.75].
We must take into account a range of potential values that could round to 3.7 in order to calculate the error interval for the integer x that has been rounded to one decimal place as 3.7. As a general rule, when rounding to one decimal place, the value is increased by 1 and left unchanged if the digit immediately following the desired decimal place is 5 or above.
When x is rounded to 3.7 in this situation, the range of potential values is 3.65 (3.7 rounded down) to 3.75 (3.7 rounded up).
Therefore, [3.65, 3.75] would be the error interval for x. This indicates that the actual value of x may be any number falling within this range, and 3.7 would be the result if it were rounded to one decimal place.
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A number x rounded to one decimal place is 3.7. What is the error interval for x?
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the time spent waiting in the line is approximately normally distributed. the mean waiting time is 5 minutes and the variance of the waiting time is 1. find the probability that a person will wait for more than 6 minutes. round your answer to four decimal places.
There is a 30.85% chance that someone will have to wait longer than 6 minutes.
What is z score?Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
z = (raw score - mean) / standard deviation
So,
We can write,
Mean of 6 minutes and variance = 1 minutes, hence:
Standard deviation = √variance = √1 = 1 minutes
For > 6 minutes:
z = (6 - 5)/2 = 1/2=0.5
P(z > 0.5) = 1 - P(z < 0.5)
P(z > 0.5) = 1 - 0.6915
P(z > 0.5) = 0.3085
Therefore,
There is a 30.85% chance that someone will have to wait longer than 6 minutes.
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m = 2(x + n) Solve for n
Answer:
Hi! The answer to your question is \(n=m/2-x\)
Step-by-step explanation:
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Hope this helps!!
- Brooklynn Deka
Answer:
n= 1/2 m−x
Step-by-step explanation:
m=2(x+n)
Step 1: Flip the equation.
2n+2x=m
Step 2: Add -2x to both sides.
2n+2x+−2x=m+−2x
2n=m−2x
Step 3: Divide both sides by 2.
2n/2 = m−2x /2
n= 1/2 m−x
Hopes this helps
Gonzalez Manufacturing borrowed $24,000. Part of the money was borrowed at 12%, part at 14%, and part at 16%. The annual interest was $3400, and the fofal amount borrowed at 12% and 14% was twice the amount borrowed at 16%. Use Gauss-Jordan elanination to find the amount borrowed at each rate.
To solve the problem using Gauss-Jordan elimination, let's denote the amount borrowed at 12% as x, at 14% as y, and at 16% as z.
From the given information, we can set up the following system of equations:
1. x + y + z = 24000 (equation 1)
2. 0.12x + 0.14y + 0.16z = 3400 (equation 2)
3. x + y = 2z (equation 3)
We can rewrite equation 3 as x + y - 2z = 0.
Now, we can create an augmented matrix with the coefficients of the variables:
```
[1 1 1 | 24000]
[0.12 0.14 0.16 | 3400]
[1 1 -2 | 0 ]
```
Applying Gauss-Jordan elimination to the augmented matrix, we perform row operations to simplify and solve the system:
R2 = R2 - 0.12R1 (subtract 0.12 times row 1 from row 2)
R3 = R3 - R1 (subtract row 1 from row 3)
The augmented matrix becomes:
```
[1 1 1 | 24000 ]
[0 0.02 0.04 | 1000 ]
[0 0 -3 | -24000 ]
```
Next, we can perform row operations to further simplify the matrix:
R2 = R2 / 0.02 (divide row 2 by 0.02)
R3 = R3 / -3 (divide row 3 by -3)
The augmented matrix becomes:
```
[1 1 1 | 24000 ]
[0 1 2 | 50000 ]
[0 0 1 | 8000 ]
```
Now, we can continue with the Gauss-Jordan elimination:
R2 = R2 - 2R3 (subtract 2 times row 3 from row 2)
R1 = R1 - R3 (subtract row 3 from row 1)
The augmented matrix becomes:
```
[1 1 0 | 16000 ]
[0 1 0 | 34000 ]
[0 0 1 | 8000 ]
```
Finally, we perform row operations to obtain the identity matrix on the left side:
R1 = R1 - R2 (subtract row 2 from row 1)
R2 = R2 - R3 (subtract row 3 from row 2)
The augmented matrix becomes:
```
[1 0 0 | -18000]
[0 1 0 | 34000 ]
[0 0 1 | 8000 ]
```
From the final matrix, we can see that x = -18000, y = 34000, and z = 8000.
Therefore, the amount borrowed at 12% is $18,000, at 14% is $34,000, and at 16% is $8,000.
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Yo i kinda need help even if u can answer just one question
Answer:
the answer for line one for the sides ar DCB
Step-by-step explanation:
A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn
from the bag.
What is the approximate probability that exactly two of the five are blue?
O 1%
04%
O 36%
40%
Answer: The approximate probability that exactly two of the five are blue is 0.3641
Step-by-step explanation:
Find the area of
this irregular shape.
8 ft
6 ft
10 ft
18 ft
a = [?] ft²
HINT: Area of a triangle:
a bh+2
6 ft
8 ft
The area of the irregular shape is 84 ft square.
How to find the area of a trapezium?The diagram is a trapezium. A trapezium is a quadrilateral. Therefore, the area of the trapezium can be found as follows:
area of the trapezium = 1 / 2 (a + b)h
where
a and b are the basesh = height of the trapeziumTherefore,
a = 10 ft
b = 18 ft
c = 6 ft
area of the trapezium = 1 / 2 (10 + 18)6
area of the trapezium = 1 / 2 (28)6
area of the trapezium = 168 / 2
area of the trapezium = 84 ft²
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A rectangular photograph is 8 cm wide and 12 cm long. The photograph is enlarged by increasing the length and width byan equal amount in order to double its area. What are the dimensions of the new photograph?
a. 12 cm by 16 cm
b. 16 cm by 24 cm
C. 20 cm by 30 cm
d. 48 cm by 72 cm
Answer:
16 cm by 24 cm
Step-by-step explanation:
Well if you want an equal amount you will have to multiply both numbers by the same thing. I used 2 and 16 cm by 24 cm would be your answer.
The dimensions of the new photograph is b. 16 cm by 24 cm.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
A rectangular photograph is 8 cm wide and 12 cm long.
The original area is
8 x 12 = 96
The photograph is enlarged by increasing the length and width by an equal amount in order to double its area.
The new area is 96 x 2 = 192
So the dimensions are b. 16 cm by 24 cm.
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Ángel participa en una rifa de un automóvil comprando 4 boletos si se han vendido en total 4800 boletos ¿Cual es la probabilidad que tiene Ángel de ganar el automóvil?
Write the ratio as a fraction in simplest form.
1. 8 to 14
2. 36 even : 12 odd
3. 42 vanilla to 48 chocolate
Find the unit rate.
4. $2.50 for 5 ounces
5. 15 degrees in 2 hours
6. 183 miles in 3 hours
What is the answer to all these questions?
1. 4 to 7
2. 3 even : 1 odd
3. 6 vanilla to 8 chocolate
there were 425 guests at a hotel. 170 guests ordered food. what percentage of the guests ordered food?
Answer: 40%
Step-by-step explanation:
Take 170 divided by 425, then times 100% = 40%
So 40% of the guests ordered food!