Answer:
b=42 ( base angles are equal)
a=24
then taking a as refrence angle
tan24=p/b
tan24=a/42
a= -89.66( but length cant be negative so )
a=89.66
at the ccny holiday party, you are told there are soft drinks in the cooler. the cooler contains 18 regular soft drinks and 12 diet soft drinks. suppose you quickly grab 3 soft drinks for you and your friends without looking. what is the probability you grab 2 diet soft drinks?
The Total Proability will be 297 / 1015
What is Probability?
Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
Solution:
Total Number of Regular Soft Drinks = 18
Total Number of Diet Soft Drinks = 12
Total Drinks = 18 + 12 = 30
Probability of selecting Diet Soft Drink in the first two attempt = 12/30 * 11/29 * 18/28 = 2376 / 24360
Probability of selecting Diet Soft Drink in the first and last attempt = 12/30 * 18/29 * 11/28 = 2376 / 24360
Probability of selecting Diet Soft Drink in the second and last attempt = 18/30 * 12/29 * 11/28 = 2376 / 24360
Total Probability = 3 * 2376 / 24360
Total Probability = 2376 / 8120
Total Probability = 297 / 1015
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The wake of a boat which is moving at constant speed keeps gettingwider after the boat passes. The wake is the same width as the boatwhen it first forms, and then it gets wider in proportion to the square root of the distance from the boat. If a 2-meter wide boat passes yourposition at 5 m/sec, which domain is appropriate for a function thatmodels the width of the wake, f(x), and the distance from the boat, x?a) all numbers greater than 2b) all rational numbers c) all positive numbers d) all numbers greater than 5
Since x it is the distance from the boat not from you, and the boat is a 2-meter wide, the distance must be greater than 0, because if any value of x is less than 0 the root could not be used for representing a real function, it would be a complex function due to the negative result. The answer is all positive numbers.
Government data assign a single cause for each death that occurs in the United States. (Thus, in government terminology, causes of death are mutually exclusive.) In a certain city, the data show that the probability is 0.37 that a randomly chosen death was due to cardiovascular (mainly heart) disease, and 0.25 that it was due to cancer. (a) The probability that a death was due either to cardiovascular disease or to cancer is __________. (b) The probability that the death was not due to either of these two causes is ____________.
Answer:
a) 0.62
b) 0.38
Step-by-step explanation:
a) 0.37+0.25
b) 1 - 0.37 - 0.25
the us senate has 100 members. if the senators consist of 85 men and 15 women, in how many ways can wepick a committee of 10 senators consisting of 5 men and 5 women
There are 788,872,812,500 ways to select a committee of 10 senators consisting of 5 men and 5 women.
We need to select 5 men out of 85 and 5 women out of 15, and then combine them to form a committee of 10. We can do this using the combination formula:
\(${{85}\choose{5}}$\) ways to select 5 men from 85, and\(${15\choose5}$\)ways to select 5 women from 15.
To form the committee, we need to combine these two groups of 5. We can do this by multiplying the number of ways to select each group:
\((855)⋅(155)=85!5!80!⋅15!5!10!=788872812500.( 585 )⋅( 515\)
)\(= 5!80!85! ⋅ 5!10!15! =788872812500.\)
Therefore, there are 788,872,812,500 ways to select a committee of 10 senators consisting of 5 men and 5 women.
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What is the circumference of the circle in terms of pi?
Radius = 7.8 in
O 7.8 in
O60.84x in
O 15.21 in
O 15.6 in
Answer:
7.8 in
Step-by-step explanation:
Evaluate the integral: S1 0 (-x³ - 2x² - x + 3)dx
The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12
An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.
To evaluate the integral:
\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)
We can integrate each term of the polynomial separately using the power rule of integration, which states that:
\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)
where C is the constant of integration.
So, we have:
\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)
Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):
\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)
Simplifying:
\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)
\($ = -\frac{1}{12} $\)
Therefore,
\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)
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Select the correct answer.
Which stock bar chart represents the stock data in the table?
Stock Z
April 4, 2018, Daily
Data
Open
Close
High
Low
Volume (M)
OA.
Price
13.54
13.51
13.65
13.41
50.00
13.71
13.66
13.61
Stock Z Chart
For each period, the stock price or trade volume is shown on the vertical axis. There are numerous chart types that can be employed in technical analysis.
What do stock bar charts show?A bar chart shows the open, high, low, and closing prices of a security or asset over a predetermined amount of time. A price bar's vertical line depicts the high and low prices for the specified time period. Each price bar's left and right horizontal lines stand in for the open and closing prices.
Bar graphs display the frequency counts of values for various levels of a nominal or categorical variable. Other statistics, including percentages, are occasionally displayed on bar charts. Figure 1 shows an illustration of a bar chart showing survey response data.
For each period, the stock price or trade volume is shown on the vertical axis. There are numerous chart types that can be employed in technical analysis.
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The complete question is "
jacknyrox18
05/19/2020
Chemistry
High School
answered
Look at the chart showing the daily stock data for WebTrend Inc.’s stock over the past month, and read this stock analyst’s view of the stock:
Stock analyst: There is a downward trend of the data with the peak price achieved on March 13. Investors are interested in WebTrend Inc. as demonstrated by the increase in trading volume.
Which statement is a fair conclusion based on the chart and the analyst’s comments about the WebTrend stock?
A.
The stock price increased and volume decreased on April 3.
B.
One month is not enough time to determine whether the price is at a low.
C.
The price has been falling, so an investor can assume it will begin to rise again soon.
D.
When the price change is negative for the day, an investor can assume the trading volume will decrease.
"
What are the boundaries of the class 1.87-3.43? 3). A) 1.87-3.43 B) 1.82-3.48 C) 1.879-3.439 D) 1.865-3.435
The boundaries of the class 1.87-3.43 are D) 1.865-3.435. The lower boundary is 1.865 and the upper boundary is 3.435.
The boundaries of the class 1.87-3.43 can be determined by subtracting and adding half of the smallest possible unit of measurement to the given class limits. In this case, since the given class limits are 1.87 and 3.43, we need to find the boundaries by subtracting and adding half of the smallest possible unit of measurement.
Let's assume the smallest possible unit of measurement is 0.01.
To find the lower boundary:
Lower Boundary = Lower Limit - (0.01/2)
Lower Boundary = 1.87 - 0.005
Lower Boundary = 1.865
To find the upper boundary:
Upper Boundary = Upper Limit + (0.01/2)
Upper Boundary = 3.43 + 0.005
Upper Boundary = 3.435
Therefore, the boundaries of the class 1.87-3.43 are:
D) 1.865-3.435
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Based on the cone shown, which statements are correct?
A)
B)
If the volume is 47 cm”, then the height of the cone is approximately 5 cm.
If the height is 10 cm, then the volume of the cone is approximately 74
cm?
If the height is 20 cm, then the volume of the cone is approximately 289
cm?
The equation v = {1x3)?h can be used to find the volume of the cone.
C)
D)
E)
The equation -
3V
7(3)
can be used to find the height of the cone.
Answer:
A,c,d
Step-by-step explanation:
The solution is Option A.
If the volume is 47 cm³ , then the height of the cone is approximately 5 cm and volume of cone is given by ( 1/3 ) πr²h
What is a Cone?
A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the center of base) called the apex or vertex.
The volume of a cone is given by the equation
Volume of Cone = ( 1/3 ) πr²h
where r is the radius of the cone
h is the height of the cone
Given data ,
Let the radius of the cone be = r
Now , the value of r = 3 cm
So , the equation will be
The volume of the cone is given by the formula ,
Volume of Cone = ( 1/3 ) πr²h
where r is the radius of the cone
h is the height of the cone
a)
If the volume is 47 cm³, then the height of the cone is approximately 5 cm
So , substitute the values in the equation , we get
Volume of Cone = 47 cm³
So ,
( 1/3 ) πr²h = 47 cm³
Radius of cone r = 3 cm
Height of cone h = 5 cm
( 1/3 ) πr²h = 47 cm³
( 1/3 ) x 3.14 x 3 x 3 x 5 = 47
3.14 x 15 = 47
47 = 47
Therefore , the solution is true
Hence , If the volume is 47 cm³, then the height of the cone is approximately 5 cm and the volume of cone is given by ( 1/3 ) πr²h
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What is the slope of the line that
passes through these two points?
(-3, 1)
(3, 3)
slope =
Answer: M=1/3
Step-by-step explanation: We know how to find the slope by using the formula: y2-y1/x2-x1
Then we get 3-1/3--3=2/6=
1/3
Your grocery bill before taxe wa $265. 24. You have to pay 7. 3 ale tax. How much i your grocery bill?
If the grocery bill before tax is $265.24 and you have to pay 7.3% tax, then he has to pay $284.6 for the grocery bill
The amount of the grocery bill before tax = $265.24
The percentage of tax = 7.3%
The amount of tax = The price of the grocery bill before tax × (7.3/100)
Substitute the values in the equation
= 265.24 × (7.3/100)
= 265.24 × 0.073
= $19.36
The final bill including tax = The price of the grocery bill before tax + The amount of tax
Substitute the values in the equation
= 265.24 + 19.36
= $284.6
Therefore, the grocery bill including tax = $284.6
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(5x-3)(6+x)=0
Hi I can't solve this could someone pls help me? ill give brainliest
Answer:
I think answer is 6X-18=0.
Step-by-step explanation:
(5X-3) (6+X)=05X-3*6+X=05X+X-3*6=06X-18=0Answer:
Either, x=3/5 or, x=-6
Step-by-step explanation:
(5x-3)(6+x)=0
Either,
5x-3=0
5x=3
x=3/5
Or,
6+x=0
x=-6
two step equation
The sum of three consecutive even numbers is one hundred forty - four. What is the smallest of the three numbers?
In the diagram below of triangle MNOP, P is the midpoint of MO and Q is the midpoint of NO. If PQ=5x+62 and MN=6x-4, what is the measure of PQ
The measure of length PQ will be 22 units.
What is the mid-point theorem?A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.
Given:
PQ = 5x + 62, and MN = 6x-4
Now, using Mid- Point Theorem
PQ= 1/2 MN
-5x+ 62 = 1/2( 6x - 4)
-5x+ 62 = 3x - 2
-5x- 3x = -2 - 62
-8x = -64
x= 8
PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22
Hence, the measure of PQ is 22 units.
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What is the value of n?
Enter your answer in the box
7 cm
4 cm
8 cm
n
Answer:
n=14
Step-by-step explanation:
To find the length of the given side with length "n", we must know the relationship between the different sections when the chords cross one another.
Now, the relationship we require is that when we multiply the 2 parts of both chords together, it will be equal to the product of the two sides in the other chord. Thus;
7(8) = 4(n)
56 = 4n
14 = n
Not p has a truth value of 1 minus p. P logical and q has a truth value equal to the minimum of p and q. P logical or q has a truth value equal to the maximum of p and q. P right arrow q has a truth value equal to the min of 1 and 1 minus p plus q. P left right arrow q has a truth value equal to 1 minus StartAbsoluteValue p minus q EndAbsoluteValue. Suppose the statement "p: The sun is shining" has a truth value of 0.57 and the statement "q: Mary is getting a tan" has a truth value of 0.08. Find the truth value of
yes jxjfnsuspfjidheagdkhrsojieeidhj
Which expression represents how many years are in X months
Answer:
12 months is one year so the expression is:
Step-by-step explanation:
2year = 2(X)
so you know one year 12 months you can put 12 on the x value
2 years = 2(12)
2 years = 24 months
What is the gradient of a line perpendicular to a line with a gradient of 2?
Answer:
- 1/2
Step-by-step explanation:
Slope, m , is the sama as 'gradient'....
if slope of one line is m, the perpindicular is -1/m
2 then perpindicular = - 1/2
\(\Large\texttt{Answer\::}\)
-1/2
\(\Large\texttt{Calculations\::}\)
If lines are perpendicular to each other , their gradients are opposite reciprocals of each other .
In order to find the opposite reciprocal of a number , we should change it's sign and turn it over as follows :
2 --> -2 --> \(-\displaystyle\frac{1}{2}\)
So the gradient of the line perpendicular to the line with a gradient of 2 is -1/2.
\(\footnotesize\texttt{hope\:helpful~}\)
i need help, how do you do this
Answer: So you are going to make an equation first.
Step-by-step explanation:
first we know that for the first 2 hours the snow fell at an inch an hour. so we are going to make our first plots ( I suggest using an online site like geogebra or desmos to start out with before plotting for your assingment)
our first plot is going to be at (1,1) or 1 over and 1 up. remember points are in the form of (x,y). then (2,2)
Now we see that it has changed now there is no new snow for 6 hours so you are going to have a flat line so its going to be (2,2) then its going to continue that way as (3,2),(4,2), (5,2) (6,2)(7,2)(8,2).
It starts snowing again and now we have a new thing to plot the snow is falling at a constant of 3 inches an hour for the next 5 hours so now we are going to plot hte points to get our points we are going add 3 inches to our current inches each new hour. so its going to be (9,(2+3)) which is (9,5) and continue on doing that so we will have the plots (10,8) (11,11) (12,14) (13,17). and now we connect our plots by creating segments so then you do that on your thing and youre set to go I hope this helps.
1. 1 tea bag can brew 180 ml of tea. A box of tea bags come with 24 teabags. How much tea (measured in L) can be made with a box of tea bags?
2. It was a hot summer when Jem dug 4.5 meters deep into the soil for a well for his farm. There was no flowing water, so he dug 120 cm deeper until water flowed. After 2 days, the water in the well was 230 cm deep. How deep down did Jem dig in all (meters)? What part of the well was not filled with water?
Plz ans quickly
We have two problems with change of units.
1) 4.32 liters of tea.2) The well has a profundity of 5.7 meters, and there are 3.4 meters that are not filled with water.First problem:
Here we know that with one tea bag we can make 180 ml of tea, rewriting this in liters, we need to use that:
1 ml = 10^-3 L
180 ml = 180*(10^-3 L) = 0.18 L
Now we also know that in one box we have 24 teabags, the total amount of tea that we can make is:
24*0.18 L = 4.32 L
Second problem:
First, he dug 4,5 meters, and then he dugs another 120cm.
Using that:
1m = 100cm
We can rewrite:
120 cm = (120/100) m = 1.2m
Then the total amount that he dug is:
4.5m + 1.2m = 5.7m
Then we know that the water in the hole is 230cm deep, writing this in meters we have:
230 cm = 230/100 m = 2.3m
Then the part of the well that is not filled with water is given by:
5.7 m - 2.3m = 3.4m
This means that 3.4 meters of the well are not filled with water.
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HELP !! Answer the questions shown
For a function to be continuous at an x-value of -3 you need to make sure two things line up:
First, we need to show that the limit from the left equals the limit from the right.
\(\lim_{x \to -3^{-}} f(x) = \lim_{x \to -3^{+}} f(x)\)
Second, we need to show that this limit equals the functions value.
\(\lim_{x \to -3} f(x) = f(-3)\)
The left hand limit involves the first piece, f(x) = x^2 - 9:
\(\begin{aligned} \lim_{x \to -3^{-}} f(x) &= \lim_{x \to -3^{-}} (x^2-9)\\[0.5em]&= (-3)^2-9\\[0.5em]&= 0\endaligned}\)
The right hand limit invovles the second piece, f(x) = 0:
\(\begin{aligned} \lim_{x \to -3^{+}} f(x) &= \lim_{x \to -3^{+}} (0)\\[0.5em]&= 0\endaligned}\)
Since the two one-sided limits do match, we can just say:
\(\lim_{x \to -3} f(x) = 0\)
(no one-sided pieces needed now)
So that was step #1, to make sure the limit exists. Next we need to make sure the limit is headed to the same place where the functions. Since we're using x=-3, we'll use the top piece of the function because x=-3 fits with that piece ( x ≤ -3 ).
\(f(-3) = (-3)^2-9 = 0\)
From this, we know that \(\lim_{x \to -3} f(x) = f(-3)\), so the function is continuous at -3. (We also know parabolas and lines are continuous in general, so we only needed to check where the two pieces came together at x = -3.)
If VW = -s + 86, UX = s, and YZ = 2s 35, what is the value of
s?
By using the property of trapezium, it can be calculated that
Value of s is 51
What is a trapezium?
Trapezium is a four sided figure whose one pair of opposite sides are non parallel and other pair of opposite sides are parallel.
We know that the line joining the midpoints of two sides of a trapezium is parallel to the parallel sides and half of the sum of parallel sides.
VW = -s + 86, UX = s, and YZ = 2s - 35,
\(UX = \frac{1}{2}(VW + ZY)\)
\(s = \frac{1}{2}(-s + 86 + 2s - 35)\\2s = s + 51\\2s - s = 51\\s = 51\)
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write the ratio in the simplest form 40kg : 480g
Answer: 1kg : 12g
Step-by-step explanation: Ratio in the simplest form is to divide both numbers by the greatest factor.
40 divided by 40 is 1
480 divided by 40 is 12
The answer is 1 kg : 12g
A sphere has a radius of 9 feet. A second sphere has a radius of 6 feet. What is the difference of the volumes of the spheres? The volume of the larger sphere is π cubic feet greater than the volume of the smaller sphere.
Answer:
684 π
Step-by-step explanation:
volume of a sphere = (4/3) x (n) x (r^3)
n = 22/7
r = radius
volume of larger sphere
4/3 x n x 9³ = 972 n
4/3 x n x 6³ =288n
972n - 288n = 684n
A triangle is graphed on a coordinate grid and then translated 10 units
to the left and 5 units up. If one of the vertices of the original triangle
is located at (-2,-7), what is the ordered pair of this vertex of the new
triangle after the translation?
Answer:
(-12, -2)
Step-by-step explanation:
We need to subtract 10 from the x coordinate and add 5 to the y coordinate.
suppose that diastolic blood pressure readings of adult males have a bell-shaped distribution with a mean of 7979 mmhg and a standard deviation of 88 mmhg. using the empirical rule, what percentage of adult males have diastolic blood pressure readings that are between 7171 mmhg and 8787 mmhg?
95% of adult males have diastolic blood pressure readings that are at least 71 and 87 mmHg
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 79 mmHg and the standard deviation is 88 mmHg.
2 standard deviations = 2 × 88 = 167
82 + 20 = 102 mmHg
Therefore, 95% of adult males have diastolic blood pressure readings that are at least 102 mmHg.
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Find the area of a regular hexagon
with a side length of 4 cm and an
apothem of approximately 3.5 cm.
please see the attached picture for full solution
hope it helps...
Good luck on your assignment....
Armando has $25 to spend. he wants to buy 2 pounds of hamburgers at $3 per pound, a bag of buns for $2, and 5 bags of chips for $4 each. Sort each statement into True or False.
Answer:
True- She needs $3 more. She will not have enough money to buy everything. The cost is $28.
False- She has $3 left over.
Step-by-step explanation:
2 pounds of burgers for $3 each is $6
1 bag o bun equals $2
5 bags of chips for $4 each is $20
$20 + $6 +$2 = $28
She only had $25 to spent, so she doesn't have enough money and needs to 3 more dollars.
A fair spinner has 11 equal sections: 4 red, 4 blue and 3 green.
It is spun twice.
What is the probability of getting 2 different colours?
Solve the simultaneous equations.
x + 2y = 9
5x – y = – 10
Answer:
(- 1, 5 )
Step-by-step explanation:
Given the 2 equations
x + 2y = 9 → (1)
5x - y = - 10 → (2)
Multiplying (2) by 2 and adding to (1) will eliminate the y- term
10x - 2y = - 20 → (3)
Add (1) and (3) term by term to eliminate y
11x + 0 = - 11
11x = - 11 ( divide both sides by 11 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (1)
- 1 + 2y = 9 ( add 1 to both sides )
2y = 10 ( divide both sides by 2 )
y = 5
solution is (- 1, 5 )
x + 2y = 9 x + 2y = 9
=====》
5x - y = - 10 (×2) 10x - 2y = - 20
+____________
11x + 0 = - 11
11x = - 11
x = - 1
Thus :
- 1 + 2y = 9
Add both sides 1
2y - 1 + 1 = 9 + 1
2y = 10
Divide both sides by 2
2y ÷ 2 = 10 ÷ 2
y = 5
_____________________________
x = - 1 & y = 5