Answer:
A
Step-by-step explanation:
(2,1) - only one in the table. Remember (x,y)
The probability of the stock market going up in a single day is 51%. What is the probability that the market will go up 4 consecutive days?
Answer:
\(Probability = 0.068\)
Step-by-step explanation:
Let P(S) represent the probability that stock market will go up in a day
Given
\(P(S) = 51\%\)
Required
Determine the probability that stock will go up 4 consecutive days
Start by converting P(S) from percentage to decimal
\(P(S) = 51\%\)
\(P(S) = \frac{51}{100}\)
\(P(S) = 0.51\)
The above expression represents the probability in a day;
For 4 days; we have:
\(Probability = P(S) * P(S) * P(S) * P(S)\)
\(Probability = (P(S))^4\)
Substitute 0.51 for P(S)
\(Probability = (0.51)^4\)
\(Probability = 0.06765201\)
\(Probability = 0.068\) -- Approximated
Hence, the probability that stock will rise for 4 consecutive days is 0.068
how did we get 136 degrees, explain
By using the definition of supplementary angles and the fact that the sum of the interior angles of a triangle always gives 180°, we will see that X° = 136°.
How to get the 136° of angle X°?First, notice that we have two isosceles triangles. By looking at the top angle, we can see that the interior angle of the top triangle and the angle of 101° are supplementary, then the measure of that angle is:
M = 180° -101° = 79°
Remember that the sum of the interior angles of a triangle is always equal to 180°, then for the top triangle we can write:
a + 79° + 79° = 180°
a = 180° - 2*79° = 22°
Where a si the angle of the bottom vertex, where the two triangles intersect.
Then the top angle of the bottom triangle also measures 22°.
Now, the two angles of the base of the bottom triangle measure 22°, and using again that the sum of the interior angles must give 180°, we will get:
22° + 22° + x° = 180°
x° = 180° - 2*22° = 136°
In this way, we conclude that the measure of angle X° is 136°.
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The length of a rectangle is 8 inches longer than 3 times its width. The area of the rectangle is 156 square inches.
What is the width of the rectangle?
The Answer:
Width = 6
Step-by-step explanation:
Let width be w
(3w + 8) x w = 156
3 \(w^{2}\) x 8n - 156 = 0
(w + 8 x 6) (w-6) = 0
w = 6
Need this answer please and show work
The value of the "trigonometric-expressions' are :
(a) tan(5π/2) is undefined,
(b) sec(315°) is √2.
Part(a) : The expression "tan(5π/2)" is undefined because the tangent function is undefined at odd multiples of π/2, which includes 5π/2.
Part(b) : To find the value of sec(315°), we use the identity: sec(θ) = 1/cos(θ),
First, we convert 315° to radians:
Which is : 315° = (7π/4) radians;
Next, we find the value of cos(7π/4):
⇒ cos(7π/4) = cos(π/4) = (√2)/2;
Finally, we substitute in the identity for sec(θ);
So, Sec(7π/4) = 1/cos(7π/4) = 1/[(√2)/2] = √2.
Therefore, value of sec(315°) is √2.
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The given question is incomplete, the complete question is
Find the value of the trigonometric expressions :
(a) tan(5π/2)
(b) sec(315°)
Please help!! (Don’t have to show work)
Answer:
2\( {2}^{(21) \div 20} \)c) Evaluate: 3√11x√2
Answer:
\(3\sqrt{22}\)
Step-by-step explanation:
The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)
Multiply
A large company event was held in a park on a hot day. Afterward, many of the employees got sick. Some blamed the potato salad. To investigate, a random sample of 20 sick employees and a random sample of 20 non-sick employees are selected. Each selected individual is asked if they ate the potato salad. The results are displayed in the table.
Management would like to know if there is convincing evidence that the distribution of responses about eating the potato salad differs for all employees who are sick versus those who are not sick. What are the appropriate hypotheses for this test?
H0: There is no difference in the distribution of responses among those who are and are not sick.
Ha: There is a difference in the distribution of responses among those who are and are not sick.
H0: There is a difference in the distribution of responses among those who are and are not sick.
Ha: There is no difference in the distribution of responses among those who are and are not sick.
H0: There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
Ha: There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
H0: There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
Ha: There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
The appropriate hypotheses for this test are: H0: There is no difference in the distribution of responses. Ha: There is a difference in the distribution of responses.
The chosen hypotheses are based on the objective of the investigation, which is to determine if there is convincing evidence that the distribution of responses about eating the potato salad differs between employees who are sick and those who are not sick.
The null hypothesis (H0) assumes that there is no difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This means that the proportion of employees who ate the potato salad would be the same in both groups, and any observed difference in the distribution of responses is due to random chance or factors unrelated to being sick or not sick.
On the other hand, the alternative hypothesis (Ha) proposes that there is a difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This suggests that the proportion of employees who ate the potato salad would be significantly different in the two groups, indicating a possible association between consuming the potato salad and getting sick.
By formulating these hypotheses, the investigation aims to evaluate whether the data provides convincing evidence to reject the null hypothesis in favor of the alternative hypothesis, indicating a meaningful relationship between eating the potato salad and falling sick.
Therefore, the correct answer is:
H0: There is no difference in the distribution of responses about eating the potato salad among those who are and are not sick.
Ha: There is a difference in the distribution of responses about eating the potato salad among those who are and are not sick.
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Last year, Rebecca received a grant of g dollars for school. This year she received $6000 plus five-months of last years amount
Answer:
whats the question there no question.
Step-by-step explanation:
This morning, Kendall drank a cup of coffee that had 95 milligrams of caffeine in it. She didn't have any more caffeine for the rest of the day. Kendall read online that the amount of caffeine in her body will decrease by approximately 13% each hour. Write an exponential equation in the form y=a(b)x that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee. Use whole numbers, decimals, or simplified fractions for the values of a and b. y = ____. To the nearest milligram, how much caffeine will be in Kendall's body after 12 hours?
An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is
The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.
What is an exponential function?In Mathematics, an exponential function can be modeled by using the following mathematical equation:
f(x) = a(b)^x
Where:
a represents the initial value or y-intercept.x represents time.b represents the rate of change.Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:
Rate of change (decay rate) = 100 - 13 = 87% = 0.87.
By substituting the parameters into the exponential equation, we have the following;
\(f(x) = 95(0.87)^x\)
When x = 12, we have;
\(f(12) = 95(0.87)^{12}\)
f(12) = 17.86 ≈ 18 milligrams.
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A sewing machine is usually $160 but is on sale for 55% off. What is the new price?
Answer:
88 dollars
Step-by-step explanation:
To make it easier, divide 160 by half (80) and find 5 percent of 160 which is 8. Math go brrr
100 Pts! PLS HELP ASAP!!!
Find the lateral area of this cone.
Leave your answer in terms of 7.
15cm
178 cm
LA = [ ? ]cm2
Answer:
I’m pretty sure it’s basexHeight
Step-by-step explanation:
But other than that... i don’t know
Please don’t report me... I’m sorry for the :( answer
Answer:
15x8= 120 Squared is 10.95445115010332
Step-by-step explanation:
What is the diameter
Answer:
From J to K is the diameter
Determine if the point (12, 20) is on the
graph of y = 2x – 5. Justify your answer.
Answer:
456[67]98
Step-by-step explanation:
Answer:
Step-by-step explanation:
for the point (12,20) to be on the graph the equation of the line has to be true.
y=2x-5 so is it true that
20= 2*12-5
20=19 false
so the point is not on the graph
The initial cost for producing a product is $1,200. The cost of producing each unit of the product is $5. The total cost is the sum of the initial cost and the cost per unit of the product times the number of units sold. What is the least number of units, x, that should be produced in order for the average total cost per unit to be $7 or less?
The least number of units, x, that should be produced in order for the average total cost per unit to be $7 or less is 600 units.
Average total costInitial cost = $1,200Cost of producing each unit = $5Number of units = xTotal cost = 1200 + 5x
Average total cost per unit = $7
Average total cost = Total cost / number of units
7 = (1200 + 5x) / x
cross product
7 × x = 1200 + 5x
7x = 1200 + 5x
7x - 5x = 1200
2x = 1200
x = 1200/2
x = 600 units
Therefore, the least number of units, x, that should be produced in order for the average total cost per unit to be $7 or less is 600 units
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can yall help please
Step-by-step explanation:
I think your answer will be 15
Solve the problem. Use the Central Limit Theorem. (7) 6) The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches
Answer:
The answer is "0.9192".
Step-by-step explanation:
\(\mu=109\\\\\sigma=10\\\\n=25\\\\\to P(\bar{x}< 111.8)=P(\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} < \frac{111.8-109}{\frac{10}{\sqrt{25}}})\\\\\)
\(=P(2<1.4)\\\\=\phi (1.4)\\\\=0.9192\)
The table below represents average food costs broken down by meal. If you
were planning a trip, how much should you budget for food costs per day?
Breakfast
Lunch
Dinner
$12.98
$18.95
$26.58
A. $20.00
B. $60.00
C. $80.00
D. $45.00
By taking the addition of the values in the table and overestimating a little bit, the correct option is B: $60.00
How much should you budget for food costs per day?Here we have the following table of average costs:
Breakfast $12.98Lunch $18.95Dinner $26.58Assuming you eat these 3 per day, the total cost in food per day is the sum of all the values in the table.
It gives:
Total cost: $12.98 + $18.95 + $26.58 = $48.51
Notice that these are average costs, so you should budget a little bit over that just in case, then the correct option is $60, which is the first option over the average total cost.
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Answer:
45
Step-by-step explanation:
Two jets leave an airbase at the same time and travel in opposite directions, One jet travels 71mi/h faster than the other. If two jets are 7014 miles apart after 6 hours what is the speed of each jet?
jet1 = 549 mi/h
jet2 = 620 mi/h
x= jet1
x + 71 = jet2
6 hours
6 * x
6 * x + 71
6x + 6x + 426 = 7014
12x = 7014 - 426
12x = 6588
x = 6588/12
x= 549
x + 71 = 620
wyzant
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Find legit BD
I need help for my assignment
Answer:
BD = 4
Step-by-step explanation:
∆BAD is congruent to ∆CAD based on the AAS Congruence Theorem.
Therefore:
BD = CD
3x + 1 = 5x - 1 (substitution)
Collect like terms
3x - 5x = -1 - 1
-2x = -2
Divide both sides by -2
x = -2/-2
x = 1
✔️BD = 3x + 1
Plug in the value of x
BD = 3(1) + 1
BD = 3 + 1
BD = 4
Find the polar coordinates of rectangular coordinates (-√2,1). Limit θ to the interval [0,2pi) and round 2 dceimal places if needed
The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.
To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:
r = √(x² + y²)
θ = tan^⁻1(y/x)
Plugging in the given values of (-√2,1), we get:
r = √((-√2)² + 1²) = √(2 + 1) = √3
θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians
Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:
θ ≈ 2.0344 + π ≈ 5.1779 radians
Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).
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What is the average rate of change for the function f(x)=4(2)x+3 over the interval 1≤x≤3?
Answer:
Step-by-step explanation:
these nutzzzzzz
The answer choices are either (5,3)(6,3) (5,5) or (6,5) please help this is due tomorrow !
Point C is located at (6,3).
Point Locations:
A: (1, 5)
B: (1, 3)
C: (6, 3)
D: (6, 5)
Please help me i really need help with this it's kinda confusioning to me.
Thanks
Answer:
Less than 3:
B
Between 3 and 4:
D, A, F
Greater than 4:
C, E,
Step-by-step explanation:
I'm going to assume that you already understand basic addition and subtraction.
The way to properly subtract and add mixed numbers or fractions with different denominators (The number at the bottom) is to try and transform them so that they have the same denominator. I'll do B since I personally believe that it's the most challenging.
For the transformation, the denominator of the transformed fractions should ideally be the lowest common multiple (LCM) of the two original denominators of the two fractions because it'll create a smaller number for a denominator and won't require simplification later. To guarantee a common denominator, we'll take the both of the fractions and multiply their numerator (The number at the top) and their denominator by the denominator of the other fraction.
3 * 3 2 * 5
_ - _
5 * 3 3 * 5
9 10
_ - _ = - 1/15
15 15
4 - 1 - 1/15 = 2 14/15
Verify the identity.
sin x/1-cos x = csc x + cot x
Answer:
See below for proof
Step-by-step explanation:
\(\displaystyle \frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{(1-\cos x)(1+\cos x)}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{\sin^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{1+\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\frac{1}{\sin x}+\frac{\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\csc x+\cot x\)
10 - V18
= a
= a + bv 2 , where a and b are integers.
12
What is A and what is B
Answer:
16 and 24
Step-by-step explanation:
uhmmmmmmmmmmmmm
The altitude of Mt. Everest is 884800cm. Find its height in meter
Answer:
8848 meters
Step-by-step explanation:
\(1 \: cm = 0.01\:m\\884800 = x \: m\\\\x = 884800\times 0.01\\\\x = 8848\:meters\)
Answer:
The meter is the international system unit of length, here there are some conversions:
1km = 1000 meters1 hm = 100 meters1 dam = 10 meters1 m = 10 dm1 m = 100 cm1m = 1000 mmSo we know 100 cm are equal to 1 meter and we have to pass the 884800 centimeters to meters.
If 1 meter is equal to 100 centimeters, to pass from meters to centimeters we multiply by 100 and from centimeters to meters we divide by 100.
In this case, we need to pass from cm to m, so we divide by 100 the altitude:
884800/100 = 8848 meters
Hellllllllllllllllllllllllllp
Answer:
\(\begin{cases}y=-5x+1\\y=5x-4 \end{cases}\)
Step-by-step explanation:
Slope-intercept form of a linear equation:
\(\boxed{y=mx+b}\)
where:
m is the slope.b is the y-intercept (where the line crosses the y-axis).Slope formula
\(\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}\)
Equation 1
Define two points on the line:
\(\textsf{Let }(x_1,y_1)=(-1, 6)\)\(\textsf{Let }(x_2,y_2)=(0, 1)\)Substitute the defined points into the slope formula:
\(\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5\)
From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.
Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:
\(y=-5x+1\)
Equation 2
Define two points on the line:
\(\textsf{Let }(x_1,y_1)=(1, 1)\)\(\textsf{Let }(x_2,y_2)=(0, -4)\)Substitute the defined points into the slope formula:
\(\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5\)
From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.
Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:
\(y=5x-4\)
Conclusion
Therefore, the system of linear equations shown by the graph is:
\(\begin{cases}y=-5x+1\\y=5x-4 \end{cases}\)
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Solve for x and graph the answer on a number line
2
The solution to the system of inequalities in interval notation is [-2, 1].
How to solve the system of inequalities?Based on the information provided in the image below, we have the following system of inequalities;
-12 < 3x - 6
-3 ≥ 3x - 6
By adding 6 to both sides of the equation (inequality), we have;
-12 < 3x - 6
-12 + 6 < 3x - 6 + 6
-6 < 3x
-2 < x
x > -2 (flip)
-3 ≥ 3x - 6
-3 + 6 ≥ 3x - 6 + 6
3 ≥ 3x
1 ≥ x
x ≤ 1
Therefore, the solution to the system of inequalities is given by:
-2 < x ≤ 1
In interval notation, we have [-2, 1].
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
A grocery store clerk has 16 oranges, 20 apples, and 24 pears. The clerk needs to put an equal number of apples, oranges, and pears into each basket. What is the greatest number of baskets that can be made so that no fruit is left?
Answer:
4 oranges, 5 apples, 6 pears in each bag
Step-by-step explanation:
theyre all divisible by 4