Answer:
Step-by-step explanation:
sin55/x=sin90/6
x=4.9(correct to the nearest tenth)
Answer:
about 4.91
Step-by-step explanation:
soh-cah-toa
with relation to the 35 degree angle we are looking for adjacent and have hypotenuse, thus we can use cos = adj/hyp to find the missing side
\( \cos(35) = \frac{x}{6} \)
\(6 \times \cos(35) = x\)
x = about 4.91
4. A cone has a diameter of 6 inches and a height of 6 inches. Find the volume of the cone to the nearest tenth.
Use 3.14 for
a 6.7 in.'
c. 56.5 in.
b. 26.2 in.
d. 91.5 in.
Answer:
56.5 in^2
Step-by-step explanation:
The volume of a cone is π\(r^{2}\)h/3. The radius is d/2=6/2=3
V=(3.14 x \(3^{2}\) x 6)/3
=(3.14 x 54)/3
=169.56/3
=56.52
the qualified applicant pool for five management trainee positions consists of nine women and six men. (a) how many different groups of applicants can be selected for the positions? (b) how many different groups of trainees would consist entirely of women? (c) probability extension: if the applicants are equally qualified and the trainee positions are selected by drawing the names at random so that all groups of five are equally likely, what is the probability that the trainee class will consist entirely of women? (round your answer to four decimal places.)
The selection chances and the required probability for 9 women and 6 men is given by ,
Different groups of applicants selection = 3003
Selection of trainee entirely of women = 126
Probability of selection of entirely women from 15 people = 4.19%
Total number of women = 9
Total number of men = 6
Total = 9 + 6
= 15
The total number of groups of applicants that can be selected for the positions can be calculated using the combination formula,
nCr = n! / r!(n-r)!
where n is the total number of applicants (15),
And r is the number of positions to be filled (5).
Number of different groups of applicants that can be selected for the positions is,
15C5
= (15! )/(15-5)!5!
=(15! )/(10)!5!
= 3003
Number of different groups of trainees that consist entirely of women can be calculated by selecting 5 women from the 9 available,
9C5
= (9! )/(9-5)!5!
=(9! )/(4)!5!
= 126
Probability of selecting a group of five trainees ,
Consist entirely of women can be calculated by dividing the number of different groups of all-women trainees (126) by the total number of different groups of trainees (3003),
Required probability
= 126/3003
≈ 0.0419
Probability that the trainee class will consist entirely of women is approximately 0.0419, or 4.19% (rounded to four decimal places).
Therefore, for a group of 15 people,
Selection of different groups of people = 3003
Selection of trainee represents entirely women =126
probability of selecting entirely women = 4.19%
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How many different 2-digit ID numbers can be made if each ID number can use the numbers 1 through 8 and no digits may be repeated?
Answer:1,2,5,7,8 and 9. Thus, we have 6 numbers.
Step-by-step explanation:Then we want to form two-digit numbers without repetition. There are 6 number that is possible to occupy first digit, right? 1,2,5,7,8 or 9. Because it’s without repetition, so the number that have been filled the first digit cannot be the second digit. Thus, the numbers that possible to occupy second place are 5 digits.So step by step
what is the difference between a convex set and a convex function with respect to linear programming?
A real-valued function defined on an interval with the property that its epigraph—the collection of points on or above the function's graph—is a convex set—is said to be convex. The challenge of minimizing convex functions over convex sets is the subject of the optimization discipline known as convex minimization.
What is linear programming?A mathematical model whose needs are expressed by linear connections can be optimized using a technique known as linear programming. A particular type of mathematical programming is linear programming. When a linear function is subjected to various constraints, it is maximized or minimized using the mathematical modeling technique known as linear programming. In business planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.
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Consider the market for caramel and butterscotch ice cream toppings. For each price change, identify the likely effect on the demand curve for caramel topping.
Drag each item on the left to its matching item on the right.
The demand for caramel topping will decrease.
The demand for caramel topping will increase.
The demand curve for caramel topping will remain the same.
The price of butterscotch topping increases.SELECT A LABELThe demand for caramel topping will decrease.The demand for caramel topping will increase.The demand curve for caramel topping will remain the same.
The price of caramel topping decreases.SELECT A LABELThe demand for caramel topping will decrease.The demand for caramel topping will increase.The demand curve for caramel topping will remain the same.
The price of ice cream increases.SELECT A LABELThe demand for caramel topping will decrease.The demand for caramel topping will increase.The demand curve for caramel topping will remain the same.
The caramel topping demand curve will not change:
The cost of caramel topping is falling; there will be an increase in demand for caramel topping:
Butterscotch topping costs more money;
There will be less demand for caramel topping:
Ice cream now costs more money.
Description of the curveThe quantity of caramel topping demanded would increase if the price of the topping dropped. Consequently, the demand curve for caramel topping would go lower.
Ice cream and caramel toppings are complementary products.
Products that are consumed together are said to be complementary.
The amount of ice cream demanded would drop if the price went up. There would be a drop in the number of caramel toppings needed as a result of the fall in demand.
a decline in the popularity of caramel toppings. With less demand, the demand curve for caramel toppings would move inward.
Butterscotch and caramel ice cream toppings serve as stand-ins.
Products that can be used in place of one another are known as substitute goods.
The quantity demanded for butterscotch topping would decline if the price of butterscotch topping rose, making it more expensive overall. Customers might switch to caramel topping. As a result, demand for caramel topping would rise and the demand curve would move outward.
Demand curve: what is it?
The demand curve is a graphical representation of how the cost of an item or service relates to how much is demanded over a given period of time.
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assume that x and y are independent. what are the expected value and the standard deviation of the points per game for the player?
The expected value and the standard deviation of the points per game for the player is -6.5 and 65.43 respectively.
Given:
In a certain computer card game, the player is awarded 5 points for each card that is moved to a correct position. The player is penalized 10 points for each minute the game is played. Let the random variable X represent the number of cards moved to a correct position, and let the random variable Y represent the number of minutes the game is played.
From the given table:
E ( X ) = 9.5 * 5 points
= 47.5
E ( Y ) = 5.4 * - 10
= -54
E ( X + Y ) = 47.5 + ( -54 )
= 47.5 - 54
= -6.5
SD ( X ) = 12.5 * 5
= 64.5
SD ( Y ) = - 11
SD ( X + Y ) = \(\sqrt{64.5^2 + (-11)^2}\)
= 65.43
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Full question:
Is in the image uploaded.
The coefficient in the term ½ f is
The correct Answer is 1/2
someone please help!!
Answer:
c. the circumference is equal to 2 * pi * 11.7
73.51
d. r= c/2pi
help asap if you can pls an thank u!!!!!!!
The value of angle S is 53°
What is exterior angle theorem?Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.
With this theorem we can say that
7x+2 = 4x+13+19
collecting like terms
7x -4x = 13+19-2
3x = 30
divide both sides by 3
x = 30/3
x = 10
Since x = 10
angle S = 4x+13
angle S = 4(10) +13
= 40+13
= 53°
Therefore the measure of angle S is 53°
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2. One candle, in the shape of a right circular cylinder, has a
height of 7.5 inches and a radius of 2 inches. What is the
volume of the candle? Show your work and round your
answer to the nearest cubic inch.
Use 3.14 for pi
The volume of the candle is approximately 94 cubic inches.
What is circular cylinder?
A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.
The volume of a right circular cylinder is given by the formula:
V = πr²h
Where
V is the volumer is the radiush is the heightSubstituting the given values into the formula, we get:
V = 3.14 x 2² x 7.5
V = 3.14 x 4 x 7.5
V = 94.2
Rounding to the nearest cubic inch, we get:
V ≈ 94 cubic inches
Therefore, the volume of the candle is approximately 94 cubic inches.
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Expression value intuition
What happens to the value of the
expression as d increases from a small
10
d
positive number to a large positive
number? Math
'd' increases from a small positive number to a large positive number the expression decreases.
Define fractionA fraction is a measure of a ratio between two numbers or a portion of an entire.
As the value of 'd' increases from a small positive number to a large positive number, the value of the expression 10/d decreases. This is because as 'd' gets larger, the denominator of the fraction gets larger, which causes the overall value of the fraction to decrease.
For example, let's say 'd' starts at 1. If we plug in 'd' into the expression 10/d, we get:
10/1 = 10
Now, let's increase 'd' to 10:
10/10 = 1
As you can see, as 'd' increased from 1 to 10, the value of the expression 10/d decreased from 10 to 1. If we continue to increase 'd' to 100, 1000, or even larger numbers, the value of the expression 10/d will continue to decrease.
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please help i cant figure out the accurate answer i beg and i will mark brainlist
Answer:
D
Step-by-step explanation:
50-40=10
8-39=-31
-31/10=-3.1
So the answer is D.
Hope this helped! :)
.......Evaluate | 7 | = ?
Answer:
7
Step-by-step explanation:
absolute value of 7 is 7
On a number line, the ordinate of point K is 25 and the ordinate of point D is -84. What is the length of KD
=======================================================
Explanation:
Draw out a number line. Plot point D at -84 and K at 25. Plot a third point, say point A, at 0.
From D to A is 84 units
From A to K is 25 units
Those two distances add to 84+25 = 109 units total, which is the distance from K to D on a number line. This is the same as the length of segment KD.
-----------
You could also show your steps like this
|D - K| = |-84 - 25| = |-109| = 109
The absolute value is to ensure the result is never negative.
The D and K can swap like so
|K - D| = |25 - (-84)| = |25+84| = |109| = 109
Either way we get the same distance.
n a previous poll, 32% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. suppose that, in a more recent poll, 1089 adults with children under the age of 18 were selected at random, and 325 of those 1089 adults reported that their family ate dinner together seven nights a week. is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? test at an alpha of 0.01 significance level. what is the test statistic, z0 ?
There is not sufficient evidence to conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased.
To determine if there is sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased, we can use a hypothesis test.
Let p be the true proportion of families who eat dinner together seven nights a week. Our null hypothesis is that there has been no decrease in the proportion of families who eat dinner together seven nights a week:
H0: p = 0.32
Our alternative hypothesis is that the proportion has decreased:
Ha: p < 0.32
We will use a one-tailed z-test with an alpha level of 0.01.
First, we need to calculate the sample proportion, P:
P = 325/1089 ≈ 0.298
Next, we can calculate the test statistic, z0:
z0 = (P - p) / sqrt(p(1-p)/n)
where n is the sample size.
z0 = (0.298 - 0.32) / sqrt(0.32(1-0.32)/1089) ≈ -2.32
Finally, we can compare the test statistic to the critical value for a one-tailed z-test at an alpha level of 0.01. The critical value is -2.33. Since -2.32 is greater than -2.33, we fail to reject the null hypothesis.
Therefore, there is not sufficient evidence to conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased.
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Help me please!! for 50 points
Answer:
it would be 4 (Answer B)
Step-by-step explanation:
29 divided by 6, 6 goes into 29 4 times which is 24.
6 x 4 = 24
29 - 24 = 5
So, 4 r5.
Answer:
A. C
Step-by-step explanation:
Part A:
Juice bottles ÷ Cooler = 29 ÷ 6 = 4.83
It would take 4.83 coolers to hold all the juices in the bottle, but now, we know that we can't divide a cooler to have "4.83" coolers, that means we have to round up to the next integer which would be 5.
She will need 5 coolers
Part B:
4 with 0.83
or
4 with 5
Which of the following functions matches this graph?
Answer:
a. y=x^2
Step-by-step explanation:
desmos graphing calculator
What is the family-wise error rate (FWER) and how can you
control for it using the Bonferroni procedure when conducting a
post hoc test for a significant one-way ANOVA?
The family-wise error rate (FWER) refers to the probability of making at least one Type I error when conducting multiple statistical tests simultaneously. To control for the FWER, the Bonferroni procedure can be used during post hoc tests following a significant one-way ANOVA.
When conducting multiple statistical tests, such as post hoc tests after a significant one-way ANOVA, the chances of making a Type I error (rejecting a true null hypothesis) increase. The FWER is the probability of making at least one Type I erroramong all the conducted tests. To control for the FWER, adjustments need to be made to the significance level of each individual test.
The Bonferroni procedure is a widely used method to control the FWER. It adjusts the significance level by dividing it by the number of tests being conducted. For example, if the significance level is set at α, and there are k post hoc tests, the adjusted significance level for each test would be α/k. This adjustment reduces the probability of making a Type I error across all tests to a desired level.
By controlling the FWER using the Bonferroni procedure, researchers can ensure that the overall probability of making a Type I error remains below a predetermined threshold, maintaining the integrity of the statistical analysis when conducting multiple comparisons.
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PLEASE HELP FAST. ILL GIVE YOU BRAINLIEST. 10 POINTS
Answer:
127°
Step-by-step explanation:
First, add everything together.
112 + 133 + 128 + 100 + 120 = 593
Then. subtract 720 - 593
720 - 593 = 127
So, the missing angle is 127°
Have a great day!
Answer:
127°
Step-by-step explanation:
First, add everything together.
112 + 133 + 128 + 100 + 120 = 593
Then. subtract 720 - 593
720 - 593 = 127
So, the missing angle is 127°
Hope this helps you out
4.if a man has six different sportshirts and four different pairs of slacks, how many different combinations can he wear?
The man can wear 15 different outfit combinations by mixing and matching his six different sport shirts and four different pairs of slacks.
Combination is a way of counting the number of different groups of items that can be selected from a larger set without regard to the order in which they are selected.
In this case, the man has six different sport shirts and four different pairs of slacks, and he wants to know how many different outfit combinations he can wear. We can use the formula for combinations to calculate the number of possibilities.
The formula for combinations is:
ⁿCₓ = n! / (x! * (n - x)!)
Where n is the total number of items, x is the number of items being selected, and the exclamation mark (!) represents the factorial of a number (i.e., the product of all positive integers up to that number).
Using this formula, we can calculate the number of different combinations the man can wear as follows:
Number of sport shirts (n) = 6
Number of slacks (x) = 4
Number of combinations = ⁶C₄ = 6! / (4! * (6 - 4)!)
= (6 * 5 * 4 * 3 * 2 * 1) / [(4 * 3 * 2 * 1) * (2 * 1)]
= 15
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Estimate the solution to the system of equations.
Y = = -2.3 – 5
y = 2x – 2
Answer:
y = -2.65
Step-by-step explanation:
2y-2 = -2.3 + 5
2y-2 = -7.3
2y = -7.3+2
2y = -5.3
y = -5.3÷2
y = -2.65
Answer: i dont know sorry
Step-by-step explanation:
(3+5i)(5+7i)
Solve by multiplying complex numbers
Answer:
-20 + 46i
Step-by-step explanation:
(3 + 5i) (5 + 7i)
= (3 × 5 - 5 × 7) + (3 × 7 + 5 × 5) i
= (-20) + (46) i
= -20 + 46i
Answer:
\((3 + 5i)(5 + 7i) \in \: \C \\ = 15 + 21i + 25i - 35 \\ = - 20 + 46i \\ = 2( - 10 + 23i)\)
the high school dropout rate in the united states is greater than 25 percent. c. wright mills would classify this situation as
The high school dropout rate in the United States is greater than 25 percent. C. Wright Mills would classify this situation as a societal issue.
This is because societal issues are matters of public concern that affect large numbers of people and require collective action to resolve. The high school dropout rate in the United States is an example of a societal issue because it has widespread implications for both individuals and society as a whole.
According to Mills, a societal issue is one that cannot be attributed solely to the actions of individuals. Instead, it is the result of social structures and processes that operate at a broader level.
For example, the high school dropout rate in the United States is influenced by a variety of factors such as poverty, race, and family background. These factors are not solely determined by the actions of individual students but are instead shaped by broader social forces such as economic inequality and institutional racism.
To address the high school dropout rate, therefore, requires collective action at the societal level. This may involve policy changes, community-based initiatives, or other forms of collective action aimed at addressing the underlying social factors that contribute to the problem.
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PLEASE HELP
What is the approximate volume of the cone
Use 3.14 for TT.
57 cm3
339 cm3
509 cm3
1526 cm3
The volume of the Illustrated cone used as an example is 51.3cm³.
How to calculate the volume?Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.
A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²
Let's say the radius is 7cm. The volume will be:
= 1/3 × 3.14 × 7²
= 51.3cm³
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A company is designing a new cylindrical water bottle. The volume of the bottle will be 124 cmcubed. The height of the water bottle is 7.1 cm. What is the radius of the water bottle? Use 3.14 for pi.
Answer:
2.35cm
Step-by-step explanation:
Given data
Volume= 124cm^3
Height= 7.1cm
The expression for the volume of a cylinder is given as
V= πr^2h
substitute
124=3.142*r^2*7.1
124=22.3082r^2
r^2= 124/22.3082
r^2= 5.55
r= √5.55
r=2.35cm
Hence the radius of the cylindrical bottle is 2.35cm
The area of a triangle is 0.2 of the area of a square. A rectangle has an area 0.7 times
the area of the square. The total area of the triangle, square and rectangle is 494 cm².
What is the difference in area between the triangle and the rectangle?
The difference between the area of the triangle and area of the rectangle is 130
What is area?The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity.
Represent the area of triangle , square and rectangle by x, y, z respectively.
x = 0.2y
z = 0.7y
x+y+z = 494
therefore;
0.2y +y + 0.7y = 494
1.9y = 494
divide both sides by 1.9
y = 494/1.9
y = 260
x = 0.2 ×260
= 52
y = 0.7 × 260
= 182
y - x = 182 - 52
= 130
therefore the difference in area between the triangle and the rectangle is 130
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use the distributive property to write the expression without parentheses -(5y + 6)
Answer:
-5y -6
Step-by-step explanation:
Apply the distributive property to factor out the greatest common factor. 44+48=44+48=44, plus, 48, equals
2040
&Go do no cheat or dis
Answer: 4(11+12)
Step-by-step : don't ask why I'm even answering this
Which 3 functions have symmetry about the origin?
Answer:
y = x, y = x^3, y = x^5
Step-by-step explanation:
For it to be symmetrical over the origin, you need to replace x with -x and y with -y AND make sure it equals to the original function. So for example, take y = x^5. Replace the x and y with -c and -y respectively:
-y = -x^5
Both are still negative so if you divide by -1, it is just the original function so it is symmetrical over origin.
If you don't understand something, comment and I will try my best to answer it
if a data line on a graph slopes down as it goes to the right, it is depicting that group of answer choices the relationship between the variables on
When a data line on a graph slopes down as it goes to the right, it is depicting that the relationship between the variables on the graph is inverse.
An inverse relationship is a kind of correlation between two variables, in which one variable decreases while the other increases, or vice versa. An inverse relationship happens when one variable increases while the other decreases, or when one variable decreases while the other increases.
On a graph, when a data line slopes down as it goes to the right, this is an indication that the relationship between the variables on the graph is inverse. As the values of x increase, the values of y decrease. Therefore, we can conclude that there is an inverse relationship between x and y.
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