Answer:
the second one looks like it is correct
She decides that ordering that many cars would not be economically feasible at this time and asks her sales manager to randomly choose one of the models for the sales lot. What is the probability that he chooses the 4-door, special edition model, with four-wheel drive?
The probability that he chooses the 4-door, special edition, four-wheel drive model is (44)=
P(4S4)=
Answer:
The probability that he chooses the 4-door, special edition, four-wheel drive model is P( 454) = 1 (Enter your answer as reduced fraction.) ...Step-by-step explanation:
The probability that he chooses the 4-door, special edition, four-wheel drive model is (44)=P(4S4)=The angle of depression from an airplane to the top of an air traffic control tower is 56°. If the tower is 320 feet tall and the airplane is flying at an altitude of 7,450 feet, how far away is the airplane from the control tower?
Answer:
There are two possible answers depending on how you interpret the question. Please read the explanation below carefully and in full
Diagonal distance from top of tower to plane :
\(\boxed{d= 12,571\;feet}\)
Horizontal distance from control tower to plane:
\(\boxed{h = 10571\;feet}\)
Step-by-step explanation:
Before explanation, I must say the question is confusing. Are they asking for the distance from the top of the tower or the horizontal distance from the location of the tower?
I am giving answers for both. You can ask your professor about this and answer with the right one.
----------------------------------------------------------------------------------------------------
This question and explanation can best be understood by drawing a diagram with given information
First, look at the attached Image
A is the top of the control tower 320 feet above the ground
B is the location of the plane 7450' above ground level.
The point C which lies on the vertical line is at the same height from the ground as the top of the control tower i.e. 320 feet
So B
Points ABC form a right triangle with m∠ACB = 90°
m∠ABC = 56° (given)
Since the 3 angles of a triangle add up to 180°, we have
m∠BAC + 56 + 90 = 180°
m∠BAC = 180 - (56 + 90) = 34°
Diagonal distance from top of tower(d)
The objective is to find d.
Use the law of sines which states:
If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of sines states:
\(\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}\)
Looking at the various side lengths and angles and applying this law we get
\(\dfrac{7130}{\sin 34^\circ} = \dfrac{d}{\sin 90^\circ}\\\\\textrm{Since }\sin 90^\circ } = 1\\\\\dfrac{7130}{\sin 34^\circ} = d\\\\d = 12,750.5194 = 12,751 \textrm{ feet rounded to nearest foot}\\\\\)
Horizontal distance from tower
Use the law of sines again.
Without calculating d first, we can use
\(\dfrac{h}{\sin 56^\circ} = \dfrac{7130}{\sin 34^\circ}\\\\\)
\(h = \dfrac{7130 (\sin 56^\circ)}{\sin 34^\circ} = 10,570.659 = 10,571 \;feet\)
Therefore the possible answers are
Diagonal distance from top of tower to plane :
\(\boxed{d= 12,571\;feet}\)
Horizontal distance from control tower to plane:
\(\boxed{h = 10571\;feet}\)
It is highly likely that they are looking for the horizontal distance but check with your prof or include both answers
Please help, I’ll mark your answer as brainliest.
Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
What is a sound wave?When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.
When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.
Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.
Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
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If one half gallon of paint covers 1/8 of a wall then how much paint is needed to cover the entire wall
Answer:
4 gallons of paint
Step-by-step explanation:
We know that 1/2 gallon paints 1/8 of a wall.
We can multiply to find the total amount.
1/2 * 8 = 4 gallons
Best of Luck!
Answer:
4 Gallons
Step-by-step explanation:
if one gallon equals 2/8 then 4 gallons equals 8/8
What is the value of x?
(5x - 5)°
8x
(6x - 5)
The value of x in the triangle is 10
What is sum of angle in a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.
The sum of the three angles in a triangle is 180°.
Therefore
(5x - 5)° + 8x + (6x - 5) =180
5x-5+8x+6x-5 = 180
collect like terms
5x+8x+6x-5-5 = 180
19x = 180+10
19x = 190
divide both sides by 19
x = 190/19
x= 10
therefore the value of x is 10
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Which of the following are identities?
Answer:
A
Step-by-step explanation:
I. False. Consider y = 3 and x = 4.
II. False. Consider x = 1.
III. False. Consider x = -2.
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
FCPS Bookmarks
Launch realize. 8-2: Find Volume of Cylinders (LMS graded)
8.2.PS-13
The cylinder shown has a volume of 824 cubic inches.
a. What is the radius of the cylinder? Use 3.14 for .
b. If the height of the cylinder is changed, but the volume
stays the same, then how will the radius change? Explain.
a. The radius of the cylinder is about 8.2 in³.
(Type an integer or decimal rounded to the nearest tenth as needed.)
10.7 in.
Question Help
◇
To find the radius of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the volume is 824 cubic inches, we can rearrange the formula to solve for the radius:
824 = πr²h
Since the height is not given, we cannot find the exact radius. However, we can still determine the relationship between the height and radius if the volume remains the same.
b. If the height of the cylinder is changed, but the volume stays the same, the radius will change inversely proportional to the height. This means that as the height increases, the radius will decrease, and vice versa. This relationship ensures that the volume remains constant.
Therefore, we cannot determine the exact radius without knowing the height, but we can conclude that the radius and height have an inverse relationship.
Question 3 4 pts Solve the equation for the variable. Show your work and be sure to not forget to show all of your steps. -3(3 + 6b) = 36 - 3b
Answer:
\(\huge\boxed{\sf b = -3}\)
Step-by-step explanation:
Given equation:-3(3 + 6b) = 36 - 3b
Distribute
-9 - 18b = 36 - 3b
Add 3b to both sides
-18b + 3b - 9 = 36
-15b - 9 = 36
Add 9 to both sides
-15b = 36 + 9
-15b = 45
Divide -15 to both sides
b = 45/(-15)
b = -3\(\rule[225]{225}{2}\)
Answer:
The value of b is -3.
Step-by-step explanation:
The equation is,
→ -3(3 + 6b) = 36 - 3b
Now the value of b will be,
→ -3(3 + 6b) = 36 - 3b
→ -3(3) - 3(6b) = 36 - 3b
→ -9 - 18b = 36 - 3b
→ -18b + 3b = 36 + 9
→ -15b = 45
→ b = -(45/15)
→ [ b = -3 ]
Hence, the value of b is -3.
What is the solution set for -4x -10 2?
3.2 Similar FiguresIf AABC - AXYZ find the length of the missing side.Show all work.
XYZ and ABC are similar triangles. Thus, the ratio of the concurrent sides will be the same.
\(\frac{XZ}{AC}=\frac{XY}{AB}\)Substitute values in the above expression.
\(\begin{gathered} \frac{m}{7}=\frac{49}{23} \\ m=\frac{49}{23}\times7 \\ m=\frac{343}{23} \\ m=14.91 \end{gathered}\)Thus, the length of side m is 14.91 .
Jennifrr is flying a kite. The kite has an angle of elevation of 51 degrees and us flying on a 40 feet of string. If jennifer is holding the end of the string 6 feet off the ground, how high above thr ground is the kite? 45.6 ft 37.1 ft 54.7ft 31.2 ft
Answer:
37.1 ft
Step-by-step explanation:
Draw a right triangle with a horizontal side and a vertical side going up from one endpoint of the horizontal side. These two sides form the right angle of the triangle. Then draw a hypotenuse. The hypotenuse has length 40 ft. The acute angle at the end to the horizontal side measures 51°.
Let the length of the vertical side be y.
sin 51° = y/40
y = 40 * sin 51°
y = 31.1
The horizontal side of the triangle is not the ground. It is at the height of Jennifer's hand. Now we add 6 ft to the height.
31.1 ft + 6 ft = 37.1 ft
Answer: 37.1 ft
A pollster for an election believes that the age group and socio-economic class of a voter may be factors that affect the extent to which that voter will agree with a new range of policies of the current government. A two-way ANOVA test is conducted to test this. Three hypotheses are tested: Test 1 relates to whether age group is a significant factor, Test 2 relates to whether socio-economic class is a significant factor, and Test 3 relates to interaction between these two factors. The levels of age group tested are 18 to 39, 40 to 55, and over 55. The levels of socio-economic class being tested are lower class, middle class, and upper class.
In the ANOVA test, the pollster does not reject the null hypothesis in Test 1, rejects the null hypothesis in Test 2, and does not reject the null hypothesis in Test 3. The following table presents four statements relating to this ANOVA test and socio-economic class as a factor in voter agreement with the new government policies. For each statement, select whether it can be concluded from the ANOVA test or cannot be concluded from the ANOVA test. a) On average, people in the middle class agree with the new government policies to a different extent than people in the upper class. Can conclude ___ Cannot conclude____
b) All of the socio-economic classes are different in relation to the average extent of voter agreement with the new government policies. Can conclude ___ Cannot conclude____
c) All of the socio-economic classes are the same in relation to the average extent of voter agreement with the new government policies. Can conclude ___ Cannot conclude____
d) At least one of the socio-economic classes is different to the rest in relation to the average extent of voter agreement with the new government policies
Can conclude ___ Cannot conclude____
a) Yes given statment concluded from the ANOVA test
b) No given statment cannot concluded from the ANOVA test
c) No given statment cannot concluded from the ANOVA test
d) Yes given statment concluded from the ANOVA test
a) On average, people in the middle class agree with the new government policies to a different extent than people in the upper class.
Can conclude: Yes, this can be concluded from the ANOVA test, as the null hypothesis was rejected in Test 2, indicating that there is a significant difference between at least two levels of socio-economic class.
b) All of the socio-economic classes are different in relation to the average extent of voter agreement with the new government policies.
Cannot conclude: No, this cannot be concluded from the ANOVA test, as Test 3 did not reject the null hypothesis, indicating that there is no significant interaction effect between age group and socio-economic class.
c) All of the socio-economic classes are the same in relation to the average extent of voter agreement with the new government policies.
Cannot conclude: No, this cannot be concluded from the ANOVA test, as Test 2 rejected the null hypothesis, indicating that there is a significant difference between at least two levels of socio-economic class.
d) At least one of the socio-economic classes is different to the rest in relation to the average extent of voter agreement with the new government policies.
Can conclude: Yes, this can be concluded from the ANOVA test, as Test 2 rejected the null hypothesis, indicating that there is a significant difference between at least two levels of socio-economic class.
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The mean height of the students in a class is 152 cm. The mean height of boys is 158 cmwith a standard deviation of 5 cm. And the mean height of girls is 148 cm with a standarddeviation of 4 cm. Find the percentage of boys in the class and also the S.D of heights of allthe students in the class?
The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively
How to find the percentage of boys in the class?Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class
The given parameters that will help us to get the percentage are
Mean height of the class = 152 cm
Mean height of the boys = 158 cm
The standard deviation of the boys = 5 cm
Mean height of the girls = 148 cm
Standard deviation of the girls = 4 cm
(1) The percentage of boys in the class is
Total mean height = 158 +148 = 306
Percentage = 158/306 * 100 = 51.6%
Then the percentages 51.6/100 * 152 = 78%
(2) The total standard deviation of all the students
Boys + girls = 5+4 = 9 cm
Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively
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Can you answer this? Take ur time I'm not in a hurry.
Thanks!
i believe the correct graph is the bottom left
If the answer is correct you get brainly
Answer:
the answer is 2,800.
Step-by-step explanation:
5x5x2x7x8=2,800.
alyssa picked 5.39 pounds of blueberries she used 0.3 of those blueberries to make a pie, how many pounds did alyssa use
How do I do number 1??
Help me it’s due tomorrow!!!
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
We have,
In a parallelogram,
- Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths.
- Opposite angles are congruent:
The opposite angles of a parallelogram have equal
Now,
a)
Opposite angles are congruent:
So,
5x + 29 = 7x - 11
29 + 11 = 7x - 5x
40 = 2x
2x = 40
x = 40/2
x = 20
And,
3y + 15 = 5y - 9
15 + 9 = 5y - 3y
24 = 2y
y = 24/2
y = 12
b)
Opposite sides are congruent:
So,
-6x = -4x + 6
-6x + 4x = 6
-2x = 6
x = -3
And,
7y + 3 = 12y - 7
12y - 7y = 3 + 7
5y = 10
y = 2
Thus,
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
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mrs wu spent 1/6 of her on a dress and 2 blouses. the dress cost 3 times as much as each blouse. mrs wu spent 3/4 of her remaining money on a watch. she spent $220.50 more on the watch than on the dress.
Mrs. Wu initially had $1062.40.
Let's break down the given information step by step:
1. Mrs. Wu spent 1/6 of her money on a dress and 2 blouses.
Let's assume Mrs. Wu's total money is represented by the variable M. She spent 1/6 of M on the dress, which means she spent (1/6)M on the dress and the same amount on two blouses.
2. The dress cost 3 times as much as each blouse.
Let's assume the cost of each blouse is represented by the variable B. Therefore, the cost of the dress would be 3B.
3. Mrs. Wu spent 3/4 of her remaining money on a watch.
After spending on the dress and blouses, Mrs. Wu has (M - (1/6)M) = (5/6)M remaining. She spent 3/4 of this remaining money on a watch, which is (3/4) * (5/6)M = (15/24)M.
4. She spent $220.50 more on the watch than on the dress.
The amount spent on the watch is (15/24)M, and the amount spent on the dress is (1/6)M. The difference between these amounts is $220.50.
To find the value of M, we can set up an equation:
(15/24)M - (1/6)M = $220.50
Simplifying the equation:
(15/24 - 1/6)M = $220.50
(5/24)M = $220.50
Multiplying both sides by (24/5):
M = $220.50 * (24/5)
M = $1062.40
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Rick is going to buy donuts for his family. Each donut costs $1.25. If the number of donuts Rick buys is represented using the letter r, which expression represents the total cost?
The algebraic expression that represents the total cost would be: A. 1.25r.
How to Write an Algebraic Expression?Given that the number of donuts Rick buys for his family is represented by letter "r", and we also know that:
cost of each donut = $1.25.
Using an algebraic expression, we can create a mathematical expression that shows the total cost for Rick to by a given number of donuts for his family.
Thus:
1 donut = 1.25
r donuts would cost: 1.25 × r = 1.25r.
Therefore, the algebraic expression that represents the total cost would be: A. 1.25r.
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kira,boris,deshuan have a total of $119 in their wallets. Boris has 3 times waht deshuan has. Deshuan has $6 more than kira. How much do they have in their wallets.
Kira has $19, Boris has $75, and Deshuan has $25.
How much money does each person have in their wallets?We will denote as follows:
Kira has as K, Boris has as B, and Deshuan has as D.From information, we can set up equations:
B = 3D (Boris has 3 times what Deshuan has)
D = K + 6 (Deshuan has $6 more than Kira)
K + B + D = 119 (The total amount of money they have is $119)
Substituting equation 2 into equation 1, we have:
B = 3(K + 6)
Substituting equations 1 and 2 into equation 3:
K + 3(K + 6) + (K + 6) = 119
K + 3K + 18 + K + 6 = 119
5K + 24 = 119
5K = 119 - 24
5K = 95
K = 95 / 5
K = 19
Using equation 2, we can find D:
D = K + 6
D = 19 + 6
D = 25
Using equation 1, we can find B:
B = 3D
B = 3 * 25
B = 75.
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Someone pls help me with this
The measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees
Calculating the measures of the angles a to dFrom the question, we have the following parameters that can be used in our computation:
The circle and its properties
The angle in a semicircle is 90 degrees
So, we have
d = 90
Using the properties of angles, we have
a = 1/2 * 76
a = 38
Also, we have
a + b + d = 180 --- sum of angles in a triangle
So, we have
38 + b + 90 = 180
This gives
b = 52
Using the properties of angles, we have
b = 1/2 * c
52 = 1/2 * c
c = 104
Hence, the measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees
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choose the equation of the graphed function
Response time is an important statistic for measuring the effectiveness of a fire department, and is measured as the difference between the time a fire station receives a call and the time the first piece of fire equipment leaves the station. The response times for fire departments in a large city are found to have an approximately Normal distribution, with a mean of 4.5 minutes and a standard deviation of 1.2 minutes. What percentage of fire station response times are under 3 minutes?
Find the z-table here.
6.68%
10.56%
89.44%
93.32%
Answer:
b.10.56
pls mark brainliest thx
Polynomial factoring
8x^4+ 10x^2 – 3
Rewrite each equation without absolute value for the given conditions.
y = |x-3| + |x +2|-|x - 5| if 3
The equation obtained without the absolute value for given function
y = |x-3| + |x +2|-|x - 5| is y = 2.
Explain about the absolute value?Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative. Have a look at these samples.
5 is the sum of its absolute values. There are 5 units between 5 and 0.5 is -5's absolute value. There are 5 units between -5 and 0.2 + (-7) equals 5 in absolute terms. The resultant point on a number line is 5 units away from zero when depicting the addition.The given equation:
y = |x-3| + |x +2|-|x - 5|
For x = 3
y = |3-3| + |3+2|-|3 - 5|
y = 0 + |5| - |-3|
Without absolute values:
y = 5 - 3
y = 2
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What is the point of intersection for the graphs of the equations 4x-y=6 and x+y=4
Answer:
(2,2)
Step-by-step explanation:
4x-6 = 4-x
5x = 10
x = 2
y = 4-2 = 2
(2,2)
what is the slope and y-intercept for x+y=4
Answer:
Slope (x) = 1, y-intercept (b) = 4
Step-by-step explanation:
\(x+y=4\)
\(y=x+4\)
(written in y = mx + b form)
NO LINKS!!! URGENT HELP PLEASE!!!
Please help me with 3 and 4
Answer:
3. 5.3 ft
4. 4.5 ft
Step-by-step explanation:
3.
Let's call the height of the connection point on the tree "h". We can use trigonometry to relate the angle and the length of the guy wire to "h". Specifically, we can use the sine function:
sine of the angle = opposite / hypotenuse
In this case, the opposite side is the height "h", and the hypotenuse is the length of the guy wire, which is 8 feet. So we have:
sin(42) = h / 8
To solve for "h", we can multiply both sides by 8:
h = 8 sin(42)
Using a calculator, we get:
h ≈ 5.3 feet
So the height of the connection point on the tree is about 5.3 feet, to the nearest tenth of a foot.
4.
The ladder, the wall, and the ground form a right triangle, with the ladder being the hypotenuse. Let's call the height on the wall that the ladder reaches "x". We can use trigonometry to relate the angle and the length of the ladder to "x". Specifically, we can use the sine function:
sine of the angle = opposite / hypotenuse
In this case, the opposite side is the height "x", and the hypotenuse is the length of the ladder, which is 5 meters. So we have:
sin(65) = x / 5
To solve for "x", we can multiply both sides by 5:
x = 5 sin(65)
Using a calculator, we get:
x ≈ 4.5 meters
So the ladder reaches a height of about 4.5 meters on the wall.
A pendulum on a grandfather clock is swinging back and forth and it keeps time. A device measures the height of the pendulum above the floor as it swings back and forth. At the beginning of the measurements, the pendulum is at its highest point, 36 cm above the floor. After 4 seconds, it is at its lowest point, 12 cm above the floor. At 8 seconds, the pendulum is back at its greatest height from the floor. Assume that the graph of the distance above the floor varies sinusoidally as time. A table of values is given below.
b. Write an equation of the form H(t)=A cos (Bt) +D for your graph above.
c. What is the distance (to the nearest tenth) from the floor when t=6.5 seconds?
The distance from the floor when t = 6.5 seconds is about 13.7 cm.
We are given that;
H(t)=A cos (Bt) +D
Now,
b. To write an equation of the form H(t) = A cos (Bt) + D for the graph, we need to find the values of A, B, and D.
A is the amplitude of the cosine function, which is half the difference between the maximum and minimum values of H(t). In this case, the maximum value is 36 and the minimum value is 12, so:
A = (36 - 12) / 2 A = 12
D is the vertical shift of the cosine function, which is the average of the maximum and minimum values of H(t). In this case:
D = (36 + 12) / 2 D = 24
B is related to the period of the cosine function, which is the time it takes for one complete cycle. In this case, the period is 8 seconds, because H(t) repeats its values every 8 seconds. The formula for B is:
B = 2π / period
So:
B = 2π / 8 B = π / 4
Therefore, the equation is:
H(t) = 12 cos (π/4 t) + 24
c. To find the distance from the floor when t = 6.5 seconds, we need to plug in t = 6.5 into the equation and evaluate H(t). Using a calculator, we get:
H(6.5) = 12 cos (π/4 × 6.5) + 24 H(6.5) ≈ 13.7
Therefore, by the equation answer will be 13.7 cm.
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