Answer: Chad Makes $1.50 more
Step-by-step explanation:
You have to divide 30 from 4 to see Horatio’s hourly rate which is 7.5 and then you will see that 9 - 7.5 is 1.5. I hope this helped
Josef got 80% on a true/false science quiz. He got 20 questions right. How many questions were on the test? (Show all of your calculations)
A boat heading out to sea starts out at Point A, at a horizontal distance of 639 feet from a lighthouse/the shore. From that point, the boat's crew measures the angle of elevation to the lighthouse's beacon-light from that point to be 11 degrees . At some later time, the crew measures the angle of elevation from point B to be . Find the 3 degrees distance from point A to point B. Round your answer to the nearest foot if necessary .
9514 1404 393
Answer:
1731 ft
Step-by-step explanation:
The tangent relation is useful in this problem.
Tan = Opposite/Adjacent
The height of the light is found to be ...
tan(11°) = height/(639 ft)
height = (639 ft)·tan(11°) . . . . . solve for height
Then the distance from the light to point B is ...
tan(3°) = height/(B distance)
B distance = height/tan(3°) = (639 ft)·tan(11°)/tan(3°) ≈ 2370 ft
Then the distance from point A to point B is ...
2370 ft -639 ft = 1731 ft . . . AB distance
Tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between points A and B is 1731 feet.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
As it is given that the distance between the lighthouse and point A is 639 feet, while the angle of elevation from that point is 11°. therefore, using the tan function, the height of the lighthouse,
[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(11^o) = \dfrac{CD}{CA}\\\\Tan(11^o) = \dfrac{CD}{639}\\\\Tan(11^o) \times 639 = CD\\\\[/tex]
As we know that CD is the height of the lighthouse, now
In Δ BCD
The tan function for the distance between the lighthouse and point B can be written as,
[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(3^o) = \dfrac{CD}{CA}\\\\Tan(3^o) = \dfrac{Tan(11^o) \times 639}{CA}\\\\CA = 2370\ ft.[/tex]
Hence, the distance between the lighthouse and Point B is 2370 ft.
Now, we know the distance between the lighthouse and Point A, and the distance between the lighthouse and Point B, therefore,
The Distance between Point A and B (AB) = CB - CA
= 2370 - 639
= 1731 ft.
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
solve by drawing the area model and using the standard algorithm 7,481 × 290
what is 35% written like as a decimal
Answer:
.35
Step-by-step explanation:
35%
Percent means out of 100
35% = 35/100
Writing this as a decimal
.35
Retention rates in a weight loss program. Americans spend over $30 billion annually on a variety of weight loss products and services. In a study of retention rates of those using the Rewards Program at Jenny Craig in 2005, it was found that about 18% of those who began the program dropped out in the first four weeks.10 Assume we have a random sample of 300 people beginning the program.
a) What is the mean number of people who would drop out of the Rewards Program within four weeks in a sample of this size? What is the standard deviation?
b) What is the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks?
Answer:
(a)
[tex]\mu=54[/tex]
The standard deviation is
[tex]\sigma=6.6543[/tex]
(b)
[tex]\mu=246\\\sigma=6.6543[/tex]
Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is
[tex]z=-1.73[/tex]
So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is
[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]
Step-by-step explanation:
Let X is a random variable that shows the number of people who would drop out of the Rewards Program within four weeks. Here X has binomial distribution with parameters n = 300 and p = 0.18.
(a)
The mean number of people who would drop out of the Rewards Program within four weeks in a sample of this size is
[tex]\mu=np=300\cdot 0.18=54[/tex]
The standard deviation is
[tex]\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]
(b)
Let Y is a random variable that shows the number of people in the sample who will still be in the Rewards Program after the first four weeks. Here Y has a binomial distribution with parameters n= 300 and p=0.82. So mean of Y is
[tex]\mu=np=300\cdot 0.82=246\\\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]
Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is
[tex]z=\frac{Y-\mu}{\sigma}=\frac{234.5-246}{6.6543}=-1.73[/tex]
So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is
[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]
Triple XXX Restaurant, a historic and popular diner in West Lafayette, has determined that the chance a customer will order a soft drink is 0.90. The probability that a customer will order a hamburger is 0.60. The probability that a customer will order French fries is 0.50. The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries is 0.80. Determine the probability that the order will include a hamburger and fries.
==========================================================
Explanation:
Define the events
D = person orders a drinkH = person orders a hamburgerF = person orders friesThe given probabilities are
P(D) = 0.90P(H) = 0.60P(F) = 0.50P(F given H) = 0.80The notation "P(F given H)" refers to conditional probability. If we know the person ordered a burger, then it changes the P(F) from 0.50 to 0.80; hence the events H and F are dependent.
----------------------
We want to find the value of P(H and F), which is the same as P(F and H)
We can use the conditional probability formula
P(F given H) = P(F and H)/P(H)
P(H)*P(F given H) = P(F and H)
P(F and H) = P(H)*P(F given H)
P(F and H) = 0.60*0.80
P(F and H) = 0.48
There's a 48% chance someone orders a burger and fries.
What is the slope of a line that is parallel to the line y = 3/4x + 2?
Answer:
3/4
Step-by-step explanation:
Parallel lines have same slopes.
dana has already taken 3 pages of notes on her own, and she will take 2 pages durning each hour of class. write an equation that shows the relationship between the time in class h amd the number of pages p.
write your answer as an equation with p first, followed by an equals sign
Answer:
p = 2×h + 3
Step-by-step explanation:
for every hour in class she writes 2 pages.
so, the total number of pages written is 2 times the number of hours in class.
and she had already a starting "offset", a head start if you will, of 3 pages.
so, even if she spends 0 hours in class, she has these 3 pages no matter what.
hence the "+ 3" part.
Jon earns $3 for every package he wraps. To take a package to the post office, Jon earns 1.65 times as much as he earns for wrapping a package. How much will Jon earn for wrapping a package and taking it to the post office?
Answer:
a1 = 1, a2 = 2Step-by-step explanation:
5 + 3 = 28
9 + 1 = 810
8 + 6 = 214
5 + 4 = 19
then, 7 + 3 = ???
Answer:
410 is the answer
Step-by-step explanation:
subtract the two digits to get the left most digit of the solution. then add the two digits to get remainder of solution.
ex as we know 5-3=2 and 5+3=8 in the given question
5 + 3 = 28
The answer is 410.
How?
A+B =CD
C=(A-B) , D(A+B)
5 + 3 = (5-3)(5+3) = 28
9 + 1 = (9-1)(9+1) = 810
8 + 6 = (8-6)(8+6) = 214
similarly
7 + 3 = (7-3)(7+3) = 410
Find the circumference of the given circle given a diameter of 9 in
use 3.14
Answer:
28.26
Step-by-step explanation:
Circumference= 2 pi x r
Diameter= 9 (double the radius)
Radius= 4.5
Pi= 3.14
2 x 3.14= 6.28
6.28 x 3.14= 28.26
:D
how do i answer questions
Answer:
You click on the ANSWER button and type in your answer and sometimes explanation (if necessary) and then click the blue paper airplane button on the right to post it. Hope this helps.
Which equation represents the solution of the equation 6x - 18 = 30?
A. x = 2
B. x = 8
C. x = 27
D. x = 33
Answer:
x=8
Step-by-step explanation:
firstly take 30+18 which equals 48 and then divide that by six which will give you 8 as your answer
Which equation represents the solution of the equation 6x - 18 = 30?
B. x = 8
In a right triangle, the sides that form the right angle are the legs; the longest side (opposite the right angle) is the hypotenuse. Some textbooks say that when two right triangles have congruent pairs of legs, the right triangles are congruent by the reason LL. In our work, LL is just a special case of one of the postulates in this section. Which postulate is that
Answer:
SAS postulate
Step-by-step explanation:
Given
LL postulate
Required
What type of postulate is LL
LL means 2 legs are equal.
When 2 legs of the right triangle are equal, then it means that two sides of the right triangle
In the actual sense, this postulate is SAS postulate where 2 sides are also equal.
Hence, the LL postulate is a special case of SAS
Abdallah noticed that if he takes the opposite of his age and adds 40, he gets the number 28.
Ali wants to know Abdallah's age. He wrote the equation -x + 40 = 28 And he got his age as 68.
What was Ali's mistake? how old is Abdallah?
Please solve neatly and show steps.
The equation is correct. He did mistake is calculation. The correct calculation is:
-x + 40 = 28
=> 40 = 28 + x
=> 40 - 28 = x
=> 12 = x
What is the hydrogen ion concentration of a solution with a pH of 4.2?
a) 3.2 x 10-6 M
b) 2.7 x 10-9M
c) 6.4 x 10-5 M
d) 1.0 x 10-6 M.
Step-by-step explanation:
pH = 4.2
- log[H+] = 4.2
[tex][ H+] = {10}^{ - 4.2} [/tex]
[tex][ H+] = 6.4 \times {10}^{ - 5} [/tex]
OPTION C
Help me find the missing number # 9,10 & 12 please thank you
You roll four six-sided die. Find the probability that exactly three of the
dice are odd.
Answer:
3/8
Step-by-step explanation:
There is a 1/2 probability one die will be odd because 1, 3, and 5 are the only possible odd numbers.
Since you want 3/4 of the dice to be odd, you multiply 1/2 by 3/4 to get 3/8.
I believe it is 3/8.
Answer:
9/24 or 3/8
Step-by-step explanation:
3/6 (3 out of the 6 sides are odd)
3/4 (3 out of 4 die)
Multiply together
3/6 * 3/4= 9/24
so 9/24 is the answer... you can simplify it to 3/8.
ur welcome :)
What is the least common denominator out of 1/9 and 2/3
Answer:
9
Step-by-step explanation:
9 is a multiple of 3, so it is the least common denominator
9 factors : 9,18,27,36,45,54, ...
3 factors : 3 , 6, 9, 12, 15, 18, ..
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Substituting the equation x = 2y + 3 into the equation y= -3x - 4 will produce the equation ?
Answer:
y=-6y-13
Step-by-step explanation:
If x=2y+3 and y=-3x-4, you can plug x's value into y=-3x-4:
y=-3(2y+3)-4
Then solve.
y=-6y-9-4
Simplify.
y=-6y-13
What’s the answer to this? I need to do this for extra credit and I have no idea what this is
9514 1404 393
Answer:
20
Step-by-step explanation:
As with any evaluation problem, take it step by step according to the order of operations.
The first thing you need to do here is compute a#b.
The given definition can be simplified a bit for evaluation purposes:
a#b = a²b -ab² = ab(a -b)
Then for a=3 and b=-2, you have ...
(3)#(-2) = (3)(-2)(3 -(-2)) = -6(5) = -30
Now, you are in a position to evaluate the expression you're asked for.
[tex]\dfrac{(a\#b)^2}{15-(a\#b)}=\dfrac{(-30)^2}{15-(-30)}=\dfrac{900}{45}=\boxed{20}[/tex]
how to solve 11/8 ÷ 4/9
[tex]3.09375[/tex] ✅
Step-by-step explanation:
[tex] \frac{11}{8} \div \frac{4}{9} \\ = \frac{11}{8} \times \frac{9}{4} \\ = \frac{11 \times 9}{8 \times 4} \\ = \frac{99}{32} \\ = 3.09375[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Find the value of x
Answer:
x = 25 degree
Step-by-step explanation:
5x + 4 = 8x - 71 (being vertically opposite angle)
5x - 8x = -71 - 4
-3x = -75
x = -75/-3
x = 25
a round cake pan has a diameter of 6 inches which is closest to the area of the bottom of the Pan
A. 20 square inches B. 30 square inches
C. 40 square inches. D. 100 square inches
Answer:
The correct answer is B.
Step-by-step explanation:
The area of the closest answer is 30 since the actual area is 28 square inches.
If JK AND LM which statement is true
Answer:
Perpendicular lines meet at 90 degrees, so JK and LM meeting at 90 degrees is the correct answer.
Step-by-step explanation:
(I know they mean If JK is perpendicular to LM because I saw this question before on brainly.)
Can anyone help pls? Thanks much appreciated
Answer:
x ≈ 5.7
Step-by-step explanation:
Recall, SOH CAH TOA.
We are given:
Reference angle = 35°
Opposite side length to reference angle = 4
Adjacent side = x
To find x, apply the trigonometric equation, TOA, which is:
Tan 35° = Opp/Adj
Substitute
Tan 35° = 4/x
x*Tan 35° = 4
x = 4/Tan 35°
x ≈ 5.7
25/22 as a decimal rounded to the nearest hundredths
Answer:
Hi there!
Step-by-step explanation:
First thing we have to do is make 25/22 a proper fraction. That is 1 3/22. This converted to a decimal is 1.1(36) or, rounded to the nearest hundredth, that is 1.1 :)
Hope you enjoy!
What is the value of the expression below if y = 5?
35 = (y + 2) + 4
Answer:
11
Step-by-step explanation:
Using GEMDAS
G-Group
E-Exponent
M-Multiplication
D-Division
A-Addition
S-Subtraction
Step 1: Substitute the value y=5 in the equation
35÷(5+2)+4
Step 2: Evaluate the equation by computing first the parenthesis
35÷(7)+4
Step 3: Next divide 35 by 7
(5)+4
Step 4: Add
=9
The answer is 9.
why 13/3hr and 4hr are equal?
Answer:
13/3 = 4 1/3 which when rounded is 4hrs
As 4.3/4 = 1.075 = 1 unit and not 2
Step-by-step explanation:
13/3 = 4.33333333 and rounded down = 4 hrs
Assume that a standard number cube is rolled.Find the theoretical probability of each event to the red box that has the correct solution
Answer:
well rolling a 1 would be a 1 in 6 chance as would rolling 2 be a 1 in 6 chance
Step-by-step explanation: if this is not what you are looking for post a picture so I can answer correctly
