In a restaurant there are 8 starter 15 main dishes 9 dessert Jane is going to choose one of the following how many different ways are there for her to choose
Answers
Answer:
1335
Step-by-step explanation:
Starter + Main = 8 x 15 = 120
Main + Dessert = 15 x 9 = 135
Starter + Main + Dessert = 8 x 15 x 9 = 1080
120 + 135 + 1080 = 1335 possibilities
Answer:
Step-by-step explanation:
STARTER + MAIN:
8 x 15 = 120
MAIN + DESSERT:
15 x 9 = 135
STARTER + MAIN + DESSERT:
8 x 15 x 9 = 1080
120 + 135 + 1080 = 1335 possibilites
Related Questions
Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 22. Use the range rule of thumb to find the value separating results that are significantly low
Answers
Definition
According the range rule of thumb, most values should lie within 2 standard deviations of the mean.
Given:
The probability that a pea has a green pod = 0.75
Number of groups = 22
The formula to find the value seperating the results that are significantly low is:
\(=\text{ mean - 2 }\times\text{ standard deviation}\)The mean and standard deviation can be found using the formula:
\(\begin{gathered} \text{mean = np} \\ \text{standard deviation = }\sqrt[]{npq} \end{gathered}\)Where n is the numble of samples
p is the probability of success
q is the probability of failure
Substituting we have:
\(\begin{gathered} \operatorname{mean}\text{ = 22 }\times\text{ 0.75} \\ =\text{ 16.5} \\ \text{Standard deviation = }\sqrt[]{22\times0.75\times(1-0.75)} \\ =\text{ 2.031} \end{gathered}\)Using the range rule, the value seperating results that are significantly low is:
\(\begin{gathered} =\text{ 16.5 - 2}\times2.031 \\ =\text{ 12.438} \end{gathered}\)Answer: 12.438
help me pls I’m stressing my finals
Answers
A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
(b) Use your answer in part (a) to determine the new value.
Answers
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
Step-by-step explanation:Make A Plan:
A) - Calculate the Percentage of the Value Remaining After the Decrease
B) - Calculate the NEW VALUE of the house
SOLVE THE PROBLEM:
A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE
100% - 9% = 91%
As A DECIMAL:0.91
B) - Calculate the NEW VALUE of the house:
NEW VALUE = OLD VALUE * REMAINING PERCENTAGE
NEW VALUE = 299,000 * 0.91
Draw the conclusion:
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
I hope it helps!
The digits 4, 5, 6, 7, and 8 are randomly arranged to form a five-digit number, Find the probability that the first and last digits of the number both are odd.
Answers
Answer:
5,4,6,7
Step-by-step explanation:
The digits 4, 5, 6, 7, and 8 are randomly arranged to form a five-digit number. Complete parts (a) and (b) below.
(a) Find the probability that the number is odd.
The probability that the number is odd
(Type an integer or a simplified fraction.)
(b) Find the probability that the first and last digits of the number both are odd.
The probability that the first and last digits of the number both are odd is
.
(Type an integer or a simplified fraction.)
Explain weather there is a possible transformation of f in the form g(x) =f(x)+k, where k is a constant for which the graph y=g(x) will have no x-intercepts. Enter your answer and your justification in the space provided.
Answers
Answer:
Yes, a transformation of f in the form g(x) =f(x)+k can have no x-intercepts. This will occur if the constant k is added to the y-value of every point on the f(x) graph, resulting in the chart of g(x) being shifted upward by k units. If the original diagram of f(x) had no x-intercepts, then the graph of g(x) would also have no x-intercepts because the x-coordinate of each point on the graph of f(x) is unchanged by the transformation.
Step-by-step explanation:
on the 9th of february 2012, the heights of the water in the bristol channel in cardiff, uk were as follows. low tide was 1.2 m at 2:00 am and high tide was 12.4 m at 7:56 am. assuming sinusoid periodicity, estimate the height of the water at sunset (5:16 pm on that day). give your answer as a decimal (in metres) rounded to 1 decimal place.
Answers
It should be close to 7m at around 5pm. In fact, this is the time of day when the water rises the fastest, so perhaps 8m
What is the period of the sinusoidal signal?The interval between successive peaks in the sinusoidal signal graph, or period, is only the number of seconds needed for one cycle of the sinusoid.
Are all sinusoidal sequences periodic?Depending on the values of angular frequency (), discrete-time sinusoidal sequences may or may not be periodic. A discrete-time sinusoidal signal must have an angular frequency () that is a multiple of 2 to be considered periodic.
It takes roughly 6 hours from low tide to high tide, or 12 hours for the entire tide cycle. Since low tide was at 2 a.m., low tide will be at around 2 p.m. as well. Three hours later, or at around 5 p.m., the water should be at the average level, which should be at (12.4+1.2)/2=6.8 m. Therefore, it should be close to 7m around 5:45. Actually, this is when the water rises the fastest, so it's probably close to 8m. Your 5.5m is obviously too low, regardless of where it is.
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jackson well middle school find area.
Answers
multiply each shapes by length x width
Step-by-step explanation:
an example:
5x3 is 15
then do that for all of the shapes in this photo then add all of your answer together to get you're area
hope this helps
Which rotation is shown in the
coordinate plane?
90° clockwise
90° counterclockwise
180° clockwise
270° counterClockwise
Answers
What is the reference angle for the angle with the measure 2x/3
Answers
The reference angle for the angle with the measure 2x/3 is 54⁰
How to determine the reference angle?You should understand that a reference angle is the acute angle to a given angle.
The given angle is 2x/3
We should understand that since the angle has the variable x
= x + 2x/3 = 90⁰
Simplifying the fraction to have
(3x+2x)/3 = 90
Cross and multiply we have 5x=270⁰
Making x the subject
x= 270/5
x=54⁰
Therefore, the reference angle with the measure 2x/3 is = 54⁰
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Highschool geometry please answer questions 8-10 in the attachment added
Answers
11. In a geometric sequence, t₂ = 24 and t5 = 81. Calculate S7, to the nearest hundredth.
Answer: 514.75
Answers
Answer:
S₇ = 514.75
Step-by-step explanation:
the nth term of a geometric sequence is
\(t_{n}\) = a\(r^{n-1}\)
where a is the first term and r the common ratio
given t₂ = 24 and t₅ = 81 , then
ar = 24 → (1)
a\(r^{4}\) = 81 → (2)
divide (2) by (1) to eliminate a
\(\frac{ar^{4} }{ar}\) = \(\frac{81}{24}\)
r³ = \(\frac{81}{24}\) ( take cube root of both sides )
\(\sqrt[3]{r^{3} }\) = \(\sqrt[3]{\frac{81}{24} }\)
r = 1.5
substitute r = 1.5 into (1) and solve for a
a × 1.5 = 24 ( divide both sides by 1.5 )
a = 16
the sum to n terms of a geometric sequence is
\(S_{n}\) = \(\frac{a(r^{n}-1) }{r-1}\) , then
S₇ = \(\frac{16((1.5)^{7}-1)) }{1.5-1}\)
= \(\frac{16(17.0859375-1)}{1.5-1}\)
= \(\frac{16(16.0859375)}{0.5}\) ( divide 16 by 0.5 )
= 32 × 16.0859375
= 514.75
help pls ill give extra points !:)
Answers
3). The ages of ten students randomly chosen from HND Secretryship and Management evening
session class are as follows: 19, 26, 27, 17, 38, 26, 25, 20, 33, 19.
i.
ii.
Compute the average age
The standard deviation of the ages.
Answers
The probability that a student who attends the first session also attends the second session is 1/3
Evaluating the probability
We can approach this problem by using conditional probability.
Let's use the notation "S1" to represent the event that a student attends the first session, and "S2" to represent the event that a student attends the second session.
Then we can use the formula for conditional probability:
P(S2 | S1) = P(S1 and S2) / P(S1)
We know that P(S1) = 0.6, since 60% of students attend the first session. We also know that P(S1 and S2) = 0.2, since 20% of students attend both sessions.
So we can plug in these values and solve for P(S2 | S1):
P(S2 | S1) = 0.2 / 0.6
P(S2 | S1) = 1/3
Therefore, the probability that a student who attends is 1/3 or approximately 0.333.
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complete question:
In a cooking class 20% of
the students attend two
sessions. 60% of students
attend the first session of
cooking class. What is the
probability that a student that
attends the first session also
attends the second session?
Michael invest $P at a rate of 3.8% per year compounded interest. After 30 years the value of this investment is $1,469. Calculate the value of P.
Answers
Answer:
Step-by-step explanation:
The formula for this is
\(A(t)=P(1+r)^t\) and we have everything but the P. Filling in:
\(1469=P(1+.038)^{30\) and
\(1469=P(1.038)^{30\) and
1469 = P(3.061403718) so
P = 479.85
Mathematics in the modern world
Answers
Answer:
Mathematics shaping the modern world.
What is the angle between the given vector and the positive direction of the x-axis?8i + 6j.
Answers
Answer:
The between the given vector and the positive direction of the x-axis is approximately 41.186º.
Step-by-step explanation:
Let be \(\vec u = 8\,i + 7\,j\) and \(\vec v = i\) (Positive direction of the x-axis), the angle between both vectors can be determined from definition of dot product:
\(\vec u \bullet \vec v = \|\vec u\|\cdot \|\vec v\| \cdot \cos \theta\)
Angle is cleared:
\(\cos \theta = \frac{\vec u\bullet \vec v}{\|\vec u\|\cdot \|\vec v\|}\)
\(\theta = \cos^{-1}\left(\frac{\vec u \bullet \vec v}{\|\vec u\|\cdot \|\vec v\|} \right)\)
The norms of \(\vec u\) and \(\vec v\) are found by Pythagorean Theorem:
\(\|\vec u\| = \sqrt{8^{2}+7^{2}}\)
\(\|\vec u\| \approx \sqrt{113}\)
\(\|\vec v\| = 1\)
The dot product between both vectors is:
\(\vec u \bullet \vec v = (8)\cdot (1) + (6)\cdot (0)\)
\(\vec u \bullet \vec v = 8\)
The angle is now calculated:
\(\theta = \cos^{-1}\left(\frac{8}{\sqrt{113}} \right)\)
\(\theta \approx 41.186^{\circ}\)
The between the given vector and the positive direction of the x-axis is approximately 41.186º.
For each graph below, state whether it represents a function.
Function?
Chuck
Graph 1
●
OYes
4-
2-
●
Graph 4
●●
No
Graph 2
OYes
O No
Graph 5
Graph 3
●
A
OYes
O No
Graph 6
Save For Later
© 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use
Answers
Answer:
a .yes
b.no
c
d.yes
e.no
f
g
h
round 796,154 to the nearest 1,000
Answers
5 and more add 1 more
4 and less give it a rest
796154=
1 = 4 and less give it a rest
796000 is the answer
Answer:
800,000
Step-by-step explanation:
hope it helps v b
Walking100
a) How many students ride in a tricycle, motorcycle and car going to their school
b) How many students ride in both a motorcycle and a tricycle?
c) How many students ride in both a motorcycle and a car?
d) How many students ride in both a car and tricycle?
e.)How many students go to school
in a car only;
in a motorcycle only;
30
Answers
Complete question :
The Venn diagram relating to the question can be found in the picture attached below :
Answer:
A.) 15 ; b.) 17 ; c.) 20 ; d.) 19 ; e.) 55 ; 67; 76 ;100 ; F.) 369
Step-by-step explanation:
Let :
Cars = C ; Motorcycle = M ; Tricycle = T ; Walking = W
a) How many students ride in a tricycle, motorcycle and car going to their school
Intersection of the 3 modes;
(C n M n T) = 15 ; it is the number which sits in between all the three circles.
B.) How many students ride in both a motorcycle and a tricycle?
(M n T) = 17 ; number in the middle of both circles representing motorcycle and tricycle
C.) How many students ride in both a motorcycle and a car?
(M n C) = 20 ; number in the middle of both circles representing motorcycle and Car
D) How many students ride in both a car and tricycle?
(C n T) = 19 ; number in the middle of both circles representing Car and tricycle
e.)How many students go to school
in a car only = 55
in a motorcycle only = 67
Tricycle only = 76
Walking = 100
F.) How many Grade Seven students of Koronadal National Comprehensive High School are there in all?
(100 + 67 + 76 + 55 + 19 + 20 + 17 + 15) = 369
Write the correct measurement for A-F (Example 2.2, 5.9, 9)
Answers
Answer:
9
Step-by-step explanation:
What is the value of one divided by zero?
Answers
Answer:
5
Step-by-step explanation:
Answer:
undefined
Step-by-step explanation:
1 ÷ 0 = undefined
It is still the case that 1 0 \frac10 01 can never be a real (or complex) number, so—strictly speaking—it is undefined.
There are 7 teachers going to the museum. There are 8 times as many students going as teachers. They will need 1 van for every 6 people.
Answers
The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.
The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.
Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.
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2/3 : 2/6 as a unit rate
Answers
Answer:
3/1
Step-by-step explanation:
8x - 8 = 7x simplified down
Answers
Step-by-step explanation:
Hope my answer helps mark me brainliest
Answer:
x = 8
Step-by-step explanation:
Step 1: Subtract 7x from both sides.
8x−8−7x=7x−7x
x−8=0
Step 2: Add 8 to both sides.
x−8+8=0+8
x=8
HGD
-ghost
please help i don’t feel like typing
Answers
Answer: q=13
Step-by-step explanation:
add the separate the q, add 4 to the 9= 13
13=q
In the diagram below, quadrilateral QRST is inscribed in circle U. Solve for x and
Y.
a
73
U
(x+6)
T
111°
R
(3y+44)
S
Answers
The solutions are x = 29° and y = 27°.
In the given quadrilateral, the angles are mentioned.
So,
Q = 79°
R = 109°
S = (6y - 61)°
T = (4x - 45)°
A quadrilateral is a polygon with four vertices, four sides, and four angles with a total angle of 360 degrees.
The quadrilateral makes two triangles when its diagonals are drawn. These two triangles have an angle total of 180 degrees. The quadrilateral's total angle sum is hence 360°.
So,
T + R = 180°
(4x - 45) + 109 = 180
4x + 64 = 180
4x = 180 - 64
4x = 116
Therefore, x = 116/4
x = 29°
S + Q = 180°
(6y - 61) + 79 = 180
6y + 18 = 180
6y = 180 - 18
6y = 162
Therefore,
y = 162/6
y = 27°
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Find the distance between:
(0, -7) and (-8,5)
Round your answer to the nearest hundredth.
Answers
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{0}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~-8 - 0~~)^2 + (~~5 - (-7)~~)^2} \implies d=\sqrt{(-8 +0)^2 + (5 +7)^2} \\\\\\ d=\sqrt{( -8 )^2 + ( 12 )^2} \implies d=\sqrt{ 64 + 144 } \implies d=\sqrt{ 208 }\implies d\approx 14.42\)
Answer:
4√13 or 14.422205101856
Step-by-step explanation:
Distance (d) = √(-8 - 0)2 + (5 - -7)2
= √(-8)2 + (12)2
= √208
= 4√13
= 14.422205101856
Using proportions to solve for missing sides.
RST~YSZ, find YZ.
Answers
Answer:
YZ = 28
Step-by-step explanation:
A proportion involving the known and unknown sides is ...
TR/ST = ZY/SZ
__
This proportion uses SZ, which is not shown on the diagram. The length of SZ can be found from ...
SZ +ZT = ST . . . . . . . segment sum theorem
SZ + 5 = 40 . . . . with given values
SZ = 35 . . . . . subtract 5
__
So, the proportion with values filled in is ...
(3x -7)/40 = (2x +2)/35
7(3x -7) = 8(2x +2) . . . . . . . multiply by 280
21x -49 = 16x +16 . . . . . . . eliminate parentheses
5x = 65 . . . . . . . . . . add 49 -16x
x = 13 . . . . . . . . divide by 5
YZ = 2x +2 = 2(13) +2
YZ = 28
_____
Additional comment
RT = 3x -7 = 3(13) -7 = 32
Which values of a,b,and c correctly represent the answer in simplest form 7/9 divied by 4/9 =
Answers
Answer:
\(7/4\)
Solution:
\(\frac{7}{9} /\frac{4}{9}\)
Reciprocal.
\(7/9(9/4)\)
Multiply.
\(\frac{63}{36}\)
Simplify
\(\frac{7}{4}\)
Mona had 32 math problems for homework. She completed 3/4 of them before dinner and the remaining 1/4 after dinner. How many problems did she complete before dinner?
Answers
Answer: 24 problems done before dinner
Step-by-step explanation:
Take the 32 total math problems and divide it by 3/4 (the amount of problems done before dinner) getting you 24 problems done before dinner