Answer:
s = 12t/33
Step-by-step explanation:
multiply through by 4 In order to remove the denominator from the equation
12t - s = 32s
making s the subject
32s + s = 12t
33s = 12t
s = 12t/33
A consumer wanted to find out how accurate Siri (an Apple digital assistant) is, so he asked questions on general facts and recorded how many Siri got right. Out of the 84 questions he asked Siri, Siri responded correctly to 73 of them. What is the estimate of the population proportion
Answer:
The answer is "0.869"
Step-by-step explanation:
Number of sample [tex](n) = 84[/tex]
Number of correct response [tex](X) = 73[/tex]
Calculating the Sample proportion:
Formula:
[tex]\text{Sample proportion}=\frac{\text{number of sample}}{\text{correct responses}}[/tex]
[tex]=\frac{n}{X}\\\\= \frac{73}{84} \\\\=0.869[/tex]
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]
There are 6 roses in a vase of 11 flowers. The rest are daisies. What is the ratio of all flowers in the vase to daisies (PICTURE) (BRAINLEST TO BEST ANSWER)
Answer:
a) 6:5
b) 11:5
(Daisies: 11-6=5)
The ratio of all flowers in the vase to daisies is 11 : 5.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that there are 6 roses in a vase of 11 flowers. The rest are daisies.
The number of daisies in the vase → n{d} = 11 - 6 = 5.
Total number of flowers in the vase → n{t} = 11.
The ratio of all flowers in the vase to daisies is -
r = n{t}/n{d} = 11 : 5
r = 11 : 5
Therefore, the ratio of all flowers in the vase to daisies is 11 : 5.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
Find the missing terms.
3, _____, _____, 21 (arithmetic)
Answer:
3, 9, 15, 21
Step-by-step explanation:
3x1=3 v
3x2=6
3x3=9 v
3x4=12
3x5=15 v
3x6=18
3x7=21 v
Skip one each time, 3, 9, 15, 21
Graded Assignment Unit Test, Part 2: More Math Models Answer the questions. When you have finished, submit this assignment to your teacher by the due date for full credit. Total score: ____ of 18 points (Score for Question 1: ___ of 10 points) 1. There are 400 rice weevils at the beginning of an insect study. The population is expected to grow at a rate of 150% each week. (a) Write and simplify a formula that can be used to predict the rice weevil population for any week after the beginning of the study. (b) Use the formula to predict the rice weevil population 10 weeks after the beginning of the study. Show your work. (c) Use the formula to predict when the rice weevil population will reach 1,000,000,000. Show your work. Answer:
Answer:
Y(n) = 400(2.5)^n
Y = 3,814,697 rice weevils
16.1 weeks
Step-by-step explanation:
To predict the population of rice weevil for any week after the start of the study ; wwe use an exponential function for this purpose :
y(n) = A(1 + r)^n
Where;
Y(n) = population at week n
r = growth rate ; n = number of weeks
A = initial population at the start of the study
r = 150% = 1.5
Hence, we have the equation :
Y(n) = 400(1 + 1.5)^n
Y(n) = 400(2.5)^n
B.)
Population after 10 weeks
n = 10
Y(10) = 400(2.5)^10
Y = 400 * 9536.7431640625
Y = 3814697.265625
Y = 3,814,697 rice weevils
C)
When population will reach 1,000,000,000
We have :
1,000,000,000 = 400(2.5)^n
1000000000 / 400 = 2.5^n
2500000 = 2.5^n
Take the log of both sides :
log(2500000) = nlog(2.5)
6.3979400 = n * 0.3979400
n = 6.3979400 / 0.3979400
n = 16.077649
n = 16.1 weeks approximately
Order of Operations
1) (35 - 5) - 5 - 22
6 ) (53 - 5) + 12 + 2?
I need help ASAP please due tomorrow
Answer:
answers are 3 and 62
Step-by-step explanation:
the answers were give above. If further instruction needed lmk :)
Hurry plz what is the following prouduct?
Answer:
2nd one
Step-by-step explanation:
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
Answer:
A
Step-by-step explanation:
A transport company is greatly reducing the amount of oil it uses—but by how much? What number should be below the final barrel?
Answer:
2
Step-by-step explanation:
first nomber,
19247
second nomber,
7429
third nomber,
924
fourth nomber,
42
fifth nomber,
2
Answer:
2
Step-by-step explanation:
no. 1 is 19247
no. 2 is 7429 ,so the last four number of 19247 are reply
no. 3 is 924 ,so the last three number of 7429 are reply
no. 4 is 42 ,so the last two number of 924 are reply
no. 5 is 2,so, the last number of 42 are reply
Find the area of 18 ft in height and 9 1/4 in base
Answer:
Triangle+ 83.25
Square/ Rectangle = 166.5
Step-by-step explanation:
I need the shape specified
Help pls, the question is in the picture. I'm to lazy to do the math today. I hate math.
Answer:
C
Step-by-step explanation:
Both models represent half of the gymnasium, its just that one is vertical and one is horizontal. Both are basically correct. C is the right answer since it says both models are correct. Each class also does occupy 1/12 of the gymnasium since they get 1/6 of 1/2 of the gymnasium. Of means multiply so 1/6 * 1/2 = 1/12.
In ABC, if sin A= 4/5
and tan A=4/3
then what is cos A?
Answer:
in ABC if sin A= 4/5
and tan A=4/3
then cos is
cosA=3/5
Pls Help! I will give Brainliest!
Answer:
45 = 3z
Step-by-step explanation:
On the left we have 45
On the right we have 3 z's
45 = 3z
Answer:
45 = 3 z
Step-by-step explanation:
LHS = 45RHS = z + z + z = 3 zLHS = RHS.
45 = 3 z
i need help identifying solutions
Answer:
3,1 I'm pretty sure lol....
Patrick is keeping track of how far he jogs each morning.
Use a ratio in lowest terms
to represent how much
farther he ran today
The ratio of
420 m to 1 km =
Answer:
21:50
Step-by-step explanation:
We need to find the ratio of 420 m to 1 km.
We know that,
1 km = 1000 m
So,
The ratio becomes,
[tex]\dfrac{420\ m}{1\ km}=\dfrac{420\ m}{1000\ m}\\\\=\dfrac{42\ m}{100\ m}\\\\=\dfrac{21}{50}[/tex]
So, the required ratio is 21:50.
Y is directly proportional to
the square of (x - 1). y=63
when x=4. find the value of y
when x=6.
Answer:
y = 100
Step-by-step explanation:
y [tex]\alpha[/tex] [tex](x -1)^{2}[/tex]
y = c ([tex]x^{2}[/tex] - 2x + 1)
When y = 63, x = 4;
63 = c ([tex]4^{2}[/tex] - 2(4) + 1)
= 9c
63 = 9c
c = [tex]\frac{63}{9}[/tex]
c = 7
Thus,
y = 4([tex]x^{2}[/tex] - 2x + 1)
The value of y when x = 6 can be determined as;
y = 4([tex]6^{2}[/tex] - 2(6) + 1)
= 4(25)
y = 100
Therefore, y = 100
Suppose a student applies for early admission. What is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process (to 4 decimals)
Answer: Hello your question is complete attached below is the complete question
answer :
P ( student will be admitted early or deferred and later admitted ) = 0.4232
Step-by-step explanation:
P ( student will be admitted early or deferred and later admitted )
= (number of student admitted early + percentage of admitted students initially deffered * number of deffered students ) / Total number of early applications
= ( 1033 + 0.18 * 964 ) / 2851
= 0.4232
Hopefully the photo posted...
The teacher of a statistics class records the heights (in inches) of his students and draws a box-and-whisker plot to look over the data collected. This box-and-whisker plot shows theresult. (a) What is the median height? (b) What is the range of heights?
Answer:
a) Median Height = 66 inches
b) Range of Heights = 18 inches
Step-by-step explanation:
a) The median in a box-and-whisker plot is the second quartile, located between the first and third quartiles indicated by the dashed line. Therefore, the median height is 66 inches.
b) The range in a box-and-whisker plot uses the same process of finding the range of a set of data. You find the difference between the maximum and the minimum values of the data. Therefore, the range of heights is 77 - 59 = 18 inches.
Solve for x. Round your answer to the nearest thousandth.
Answer:
b
Step-by-step explanation:
Which solid figure has the following net?
cone
triangular pyramid
triangular prism
square pyramid
Answer:
Triangular Pyramid
Drink coffee Do not drink coffee Total Drink water 0.3 0.24 0.54
Do not drink water 0.25 0.21 0.46 Total 0.55 0.45 1.00
Let A represent drinking coffee and B represent drinking water.
Which statement is true?
Drinking coffee and drinking water are not independent events because P(A|B)≠P(A)and P(B|A)≠P(B).
Drinking coffee and drinking water are not independent events because P(A|B)=P(A) and P(B|A)=P(B).
Drinking coffee and drinking water are independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .
Drinking coffee and drinking water are independent events because P(A|B)=P(A)and P(B|A)=P(B).
Answer:
Drinking coffee and drinking water are independent events because
P(A|B)=P(A)and P(B|A)=P(B)
Step-by-step explanation:
Drinking coffee and water are independent events. People can choose to have both, none or any one. It is on their own will. Those who drink coffee can also drink water. The total of people who drink coffee may include those who drink water also.
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 26 inches, and the length of the base is 9 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Answer:
The triangle's perimeter is 61.77 inches.
Step-by-step explanation:
Since an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles, and as a result, the altitude cuts the base into two equal segments, and the length of the altitude is 26 inches, and the length of the base is 9 inches, to find the triangle's perimeter the following calculation must be performed:
Isosceles triangle = 2 equal sides
To obtain the value of the sides, the Pythagorean theorem must be applied on the right triangle formed with the altitude.
(9/2) ^ 2 + 26 ^ 2 = X ^ 2
4.5 ^ 2 + 26 ^ 2 = X ^ 2
20.25 + 676 = X ^ 2
√ (20.25 + 676) = X
√696.25 = X
26.38 = X
26.3865 x 2 + 9 = X
52.77 + 9 = X
61.77 = X
Therefore, the triangle's perimeter is 61.77 inches.
Which set of side lengths forms a right triangle?
O 2,3, 13
O 4,6, 10
O 9, 12, 18
O 15, 36, 39
Awnser:
9,12,18
Step-by-step explanation:
you have to add the smallest numbers together and it has to be greater that the greatest number.
9+12= 21
21>18
What's X in the diagram??
========================================================
Explanation:
Angles EGD and BGF are vertical angles. Both are unknown and equal to x.
Notice how angle AGD is adjacent to angle CGD. These two angles form a straight angle (180 degrees) and angle CGD is a right angle. That must mean AGD is also a right angle.
Angles AGE and EGD must add to 90 degrees since AGD is 90
----------
(angleAGE)+(angleEGD) = (angle AGD)
(30) + (x) = 90
x = 90-30
x = 60
What is the value of Y if x=1
Answer:
y=6
the first equation:
3(1)+y=9
3+y=9
y=6
the second equation:
y= -4(1)+10
y= -4+10
y=6
I hope this helped! :)
The figure below shows a circle with segment AB as it's diameter. The center of the circle is NOT known. A square needs to be inscribed in the circle with A and B as a pair of opposite vertices.
Which step will be used in the construction? PLEASE HELP
A. constructing four arcs on the circles circumference with the compass width as the radius
B. constructing a segment that is tangent to the circle at point A
C. constructing a perpendicular to a line segment through a point not lying on it.
D. constructing a perpendicular bisector of a line segment.
Answer:
its b i took the test
Step-by-step explanation:
If t is time in hours, what does this function represent?
f(t) = 2.0.3^t
A. a 30-percent increase every hour
B. a 30-percent decrease every hour
C. a 70-percent decrease every hour
D. a 100-percent increase every hour
Answer:
C. a 70-percent decrease every hourStep-by-step explanation:
Given function:
f(t) = 2.0*(0.3)^tThis is exponential decay because:
0.3 = 1 - 0.7 = 100% - 70%and it represents 70% decrease every hour (if it is time in hours)
Correct choice is C
Which expression is equivalent to 30 (1/2 x-2)+40(3/4y-4)
Answer:
15x+30y-220
Step-by-step explanation:
Find the measure if the missing angle.
Answer: a=
Answer:
by straight line property
a+156=180
a= 180-156
a=24°
Answer:
a=24
expanation
360 divided by 2 is 180 and 180 minus 156 equals 24
The cost of a large cake at a bakery is $21.00. The cost of a small cake is
$8.25. The bakery also charges a sales tax of 8.25% and a delivery cost of
$10.50 for each order. The following expression represents the cost of an
(1) order
1.0825(21x + 8.25y) + 10.5
What does the term (21x + 8.25y) represent?
A А
the total cost of the order before delivery
the total delivery cost of the order
B
the total cost of the large cakes ordered
the subtotal cost of all the cakes ordered
before tax and delivery
Answer:
The Subtotal cost of all the cakes before tax and delivery
Step-by-step explanation:
(21x+8.25y)
21 is the price of 1 large cake and X is the number of cakes they want to purchase not counting tax and delivery fee.
8.25 is the price of 1 small cake and Y is the number of cakes they want to purchase not counting tax and delivery fee.
Rita made $289 for 17 hours of work. At the same rate, how much would she make for 13 hours of work?
Answer:$221
Step-by-step explanation:
Divide 289 by 17
Get 17, then multiply by 13.
Answer:
$221
Step-by-step explanation:
Use unit rates. First find out how much money Rita makes per hour. To do this, simply divide 289/17=17. Rita makes $17 per hour. We want to find out how much money she makes in 13 hours of work. So, we just need to multiply 17$*13=$221
Hope this helps!