Answer:
z=2
Step-by-step explanation:
56-35z+17=3
73-35z=3
-35z=-70
z=2
When AE = 7, EC= 14, CB= 24, what is ED?
Answer:
ED = 8
Step-by-step explanation:
AC = 21 which means AE is 1/3 of the length of AC.
So, ED must also be 1/3 of the length of BC.
1/3 x 24 = 8
Suppose you have been on the train for at least 5 hours. A passenger
says that the trip to Fairbanks takes 10 hours. Write an inequality
that describes in how many more hours h the train will reach
Fairbanks.
Answer:
[tex]h \leq 5[/tex]
Step-by-step explanation:
Time already spent on the train is at least 5 hours
Since the trip to Fairbanks take 10 hours, we have that, the sum of the number of hours left, h and the time already spent will be equal to 10.
[tex]t+h=10\\$Since the time for which the passenger has been on the train \geq 5\\5+h \leq 10\\h \leq 10-5\\$The inequality that describes in how many more hours, h the train will reach Fairbanks, therefore, is:\\h \leq 5[/tex]
g(x) = -10x2+ 490
lesser x=
greater x =
Answer:
Greater x =+ 7
Lesser x = -7
Step-by-step explanation:
G(x) = -10x2+ 490
Let the left side = 0
So we have
0= -10x2+ 490
Solving the above now by allowing the variable with the coefficient of x cross the equal sign.
10x²= 490
Dividing by 10
X²= 490/10
X² = 49
Taking the root of both sides
X= √49
X = + 7or -7
Bigger x =+ 7
Smaller x = -7
8. If3:8=c:56, the value of c will be
The scale for the second values is 56/8 = 7
C = 3 x 7 = 21
C= 21
How do i find the measure?
Answer: angle A = 72 and angle C = 72
Step-by-step explanation:
Angle A and C are opposites so they have to equal each other so do the equation 3y+27=5y-3. y would come out to be 15 and so to find the angles you would replace y with 15.
An ice-cream shop uses the following ingredients to make one sundae.
Ingredients. Amount
Ice-cream- 2 scoops
Sprinkles- 4 spoonful's
Whipped Cream- 2 tablespoons
72 sundaes are needed to meet customer demand. Calculate the ratio of ingredients needed to meet his demand.
An urn contains 9 red marbles, 9 white marbles and 8 blue marbles. A child randomly selects three (without replacement).
what is the probability that all have the same color?
Answer:
8.62% probability that all have the same color
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the marbles are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
What is the probability that all have the same color?
Desired outcomes:
Either all red(from a set of 9), all white(from a set of 9) or all blue(from a set of 8). So
[tex]D = C_{9,3} + C_{9,3} + C_{8,3} = \frac{9!}{3!6!} + \frac{9!}{3!6!} + \frac{8!}{3!5!} = 224[/tex]
Total outcomes:
3 marbles, from a set of 9 + 9 + 8 = 26. So
[tex]T = C_{26,3} = \frac{26!}{3!23!} = 2600[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{224}{2600} = 0.0862[/tex]
8.62% probability that all have the same color
According to the National Center for Health Statistics, in 1990, 28 % of babies in the United States were born to parents who were not married. Throughout the 1990s, this increased by approximately 0.6 % per year. If this trend continues, in which year will 76 % of babies be born out of wedlock?
Answer:
76 % of babies will be born out of wedlock in the [tex]81^{st}[/tex] year
Step-by-step explanation:
Given: In 1990, 28 % of babies in the United States were born to parents who were not married. This increased by approximately 0.6 % per year.
To find: year when 76 % of babies born out of wedlock
Solution:
A sequence is said to be in arithmetic progression if the difference between the terms is same.
For a sequence with first term as 'a' and common difference as 'd', the nth term is given by [tex]a_n=a+(n-1)d[/tex]
The given situation also forms an arithmetic progression with [tex]a=28\,,\,d=0.6[/tex]
Also, put [tex]a_n=76[/tex]
So,
[tex]a_n=a+(n-1)d\\76=28+(n-1)(0.6)\\76-28=0.6(n-1)\\48=0.6(n-1)\\\frac{48}{0.6}=n-1\\\\80=n-1\\n=80+1\\n=81[/tex]
So, 76 % of babies will be born out of wedlock in the [tex]81^{st}[/tex] year
Find the gradient of the line y+2x= -1
BONUS: Find the y-intercept of the line 2y=10x-10
The Statue of Liberty in New York stands on top of a foundation and a pedestal. The statue, including foundation and pedestal, measures about 305 feet from the ground to the top of the statue’s torch. The statue herself stands 151 feet. What is the height of the foundation and pedestal?
Answer:
The answer is 154 ft.
Step-by-step explanation:
You would take the total height (305) and subtract is by the actual statue(151) to get your answer.
305-151=154
Answer:
154
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
c.
Step-by-step explanation:
solve the expression x + 3 = 7
Answer:
x=4
Step-by-step explanation:
think of the equation like this: you have to do the inverse(opposite) operations so for adding you would subtract it. So for the adding 3 you would subtract it from both sides of the equation and get X=4
Find the product of LCM and HCF of 3 and 15
Answer:
45
please see the attached picture for full solution
hope it helps
Good luck on your assignment
A certain type of tree has seedlings randomly dispersed in a large area, with the mean density of seedlings being approximately five per square metre. If a forester randomly locates ten 1-square-metre sampling regions in the area, find the probability that none of the regions will contain seedlings.
Answer:
Step-by-step explanation:
The probability that the forester does not get the seedlings is 1/2 if the mean density of seedlings is 5 per square metre.
What is density?Density means the area within which a substance is collected or taken.
How to calculate the probability?We have been given the mean density =5 square metre.
And we have to calculate the probability that the forester will not get any seedlings.
So the probability that he will get the seedlings will be=5/10
which is 1/2
So the probability that he will not get the seedlings will be 1-1/2
that is 1/2.
Hence the probability that he will not get seedlings will be 1/2.
Learn more about probability at https://brainly.com/question/24756209
#SPJ2
A house and a lot are apprised at $212,400.If the value of the house is four times the value of the lot, how much is house worth?
Eight men and eight women have six tickets in one row to the theater. In how many ways can they sit if the first person in the row is a woman and the people alternate woman, man, woman, man and so on?
Answer:
As there are six seats in a row and the first person in the row is a woman and the people alternate woman, men, the possibility is
W
M
W
M
W
M
in that order.
Now as we four women, three seats for women can be filled in
X
4
P
3
=
24
ways
and similarly as we four men, three seats for men can be filled in
X
4
P
3
=
24
ways
Hence, total
24
×
24
=
576
permutations.
Step-by-step explanation:
Choose at random a person aged 20 to 39 years. Ask their age and marital status (never married, married, or widowed/divorced/separated). Offered is the probability model for 12 possible answers. Age in years 20 – 24 25 – 29 30 – 34 35 – 39 Never married 0.227 0.156 0.089 0.054 Married 0.027 0.086 0.137 0.148 Widowed/divorced/separated 0.006 0.015 0.022 0.033 (a) Is this a legitimate finite probability model? Select the correct description. No. This is not a legitimate finite probability model because each probability is between 0 and 1 , and all sum to 1 . Yes. This is a legitimate finite probability model because each probability is between 0 and 1 , and all sum to 1 . Yes. This is a legitimate finite probability model because the probabilities are all greater than 0 and do not sum to 1 . No. This is not a legitimate finite probability model because the probabilities are all greater than 0 and do not sum to 1 . (b) What is the probability that the person chosen is a 20 ‑ to 24 ‑ year‑old who is married? (Enter your answer rounded to three decimal places.) P(20‑ to 24‑year‑old who is married)= (c) What is the probability that the person chosen is 20 – 24 years old? (Enter your answer rounded to three decimal places.) P(20–24 year old)= (d) What is the probability that the person chosen is married? (Enter your answer rounded to three decimal places.) P(married)=
Answer:
(a)(B)Yes. This is a legitimate finite probability model because each probability is between 0 and 1 , and all sum to 1 .
(b)P(20‑ to 24‑year‑old who is married)=0.027
(c)P(20–24 year old)=0.26
(d)P(married)=0.398
Step-by-step explanation:
Given the probability model below:
[tex]\left\begin{array}{|c|c|c|c|c|}$Age in years& 20 - 24& 25 - 29& 30 - 34& 35 - 39\\$Never married& 0.227& 0.156& 0.089& 0.054\\ $Married &0.027& 0.086& 0.137& 0.148\\$Widowed/divorced/separated &0.006 &0.015& 0.022& 0.033\end{array}\right\\[/tex]
(a)
Adding the probability for each row, we obtain: 0.227+0.156+0.089+0.054=0.5260.027+0.086+0.137+0.148=0.3980.006+0.015+0.022+0.033=0.0760.526+0.398+0.076=1
Therefore this is a legitimate finite probability model because each probability is between 0 and 1 , and all sum to 1 .
(b) The probability that the person chosen is a 20‑24-year‑old who is married
P(20‑ to 24‑year‑old who is married)=0.027
(c)Probability that the person chosen is 20 – 24 years old
P(20–24 year old)=0.227+0.027+0.006=0.26
(d)Probability that the person chosen is married
P(married)=0.027+0.086+0.137+0.148=0.398E. coli bacteria have a doubling time of 20 minutes. Starting with 30 E. coli bacteria, how many will there be 6 hours later? Group of answer choices 7,864,410 7,864,320 7,864,452 7,864,821
Answer: 7,864,320
Step-by-step explanation:
Because the doubling time is 20 minutes, the bacteria would have gone through binary fission(cell division in bacteria) 18 times after 6hours(6*60/20)
Nt=N0 * 2^n
N0=starting population
n=number of times bacteria divide
So
30*2^18=7,864,320
The factory quality control department discovers that the conditional probability of making a manufacturing mistake in its precision ball bearing production is 4\%4% on Tuesday, 4\%4% on Wednesday, 4\%4% on Thursday, 8\%8% on Monday, and 12\% on Friday.The Company manufactures an equal amount of ball bearings (20\ %) on each weekday. What is the probability that a defective ball bearing was manufactured on a Friday
Answer:
The probability that a defective ball bearing was manufactured on a Friday = 0.375
Step-by-step explanation:
Let the event of making a mistake = M
The event of making a precision ball bearing production on Monday = Mo
The event of making a precision ball bearing production on Tuesday = T
The event of making a precision ball bearing production on Wednesday = W
The event of making a precision ball bearing production on Thursday = Th
The event of making a precision ball bearing production on Friday = F
the conditional probability of making a manufacturing mistake in its precision ball bearing production is 4% on Tuesday, P(M|T) = 4% = 0.04
4% on Wednesday, P(M|W) = 0.04
4% on Thursday, P(M|Th) = 0.04
8% on Monday, P(M|Mo) = 0.08
and 12% on Friday = P(M|F) = 0.12
The Company manufactures an equal amount of ball bearings (20 %) on each weekday, Hence, the probability that a random precision ball bearing was made on a particular day of the week, is mostly the same for all the five working days.
P(Mo) = 0.20
P(T) = 0.20
P(W) = 0.20
P(Th) = 0.20
P(F) 0.20
The probability that a defective ball bearing was manufactured on a Friday = P(F|M)
P(F|M) = P(F n M) ÷ P(M)
P(F n M) = P(M n F)
P(M) = P(Mo n M) + P(T n M) + P(W n M) + P(Th n M) + P(F n M)
We can obtain each of these probabilities by using the expression for conditional probability.
P(Mo n M) = P(M|Mo) × P(Mo) = 0.08 × 0.20 = 0.016
P(T n M) = P(M|T) × P(T) = 0.04 × 0.20 = 0.008
P(W n M) = P(M|W) × P(W) = 0.04 × 0.20 = 0.008
P(Th n M) = P(M|Th) × P(Th) = 0.04 × 0.20 = 0.008
P(F n M) = P(M|F) × P(F) = 0.12 × 0.20 = 0.024
P(M) = P(Mo n M) + P(T n M) + P(W n M) + P(Th n M) + P(F n M)
P(M) = 0.016 + 0.008 + 0.008 + 0 008 + 0.024 = 0.064
P(F|M) = P(F n M) ÷ P(M)
P(F n M) = P(M n F) = 0.024
P(M) = 0.064
P(F|M) = P(F n M) ÷ P(M) = (0.024/0.064) = 0.375
Hope this Helps!
The product of - 6 and a number x, increased by 23 is – 163. What is
the number?
Answer:
Hope this is correct
If a rock falls from a height of 43 meters on Earth, the height H (in meters) after x seconds is approximately Upper H (x )equals 43 minus 4.9 x squared . (a) What is the height of the rock when xequals1.6 seconds? The height of the rock when xequals1.6 seconds is nothing meters.
Answer:
2.96 seconds
Step-by-step explanation:
Let H(x) = zero and solve for "x".
43 - 4.9x² = 0
4.9x²=43
x²=8.77
x=2.96
therefore, approximately when x=2.96seconds, the rock strike the ground.
Please select the word from the list that best fits the definition
treinta y cinco
2 Points
This graph shows the solutions to the inequalities y> 3x+6 and y<3x - 7
Does the system of inequalities have solutions? If so, which region contains
the solutions?
A
B
С
O A. There are no solutions
B. There are solutions, and they are the points in region C.
O C. There are solutions, and they are the points in region A.
O D. There are solutions, and they are the points in region B.
Answer:
Option (A)
Step-by-step explanation:
Two inequalities have been given as,
y > 3x + 6 --------(1)
y < 3x - 7 ------(2)
Inequality (1) shows the solution area shaded in blue, means all the solutions for the inequality will lie in the blue area.
Similarly, solutions of inequality (2) will lie in red area.
No common area for the inequalities.
Therefore, system of inequalities will have no solution.
Option (A) will be the answer.
PLEASE HELP!!! Two towns are 1100 miles apart. A group of hikers starts from each town and walks down the trail toward each other. They meet after a total hiking time of 240 hours. If one group travels one half mile per hour slower than the other group, find the rate of each group.
Answer:
2.54 miles/hr
2.04 miles/hr
Step-by-step explanation:
Given: Distance between the two towns = 1100 miles
Difference between speeds = [tex]\frac{1}{2}[/tex] miles/hr
Total time when they meet = 240 hours
To find:
Let distance traveled by first group = [tex]x[/tex] miles.
Now, the distance traveled by second group = (1100-[tex]x[/tex]) miles/hr
The relation between Speed, Time and Distance is given as:
[tex]\text{Speed =} \dfrac{\text{Distance}}{\text{Time}}[/tex]
Let speed of first group = [tex]S_1[/tex]
[tex]S_1 = \dfrac{x}{240}[/tex]
Let speed of second group = [tex]S_2[/tex]
[tex]S_2 = \dfrac{1100-x}{240}[/tex]
As per question, [tex]S_1[/tex] = [tex]S_2[/tex] + [tex]\frac{1}{2}[/tex]
[tex]\dfrac{x}{240} = \dfrac{1100-x}{240} + \dfrac{1}{2}\\\Rightarrow \dfrac{x}{240} - \dfrac{1100-x}{240} = \dfrac{1}{2}\\\Rightarrow \dfrac{x-1100+x}{240} = \dfrac{1}{2}\\\Rightarrow 2x - 1100 = 120\\\Rightarrow 2x = 1220\\\Rightarrow x = 610 ft[/tex]
Now,
[tex]S_1 = \dfrac{x}{240}[/tex]
Putting value of [tex]x[/tex]:
[tex]S_1 = \dfrac{610}{240}\\\Rightarrow S_1 = 2.54\ miles/hr[/tex]
Similarly, putting value of [tex]x[/tex] in [tex]S_2[/tex]:
[tex]S_2 = \dfrac{1100-610}{240}\\\Rightarrow S_2=\dfrac{490}{240}\\\Rightarrow S_2 = 2.04\ miles/hr[/tex]
simplificar A=4x2-6x2+7x2-20x2+19x2
Answer:
4x²
Step-by-step explanation:
Your equation is 4x² - 6x² + 7x² - 20x² + 19x².
Since they all have the same variable, simply combine them all to find your answer.
4x² - 6x² + 7x² - 20x² + 19x²
-2x² + 7x² - 20x² + 19x²
5x² - 20x² + 19x²
-15x² + 19x²
4x²
Given points (r1, u1 ) and (r2, u2) in polar coordinates, obtain a general formula for the distance between them. Simplify it as much as possible using the identity cos2 u 1 sin2 u 5 1. Hint: Write the expressions for the two points in Cartesian coordinates and substitute into the usual distance formula.
Answer:
[tex]d=\sqrt{r_1^2+r_2^2-2r_1r_2\cos(u_2-u_1)}[/tex]
Step-by-step explanation:
The Law of Cosines gives an immediate result. No translation to Cartesian coordinates is necessary. That law makes use of the angle between the vectors, u2-u1
[tex]d^2=r_1^2+r_2^2-2r_1r_2\cos(u_2-u_1)\\\\\boxed{d=\sqrt{r_1^2+r_2^2-2r_1r_2\cos(u_2-u_1)}}[/tex]
Could someone give me the answer to this.
Answer:
B =33.69
Step-by-step explanation:
Since this is a right triangle, we can us trig functions
tan B = opposite side/ adj side
tan B = 6/9
Take the inverse tan of each side
tan ^ -1 tan B = tan ^-1 (6/9)
B =33.69006753
To the nearest hundredth
B =33.69
Answer:
33.69°
Step-by-step explanation:
From Trigonometry identity;
Tan<B = 6/9 = 2/3 [opposite/adjacent]
B = Tan^{-1} 2/3
=33.69°
Find the volume of a rectangular prism if the length is 2x, the width 4x^2, and the height is 2x^2+x+7
Answer:
V=16x^5+8x^4+56x^3.
Step-by-step explanation:
The volume of the rectangular prism is V=16x^5+8x^4+56x^3.
Formula for rectangle prism: V=whl
Formula: L*W*H
Answer: V=16x^5+8x^4+56x^3
Hope this helps.
Simplify this God please
Answer:
10
Step-by-step explanation:
[tex] \frac{ \sqrt{75a} + \sqrt{12a} + \sqrt{27a} }{ \sqrt{3a} } \\ \frac{ \sqrt{(25 \times 3)a} + \sqrt{(4 \times 3)a} + \sqrt{(9 \times 3)a} }{ \sqrt{3a} } \\ \frac{ 5\sqrt{3a} + 2 \sqrt{3a} + 3\sqrt{3a} }{ \sqrt{3a} } \\ \frac{(5 + 2 + 3) \sqrt{3a} }{ \sqrt{3a} } = 10[/tex]
Answer: See below
Step-by-step explanation:
My old math notebook had simillar question,hope that help
√75a+√12a-√27a/√3a
=√a(3*25)+√a(3*4)+√a(3*9)/√3a
=√25*√3a+√4*√3a+√9*√3a/√3a
=(5+2+3)√3a/√3a
=5+2+3=10
Create an expression that fits all of the following conditions: There are exactly four terms. Exactly two of the terms are like terms. At least one term is an integer. Simplify the expression that you created.
Answer:
The expression created is: [tex]3x^2+3x+8x-7[/tex]
Simplified, we obtain : [tex]3x^2+11x-7[/tex]
Step-by-step explanation:
We are to create an expression that satisfies the following conditions
There are exactly four terms. Exactly two of the terms are like terms. At least one term is an integer.Let the two like terms be 3x and 8x
Let the integer term = -7
Let the other term [tex]=3x^2[/tex]
Our written expression is therefore:
[tex]3x^2+3x+8x-7[/tex]
We simplify the expression by solving the like terms for a single term
[tex]3x+8x=11x\\$Therefore\\3x^2+3x+8x-7=3x^2+11x-7[/tex]
