Answer:
0.4459
Step-by-step explanation:
Let the random age variable, X = 4.5; mean,∪ = 4.8; standard deviation, α = 2.2
By comparing P ( 0≤ Z ≤ 4,8)
P(Z ≤ X - ∪/α) = P(Z ≤ 4.5 - 4.8/2.2) = P(Z ≤ - 0.136)
Using the table: P(0≤ Z ≤ 1) = 0.0541
P(Z > 1) = (0.5 - 0.0541) = 0.4459
∴ P(Z > 4.5) = 0.4459
How many degrees has been rotated counterclockwise about the origin? A. 90 B. 360 C. 180 D. 270
Answer:
A - 270°
Step-by-step explanation:
The number of degrees has been rotated counterclockwise about the origin should be considered as the 90 degrees.
Rotating of the point:At the time when the rotation is done with respect to the point so here it should be 90 degrees counterclockwise about the origin. Also, we have to switch x and y and make y to be negative.
Therefore, the first option is correct.
hence, The number of degrees has been rotated counterclockwise about the origin should be considered as the 90 degrees.
Learn more about number here: https://brainly.com/question/24353799
10. The population of India is 1.353 billion, and expected to grow at the rate of one percent
annually for the forseeable future. Assuming population continues to grow at the same percent
rate, how long until the population reaches 2 billion people? Give your answer to the nearest
year. (4 minutes)
Answer:
39 years
Step-by-step explanation:
Adapt the formula A = P(1 + r)^n, letting P represent the original population, r the growth rate as a decimal fraction, and n the number of years.
Solve this for n:
2 billion = (1.353 billion)(1 + 0.01)^n
After simplification, we have:
2
--------- = 1.01^n
1.353
Taking the log of both sides, we get:
log 2 - log 1.353 = n log 1.01, or
log 2 - log 1.353 0.1697
------------------------ = -------------- = 39 years (rounded off from 39.28)
log 1.01 0.0043
Every 1 3/4 teaspoon of a multiple vitamin, in granular form, contains 0.85 the minimum daily requirement of vitamin A. How many teaspoons of this vitamin are required to supply 2.25 the minimum daily requirement?
Answer:
about 4.63 teaspoons
Step-by-step explanation:
You can write the proportion ...
(teaspoons)/(fraction of RDA) = 1.75/0.85 = x/2.25
where x represents the unknown number of teaspoons. Multiplying by 2.25 gives you ...
x = 2.25(1.75/0.85) = 4.632...
About 4.63 teaspoons of vitamin will supply 2.25 times the RDA.
___
That's between 4 5/8 and 4 2/3 teaspoons, roughly 22.8 mL.
Which expression has a negative value? 2 + 12 (negative 3) (negative 8) 10 minus (negative 18) Negative 35 divided by 5 Mark
Answer: 35 ÷5 is the negative value
Answer: D
Step-by-step explanation:
show that 7 1/2 - 4 2/3 = 2 5/6
Equation is [tex]7\frac{1}{2} -4\frac{2}{3}=2\frac{5}{6}[/tex] is true.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is [tex]7\frac{1}{2} -4\frac{2}{3}=2\frac{5}{6}[/tex]
We need to check whether the left hand side is equal to right hand side.
These are in the form pf mixed fraction we can convert them to the improper fraction.
[tex]7\frac{1}{2}=15/2[/tex]
[tex]4\frac{2}{3}=\frac{14}{3}[/tex]
So Let us subtract 24/3 from 15/2
15/2-14/3
LCM of 2 and 3 is 6
45-28/6
17/6
This can be written as mixed fraction [tex]2\frac{5}{6}[/tex]
Hence, equation is [tex]7\frac{1}{2} -4\frac{2}{3}=2\frac{5}{6}[/tex] is true.
To learn more on Equation:
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If (a+1) and (a-1)= 35 what is a?? Helpppppppppp
Answer:
There is no real number that can satisfy this equation
Step-by-step explanation:
a+1=35 and a-1=35 ⇒ a+1=a-1⇒ a-a = -1-1⇒ 0= -2 That's absurd so a has no real solutionThe owner of a car wash wants to see if the arrival rate of cars follows a Poisson distribution. In order to test the assumption of a Poisson distribution, a random sample of 150 ten-minute intervals was taken. You are given the following observed frequencies: Number of Cars Arriving in a 10-Minute Interval Frequency 0 3 1 10 2 15 3 23 4 30 5 24 6 20 7 13 8 8 9 or more 4 150 Calculate mean and use Poisson probabilities. The expected frequency of exactly 3 cars arriving in a 10-minute interval is a. .1533. b. 26.145. c. .1743. d. 23.
Answer: c. 0.1743
Step-by-step explanation: Poisson Probability or Poisson Distribution is a discrete distribution that models the number of events ocurring in a given period of time.
The mean, or expected value, of the observed frequencies is:
E(X) = ∑xP(x)
E(X) = 0*3/150 + 1*(10/150) + 2*(15/150) + 3*(23/150) + 4*(30/150) + 5*(24/150) + 6*(20/150) + 7*(13/150) + 8*(8/150) + 9*(4/150)
E(X) = 4.399
The Poisson distribution is calculated by:
P(X = k) = [tex]\frac{mean^{k}.e^{-mean}}{k!}[/tex]
The question asks for the expected frequency of exactly 3 cars:
P(X = 3) = [tex]\frac{4.399^{3}.e^{-4.399}}{3!}[/tex]
P(X = 3) = [tex]\frac{4.399^{3}.e^{-4.399}}{3.2.1}[/tex]
P(X = 3) = 0.1743
The expected frequency of exactly 3 cars is 0.1743
Juan and his friends played a game in which sticky darts were thrown onto a playing board. To start the game, Juan threw a dart randomly onto the board. Describe the likelihood of getting each score. 8 points: 16 points: more than 0 points:
Answer:
8 points: unlikely
16 points: impossible
more than 0 points: likely
Step-by-step explanation:
Answer:
8 points:
✔ unlikely
16 points:
✔ impossible
more than 0 points:
✔ likely
i did the test hope this helped
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation?
1. A circus elephant is being led up a 12-foot-long ramp to a trailer that is 4 feet above
the ground.
4ft
12 ft
Which equation could be used to find the angle between the ramp and the ground?
f(X)=3x-12 what is f(2)
Answer:
The answer is - 6Step-by-step explanation:
f(X)=3x-12
To find f(2) substitute the value in the bracket which is 2 into f(x)
That's
f(2) = 3(2) - 12
= 6 - 12
= - 6
Hope this helps you
Answer:
-6
Step-by-step explanation:
The length is three times the height. The height is one inch less than the width. The volume is 108 cubic inches. Find the dimensions of the box.
Answer:
3×9×4
Step-by-step explanation:
The volume for a box is b×h×w
With a bit of trial and error, you will quickly find out that the height and width, are small numbers.
When you try 3 for the height you will see that it works.
3×3=9 this is the length
the width is one inch more than the height so for
3×9×4=108
Reyna's health insurance plan requires that she have physician who manages all of her health care. Reyna, most likely, has what type of insurance plan?
Answer:
HMO
Step-by-step explanation:
Health Maintenance Organization is your answer :D
Evaluate
[tex]lim \: f(x) \: as \: x \: approaches \: 0[/tex]
knowing that
[tex] \frac{1}{2} - {x}^{2} \leqslant 1 - f(x) \leqslant \frac{1}{2} [/tex]
for all instances of x
Answer:
f(0) = 1/2
Step-by-step explanation:
At x=0, the inequality tells you ...
1/2 ≤ 1 -f(0) ≤ 1/2
That is, ...
1 - f(0) = 1/2
f(0) = 1/2
[tex]\boxed{\lim\limits_{x\to 0}{f(x)}=\dfrac{1}{2}}[/tex]
A rectangle measures 18 cm by 3 cm what is its area
Answer:
54 cm²
Step-by-step explanation:
Area of a Rectangle Formula: A = lw
We are given 18 as l and 3 as w, so simply plug it into the formula:
A = 18(3)
A = 54
2+4 x 2 = what is the answer
Answer:
10.
Step-by-step explanation:
You can use PEMDAS to go through the expression: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. When there are no parentheses or exponents, you should complete multiplication before addition.
2 + 4 * 2 = 2 + (4 * 2) = 2 + 8 = 10
Hope this helps!
Can you solve this super hard question? (and get it right?)
Answer:
The answer is J
Step-by-step explanation:
The answer is J
Using the diagram below, find how high the plane is flying.
58°
50 yd
30.15 yd
30.25 yd
31.25 yd
32.45 yd
Answer:
31.24 yd
Step-by-step explanation:
Janet wants to estimate the percentage of people who have been required to take a drug test for work. She surveys 250 individuals and finds that 175 have taken a drug test for work. Identify the values needed to calculate a confidence interval at the 98% confidence level. Then find the confidence interval.
Answer:
98% of confidence interval for the true population
(0.6326 , 0.7674)
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 250
She surveys 250 individuals and finds that 175 have taken a drug test for work.
sample proportion
[tex]p = \frac{x}{n} = \frac{175}{250} =0.7[/tex]
level of significance ∝ = 0.05
98% of confidence interval for the true population is determined by
[tex](p^{-} - Z_{0.02} \sqrt{\frac{p(1-p)}{n} } ,p +Z_{0.02} \sqrt{\frac{p(1-p)}{n} } )[/tex]
Z₀.₀₂ = 2.326
Step(ii):-
98% of confidence interval for true population is determined by
[tex](0.7 - 2.326\sqrt{\frac{0.7(1-0.7)}{250} } ,0.7 + 2.326 \sqrt{\frac{0.7(1-0.7)}{250} } )[/tex]
( 0.7 - 0.0674 , 0.7 + 0.0674)
(0.6326 , 0.7674)
Conclusion:-
98% of confidence interval for the true population is determined by
(0.6326 , 0.7674)
Help please!!
What quadrant does the terminal side of this angle lie in?
Answer:
QIII
Step-by-step explanation:
Complete the square to rewrite y = x2 - 6x + 16 in vertex form. Then state
whether the vertex is a maximum or minimum and give its coordinates.
Answer:
y = x² + 6x + 16
= (x² + 6x + 9) - 9 + 16
= (x + 3)² + 7 ← vertex form
Therefore, vertex is (-3, 7) and since the coefficient of (x + 3)² is positive the vertex is a minimum.
Answer:
minimum (3,7)
Step-by-step explanation:
Which of the following best describes T in the general formula for an exponential function, which is shown below?
O A. Time
O B. Initial amount
O c. Growth rate
O D. Growth factor
Answer:
A. Time
Step-by-step explanation:
The general formula for an exponential function is shown below:
[tex]F(t) = Ao.b^{kt}[/tex]
where,
Ao = Initial amount
b = growth factor i.e come (1 + r)
r = growth rate
k = Constant
T = Time
Therefore the T describes the time
Hence, the first option is correct
To determine any of the above variable we simply used the above formula so the chances of thh correct answer could be high
plssssssssssssssssssssss help Six friends, four boys and two girls, went to a movie theater. They wanted to sit in a way so no girl sits on either first or last chair. How many such arrangements are possible?
Answer:
672 ways
Step-by-step explanation:
The total number of ways the friends were supposed to sit without restrictions would have been = 6!
= 720 possible ways.
If the girs should sit on the first or last sit
The possible arrangement= 2!4!
= 2*24
= 48
But now the two girls should be arranged in such a way that the don't sit on either the first or the last chair.
So the possible way now is= way without restriction - way if the girls are to sit at either first or last sit
= 720-48
= 672
Answer:
672.
Step-by-step explanation:
Find the midpoint of the line segment joining the points (-5, 2) and (3. -8).
Hey there! :)
Answer:
(-1, -3)
Step-by-step explanation:
Use the midpoint formula to derive the coordinates of the midpoint:
[tex](x_{m} ,y_{m} ) = (\frac{x_{1} +x_{2} }{2}, \frac{y_{1}+ y_{2} }{2} )[/tex]
Plug in the coordinates given:
[tex](\frac{-5+3 }{2}, \frac{2-8 }{2} )[/tex]
Simplify:
[tex](\frac{-2 }{2}, \frac{-6 }{2} )[/tex]
(-1, -3) are the coordinates of the midpoint.
Answer:
[tex]\boxed{Midpoint = (-1,-3)}[/tex]
Step-by-step explanation:
The coordinates are (-5,2) and (3,-8)
M(x,y) = [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]
M(x,y) = [tex](\frac{-5+3}{2} , \frac{2-8}{2} )[/tex]
M(x,y) = [tex](\frac{-2}{2} , \frac{-6}{2} )[/tex]
M(x,y) = (-1,-3)
The mean monthly car payment for 123 residents of the local apartment complex is $624. What is the best point estimate for the mean monthly car payment for all residents of the local apartment complex?
Answer:
The best point estimate for the mean monthly car payment for all residents of the local apartment complex is $624.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this question:
We apply the inverse Central Limit Theorem.
The mean monthy car payment for 123 residents of the local apartment complex is $624.
So, for all residents of the local apartment complex, the best point estimate for the mean monthly car payment is $624.
In the DBE 122 class, there are 350 possible points. These points come from 5 homework sets that are worth 10 points each and 3 tests that are worth 100 points each. A student has received homework scores of 7, 8, 7, 5, and 8 and the first two test scores are 81 and 80. Assuming that grades are assigned according to the standard scale, where if the grade percentage is 0.9 or higher the student will get an A, and if the grade percentage is between 0.8 and 0.9 the student will get a B, and there are no weights assigned to any of the grades, is it possible for the student to receive an A in the class? What is the minimum score on the third test that will give an A? What about a B?
Answer:
hey mate how r u I am good I am new to this app
10 + 6 ÷ 2 =
2(5) - 7 =
36 - (4 +8) ÷ 4 =
(2 x 5) -4 =
confused on question in screenshot
Answer:
4 sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
3^2 + (sqrt(39)^2 = c^2
9 + 39 = c^2
48 = c^2
Take the square root of each side
sqrt(48) = sqrt(c^2)
sqrt(16*3) = c
sqrt(16) sqrt(3) = c
4 sqrt(3) = c
Find the product.
(3b + 6at)(b - at)
Answer:
3bat + 3b² - 6a²t²
Step-by-step explanation:
First you have to expand it to get;
3b(b - at) + 6at(b - at)
Then you can now multiply.
3b² - 3bat + 6bat - 6at²
Group like terms
6bat - 3bat + 3b² -6at²
3bat + 3b² - 6a²t²
okay the answer is attached. i was the first to answer, but brainly decided to delete it >:(
Please help me.What type of polygon would a peice of an icosahedron at a vertex create? Explain why.
Answer:
Regular Pentagon
Step-by-step explanation:
A regular icosahedron is a twenty-faced polyhedron, each face being an equiangular triangle. Each vertex is joined together by 5 faces, therefore the polygon formed at each vertex is a regular pentagon.
We can also figure out the number of faces at each vertex using Euler's formula
F+V=E+2
F=number of faces = 20
E=number of edges = number of triangular faces * edges/triangle /2
(since each edge is shared between two faces)
= 20*3/2
=30
Number of vertices
= E+2-F = 30+2-20 = 12
So number of edges meeting at each vertex
= 30 / (12/2) = 30/6 = 5
(12/2 because each edge joins two vertices).
See attached figure, courtesy of Wikipedia.