Answer:
yo I'm doing the same thing
Caleb runs laps at the local track. The circular track measures 70 feet across its diameter. How many feet will Caleb run if he stays on the outer edge of the track? (Round to the nearest whole number.)
Answer:
Caleb will run 237 ft
Step-by-step explanation:
Answer:
Caleb will run 220 ft.
Step-by-step explanation:
70 * pi = 220 ft
(7 points) Simplify to create an equivalent expression.{-4(z+3)-4(5-4z)
Answer : 12z - 32
Explaination:
Uhhh yeah math?
my dog is 5 1/2 years old. My cat is 4 1/2 years younger than my dog. how old is my cat
Answer:
1/2 years old
Step-by-step explanation:
5 1/2-4 1/2
If point S is located at (0, 0), point T is located at (0, 6), point U is located at (12, 0), and point V is located at (0, 10), what are the coordinates of point W that makes
Answer:
(20,0)
Step-by-step explanation:
Trust me :)
Answer:
(20,0)
Step-by-step explanation: trust the guy ^
Which ordered pair is a solution of the equation? y=-3x-4
Answer:
Answer:
B.- Only (-3,5)
Step-by-step explanation:
In an ordered pair the first coordinate is the coordinate, and the second coordinate corresponds to the coordinate.
Then we must substitute the given value of in the equation and verify that we get in return the defined value for .
the options are
in this one , and , so let's confirm:
this is not a solution since the values are not the same.
in this one and , let's also confirm:
in this one the values for are equal, this is a solution for the equation.
Step-by-step explanation:
intersecting lines r s and t are shown below. what is the value of x
Answer:
15
Step-by-step explanation:
A normal random variable with mean and standard deviationboth equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?
Answer:
0.57142
Step-by-step explanation:
A normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?
We are told that the Mean and Standard deviation = 10°C
We convert to Fahrenheit
(10°C × 9/5) + 32 = 50°F
Hence, we solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 59 °F
μ is the population mean = 50 °F
σ is the population standard deviation = 50 °F
z = 59 - 50/50
z = 0.18
Probability value from Z-Table:
P(x ≤59) = 0.57142
The probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit
is 0.57142
In a certain assembly plant, three machines, B1, B2, B3, make 30%, 45%, and 25%, respectively, of the products. It is known from past experience that 2%, 3%, and 2% of the products made by each machine, respectively, are defective.
A. Suppose that a finished product is randomly selected. What is the probability that it is defective?
B. If a product were chosen randomly and found to be defective, what is the probability that it was made by machine B3.
Answer:
a. The probability that the finished product selected is defective is 2.45%.
b. The probability that product chosen randomly was defective and made by machine B3 is 20.41%.
Step-by-step explanation:
Let A represents the defective product.
We also have the following from the question:
P(B1) = Probability or percentage of the made by machine B1 = 30%, or 0.30
P(B2) = Probability or percentage of the made by machine B2 = 45%, or 0,45
P(B3) = Probability or percentage of the made by machine B3 = 25%, or 0.25
P(A/B1) = Probability or percentage of product B1 that is defective = 2%, or 0.02
P(A/B2) = Probability or percentage of product B2 that is defective = 3%, or 0.03
P(A/B3) = Probability or percentage of product B3 that is defective = 2%, or 0.02
We can therefore proceed as follows:
A. Suppose that a finished product is randomly selected. What is the probability that it is defective?
To determine this, the rules of elimination is applied and we have:
P(A) = (P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3)) ………… (1)
Where;
P(A) = Probability that the selected product is defective = ?
Substitutes the values defined above into equation (1), we have:
P(A) = (0.30 * 0.02) + (0.45 * 0.03) + (0.25 * 0.02)
P(A) = 0.006 + 0.0135 + 0.005
P(A) = 0.0245, or 2.45%
Therefore, the probability that the finished product selected is defective is 2.45%.
B. If a product were chosen randomly and found to be defective, what is the probability that it was made by machine B3.
To calculate this, the Bayes’ rule is employed as follows:
P(B3/A) = (P(B3) * P(A/B3)) / [(P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3))] = (P(B3) * P(A/B3)) / P(A) ………….... (2)
Where;
P(B3/A) = The probability that product chosen randomly was defective and made by machine B3 = ?
Also, from the values already defined and obtained in part A, we have:
P(B3) = 0.25
P(A/B3) = 0.002
P(A) = 0.0245
Substituting the values into equation (2), we have:
P(B3/A) = (0.25 * 0.02) / 0.0245
P(B3/A) = 0.005 / 0.0245
P(B3/A) = 0.2041, or 20.41%
Therefore, the probability that product chosen randomly was defective and made by machine B3 is 20.41%.
1
Which equation has a constant of proportionality equal to1/2
Choose 1 answer:
Answer:
C
Step-by-step explanation:
3/6 = 1/2 when simplified.
In 2014 the population of 1500 quail decreases at an annual rate of 3%. In writing an exponential function to model the quail population, using f(t)=a(b)^t what is the value of a and b?
Answer:
a = 1500
b = 0.97
Step-by-step explanation:
Let's define 2014 as our t = 0.
Then t = 1 will be 2015, and so on.
We know that in 2014 the population was 1500.
It decreases at an annual rate of 3% or 0.03 in decimal form.
Then in 2015, the population was: 1500 - 1500*0.03 = 1500*(0.97)
In 2016, the population was: 1500*(0.97) - 1500*(0.97)*0.03 = 1500*(0.97)^2
We already can see the pattern.
t years after 2014, the population will be:
f(t) = 1500*(0.97)^t
Now, answering the question:
using f(t)=a(b)^t what is the value of a and b?
a = 1500
b = 0.97
Find the value of x for which I is parallel to m. The diagram is not
to scale.
Answer:
b 56
Step-by-step explanation:
Write Polynomial Function From Graph
Answer:
X=38(8m)#7=274*€7£
Step-by-step explanation:
There you go my answer is pretty much the explanation
not sure what grade this is but if this is collage than that would be the answer
Which transformation from the graph of a function f(x) describes the graph of 10f(x)
Answer:a
Step-by-step explanation:
What is the prime factorization of 5? Enter your answer as a product of prime numbers, like 2 x 3, or as a single prime number, like 17
Answer:
The prime factorization of 5 is 5 x 1
Step-by-step explanation:
5 is a prime number but the only factors that make up 5 are 5 and 1
Hope this helps!
Which is the coefficient in the expression 7 + 14?
can u find all angles
Answer:
I think it's 118°73°49° not really sure
sorry
For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions?
Answer:
23
Step-by-step explanation:
A city planner wants to construct a new road south of Town Hall and north of the Community Center. The city planner currently has the road plotted as a set of parallel lines as shown on the map. However, the current plan for the road would cover a historical marker. ( please help )
Which transformation should the city planner apply to this road so that it preserves the historical marker and still passes south of Town Hall and north of the Community Center?
translate the road up 2 units
translate the road up 4 units
translate the road down 2 units
translate the road down 4 units
Answer:
translate the road down 4 units
Hope this helps
I don’t get this question at all and I really need help on this.!
Answer:
C
Step-by-step explanation:
Vasily is incorrect. She left out the -10g
definitonss for math really easy
Answer:The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. Two lines in the x y xy xy -plane can intersect once, never intersect, or completely overlap.
A system of linear equations is usually a set of two linear equations with two variables. x + y = 5 x+y=5 x+y=5x, plus, y, equals, 5 and 2 x − y = 1 2x-y=1 2x−y=12, x, minus, y, equals, 1 are both linear equations with two variables. When considered together, they form a system of linear equations.
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. For example, in the quadratic polynomial the 3 is a constant term.
Step-by-step explanation:
Select the correct answer from the drop-down menu.
Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have
A One Solution
B No solution
c Infinite Solution
Answer:
one solution
Step-by-step explanation:
Answer:
one solution
Step-by-step explanation:
Andrew sold 45 tickets to the school play and Sara sold 60 tickets. Which of the following is equivalent to the ratio of the number of tickets Andrew sold to the number of tickets Sara sold?
a. 6:8
b. 8:10
c. 6:10
d. 10:12
Answer:
a
Step-by-step explanation:
definitely not d
Answer:
A
Step-by-step explanation:
Evaluate -3- (-4) - (-2) + 1.
Answer:
4
Step-by-step explanation:
-3+4+2+1=4
Find the value of x. Round your answer to the nearest tenth.
Answer:
19/21=0.9
I hope this is good enough:
A local zoo has two large snakes. The anaconda is currently 5.23 meters long and grows
1.27 meters every month. The python is 4.76 meters long and grows 2.04 meters per month.
How many months ( ) m does the zookeeper need to wait for the two snakes to be the
same length?
i really need to know this. my nine weeks ends tomorrow and im behind in math. plzzzzzzzzzzzzz answer this plz, i beg of you
for the anaconda 5.23 + 1.27 m where m is the number of months, and the total length is in meters
The anaconda starts at 5.23 meters and grows 1.27 meters each month for m months
for the python 4.76 + 2.04m where m is the number of months, l is the length of the python in meters
The python starts at 4.76 meters and grows 2.04 meters each month for m months
5.23 + 1.27 m = 4.76 + 2.04m m is the number of months Each side is
you are running a fuel economy study. one of the color you find is blue. it can travel 30 1/2
miles on 1 1/4 gallons of gasoline.
Answer:
69
Step-by-step explanation:
Answer:
24 2/5
Step-by-step explanation:
In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of eight candidates for three local teaching positions consisted of five who had enrolled in paid internships and three who enrolled in traditional student teaching programs. All eight candidates appear to be equally qualified, so three are randomly selected to fill the open positions. Let Y be the number of internship trained candidates who are hired. Find the probability that two or more internship trained candidates are hired.
Answer:
The required probability = 0.7143
Step-by-step explanation:
From the information given:
From a group of eight candidates
The no. of candidates that enrolled in internships = 5
The no. of candidates that enrolled in teaching = 3
Also, supposed all the eight candidates are equally qualified;
Then, Let assume that:
Y to represent the number of internship trainee candidates hired.
N to represent no. of candidates in a group = 8
r to represent those who enrolled in paid internship = 5
Now, N - r = 3 (for those who enrolled in traditional teaching program)
Suppose; n represent the positions for local teaching which is given as 3;
Then; selecting 3 from 8 whereby some enrolled in internships and some in traditional teaching programs;
Then, let assume Y is a random variable that follows a hypergeometric distribution; we have:
[tex]p(Y = y) = \left \{ {{\dfrac{ \bigg (^r_y \bigg)\bigg (^{N-r}_{n-y} \bigg) }{ \bigg ( ^N_n \bigg) } } _\atop { ^{0, otherwise} } } \right.[/tex]
[tex]p(Y = y) = \left \{ {{\dfrac{ \bigg (^5_y \bigg)\bigg (^{3}_{3-y} \bigg) }{ \bigg ( ^8_3 \bigg) } } } } \right, y= 0,1,2,3[/tex]
Thus, the probability that two or more internship trained candidates are hired can be computed as:
p(Y ≥ 2) = p(Y=2) + p(Y =3)
[tex]p(Y \geq 2) = \dfrac{ \bigg ( ^5_2\bigg) \bigg ( ^3_1 \bigg)}{\bigg (^8_3 \bigg)} + \dfrac{\bigg (^5_3 \bigg) \bigg (^3_0 \bigg)}{\bigg ( ^8_3\bigg)}[/tex]
[tex]p(Y \geq 2) = \dfrac{40}{56}[/tex]
[tex]\mathbf{p(Y \geq 2) = 0.7143}[/tex]
An experimenter flips a coin 100 times and gets 58 heads. Find the 90% confidence interval for the probability of flipping a head with this coin.
a. [0.483, 0.677]
b. [0.383, 0.627]
c. [0.533, 0.538]
d. [0.483, 0.477]
e. [0.403, 0.677]
f. None of the above
Answer:
The correct option is f.
Step-by-step explanation:
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
It is provided that an experimenter flips a coin 100 times and gets 58 heads.
That is the sample proportion of heads is, [tex]\hat p=0.58[/tex].
The critical value of z for 90% confidence level is, z = 1.645.
*Use a z-table.
Compute the 90% confidence interval for the probability of flipping a head with this coin as follows:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]=0.58\pm 1.645\cdot\sqrt{\frac{0.58\times(1-0.58)}{100}}\\\\=0.58\pm 0.0812\\\\=(0.4988, 0.6612)\\\\\approx (0.499, 0.661)[/tex]
Thus, the 90% confidence interval for the probability of flipping a head with this coin is (0.499, 0.661).
The correct option is f.
The perimeter of a triangle is 69Cm. Side a is 5cm shorter then side b. side c is 5 more than twice side b. Find the length of each side
Step-by-step explanation:
Given parameters:
Perimeter of triangle = 69cm;
Unknown:
Length of each side = ?
Solution:
Side a is 5cm shorter than side b;
b = a + 5 ----- i
Side c is 5 more than twice side b;
c = 2b + 5
The three sides of triangle are a, b and c;
Perimeter is the sum of sides of a body;
a + b + c = 69
From i;
a = b - 5
b
c = 2b + 5
so;
b - 5 + b + 2b + 5 = 69
4b = 69
b = 17.25cm
a = b -5 = 17.25 - 5 = 12.25cm
c = 2(17.25) + 5 = 39.5cm
Choose the measure that is approximately equivalent to 9 kilometers.
A.4.5 mi
B.5.6 mi
C.7.39 mi
D.14.5 mi
9 miles is approximately equivalent to 5.6 miles.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know 1 mile is approximately equivalent to 1.6 kilometers or 1.6 kilometers is equivalent to 1 mile.
∴ 9 kilometers is equivalent to (9/1.6) miles.
= 5.6 miles.
learn more about the unitary method here :
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