Answer:
44.44% chance he will not take the longest trail.
Step-by-step explanation:
The probability of the odds against Arjun taking the longest trail is 0.4444 or 44.44% if the probability of the Arjun will take the longest trail is 5/9
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happeing of the event.
Arjun is hiking from a mountain lodge to a nearby summit.
The probability that he will take the longest trail = 5/9
Let's suppose the probability of the odds against Arjun taking the longest trail = x
The sum of the two probabilities of the same event is 1, this is the addition rule of the probability.
By the rule of addtiion of the probability:
x + 5/9 = 1
x = 1 - 5/9 (subtract by 5/9 on both sides)
x = 4/9
x = 0.4444
x =44.44 %
Thus, the probability of the odds against Arjun taking the longest trail is 0.4444 or 44.44% if the probability that Arjun will take the longest trail is 5/9
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POLYNOMIAL 2) How many total zeros would the function f(x)=2x^5−3x^3+x have?
a 1
b 2
c 4
d 5
Answer: 5
Step-by-step explanation: I used m.athway
if angle x=55% and angle y=35, calculate the following 1.cos(x+y)
Answer:
cos(X+Y) = cos(55+35) = cos(90) = 0
Step-by-step explanation:
cos(X+Y) = cosXcosY - sinXsinY
cos(55+35) = cos(55)cos(35) - sin(55)sin(35)
cos(55+35) = cos(55)cos(35) - cos(90-55)cos(90-35)
cos(55+35) = cos(55)cos(35) - cos(35)cos(55)
cos(55+35) = 0
cos(90) = 0
Find the surface area of the square pyramid. Enter your answer in the box.
A square pyramid. The side length of the base is 11 centimeters. The height of each of the 4 triangular faces is 10 centimeters.
8560.75
Answer:
apply heros formula √15.5(15.5-10)(15.5-10)(15.5-11
An article reports the following data on yield (y), mean temperature over the period between date of coming into hops and date of picking (x1), and mean percentage of sunshine during the same period (x2) for the Fuggle variety of hop:
x1: 16.7 17.4 18.4 16.8 18.9 17.1 17.3 18.2 21.3 21.2 20.7 18.5
x2: 30 42 47 47 43 41 48 44 43 50 56 60
y: 210 110 103 103 91 76 73 70 68 53 45 31
Use the following R Code to complete the regression analysis:
x1 = c(16.7, 17.4, 18.4, 16.8, 18.9, 17.1, 17.3, 18.2, 21.3, 21.2, 20 7, 18.5)
x2 = c(30, 42, 47, 47, 43, 41, 48, 44, 43, 50, 56, 60)
y = c(210, 110, 103, 103, 91, 76, 73, 70, 68, 53, 45, 31)
Required:
According to the output, what is the least squares regression equation ŷ = bo + b1x1 + b2x2:
Answer:
[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]
Step-by-step explanation:
Given
[tex]x_1: 16.7\ 17.4\ 18.4\ 16.8\ 18.9\ 17.1\ 17.3\ 18.2\ 21.3\ 21.2\ 20.7\ 18.5[/tex]
[tex]x_2: 30\ 42\ 47\ 47\ 43\ 41\ 48\ 44\ 43\ 50\ 56\ 60[/tex]
[tex]y: 210\ 110\ 103\ 103\ 91\ 76\ 73\ 70\ 68\ 53\ 45\ 31[/tex]
Required
Use R code to determine the regression equation
[tex]y = b_o + b_1x_1 + b_2x_2[/tex]
First, write the following code in a R program
[tex]x1 <- c(16.7,17.4,18.4,16.8,18.9,17.1,17.3,18.2,21.3,21.2,20.7,18.5)[/tex]
[tex]x2 <- c(30,42,47,47,43,41,48,44,43,50,56,60)[/tex]
[tex]y <- c(210,110,103,103,91,76,73,70,68,53,45,31)[/tex]
[tex]mod <- lm(y[/tex]~[tex]x1+x2)\\[/tex]
[tex]summary(mod)[/tex]
Next, run the program
See attachment for program and output
From the output, go to coefficients:
Check Estimate Std. column, you have the following:
[tex](Intercept) = 415.113[/tex]
[tex]x_1 = -6.593[/tex]
[tex]x_2 = -4.504[/tex]
[tex]y = b_o + b_1x_1 + b_2x_2[/tex] implies that:
[tex]b_o \to[/tex] Intercept
[tex]b_1 \to x_1[/tex]
[tex]b_2 \to x_2[/tex]
Hence, the least square regression equation is:
[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]
A sandwich shop prices its party subs at $17.50 per foot, with a $23 flat fee for assembly. Write a function rule describing how the price of a party sub (p) depends on the sub's length in feet.
What is the price of a party sub that is 8 feet long?
Answer:
Step-by-step explanation:
sheesh
Answer:
f(x)=17.50p+25 The price for and 8 ft sub is $165
Step-by-step explanation
which expression has a value equal to 28 divided by 4
Answer:
28/4
7
56/8
14/2
63/9
70/7
√49
∛343
If arc FBE is 300°, what is the measure of angle 4?
Answer:
30 degrees
Step-by-step explanation:
What expreassion is equivalent to 5(d+1)
Answer:
2(5)
Step-by-step explanation:
Answer:
I think it’s 5b+5
Step-by-step explanation:
All ways multiple the outside number with whatever is in the parentheses.
the first box is divide/ multiply the second is height/base and the third is divide/multiply the fourth is the base/ 2 / the area
PLS HELP ASAP
For the relation S: {(2, 3), (-1, 4), (1, 6)}. Find the domain and range.
Answer:
Domain: -1, 1, 2
Range: 3, 4, 6
Step-by-step explanation:
The domain is all of the x-values and the range is all of the y-values.
Hope this helps :)
2
Which function has the
same slope as the
linear function graphed
below?
A. y = 4x + 3
B. y = 7x + 3
C. y = 2 - 4x
D. y = 2 - 4x
16 115
4
13
2 110
+1 +2 +3 +4 +5 +6
2. 3
5
6
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the required graph is not attached. The general explanation is as follows:
To calculate the slope of a line, we select two points on the line.
Assume, the points are:
[tex](x_1,y_1) = (-1,0)[/tex]
[tex](x_2,y_2) = (0,-4)[/tex]
The slope will be:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-4-0}{0--1}[/tex]
[tex]m = \frac{-4}{1}[/tex]
[tex]m = -4[/tex]
For each of the options, the slope is calculated from the following representation
[tex]y = mx + b[/tex]
Where
[tex]m \to[/tex] slope i.e. the coefficient of c
By comparison, we have:
[tex]A.\ m =4[/tex]
[tex]B.\ m = 7[/tex]
[tex]C.\ m = -4[/tex]
[tex]D.\ m = -4[/tex]
So: (C) and (D) have the same coefficients as the assumed function
Which ordered pair is the solution to the system of equations below when
using the matrix tool?
9x - 3y = 54
9x +1 ly = 12
Answer:
(7, -3)
Step-by-step explanation:
9x - 3y = 54
9x +1 ly = 12
Subtract both expresion
-3y - 11y = 54 - 12
-14y = 42
y = 42/-14
y = -3
Substitute y = -3 into 1;
From 1, 9x - 3y = 54
9x - 3(-3) = 54
9x - 9 = 54
9x = 54 + 9
9x = 63
x = 63/9
x = 7
Hence the solution to the system of equation is (7, -3)
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
13 ft
14 ft
15 ft
A silo contains 60,000 pounds of grain how many tons are in 60,000 pounds?
Answer:
30 tons
Step-by-step explanation:
30 is correct
ᶦ ᵗᵒᵒᵏ ᵗʰᵉ ᵗᵉˢᵗ
Identify the hypothesis of the statement.
If a and b are positive, then a−b is positive.
If a−b is positive, then a and b are positive.
a−b is positive.
a and b are positive.
If a and b are positive, then a−b is positive.
9514 1404 393
Answer:
a and b are positive.
Step-by-step explanation:
The form is ...
IF <hypothesis>, THEN <conclusion>
The hypothesis is the wording between IF and THEN. In your given statement it is ...
a and b are positive
A line is parallel to y=3x-2 and intersects the point (3,5)
Answer:
The answer is 5 I'm still trying to figure out this answer out right now
Step-by-step explanation:
btw i have acellus too
10 + 6x + 4x = 16 – (-4)
Answer:
X=1
Step-by-step explanation:
comine all like terms
10x + 10 = 16 - (-4)
10x + 10 = 20
10x=10
x=1
Please help will mark as brainliest if correct
Answer:
B) 29.6°
Step-by-step explanation:
it's a right triangle so you can use SOA CAH TOA
in this case we would use cosine because we know the adjacent and the hypotenuse
arccosФ = 20/23 = 29.59
The range of the function defined as y = 5x is
The required range of the function y = 5ˣ is y > 0. Option b is correct.
Given that,
To determine the range of the function y = 5ˣ.
The function which is in format f(x) =a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
What is the range?Range, it is the set of the values that come out to an outcome for certain mathematical operations.
Here,
unction y = 5ˣ,
Since the independent variable is at the exponent so the range of the function is always greater than 1.
Thus, the required range of the function y = 5ˣ is y > 0. Option b is correct.
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Use the Distributive Property to solve the equation. −8x+32=24
Answer:
1
Step-by-step explanation:
-8x+32=24
-8x=24-32
-8x=-8
x=-8/-8
x=1
if the variance of the data values in a sample is 361, what is the standard deviation of the data values
If the variance of the data values in a sample is 361, Then the standard deviation will be 19.
What is the standard deviation?
Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
Here the relationship between the standard deviation and the variance is given as:-
[tex]\sigma[/tex]² = Variance
[tex]\sigma[/tex] = √ Variance
[tex]\sigma[/tex] = √361 = 19
Hence the variance of the data values in a sample is 361, Then the standard deviation will be 19.
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In problem formulation, the a. constraints are expressed in terms of the obtained objective function coefficients. b. objective is expressed in terms of the decision variables. c. nonnegativity constraints are always ignored. d. optimal solution is decided upon.
Answer: B. objective is expressed in terms of the decision variables
Step-by-step explanation:
Linear programming refers to an optimization technique that is used for a linear constraints system and the objective function.
The objective function simply means the quantity that an individual wants to optimize. It should be noted that the aim of linear programming is to get the values of the variables which will minimize or maximize the objective function. In problem formulation, objective is expressed in terms of the decision variables.
Therefore, the correct option is B
properties of properties
1. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? State the null and alternative hypotheses.
2. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Find the value of the test statistic.
3. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Specify if the test is one-tailed or two-tailed.
4. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71 % of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Determine the P-value of the test statistic.
5. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Identify the value of the level of significance.
6. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 59% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 54%. Make the decision to reject or fail to reject the null hypothesis at the 0.01 level.
7. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? State the conclusion of the hypothesis test.
Answer:
See step by step explanation
Step-by-step explanation:
Sample size n = 800
p₁ = 71 % p₁ = 0,71 and q₁ = 0,29
Claim from political strategy wants evaluation to see if that sample implies that residents who favor the construction are more than 68 %
Then
p₀ = 68% p₀ = 0,68
Sample size 800 big enough to use the approximation of binomial distribution to normal distribution
1) Hypothesis Test
Null Hypothesis H₀ p₁ = p₀
Alternative Hypothesis Hₐ p₁ > p₀
2)Test Statistics z (s)
z(s) = ( p₁ - p₀ ) / √p₁*q₁/n
z(s) = 0,03 / √0,71*0,29/800
z(s) = 0,03 / 0,016
z(s) = 1,875
3) In the problem statement the expression " more than " has to be formulated in the alternative hypothesis and indicates that the test is one tail test to the right
4) z(s) = 1.875 from z-Table we get p-value = 0,030
Now significance level is α = 0,02
Therefore p-value > 0.02
Then that value corresponds to the acceptance region for H₀.
We don´t have enough evidence to support the strategist´s claim
5) The level of significance is α = 0,02
6) If now we change α to be equal to 0,01 α = 0,01
p-value > 0,01 and still we have to accept H₀
7) We accept H₀ we are not able to support strategist´s claim
113
13- Angeles is 5yrs younger
Than her husband Joseph.
The sum of their ages is 63years. How old would Angeles be in 5years time.
If U is the set of all natural numbers less than 10, A is its subset containing all natural numbers less than 6 and B⊂U consists of all natural numbers greater than 4 (and of course smaller than 10), draw Venn diagram showing these sets. List elements of sets A, B, their union, and their intersection.
Please help! Math work!
Answer:
The first one is exponential, the second one is linear, and the last one is quadratic.
Step-by-step explanation:
The first one is exponential, because the values are increasing at an increasing rate. In other words, the difference between any consecutive x-values yield a bigger difference.
The second one is linear, because the values are increasing at a constant rate.
The last one is quadratic, because the values decrease, and then increase, which can be represented by a parabola for a quadratic equation.
2 part of the question with answer choices C AND D!!!!
NEED HELP ASAP!!!!
**Will mark BRAINLIEST on both questions**
pls help!!
This is the same question I am just going to write it again.
Which graph best represents the solution to the following pair of equations?
y = 4x + 2
y = x + 5
**THESE pictures ARE ANSWER CHOICES C & D**
Answer:
Plug it into geogebra. The answer should be c.
Step-by-step explanation:
Answer:
the solution/ where they intersect is (1,6) so it is neither
Step-by-step explanation:
Find the difference: -9 - (-6) =
Answer:
Hello! Mizuki here to help!
-3 would be the correct answer!!!
Step-by-step explanation:
-9 - (-6) =
-9 + 6 =
-3
Classify the polynomial by the number of terms.
mx+b
•Trinomial
•Monomial
•Polynomial
•Binomial
Classification:
Monomial: One term
Mono = One
Polynomial: Multiple terms e.g. (2,3,4 and so on)
Poly: Many
Binomial: Two terms
Bi = Two
Trinomial: Three terms
Tri = Three
The expression of "mx + b" would be classified as a monomial due to it having only one exponent.