9514 1404 393
Answer:
1/6
Step-by-step explanation:
The slope is the ratio of rise to run.
slope = rise/run = (6 ft)/(36 ft) = 6/36 = 1/6
The slope of the hill is 1/6.
Find the area of the rhombus
Answer:
[tex] Area \: of \: rhombus =96\: cm^2 [/tex]
Step-by-step explanation:
[tex] d_1= 2\times 8 = 16\: cm[/tex]
[tex] d_2= 2\times 6 = 12\: cm[/tex]
[tex] Area \: of \: rhombus =\frac{1}{2} d_1d_2[/tex]
[tex] Area \: of \: rhombus =\frac{1}{2}\times 16 \times 12[/tex]
[tex] Area \: of \: rhombus =8 \times 12[/tex]
[tex] Area \: of \: rhombus =96\: cm^2 [/tex]
Amphibian populations are in decline worldwide due to the increasing prevalence of ranavirus infections. Herpetologists (those that study amphibians and reptiles) are especially concerned with how ranavirus infections may be affecting Ozark and eastern hellbender populations.
Suppose both populations of hellbenders are known to have ranavirus infections at a rate of 25%. Suppose a random sample of size 118 is taken of the eastern hellbender population and a random sample of size 177 is taken of the Ozark hellbender population. Every hellbender in each sample is tested for ranavirus, and the sample proportions for each of the two samples are calculated.
Required:
Which of the two sample proportions is more likely to exceed 22% ?
Answer:
The sample proportion of size 177 is more likely to exceed 22%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
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].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Suppose both populations of hellbenders are known to have ranavirus infections at a rate of 25%.
This means that [tex]\mu = p = 0.25[/tex]
Sample of size 118:
[tex]n = 118, so [tex]s = \sqrt{\frac{0.25*0.75}{118}} = 0.0399[/tex]
Probability of sample proportion above 22%.
This is 1 subtracted by the pvalue of Z when X = 0.22. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.22 - 0.25}{0.0399}[/tex]
[tex]Z = -0.75[/tex]
[tex]Z = -0.75[/tex] has a pvalue of 0.2266
1 - 0.2266 = 0.7734
0.7734% probability that a random sample of size 118 exceeds 22%.
Sample of size 177:
[tex]n = 177, so [tex]s = \sqrt{\frac{0.25*0.75}{118}} = 0.0325[/tex]
Probability of sample proportion above 22%.
This is 1 subtracted by the pvalue of Z when X = 0.22. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.22 - 0.25}{0.0325}[/tex]
[tex]Z = -0.92[/tex]
[tex]Z = -0.92[/tex] has a pvalue of 0.1788
1 - 0.1788 = 0.8212
0.8212 = 82.12% probability that a random sample of size 177 exceeds 22%.
82.12% > 77.34%, so the sample proportion of size 177 is more likely to exceed 22%.
The sample proportion that is more likely to exceed 22% is; the sample proportion with a sample size of 177
Central Limit Theorem
We are given;
Population proportion; p = 25% = 0.25
Now, in central limit theorem, the formula for standard deviation is;
σ = √(p(1 - p)/n)
For a sample size of 118, we have;
σ = √(0.25(1 - 0.25)/118)
σ = √0.001588983
σ = 0.03986
Similarly, for a sample size of 177, we have;
σ = √(0.25(1 - 0.25)/177)
σ = √0.001059322
σ = 0.032547
Since we want to find which of the two sample proportions will likely exceed 22% which is p₀ = 0.2, we will use the formula;
z = (p₀ - p)/σ
For sample size of 118, we have;
z = (0.22 - 0.25)/0.03986
z = -0.75
From online p-value from z-score calculator, we have;
p-value = 0.7734 or 77.34%
For sample size of 177, we have;
z = (0.22 - 0.25)/0.032547
z = -0.92
From online p-value from z-score calculator, we have;
p-value = 0.8212 or 82.12%
The p-value of the sample of 177 is higher than the p-value for the sample of 118 and so we can say that the sample proportion with a sample size of 177 is more likely to exceed 22%
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What is not equal to 120 centimeters
Answer:
120mm
Step-by-step explanation:
Thank u....
............
19x/x+9 =x+9/x find x
Answer:
X=.5
Step-by-step explanation:
First, I rewrite the equation:
[tex]\frac{19x}{x+9}[/tex]= [tex]\frac{x+9}{x}[/tex]
Next, Cross Multiply:
19x times x is 19x^2
x+9 times x+9 equals (x+9)^2
Write the Formula Again, Revised:
19x^2=(x+9)^2
Square Root Both Sides:
19x=x+9
Subtract x from both sides:
18x=9
Divide Both Sides by 18:
X=.5
.5 is the answer
i hope this helps!
Please Give ,e feedback (or brainliest) to let me know if im right!
Because of the commutative property of multiplication, it is true that
3/4
×
4
=
4
×
3/4
. However, these expressions can be calculated in different ways even though the solutions will be the same.
Below, show two different ways of solving this problem.
First, show how
3/4*4
can be solved using repeated addition.
X=y-3
2x-2y=-6
No solution, one solution, or infinite solution?
Answer:
No solution
Step-by-step explanation:
2y - 3 - 2y = -6
2y - 2y - 3 = -6
-3 = -6
No solution
The formula is T = L/S, where T is the time in seconds, L is the length of the tape in inches, and S is the operating speed in inches per second. How long a tape does a police officer need to record a 2-minute confession at an operating speed of 3 1/2 inches per second?
Answer:
im not sure im sorry
Step-by-step explanation:
not sure
Question 1 of 10
Which of the following is equal to the fraction below?
N
(17)"
A. 711
N
B.
44
C. 11.
11.6)
1
D. 711
Answer:
i feel like the answer is d srry if im wrong
Step-by-step explanation:
15. Ken is planting vegetables in his garden, He has
20 seeds Determine whether 20 is a prime or
composite number if it is composite, list all of the
ways ken can arrange the seeds in even rows,
Answer:
20 is a composite number.
Ways that can be arranged:
5 x 4
10 x 2
20 x 1
Answer:
Once upon a time, there was a flock of doves that flew in search of food led by their king. One day, they had flown a long distance and were very tired. The dove king encouraged them to fly a little further. The smallest dove picked up speed and found some rice scattered beneath a banyan tree. So all the doves landed and began to eat.
Suddenly a net fell over them and they were all trapped. They saw a hunter approaching carrying a huge club. The doves desperately fluttered their wings trying to get out, but to no avail. The king had an idea. He advised all the doves to fly up together carrying the net with them. He said that there was strength in unity.
Each dove picked up a portion of the net and together they flew off carrying the net with them. The hunter looked up in astonishment. He tried to follow them, but they were flying high over hills and valleys. They flew to a hill near a city of temples where there lived a mouse who could help them. He was a faithful friend of the dove king.
What is the probability of picking a rod marble at
random?
What is the probability of picking'a red marble at
random, and without replacing it, then picking a blue
one?
Answer:
1) 7/12
2) 35/132
Step-by-step explanation:
1) 7/12
2) 7/12x5/11=35/132
The Los Angeles Times regularly reports the air quality index for various areas of Southern
California. A sample of air quality index values for Pomona provided the following
data: 28, 42, 58, 48, 45, 55, 60, 49, and 50.
a. Compute the range and interquartile range.
b. Compute the sample variance and sample standard deviation.
c. A sample of air quality index readings for Anaheim provided a sample mean of 48.5,a sample variance of 136, and a sample standard deviation of 11.66. What comparisons can you make between the air quality in Pomona and that in Anaheim on the basis of these descriptive statistics?
Answer:
Range = 32 ; IQR = 13 ; Variance = 92.75 ; Standard deviation = 9.63
Step-by-step explanation:
Given the data:
28, 42, 58, 48, 45, 55, 60, 49, 50
Reorderd data: 28, 42, 45, 48, 49, 50, 55, 58, 60
The range: maximum - minimum
Range = 60 - 28 = 32
Interquartile range (IQR) : Q3 - Q1
Q3 = 3/4(n+1) th term. ; n = sample size
Q1 = 1/4(n+1)th term.
Using calculator :
Q3 = 56.5 ; Q1 = 43.5
IQR = 56.5 - 43.5 = 13
The variance :
Σ(X - m)^2 / n-1
m = Σx / n
Mean, m = 435 / 9 = 48.33
Variance :
[(28-48.33)^2 + (42-48.33)^2 + (45-48.33)^2 + (48-48.33)^2 + (49-48.33)^2 + (50-48.33)^2 + (55-48.33)^2 + (58-48.33)^2 + (60-48.33)^2] / 8
= 742.0001 / 8
= 92.75
Standard deviation = sqrt(Variance):
Sqrt(92.75) = 9.63
C.)
Sample mean are very close with a slightly greater Variability in the air quality of Anaheim over Pomona
1. Jerry has 56.92 centimeters (cm) of wire. He uses 2 pieces of the wire. Each piece he uses is 7.37 cm long. What is the length of the remaining wire, rounded to the nearest tenth of a centimeter?
2.
What is the area of a rectangle that is 4 inches by 2 inches?
Answer:
8
Step-by-step explanation:
On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she has assigned the following probability distribution to the number of tubes she will rent on a randomly selected day.
x 25 50 75 100 Total
P(x) .27 .33 .29 .11 1.00
factor the expression by grouping: ax+ay+az+3x+3y+3z
please answer fast
Answer:
(x+y+z)(a+3)
Step-by-step explanation:
ax+ay+az+3x+3y+3z
=(ax+ay+az)+(3x+3y+3z)
=a(x+y+z)+3(x+y+z)
=(x+y+z)(a+3)
please help test due tomorrow. I'll give the correct answer brainliest
solve for x. show your work.
Please help!!!!! 20pts
Answer:
vertically Angle is correct answer
What is the value of the angle x?
1. What is your gross bi-weekly income if you are paid an annual salary of $85,700?
Answer:
Your gross bi-weekly incomeis of $824.
Step-by-step explanation:
An year has 52 weeks.
In this problem:
Bi-weekly payments, that is, 52*2 = 104 payments during the year, combining $85,700.
Your bi-weekly income will be of:
$85700/104 = $824
Your gross bi-weekly incomeis of $824.
Graph the solution set of the inequality 1/4 x >= - 2
Answer:
-8 is one point and the arrow goes to 10
Step-by-step explanation:
The solution of the inequality is x≥ -8.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
1/4 x ≥ - 2
Now, the solving the inequality for x we get
x ≥ -2 (4)
x≥ -8
So, the value of x should be the region where values of x should be equal to -8 and greater than -8.
That means x ≠ -7, -6, -5, ....0,1, 2, 3....
The inequality graph is attached below.
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A salesman earns 6% commission on all the merchandise that he sells. Last month he sold $9000 worth of merchandise. How much
commission (in dollars) did he earn last month?
The commission (in dollars) did he earn last month is 540$.
We have given
A salesman earns 6% commission on all the merchandise that he sells.
Last month he sold $9000 worth of merchandise.
Salesman earns 6% =6/100=0 .06
What is the meaning of commission?
Earning a commission means that a portion of your salary is based on the amount of sales revenue you generate or another similar performance-based goal.
So we have to determine 6% of 9000
We can be written as
=0.06 x 9000,
= 540$
The commission (in dollars) did he earn last month is 540$.
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Find the slope of the line contains (-2, -2) and (-10, -9)
Answer:
The slope is m = 7/8 or 0.975
Step-by-step explanation:
Answer:
7/8
Step-by-step explanation:
Factor by grouping. 3x³ – 2x²–9x+6
Answer:
(3x-2)(x²-3)
Step-by-step explanation:
3x³-2x²-9x+6
=(3x³-2x²)+(-9x+6)
=x²(3x-2)-3(3x-2)
first answer must include the GCF and the second answer consists of the remaining numbers.
what is the answer i need help
Answer:
90/100
Step-by-step explanation:
both equal 0.9
Answer:
[tex]\frac{90}{100\\}[/tex]
Step-by-step explanation:
[tex]\frac{9}{10}[/tex] equals [tex]\frac{90}{100\\}[/tex]
By multiplying the numerator and denominator of [tex]\frac{9}{10}[/tex] by 10, we get [tex]\frac{90}{100\\}[/tex] .
9 x 10 = 90
10 x 10 = 100
Can someone help me with this math question?...
Answer:
B.
Step-by-step explanation:
It is the right answer, I promise.
Answer:
It is B. Length = 22 Feet, Width = 20 Feet
Step-by-step explanation:
I got it right once
A(-2,-2) B(-1,2) C(2,1) / A (-4,-4) (-2,4) C(4,2)
Answer:
umm lettders dont go in math pst this in englash
Step-by-step explanation
yeet
Casper write the algebraic expression 5b + 3.79. I represents the total cost, in dollars, of buying 5 bagels and a container of cream cheese. Identify any variables, coefficients, and termsin the expression. Tell me what each represents
Answer:
5 is a co efficient and b is a variable together is a term, 3.79 is a constant/term the whole equation is an expression.
The total cost of buying 5 bagels and a container of cream cheese is $28.79 and in the expression 5 is constant, b is variable, and 3.79 is constant representing the cost of the container.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
For example 3x +5y
Given the expression for the total cost,
C = 5b + 3.79 where b is the number of bagels.
Cost of 5 bangles →
C = 5(5) + 3.79 =$ 28.79
Cost of container = $3.79
Thus b is the only variable and 5b represents the cost of bagels while by the sum of container cost 3.79 total costs are created.
Hence "The total cost is $28.39 and container cost is $3.79 while b is variable".
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5. If the covariance between the variables x and y is 18 and the variance
of x and y are 16 and 81 respectively. Find the coefficient of
correlation.
Answer:
The coefficient of correlation=0.5
Step-by-step explanation:
We are given that
Covariance between the variable x and y=18
Variance of x=16
Variance of y=81
We have to find the coefficient of correlation
We know that
Coefficient of correlation
[tex]r=\frac{covariance(x,y)}{\sqrt{variance(x)}\times \sqrt{variance(y)}}[/tex]
Using the formula
[tex]r=\frac{18}{\sqrt{16}\times \sqrt{81}}[/tex]
[tex]r=\frac{18}{4\times 9}[/tex]
[tex]r=0.5[/tex]
Hence, the coefficient of correlation=0.5
I need help please
I'm not sure of what your trying to find... but the slope is (10/3). The equation in slope form is y=(10/3)x-10. The Standard form is 10x-3y=30.
Does this help?
Answer: The equation of that line is [tex]Y = 3 \frac{1}{3}x -10[/tex]
Step-by-step explanation:
Evaluate the function when X=3 , X=0 , and x=-2.
Answer:
12)f(x)=2x-6
=》f(3)=2(3)-6
=》6-6=0
f(×)=2x-6
f(0)=-6
=》f(-2)=2(-2)-6
=》-4-6
=-10
13)h(3)=6(3)+2
=》18+2
=20
h(0)=0+2
=2
h(-2)=6(-2)+2
=》-12+2
=-10