Answer:
(0,-2)
Step-by-step explanation:
Find the equation of a line that passes through the points (2,7) and (4,6). Leave your answer in the form y = m x + c
Answer:
I think the answer would be
y = 0.5x -8
tough this might be wrong?
Step-by-step explanation:
(2, 7) ( 4,6)
to find the gradient- mx
y2-y1/ x2 - x1
chose which would be 1/ 2
if I chose (2,7) as 1 then (4, 6) as 2
mx = 6- 7/ 4-2
= -0.5x
y = -0.5x + c
substitute
6 = -0.5(4) + c
6= -2+ c
c = -8
The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginning of the growing season to protect against various insects and diseases. Two new insecticides have just been marketed: Pernod 5 and Action. To test their effectiveness, three long rows were selected and sprayed with Pernod 5, and three others were sprayed with Action. When the grapes ripened, 390 of the vines treated with Pernod 5 were checked for infestation. Likewise, a sample of 420 vines sprayed with Action were checked. The results are:
Insecticide Number of Vines Checked (sample size) Number of Infested Vines
Pernod 5 390 23
Action 420 46
At the 0.05 significance level, can we conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action?
Answer:
The p-value of the test is 0.0088 < 0.05, which means that at the 0.05 significance level, we can conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action.
Step-by-step explanation:
Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes 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]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Pernod 5:
23 out of 390, so:
[tex]p_P = \frac{23}{390} = 0.059[/tex]
[tex]s_P = \sqrt{\frac{0.059*0.941}{390}} = 0.0119[/tex]
Action:
46 out of 420, so:
[tex]p_A = \frac{46}{420} = 0.1095[/tex]
[tex]s_A = \sqrt{\frac{0.1095*0.8905}{420}} = 0.0152[/tex]
Test if there is a difference in proportions:
At the null hypothesis, we test if there is not a difference, that is, the subtraction of the proportions is 0. So
[tex]H_0: p_A - p_P = 0[/tex]
At the alternative hypothesis, we test if there is a difference, that is, the subtraction of the proportions is different of 0. So
[tex]H_1: p_A - p_P \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the samples:
[tex]X = p_A - p_P = 0.1095 - 0.059 = 0.0505[/tex]
[tex]s = \sqrt{s_A^2+s_P^2} = \sqrt{0.0119^2+0.0152^2} = 0.0193[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{0.0505 - 0}{0.0193}[/tex]
[tex]z = 2.62[/tex]
P-value of the test and decision:
The p-value of the test is the probability of a difference in proportions of at least 0.0505 to either side, which is P(|z| > 2.62), that is, 2 multiplied by the p-value of z = -2.62.
Looking at the z-table, z = -2.62 has a p-value of 0.0044.
2*0.0044 = 0.0088
The p-value of the test is 0.0088 < 0.05, which means that at the 0.05 significance level, we can conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action.
How to do questions 19 and 20
Answer & Step-by-step explanation:
Using the information given in the question we can form the following 3 equations (in the order of the first 3 sentences)
w = 2h (twice the price)
t = h - 4 ($4 less)
3w + 2h + 5t = 136 (total purchasing and cost)
We can solve all 3 equations for h first, by substituting the first two equations, into the third equations w and t
3(2h) + 2h + 5(h-4) = 136
Simplify
6h + 2h + 5h - 20 = 136
13h = 136 + 20
13h = 156
h = 156/13
h = $12
Using this information, we can solve for w and t
w = 2h
w = 2(12)
w = $24
And finally
t = h - 4
t = 12 - 4
t = $8
Can anyone explain please?
Answer:
x = 55
Step-by-step explanation:
In a rhombus, each diagonal bisects a pair of opposite angles.
For this parallelogram t be a rhombus, the angles with measures 2x - 40 and x + 15 must be congruent.
2x - 40 = x + 15
Subtract x from both sides.
x - 40 = 15
Add 40 to both sides.
x = 55
Answer:
Hello,
x=55
Step-by-step explanation:
The rhombus is formed of 2 isocele triangles
(since sides are equals)
The drawn diagonal bissects the angle
x+15=2x-40
2x-x=15+40
x=55
A group of dental researchers are testing the effects of acidic drinks on dental crowns. They have five containers of crowns labeled V, W, X, Y, and Z. They will randomly select one of the containers to be the control for the experiment by drawing one of five well-mixed slips of paper with the same labels from a hat. Which of the following is the probability model for the control container?
Answer:
[tex]\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}[/tex]
Step-by-step explanation:
Given
[tex]S = \{V,W,X,Y,Z\}[/tex]
[tex]n(S) = 5[/tex]
Required
The probability model
To do this, we simply calculate the probability of each container.
So, we have:
[tex]P(V) = \frac{n(V)}{n(S)} = \frac{1}{5} = 0.20[/tex]
[tex]P(W) = \frac{n(W)}{n(S)} = \frac{1}{5} = 0.20[/tex]
[tex]P(X) = \frac{n(X)}{n(S)} = \frac{1}{5} = 0.20[/tex]
[tex]P(Y) = \frac{n(Y)}{n(S)} = \frac{1}{5} = 0.20[/tex]
[tex]P(Z) = \frac{n(Z)}{n(S)} = \frac{1}{5} = 0.20[/tex]
So, the probability model is:
[tex]\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}[/tex]
Answer:
answer is V=.20, W=.20, X=.20, Y=.20, X=.20
Step-by-step explanation:
A normal population has mean and standard deviation . (a) What proportion of the population is greater than ? (b) What is the probability that a randomly chosen value will be less than .
Answer:
0.0171
0.89158
Step-by-step explanation:
Given :
μ = 60
Standard deviation , σ = 17
The probability that a randomly chosen score is greater than 96;
P(Z > Zscore)
Zscore = (score, x - μ) / σ
Zscore = (96 - 60) / 17 = 2.118
P(Z > 2.118) = 1 - P(Z < 2.118) = 1 - 0.9829 = 0.0171
The probability that a randomly chosen score is less than 81;
P(Z < Zscore)
Zscore = (score, x - μ) / σ
Zscore = (81 - 60) / 17 = 1.235
P(Z < 1.235) = 0.89158
what is the slope intercept equation of the line below?
Answer:
[tex]{ \tt{slope, \: m = \frac{1 - ( - 1)}{1 - 0} }} \\m = 2 \\ y - intercept : y = mx + c \\ { \tt{1 = (2 \times 1) + c}} \\ c = - 1 \\ { \boxed{ \bf{y = 2x - 1}}}[/tex]
A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 5 tables is $53. The total cost to rent 8 chairs and 3 tables is $42. What is the cost to rent each chair and each table?
Answer:
c=cost of one chair rental
t=cost of one table rental
8c+3t=42
2c+5t=53
multiply the second equation, each term on both sides, by -4
8c+3t=42
-8c-20t=-212
add the two equations
-17t=-170
divide both sides by -17
t=$10 to rent one table
substitute t=10 into either original equation
2c+5(10)=53
2c+50=53
2c=3
c=$1.50 to rent one chair
PLS HELP
Let f(x) = -6x + 3 and g(x) = 5x + 4. Find f · g and state its domain.
A) -30x2 - 9x + 12; all real numbers
B) -30x2 - 9x + 12; all real numbers except x = 4
C) -18x2 - 39x + 20; all real numbers
D) -18x2 - 39x + 20; all real numbers except x = 1
Answer:
-30x^2-9x+12 all real numbers
Step-by-step explanation:
f(x) = -6x + 3 and g(x) = 5x + 4
f(x) * g(x) = (-6x + 3) * ( 5x + 4)
FOIL
= -30x^2 -24x+15x +12
Combine like terms
=-30x^2-9x+12
The domain is what numbers x can take
There are no restrictions so all real numbers
Q4 Compute the shearing stress at the very top of the vertical web just below the flange. for a beam with the T shaped cross section shown in Figure. The shearing force V on the section of interest is 6000 N. Le
ʕ•ﻌ•ʔ[tex]\huge\bold\pink{hello!!!}[/tex]ʕ•ﻌ•ʔ
HERE IS UR ANSWER
_____________________
formula used to calculate shear stresses due to bending, τ = VQ/It. We have just read the internal shear force, V, off of the shear diagram. We also already calculated the moment of inertia for this particular section.
τ=6000N
A rectangle with a length of 5 cm and a width of 2 cm is enlarged by a scale factor of 5. What would be the area of the new rectangle?
Area of old rectangle is multiplied by 25
Area of old rectangle is multiplied by 5
Area of old rectangle is multiplied by 20
Area of old rectangle is multiplied by 10
Area is in square units.
Square the factor: 5^2 = 25
The new area would be the area of the old rectangle multiplied by 25
Answer: Area of old rectangle is multiplied by 25
Step-by-step explanation:
Original rectangle
Length = 5 cmWidth = 2 cmArea = 2 · 5 = 10 cm²
New rectangle
Length = 5 · 5 = 25 cmWidth = 2 · 5 = 10 cmArea = 25 · 10 = 250 cm²
The area of the new rectangle = area of old rectangle × 25
Solve the following equation algebraically
3x 4 – 1 = 1874
Someone help so lost I didn’t understand the course and now I’m stuck please help a girl out
Answer:
the answer is b. you are basically multiplying them
What is the slope of the line that passes through the points (9, 4) and (9,-5)?
Write your answer in simplest form.
Answer:
slope=undefined
Step-by-step explanation:
(-5-4)/(9-9)
-9/0
[tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]
[tex]\frac{(-5-4)}{(9-9)}[/tex]
[tex]\frac{-9}{0}[/tex]
Because the denominator is 0, the slope is undefined.
Rise over run. The run is 0.
Type the correct answer in each box.
Consider the expressions shown below.
A B C
Complete each of the following statements with the letter that represents the expression.
is equivalent to expression
.
is equivalent to expression
.
is equivalent to expression
.
Answer:
BAC
Step-by-step explanation:
The expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12) is equivalent to the expression B.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial shown in the picture.
A = -7x² - 2x + 5
B = 7x² - 2x + 7
C = 7x² + 2x - 5
The expression is:
= (3x² - 6x + 11) - (10x² - 4x + 6)
= -7x² - 2x + 5
= A
= (-3x² - 5x - 3) - (-10x² - 7x + 2)
= 7x² + 2x - 5
= C
= (12x² + 6x - 5) - (5x² + 8x - 12)
= 7x² - 2x + 7
= B
Thus, the expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12) is equivalent to the expression B.
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ5
I need help with this
Answer:
A. More students prefer Model A1 calculators than the Model C3 calculators.
If a square root parent function is vertically compressed by a factor of 1/6,
what is the equation of the new function, G(x)?
O A. G(x)=1/6square root of x
B. G(x) = Square root of 6x
C. G(x) = 6 square root of x
D. G(x) = -6 square root of x
Answer:
the answer could be B i think cause that makes total sense
Kylie fell asleep 34% of the way through the trip. If kylie fell asleep after they had traveled 306 miles what wasthe total length of the trip.
Answer:
900
Step-by-step explanation:
34/100 = 306/x
Cross multiplying, you get:
34x=30600
x=900
Total trip is 900 miles long.
Last question pls help me
Answer:
Step-by-step explanation:
684 dollars
What is the value of this expression when h= -2 and g = 5?
242 +9
Answer:
B
Step-by-step explanation:
the g is not in the root, solve everything in the root separately and then add g to it
simplify (q and (-q or p)) or (p and -(q and p))
Step-by-step explanation:
(q and (not q or p)) = (q and not q) or (q and p) = false or q and p = q and p
(p and not (q and p)) = (p and (not q or not p)) =
= (p and not q) or (p and not p) = (p and not q) or false =
= p and not q
so, we have in total
(q and p) or (p and not q) = (p and q) or (p and not q).
this is p, because if p=false both brackets are false and therefore the whole expression is false. and if p=true, then one of the 2 brackets must be true, which makes the whole expression true.
Look at the images above. How are the fish food box and the shipping box similar? How are they different?
Answer:
Read below c:
Step-by-step explanation:
Both are rectangular prisms and they have similar dimensions. They are different because one is visibly larger then the other.
hope it helps c:
i need help plz help.i need the answer asap
Answer:
Step-by-step explanation:
If you need to use all the letters, the only other word I can see is STRUT.
Answer:
120
Step-by-step explanation:
5!
if they are looking for words that actually exist then 11
also rsm right?
19/3+[14/3 ÷{10-3(3+1/2-1/4)×1/3}]
Answer:
= 3 11/20
Sorry I am not doing the step by step.
For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4272 of supporting the claim that μ<6 hours of sleep when the actual population mean is 4.0 hours of sleep. Interpret this value of the power, then identify the value of β and interpret that value.
Answer:
#[tex]\beta=0.5492[/tex]
#This Value of [tex]\beta[/tex] goes to indicate that there is greater [tex]50\%[/tex] probability that [tex]\mu<8[/tex] will not be acknowledged at [tex]\mu =5[/tex]
Step-by-step explanation:
From the question we are told that:
Amount of sleep for adults [tex]X=P(< 6)[/tex]
Hypothesis test has power [tex]p=0.4272[/tex]
Mean [tex]\=x =4hours[/tex]
Generally the equation for [tex]\beta[/tex] is mathematically given by
[tex]\beta=1-P[/tex]
[tex]\beta=1-0.4508[/tex]
[tex]\beta=0.5492[/tex]
Therefore
This Value of [tex]\beta[/tex] goes to indicate that there is greater [tex]50\%[/tex] probability that [tex]\mu<8[/tex] will not be acknowledged at [tex]\mu =5[/tex]
The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.
Answer:
below
Step-by-step explanation:
domain. = ( -5 , 4)
range = ( -2 , 3)
what it the value of m when (2m+8)° and the other angle 24°
Answer:
m = 74
Step-by-step explanation:
2m+8 +24 has to = 180 because they form a line. So the equation would be 2m+32 = 180, so then 2m would equal 148, so m = 74.
Simplify 45 - 8 + 12 - (-25)
Answer:
74
Step-by-step explanation:
BODMAS
12-(-25)
=12+25=37
45-8+37
45-8=37
37+37=74
=74
Answer:
37+12+25
74 Answer
hope it helps
The degree of this expression 2x+3y=4
Answer:
1st degree
Step-by-step explanation:
You look at the largest exponet, right here, there are none so it would be 1st degree.
Answer:
1
Step-by-step explanation:
The degree of an expression with multiple exponents is the highest exponent in it. In this expression, there is no expression, so the answer will be 1 because there is no exponent and every variable and number has an invisible 1 as its exponent.
Hope this helps.
What is the answer to
5x9/17+6
Answer:
I don't know which one you mean so I did both:
[tex]\frac{5*9}{17+6} =\frac{45}{23}[/tex] [tex]5*\frac{9}{17} +6=\frac{45}{17} +\frac{102}{17} =\frac{147}{17}[/tex]