Answer:
i
Step-by-step explanation:
i stands of imaginary because no real numbers are negative
A farmer knows that a grocery store will reject a shipment of his vegetables if more than 4% of the vegetables contain blemishes. He inspects a large truckload of tomatoes to determine if the proportion with blemishes (p) exceeds 0.04. He selects an SRS of 150 tomatoes from the more than 2,000 tomatoes in the truck. Suppose that 8 tomatoes sampled are found to have blemishes. Which of the assumptions for inference about a proportion is violated, if any?
a. Large Counts: np > 10
b. Large Counts: n(1 – p) > 10
c. The sample is a random sample of the entire population.
d. 10% condition: the sample size is less than 10% of the population.
e. There do not appear to be any violations.
Answer:
Assumption A is violated
Step-by-step explanation:
x = number of blemishes = 8
n = sample size = 150
proportion = x/n = 8/150 = 0.0533
1. large counts: np> 10
= 150 * 0.0533 >10
= 7.995 > 10
this assumpton is obviously violated. 7.995 is not greater than 10
2. Large Counts: n(1 - p) > 10
150(1-0.0533)>10
150-7.995 > 10
142.005> 10
there is no violation. The assumption is satisfied
3. This assumption is satisfied. this is because the tomatoes were selected using simple random sampling.
4. 10% of the population = 0.1 * 2000 = 200
the sample size = 150
150 < 200
this assumption is satisfied
Which shows a rational number plotted correctly on a number line?
Answer:
none of the 3 showing are correct
Step-by-step explanation:
Answer:
Pretty sure its A hope it helps! But i have to get back to my test .
Step-by-step explanation:
Please can someone help me !!
Answer:
Step-by-step explanation:
for question 4, the x= 116 °
they are just trying to show you that the degrees of the arc, is also the degrees of the angle from the center point of the circle.. and then they will get "tricky" with that idea :/
for question 5 x = 90 °
they just want you to recognize that a "tangent" line is 90 ° is all
for question 6 they want you to know this formula
(b -a) /2 where b = the bigger arc and a is the smaller arc
so (134 - 54) /2
80 / 2
40 °
the answer to 6 is 40 °
leave a comment if you want more explanation of how I got those :)
Expand the following up to the term x⁴.
(2 + x)^-1
Answer:
Rewrite the expression using the negative exponent rule
rule b^-1 = 1/bn
1/2+x
Step-by-step explanation:
this is the correct answer you want.
a normal distribution has a mean of 56 and a standard deviation of 8. Find the percentage of data values that are in the given interval. Use the curve to aid you.
Answer:
12) Between 40 and 64 = 0.815
13) Between 32 and 40 = 0.0235
14) Between 56 and 64 = 0.34
15) At most 56 = 0.515
16) At least 72 = 0.025
17) At most 64 = 0.855
Explanation:
To answer this, we will convert each of the values into their standardized form to make this easier.
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ
x = Each value
μ = Mean = 56
σ = Standard deviation = 8
12) Between 40 and 64
For 40,
z = (x - μ)/σ = (40 - 56)/8 = (-16/8) = -2
For 64
z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1
So,
Between 40 and 64 = Between -2 and 1
From the curve, noting that the central point is the mean, with standard score of 0, the lines before it move in step of 1 standard deviation towards the negative side, that is, -1, -2, etc. And the lines before the central point move towards the positive side, that is, 1, 2, 3, etc.
So,
Between -2 and 1 = 0.135 + 0.34 + 0.34 = 0.815
13) Between 32 and 40
For 32,
z = (x - μ)/σ = (32 - 56)/8 = (-24/8) = -3
For 40,
z = (x - μ)/σ = (40 - 56)/8 = (-16/8) = -2
So,
Between 32 and 40 = Between -3 and -2 = 0.0235
14) Between 56 and 64
For 56,
z = (x - μ)/σ = (56 - 56)/8 = (0/8) = 0
For 64,
z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1
Between 56 and 64 = Between 0 and 1 = 0.34
15) At most 56
For 56,
z = (x - μ)/σ = (56 - 56)/8 = (0/8) = 0
At most 56 = At most 0 = 0.0015 + 0.0235 + 0.15 + 0.34 = 0.515
All the regions before z = 0)
16) At least 72
For 72,
z = (x - μ)/σ = (72 - 56)/8 = (16/8) = 2
At least 72 = At least 2 = 0.0235 + 0.0015 = 0.025
(All the regions from z = 2 to the end)
17) At most 64
For 64,
z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1
At most 64 = At most 1 = 0.0015 + 0.0235 + 0.15 + 0.34 + 0.34 = 0.855
(All the regions before z = 1)
Hope this Helps!!!
What ordered pairs are the solutions of the system of equations shown in the graph below?
Answer:
(-3,1) and (-8,6)
Step-by-step explanation:
Hey gabymcarrillo!
The solution is always the place where the two lines intersect.
Our first answer: go 3 left on the x- axis, and then go 1 up on the y- axis. This results in (-3,1)
Our second answer: go 8 left on the x- axis, then go 6 up on the y- axis. This results in (-8,6)
Hope a helped, have a nice day!
-Aadi x
b) The cost (x) for hiring and artist for a stage show for (y) hours is represente
as 2y + x = 20.
Draw the graph 2y + x = 20 on the grid below.
[4]
The easiest way is to transform this equation to intercept form of straight line.
[tex]\\[/tex]
Intercept form of straight line:
[tex]\dfrac{x}{a}+\dfrac{y}{b}=1[/tex]where [tex]a[/tex] is the x intercept - where the graph intersects the x axis, and [tex]b[/tex] is the y intercept - where the graph intersects the y axis.
[tex]\\[/tex]
Given that,
[tex]2y + x = 20[/tex]
[tex] \longrightarrow \: \dfrac{2}{20}y + \dfrac{x}{20} = 1[/tex]
[tex] \longrightarrow \: \dfrac{x}{20} + \dfrac{y}{10} = 1[/tex]
On comparing with [tex]\dfrac{x}{a}+\dfrac{y}{b}=1,[/tex] we get,
[tex]a=20[/tex][tex]b=10[/tex]Hence, the graph shall cut the x axis and y axis at 20 and 10 respectively. This information is enough to plot the graph.
[tex]\\[/tex]
Graph: Refer to the attachment.
Lei is icing some cupcakes. She has 3/4 cups of frosting. Each cupcake needs 3/16 cup of frosting. How many can she frost?
Answer:
4
Step-by-step explanation:
3/4÷3/16
3/4×16/3
3•16=48
4×3=12
48÷12=4
Branliest to correct answer please explain how you solved it
Answer: it is a.
Step-by-step explanation: because I'm smart.
Answer: 2% or 3%
Most likely 2%.
Step-by-step explanation:
There’s a 20 sided dice and 100÷20=5
but you have to think of it as 26
2% x 26= 0.52 make 0.52 a 52 and take off the 2 from 52 and make it your answer, 2%
thats what I came up with and gathered after some tests on a normal online calculator that doesn‘t do remainders.
Please answer the questions below
Answer:
15 cm²
Step-by-step explanation:
A petri dish is a small, shallow dish of thin glass or plastic, used especially for cultures in bacteriology. A 2-inch-radius petri dish, containing nutrients upon which bacteria can multiply, is smeared with a uniform suspension of bacteria. Subsequently, spots indicating colonies of bacteria appear. The distance of the center of the first spot to appear from the center of the petri dish is a variable with density curve y= x/2 for 0 < x <2 and y=0 otherwise.
a. Graph the density curve of this variable.
b. Show that the area under this density curve to the left of any number x between 0 and 2 equals x2/4.
c. What percentage of the time is the distance of the center of the first spot to appear from the center of the petri dish
1. at most 1 inch?
2. between 0.25 inch and 1.5 inches?
3. more than 0.75 inch?
Answer:
a) attached below
b) Area = 1/2 ( base ) (height )
= 1/2 ( x ) ( x/2)
= x^2 / 4
C) i)25% ii) 54.69% iii) 85.94%
Step-by-step explanation:
Given density curve y = x/2 for 0 < x < 2 and y = 0
a) Graph the density curve of this variable
attached below
b) show that the area under the density curve to the left of any number x between 0 and 2 equals x^2/4
base of triangle = x
height = x/2
Hence to show the area under the density curve is equal to x^2/4 we will calculate the area to the left
Area = 1/2 ( base ) (height )
= 1/2 ( x ) ( x/2)
= x^2 / 4
c) Determine the percentage of the time of the distance of the center of the first spot to appear from the center of the petri dish
i) At most 1 inch
(area to the left of 1 ) = 1^2 / 4
= 1/4 = 0.25 ≈ 25%
ii) between 0.25 inch and 1.5 inches?
( area between 0.25 and 1.5 ) = ( area to the left of 1.5 ) - ( Area to the left of 0.25 )
= (1.5^2 / 4 )- ( 0.25^2 / 4 )
= 0.5469 = 54.69%
iii) more than 0.75 inch
( Area to the right of 0.75 ) = 1 - (0.75^ / 4)
= 0.8594 = 85.94 %
solution to 3x+4=3x+4
Answer:
6x+8
Step-by-step explanation:
Brainliest?
Answer:
0 = 0
Step-by-step explanation:
Subtract 4 from both sides of the equation
3 + 4 − 4 = 3 + 4 − 4
Simplify
Subtract the numbers
3 = 3 + 4 − 4
3 = 3
Subtract 3x from both sides of the equation
3 − 3 = 3 − 3
Combine like terms
0 = 3 − 3
Result
0 = 0
HELP ITS A MATH EMERGENCY
Answer:
A. is the correct answer.
Step-by-step explanation:
Answer:
h
Step-by-step explanation:
write the sum as a fraction whole number or mixed number in lowest terms 5/14 + 5/14 + 2/14
Answer:
5/14 + 5/14 + 2/14 = 12/14 = 6/7
Step-by-step explanation:
One acre is equivalent to 43,560 square feet. If an acre is also equivalent to 4,840 square yards, how many square feet are equal to one square yard? Add an explanation and a step by step answer.
Help please thank you so much! (Math has never really been my strongest subject)
Answer:
Step-by-step explanation:
1 acre = 4,840 yd²
1 acre = 43,560 ft²
4,840 yd² = 43,560 ft²
1 yd² = 43,560/4,840 ft² = 9 ft²
What note receives one beat in 2/4?
A taxi charges 2.50 plus .50 fee for each mile. If the ride costs 7.50 how many miles did he travel
Answer: 10 miles
Step-by-step explanation:
Mile 1: 3.00
Mile 2: 3.50
Mile 3: 4.00
Mile 4: 4.50
Mile 5: 5.00
Mile 6: 5.50
Mile 7: 6.00
Mile 8: 6.50
Mile 9: 7.00
Mile 10: 7.50
The equation of the line that contains the points (-8, 1) and (0, -5) is
Answer:
y = -3/4x -5 (G)
Step-by-step explanation:
Find the slope by using the slope formula. (It's hard to format here so look it up)
Basically, it is y2 - y1/x2 - x1
-5 - 1/ 0 + 8
-6/8 = -3/4
The slope is -3/4.
Plug in for y = mx + b
y (y coordinate) = -5
x (x coordinate) = 0
slope (m) = -3/4
-5 = -3/4(0) + b
-5 = 0 + b
b = -5
y = -3/4x -5
(11a2b+17a-4b2+15)+(12a2b-16b2+3)=
Answer:
232−202+17+18
8. Misty created the number pattern below. 32, 28, 24, 20, ... If n represents a number in this pattern, which rule could be used to find the next number in the pattern?
Answer:
An = 32 - (4*(n-1))
Step-by-step explanation:
the starting term for this pattern is 32 (which you will need to include in the "rule")
you also know that the next term is the previous term - 4
so!
we can write this pattern as
An = 32 - (4*(n-1))
An = any number of term in the pattern
- ex). A2 = 28, A3 = 24, etc
n = the nth term
- the 3rd term = 24, the fourth term = 20, etc
A 10-foot ladder is leaning against a tree. The bottom of the ladder is 6 feet away from the bottom of the tree. About how high up the tree does the top of the ladder reach?
4 feet
6 feet
8 feet
16 feet
Answer:
8 feet
Step-by-step explanation:
Ladder = hypotenuse
bottom of ladder to tree = leg
x, 6, 10
Clear 3-4-5 triangle so,
x=8
ANSWER ASAP FOR BRAINIEST AND 100 POINT ASAP
Find the value of x in the triangle.
The total measure of all the angles in a triangle is 180°.
Since there is already a 90° angle, the other 2 angles must also add up to 90°.
The only answer that fits is x = 9.
Check:
9x7 = 63°
3x9 = 27°
Add up = 90°
:)
C (x=18)
is your answer
What is the value of the expression below when x=7?
6x+ 10
A. 52
B. 67
C. 42
D.77
Answer:
52
Step-by-step explanation:
when a letter is next to a number like that and they tell u what the letter is u times it so 6x7+10=52 hope this helped :P
What is the distance between (-2, -3) and (-4, 3)? Use the distance formula and show your work.
Answer:
D = 6.32
Step-by-step explanation:
-2 to -4 = 2
-3 to 3 = 6
D² = 2² + 6²
D² = 4 + 36 = 40
D = 6.32
solve for x in the equation 5x-4=2x+20
The solution to the equation 5x - 4 = 2x + 20 is x = 8 which can be determined by simplification process.
To solve for x in the equation 5x - 4 = 2x + 20, we can follow these steps:
Start by isolating the x terms on one side of the equation. We can do this by subtracting 2x from both sides:
(5x - 2x) - 4 = (2x - 2x) + 20]
Simplifying:
3x - 4 = 20
Next, isolate the constant term on the opposite side of the equation by adding 4 to both sides:
(3x - 4) + 4 = 20 + 4
Simplifying:
3x = 24
Finally, solve for x by dividing both sides of the equation by 3:
(3x)/3 = 24/3
Simplifying:
x = 8
Therefore, the solution to the equation 5x - 4 = 2x + 20 is x = 8.
To know more about "equation." here
https://brainly.com/question/29174899
#SPJ2
Full Question-
Solve for x in the given equation 5x-4 = 2x+20
A line with a slope of 0 passes through the point (9,5). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:y=x+5
Step-by-step explanation:
Help plzzzzzzzzhwhehdhd
Answer: d, eight and fifty-three thousandths
Step-by-step explanation:
The number before the decimal place in the units column is a whole number (8).
The numbers after (.053) are thousandths because the whole number (8.053) consists of 4 numbers the same way a 1000 does.
Sorry I found the last bit harder to put into words, but I hope it helps :)
Help please I give brainliest and be serious
Answer:
you add all sides then you can calculate
An instructor who taught two sections of statistics last term, the first with 20 students and the second with 30, decided to assign a term project. After all projects had been turned in, the instructor randomly ordered them before grading. Consider the first 15 graded projects. a. What is the probability that exactly 10 of these are from the second section
Answer:
0.207 = 20.7% probability that exactly 10 of these are from the second section
Step-by-step explanation:
The students are chosen without replacement, which means that the hypergeometric distribution is used.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
20 + 30 = 50 total students, which means that [tex]N = 50[/tex]
30 students from the second section, which means that [tex]k = 30[/tex]
First 15 graded projects, so sample of 15, which means that [tex]n = 15[/tex]
a. What is the probability that exactly 10 of these are from the second section
This is P(X = 10).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 10) = h(10,50,15,30) = \frac{C_{30,10}*C_{20,5}}{C_{50,15}} = 0.207[/tex]
0.207 = 20.7% probability that exactly 10 of these are from the second section
Write the equation of a line that
passes through the point (0, 3)
with a slope of -3
.
Answer:
y = -3x + 3
Step-by-step explanation:
use the formula y - y1 = m ( x - x1)
y - 3 = -3 ( x - 0)
y - 3= -3x
y = -3x + 3