Answer:
y = 4x +11Step-by-step explanation:
[tex](-3,-1) = (x_1, y_1) \\ m = 4[/tex]
Substitute values into point slope form
[tex]y-y_1 = m(x-x_1) \\ y - ( - 1) = 4(x - ( - 3)) \\ y + 1 = 4(x + 3) \\ y + 1 = 4x + 12[/tex]
Collect like terms and simplify
[tex]y = 4x + 12 - 1 \\ y = 4x + 11[/tex]
Answer:
y=4x + 11
Step-by-step explanation:
y = mx + b
y = 4x + b
-1= 4(-3) + b
b= 11
y= 4x + 11
Ellie read an article claiming that 10% of people in her county were senior citizens, and she thought that it may be higher for residents in her city. She took a random sample of 225 people from her city and found that 36 of them were senior citizens. She wants to test H0:p=0.10 versus Ha:p > 0.10, where p is the proportion of people in her city that are senior citizens. Assuming that the conditions for inference have been met.
Required:
Calculate the test statistic for Ellie's significance test.
Answer:
The value is [tex]z = 3[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion of senior citizens is [tex]p = 0.10[/tex]
The sample size is [tex]n = 225[/tex]
The number of senior citizens is k = 36
The null hypothesis is [tex]H_o : p = 0.10[/tex]
The alternative hypothesis is [tex]H_a : p > 0.10[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^{p} = \frac{k}{n}[/tex]
=> [tex]\^{p} = \frac{ 36 }{225}[/tex]
=> [tex]\^{p} =0.16[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^{p} - p }{\sqrt{\frac{p(1 -p )}{n} } }[/tex]
=> [tex]z = \frac{0.16 - 0.10 }{\sqrt{\frac{p(1 -0.10)}{225} } }[/tex]
=> [tex]z = 3[/tex]
Answer:
P-value ≈ 0.0588
Step-by-step explanation:
1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line. Work for Point 1 Work for Point 2 Work for Point 3 Work for Point 4
Answer:
We have the equation:
3x - 5y = 15
a) We want to create a table with at least 4 points.
To do this, first, let's write the equation as a function: We must isolate one of the variables. Let's isolate y.
5y = 3x - 15
y = (3/5)*x - 3.
Then we have a linear equation.
Now, we can input different values of x, and see what value takes y in each case, then in this way we can be sure that the points will be on the line.
x = 0.
y = (3/5)*0 - 3
y = -3
Then we have the point (0, -3).
x = 1.
y = (3/5)*1 - 3 = 3/5 - 15/5 = -12/5
y = -12/5
Then we have the point (1, -12/5)
x = 5
y = (3/5)*5 - 3 = 3 - 3 = 0
y = 0
then we have the point (5, 0)
x = 10
y = (3/5)*10 - 3 = 6 - 3 = 3
y = 3
Then we have the point (10, 3).
Now we can create the table
[tex]\left[\begin{array}{ccc}x&y\\0&-3\\1&-12/5\\5&0\\10&3\end{array}\right][/tex]
Below you can see a graph, where the blue dots are our 4 points, and the green line is the line that represents the equation.
Solve the equation. Then check your solution.
-4/5 w+ 1/4= 1/5 + 1/3w. A.-27/68.
B.3/68.
C.3/28.
D-3/68
Answer:
CORRECT ANSWER IS B
Step-by-step explanation:
edge 2023 ;D
. A snack bar is having a sale on hamburgers. At 9:00AM, the snack bar has sold 28 hamburgers. At 12:00PM, the snack bar discovers that it has sold 103 hamburgers. What is the average rate of change between 9:00AM and 12:00PM?
Answer:
75
Step-by-step explanation:
The average rate of change between 9:00 AM and 12:00 PM is 25 if a snack bar is having a sale on hamburgers. At 9:00 AM,
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that:
A snack bar is having a sale on hamburgers. At 9:00 AM, the snack bar sold 28 hamburgers.
At 12:00 PM, the snack bar discovers that it has sold 103 hamburgers.
The average rate of change between 9:00 AM and 12:00 PM:
= (103 - 28)/(12 - 9)
= 75/3
= 25
Thus, the average rate of change between 9:00 AM and 12:00 PM is 25 if a snack bar is having a sale on hamburgers. At 9:00 AM,
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9(r) = -1 - 77
Evaluate function
is 13.48 irrational or rational?
Answer:
It is irrational
Step-by-step explanation:
Rational numbers do not have decimals.
find the value of x. PLEASE HELP.
The answer is 25. Teacher gave us the answer, but I need to show my work.
Answer:
Step-by-step explanation:
2+5x+53=180
55+5x=180
5x=125
x=25
hope this helps :)
A researcher conducts two studies. Each study was a one-sample z test. Both studies placed the rejection region in both tails and measured the same sample mean. The beat level in Study 1 was larger than the beta level used in Study 2. Which study is associated with greater power to detect an effect
Answer:
Study 2 will produce a greater power to detect an effect because it has a lower beta level
Step-by-step explanation:
Generally, alpha level is the probability of rejecting the null hypothesis when it's true. Whereas beta level is the opposite and it's the probability of accepting the null hypothesis even though it’s false.
Now, in statistics the lower the alpha level, the more we require a stronger evidence. Thus, a higher alpha level is usually required to produce a stronger evidence.
Now, an increase in alpha level means a decrease in beta level and a decrease in alpha level means an increase in beta level.
This means that the lower the beta level, the greater is the power to detect an effect.
Now, we are told that the beta level in study 1 was larger than the beta level used in Study 2.
Thus, study 2 will produce a greater power to detect an effect because it has a lower beta level
If Jim drove 5 miles to work. Kari drove 3 times as many miles as Jim. Sondra drove 4 times as many miles as Kari. How many more miles did Sondra drive than Kari.
Answer:
45
Step-by-step explanation:
kari had 15 miles 5x3=15
sondra had 60 miles 15x4=60
40-15=45
Find the equation of a line parallel to -5x+y=2 that contains the point (5,-2)
Step-by-step explanation:
y= 5x+2
Well first, parallel equations will always have to same slope so we know one part of the equation, 5x
I always plug in random numbers for b into desmos until the line passes through the given point orrrr you can use the point, plug it into the equation, and solve for b
-2=5(5)+b
I have no idea how to do this
Answer:
it's ok!! thats why you have us!! we're here to help!
13/z
have a nice day!! also hope this helps!
Step-by-step explanation:
Answer:
13 on top
Z on the bottom
Step-by-step explanation:
6 plus 7 is 13
Find the length of the side x in simplest radical form with a rational denominator.
Answer:
2.449489743
Step-by-step explanation:
4/15 ÷ 10/13 pls help me
Answer: 26/75
(4/15) ÷ (10/13) (Multiply the reciprocal of 10/13)
= (4/15) · (13/10) (Cancel out the common factor of 2)
= (2/15) · (13/5) (Multiply the numerators together and denominators together)
= 26/75
PLEASE HELP!
How do you calculate the cost of repaying a car loan
Answer:
Multiply and divide
Step-by-step explanation:
Answer:
To determine how much you can expect to pay in finance charges over the life of the loan, multiply the Monthly Payment Amount by the Number of Payments, minus the Amount Borrowed. This should give you the Total Amount of Finance Charges that you can expect to pay.
Step-by-step explanation:
Hope This Helps probably not but here!
2y+4x=8 Solve for y
Show steps
Answer:
y=−2x+4
Step-by-step explanation:
Let's solve for y.
2y+4x=8
Step 1: Add -4x to both sides.
4x+2y+−4x=8+−4x
2y=−4x+8
Step 2: Divide both sides by 2.
2y/2=
(−4x+8)/2
y=−2x+4
Answer:
y=−2x+4
Look at the number below.
6642
How is the value of the digit in the thousands place related to the value of the digit in the hundreds place?
A It is six times greater.
B
It is ten times greater.
С
It is one hundred times greater
The values of the digits are the same.
Answer:
Option (B)
Step-by-step explanation:
Given number is 6642.
Number at ones place = 2
Number at tens place = 4
Number at hundredth place = 6
Number at thousand place = 6
Value of the number at tens place = 4 × 10 = 40
Value of the number at hundreds place = 6 × 100 = 600
Value of the number at thousand place = 6 × 1000 = 6000
Number at thousand place = 10 × (Number at hundreds place)
Therefore, Option (B) will be the answer.
Each batch makes 24 cookies. You make x batches of cookies, but eat 5 cookies as you are baking. Write an expression for the number of cookies that you have.
Answer:
24x-5
Step-by-step explanation:
x= number of batches
24x -5
please help me with this i will mark you brainliest
Answer:
(-3,7)
Step-by-step explanation:
Hope it helps
Caleb and Sergio stacked boxes on a shelf. Caleb lifted 14 boxes and Sergio lifted 12 boxes. The boxes that Sergio lifted each weighed 10 lb more than the boxes Caleb lifted.
Let c represent the weight of each box Caleb lifted.
Which expression represents the total number of pounds Sergio lifted?
120c
10(c−12)
12(c+10)
c + 10
Answer:
b
Step-by-step explanation:
Answer:
12 c+10
Step-by-step explanation:
becus
430tens times 30tens equals. Hundreds
Answer:
Hundreds & 100
Step-by-step explanation:
. I'm very bad in math help would mean alot to me
Answer:
(6,1)
Step-by-step explanation:
In order to find the third point, you first need to identify the side length of XZ. X is (1, 1) and Z is (1, 5). In order to find the length of this segment, you just need to subtract 1 from 5 since that is the difference in the y-values and the x-values are the same.
Now, you know that XZ = 4. The problem says that the area of the triangle is 10, and the area of a triangle is a = [tex]\frac{1}{2}[/tex]bh, so you can just insert the values into the equation to solve for the base:
a = [tex]\frac{1}{2}[/tex]bh
= 10 = (1/2) * b * 4
= 10 = 2b
= 5 = b
Because the base is 5 units long, you can just add 5 to the x-value of the point Z, since Y is 5 units to the right of it
Y is (1 + 5, 1)
Y is (6,1)
Which mathematical property is demonstrated?
5⋅7⋅4=5⋅4⋅7
associative property of addition
associative property of multiplication
commutative property of multiplication
commutative property of addition
Answer:
commutative property of multiplication
Step-by-step explanation:
HELP ME PLS!! Here’s a picture that i uploaded for the question.
there is no picture :(
Please help ASAP!!! Will give brainlist!
Answer:
the last 1
Step-by-step explanation:
Mike invests $12,500 at 9% for a term of 12 years. What is the interest earned for his investment?
Answer:
$13.5
Step-by-step explanation:
l= P×R×T/100
I= 12,500×9×12/100
l= $13,5
The interest earned for his investment after 12 years is $13,500.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, P=$12,500, rate of interest=9% and time period=12 years.
Here, simple interest = (12500×9×12)/100
= 1350000/100
= 13,500
So, the interest is $13,500
Therefore, the interest earned for his investment after 12 years is $13,500.
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()) Evaluate the expression.
-15 - -14 / 1 + -9 x -11
Answer:
-15--14/1 +-9x-11
-15+14+99
-1+99
98
Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of p(x) = –50 + 14x – x2? a shift down 1 unit a shift left 7 units a shift right 1 unit a shift up 7 units
Answer:
Shift down one unit
Step-by-step explanation:
Correct for e2020
The transformation applied to the graph of f(x) to produce the graph of p(x) is:
A). a shift down 1 unit and a shift left 7 units.
What is transformation on the graphs?Let the functions f(x) and g(x) be two real functions.
And g (x) = f (x) + k, where k is real numbers.
The function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
The function provided by the basic function f(x) and the constant
g(x) = f(x - k),
may be drawn by horizontally moving the f(x) k unit coordinates.
The shift's direction depends on the value of k. Specifically,
The base graph moves k units to the right if k > 0, and
The base graph moves k units to the left if k < 0.
To determine the transformation applied to the graph of f(x) = x² to produce the graph of p(x) = –50 + 14x – x², we can compare the general forms of the two functions:
f(x) = x²
p(x) = –x² + 14x - 50
The function p(x) can be written as,
p(x) = –(x² - 14x + 49) - 1
p(x) = -(x - 7)² - 1
Therefore, the transformation applied to the graph of f(x) to produce the graph of p(x) is:
A). a shift down 1 unit and a shift left 7 units.
So, the correct answer is A).
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Lainey bought a set of 20 markers for $6
What is the cost for 1 marker?
Answer:
30¢
Step-by-step explanation:
$6 ÷ 20 = $0.30
What are the possible rational zeros of f(x) = x4 + 2x3 - 3x2 - 4x – 12? (1 point)
Find the critical t-value for a 98% confidence interval estimation if the sample size equals 11. (Round your solution to 4 decimal places)
Answer:
2.764
Step-by-step explanation:
Critical value = tα/2, degrees of freedom
Degrees of freedom = n - 1
n = 11
Degrees of freedom = 11 - 1
= 10
tα/2 = 100 - 98%/2
= 2%/2
= 1%
= 0.01
Critical value = 0.01, 10
Using the Critical T value table, the Critical T value for
two tails( a degree of significance of 0.02 and degree of freedom of 10) or one tail (0.01, 10) = 2.764