Answers
Answer:
b = 4,
m = 4/3,
y = 4x/3 + 4
Step-by-step explanation:
We can see the line intercepts the x-axis in (-3,0) and the y-axis in (0,4). So, using the fact that the line equation in the slope-intercept form is:
[tex]y = mx+b[/tex]
We can substitute the points we know:
→ (0,4):
[tex]y = mx+b\\\\4 = m\cdot0+b\\\\4 = 0+b\\\\\boxed{b=4}[/tex]
→ (-3,0):
[tex]y = mx+b\\\\0 = -3m + 4\\\\3m = 4\\\\\boxed{m = \dfrac{4}{3}}[/tex]
So, the line equation in form requested is:
[tex]\boxed{y=\dfrac{4}{3}x+4}[/tex]
Related Questions
Jason family donated 12 cases of soup for the schools food drive. Each case had four rows with six cans of soup in each row. how many cans of soup did Jason's family donate in all?
Answers
Answer:
288
Step-by-step explanation:
4*7=24
24*12=288
how Is this not 20 characters
EASY MATH QUESTION I will give brainiest to first correct answer!
Find the exact value of the following.
11.68 - 0.48 ÷ (-1.6) =
Happy Veterans Day, stay safe, God bless and happy studying!
Answers
Answer:
11.98
Step-by-step explanation:
1000 ft to 1950 ft in 4 miles what is slope
Answers
Answer:
0.05
Step-by-step explanation:
Slope is the vertical drop or rise to the horizontal distance;
Slope = [tex]\frac{vertical interval}{horizontal distance}[/tex]
Let us convert 4 miles to feet;
1 mile = 5280ft
4 miles = 4 x 5280 = 21120ft
Slope = [tex]\frac{1950 - 1000}{21120}[/tex] = 0.05
The slope is 0.05
A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.
4x + 5y = 30.50
11x + 14y = 84.50
The variable x represents the .
The variable y represents the .
The deli charges $ .
Answers
Answer:x=cost per pound of meat
Y=Cost per pound of cheese
The deli charges 4.50 for a pound of meat
Step-by-step explanation:
Answer:
The variable x represents the
✔ cost per pound of meat
.
The variable y represents the
✔ cost per pound of cheese
.
The deli charges $
✔ 4.50 for a pound of meat
.
Step-by-step explanation:
Find the midpoint of A and B where A has coordinates (2, 3)
and B has coordinates (8,9).
y
10
9
8
7
6
5
4
3
2
1
X
O
1 2 3 4 5 6 7 8 9 10
Answers
Answer:
The mid-point of AB is (5,6)
Step-by-step explanation:
The mid-point of two points lies between the middle of two points or divides the line in two equal parts.
The formula for finding mid-point, M, is:
[tex]M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point.
Given
(2, 3) and (8,9)
Putting the values in the formula
[tex]M(x,y) =(\frac{2+8}{2} , \frac{3+9}{2})\\M = (\frac{10}{2}, \frac{12}{2})\\M = (5,6)[/tex]
Hence,
The mid-point of AB is (5,6)
What sample size is needed to give a margin of error within +-6 in estimating a population mean with 95% confidence, assuming a previous sample had s=20.
Round your answer up to the nearest integer. sample size = _______.
Answers
Answer:
43
Step-by-step explanation:
The formula for Margin of Error =
Margin of Error = z × standard deviation/√n
Margin of Error= ± 6
z = z score of 95% Confidence Interval is 1.96
s = 20
n = sample size
±6 = 1.96 × 20/√n
Cross Multiply
±6 × √n = 1.96 × 20
±6 × √n = 39.2
Divide both sides by ±7
√n = 39.2/±6
√n = 6.5333333333
Square both sides
n = 6.5333333333²
n= 42.684444444
Rounding up to the nearest integer = 43
please help me out 5x + 2 +3x + 5
Answers
Answer:
8x + 7
Step-by-step explanation:
combine the like terms
Answer:
8x+7
Step-by-step explanation:
5x+3x=8x
2+5=7
ihope answer helps u
I tried solving this but I accidentally tried figuring out what it would be if it was decreased by 15% instead of increased so now I confused myself an I need help.
Answers
Answer:
120 magazines
Step-by-step explanation:
1.15x = 138
x = 120 magazines before increase
Check:
before increase + increase = sold
120 + 120(.15) = 138
120 + 18 = 138
138 = 138
Ezra has 21 chickens in a pen. He plans on adding 3 chickens every month to the pen. Based on this information, which representation shows this relationship between the number of chickens in the pen, y, and the number of months that have passed, x?
Answers
Answer:
Linear graph
y = 3x + 21
Step-by-step explanation:
If 4321 - 4322 = 10
Then what's 3321 - 3322 = ?
Answers
Answer:
10 sorry if i'm wrong
Step-by-step explanation:
Please help I'm really stressed about this it's simple it's the last question on this assignment I'll mark brainliest plzzz help
Answers
A 3 m - 3 B 3 m + -5 C m + 1 D 3 m + 13
Answers
Answer:
It's A
Step-by-step explanation:
George buys 1.5 pounds of apples, 2.7 pounds of
oranges, and 1.9 pounds of grapes. How much
change does he get from a $10 bill?
Answers
Answer:
aaaaaaaaaaaaaa2rdfdggggdfgdgv
Step-by-step explanation:
what is 3+5 divided by 6/7?
Answers
Answer:
8 divided by 6/7. I will give you the answer in fraction form and in decimal form. 56/6 can be simplified to 28/3. 28/3 is an improper fraction and should be written as 9 1/3.
Step-by-step explanation:
You add 3+5 together and then divide. After that you simplify your answer
Hope this helped, Have a Great Day!!
Estimate the:
length of a pen
length of a swimming pool
length of a marathon race
Answers
5.2 inches 13.12 cm
length of a swimming pool:50m
length of a marathon race:42.195 kilometers
hope this answers your question!Jessica found a coupon in the Sunday paper for $0.50 off each jar of
Ragu spaghetti sauce if you purchase 3 or more jars. Krogers is
selling the sauce for $4.75 a jar and Jessica purchased 4 jars. What
was the final price?
Answers
Final answer: the final price is $17
What is the equation for trying to solve slope ?
Answers
i hope this helped !
Answer:
slope =
Step-by-step explanation:
Which shapes have parallel sides? Choose ALL the correct answers.
Answers
Answer:
the green one for sure..
Step-by-step explanation:
convert the common fraction into decimal fraction
[tex] \frac{3}{4} [/tex]
Answers
Answer:
We know that 3/4=0.75.When expressed as decimal fraction it is 75/100
Find m angle KLJ
Answer choices:
22.5 degrees
75 degrees
15 degrees
73 degrees
Answers
The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table. Find the standard deviation of the random variable. Round to three decimal places. x 0 1 2 3 4 5 P(X= x) 11 7 3 1 1 1 48 24 16 6 12 24
Answers
Answer:
1.41
Step-by-step explanation:
Given the table :
X : _____0 ___ 1 ____ 2 ____ 3 ____ 4 ____5 P(X= x)_ 11/48_7/24_ 3/16____1/6___ 1/12 __1/24
The standard deviation = √var(x)
The Variance : Var(X) = (Σx²*p(x)) - μ²
μ = E(X) = Σ(X * p(x)) :
Σ(X * p(x)) = (0*(11/48))+(1*(7/24))+(2*(3/16))+(3*(1/6))+(4*(1/12))+(5*(1/24))
μ = 1.70833333
Var(X): [(0^2*(11/48))+(1^2*(7/24))+(2^2*(3/16))+(3^2*(1/6))+(4^2*(1/12))+(5^2*(1/24))] - 1.70833333^2
= 4.9166667 - 2.9184027663889
Std (x) = √1.9982639336111
Std (x) = 1.4135996
Std (x) = 1.41
Answer:
The Standard deviation of the random variable is 1.414.
Step-by-step explanation:
We Know,
Standard deviation= [tex]\sqrt{variance}[/tex]
Variance is given by:
[tex]Var(X)=E(X^{2} )-E(X)^{2}\\[/tex]
Given,
[tex]x = 0\ 1\ 2\ 3\ 4\ 5\\P(X=x)= \frac{11}{48} \ \frac{7}{24} \ \frac{3}{16}\ \frac{1}{6}\ \frac{1}{12}\ \frac{1}{24} \\[/tex]
[tex]E(X)=[/tex]∑ [tex]x*P(X)[/tex]
[tex]E(X) = 0+ 1*\frac{7}{24} + 2*\frac{3}{16} + 3*\frac{1}{6} + 4*\frac{1}{12} + 5*\frac{1}{24}\\= 1.7083[/tex]
[tex]E(X^{2} ) =[/tex][tex]0+ 1^{2} *\frac{7}{24} + 2^{2} *\frac{3}{16} + 3^{2} *\frac{1}{6} + 4^{2} *\frac{1}{12} + 5^{2} *\frac{1}{24}[/tex]
[tex]= 4.9167[/tex]
So,
[tex]Var(X)= 4.9167- 1.7083^{2}[/tex]
[tex]= 1.99841\\\\Hence, Standard Deviation= \sqrt{1.99841} \\\\ Standard Deviation= 1.413( (upto 3 decimals)[/tex]
Learn more: https://brainly.com/question/14668395
Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a certain year in the past. Suppose a sample of 100 major league players was taken. The probability that the mean salary of the 100 players exceeded $3.26 million is:________a. 0.0228b. 0.9772c. approximately 1d. approximately 0
Answers
Answer:
b) 0.0228
Step-by-step explanation:
We use the z score formula when given random number of samples =
z = (x-μ)/σ/√n where
x is the raw score = $3.5 million
μ is the population mean = $3.26 million
σ is the population standard deviation = $ 1.2 million
n = random number samples = 100
Hence,
z = 3.5 - 32.6/1.2/√100
z = 3.5 - 32.6/1.2/10
z = 3.5 - 3.26/0.12
z =2
Probability value from Z-Table:
P(x<3.5) = 0.97725
P(x>3.5) = 1 - P(x<3.5)
P(x>3.5) = 1 - 0.97725
P(x > 3.5) = 0.02275
Approximately ≈ 0.02278
The approximate probability that the mean salary of the 100 players exceeded $3.5 million is 0.02278
The regular price of an item is $109.99. It is marked 25% off. Find the discount and the sale price to the nearest cent.
Answers
Answer:
The discount price is $27.50
The sale price of item is $82.49
Step-by-step explanation:
Regular price of item = $109.99
Discount = 25%
We need to find discount and the sale price to the nearest cent.
Finding Discount Price
First we need to find 25% of 109.99 which is the discount price
[tex]25\% \ of \ 109.99\\=\frac{25}{100}*109.99\\=27.50[/tex]
The discount price is $27.50
Now, finding Sale price
Sale Price= Regular Price - Discount Price
Sale Price= 109.99 - 27.50
Sale Price = 82.49
The sale price of item is $82.49
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine.
(a) compute the z-score corresponding to the individual who obtained 37.8 miles per gallon. interpret this result.
(b) determine the quartiles.
(c) compute and interpret the interquartile range, iqr.
(d) determine the lower and upper fences. are there anyoutliers?
31.5 36.0 37.8 38.5 40.1 42.2
34.2 36.2 38.1 38.7 40.6 42.5
34.7 37.3 38.2 39.5 41.4 43.4
35.6 37.6 38.4 39.6 41.7 49.3
the z-score corresponding to the individual is
and indicates that the data value is
standard deviation(s) the
the table is for the entire problem.
Answers
Answer:
A.) - 0.2992
B.) Q1 = 36.75
Q2 = 38.45
Q3 = 41
C.) IQR = 4.25
D.) LOWER FENCE = 30.375
UPPER FENCE = 47.375
Yes, 49.3
Step-by-step explanation:
Given the data:
Arranged data in ascending order :
31.5, 34.2, 34.7, 35.6, 36.0, 36.2, 37.3, 37.6, 37.8, 38.1, 38.2, 38.4, 38.5, 38.7, 39.5, 39.6, 40.1, 40.6, 41.4, 41.7, 42.2, 42.5, 43.4, 49.3
Using calculator to save computation time :
Population mean (μ) = 38.88
Standard deviation (s) = 3.61
A.) The zscore for individual who obtained 37.8 miles per gallon :
Standardized score formula :
Z = (Score(x) - mean) / standard deviation
Z = (37.8 - 38.88) / 3.61
Z = - 1.08 / 3.61
Z = - 0.29916
Z = - 0.2992
B) The quartile ;
Lower quartile (Q1) :
1/4(n +1)th term
n = sample size = 24
1/4(24 + 1)
= 1/4(25) = 6.25th term
(6th + 7th) =(36.2 + 37.3) = 73.5/2 = 36.75
Upper quartile (Q3) :
3/4(24 +1) = 3/4(25) = 18.75th term
(18th + 19th) = (40.6 + 41.4) = 82/2 = 41
Median (Q2) :
1/2(24 +1) = 1/2(25) = 12.50th term
(12th + 13th) = (38.4 + 38.5) = 76.9/2 = 38.45
C.) interquartile range :
Q3 - Q1 = (41 - 36.75) = 4.25
D.) OUTLIER
LOWER : Q1 - 1.5(IQR) = 36.75 - 1.5(4.25) = 30.375 ; values less than 30.375
UPPER : Q3 + 1.5(IQR) = 41 + 1.5(4.25) = 47.375 ; values greater than. 47.375
Twelve large bottles of water cost $9. a. How many bottles can you buy for $3?
Answers
Answer:
4 bottles
Step-by-step
3 is 1/3 of 9 and 12/3 is 4 bottles
Someone please help thanks
Answers
Answer:
P=8T/V
Step-by-step explanation:
V=8T/P
PV=8T
P=8T/V
[solved] These Cylinders are similar. Find the volume of the smaller cylinder. Round to the nearest tenth. (the answer is 84.9 cm^3)
Answers
Answer:
84.9 cm³
Step-by-step explanation:
Height of the bigger Cylinder = 5 cm
Volume of the bigger Cylinder = 393 cm³
Height of the smaller cylinder = 3 cm
Volume of the smaller cylinder = x cm³
Since they are similar, therefore: the cube of their ratio would equal the ratio of their volume.
Thus:
[tex] (\frac{5}{3})^3 = \frac{393}{x} [/tex]
[tex] \frac{125}{27} = \frac{393}{x} [/tex]
Cross multiply
[tex] 125*x = 393*27 [/tex]
[tex] 125x = 10,611 [/tex]
Divide both sides by 125
[tex] \frac{125x}{125} = \frac{10,611}{125} [/tex]
[tex] x = 84.888 [/tex]
Volume of the smaller cylinder = 84.9 cm³ (to nearest tenth?
Enter an equation in standard form for the line.
Slope is -5, and (-6, -10) is on the line.
Answers
Y +10= -5x-30
5x+y+40=0
last question of the day lol:
Find the Slope and Y-intercept of each lines
Answers
Answer:
“Be strong and courageous. Do not fear or be in dread of them, for it is the LORD your God who goes with you. He will not leave you or forsake you.” [Deuteronomy 31:6]
Step-by-step explanation:
Answer:
The first one would be -4 and the second one would be 0
Step-by-step explanation:
look at where they cross the y line
Assume the table gives data on field goal shooting for two members of the Benedict College 2014-2020 men's basketball team. Seth Fitzgerald Roberto Mantovani Made Missed Made Missed Two-pointers 123 118 87 84 Three-pointers 31 6 2 17 NOTE: The numerical values in this problem have been modified for testing purposes. (a) What percent of all field goal attempts did Seth Fiqzgerald make? (Enter your answers rounded to two decimal places.) Seth Fitzgerald's overall field goal percentage:_______ What percent of all field goal attempts did Roberto Mantovani make? (Enter your answers rounded to two decimal places.) What percent of all field goal attempts did Roberto Mantovani make? (Enter your answers rounded to two decimal places.) Roberto Mantovani's overall field goal percentage:______________. (b) Find the percent of all two-point field goals and all three-point field goals that both Seth and Roberto made. (Enter your answers rounded to two decimal places.) Seth Fitzgerald's two-pointers: ______________% Roberto Mantovani's two-pointers:___________ % Seth Fitzgerald's three-pointers:____________ Roberto Mantovani's three-pointers:__________ (c) Roberto had a lower percent than Seth for both types of field goals, but had a better overall percent. That sounds impossible, select the correct statement concerning the situation. i) This is an example of Simpson's paradox. The comparison that holds for both field goal groups is reversed when the groups are combined into one group. ii) The sample size is too small and this explains why the results seem contradictory. iii) You should never compare percentages for two different groups. iv) This is an example of correlation. The comparison that holds for both field goal groups is reversed when the groups are combined into one group.
Answers
Answer:
(a) What percent of all field goal attempts did Seth Fitzgerald make? (Enter your answers rounded to two decimal places.)
Seth Fitzgerald's overall field goal percentage:__59.69%_____
What percent of all field goal attempts did Roberto Mantovani make? (Enter your answers rounded to two decimal places.)
Roberto Mantovani's overall field goal percentage: ______40.31%________.
(b) Find the percent of all two-point field goals and all three-point field goals that both Seth and Roberto made. (Enter your answers rounded to two decimal places.)
Seth Fitzgerald's two-pointers: _____58.57%_________%
Roberto Mantovani's two-pointers:_____41.43%______ %
Seth Fitzgerald's three-pointers:_____64.58%_______
Roberto Mantovani's three-pointers:_____35.42%_____
(c) Roberto had a lower percent than Seth for both types of field goals, but had a better overall percent. That sounds impossible, select the correct statement concerning the situation.
i) This is an example of Simpson's paradox. The comparison that holds for both field goal groups is reversed when the groups are combined into one group
Step-by-step explanation:
a) Data and Calculations:
Benedict College 2014-2020 men's basketball team:
Seth Fitzgerald Roberto Mantovani Total
Made Missed Made Missed Made Missed
Two-pointers 123 118 87 84 210 205
Three-pointers 31 6 17 2 48 8
Total 154 124 104 86 258 210
a) All field goal attempts = 258 (154 + 104)
Field goal attempts by Seth Fitzgerald = 154/258 * 100 = 59.69%
Goal 154 - 124 = 30/258 * 100 = 11.63%
Roberto Mantovani = 104/258*100 = 40.31%
Goal 104 - 86 = 18/258 *100 = 6.98%
Percent of all two-point field goals and all three-point field goals that both Seth and Roberto made:
Goals by both = 48 (30 + 18) = 48/258*100 = 18.61 (11.63 + 6.98)
Seth Fitzgerald's two-pointers = 123/210*100 = 58.57%
Roberto Mantovani's two-pointers = 87/210*100 = 41.43%
Seth Fitzgerald's three-pointers = 31/48*100 = 64.58%
Roberto Mantovani's three-pointers = 17/48*100 = 35.42%
b) Simpson's paradox, also called Yule-Simpson effect, says that when we combine all of the groups together (e.g. two-pointer and three-pointer games played by Seth and Roberto respectively) and look at the data in total form, the correlation that we noticed before may reverse itself. The cause of this reversion is lurking variables or numerical values of the data.