The value of b which make the function relations to be true is 5.
What are relations and functions?The function is a relation that states that each input and each output must have a single value.
The expression that established the relationship between the dependent variable and independent variable is referred to as a function.
In the function as the value of the independent variable varies the value of the dependent variable also varies.
Given coordinates are ((0,4), (8,1), (b,5), (3,6)}. The value of b will be calculated as:-
((0,4),
(8,1),
(b,5) = ( 5,5)
(3,6)}
If all output values are different from each other then all the input values will also be different.
Therefore, the value of b which makes the function relations to be true is 5.
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2. Draw the following lines and then write an equation for each
a. Slope is 0, y-interceptis 5
b. Slope is 2, y intercept is -1
c. Slope is -2, y-intercept is 1
d. Slope is }, y-intercept is -1
Answer:
b
Step-by-step explanation:
In triangle ABC, AC = 8 cm, BC = 5 cm, and mZACB = 30°.
Exactly how long is AB ?
Two brothers, Michael and Alan, were in a bowling league that met once a
week. From past experiences, it is known that both brothers' scores are
approximately normally distributed where Michael has a mean score of 150
with a standard deviation of 30, and Alan has a mean score of 165 with a
standard deviation of 15. Assuming that their scores are independent, which
of the following values is closest to the probability that Michael will have a
greater core than Alan in a single game?
0.16
0.28
0.31
0.33
0.37
Answer:
The correct option is;
0.28
Step-by-step explanation:
The given parameters are;
The mean score for Michael, [tex]\bar x _1[/tex] = 150
The standard deviation, σ₁ = 30
The mean score for Alan, [tex]\bar x _2[/tex] = 165
The standard deviation, σ₂ = 15
Taking n₁ = n₂ = 1
[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Taking μ₁ - μ₂ = 0
[tex]z=\dfrac{(150-165)}{\sqrt{\dfrac{30^{2} }{1}-\dfrac{15^{2}}{1}}} \approx -0.577[/tex]
The p-value for a z-score of -0.577 from the z-table is 0.28434
Therefore, the probability that Michael, with mean score, [tex]\bar x _1[/tex] = 150 will have a greater score than Alan, with a mean score of [tex]\bar x _2[/tex] = 165 is 0.28434 ≈ 0.28
Therefore, the correct option is 0.28
Ralph went for a drive in his new car he drove at a speed of 62.5 miles per hour for 5 hours how many miles did he drive
Answer:
in step by step
Step-by-step explanation:
Distance problems are word problems that involve the distance an object will travel at a certain average rate for a given period of time.
The formula for distance problems is: distance = rate × time or d = r × t.
Things to watch out for:
Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.
It would be helpful to use a table to organize the information for distance problems. A table helps you to think about one number at a time instead being confused by the question.
Distance Problems: Given Total Time
Example:
John took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours traveling, what is the distance traveled by John?
Solution:
Step 1: Set up a rtd table.
r
t
d
Case 1
Case 2
Step 2: Fill in the table with information given in the question.
John took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours traveling, what is the distance traveled by John?
Let t = time to travel to town.
7 – t = time to return from town.
r
t
d
Case 1
40
t
Case 2
30
7 – t
Step 3: Fill in the values for d using the formula d = rt
r
t
d
Case 1
40
t
40t
Case 2
30
7 – t
30(7 – t)
Step 4: Since the distances traveled in both cases are the same, we get the equation:
40t = 30(7 – t)
Use distributive property
40t = 210 – 30t
Isolate variable t
40t + 30t = 210
70t = 210
210/70
Step 5: The distance traveled by John to town is
40t = 120
The distance traveled by John to go back is also 120
So, the total distance traveled by John is 240
Answer: The distance traveled by John is 240 miles.
Someone please help pleaseeee
Landon left his house at time zero and drove to the store, which is 6 blocks away, at a speed of 3 blocks per minute. Then he stopped and went into the store for 7 minutes. From there, he drove in the same direction at a speed of 2 blocks per minute until he got to the bank, which is 4 blocks away from the store. He stopped at the bank for 5 minutes. Then he drove home at a speed of 5 blocks every minute. Make a graph of showing the number of blocks away from home that Landon is xx minutes after he leaves his house, until he gets back home.
Answer:
Step-by-step explanation:
The route Landon took starting at time t = 0 is
Home ⇒ Store ⇒ Bank ⇒ Home
Let's compute cumulative distances(in terms of blocks) and cumulative time using Landon's speed and stay at various places in order to plot a graph. (Note: cumulative means total so far; we add current value to previous total)
The graph will have cumulative time t (in minutes) on the X-axis and cumulative distance d (in terms of blocks) on the Y-axis. We will indicate Landon's position at any time with the coordinates (t, d)
At time t=0 Landon is at home so d = 0The data manager for a state political party gathered data to determine how many citizens would support the party's senate candidate. He polled citizens in 30 similarly sized senate districts and found a sample mean of 70,438 citizens. Statewide data shows that the population standard deviation is 645.3. What is the approximate 90% confidence interval for this situation?
Answer:
The approximate 90% confidence interval is;
70,244 to 70,732
Step-by-step explanation:
Here, we want to calculate the approximate 90% C.I for the situation
Mathematically;
CI = mean ± (z * SD)/√n
From the question;
mean = 70,438
SD = 645.3
n = 30
we can get z from the CI table
90% CI is same as; 1.645 z-score
So , substituting these values;
CI = 70,438 ± ( 1.645 * 645.3)/√30
CI = 70,438 ± 194
So the CI = 70,438 -194 to 70,438 + 194
= 70,244 to 70,732
Answer:
B. 70,244 and 70,632
Please give me brainliest, I really need it.
QUIC what is the LCM of 6 and 8
Answer:
24
Step-by-step explanation:
whos a bad boy today
Answer:
lllllllllllllllllllololollllll
Write log7t using the natural logarithm.
Answer:
log₇t = ln t / ln 7
Step-by-step explanation:
Given:
log₇t
Computation:
We know that
logₐb = log b / log a
So,
log₇t = log t / log 7
= log₇t = ln t / ln 7
The price of a sofa was £880. It was reduced in a sale by 35%. What is the cost of the sofa in the sale?
Answer: 308
Step-by-step explanation:
SOLUTION STEPS
880×35%
Reduce the fraction
[tex]\frac{35}{100}[/tex]
to lowest terms by extracting and canceling out 5.
[tex]880*(\frac{7}{20} )[/tex]
Express [tex]880*(\frac{7}{20} )[/tex]
as a single fraction.
[tex]\frac{880*7}{20}[/tex]
Multiply 880 and 7 to get 6160.
[tex]\frac{6160}{20}[/tex]
Divide 6160 by 20 to get 308.
308
Amber and Jesse are each given a clue about a mystery number. Amber's clue says the sum of half a number and eighteen. Jesse's clue says the difference of eleven minus three times a number. If Amber and Jesse have the same mystery number, what is the mystery number? **Write the equation and solve for the variable.
Answer:
1/2x + 18 = 11 - 3x
Step-by-step explanation:
x = -2
(b) Suppose the actual number of pizzas sold today was 65. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth Show your work
Answer:
65 + 0.20(65) = 65 + 13 = 78..they would have to sell 78 to get the bonus
Step-by-step explanation:
(65 - 60) / 65 = 5/65 = 0.0769 x 100 = 7.69 rounds to 7.7 % decrease compared to the 65 pizza's sold yesterday
Sophie signed up for a streaming music service that costs $6 per month. The service allows Sophie to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $0.75 per song. How much total money would Sophie have to pay in a month in which she downloaded 45 songs? How much would she have to pay if she downloaded ss songs?
Answer:
202.5
Step-by-step explanation:
45x0.75=33.75
then do 6x33.75=202.5
Describe the transformations:
LaTeX: g(x) = f(x +5) + 6g ( x ) = f ( x + 5 ) + 6
Choose all that apply
which statements describe transformations performed in f (x) = x^2 to create g (x) = 2x^2 + 5? select all that apply.
a. a vertical stretch with a scale factor of .5
b. a translation of 5 units to the right.
c. a translation of 5 units up.
d. a vertical stretch with a scale factor of 2.
Answer:
The statements describe transformations performed in f(x) to create g(x) are:
a translation of 5 units up ⇒ c
a vertical stretch with a scale factor of 2 ⇒ d
Step-by-step explanation:
If f(x) stretched vertically by a scale factor m, then its image g(x) = m·f(x)If f(x) translated vertically k units, then its image h(x) = f(x) + kLet us use these rule to solve the question
∵ f(x) = x²
∵ g(x) is created from f(x) by some transformation
∵ g(x) = 2x² + 5
→ Substitute x² by f(x) in g(x)
∴ g(x) = 2f(x) + 5
→ Compare it with the rules above
∴ m = 2 and k = 5
→ That means f(x) is stretched vertically and translated up
∴ f(x) is stretched vertically by scal factor 2
∴ f(x) is translated 5 uints up
The statements describe transformations performed in f(x) to create g(x) are:
a translation of 5 units upa vertical stretch with a scale factor of 2A student's grade in a Psychology course is comprised of tests (40%), quizzes
(20%), papers (20%), and a final project (20%). His scores for each of the
categories are 85 (tests), 100 (quizzes), 92 (papers) and 84 (final project).
Calculate his overall grade.
Can someone please help me
-5x + y = -2
- 3x + 6y = -12
Answer:
1st equation: -5x+y=-2
y= -2+5x
2nd equation: -3x+6y= -12
-3x+6(-2+5x)= -12
-3x-12+30x= -12
-3x+30x=0
27x=0
x=0
Help ill give brainlist
sin(73) = cos (x) pls help lol
Mrs. Winship sells chocolate
fudge for $7.50 per pound and peanut butter fudge for $7.00 per pound. The total number of pounds sold on Saturday was 146 and the total amount of money collected was $1065. How many pounds of each type of fudge were sold?
Answer:
cf chocolate fudge
pbf peanut butter fudge
A) 7.50 cf + 7.00 pbf = $1,065
B) cf + pbf = 146
Multiplying equation B) by -7.50
B) -7.50cf -7.50pbf = -1,095 then adding equation A)
A) 7.50 cf + 7.00 pbf = $1,065
-.50pbf = -30
pbf = 60 pounds of Peanut butter fudge
cf = 146 -pbf = 86 pounds of peanut butter fudge
Double Check
86 + 60 = 146
7.50 * 86 + 7.00 * 60 = 1,065.00
Correct!!!
Step-by-step explanation:
Solve the equation. Explain or show your reasoning.
1/2 x -7 = 1/3 (x-12)
Answer:
x = 18
Step-by-step explanation:
1: 1/2x - 7 = 1/3x - 4
2: 3/6x - 7 = 2/6x - 4
3: 3/6x = 2/6x + 3
4: 1/6x = 3
5: x = 18
Elliot ate 3/8 of a pizza that was cut into 8 slices. How much is left?
Answer:
5/8
Step-by-step explanation:
Answer:
Convert to a decimal by dividing the numerator by the denominator.
0.046875. Then, change the decimal into a fraction which is 3/64ths
9. What is the Greatest Common Factor (GCF) of 9 and 12? *
108
о
O 36
o
9
3
Answer:
3
Step-by-step explanation:
We found the factors and prime factorization of 9 and 12. The biggest common factor number is the GCF number. So the greatest common factor 9 and 12 is 3.
Hope this helps!
soo like anybody up still?
orrrr..
Answer:
yes we chilling hbu gee
Answer:
hello
I am Shashwat
thanks for free point
Ella had 36 coins in her collection. Justin had 4 times as many coins as Ella
had. Which equation can be used to determine the number of coins Justin
Had? (2 pts)
Answer:
A. 36 x 4 = ?
Answer:
a. 36 x 4
Step-by-step explanation:
If Justin has 4 times as many coins as Ella, who has 36 coins, he would have 144 coins.
Therefore, 36 x 4 = 144
Last year, half the graduates from Harold's Clown College became circus clowns. Another 60 graduates became rodeo clowns. The rest of the graduates became mimes. Harold's Clown College has 200 graduates last year. What percentage were mimes?Immersive Reader (3 Points) 20% 40% 60% 100%
Answer:
20 percent
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
since 100% is a 200, half of them were circus clowns 200/2 = 100
so 100 persons are 50%
from these 100, only 60 graduated as rodeo clowns and 40 as memes
1 percent of 200 is 2, so 40/2=20%
9 pounds of kitty litter cost $8.64. What is the price per ounce?
Answer:
the litter costs $0.06 per ounce, since there is 16 ounces in a pound and 9 pounds meaning g there is 144 ounces 8.64 ÷ 144
3. Which of the following are equivalent to the ratio 2:3? (select all that apply)
a. 3:4.5
b. 6.5:9.75
C. ½ : ½
d. ¾:1
e. 10:12