Answer:
a) 95 miles
b) Chester
c) 194 miles
Step-by-step explanation:
Chart Reading
From the chart, we can know the relative distances from each place as follows:
a) From Hereford to Chester there are 95 miles
b) Kendal is 99 miles from Chester
c) If Ellen drives from Kendal to Hereford, passing by Chester, she will drive 99+95=194 miles
Note this last result is different from the direct distance from Kendal to Chester since the 201 miles are not specified if they are through Chester or not.
10. A certain strain of bacteria occurs in all raw milk. Tests of uncontaminated raw milk conducted by the Health Department found that the bacteria count per milliliter is normally distributed with a mean of 3500 and standard deviation of 300. a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk? b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400? c) For this normal distribution, what is the percentage of the area under the normal curve for a bacteria count per milliliter less than zero? As bacteria count cannot be less than 0, is this small enough to disregard when claiming that the bacteria count per milliliter is normally distributed? Explain your answer.
Answer:
a) 0.21078
b) 21.078%
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean of 3500 and standard deviation of 300.
a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk?
For x = 3200
z = 3200 - 3500/300
z = -1
Probability value from Z-Table:
P(x = 3200) = 0.15866
For x = 3400
z = 3400 - 3500/300
z = -0.33333
Probability value from Z-Table:
P(x = 3400) = 0.36944
The probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk
P(x = 3400) - P(x = 3200)
= 0.36944 - 0.15866
= 0.21078
b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400?
We convert the answer in part a) to percentage
= 0.21078 × 100
= 21.078%
7x + 14.7x^2 + 22
Standard form
Answer:
$7x+14.7x^2+22$
Step-by-step explanation:
Steps
$7x+14.7x^2+22$
The diagram shows a triangle.
4s+9°
3s+1°
6s+1°
What is the value of s?
the number that s is has to equal to 180 once worked out
Answer:
s=13
Step-by-step explanation:
[tex]As\ we\ know\ that,\\"The \ sum\ of\ all\ angles\ of\ a\ triangle\ is\ 180"\\Hence,\\(4s+9)+(3s+1)+(6s+1)=180\\4s+3s+6s+9+1+1=180\\13s+11=180\\13s=180-11\\13s=169\\s=13[/tex]
What is the formula of area of a quadrant?
Answer:
that is, pi (π) multiplied by the radius squared (r2). Now, to calculate the area of a quadrant, divide the area of a circle by 4 (as four quadrants make a circle). We get, Area of a quadrant, A= (πr2)/4 Square units.
Which is the best description for the graph below?
Answer:
The graph decreases everywhere.
Step-by-step explanation:
you use the bottom line first, so start from the bottom and go up to the 3. it's opposite to trick you. think of it as a 9 going to a 3.
Find one root of the following equation x2 + 8x - 9 = 0
Answer: was just for a challenge
Step-by-step explanation:
no
Step-by-step explanation:
[tex]x {}^{2} + 8x - 9 = 0 \\ {x}^{2} - x + 9x - 9 = 0 \\ x(x - 1) + 9(x - 1) = 0 \\ (x + 9)(x - 1) = 0 \\ x = 1 \: and \: \: \: \: - 9[/tex]
Luis
Ana
Javier
Precio ($)
100
140
80
Sarape
10
90
50
Aretes
4
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
6
Blusa
00
Precio rebajado ($)
45
63
Answer:
Espero y esto te ayude :) si me falto algo lo siento.
Step-by-step explanation:
Si se oferta un producto al 10% de descuento, esto significa que el precio final del producto será 90% del precio original. Para hallar estos datos, debemos usar una regla de tres, de la siguiente forma:
100% 90%
-------------------- → ---------------------------
Precio Original Precio con Descuento?
SARAPES
- Ana: descuento (14), precio rebajado 126
Precio rebajado = 140.90 / 100 = 126
Descuento: 140 - 126 = 14
- Javier: descuento (8), precio rebajado 72
Precio rebajado = 80.90 / 100 = 72
Descuento: 80 - 72 = 8
ARETES
- Luis: descuento (5), precio rebajado 72
Precio rebajado = 50.90 / 100 = 45
Descuento: 50 - 45 = 5
- Ana: Precio original (60) , descuento (6), precio rebajado 54
Precio original: X.0,10 = 6
X = 60
Precio rebajado: 60 - 6 = 54
- Javier: Precio original (40) , descuento (4), precio rebajado 36
Precio original: X.0,10 = 4
X = 40
Precio rebajado: 40 - 4 = 36
Write an equation of the line passing through the point (2,8) that is perpendicular to the line 2x-3y=7
Answer:
y = (-3/2x) + (35/4)
Step-by-step explanation:
So the perpendicular line will have a slope that is the opposite reciprocal of the other line's slope. Solve for the original line's slope first:
2x - 3y = 7 --> -3y = -2x + 7 --> y = (2x/3) - (7/3)
So, the slope of the perpendicular line will be (-3/2x)
Solve for the y-intercept of the perpendicular like by using the linear equation and substituting in (2,8):
8 = (-3/(2*2)) + b --> (32/4) = -(3/4) + b --> b = (35/4)
So, y = (-3/2x) + (35/4)
Hope that helps! :D
9 t-shirts and a hat costs £93.00
4 t-shirts and a hat costs £43.00.
How much does a t-shirt cost?
How much does a hat cost?
Answer:
A t-shirt costs 10.00 pounds and a hat costs 3.00 pounds.
Step-by-step explanation:
x is a t-shirt
y is a hat
9x + y = 93.00
4x + y = 43.00
(9x + y) - (4x + y) = 93.00 - 43.00
9x + y - 4x - y = 50.00
5x = 50.00
x = 50.00/5
x = 10.00 [a t-shirt costs 10.00]
4x + y = 43.00
4×10.00 + y = 43.00
40.00 + y = 43.00
y = 43.00 - 40.00
y = 3.00 [a hat costs 3.00]
Kurt says that if he starts with the number n, multiplies it by the next whole number and then adds 3 he will get 45. N(n+1)+3=45 what number makes kurts equation true?
Answer:
6
Step-by-step explanation:
we start with:
n(n + 1) + 3 = 45
n² + 1n = 42
n² + 1n - 42 = 0
n can be either 6 or -7
(n - 6)(n + 7)
since we cannot have negative numbers, the answer should be 6, but we can verify which number fits our equation:
n = 7 ⇒ n(n + 1) + 3 = 45
7(7 + 1) + 3 = 59 WRONG
n = 6 ⇒ n(n + 1) + 3 = 45
6(6 + 1) + 3 = 45 ✓ CORRECT
Answer:
6
Step-by-step explanation:
A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet):
if the bank charges 5.3% interest each year?
Answer:
the balance of the loan be after one year is $7897.5.
Step-by-step explanation:
A ticket for the spring musical is $4.50. Which table show the relationship between the number of tickets purchased and the total price paid?
Answer:
mwe.n pa konen men tenyen ooooo
Hey I need help in math (I’m not good at it lol)
Answer: It's B.
Step-by-step explanation:
Hope it Helps let me know if u want me to explain how i got the answer.
Help me please
Make x the subject of the formula
X – 7r = bc
Answer:
x = bc + 7r
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define equation
x - 7r = bc
Step 2: Solve for x
Add 7r to both sides: x = bc + 7rWill give brainliest.
Which equation can you use to solve the following problem?
A group of 168 students is on a field trip. They are doing a ropes course at a local camp.
If 8 students can start the ropes course together at one time, how many groups will the students form to go through the course?
Answer:
21
Step-by-step explanation:
168 divided by 8
is this correct? ILL MARK YOU BRAINIEST
Answer:
yes
Step-by-step explanation:
This is correct.
Since every operation in this is multiplication, you can remove the parentheses. This is the associative property of multiplication. Now you can group the exponents and the normal factors together.
[tex](1.5*2.0)*(10^{0} *10^{-5})[/tex]
[tex]3.0*10^{-5}[/tex]
So the answer you put is correct. But, if your test is online and has a dumb grading system (like edulastic) I suggest you put 3.0 instead of 3.
A picture 10 inches tall and 14 inches wide is to be scaled to 1.5 inches tall to be displayed on a webpage. How wide should the picture be on the webpage for the two pictures to be similar?
Answer:
1.8
Step-by-step explanation:
I need help for algebra 1, solve for the variable
2x-y=y
(solving for x)
Answer:
x = y
Step-by-step explanation:
Given
2x - y = y ( add y to both sides )
2x = 2y ( divide both sides by 2 )
x = y
Please help:) Due soon!:)
Is it:
A: y-4= -2/3(x+3)
B: y-2= -2/3(x-6)
C: y+4= 2/3(x-3)
D: y+6= 2/3(x-2)
Write the equation of the line that goes through (-2, 0) and (4,3).
A.) y=-1/2x
B.) y=1/2x+1
C.) y=2x+1
D.) y=x+1/2
Answer:
B
Step-by-step explanation:
I just put in in the desmos graphing calculator
a line passes through the points 1 , -6 and 4,3 what is the Y intercept of this line
Answer:
y-intercept = -13
Step-by-step explanation:
So you have to put it in slope-intercept form to solve.
slope is 4 so you plug in the one of the coordinate points in for x and y in the equation to find b.
please help. i would rly appreciate it. :/
Select the section(s) of the graph where the function is decreasing.
1. blue line
2. red line
3. curved blue line
4. green line
can be more than one
The graph where the function is decreasing is represented by, the blue line, red line and the green line.
What is decreasing function?"If the value of the function f(x) is decreasing on increasing the value of x, then the function is called as decreasing function."
For given situation,
we have been given a piecewise function and its graph.
From the graph of a function,
we can observe that the function f(x) is decreasing for x < -3 , -3 ≤ x ≤ 0, and x > 0
This is represented by, the blue line, red line and the green line
Therefore, the correct options are 1, 2, 4.
Learn more about decreasing function here:
https://brainly.com/question/13391696
#SPJ2
what is the perimeter of this figure? (3.14 for pi)**round ur answer to the nearest whole number
nearest is 3.2 that is with whole bumber
Constant of proportionality characteristics what are some?
Answer: The constant of proportionality is the ratio between two directly proportional quantities.
Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
Will give brainliest if correct.
The sencond one is D.
The first one is probable A hope i'm right on this on.
Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did Jack make in total in commission during all four weeks?
Week
Sales
1
$3,000
2
$2,500
3
$3,500
4
$4,000
$200.00
$260.00
$2,000.00
$2,600.00
Answer:
The answer is D
Step-by-step explanation:
Answer:
D.) $2,600.00
Step-by-step explanation:
The cost of a pencil box is $2.50. The function f(x) = 2.5x gives the cost of x pencil boxes. Identify the domain, range, and graph of this function.
Answer: hey want to talk
Step-by-step explanation:
Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey's error when simplifying? Expression Simplified Expression 2 x squared minus 4 x minus 9 minus x squared + 2 x + 3 x squared minus 6 x minus 6 Mickey should have added –4 and 2 when combining the coefficients of the x terms. Mickey should have added 2 and 1 when combining the x squared terms. Mickey should have added 9 and 3 when combining the constant terms. Mickey should have added –4 and –1 when combining the x terms. Mark this and return
Full question attached:
Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey’s error when simplifying?
Expression: 2x^2 - 4x - 9 - x^2 + 2x + 3
Simplified expression: x^2 - 6x - 6
ANSWER CHOICES:
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Mickey should have added 2 and 1 when combining the x^2 terms.
Mickey should have added 9 and 3 when combining the constant terms.
Mickey should have added –4 and –1 when combining the x terms.
Answer
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Explanation:
To simplify an expression means to group and organize the expression in a such a way that it becomes more understandable, and can now easily be solved
Given the expression 2x² - 4x - 9 - x² + 2x + 3 to simplify
We first group and find like terms and then add and cancel out
2x²-x²- 4x+2x - 9+ 3
=x²-2x-6
Mickey did not add the coefficients -4 and +2 for x terms in the expression, instead it looked like he added 4+2 as the coefficients
Therefore the correct option is
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Answer:
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Step-by-step explanation: