Answer:
2.25
Step-by-step explanation:
let x be cost of a hotdog
let y be cost of hamburger
so,
5x + 4y = 17.75 eq. 1
4x + 5y = 18.25 eq. 2
manipulate eq. 1 so solve for x:
5x = 17.75 - 4y
x = 17.75/5 - (4/5)y
x = 3.55 - (4/5)y eq. 3
substitute eq. 3 to eq. 2:
4(3.55 - (4/5)y) + 5y = 18.25
14.2 - (16/5)y + 5y = 18.25
14.2 + (9/5)y = 18.25
(9/5)y = 18.25 - 14.2
4.05= (9/5)y
y = 2.25
x = 3.55 - (4/5)(2.25)
x = 1.75
hotdog costs $1.75
hamburger costs $2.25
The authors of a certain paper describe a study to evaluate the effect of mobile phone use by taxi drivers in Greece. Fifty taxi drivers drove in a driving simulator where they were following a lead car. The drivers were asked to carry on a conversation on a mobile phone while driving, and the following distance (the distance between the taxi and the lead car) was recorded. The sample mean following distance was 3.80 meters and the sample standard deviation was 1.19 meters.
Construct a 95% confidence interval (in meters) for μ, the population mean following distance while talking on a mobile phone for the population of taxi drivers. (Round your answers to three decimal places.)
Answer:
The 95% confidence interval is [tex] 3.462 < \mu < 4.138 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The sample mean is [tex]\= x = 3.80[/tex]
The standard deviation is [tex]\sigma = 1.19[/tex]
Given that the confidence level is 95% then the level of confidence is mathematically represented as
[tex]\alpha = (100 - 95)\%[/tex]
=> [tex]\alpha = 0.05 [/tex]
Generally from the t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 50 -1 = 49[/tex] is
[tex]t_{\frac{\alpha }{2} ,49 } = 2.0096[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E =2.0096 * \frac{1.19}{\sqrt{ 50} }[/tex]
=> [tex]E = 0.3381 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
[tex] 3.80 -0.3381 < \mu < 3.80 +0.3381[/tex]
=> [tex] 3.462< \mu < 4.138 [/tex]
Help!!! Write the equation of the parabola in vertex from
Answer:
[tex]y=-\,(x+1)^2+3[/tex]
Step-by-step explanation:
Notice that the vertex of the parabola is at (-1, 3), so we can start the expression of the quadratic in vertex form as:
[tex]y=a\,(x--1)^2+3\\y = a\,(x+1)^2+3[/tex]
we can now find the coefficient "a" by using another point the parabola goes through, like for example (0,2):
[tex]y = a\,(x+1)^2+3\\2=a\,(0+1)^2+3\\2=a+3\\a=2-3\\a=-1[/tex]
So the final expression for the parabola in vertex form is:
[tex]y=-\,(x+1)^2+3[/tex]
In the population served by the New York Blood Center, 45% have blood type O. Consider the next 15 blood donations to the center from unrelated individuals. (a) What is the probability that exactly three have blood type O? (Enter your answer rounded to four decimal places.)
Answer:
0.03177
Step-by-step explanation:
Prob (Bld grp) ~ Bin (N, P)
N = 15, P = Prob of success ie 'O' blood type = 0.45
P (BG = 0) for 3 people = (N c X) P^X . (1-P)^N-X
As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12
= 455 (0.091125) (0.0007662)
= 0.03177
a. The probability that exactly three have blood type O is 0.03177
Calculation of the probability:Since
Prob (Bld grp) ~ Bin (N, P)
So
N = 15,
P = Prob of success ie 'O' blood type = 0.45
Now
P (BG = 0) for 3 people = (N c X) P^X . (1-P)^N-X
So,
As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12
= 455 (0.091125) (0.0007662)
= 0.03177
hence, The probability that exactly three have blood type O is 0.03177
Learn more about probability here: https://brainly.com/question/21102470
How do you determine the absolute maximum and minimum values of a continuous function on a closed interval?
Answer:
Steps are detailed below.
Step-by-step explanation:
The steps to determine the absolute maximum and minimum values of a continuous function on a closed interval are;
For example, if we have a function f(x) = x³ - 3x + 2 on the interval (-3, 4)
The steps are;
Step 1:
We will find the first derivative of f(x) which is; f'(x) = 3x² - 3.
Then we will find the critical values of this derivative. The critical values are the values of x that makes f'(x) = 0. But these critical values must fall in between the given interval (-3, 4)
Step 2:
Plug in the critical values gotten in step 1 above into the original f(x) function and note down the answers.
Step 3;
Plug in the endpoint values on the interval (-3, 4) given in the question into the original f(x) function and note down the answers.
Step 4;
The highest and lowest values of f(x) gotten in steps 2 & 3 are the absolute maximum and absolute minimum values respectively of the continuous function f(x).
The sum of two numbers is 49 and the difference between these two numbers is 9.
What are these two numbers?
Answer:
the answer is 39 and 14.
The solution is, the numbers are 20 and 29.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Here, we have,
given that,
The sum of two numbers is 49
and the difference between these two numbers is 9.
let, the numbers are x & y
so, we get,
according to question:
x+y = 49 ...1
x-y = 9 ....2
so, simplifying we get,
2x = 58
or, x = 29
so, we get,
y = 20
Hence, The solution is, the numbers are 20 and 29.
To learn more on subtraction click:
brainly.com/question/2346316
#SPJ2
x+ y2 + 16x– 14y + 49 = 0
What is the center of this circle ?
What is the radius of this circle ?
Answer: center: (-8,7)
radius: 8
Step-by-step explanation:
Brandon enters bike race. He bikes 9 1/2 miles every 1/2 hour
Find the slope of the line y=-3x+3
Answer:
Step-by-step explanation:
M = -3
y= mx +b
m stands for slope and -3 is in that position so -3 is your slope
Answer:
⇝ Slope = -3Step-by-step explanation:
The question is asking us to find the slope of the line y = -3x + 3.
Note that the equation is written in slope-intercept form:
y = mx + b
Where:
m = slope (coefficient of x)b = y-intercept (constant)For this problem the coefficient of x is -3, and the constant is 3.
Therefore, the slope is -3.
pair of angles is an example of supplementary angles will mark brainest
Answer:
Angle 1 and Angle 7
Step-by-step explanation:
Angle 1 and angle 7 are supplementary angles. Angle 3 and angle 7 are corresponding angles and angle 1 + angle 3 = 180
Answer:
Angle 1 and angle 7Step-by-step explanation:
supplementary angles adds up to 180
angle 1 and angle 7 is an example of supplementary angles.
other options do not apply.
Divison i need help with that
Answer:
K What's the problem?
Step-by-step explanation:
PLEASE HELP :’( last one
Answer:
A.3
Step-by-step explanation:
Question 3 of 12
A jeweler needs exactly 19,000 beads to make jewelry.
He buys 48 boxes of beads. Each box has 400 beads.
He completes the calculations below and concludes that he has bought enough boxes of beads to make all of the jewelry.
48
×
400
=
(
40
×
400
)
+
(
8
×
400
)
=
16
,
000
+
3
,
200
=
19
,
200
Which explains what the jeweler does to support his conclusion
Answer:
See explanation
Step-by-step explanation:
Given
[tex]Needed = 19000[/tex]
Required
Support the jeweler's conclusion
From the question, we have that:
[tex]Boxes = 48[/tex]
[tex]Bead = 400[/tex] per box
So, he bought a total of:
[tex]Total = 48 * 400[/tex]
[tex]Total = 19200[/tex]
Since, he needed exactly 19000 and he has 192000, we can conclude that he has enough beads
2 divided by 7/6 in simplest form
The density of oxygen is 1.429*10^-3 grams per cubic centimeter. How is this number written in standard form
Answer:
The density of oxygen in standard form is 0.001429 grams per cubic centimeter.
Simplify powers of i.
ASSIGNMENT
Simplify each of the following powers of i.
I^32
Answer:
i^15=-i
i^32=1
1^99=-i
i^22=-1
hope this helps :)
im sorry for the late answer, i put all the answers incase some one needs them, have a nice day!
Step-by-step explanation:
Answer: The answer is "1".
Step-by-step explanation:
Correct on edgen.
17-6r=25-3r answer it please
Answer: r = - 8/3
Step-by-step explanation: im pretty sure thats the write answer
In a 30-60-90 triangle, the length of the hypotenuse is 17. Find the length of the side opposite the 30 degree angle.
Step-by-step explanation:
we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem
the length of the side opposite the 30 angle is 17/2
talking about exercise on the photo the answer is
8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.
Now lets use pythagorean theorem
x^2+y^2=z^2
z is hypotenuse
8^2+y^2=16^2
64+y^2=256
y^2=256-64
y^2=192
y=8√3
I need help please
Range is y so we set -5x = whatever number you pick from the range values listed, so
-5x = -5 making x=1
-5x = 0 making x=0
-5x = 10 making x=-2
-5x = 15 making x=-3
The domain is {1,0,-2,-3}
how do i find the values for mean and standard deviation
Answer:
1/ Mean: find the average of the numbers by add up all the numbers then divide by how many numbers there are.
2/ Standard Deviation: First, for each number: subtract the Mean and square the result. Then work out the mean of those squared differences. Take the square root of that and we are done!
Can someone help ME PLEASE?!!! will mark brainliest, a friend request, and will rate ur answer
Can someone write these down on a piece of paper?
THX A LOT FOR WHO EVER HELPS ME!!! :)
Step-by-step explanation:
hopes this help
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If f(x) and its inverse function, f'(x), are both plotted on the same coordinate plane, what is their point of
intersection?
Answer:
The plot coordinates are (3,3).
Step-by-step explanation:
Given:
A function f(x) and its inverse is f-1(x)
To find :
The plot of the coordinates for the intersection.
Solution:
Now we know that inverse function is changing the y=f(x) and then
changing to x to y and y to x
So given function is f(x)
Inverse function is y,
But value of inverse function is f-1(x)
So y=f(x)=f-1(x)
Therefore it becomes
y=x
Hence the value is y=x coordinates
can someone tell me what my GPA is.
Answer:
probably 5.00
Step-by-step explanation:
Which point best represents v10 ?
That would be Q my dude.
Hope this helps
2. Choose all numbers that are RATIONAL. *
1. 0
2. 5/7
3. 3.6820350285........
4. -10
Answer:
0, 5/7, and -10 are RATIONAL numbers ⇒ 1, 2, 4
Step-by-step explanation:
Rational number are the numbers can be written in the form of the fraction [tex]\frac{a}{b}[/tex] , b ≠ 0
Example:
5, -3, 5.2 , -10.567, [tex]2\frac{1}{3}[/tex] , [tex]\sqrt{64}[/tex] , [tex]-\sqrt{\frac{25}{4}}[/tex] , [tex]\frac{\sqrt[3]{8}}{5}[/tex] , .......5 can be written as [tex]\frac{5}{1}[/tex]-3 can be written as [tex]-\frac{3}{1}[/tex]5.2 can be written as [tex]\frac{52}{10}[/tex]-10.567 can be written as [tex]-\frac{10567}{1000}[/tex][tex]2\frac{1}{3}[/tex] can be written as [tex]\frac{7}{3}[/tex][tex]\sqrt{64}[/tex] can be written as [tex]\frac{8}{1}[/tex][tex]-\sqrt{\frac{25}{4}}[/tex] can be written as [tex]-\frac{5}{2}[/tex] [tex]\frac{\sqrt[3]{8}}{5}[/tex] can be written as [tex]\frac{2}{5}[/tex]All the numbers above are rational numbers
Let us find the rational numbers in our question
∵ 0 can be written as [tex]\frac{0}{1}[/tex]
∴ 0 is a rational number
∵ [tex]\frac{5}{7}[/tex] is a fraction
∴ [tex]\frac{5}{7}[/tex] is a rational number
∵ 3.6820350285........ can not be written in the form of the fraction
because we do not know its end (it is an approximated number)
∴ 3.6820350285........ is not a rational number
∵ -10 can be written as [tex]-\frac{10}{1}[/tex]
∴ -10 is a rational number
∴ 0, 5/7, and -10 are RATIONAL numbers
Write the slope-intercept form of the equation for
each graph described.
Line passing through (-2,-8) and (9,-8)
Answer:
y=-8
Step-by-step explanation:
First find the slope which is rise over run which equals (y2-y1)/(x2-x1)
(-8-(-8))/(9-(-2))
(-8+8)/(9+2)
0/11
slope = 0
Now you have the slope of 0. You can plug in one of the given point (x,y) to find b
-8=0(9)+b
-8=b
Combine everything
y=0x-8
y=-8
in need help quick and can you also explain how you did or what I'm supposed to be doing
Answer:
heres a helpful stragity for your pos and neg numbers
- -
+ it's aupposed to be like a smiley face so lets say you had to solve -7+3 then you'd cover up the negitive and positive sign, so the answer would be a negitive number. It's a little stategy. And you should answer the question in the brackets then that answer times whatever you got.
Please Help Me With This Math ;(
Samia buys 15 1/2 yards of fabric to make shirts for his friends he needs 2 5/6 yards of fabric to make each shirt how many shirts can Sammy make
Answer: He can make 5 shirts
Step-by-step explanation:
15 1/2 ÷ 2 5/6 = 5 8/17
Which correctly solves the equation ab+c=d solve for b.
Answer:
b=(d-c)/a
Step-by-step explanation:
Just gotta switch them around a bit
Original price of oil change is 38.95 discount is 32%
Answer:
If the discount is 32%, the new price would be $26.486
Step-by-step explanation:
To get the answer, you would need to multiply 38.95 * .32 which would equal 12.464.
12.464 is the 32% discount
38.95 - 12.464 = 26.486
Hope this helps and pls do mark me brainliest if you can:)