Answer:
$5.37
...............
A recipe for chocolate chip cookies with toffee bits and walnuts serves 8 people and needs 3 cups of flour. If Zachary wants to make the recipe for 14 people, how many cups of flour should he use?
I will mark you as the brainliest IF answered correctly.
Answer:
Im pretty sure it's 5.25 cups of flour
Step-by-step explanation:
so we know that it takes 3 cups for 8 people and we don't know the amount for 14 people so write it as a fraction and cross multipy
For the equation
8/3=14/x
The cross product is
8*x=3*14
Solving for x
x=3×14/8
and reducing
x=5.25
The health center of a small, private university requires students to have appointments for visits. Each appointment takes an average of minutes with a standard deviation of minutes. The health center makes appointments each day and is scheduled to be open for hours. What is the probability that the total time spent for students who have appointments for tomorrow will exceed hours? (Hint: hours minutes.) Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Some data in the question are missing. The complete question is :
The health center of a small, private university requires students to have appointments for visits. Each appointment takes an average of 5.6 minutes with a standard deviation of 3.5 minutes. The health center makes 100 appointments each day and is scheduled to be open for 10 hours. What is the probability that the total time spent for 100 students who have appointments for tomorrow will exceed 10 hours? (Hint: 10 hours=600 minutes.) Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Solution :
Let the time spent by [tex]$i^{th} $[/tex] students for the appointment be = [tex]$X_i$[/tex]
∴ E([tex]$X_i$[/tex]) = 5.6
V([tex]$X_i$[/tex]) = [tex]$3.5^2$[/tex]
n = 100
The required probability
[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]
Now, [tex]$E\left( \sum_{i=1} ^{100} X_i \right) = 100 \times E (X_i) $[/tex]
= 100 x 5.6
= 560
[tex]$V\left( \sum_{i=1} ^{100} X_i \right) = (100)^2 \times (3.5)^2 $[/tex]
Standard deviation = 3.5 x 100
= 35
[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]
[tex]$\Rightarrow P\left( \frac{\sum_{i=1}^{100} X_i -560} {35} \leq \frac{600-560}{35}\right)$[/tex]
[tex]$= \phi (1.14286)$[/tex]
= 0.8735
= 0.874 (round to 3 decimal places)
Write your own situation about the inequality below. 10 x + 20 ≤ 150
Answer:
k
Step-by-step explanation:
10)×20+21-150
you will end up getting your answers
I want you to just do the easy bit
the calculations if that's alright
I GIVE BRAINLILSTE
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
Answer:
A
Step-by-step explanation:
He increased by 10% because of 80% to 90% is 10%
So, the Answer is A
Answer:
12.5%
Step-by-step explanation:
The question is asking for the percent increase of 80%. So how much of 80% was the new percentage (90%) increased by.
First, find the difference 90-80=10
Then find the percent of 80 that the difference is.
10/80=0.125
0.125 in a percent form is 12.5%
So, there was a 12.5% increase.
Alberto received an inheritance of $10,000 that he decided to put into a savings account and collect the interest. He has a choice of investing in one of two plans. The Gold savings account will allow him to invest his inheritance at 3% simple interest for 4 years. The Student savings account will allow him to invest his inheritance at 2.75% simple interest for 4 years. As part of a limited time promotion, the bank will give Alberto $1000 to be added to his principal if he opens a Student savings account. which plan will earn Alberto the most money after 4 years.
Answer:
tthw student saavings account
Step-by-step explanation:
What system of equations is shown on the graph below?
On a coordinate plane, 2 lines intersect around (1.8, negative 0.8).
2 x + y = 3 and 3 x minus 4 y = 8
2 x minus y = 3 and 3 x + 4 y = 8
2 x + y = 3 and 3 x minus 4 y = 2
2 x minus y = 3 and 3 x minus 4 y = negative 2
Answer:
i thnk it is c correct me if i am rong
Step-by-step explanation:
Answer:
(C) I got it right
Step-by-step explanation:
on edge
find the domain of the graphed function
Answer:
Domain= [0, 13]
Step-by-step explanation:
Domain refers to the possible input values on the x-axis.
Determine which regions contain cube roots of −1. Check all that apply.
Answer:
its A, C, and F
Step-by-step explanation:
Answer:
A, C, F
Step-by-step explanation:
Show your work and explain how you can determine which is a better deal:
10 ounces of orange juice for $2.40 or 8 ounces for $2.08?
Answer: 10 ounces for $2.40
Step-by-step explanation: The trick behind these problems, always divide. 2.40/10ounces is $0.24. 2.08/8ounces is $0.26. Better deal, therefore smaller answer of the 2, because it's cheaper.
Which function is graphed?
Answer:
Option A
Step-by-step explanation:
The given piecewise function shows that there is a jump discontinuity at x=1 in the first part of the piecewise function. Hence, this means that for the first part of the piecewise function, x=1 isn't included, but in the second part of the piecewise function, it is.
We can therefore eliminate C and D.
Looking at the first part of the piecewise function, we can see as x grows smaller, y grows larger. Therefore, A is the more preferred answer because the domain x<1 is valid.
Find the value of x. Give reasons to justify your answer.
How you express the average of five quizzes is 85 in mathematical expression
what is the estimate of 210 x 733
Answer:
153,930 that is the answer hope it is right
Answer:
about 1,400
Step-by-step explanation:
its about 1,400 because you would round 210 to 200, and 733 to 700.
please give brainliest :))
which of the following scenarios could be modeled by the expression 3/2 divided by 1/4
Answer:
I believe C.
Explanation:
I am pretty sure it's C but I don't really see it too well so I can't read the top two the best.
Find all solutions to the equation $x^2 - 8x = -16$.
Answer:
x = 4
Step-by-step explanation:
x^2 - 8x = -16
Add 16 to both sides.
x^2 8x + 16 = 0
This may be the square of a binomial.
x^2 is the square of x
16 is the square of 4 and -4.
Let's check the middle term:
2ab = 2(x)(-4) = -8x
Yes, it is the square of a binomial.
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x - 4 = 0 or x - 4 = 0
x = 4 or x = 4
Answer: x = 4
what is 2 3/4 cups doubled??
Step-by-step explanation:
Determine the shaded areas part 2
9514 1404 393
Answer:
(a) cannot be determined
(b) 44 cm^2
(c) 87 m^2
(d) 180 m^2
(e) 132 m^2
Step-by-step explanation:
(a) missing a horizontal dimension
__
(b) The difference between the bounding rectangle and the lower-left cutout is ...
(8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2
__
(c) The difference between the bounding rectangle and the center cutout is ...
(13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2
__
(d) The difference between the bounding rectangle and the two cutouts is ...
(20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2
__
(e) The difference between the bounding rectangle and the two cutouts is ...
(14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2
There are 120 students and 23 teachers going on a class trip. The buses used for the class trip hold at most 45 passengers. How many buses will be needed?
Answer: 4 busses if each bus only hold 45 passengers at most.
Step-by-step explanation:
120 students
23 teachers=143 people
143 divided by 3 busses is only 47 so 3
busses wouldn’t be enough
What is the radius of a hemisphere with a volume of 6466 to the nearest tenth of a meter?
Answer:
14.6m
Step-by-step explanation:
volume of a hemisphere = (2/3)πr3
Therefore r = Cube root of ( Volume * 3/2 * 1/ pi)
r = cube root ( 6466 * 3/2 * 1/ π)
r = 14.56
in the nearest tenth of a meter = 14.6 m
3(x − 5) is equivalent to 3x − 15. False True
Answer:
True
Step-by-step explanation:
You would distribute the 3 across to each term( being x and -5) by multiplying 3 by x and 3 by -5 which would get you 3x-15
Answer:
true
Step-by-step explanation:
Using the graph, determine the coordinates of the x-intercepts of the parabola.
Y
Answer: -2 and 4
Step-by-step: You see the horizontal line? now look at the the numbers -2 and 4 on that line. Notice how the line passes through them? those are your x-intercepts.
The required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).
What is x-Intercept?The x-intercept is defined as an intercept that is located at the x-axis of the plane, which is the location or coordinates from where the line crosses.
We have to determine the coordinates of x-intercepts and y-intercepts that would function in the given graph.
The parabola of the graph is given in the question
A horizontal axis, or x-axis, and a vertical axis, or y-axis, are present in a 2-dimensional coordinate graph. Intercepts are the points (0, -2) and (0, 4) here lines representing a range of values intersect these axes.
Therefore, the required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).
Learn more about the x-intercept here:
https://brainly.com/question/14180189
#SPJ2
Given g(x)=−x2+10x−3, find the following.
g(9)=
Question 14 options:
-174
-111
6
138
Answer:
g(9) = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
g(x) = -x² + 10x - 3
g(9) is x = 9
Step 2: Evaluate
Substitute in x: g(9) = -(9)² + 10(9) - 3Exponents: g(9) = -(81) + 10(9) - 3Multiply: g(9) = -81 + 90 - 3Add: g(9) = 9 - 3Subtract: g(9) = 6The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is BLANK °C higher than the average daily minimum temperature.
Answer:
The average daily maximum temperature is
26.56 °C higher than the average daily minimum temperature
Step-by-step explanation:
Here, we simply want to calculate how higher is the average daily maximum temperature to average daily minimum temperature
We simply proceed to subtract the two
Mathematically, that will be;
21.85 - (-4.7)
= 21.85 + 4.7
= 26.56 °C
Solve for the value of n.
(9n)
(8n+8)
This question is based on the given solving an equation. Therefore, the value of n for (9n) (8n+8) is 0 and -1.
Given:
(9n) (8n+8)
We need to determined the value of n.
According to the question,
It is given that, expression (9n) (8n+8).
For finding the value of n, we would be equate the given expression is equal to zero.
⇒ (9n) (8n+8) = 0
Now, calculating the value of n. We get,
⇒ (9n) (8n)+(9n) (8)
Then, solving above expression further. We get,
⇒ [tex]\bold{72 n^2+ 72n = 0}[/tex]
Now, taking common 72 n. We get,
⇒ 72n (n + 1) = 0
⇒ 72 n = 0 and (n+1) = 0
We get,
n = 0 , -1
Therefore, the value of n for (9n) (8n+8) is 0 and -1.
For more details, prefer this link:
https://brainly.com/question/8743486
Plz help me with this?!?! I will mark you brainliest!!!
Answer: 36
Step-by-step explanation:
Determine whether the lines are parallel, perpendicular, or neither. Justify your answer. y = 2x - 8
Y = 1/2x + 6
⚠️if you answer correctly I will give you brainliest
Answer:
perpendicular
Step-by-step explanation:
it is perpendicular because you flipped and negative the slope. if it was parallel the slope would be the same with no negative
I GIVE BRAINLILSET
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
Answer:
(C) $1.5
Step-by-step explanation:
Profit Percent * Cost Price = Profit
20% * $1.25 =
20/100 = .2 * $1.25 =
$.25
Selling Price = Profit + Cost Price
$.25 + $1.25 = $1.5
I need help with this any one please help me
Answer:
b. y = 1000x
Constant of proportionality = 1,000
Step-by-step explanation:
The equation that represents a proportional relationship between variable x and y usually takes the following form, y = kx.
Where,
k = constant of proportionality.
From the three given equations, the only equation that takes the form is b. y = 1000x.
The constant of proportionality (k) of the equation = 1,000.
Find the length x.
5
X
45
PLS THIS IS ERGENT
Answer:
X = 7.5
Step-by-step explanation:
First, divide 5 by 3 to find the scale factor:
5/3 = 1.667
Now, multiply 4.5 by 1.667 to find x:
x = (4.5)(1.667)
x = 7.5
Therefore, x is equal to 7.5.
I hope this helps!!
- Kay :)
In a different tug of war, one team pulls with a force of 50 newtons at an angle of 30 degrees from the positive x-axis, and a second team pulls with a force of 25 newtons at an angle of 250 degrees. Use a scale drawing to determine the total force and angle applied to the central ring. How did they get the following answer?34.8 N at 2.5 degrees from the positive x-axis
Answer:
34.8 N at 2.5 degrees from the positive x-axis
Step-by-step explanation:
From the given information:
The force F makes an angle A with the positive x axis can be expressed in terms horizontal and vertical components.
[tex]F_x = F cos A\\\\ F_y = Fsin A[/tex]
Given that
[tex]F_1 = 50 \ N[/tex]
[tex]\theta_1 = 30 ^0 \ \ \ (x-axis)[/tex]
[tex]F_{1x} = F_1 \times Cos A_1[/tex]
= 50 × cos 30
= 43.3 N
[tex]F_{1y} = F_1 \times Sin \ A_1[/tex]
= 50 × sin 30
= 25 N
Similarly;
[tex]F_2 = 25 \ N[/tex]
[tex]\theta_2 = 250 ^0 \ \ \ ( x-axis)[/tex]
[tex]F_{2x} = F_2 \times cos \ A_2[/tex]
= 25 × cos 250
= - 8.55 N
[tex]F_{2y} = F_2 \times A_2[/tex]
= 25 × sin 250
= -23.5 N
The total net force;
[tex]F_{net} = F_{(net)}_x + F_{(net)}_y[/tex]
[tex]F_{net} = (F_{1x} + F_{2x} ) i + (F_{1y} + F_{2y} )j[/tex]
[tex]F_{net} = (43.3 - 8.55) i + (25-23.5 ) j[/tex]
[tex]F_{net} =34.75 i + 1.5 j[/tex]
[tex]|F_{net} | = \sqrt{F_{net}_x^2 + F_{net}_y^2}[/tex]
[tex]|F_{net} | = \sqrt{34.75^2 + 1.5^2}[/tex]
[tex]|F_{net} | = 34.8 \ N[/tex]
Finally, the direction of the angle for the net force is:
[tex]tan \theta = \dfrac{F_{net_y}}{F_{net_x}}[/tex]
[tex]\theta = tan^{-1} \Big (\dfrac{F_{net_y}}{F_{net_x}} \Big)[/tex]
[tex]\theta = tan^{-1} \Big (\dfrac{1.5}{34.75}} \Big)[/tex]
[tex]\theta = tan^{-1}( 0.043165)[/tex]
[tex]\theta \simeq 2.5^0\ with \ positive \ x-axis[/tex]