You have a textbook for each of the following subjects: Spanish, English, Chemistry, Geometry, History, and Psychology. If you choose 4 of these at random to arrange on a shelf, what is the probability that the Geometry textbook will be first from the left and the Chemistry textbook will be second from the left?
The probability that the Geometry textbook will be first from the left and the Chemistry textbook will be second from the left is 1/30
How to determine the probability?The distribution of the books is:
Spanish, English, Chemistry, Geometry, History, and Psychology
The probability of choosing a Geometry book is:
P(G) = 1/6
Now, there are 5 books left.
The probability of choosing a Chemistry book is:
P(C) = 1/5
The required probability is:
P = 1/6 * 1/5
Evaluate
P = 1/30
Hence, the probability is 1/30
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Can somebody please help me with this
Answer: 3
Step-by-step explanation:
You're trying to save to buy a new $150,000 Ferrari. You have $35,000 today that can be
invested at your bank. The bank pays 4.0 percent annual interest on its accounts. How
long will it be before you have enough to buy the car?
Multiple Choice
O
37.61 years
36.86 years
Answer:
37.61 years
Step-by-step explanation:
I am assuming this is compound interest
35 multiplied by 1.04 to the power of 36.86 does not generate enough money.
35 multiplied by 1.04 to the power of 37.61 does.
Answer:
37.61 yrs
Step-by-step explanation:
FV = future value = 150 000
PV = present value = 35 000
i = decimal interest = .04
annual interest periods = n
formula FV = PV ( 1 + i)^n plug in the values and solve for 'n'
150 000 = 35000 ( 1 + .04)^n
150000/35000 = (1 + .04)^n take log of both sides
.632 = n log1.04
n = years = 37.105 years
what is the slope of the line
Answer:
Step-by-step explanation:
(0, 2) (2, 0)
(0-2)/(2-0)= -2/2= -1
y - 2 = -(x - 0)
y - 2 = -x + 0
y = -x + 2
Can you guys help me please :(
Step-by-step explanation:
ask me if you don't understand
solve for x (3x+2x)(x-5)
Answer:
Step-by-step explanation:
1) Combine like terms.
⇒ (3x + 2x) ( x - 5 )
⇒ (5x) ( x - 5 )
2) Distribute.
⇒ 5x ( x - 5 )
⇒ 5x² - 25x
3.) A small city currently has a population of 130,250 people. The population is growing at a
rate of 0.2% each year. Approximately how many more people will live in the city three years from
now?
Answer:
131,033.
Step-by-step explanation:
The growth factor is 1 + 0.2 %
= 1 + 0.002 = 1.002.
So in 3 years population
= 130,250(1.002)^3
= 131,033
Which ratio represents the number of vowels to total letters in the word JACKSONVILLE?
Step-by-step explanation:
4:12 there are four vowels and 12 letters?
please help out asap, will give brainlist crown
Answer:
4 is an interior angle1,2,3 are exterior angles3. 2x+12+3x-7=360
5x+5=360
5x=360-5
x=355/5
x=71
for exterior
2x+12=360
2x=360-12
x=348/2
x=174
Step-by-step explanation:
hope this will help you
help will mark Brainliest!!
Evaluate the formula for the area of a triangle to solve the problem.
The area of a sandbox = one-half base times height. The height is 2.4 meters and the base is 3.5 meters.
Lokota wants to build a sandbox for his little brother. Determine the amount of sand he needs by finding the area of the sandbox. Use the drop-down menus to complete the statements.
First, write the
.
Next, use parentheses when you substitute
for b and
for h.
Now, simplify by
1
2
, 2.4, and 3.5.
The area of the sandbox is
m².
The area of the triangle will be 4.2 square meters.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The height is 2.4 meters and the base is 3.5 meters.
Then the area of the triangle will be
Area = 1/2 x b x h
Then we have
Area = 1/2 x 3.5 x 2.4
Area = 4.2 square meters
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✔ formula: A = 1/2 bh
✔ 3.5
✔ 2.4
✔ multiplying
✔ 4.2
Step-by-step explanation:
Took quiz
What is the square root of 1 x pi
Answer:
3.14159265359 or simplify it to 3.14...
a rental truck company charges $25 per day plus a fee of $0.35 for every mile (m) driven. Which equation can be used to find the number of miles driven for a truck that costs a total of $42.50 to rent for one day?
Please Help!
Find tan x/2, given sin x = 3/5, with 90° < Θ < 180°
we know the angle is between 90° and 180°, 90° < θ < 180°, that means the angle is in the II Quadrant, where the sine is positive and the cosine is negative, with that info, let's find check a few things
[tex]sin(\theta )=\cfrac{\stackrel{opposite}{3}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - 3^2}=a\implies \pm\sqrt{16}=a\implies \pm 4 = a\implies \stackrel{II~Quadrant}{-4=a} \\\\[-0.35em] ~\dotfill[/tex]
[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{-4}}{\underset{hypotenuse}{5}} \\\\\\ tan\left(\cfrac{\theta}{2}\right)\implies \cfrac{sin(\theta)}{1+cos(\theta)}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{1-\frac{4}{5}}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{\frac{1}{5}}\implies \cfrac{3}{5}\cdot \cfrac{5}{1}\implies 3[/tex]
Find the domain of the graphed function.
j
O A. 1sxs 5
O B. x2 2
O C. 2 sxs 5
D. xis all real numbers.
Answer:
A. -1 ≤ x ≤ 3
Step-by-step explanation:
According to the graph, our x-values span from -1 to 3. Since both are closed dot, they are inclusive in the domain:
[-1, 3] or -1 ≤ x ≤ 3
16. (1.7 • 10^-4)(5•10^-5)
A. 8.5 • 10^-9
B. 8.5 • 10^20
C. 6.7 • 10^-9
D. 6.7 • 10^20
Can a triangle have sides with the given lengths?
2 in, 4 in, 6 in
Answer:
NO
Step-by-step explanation:
Because the sum of the minor sides equals the measure of the major side, it must be less.
2 + 4 = 6
Hope this helps
Please help me do this question mathematics genius
The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).
How to find the total differential of a multivariate function
In this question we must apply the concept of total differential to determine the change of the variable z in terms of the changes in variables x and y. That is:
[tex]\Delta z = \frac{\partial f}{\partial x}\cdot \Delta x + \frac{\partial f}{\partial y}\cdot \Delta y[/tex] (1)
If we know that z = sin (x³ + y³), Δx = 0.3 and Δy = 0.2, then the expression for the change of z is:
[tex]\Delta z = 3\cdot \cos (x^{3}+y^{3})\cdot x^{2}\cdot (0.3)+3\cdot \cos (x^{3}+y^{3})\cdot y^{2}\cdot (0.2)[/tex]
Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³)
The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).
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Which is more effective, the Pythagorean Theorem or The Six Trigonometric
Ratios?
Both methods of solving for lengths of a right triangle are effective. That being said, the Pythagorean theorem is well-known and only requires a student to know one equation (as well as where the legs/hypotenuse should be plugged in). The six trigonometric ratios are also helpful, and over time are something that students begin to recognize when looking at right triangles.
I believe that the Pythagorean theorem is more effective because of its simplicity and wide application. The six trigonometric ratios will not apply to every right triangle, and require more memorization.
Hope this helps!
find g(-3) g(2) g(4)
Answer:
[tex]\frac{1}{2}[/tex] , 2 , 4
Step-by-step explanation:
x = - 3 ≠ 2 , then
g(- 3) = [tex]\frac{1}{2}[/tex] × (- 3)² - 4 = [tex]\frac{1}{2}[/tex] × 9 - 4 = [tex]\frac{9}{2}[/tex] - 4 = [tex]\frac{1}{2}[/tex]
x = 2 then g(2) = 2
x = 4 ≠ 2 , then
g(4) = [tex]\frac{1}{2}[/tex] × 4² - 4 = [tex]\frac{1}{2}[/tex] × 16 - 4 = 8 - 4 = 4
If a satellite can travel 200ft per second, how many hours will it take the satellite to travel 10,000 miles?
Let's examine what the problem gives us:
Distance ⇒ 10000 milesTime ⇒ 200 ftWhat does the problem want:
⇒ time (in hours)
Must find the relationship between distance, speed, and time:
⇒ Distance = Speed * Time
⇒ [tex]Time = \frac{Distance}{Speed}[/tex]
Let's convert some units:
We want the time in hours and distance in miles, but we have speed in feet per sec, and we want miles per hour⇒ let's convert
⇒ [tex]\frac{200_.ft}{1_.s}*\frac{3600_.s}{1_.hr}*\frac{1_.mi}{5280_.ft}=136.36_. mi/hr[/tex]
Now let's solve:
[tex]Time = \frac{Distance}{Speed}=\frac{10000_.mi}{136.36.mi/hr} =73.33_.hrs[/tex]
Answer: 73.33 hrs (estimated)
||||||
(Multiple Choice and Picture Attached) Will give Brainiest!!
Using the box-and-whisker plot shown, find the quartile values and
Q--8, Q, = 8
8
O
Q=-4, = 6
6
O
q=-4, = 8
8
--8,Q,- 4
Answer:
Q1 = -4, Q2 = 6
Step-by-step explanation:
In this box-and-whisker plot, the first vertical line is the first quartile (-4), the second vertical line is the median (4), and the vertical line is the third quartile (6). The box contains the middle 50% of the data set.
QUESTION in the diagram below the following are rectangles. ACEG ;BCDJ ; JDEF and HJFG is a square AB =AH = x ;BC=5 ; HG=3 Area of a square= s×s= s² Area of a rectangle= l×b Determine the area of ine following, some cases love answer terms of . DO NOT MEASURE THE DIAGRAM) 2.1.1 ABJHUnit 2.1.2 BCDJ: Units Units 2.1.3 DEFJ 2 2.1.4 HJFG Units 22 write in terms of the length of 2.2.1 AC 2.22 AC Units
The area of the rectangle ACEG is the amount of space on it, and the area of square HJFG is 9 square units
How to determine the area of the figures?The area of a rectangle is:
Area = Length * Width
The area of a square is:
Area = Length * Length
From the question, the given parameters are:
AB =AH = x ;
BC=5;
HG=3
This means that the area of square HJFG is:
Area = HG * HG
Area = 3 * 3
Area = 9
Note that the other areas cannot be calculated because the question is incomplete
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PLEASE HELP!! 35 POINTS!!!
ignore my writing if it’s wrong
Answer: sin(x)=5/11
Step-by-step explanation:
For #7, the hypotenuse is always the longest side of a triangle and in right triangles it's always the side that's opposite the right angle. MO, the side thats 11, is the hypotenuse in this triangle and not the adjacent side which would be NM. Therefore, you need to use sin=opp/hyp and get sin(x)=5/11
Select the correct answer.
A pizza restaurant starts the day with a certain amount of pizza dough. The length of time the dough will last varies inversely with the number of
medium pizzas made.
If they need to make 32 medium pizzas, the dough will last 5 hours. How long will the dough last if they need to make 40 pizzas?
OA 2.75 hours
OB. 4 hours
OC.
8 hours
OD. 6.25 hours
The length of time needed for the dough to last if 40 pizzas is required is 4 hours.
Inverse variationlet
length of time = lnumber of pizza = pl = k / p
where,
k = constant of proportionality
If l = 5 and p = 32
l = k / p
5 = k / 32
5 × 32 = k
160 = k
Find l when p = 40
l = k / p
l = 160/40
l = 4 hours
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Please help
A survey asked, "Do you support capital punishment?" Of the 800 Americans surveyed, 550 responded no. For a 90% level of confidence, find the margin of error associated with the poll. Write your answer as a percent rounded to the tenths place.
MOE = %
Answer:
10% maybe
Step-by-step explanation:
because 90% said no and 10% said yes
I hope it helps you
.
A jar contains 11 green marbles, 6 red marbles, and 9 blue marbles. A marble is selected at random, not replaced, and then a second marble is selected. What is the probability of selecting a red marble followed by a green marble?
Answer:
red marbel
[tex] = \frac{3}{13} [/tex]
green marbel
[tex] = \frac{9}{26} [/tex]
Step-by-step explanation:
for the red marbel you first add all the number of balls given and the total is 26 then you take the number of red marbels dividing the total number of all the balls and if you are able to cancel out you can and there you get your answer same applies to the green marbel
Does the pair of ratios form a proportion?
85 , 42
18 9
Answer:
Not Proportional
Step-by-step explanation:
85:42 :: 18:9
85 x 9 = 42 x 18
765 = 776
They are not equal, so they cant be proportional.
Wendy’s Big Bacon Classic contains how many calories after calculating the
nutrients below?
44 grams Carbohydrate= _____ Calories
36 Grams of Fat= ______ Calories
37 Grams of Protein= _____Calories
explain please thanks
Answer:
44 grams carbohydrates = 176 calories
36 gram of fat = 324 calories
37 gram of protien = 148 calories
44 grams of Carbohydrates = 176 calories
36 grams of Fat = 324 calories
37 grams of Protein = 148 calories
To calculate the number of calories from each macronutrient (carbohydrates, fat, and protein), you need to know the caloric content per gram for each nutrient.
The caloric content per gram is as follows:
- Carbohydrates: 1 gram = 4 calories
- Fat: 1 gram = 9 calories
- Protein: 1 gram = 4 calories
Now, let's calculate the number of calories for each macronutrient in the Wendy's Big Bacon Classic:
1. Carbohydrates:
Calories from Carbohydrates = 44 grams × 4 calories/gram
Calories from Carbohydrates = 176 calories
2. Fat:
Calories from Fat = 36 grams × 9 calories/gram
Calories from Fat = 324 calories
3. Protein:
Calories from Protein = 37 grams × 4 calories/gram
Calories from Protein = 148 calories
In total, the burger would have 176 + 324 + 148 = 648 calories.
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Help please I don’t get this one
Answer:
[tex]P = 8\pi[/tex]
Step-by-step explanation:
To solve this problem, we must calculate the circumference of one circle and multiply it by two because there are 2 circles (4 halves), that make up the perimeter.
We know the diameter is 4m, thus, the circumference of one circle (two halves) is:
[tex]C_1 = \pi d\\C_1 = \pi 4[/tex]
To get the total perimeter (circumference) multiply the result by 2:
[tex]C = C \times 2\\C = 4\pi \times 2\\C = 8\pi[/tex]