Answer:
0.5160
Step-by-step explanation:
Let us assume that the length of fishes in the tank is normally distributed. Thus, x is the random variable representing the length of fishes in the tank. Since the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
number of samples
From the information given,
µ = 15
σ = 4
n = 31
We want to find the probability that x is between (15 - 0.5) inches and (15 + 0.5) inches. The probability is expressed as
P(14.5 ≤ x ≤ 15.5)
For x = 14.5
z = (14.5 - 15)/(4/√31) = - 0.7
Looking at the normal distribution table, the probability corresponding to the z score is 0.2420
For x = 15.5
z = (15.5 - 15)/(4/√31) = 0.7
Looking at the normal distribution table, the probability corresponding to the z score is 0.7580
Therefore,
P(14.5 ≤ x ≤ 15.5) = 0.7580 - 0.2420 = 0.5160
Plz Help...Math..................
Answer:
6 tons
Step-by-step explanation:
450x12=5,400
550x12=6,600
5,400+6,600=12,000 lbs.
12,000 ÷ 2,000=6 tons
pls help meeeeeeeeeeee
Answer:
b=22/15 or 1.46 repeating
Step-by-step explanation:
11,046 as a decimal
Answer:
It cant be converted to decimal or fraction while it is a integer
∠A and \angle B∠B are vertical angles. If m\angle A=(2x-10)^{\circ}∠A=(2x−10) ∘ and m\angle B=(x+8)^{\circ}∠B=(x+8) ∘ , then find the measure of \angle A∠A.
Answer:
m∠B=52
∘
Step-by-step explanation:
Two or more angles are said to be complementary if they sum up to 90 degrees.
Given that angles A and B are complementary, then:
\begin{gathered}\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}\end{gathered}
This is the change in kinetic energy of a system in which a 16 kg object moving at 25 m/s slows to a velocity of 20 m/s.
The change in kinetic energy of the system is 200 J
Kinetic energy is the energy that an object possesses as a result of its motion.
It is given by:
Kinetic energy = (1/2)m[v - u]²
Where m is the mass of the object, v is the final velocity and u is the initial velocity.
Given that m = 16 kg, v = 20 m/s, u = 25 m/s, hence:
Kinetic energy = (1/2) * 16 * (20 - 25)² = 200 J
The change in kinetic energy of the system is 200 J
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What is the y-intercept of the equation y = 3x - 1
Answer:
you have to go over one on the y axes then 3 up that would be your answer.
your y-intercept would be -1
What are the solutions to
f (x) = x2 + 5x – 24
Vince made a scale drawing of the middle school. He used the scale 5 inches : 8 feet. If the gym is 45 inches wide in the drawing, how wide is the actual gym?
Scale drawings are used to show an actual image using lesser dimensions.
The width of the actual gym is 72 feet
The scale is given as:
[tex]Scale = 5\ inches : 8\ feet[/tex]
Represent the width of the actual gym with w, so, we have the following equivalent ratio
[tex]45\ inches : w = 5\ inches : 8\ feet[/tex]
Cancel out the common units
[tex]45: w = 5: 8\ feet[/tex]
Express as fraction
[tex]\frac{45}{w} = \frac{5}{8\ feet}[/tex]
Cross multiply
[tex]5w = 45 \times 8\ feet[/tex]
Divide both sides by 5
[tex]w = 9\times 8\ feet[/tex]
[tex]w = 72\ feet[/tex]
Hence, the width of the actual gym is 72 feet
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CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
C
Step-by-step explanation:
I need help with an equation... I can't understand it I've tried it a couple of times and I still get it wrong...so help plz?
Answer:
(f·g)(x) = x³ -8x² +20x -16
Step-by-step explanation:
The distributive property is useful for this.
(f·g)(x) = f(x)·g(x) = (x² -6x +8)(x -2)
= x(x² -6x +8) -2(x² -6x +8)
= x³ -6x² +8x -2x² +12x -16
(f·g)(x) = x³ -8x² +20x -16
_____
Additional comment
I find it convenient to separate the terms of the shortest polynomial. That way, the distributive property doesn't need to be used quite so many times. Of course, any outside minus sign applies to all terms inside parentheses.
Activity
In this activity, you will use a table of coordinate points to determine whether a function is linear or nonlinear. Billy hit a baseball to the bottom of
the outfield wall. The table gives points in the function representing the helght of the baseball in terms of the horizontal distance traveled by the
ball. Help Billy find whether this function is linear or nonlinear.
03
150 78
300 3
The value of x represents the horizontal distance traveled by the baseball, and the value of y represents the height of the ball from the ground.
-Part A
To determine whether a function is linear or nonlinear, check whether the rate of change is constant for every pair of coordinates. What is the rate
change in y, for the first two pairs of coordinates?
of change, change in
Answer: The rate of change in the y coordinate is 75. 78 - 3= 75.
Answer:
Part a: Answer is 1/2
78 - 3/150 - 0 = 75/150
= 1/2
Part b: Answer is -1/2
3 - 78/300 - 150
= -75/150
= -1/2
Part c: No, the two rates aren’t the same, because one is positive and the other is negative.
Part d: The rate of change of the function determined by using the two pairs of coordinates is not the same. So, the function modeling the movement of the ball is a nonlinear function
Step-by-step explanation:
Katie earns 15$ each hour. Round to total time katie worked to the nearest hour and estimate her pay by using mulitplacation
Answer:
How long did she work for though?
Step-by-step explanation:
What is the solution to 0. 3(12x - 16) = 0. 4(12 - 3x)?.
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
[tex]3\left(12x-16\right)=4\left(12-3x\right)[/tex]
First, let's solve the brackets. Use the distribution property. It simply means multiplying the value outside of the brackets to each value inside the brackets.
[tex]3\left(12x-16\right)[/tex]
[tex]=3\cdot \:12x-3\cdot \:16[/tex]
[tex]=36x-48[/tex]
[tex]4\left(12-3x\right)[/tex]
[tex]=4\cdot \:12-4\cdot \:3x[/tex]
[tex]=48-12x[/tex]
Now we've simplified the expression to:
[tex]36x-48=48-12x[/tex]
[tex]\mathrm{Add\:}48\mathrm{\:to\:both\:sides}[/tex]
[tex]36x-48+48=48-12x+48[/tex]
[tex]36x=-12x+96[/tex]
[tex]\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}[/tex]
[tex]36x+12x=-12x+96+12x[/tex]
[tex]48x=96[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}48[/tex]
[tex]\frac{48x}{48}=\frac{96}{48}[/tex]
[tex]\bold{x=2}[/tex]
Therefore, the answer is [tex]x = 2[/tex]
The solution of the given equation [tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex] is [tex]x=2[/tex].
Given equation,[tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex]
Use the simple rules of algebra like the BODMAS rule to get the equivalent expression for the given equation.
Simplified expression:Firstly, open the brackets and then multiply the coefficients. In the next step arrange the terms to get the simplified solution.
On Solving the brackets, we get
[tex]3.6x-4.8=4.8-1.2x\\[/tex]
[tex]3.6 \ x+1.2 \ x=4.8+4.8[/tex]
[tex]4.8 \ x=9.6 \\x=\dfrac{9.6}{4.8} \\[/tex]
[tex]\ x= 2[/tex]
Hence, the solution of the given equation is [tex]x=2[/tex].
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You need 12 dozen cookies for a bake sale. The original recipe makes 48 cookies (4 dozen). How much of each ingredient will you need?
To make a mixed number, type the whole number, then a space, then the fraction part. Example: Two and one-fourth would be 2 1/4.
Only type whole numbers, fractions or mixed numbers in the boxes below (NO DECIMALS). If it does not exactly match the answer I typed in, it will be marked incorrect. Use the / key by the right-side shift button as the fraction bar.
Ingredients Original Recipe Your Amount
All purpose flour 214 cups
cups
Baking Soda 1 teaspoon
teaspoon
Salt 12 teaspoon
teaspoon
Butter, softened 1 cup
cup
Granulated sugar 34 cup
cup
Brown Sugar 34 cup
cup
Egg(s) 1
Vanilla 1 teaspoon
teaspoon
Semisweet Chocolate Chips 2 cups
cups
What is the constant of proportionality for this situation?
Answer:
So all the ingredients need to be used three times so 642 flour, baking soda 3 teaspoons, same for vanilla, salt 36 teaspoons, butter 3 cups, granulated sugar 102 cups, same for brown sugar, 3 eggs, choco chips 6 cups
I really need help, this is probability and statistics, if anyone else is taking this class, please help, it is a unit test study guide.
Answer:
id like to help but the picture is really blurry so im afraid that i cant. but i know there are others who can!
Step-by-step explanation:
i hope this helps you!
I can't see the picture good
What is the slope of the proportional relationship, and how can I graph it?
Answer:
I would say 5.2 .
Step-by-step explanation:
if I’m wrong, I’m sorry. If I’m right, mark me brainlest!
brainlist please solve this
Answer:
D
Step-by-step explanation:
It makes sense, the others don't.
The x coordinate is the temperature, and the y coordinate is the number of cups sold.
Hope this helped! :)
3-(-5)=3+?
Not sure what this was
Answer:
5
Step-by-step explanation:
3 - ( - 5 )
= 3 + 5
3 + ? = 3 + 5
? = 5
An oil tanker is leaking at a constant rate per minute. After 11 minutes, 931 gallons of oil remain in the tanker. After 18 minutes, 633 gallons of oil remain in the tanker. Write the function f(t) that describes this scenario.
The function f(t) that describes this scenario will be A = -42.57t + 1399.28
Let the amount of oil remaining after time t be ALet the time taken be "t"
This required linear expression will be given as A= mt + b
Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)
m is the rate of change = 633-931/18-11
m = -298/7
m = -42.57
Get the intercept;
633 = -42.57(18) + b
633 = -766.29 + b
b = 1,399.28
Heence the function f(t) that describes this scenario will be A = -42.57t + 1399.28
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what is the sign of -5 times (-1/-2)
Answer:
-
Step-by-step explanation:
Your bill at a restaurant is $68 and you want to leave a %20 tip what is the total amount you will leave
Answer:
$81.6
Step-by-step explanation:
You multiply 0.2 by 68, in which you will get 13.6, and then you add that to 68.
HELP ME PLEASEEEE I NEED ITT !
Answer:
10
Explanation:
130 divided by 13 equals 10
10 times 13 equals 130
Dom mowed 2/5 of his lawn. Maddy mowed 1/4 of it. who mowed most. how much more needs to be mowed
Answer:
Dom mowed the most and 7/20 is how much is left
Step-by-step explanation:
To compare the answer of which is larger you need a like denominator. Maddy: 5/20
Dom: 8/20
Now what is left for them to do is 7/20.
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Please, Help with this MATH question.
crisps
normal price £1.43
three for the price of two
what is the total of 6 packets
Answer:
3 packs equal the price of two, therefore 1.43•2= 2.86
and 6 packs equal the price of 4, so 2.86•2= 5.72
Systematic bias occurs when the way data are collected and measured is
inaccurate. These flawed data lead to unreliable results.
A. True
B. False
Find the circumference of a circle with a radius of 3/4 km
Answer:
3/2pi or 0.47746
Step-by-step explanation:
The ormula for circumference is:
Circumference = 2*pi*radius
Then substitute radius = 3/4km
Circumfrence = 2*pi*(3/4)km = 3/2pi or 0.47746
prove that: sin×sec=tan
[tex]L.H.S\\\\=\sin \theta \sec \theta \\\\=\sin \theta \cdot \dfrac 1{\cos \theta } \\\\=\dfrac{\sin \theta}{\cos \theta}\\\\=\tan \theta\\\\=R.H.S\\\\\text{Proved.}[/tex]
Which sentence is correct?
A. -4 > 3
B. -4< -6
C. -4 > -7
D. -5 > -4
Answer:
C. -4 > -7
Step-by-step explanation:
answer= option C
