Find the difference between the existing terms:
-8 / -4 = 2
-16/-8 = 2
This means the next term is the previous term multiplied by 2:
The first term is given as -4
You would start with the first term ( -4) then multiply it by the difference of terms ( 2) raised to the nth term (n) minus 1.
An = -4 * 2^n-1
The answer is A
Which is the closest synonym for the word productive?
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected:
A.) Mysterious
B.) Cheerful
C.) Confident
D.) Valuable
Answer:
The answer would be letter D. Valuable.
Mrs. Murphy has 83 rulers to divide among her students
Write an expression using a variable to represent the situation.
Answer:
83 ÷ x = y
Step-by-step explanation:
83 is the amount of rulers
x is the amount of students
y is the answer
The area of a parallelogram of base 10 cm and height 6.2 cm is
(a) 6.2 cm
(b) 31 cm
(C) 62 cm (d) 620 cm
Answer:
62 cm
Step-by-step explanation:
It's basically just a rectangle, so area formula for rectangle is base x height
Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces.
(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces? Round your answer to 4 decimal places.
(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces? Round your answer to 4 decimal places.
Answer:
a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces
b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 8.0 ounces and a standard deviation of 1.1 ounces.
This means that [tex]\mu = 8, \sigma = 1.1[/tex]
(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?
[tex]n = 5[/tex] means that [tex]s = \frac{1.1}{\sqrt{5}} = 0.4919[/tex]
This probability is the pvalue of Z when X = 9.3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{9.3 - 8}{0.4919}[/tex]
[tex]Z = 2.64[/tex]
[tex]Z = 2.64[/tex] has a pvalue of 0.9959
0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces
(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?
[tex]n = 6[/tex] means that [tex]s = \frac{1.1}{\sqrt{6}} = 0.4491[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 9. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{9 - 8}{0.4491}[/tex]
[tex]Z = 2.23[/tex]
[tex]Z = 2.23[/tex] has a pvalue of 0.9871
1 - 0.9871 = 0.0129
0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces
What are the answers to 3 and 4?
Hello! Will someone please help me with expanding and simplifying this?:
3(m+2) + 4(6+m)
=============================================
Work Shown:
3(m+2) + 4(6+m)
3m+6 + 24 + 4m
(3m+4m) + (6+24)
7m+30
------------
Explanation:
In the second step, I used the distribution rule a*(b+c) = a*b+a*c. We multiply the outer term by every term inside. So for instance 3(m+2) = 3*m+3*2 = 3m+6. A similar situation applies to 4(6+m) as well. Afterward, I grouped and combined like terms.
We can think of 3m+4m = 7m as saying "I have 3 maps and someone gave me 4 more maps, so that means I have 3+4 = 7 maps now". The m is a place holder for any number.
If ground beef costs $4.99 per pound, what is the cost of 2 3/4
pounds?
a. $1.81
b. $11.48
c. $11.98
d. $13.73
Answer:
2 x 4.99 = 9.98
3/4 x 4.99 = 3.7425 round it to 3.74
9.98 + 3.74 = 13.73
Answer: $13.73
Step-by-step explanation:
Find f(-3)
Please help!
Answer:
-6
Step-by-step explanation:
anything for sangwoo
The numeric value of this expression is -6!
To find out what the value of this expression is, let's replace f(x) with f(-3) and perform the given math operations.[tex] \large \sf f(x) = 12 - 2x {}^{2} [/tex]
[tex] \large \sf f(-3) = 12 - 2\cdot (-3){}^{2} [/tex]
[tex] \large \sf f(-3) = 12 - 2\cdot 9 [/tex]
[tex] \large \sf f(-3) = 12 - 18 [/tex]
[tex] \boxed{ \boxed{{ \large \sf f(-3)=-6}}}[/tex]
Therefore, the result of this expression is f(-3)=-6. ✅
2.
Akeem is making juice for a class party. For every 1 litre of water, he uses 100 ml of juice
mix
If he uses 4 litres of water, how many ml of juice does he use?
Answer:
400ml of juice
Step-by-step explanation:
1 litre of water = 100ml of juice
4 litres of water =? ml of juice
to get from 1 litre to 4 litre of water you multiply by 4,so you do the same for the juice and multiply the juice by 4.
100×4=400
4 litres of water = 400ml of juice
To charter a fishing boat for 3 hours the captain charges a base fee of 45.00 plus 15.00 per person using variables construct a function that models the total cost of a 3-hour charter in terms of the number of people in your function. Define any variables you use. What is the correct interpretation of the initial value snd the rate of change
Answer:
$90.00
Step-by-step explanation:
Given
[tex]c = 45.00[/tex]--- base fee
[tex]m = 15.00[/tex] --- rate
[tex]x = 3[/tex] --- individuals
Required
Determine the total amount paid (y)
The relationship between the variables is:
[tex]Total = Base\ Fee + Rate * Individuals[/tex]
[tex]y = c + mx[/tex]
This gives:
[tex]y = 45.00 + 15.00 * 3[/tex]
[tex]y = 45.00 + 45.00[/tex]
[tex]y = 90.00[/tex]
Hence, the amount is $90.00
I
Pls pls answer quick I will give brainly
Answer:
x>9/5
Step-by-step explanation:
x>9/5
Solve for x. Round your answer to the nearest tenth. Will mark brain list !
Answer:
29
Step-by-step explanation:
find each measure measurement indicated. Round your answers to the nearest tenth. Please show work
9514 1404 393
Answer:
∠B = 125°∠y = 27°DF = 6 kmAC = 12 ftStep-by-step explanation:
1. The desired angle is given on the diagram as 125°.
__
For the rest of these problems, the Law of Sines applies. A side can be found from ...
a = b(sin(A)/sin(B))
and an angle can be found from ...
A = arcsin(a/b·sin(B))
__
2. Y = arcsin(y/z·sin(Z)) = arcsin(5/11·sin(88°))
∠Y = 27°
__
3. DF = (11 km)·sin(32°)/sin(103°)
DF = 5.98 km ≈ 6 km
__
4. b = c·sin(B)/sin(C) = (13 ft)·sin(65°)/sin(180° -65° -37°)
b = 12 ft
Answer:
#1: The measure of m<B is 125°.
#2: M<Y is equal a 27°.
#3: So the length of DF is 5.99 km.
#4: the side length AC is 13.1 feet.
Explanation:
# 1: The following given,
c = AB = 17 cm
a = BC = unknown
b = CA = 44 cm
Ø = 125
M<B means it is the angle at vertex B of the triangle, it is also the only angle given in thbe figure.
Therefore, The measure of m<B is 125°.
#2: We can calculate the value of the angles by means of the law of sine which is the following:
[tex] \frac{yz}{sin \: x} = \frac{xz}{sin \: y} = \frac{xy}{sin \: z} [/tex]
We need you know the Y value, therefore we replace and solve for Y
[tex] \frac{xz}{sin \: y} = \frac{xy}{sin \: z} \\ \frac{5}{sin \: y} = \frac{11}{sin \: 88} \\ 5 \: . \: sin \: 88 = 11 \: . \: sin \: y \\ sin \: y = \frac{5 \: . \: sin \: 88}{11} \\ sin \: y = 0.45426 \\ y = {sin}^{ - 1} (0.45426) \\ y = 27[/tex]
#3: In order to find the length of Df, we can use the law of sines in this triangle:
[tex] \frac{11}{sin \: (103)} = \frac{df}{sin \: (32)} \\ \frac{11}{0.974} = \frac{df}{0.53} \\ df = \frac{11.0.53}{0.974} \\ df = 5.99[/tex]
So the length of DF is 5.99 km.
#4: We are given two two angles and one side length.
<A = 37°
<B = 65°
AB = 13 ft
We are asked to find side length AC
We can use the "law of sines" to find the side length AC
[tex] \frac{sin \: c}{ab} = \frac{sin \: b}{ac} [/tex]
Let us first find the angle <C
Recall that the sum of all three interior angles of a triangle must be equal to 180°
[tex] < a + < b + < c = 180 \\ 37 + 65 + < c = 180 \\ 102 + < c = 180 \\ < c = 180 - 102 \\ < c = 78[/tex]
So, the angle <C is 78°
Now let us substitute all the known values into the law of sines formula and solve for AC
[tex] \frac{sin \: c}{ab} = \frac{sin \: b}{ac} \\ \frac{sin \: 75}{13} = \frac{sin \: 65}{ac} \\ ac = \frac{sin \: 65 \: . \: 13}{sin \: 75} \\ ac = \frac{9.06 \: . \: 13}{0.899} \\ ac = 13.1ft[/tex]
Therefore, the side length AC is 13.1 feet.
PLEASE HELP I'LL GIVE BRAINILLEST!!!
cancelStep-by-step explanation:
10) there are infinity values for k
4(k-8)=-32+4k
4k-32=-32+4k
these two equal each other so any value is equal to k
12) there are no values for b
-(3-6b)=6b+5
-3+6b=6b+5
the b's out and you are left with -3=5 which is impossible
Hope that helps :)
Answer:
10 is k= -4 i dont know 12 though... u dont have to give brainly to me.
Step-by-step explanation:
Which system has (3,0) as a solution?
- x + y =-1
3x – 2y = 5
3x + 2y = 9
x – 4y = 3
Option 1
Option 2
x+y = 3
x - y = 0
2x + y = 12
x – 2y =- 3
Option 3
Option 4
Answer:
x+y=3
Assuming that the option 1 and 2 dont mean anything
Match each equation on the left to the mathematical property it uses on the right
Answer:
attachment plz
Step-by-step explanation:
nothing is being seen
Use these similar triangles on the coordinate plane to determine the equation of a straight line with a slope of 5/3 that passes through the orgin.
Answer:
y=5/3x
Step-by-step explanation:
a) 7l - 15 = 6
b) 3j -18=3
c) 5k+7=32
d) 9m+11=74
e) 6n+12=72
f) 7r-8=41
j) 6q-12=84
h) 3k+7=46
I) 5m+12=72
k) 9n+9=72
l) 6r-8=40
m) 11q-10=89
What is 472 x 82 i also need your thiniing process
Answer:
472×82=38704
Step-by-step explanation:
Prime factorization:
2^4×41×59
The temperature of a piece of metal was 32°C. It was then lowered into a glass of
hot water and the temperature of the piece of metal rose to 36°С. Find the
percentage increase in the temperature of the piece of metal.
Answer:
12.5%
Step-by-step explanation:
Given that,
Initial temperature of a piece of metal = 32°C
Final temperature of the piece of metal = 36°С
We need to find the percentage increase in the temperature of the piece of metal. The percentage increase in any value is given by the relation as follows :
[tex]\%=\dfrac{|\text{final value-initial value}|}{\text{initial value}}\times 100\\\\=\dfrac{36-32}{32}\times 100\\\\=12.5\%[/tex]
So, the required percentage increase in the temperature of the piece of metal is equal to 12.5%.
What is the slope of the line?
y+3 = -4(2 + 7)
Answer:-4
Step-by-step explanation:
Solve the triangle. Round your answers to the nearest tenth.
Answer:
Area = 80 units²
Step-by-step explanation:
Given that:
a = 19 units
b = 9 units
c = 97°
Find the area of the triangle!
Area = ab(sin(c))/2
Area = [19×9×(sin(97))]/2
Area = 84.86 units²
Area = 80 units² ✅
______________
#IndonesianPride
- kexcvi -
You deposit $3000 each year into an account earning 2% interest compounded annually. How much will you have in the account in 20 years?
Answer:
$72891.1094
Step-by-step explanation:
This method of saving is called sinking fund.
Future value (FV) = A*([tex]\frac{[(1+r)^{n} - 1]}{r}[/tex])
Where A is the amortization, r is the rate and n the number of years.
A = $3000
r = 2% = 0.02
n = 20
FV = 3000 * [tex](\frac{[(1.02)^{20} - 1]}{0.02})[/tex]
= 3000 * 24.2973698
= 72891.1094
FV = $ 72891.1094
The amount that would be in the account after 20 years is $72891.1094
Need some help thank you!!
Answer:
74
Step-by-step explanation:
If it is $10 for each GB, you would multiply the amount by 10.
You get $50.
Now you need to add the $24 to get $74 per month :)
x=[ ? ]°
X
х
please help urgent
Answer:
since all sides are equal 3x = 180
you find the 180÷3
which is 60
Find the area of a circle.With diameter of 10.use the value 3.14 π and do not round your answer.
5 + 4x - 2x = 8x + 11 + 12
Explain step by step PLEASE
Adding 102 instances of 103 gives 2S=
Step-by-step explanation:
this is the cutest answer
Patients come into a medical clinic have a mean weight of 207.6 pounds with a standard deviation of 22.6 pounds. the distribution of weight is not assumed to be symmetric. between what two ways does Chebyshev's Theorem guarantee that we will find at least 95% of the patients? Round your answers to the nearest 10th
Answer: 105.9 lbs and 309.3 lbs
Step-by-step explanation:
By Chebyshev's Theorem, the proportion of patients with weights within 4.5 standard deviations of the mean is at least 95%. Therefore k=4.5.
The weight that is 4.5 standard deviations less than the mean is 207.6−4.5(22.6)=105.9 pounds.
The weight that is 4.5 standard deviations greater than the mean is 207.6+4.5(22.6)=309.3 pounds.
So at least 95% of the patients have weights between 105.9 and 309.3 pounds.
x/6 + 12 = -12
i don’t know what x is
Answer:
-144 is your answer for x.
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
Do the opposite of PEMDAS. PEMDAS is the order of operation, and stand for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 12 from both sides of the equation:
x/6 + 12 (-12) = -12 (-12)
x/6 = -12 - 12
x/6 = -24
Next, isolate the variable x, by multiplying 6 to both sides:
(x/6) * 6 = (-24) * 6
x = -24 * 6
x = -144
-144 is your answer for x.
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