Answer:
x = 6/-a
Step-by-step explanation:
To solve for x, you need to isolate it one one side of the equal sign.
-ax - 20 = -14
First, add 20 to both sides of the equal sign
-ax = 6
Then, divide both sides by -a
x = 6/-a = -6/a
Find the product and fill in the blanks to write in standard complex number form.
(5+3)(8 - 2) =
Answer:
14
Step-by-step explanation:
Find the product and fill in the blanks to write in standard complex number form.
3. Which graph shows the probability distribution of the spinner (red, green, blue, yellow)?
Answer: the first graph does
Step-by-step explanation:
Tanya is playing Pokemon Go, and searching for a Snorlax. The game is programmed such that pokemon are generated randomly, and there is a 5% chance that a Snorlax will appear. Tanya will search Mill Creek park until she captures 312 random pokemon. Consider the proportion in her sample that will be Snorlax. As we have learned, the sample proportion is a random quantity.
Required:
a. What type of random variable can we use to approximate the sample proportion?
b. What is the mean of the sample proportion?
c. What is the standard deviation of the sample proportion?
d. What is the approximate probability that more than 10% of her sample will be Snorlaxes?
Answer:
a) Approximately normal variable.
b) 0.05.
c) 0.0123
d) Approximately 0% probability that more than 10% of her sample will be Snorlaxes
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 z-score 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 p-value, 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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
5% chance that a Snorlax will appear. Tanya will search Mill Creek park until she captures 312 random pokemon.
This means that [tex]p = 0.05, n = 312[/tex]
a. What type of random variable can we use to approximate the sample proportion?
By the Central Limit Theorem, an approximately normal variable.
b. What is the mean of the sample proportion?
[tex]\mu = p = 0.05[/tex]
The mean is 0.05.
c. What is the standard deviation of the sample proportion?
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.05*0.95}{312}} = 0.0123[/tex]
d. What is the approximate probability that more than 10% of her sample will be Snorlaxes?
This is 1 subtracted by the pvalue of Z when X = 0.1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.1 - 0.05}{0.0123}[/tex]
[tex]Z = 4.05[/tex]
[tex]Z = 4.05[/tex] has a pvalue of approximately 1
1 - 1 = 0
Approximately 0% probability that more than 10% of her sample will be Snorlaxes
Direct Variation
There are about 100 calories in 30 grams of Swiss cheese. Ruth ate 70 grams of this cheese. About how many calories were in the cheese that she ate if the number of calories varies directly as the weight of the cheese?
a. 224
b. 280
c. 218
d. 233
Please select the best answer from the choices provided
Answer:
d.233 is the answer
Step-by-step explanation:
hope it helps you
If 8 people invest each in a stamp collection and after a year the collection is worth $3,800, how much did each person lose? show work
This question is incomplete, the complete question is;
If 8 people invest $500 each in a stamp collection and after a year the collection is worth $3,800, how much did each person lose? show work
Answer:
Each person lost $25
Step-by-step explanation:
Given the data in the question;
Number people that invested = 8
Amount each invested = $500
worth after a year the collection = $3,800
Now, the amount each person lost will be;
[tex]Lost_{each-person[/tex] = Total loss / total number of persons
[tex]Lost_{each-person[/tex] = [ ( 500 × 8 ) - 3800 ] / 8
[tex]Lost_{each-person[/tex] = [ 4000 - 3800 ] / 8
[tex]Lost_{each-person[/tex] = 200 / 8
[tex]Lost_{each-person[/tex] = 25
Therefore, each person lost $25
Which set is a proper subset of the counting numbers?
{−1,0,1}
{5}
{0}
{1,2,3,…}
Answer:
{5}
Step-by-step explanation:
Set of counting numbers:
Set of numbers you count with, starting from 1. So
C = {1,2,3,4,5,....}
Proper subset of a set:
A proper subset of a set A is a subset B that is not equal to A, that is, all elements of B are in A but A has at least one element that is not in B.
In this question:
The set of counting numbers is C = {1,2,3,4,5,....}
Among the options, {-1,0,1} and {0} are not subsets of C, as they contain elements that are not in C, while {1,2,3,...} is not a proper subset, as it is equals to C. So the correct answer is {5}.
Let Y1 < Y2 < Y3 < Y4 < Y5 be the order statistics of five independent observations from an exponential distribution that has a mean of θ = 3. (a) Find the p.d.f. of the sample median Y3. (b) Compute the probability that Y4 is less than 5.
Answer:
a) [tex]10[1-e^{-y/3} ] ^{2} e^{-y}[/tex]
b) ≈ 0.76
Step-by-step explanation:
Given that : Y1 < Y2 < Y3 < Y4 < Y5 are the order statistics of five independent observations
mean of θ = 3
a) Determine the P.d.f of the sample median
P.d.f of sample median ( y3 ) = [tex]10[1-e^{-y/3} ] ^{2} e^{-y}[/tex]
attached below is the detailed solution
b) determine the probability that Y4 is < 5
p( Y4 < 5 ) = G4( 5 )
= 0.7599 ≈ 0.76
attached below is the detailed solutions
A football coach expects 453 people to come to the next game. A set of bleachers holds 56 fans. If each set of bleachers costs $99, will the coach need to spend more than $1,000 for the bleachers? How can you decide without using division? and links are included to but if it is to cheat i am reporting them
Answer:
No need to spend more than $ 1,000
Step-by-step explanation:
assume the coach needs 10 set
10 set will cover 10×56 = 560 people that more than 453.
so,
the cost is only 10× $99 = $ 990
that less than $ 1,000
Answer:
Fewer than 10 sets of bleachers are needed. This is because 5610 560, which is greater than 453. The cost of 10 sets of bleachers would be $9910 $ 990, which is less than $1,000. The coach will not need to spend more than $1,000 for the bleachers.
1)Lesley's fruit salad contains 40% grapes. Circle the figure that represents 40%.
the last one
Step-by-step explanation:
it is 40/100
Which equation is not equivalent
Answer:
C
Step-by-step explanation:
(2x+3)(x+4) = 2x² + 8x + 3x + 12
= 2x² + 11x + 12 ≠ 2x² + 10x + 12
compete the two column proof
Answer:
i cant read half the stuff on the paper
bye
Pls help 10 ptsssssssssssss
NO LINKS
I MEAN IT I WILL FLAG YOU
Answer:
20
Step-by-step explanation:
its is 20 for both because the 0 and 20 are the same.
Each of 6 students reported the number of movies they saw in the past year. This is what they reported:
6, 15, 7, 16, 19, 12
Find the median and mean number of movies that the students saw.
If necessary, round your answers to the nearest tenth.
Median: movies
Х
5
?
Mean: I movies
Answer:
Median = 13.5
Mean = 12.5
Step-by-step explanation:
Which graph represents the solution set of the inequality x+2267
-1 0
3
.
10
9 -
1
3
5.
B
O +
-6--4--221
0
1
3
15
-6
1
10
1
Answer: D
Step-by-step explanation:
Multiply (3x - 2)(4x - 7).
7x² - 13x+5
B)
7x2 - 29x + 14
C)
12x2 - 13x + 14
D)
12x2 - 29x + 14
Answer:
D
Step-by-step explanation:
...............
.
....
Step-by-step explanation:
[tex] \tt \mapsto \:(3x - 2)(4x - 7) \\ \tt \mapsto \:3x(4x - 7) - 2(4x - 7) \\ \tt \mapsto \: {12x}^{2} - 21x - 8x + 14 \\ \tt \mapsto \: {12x}^{2} - 29x + 14[/tex]
Option D is correct
Write each percent as a common fraction
16 2/3
9514 1404 393
Answer:
1/6
Step-by-step explanation:
16 2/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6
X2
2
ab
ab to
b
The diagian
K
n shows
rectangle. The shade
Find x.
Answer:
x = 28 cm
Step-by-step explanation:
Given:
Area of link shaded regions = 84 cm²
Required:
The value of x (diameter of the semicircle/length of the rectangle)
Solution:
Diameter of the semicircle = 2r = x
Length of rectangle (L) = 2r = x
Radius of semicircle (r) = ½x
Width of rectangle (W) = radius of semicircle = ½x
Use 3.14 as π
Area of the link shaded regions = area of rectangle - area of semicircle
Thus:
Area of the link shaded regions = (L*W) - (½*πr²)
Plug in the values
84 = (x*½x) - (½*3.14*(½x)²)
84 = x²/2 - (1.57*x²/4)
84 = x²(½ - 1.57/4)
84 = x²(0.5 - 0.3925)
84 = x²(0.1075)
Divide both sides by 0.1075
84/0.1075 = x²
781.4 = x²
√781.4 = x
27.9535329 = x
x = 28 cm
You find a mutual fund that offers approximately 6% APR compounded
monthly. You will invest enough each month so that you will have $1000 at
the end of the year. How much money will you have invested in total after 1
year?
O A. $711.32
O B. $994.60
O c. $912.86
O D. $972.84
$972.84 is invested in total after 1 year.
Correct option is (D)
What is compound interest?Compound interest is generally understood to be interest that is earned on both the original investment and any subsequent interest. Compound interest is, thus, the interest earned on both the initial principal and the interest that has already been accrued on this principal.
As per the given data:
Compounding frequency (n) = 12
Final value (FV) = $1000
Time period (t) = 12 months = 1 year
[tex]FV = P(1+\frac{r}{n})^{nt}[/tex]
FV – Future worth of the investment is the final balance in our calculation.
P – Initial balance (the value of the investment);
r – Annual interest rate (in decimal);
n – Number of times the interest is compounded per year (compounding frequency); and
t – Numbers of years the money is invested for.
Substituting the given values
[tex]1000 = P(1+\frac{0.06}{12})^{12 \times 1}[/tex]
[tex]P = \$ 972.84[/tex]
Hence, $972.84 is invested in total after 1 year.
To learn more about compound interest, click:
brainly.com/question/13155407
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A fair coin is tossed three times. What is the probability of getting at least two heads?
Help ASAP WILL GIVE BRAINLY!!
Need help on all answers/ show work
Answer:
Jdjdkdjdjdjdjfjfjdjfjdkdjdjdjdjdjdjdjfjjff
Using the gross profit method, find the estimated cost of goods sold for the following data and
net sales value of $600.00 to estimate inventory if gross profit on sales is 30 percent.
• January 1 inventory: 320 serving trays purchased at $1.50 per unit cost
• April 1 inventory: 300 serving trays purchased at $1.10 per unit cost
• July 1 inventory: 100 serving trays purchased at $2.00 per unit cost
O $1,010.00
O $420.00
O $200.00
O $330.00
Answer:
$420.00
Step-by-step explanation:
Find the value of the tangent for ZA.
40 in
12 in
391
CH
91
91
10
b.
3
d.
1091
3
10
Please select the best answer from the choices provided
Answer:
a
Step-by-step explanation:
a
kamal earned a total of $32500 in 2017
he paid 9% of his amount into his pension
he paid 22% tax on the remainder of his earings
what is the amount left after paying his pension and his tax???
need the working.
$32500 * 0.09 = 2925
32500-2925 = 29575
29575 * 0.22 = 6506.5
Amount left: 29575 - 6506.5 = 23068.5
Find the value of x.
Answer:
[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]
3.04 divided by 0.04
Answer:
76
Step-by-step explanation:
3.04/ 0.04=76
Write the opposite of the situation:
8 yd. gain in foot ball
pls help will give brainiest for fast and correct answer
1
Answer:
-8 yd. lost in football
Step-by-step explanation:
-picture linked-
ILL MARK BRAINLIEST
PLEASE HELP ME ASAP
Answer:
a
Step-by-step explanation:
Answer this question pls!! (Will give Brainliest)
Answer:
22
Step-by-step explanation:
C=2πr
[tex]C=2*3\frac{1}{2} *\frac{22}{7} =2*\frac{7}{2} *\frac{22}{7} =22[/tex]
The length, l, that a spring is stretched varies directly as the amount of force, F, applied to the end of the spring. When a force of 10 pounds is applied to a spring, it stretches 3 inches. How much will the same spring stretch if the force is increased to 15 pounds?
A.
8 inches
B.
7.5 inches
C.
4.5 inches
D.
2 inches
Answer:
C. 4.5 inches
Step-by-step explanation:
Given the following data;
Force, F = 10 pounds
Extension, e = 3 inches
First of all, we would determine the spring constant (k) using the following formula;
Force = spring constant * extension
10 = spring constant * 3
Spring constant = 10/3
Spring constant = 3.33 pounds per inches.
Next, we would find the extension of the spring when a force of 15 pounds is applied;
F = ke
15 = 3.33 * e
Extension, e = 15/3.33
Extension, e = 4.5 inches.
What is an equation of the line that passes through the points (4, -1) and
(-8, –7)?
Answer:
y=1/2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-(-1))/(-8-4)
m=(-7+1)/-12
m=-6/-12
m=1/2
y-y1=m(x-x1)
y-(-1)=1/2(x-4)
y+1=1/2x-4/2
y=1/2x-2-1
y=1/2x-3