Answer:
48.3
Step-by-step explanation:
since b = 9 and c = 4
9 x 4 = 36 and 36 + 12.3 = 48.3
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Showthat (1+i)2 = 2i
Answer:
(1+i)2=2i
Step-by-step explanation:
Since the 2 is on the outside of the) then that means it is multiplying and if you multiply 1x2 it will equal.2
Then if you were to multiply 2 x the i it will get 2i then you add it to get 2i
Answer:
Use formula (a + b)² = a² + 2ab + b²
(1 + i)² =1² + 2*1*i + i² =1 + 2i + (-1) =2iConvert 5700 milligrams into pounds. Round your answer to the nearest hundredth.
The value of the 5,700 milligrams in pounds is approximately 0.01 lb
What is a unit of measurement?A unit of measurement is a specified magnitude of a quantity that is accepted and adopted by convention or backed by law, and used as a measurement standard.
In other to successfully convert a quantity in one unit to another unit, both units (initial and destination unit) should refer to the same characteristics of the object being measured.
Once both units are confirmed to refer to the same quantity, conversion factors are used to multiply the quantity in the first unit in order to express it in the other unit.
The given parameters are;
The quantity to be converted to pounds = 5,700 milligrams
The factor of conversion is 1,000 mg ≈ [tex]2.205 \times 10^{-6}[/tex] lb
Therefore;
[tex]5,700\: mg = 5,700 \times 2.205 \times 10^(-3) ≈ 0.0126[/tex]
Therefore, to the nearest hundredth, we have;
5,700 mg ≈ 0.01 lb
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what is the solution for x in the question? -4 +5x-7 =10+3x-2x
x =4/13
x =4/21
x =21/4
x =13/4
Answer:
x= 21/4
Step-by-step explanation:
have a good day
NEED ANSWER ASAP! CORRECT ANSWER GETS BRAINLIEST!
An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long it will take for the tank to fill completely?
1 over 12 ⋅ 3 hours
1 over 3 ⋅ 12 hours
1 over 3 ⋅ 1 over 12 hour
3 ⋅ 12 hours
Answer:
4 hours
Step-by-step explanation:
1/12 time what equals 1? 12 so do it to the other equation and simplify 12/3 to get 4.
(a)
Evaluate each of the following:
(i)
10! X 20!
17! X 9!
Answer:
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Step-by-step explanation:
1)
Given the expression
[tex]10!\times \:20![/tex]
[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]
[tex]10!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10[/tex]
[tex]20!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]
Now, multiplying the result
[tex]10!\times \:20!= 1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]
so
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
Thus, we conclude that:
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
2)
Given the expression
[tex]17!\:\times \:9![/tex]
[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]
[tex]17!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17[/tex]
[tex]9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]
Now, multiplying the result
[tex]17!\:\times \:9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]
so
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Thus, we conclude that:
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
How much simple interest does $5,000 earn in 4 years at an interest rate of 5%. Round to
the nearest cent.
Answer:
1000
Step-by-step explanation:
if i am on the computer for 5 hours every weekday for a year how long am i on the computer?
Answer: 300
Step-by-step explanation:
You are on the computer 5 hrs/per weekday, 25 hrs per week, 1300 hrs per year
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Kennan graphed the location of several places in his town on the coordinate plane shown below. Determine if each statement about Kennan's graph is true or false. True False The library is 555 units from the yyy-axis. The school is located at (0,6)(0,6)left parenthesis, 0, comma, 6, right parenthesis.
Answer:
Concept: Graph Analysis
The library is 5 units to the left from the y-axis hence the statement is TrueThe School is not located at (0,6) it is located at (6,0) hence the statement is FalseThe director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750. a) Develop the appropriate null and alternative hypotheses. b) Assuming the standard deviation is known to be $2,500 and the significance level for the test is to be 0.05, what is the t-statistic
Answer:
The test statistics is [tex]z = -1[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The null hypothesis is [tex]H_o : \mu = \$30000[/tex]
The alternative hypothesis is [tex]H_a : \mu < \$ 30000[/tex]
The sample mean is [tex]\= x = \$29,750[/tex]
The standard deviation is [tex]\sigma = \$2,500[/tex]
The level of significance is [tex]\alpha =0.05[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{29750 - 30000 }{ \frac{ 2500}{ \sqrt{100} } }[/tex]
=> [tex]z = -1[/tex]
From the desired test, we have that:
a)
The null hypothesis is: [tex]H_0: \mu \geq 30000[/tex]The alternative hypothesis is: [tex]H_1: \mu < 30000[/tex]b) The t-statistic is t = -1.
Item a:
At the null hypothesis, we test if the average starting salary for clerical employees in the state is not less than $30,000, that is:
[tex]H_0: \mu \geq 30000[/tex]
At the alternative hypothesis, it is tested if the salary is less than $30,000, that is:
[tex]H_1: \mu < 30000[/tex]
Item b:
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 29750, \mu = 30000, s = 2500, n = 100[/tex]
Hence, the t-statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{29750 - 30000}{\frac{2500}{\sqrt{100}}}[/tex]
[tex]t = -1[/tex]
The t-statistic is t = -1.
A similar problem is given at https://brainly.com/question/13873630
Solve using substitution.
- x - y = -1
X = 2
Answer:
x = 2
y = -1
Step-by-step explanation:
-(2) - y = -1
add 2
-y = 1
divide by -1
y = -1
which transformation is happening in the image below
Answer:
a
Step-by-step explanation:
Mrs. Jagielski has $300 put aside for Christmas shopping. She spent 65% of her money on
Black Friday. How much money does she have LEFT to keep shopping with? *
Answer:
$195
Step-by-step explanation:
$300*.65 (your precent turns to a decimal) = $195 left
Help please help I’ll give brainliest
Answer:
108
Step-by-step explanation:
======================================
Explanation:
Rotate the arrow so that it is pointing up.
Draw a line separating the arrow into a triangle up top and a rectangle below that.
The rectangular portion has area of 6*4 = 24 square units.
-----------------
The triangular portion up to has area of
0.5*(base)*(height) = 0.5*(4+4+4)*(15-6) = 54
The base is 4+4+4 due to the '4's along the bottom of the triangle. The middle 4 might be the trickiest to spot, but keep in mind that rectangles have opposite sides that are the same length.
The height of the triangle is 15-6 since we start with an overall height of 15, and then subtract off 6 (which was the height of the rectangle).
-----------------
Once you know the areas of the triangle and rectangle, you add them up to get 54+24 = 78 square units.
The value 14 along the diagonal portions of the triangle isn't used. This information is probably put in to distract or trick students. However, if you needed to find the perimeter, then you will use the 14's.
Why are these triangles similar?
Answer:
sas
Step-by-step explanation:
n order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? --> It must be
Complete Question
In order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? -->
It must be that the resulting P-value must be
A) Greater than 0.2
B) Between 0.19 and 0.10
C) Between 0.09 and .05
D) Between .049 and .02
E) Less than 0.02
Answer:
The correct option is B
Step-by-step explanation:
From the question we are told that
The mean of sample 1 is [tex]\= x_1 = 10[/tex]
The standard deviation is [tex]s_1 = 6[/tex]
The mean of sample two is [tex]\= x_2 = 16[/tex]
The standard deviation is [tex]s_2= 4[/tex]
The sample size for both samples is [tex]n_1 = n_2 = n = 6[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 \ne \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x_1 - \= x_2 }{ \sqrt{ \frac{s^2_1}{n_1} +\frac{s^2_1}{n_2} } }[/tex]
=> [tex]z = \frac{ 10 - 16 }{ \sqrt{ \frac{6^2}{6} +\frac{4^2}{6} } }[/tex]
=> [tex]z = -1.3646[/tex]
From the z table the area under the normal curve to the left corresponding to -1.3646 is
[tex]P(Z < -1.3646) = 0.086189[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 P(Z < -1.3646)[/tex]
=> [tex]p-value = 0.086189 * 2[/tex]
=> [tex]p-value = 0.1724[/tex]
So the p-value is Between 0.19 and 0.10
Which of the following would you expect to find on a monthly account statement? a. A new set of checks and deposit slips for the coming month. b. A list of credits and debits made during the period. c. A comparison of ending balances for the past 12 months. d. A tally of all credits and debits in the account’s history.
Answer:
b. A list of credits and debits made during the period.
Step-by-step explanation:
Edge 2021
On a monthly account statement, what you are expected to find is a A list of credits and debits made during the period.
What is a monthly account statement?This can be referred to as a statement of the debits and the credits that occurred in a given period of one month.
The account statement is a statement of the transactions that have occurred in an establishment over a period.
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please help
An auditorium sold 500 tickets for a play and raised $3400. Let x represent the number of adult tickets sold at $8 each and let y represent the number of student tickets sold at $5 each. Write and solve a system of equations to determine the number of adult tickets and the number of student tickets that were sold.
Answer:
answer is attached in the figure below hope it helps please mark it as brainlist
a(x) = 5x – 2
a(m – 3) = ?
Answer:
a(m - 3)=5m - 17
Step-by-step explanation:
Hope this helps
x - 2y =0
3x + y = 0
solve using the substitution method
to solve the linear system
Answer:
x=0, y=0
Step-by-step explanation:
① Label the 2 given equations.
x -2y= 0 -----(1)
3x +y= 0 -----(2)
② Make x the subject of formula in equation (1).
From (1): x= 2y -----(3)
③ Substitute equation (3) into (2):
3(2y) +y= 0
Expand:
6y +y= 0
Simplify:
7y= 0
y= 0
④ Find x.
Subst. y=0 into (3):
x= 2(0)
x= 0
Write an inequality. Marianda is packing eggs in cartons. Each carton holds 12 eggs. She has already filled 3 cartons. How many more eggs does she need to fill at least 17 cartons?
14 x 12= 168. (she already filled 3 cartons. so, 17-3 =14.) she needs 168 eggs to fill the other 14 cartons.
r6 = 6 + 40 solve for r
Solve for x = X-16/x+6= 3/5
Answer:
-16/29
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
i did the test
18. Find the missing length indicated.
Find HJ
x+27
X+ 17
Answer:
The answer ia -30. Hope i help
Answer:
The answer is 30 hope it helps
I need help on both these questions
If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?
Answer:
7040 Yards
Step-by-step explanation:
First, you have to divide 5280 by 3, to get 1760 yards
Then you have to multiply 1760 by 4
Finally, you should get the answer of 7040 yards :D
Answer:
The other person who answered it already explained it but the answer is 7,040
Step-by-step explanation:
The average amount of money spent for lunch per person in the college cafeteria is $6.35 and the standard deviation is $2.31. Suppose that 41 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.
What is the distribution of X?X ~ N(,)
What is the distribution of x¯? x¯ ~ N(,)
For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.1605 and $6.757.
For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.
Answer:
(6.35, 5.34)
(6.35, 0.99)
0.10253
0.3984
Step-by-step explanation:
Given that :
μ = 6.35
σ = 2.31
n = 41
What is the distribution of X?X ~ N(,)
X :
Mean of distribution = μ= 6.35
The variance = σ^2 = 2.31^2 = 5.3361 = 5.34
X ~ N = (6.35, 5.34)
What is the distribution of x¯? x¯ ~ N(,)
The mean = μ = 6.35
The standard deviation of the mean = σ/sqrt(n) = 6.35/sqrt(41) = 0.9917 = 0.99
X ~N = (6.35, 0.99)
find the probability that this patron's lunch cost is between $6.1605 and $6.757.
P(6.1605 < x < 6.757)
Obtain the standardized scores:
Z = (x - μ) / σ ; (6.1605 - 6.35) / 2.31 = - 0.082
P(Z < - 0.082) = 0.46732 (Z probability calculator)
(6.757 - 6.35) / 2.31 = 0.176
P(Z < 0.176) = 0.56985 (Z probability calculator)
P(Z < 0.176) -P(Z < - 0.082)
0.56985 - 0.46732 = 0.10253
For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.
P(6.1605 < x < 6.757) ; n = 17
Obtain the standardized scores:
Z = (x - μ) / σ/sqrt(n) ; (6.1605 - 6.35) / 2.31/sqrt(17) = - 0.338
P(Z < - 0.338) = 0.36768 (Z probability calculator)
(6.757 - 6.35) / 2.31/sqrt(17) = 0.726
P(Z < 0.726) = 0.76608 (Z probability calculator)
P(Z < 0.726) -P(Z < - 0.338)
0.76608 - 0.36768 = 0.3984
Answer:
he did a good job
Step-by-step explanation:
If Zuri continues to travel at 0.2 miles per minute. how far will she travel in one hour?
Answer:
1.2 miles yr welcome
A dozen is how much in maths?
Answer:
well for me it's
Step-by-step explanation:
12
But a german dozen is 13
please give me brainlest
A 15-foot statue casts a 20-foot shadow. How tall is a person who casts a 4-foot-long shadow?
Answer:
3 ft.
Step-by-step explanation:
15:20 and x:4 you can cross multiply or if you reduce 15:20, the answer is 3:4
A department store buys200 shirts at a cost of $ 5400 and sells them at a selling price of $30 each. Find the percent markup
200 shirts x $30 = $6000
Total sales would be $6000
Profit = 6000 - 5400 = $600
Divide profit by cost:
600/5400 = 0.1111
Multiply by 100 for percentage:
0.111 x 100 = 11.1%
Rounding to nearest percent would be 11% markup
Answer:
is it 2.00?
Step-by-step explanation: