Answer:
SA=571.77
Step-by-step explanation:
SA==2πrh+2πr2=2·π·7·6+2·π·72≈571.76986
pls mark brainliest
how do I get help answering math problems showing how to figure them out
Answer:
HI
Step-by-step explanation:
HI HI HI HI HI HI HI HI HI HI HI HI
Use a t-test to test the claim about the population mean at the given level of significance using the given sample statistics. Assume the population is normally distributed.
Claim: μ ≥8 300, α = 0.10
Sample statistics: x = 8000, s = 440, n = 24
A. What are the null and alternative hypotheses?
B. What is the value of the standardized test statistic?
C. What is the p-value?
D. Decide whether to reject or fail to reject the null hypothesis.
Answer:
A
The null hypothesis is \(H_o : \mu \ge 8300\)
The alternative hypothesis is \(H_a : \mu < 8300\)
B
\(t = -3.34\)
C
\(p-value = P(t< -3.34) = 0.00041889\)
D
reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 8300\)
The sample mean is \(\ = x = 8000\)
The standard deviation is \(s = 440\)
The sample size is \(n = 24\)
The level of significance is \(\alpha = 0.01\)
The null hypothesis is \(H_o : \mu \ge 8300\)
The alternative hypothesis is \(H_a : \mu < 8300\)
The test statistic is mathematically evaluated as
\(t = \frac{\= x - \mu }{ \frac{s}{\sqrt{n} } }\)
=> \(t = \frac{8000- 8300 }{ \frac{440}{\sqrt{24} } }\)
=> \(t = -3.34\)
The p-value is obtained from the z -table ( reference calculator dot net ) , the value is
\(p-value = P(t< -3.34) = 0.00041889\)
Looking at the values of \(p-value and \ \alpha\) we see that \(p-value < \alpha\) Hence we reject the null hypothesis
Which of the following has imaginary solutions?
x ^ 2 + 3x - 5 = 0
x ^ 4 - 5x ^ 2 + 3 = 0
2x ^ 2 - 6x = - 7
- 3x ^ 2 = - 5
2x² - 6x = -7 equation has imaginary solutions
To determine if an equation has imaginary solutions, we can examine the discriminant of the quadratic equation
x² + 3x - 5 = 0
a = 1, b = 3, c = -5
Discriminant = (3)² - 4(1)(-5) = 9 + 20 = 29
The equation has two real solutions
x⁴ - 5x ^ 2 + 3 = 0
This equation is a quartic equation, not a quadratic equation. Quartic equations can have both real and imaginary solutions
2x² - 6x = -7
2x^2 - 6x + 7 = 0
a = 2, b = -6, c = 7
Discriminant = (-6)²- 4(2)(7) = 36 - 56 = -20
Since the discriminant (-20) is negative, the equation has two complex (imaginary) solutions.
-3x² = -5
Dividing both sides by -3, we get:
x²= 5
a = 1, b = 0, c = -5
Discriminant = 0² - 4(1)(-5) = 20
The equation has two real solutions.
Hence, 2x² - 6x = -7 equation has imaginary solutions
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Can y’all please help me with this ! Everybody have a good day!
Answer: A. She substituted incorrectly into the distance formula
She should be subtracting x from x and y from y but she is subtracting y from x.
1)Twelve years ago Jane was five times as old as Anne. In three years time,Anne will be half Jane's age How old is each girl at the moment
Answer:
Step-by-step explanation:
Twelve years ago Jane was five times as old as Anne.
J-12=5(A-12)
In three years time, Anne will be half of Jane's age.
A+3=1/2(J+3)
Simplify and solve this system of equations:
J-12=5(A-12)
A+3=1/2(J+3)
what is the answer to x/3+8=-2
Answer:
x = - 30
Step-by-step explanation:
x/3 + 8 = - 2 subtract 8 from both sides of the equation
x/3 = -2 - 8 = -10 now multiply both sides by 3
x = -30
Which line is perpendicular to the line Y= -1/3x -2 and passes through the point (1,4)
Answer:
work is shown and pictured
Find the measure of an angle that is positive and less than 360° in standard position for each reference angle. 68° in quadrant II: 75° in quadrant IV: 22° in quadrant III:
Answer:
Step-by-step explanation:
Reference angle for 68° in QII = 180°-68° = 112°
Reference angle for 75° in QIV = 360°-75° = 285°
can someone help me with this?
What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
x^2+32+116=12x
Answer:
Below
Step-by-step explanation:
x^2 + 32 + 116 = 12x 1st intermediate step: put everything on one side
x^2 -12x + 148 = 0 2nd intermediate step : re-arrange with constant on R
x^2 -12x = -148 3 rd intermediate step : take 1/2 of the 'x' coefficient
square it and add to both sides
x^2 -12x + 36 = -148 + 36 4th intermediate step : simplify
(x-6)^2 = -112
Type < or > to make this statement true -a___-b
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
Can you help me solve this problem I know how to do the others but I can’t really figure this one out
We have an inequality, this inequality is as follows
\(4x\ge112\)To solve the inequality we must clear "x" and see what it tells us
\(\begin{gathered} x\ge\frac{112}{4} \\ x\ge28 \end{gathered}\)The inequality indicates that "x" belongs to the set of numbers equal to or greater than 28
Of the set of numbers we have, the only ones that meet this condition are numbers 28 and 33
In conclusion, Only options D and F are correct
What information is needed to show that △ ABC ≅ △ DEF by SAS congruence?
In order to show that △ ABC ≅ △ DEF by SAS congruence, we need the sides of triangles ABC and DEF with the angle between the respective sides.
What do we understand by congruency of a triangle?Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. "" is the congruence symbol. When two figures are comparable to one another in terms of their size and shape, this is what mathematicians mean by congruence. In essence, there are four congruence principles that demonstrate if two triangles are congruent. However, locating all six dimensions is essential. As a result, the congruence of triangles can be assessed using just three of the six variables.
Congruency Requirements:
SSS (Side-Side-Side)
SAS (Side-Angle-Side)
ASA (Angle-Side-Angle)
AAS (Angle-Angle-Side)
RHS (Right angle-Hypotenuse-Side)
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An equation is shown below: 5(3x − 15) + 16 = 5x + 11 Part A: Write the steps you will use to solve the equation, and explain each step. (8 points) Part B: What value of x makes the equation true? (2 points)
The result of the unknown variable x is equivalent to 7
Solving linear equationsLinear equations are equation that has a leading degree of 1. Given the expression below:
5(3x − 15) + 16 = 5x + 11
Expand the expression
5(3x) - 5(15) + 16 = 5x + 11
15x - 75 + 16 = 5x + 11
15x - 5x - 59 - 11 = 0
10x - 70 = 0
10x = 70
Divide both sides by 10
10x/10 = 70/10
x = 7
Hence the value of x makes the equation true is 7
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the level of temperature of liquid in a thermometer is 26.52'c lower than the boiling poin. of water. what is the thermometer reading
The thermometer reading would be 73.48°C.
The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.
100 - 26.52 = 73.48
Hence, the thermometer reading would be 73.48°C.
In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.
By subtracting 26.52 from 100, we obtain a reading of 73.48°C.
Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.
In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.
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Let X be a random variable that takes values from 0 to 9 with equal probability 1/10. Find the probability distribution of the random variable Y = X mod (4). Find the probability distribution of the random variable Y = 6 mod (X + 1). x mod y = remainder when x is divided by y.
The probability distribution of Y = X mod (4) is: 3/10, 3/10, 2/10, 2/10 and the probability distribution of Y = 6 mod (X + 1) is: 1/10, 1/10, 2/10, 1/10, 2/10, 2/10 , 1/10.
The probability distribution of Y = X mod (4) can be found as follows:
Y = 0, when X = 0, 4, 8
Y = 1, when X = 1, 5, 9
Y = 2, when X = 2, 6
Y = 3, when X = 3, 7
So, the probability distribution of Y = X mod (4) is:
Y = 0, P(Y = 0) = 3/10
Y = 1, P(Y = 1) = 3/10
Y = 2, P(Y = 2) = 2/10
Y = 3, P(Y = 3) = 2/10
The probability distribution of Y = 6 mod (X + 1) can be found as follows:
Y = 0, when X = 5
Y = 1, when X = 0
Y = 2, when X = 1, 6
Y = 3, when X = 2
Y = 4, when X = 3, 7
Y = 5, when X = 4, 8
Y = 6, when X = 9
So, the probability distribution of Y = 6 mod (X + 1) is:
Y = 0, P(Y = 0) = 1/10
Y = 1, P(Y = 1) = 1/10
Y = 2, P(Y = 2) = 2/10
Y = 3, P(Y = 3) = 1/10
Y = 4, P(Y = 4) = 2/10
Y = 5, P(Y = 5) = 2/10
Y = 6, P(Y = 6) = 1/10
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round the number shown to the underlined place value
9.954
Answer:
9
Step-by-step explanation:
Anything past the decimal point would be less than a whole. Anything before the decimal point is a whole number. Since 9 is before the decimal number, it is a whole number
Hope this Helps!
-kiniwih426
Andre wants to buy a new car. Gas is so expensive; Andre wants to purchase a
car that has the best gas millage rate.
•
Car 1 has gas mileage that can be described as y = 25x, where x is the
number of gallon of gas used and y is the total miles driven.
Car 2 has he gas mileage rate displayed in the table below.
Number of
Gallons of
Gas
2
5
7
8
11
60
150
210
240
330
Which car should Andre buy? How many more miles per gallon can he
drive in this car than the other car?
Answer: Andre should buy Car 2. Brainliest?
Step-by-step explanation:
To compare the gas mileage of the two cars, we need to find out how many miles each car can travel per gallon of gas.
For Car 1: y = 25x
This means that for every gallon of gas used (x), the car can travel 25 times that amount in miles (y). So, the gas mileage for Car 1 is 25 miles per gallon (mpg).
For Car 2: we can calculate the miles per gallon by dividing the total miles traveled by the number of gallons of gas used:
For 2 gallons of gas, the car can travel 60 miles. So, the gas mileage is 30 mpg (60 miles ÷ 2 gallons).
For 5 gallons of gas, the car can travel 150 miles. So, the gas mileage is 30 mpg (150 miles ÷ 5 gallons).
For 7 gallons of gas, the car can travel 210 miles. So, the gas mileage is 30 mpg (210 miles ÷ 7 gallons).
For 8 gallons of gas, the car can travel 240 miles. So, the gas mileage is 30 mpg (240 miles ÷ 8 gallons).
For 11 gallons of gas, the car can travel 330 miles. So, the gas mileage is 30 mpg (330 miles ÷ 11 gallons).
Therefore, Car 2 has a consistent gas mileage of 30 mpg.
From the above calculations, we can see that Car 2 has a better gas mileage compared to Car 1. Car 2 can travel 30 miles on a gallon of gas, while Car 1 can only travel 25 miles on a gallon of gas.
Therefore, Andre should buy Car 2 if he wants to get the best gas mileage. Car 2 can travel 5 more miles per gallon than Car 1.
Which of the following best explains why the best decision alternative is the one with the highest preference probability? It is a result of applying the five Rules of Actional Thought It corresponds to the alternative with the lowest probability of a good outcome. This corresponds to the alternative with the highest probability of getting a good outcome. None of the Above
Answer:
This best explains why the best decision alternative is the one with the highest preference probability:
This corresponds to the alternative with the highest probability of getting a good outcome.
Step-by-step explanation:
In making a decision under probability, it is the decision maker's preference probability that sways the choice. For the decision maker, therefore, the probability of getting a good outcome is always the preferred probability. So, any alternative that yields a good outcome for the decision maker is always chosen. And this usually corresponds to the alternative with the highest preference probability.
-5x-4=7(-7-7x)-x what would be the solution for x? and what steps would I use to solve it
the answer to x=45/45, x=1 We employ the factorization method in this.
What is the method of factorization?Factorization, also known as factoring, is the mathematical process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication yields the original number, matrix, etc. You will mostly learn this idea in your lower secondary classes from grades 6 to 8.
based on the provided statement
How would I approach solving it?
-5x-4=7(-7-7x)-x
-5x-4=-49-49x-x
49-4=-49x-x+5x
45=45x
so x=45/45
x =1
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10 Points if you answer this!!!!
Answer:
1 result(s) found
25
9⋅(r−25)
Step-by-step explanation:
A line slope is1 and its Y-intercept is -8. what is the equation in slope Internet form?
Step-by-step explanation:
the slope-intercept form is
y = ax + b
with "a" being the slope, and "b" being the y-intercept (the y- value when x = 0).
so, we have
y = x - 8
Use a model to find the missing value in the proportion.
A. 4
B. 5
C. 10
D. 22
Please select the best answer from the choices provided
OA
OB
O C
OD
The missing value in the proportion is C- 10
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that 2/5 = ?/25
Let x be the unknown number.
Here first we have the bottom half of type equation equal each other
5x=25 (2)
x= 25 (2) / 5
x = 5 (2)
x = 10
10 is the answer
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A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas to flour tortillas is 3:4. What is the ratio of flour tortillas
to total tortillas?
4:10
3:7
3:10
4:7
4:7
Step-by-step explanation:
The ratio of the number of corn tortillas to flour tortillas is 3:4. So this means there are at least 3 corn tortillas and 4 flour tortillas.
We need to add 3 and 4 to see the simplified total of tortillas. 3+4=7.
There is a total of 7 tortillas regardless of their type.
Now we just need to compare this with the number they already gave us for flour tortillas, which is 4.
4:7 or 4 flour:7 in total
The ratio of flour tortillas to total tortillas is 4:7.
14 students have volunteered for a committee. Eight of them are seniors and six of them are juniors. (a) How many ways are there to select a committee of 5 students
======================================================
Explanation:
We have five slots to fill, which I'll label A through E.
There are,
14 choices for slot A13 choices for slot B12 choices for slot C11 choices for slot D10 choices for slot EEach time we fill up a slot, we count down by 1.
This gives 14*13*12*11*10 = 240,240 different permutations. If order mattered, then this would be the answer.
However, order doesn't matter on a committee without rankings. Each member has the same rank as any other.
Within any group of 5 people, there are 5! = 5*4*3*2*1 = 120 ways to arrange them. This means we divide that 240,240 figure by 120 to find the number of combinations.
There are (240,240)/(120) = 2002 different combinations.
---------------------------------------
Here's how we could have done the problem using the nCr combination formula.
Plug in n = 14 and r = 5.
n C r = (n!)/(r!(n-r)!)
14 C 5 = (14!)/(5!*(14-5)!)
14 C 5 = (14!)/(5!*9!)
14 C 5 = (14*13*12*11*10*9!)/(5!*9!)
14 C 5 = (14*13*12*11*10)/(5!)
14 C 5 = (14*13*12*11*10)/(5*4*3*2*1)
14 C 5 = (240240)/(120)
14 C 5 = 2002
Answer 3 east questions on percentage for brainlist❤️
pls pls pls help!!!!
Determine the simple interest earned when $6, 100 is invested at a rate of 5% for 4 years.
$1,220
$305
$610
$1,525
Answer: I think A 1,220 (I'm not sure)
Step-by-step explanation:
the aswer is A.1,220 si think si correct.
a) The monthly basic salary of the married Chief of Army Staffs (COAS) General is Rs 79,200 with Rs 2,000 dearness allowance. He gets Dashain allowance which is equivalent to his basic salary of one month. He contributes 10% of his basic salary in Employee's Provident Fund (EPF) and he pays Rs 50,000 as the premium of his life insurance. Given that 1% social security tax is levied upon the income of Rs 6,00,000, 10% and 20% taxes are levied on the next incomes of Rs 2,00,000 and up to Rs 3,00,000 respectively. Answer the following questions. (i) What is his monthly basic salary? (ii) Find his taxable income.
(i). His monthly basic salary is Rs 79,200.
(ii) His taxable income is Rs 1,02,480.
(i) The monthly basic salary of the married COAS General is given as Rs 79,200, with an additional Rs 2,000 as a dearness allowance.
Total salary = Basic salary + Dearness allowance
Total salary = Rs 79,200 + Rs 2,000
Total salary = Rs 81,200
So his monthly basic salary is Rs 79,200.
(ii)
Total income = Basic salary + Dearness allowance + Dashain allowance
Total income = Rs 79,200 + Rs 2,000 + Rs 79,200
Total income = Rs 1,60,400
From this, we subtract his EPF contribution and life insurance premium:
Taxable income = Total income - EPF contribution - Life insurance premium
Taxable income = Rs 1,60,400 - 10% of Rs 79,200 - Rs 50,000
Taxable income = Rs 1,60,400 - Rs 7,920 - Rs 50,000
Taxable income = Rs 1,02,480
So his taxable income is Rs 1,02,480.
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Sets A and I are defined as follows. A = { − 1 , 0 , 1 , 2 , 4 , 6 , 7 } I = { − 2 , − 1 , 1 , 2 , 8 } Find the intersection of A and I
==========================================================
Explanation:
Start with set A and circle any value that you find in set I. Those values are -1, 1, and 2. These elements are found in both sets at the same time, hence they are in the intersection of set A and set I
Refer to the Venn diagram below. We have the values -1, 1, and 2 in the blue overlapped region. A value like 4 is only found in set A, so it's inside circle A, but outside circle I. On the flip side, a value like 8 is found outside of circle A but inside circle I.
The use of curly braces in the answer tells the reader we're dealing with a set of values. The order doesn't matter for any given set. Often it's helpful to put it in order from smallest to largest.
how to solve -2x+(-5) =3
Let's solve the equation:
\(\begin{gathered} -2x+(-5)=3 \\ -2x-5=3 \\ -5-3=2x \\ -8=2x \\ x=\frac{8}{-2} \\ x=-4 \end{gathered}\)therefore x=-4