Answer:
ALL of themStep-by-step explanation:
Hope this helps!The correct answer by using divisibility rules is:
a) Exactly one of these statements is false.
Statement 1: If two numbers are co-primes, at least one of them must be prime.
This statement is true. Two numbers are considered co-prime if their greatest common divisor (GCD) is 1. If both numbers are not prime, it means they have factors other than 1 and themselves. In that case, their GCD would be greater than 1, contradicting the definition of co-prime numbers. Therefore, at least one of the two co-prime numbers must be prime.
Statement 2: If a number exactly divides two numbers, then it must also divide their sum.
This statement is false. Just because a number divides two other numbers, it does not necessarily mean that it will divide their sum. For example, consider the numbers 6, 8, and 14. 6 and 8 are both divisible by 2, but their sum, 14, is not divisible by 2.
Based on the analysis above, exactly one of these statements is false.
Therefore, the correct answer by using divisibility rules is:
a) Exactly one of these statements is false.
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In the United States, birth weights of newborn babies are approximately normally distributed with a mean of ? = 3,500 g and a standard deviation of ? = 500 g. According to the empirical rule, 68% of all newborn babies in the United States weigh between and .
Answer:
3000 and 4000
95% of all newborn babies in the United States weigh between *2500g and 4500g*
99.7% of all newborn babies in the United States weigh between *2,000g and 5,000g*
Step-by-step explanation:
Using the Empirical Rule, it is found that 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.
What is the Empirical Rule?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, the mean is of 3,500 g with a standard deviation of 500 g, hence:
3500 - 500 = 3,000 g.
3500 + 500 = 4,000 g.
Hence, 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
2/3=(1/2)/x solve for x
Answer:
x=3/4
Step-by-step explanation:
Look at the picture so you understand how To solve it.
What is the area of triangle DEF? Triangle D E F has a base of 42 centimeters and a height of 28 centimeters. The other sides have lengths of 35 centimeters.
Answer:
The area of triangle DEF is 588 cm²
Step-by-step explanation:
Given;
triangle DEF with base, b = 42 centimeters
triangle DEF with height, h = 28 centimeters
triangle DEF other side length, L = 35 centimeters
Area of a triangle is half of the product of the triangle base and height.
Represented in formula as;
A = ¹/₂bh
where;
b is the base of the triangle
h is the height of the triangle
A = ¹/₂ x 42 x 28
A = 588 cm²
Therefore the area of triangle DEF is 588 cm²
Answer:
588
Step-by-step explanation:
Drag each capacity to match it to an equivalent capacity.
8L
80 mL
0.08 L
800 mL
Capacity
Equivalent Capacity
0.08 L
8,000 mL
0.8 L
80 mL
who is the best rapper
Answer:
Eminem.
Rakim.
Nas.
Andre 3000.
Lauryn Hill.
Ghostface Killah.
Kendrick Lamar.
Lil Wayne
Step-by-step explanation:
Answer:
Logic
Step-by-step explanation:
WILL GIVE BRAINLEST!! We roll a fair 6-sided die 5 times. What is the probability that we get an odd number in exactly 4 of the 5 rolls?
Find the area of the shaded regions:
The pink is the shaded region.
40π
You dont need paper hw since we're in quarantine
Answer:40
Step-by-step explanation:
If (1)=3 and f(n)=f(n-1)-1 then find the value of f(6)
Answer:
f(1) = 3
f(n) = f(n-1) - 1
Otherwise,
f(n) = f(1) - (n-1)
=> f(6) = 3 - 5 = -2
Hope this helps!
:)
PLEASE HELP I NEED THIS image below
Answer:
64
Step-by-step explanation:
You need to do 4*4*4 to get your answer.
Hope this helps.
Answer:
64
Step-by-step explanation:
Because 4×4 is 16 and 16 ×4 is 64
Find two numbers, if their sum is 49 and their difference is 1/2 .
This question is for my little sister who needs help with her Math.
I'm too busy to help.
Answer: 49.5 and -0.5
Step-by-step explanation:
a + b =49
a - b = 0.5
a= 49.5
b= -0.5
The two numbers are approximately 24.25 and 24.75.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
Let's call the two numbers x and y.
According to the problem, we have two equations:
x + y = 49 (since their sum is 49)
x - y = 1/2 (since their difference is 1/2)
We can solve this system of equations using the method of substitution.
First, we can rearrange the second equation to solve for one of the variables in terms of the other:
x - y = 1/2
x = y + 1/2
Now we can substitute this expression for x into the first equation:
(y + 1/2) + y = 49
2y + 1/2 = 49
2y = 48.5
y = 24.25
Now we can use this value of y to solve for x:
x = y + 1/2 = 24.25 + 1/2 = 24.75
Therefore, the two numbers are approximately 24.25 and 24.75.
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Which shape is NOTa trapezoid
Answer:
The bottom left
Step-by-step explanation:
it has no pairs of parallel sides
Answer:
Step-by-step explanation:
Trapezoid should have a pair of parallel lines.
Bottom left figures does not have parallel lines. So it is not a trapezoid.
Write the equation of a line that passes through the point (4, 2) and is parallel to the line graphed below.
Answer:
Step-by-step explanation:
(-2, 2) (2, -3)
(-3 - 2)/(2 + 2)
-5/4 the slope
y - 2 = -5/4(x + 2)
y - 2 = -5/4x - 5/2
y- 4/2 = -5/4x - 5/2
y = -5/4x - 1/2
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
the right answer is : A
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
im smort
A group of friends is addressing wedding invitations. Casey can address 20 envelopes in one hour, Anne can address 44 envelopes in two hours, and Paula can address 68 envelopes in three hours. About how long will it take them to address 400 envelopes?
Answer:
Time taken = 6.2 hours
Step-by-step explanation:
Firstly, we will calculate the rate of each person per hour. Then we combine the rates and afterward divide the number of envelope they could address by the combined rate.
Casey can address 20 envelopes at the rate of 20 per hour.
Casey rate = 20 envelope per hr
Anne can address 44 envelope in 2 hours
Anne rate = 22 envelope per hr
Paula can address 68 envelope in 3 hours
Paula rate = 68/3 envelope per hr
Time it will take them to address 400 envelope can be solved below
Add their rate = 20 + 22 + 68/3 = 42 + 68/3 = (126 + 68)/3 = 194/3
Time = 400 ÷ 194/3 = 400 × 3/194 = 1200/194 = 6.1855670103
Time taken = 6.2 hours
−3x+7y=5x+2yminus, 3, x, plus, 7, y, equals, 5, x, plus, 2, y Complete the missing value in the solution to the equation. (−5,(-5,(−5,left parenthesis, minus, 5, comma )))right parenthesis
Answer:
[tex](-5,-8).[/tex]
Step-by-step explanation:
Given the equation
[tex]-3x+7y=5x+2y[/tex]
We need to find the missing value of the coordinate; (-5, __)
First, we collect like terms
[tex]-3x-5x=2y-7y\\\\-8x=-5y[/tex]
When x=-5
[tex]-8*-5=-5y\\\\40=-5y[/tex]
Dividing both sides by -5
[tex]y=-8[/tex]
The missing value of the coordinate (-5,y) is -8.
Thus, the complete solution to the equation is [tex](-5,-8).[/tex]
A bag contains 3 red balls and two blue balls. A ball is taken out random from the bag and then put back. A second ball has been taken out of the bag. What is the probability that: (a) both balls are red, (c)b both balls are the same color, (c) at least one of the balls is red. Answer
Answer:
a . 9/25
b. 13/25
c. 3/5
Step-by-step explanation:
Firstly, we add the number of balls to get the total number of balls = 3 + 2 = 5 balls
P(R) = number of red/total number of balls = 3/5
P(B) = number of blue/total number of balls = 2/5
Since the experiment is with replacement, whatever ball picked would be returned
a. Probability of both balls being red = P(R) * P(R) = 3/5 * 3/5 = 9/25
b. Probability of both balls being same color;
That is : probability of both balls being red or both being blue
Mathematically that would be;
P(R) * P(R) or P(B) * P(B)
whenever we have or in probability, what we do is to add ;
= (3/5 * 3/5) + (2/5 * 2/5) = 9/25 + 4/25 = 13/25
C. at least one of the balls is red
what this means is that both are red or one of the two is red.
Mathematically;
P(R) * P(R) or P(B) * P(R)
= (3/5 * 3/5) + (3/5 * 2/5)
= 9/25 + 6/25 = 15/25 = 3/5
A brand of uncooked spaghetti comes in a box that is a rectangular prism with the length of 8 inches width of 2 inches and the height of 1 1/2 inches what is the surface area
Answer:
176
Step-by-step explanation:
number 19 very much need the answer please
Answer:
D not possible.........
Please help meeeee
What are the key aspects of the graph of f(x) = x^2-b^2
where b is a real number?
Answer:
the graph has opposite x intercepts of b and -b. the graph has y intercepts at –b². the graph of the function symmetrical about the y-axis.
Step-by-step explanation:
4: From each corner of a square table a quarter of a circle is cut off. The sides of the square table are 5 cm. Each of the circular parts have a radius of 1 cm. Find the area of the shaded part of the square table in cm2.
The figures were not drawn to scale.
Answer: (25 – π)
Find the area of a triangle whose sides are 12 cm 6 cm and 14 cm
Answer:
32
Step-by-step explanation:
add 12 + 6 + 14
4 3/10 - ( 2 2/5x+ 5 1/2) = 1/2(-3 3/5x + 1 1/5)
Answer:
x = -223/11 = -20.273
Step-by-step explanation:
Step 1 : Simplify: 11/5
Step 2: Simplify 33/5
Step 3 :
Adding fractions which have a common denominator
Step 4: Simplify: 1/2
Step 5 : see below
Step 6 : see below
Pulling out like terms/factors
Step 7 : Simplify: 51/2
Step 8: Simplify: 22/5
Step 10: Simplify: 43/10
Step 9 :
Calculating the Least Common Multiple
Step 11 :
Adding fractions which have a common denominator
Done.
Hope this helps.
Can anyone help me fix the mistakes i made? I will give you brainiest if you do and the teacher tells me its correct.
Answers:
#1: infinite solutions; #2: no solutions
Step-by-step explanations:
Steps for #1
3(2x+7)=13+4(x+2)+2x
6x+21=13+4x+8+2x
6x+21=21+6x
6x=6x
x=x
After completing the steps to find the value of x using Order of Operations, we see that in the end, the answer we have is x=x. We can easily conclude that x is equal to any number because the final answer in this exercise is always whatever the value of x is. For example, if x=4, our final answer would be 4.
Steps for #2
5(6x+8)=9x-10+21x
30x+40=30x-10
40=-10
Here, we see that once we've completed the steps using the Order of Operations, we come out with the answer 40=-10, which is not true on any terms. Therefore we can simply conclude that the answer for #2 is "no solutions."
If you have any trouble figuring out how I got my answers, please refer back to the steps I used to get the answers.
Thank you!
Suppose the diameter of a circle is 6 units. What is its circumference?
If the diameter of a circle is 6 units, it's radius would be half that, that is 3 units.
Circumference = [tex]2\pi r[/tex] = 2 x 3.14 x 3 = 18.84 units
A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs washed in the past 3 hours. The total earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV costs the same price. The system of equations can be used to represent the situation.
In the system of equations, x represents the, _____and y represents the_____.
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are______.
The total cost of 1 car and 1 SUV is $_____.
The total earnings for hour 3 are $______.
Chart:
Hours | Number of Cars | Number of SUVs | Total Earnings of Hour ($) |
1 4 2 84
2 3 5 126
3 5 4 ?
4x + 2y = 84
3x + 5y = 126
Answer:
1. cost of each car
2. cost of each SUV
3. (12,18)
4. $30
5. $132
Step-by-step explanation:
In the system of equations,x represents the cost of each car and y represents the cost of each SUV
If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are (12,18)
The total cost of 1 car and 1 SUV is $30
The total earnings for hour 3 are $132
factorise : x^2y^2-16
Answer:
(xy - 4)(xy + 4)
Step-by-step explanation:
x²y² - 16 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x²y² - 16
= (xy)² - 4²
= (xy - 4)(xy + 4)
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hundredth. Two cylinders. The circumference of the base of cylinder A is 3 meters and the height of the cylinder is 5 meters. The circumference of the base of cylinder B is 5 meters and the height of the cylinder is 3 meters. Cylinder A has a volume of m3, and Cylinder B has a volume of m3. Cylinder has the greater volume.
Answer:
Cylinder A has a volume of [tex]3.58 m^3[/tex], Cylinder B has a volume of [tex]9.92 m^3.[/tex]Cylinder B has a greater volume.Step-by-step explanation:
Cylinder A
Base Circumference=3 meters
[tex]2\pi r =3\\r=\frac{3}{2\pi}[/tex]
Height=5 meters.
Volume [tex]=\pi r^2 h[/tex]
[tex]=\pi (\frac{3}{2\pi})^2 X5\\=\frac{9X5}{4\pi}\\\\=\frac{9X5}{4*3.14}\\\\=3.58m^3[/tex]
Cylinder A
Base Circumference=5 meters
[tex]2\pi r =5\\r=\frac{5}{2\pi}[/tex]
Height=3 meters.
Volume [tex]=\pi r^2 h[/tex]
[tex]=\pi (\frac{5}{2\pi})^2 X5\\=\frac{25X5}{4\pi}\\\\=\frac{25X5}{4*3.14}\\\\=9.92m^3[/tex]
Cylinder A has a volume of [tex]3.58 m^3[/tex], and Cylinder B has a volume of [tex]9.92 m^3.[/tex]
Cylinder B has a greater volume.
A number is randomly choose between one and 99. What is the probability that the number is not in multiple of nine
Answer:
8/9
Step-by-step explanation:
The probability that the number chosen is a multiple of 9 is 1/9, so the probability that it isn't a multiple of 9 is 1 - (1/9) = 8/9
A rectangular prism has the dimensions of 2in, 5in, and 7in. What is the volume of the prism?
There different ways to think about 1 3/8- 1/1/8. Select three ways to find it
Answer:
1. 1 3/8- 1 /1/8
2. 11/8- 9/8
3. 1 3/8- 9/8
Step-by-step explanation:
