Answer:
2h-2=92 and h-2=92-h.
Step-by-step explanation:
Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.
The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.
Combining like terms we would have the first correct choice, 2h-2=92.
Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.
The equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the age of Hannah be x. and Since the age of Hannah and Anthony are two consecutive odd integers, therefore, the age of Anthony will be (x+2).
As it is given that the sum of the ages of the two other person is 92, therefore, the equation that will represent the sum of the age of the two persons can be written as,
[tex]x+(x+2)=92\\\\x+x+2=92\\\\2x+2=92[/tex]
Thus, the equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.
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What is the product of 3 1/5 and 5/8 in simplest form
Answer:
2
Step-by-step explanation:
3 1/5 * 5/8
First, change 3 1/5 into an improper fraction.
3 1/5 = 16/5
Then, substitute it into the original equation.
16/5 * 5/8
Multiply the numerators and denominators.
16*5 / 5*8 = 80 / 40 = 2
In a data set with a normal distribution, the mean is 98 and the standard deviation is 12. About what percent of the data lie between 74 and 122?
Answer:
B. 95%
Step-by-step explanation:
The mean is in the middle and standard deviation is 12. So subtract 12 from 98 until you get to 74. That's two times. And two times/spaces to the left and right is 95% of the data.
The confidence interval is 95.45% of the data in the data set with a normal distribution
What is Confidence Interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval
Confidence Interval CI = x + z ( s/√n )
where x = mean
z = confidence level value
s = standard deviation
n = sample size
Given data ,
To find out what percent of the data lie between 74 and 122 in a normal distribution with a mean of 98 and a standard deviation of 12, we can use the empirical rule, also known as the 68-95-99.7 rule, which states that:
Approximately 68% of the data falls within one standard deviation of the mean
Approximately 95% of the data falls within two standard deviations of the mean
Approximately 99.7% of the data falls within three standard deviations of the mean
Based on this rule, we can estimate the percentage of data that lies between 74 and 122 as follows:
Calculate the z-scores for 74 and 122 using the formula: z = (X - mean) / standard deviation
For 74: z = (74 - 98) / 12 = -2
For 122: z = (122 - 98) / 12 = 2
Find the area under the normal curve between these two z-scores using a standard normal distribution table or a statistical calculator.
The area between z = -2 and z = 2 represents the percentage of data that lies between 74 and 122.
Using a standard normal distribution table, we can find that the area between z = -2 and z = 2 is approximately 0.9545 or 95.45%.
Hence , about 95.45% of the data in the data set with a normal distribution would be expected to lie between 74 and 122.
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I need someone to teach me how to solve this
Answer:
t + 40 = 90
Step-by-step explanation:
90 minutes volunteering
40 minutes delivering flowers
90 - 40 = number of minutes answering phone (50 minutes)
so, t = 90 - 40 or rearranged to t + 40 = 90
Jake’s water bill is $24.80 per month plus $2.20 per ccf (hundred cubic feet) of water. What is the maximum number of ccf Jake can use if he wants his bill to be no more than $60?
Answer:
60-24.80=35.20
35.20/2.20=16
16ccf
Step-by-step explanation:
the diameter of a circle is 19 meters complete the description of how you would find the circumference
Answer:
Then substitute 3.14 for pi and 19 for the diameter.
The image shows the circumference formula.
19/2=9.5
C = 2(9.5)times pi.
C = 19 times 3.14
3.14 times 19 ≈ 59.69
Select the correct answer.
Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.
A.
6x + 11
B.
3(x + 7)
C.
2(3x + 16)
D.
3x + 16
East Port Tier City is the capital city of Jeswia, a small island nation in the Indian Ocean. Joswlais
4.5 hours ahead of UTC and does not observe daylight oving time. What is the time difference
between East Port Tier City and Phoenix
East Port Tier City is
Phoenix
Lim
Answer:
East Port Tier City is 11.5 hours ahead of Phoenix.
Step-by-step explanation:
Given that the city of Phoenix, Arizona is located in the UTC -7 time zone, while East Port Tier City is located at UTC +4.5, to determine the time difference between the two cities, the following calculation must be performed:
4.5 - (-7) = X
4.5 + 7 = X
11.5 = X
Thus, the time difference between Phoenix and East Port Tier City is 11.5 hours.
y= -x^2+10x-25 in factored form and what is the x intercept
Step-by-step explanation:
X-intercept, y = 0
0 = -x² + 10x - 25
-x² + 10x - 25 = 0
-(x² - 10x + 25) = 0
x² - 10x + 25 = 0
(x - 5)(x - 5) = 0
x = 5
(5,0)
What is the area of this figure?
A 806.5
B 1159.5
C 2268.5
D 4174.5
Answer:
Step-by-step explanation:
A806.5
Answer:
806.5 answer
Step-by-step explanation:
Solve for all values of x by factoring. x^2 −2x−4= -2x+5
Answer:
-3 and 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]x^2-2x-4=-2x+5\\ \\ x^2-9\\ \\ (x+3)(x-3)[/tex]
Jose wrote the number 36 if his rule is at 6 what is the fourth number in Jose's pattern
Answer:
54
Step-by-step explanation:
1. 36
2. 42
3. 48
4. 54
Solve the equation 6X+2=74
What is 12 divided by 8
Answer:
1.5
Step-by-step explanation:
Answer:
1.5 is the answer
hope it helps!
Which graph represents the solution set for the inequality 7.5 < x?
Att +
-10-9-8-7 -6 -5 -4
+
-1 0
+
3 4
++++
7 8 9 10
-3-2
О
1
2.
5
6
-10-9-8-7 -6 -5 -4
LO
-32
-1
0 1
2
3
4
5
6
7 8 9 10
-3 -2 -1 0 1 2 3
-10-9-8-7 -6 -5 -4
4 5
6
7
8 9 10
AHHO++
-10-9-8-7 -6
-2
0 1
- 1
2
3
4
5
6
7
8 9 10
9514 1404 393
Answer:
(a)
Step-by-step explanation:
The appropriate graph is the one that has x-values greater than 7.5 shaded. That is the meaning of ...
7.5 < x
A spinner is divided into six equal-sized sectors labeled 1 through 6. Dwayne spins this spinner 12 times. Let X
represent the number of 1s that are spun. What are the mean and standard deviation of X?
O Wx = 1, 0x = 1.29
O x = 2,04 = 1.29
OH, = 2,0x = 1.67
O Mx = 10,0x = 2.78
Answer:
b) μ = 2 and σ = 1.29
Step-by-step explanation:
Step(i):-
Given that the A spinner is divided into six equal-sized sectors labelled 1 through 6
Given that the probability of labelled '1'
[tex]p = \frac{1}{6}[/tex] =0.16
q = 1-p = 1- 0.16 = 0.84
Let 'X' be a random variable in binomial distribution
The mean of the binomial distribution
μ = n p
μ = [tex]12 (\frac{1}{6} ) = 2[/tex]
The mean of the binomial distribution = 2
Step(ii):-
The standard deviation of X
σ [tex]= \sqrt{npq}[/tex]
σ = [tex]\sqrt{12(0.16)(0.84}[/tex]
σ = [tex]1.269[/tex]
The standard deviation of the binomial distribution
σ = [tex]1.269[/tex]
Answer:
b
Step-by-step explanation:
Please help me write the equation of a line that passes through the point ( -1, 5) and has a slope of -7
Answer:
y = -7x - 2
Step-by-step explanation:
use y = mx + b
y = y-coordinate = 5
m = slope = -7
x = x-coordinate = -1
b = y-intercept = the only missing piece/what we're solving
usually, for an equation, x and y stay as variables, but to find the y intercept we need to plug in the coordinates:
5 = (-7)(-1) + b multiply -7 and -1
5 = 7 + b subtract 7 from both sides
b = -2
plug b into the equation and leave x and y as variables:
y = -7x - 2
Haley and Lucas go to the candy store and each buy some candy. Haley buys c pieces of candy while Lucas bought 7c pieces. What information can we gather about the relationship between the number of pieces of candy Haley and Lucas bought?
A ratio shows us the number of times a number contains another number. Lucas buys 7 times the number of candies that Haley bought.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given Haley buys c pieces of candy while Lucas bought 7c pieces. Therefore, the number of candies bought by Haley and Lucas is in a ratio of 1:7.
It can also be concluded that the number of candies Lucas buy is 7 times of the number candies bought by Haley.
Hence, Lucas buys 7 times the number of candies that Haley bought.
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Definition: The number to which a base is raised to is called the___ this tells you how many times to multiply the base together
Answer:
power or give me the answer choices
Step-by-step explanation:
Find the product.
902 x 27
A. 18,054
B. 20,354
C. 25,254
D. 24,354
Solve for x
Your answer must be simplified.
x + 5 <_4
Answer:
x > 125
Step-by-step explanation:
Pre-Algebra
Order of Operations: PEMDAS
Equality Properties
Step-by-step explanation:
Step 1: Define inequality
x/25 > 5
Step 2: Solve for x
Multiply 25 on both sides: x > 125
Here we see that any number x greater than 125 would work as a solution.
solve by elimination
x+5y=-13
2x-5y=-20
Answer: x+5y=-13= (x=−5y−13)
2x-5y=-20= (x=5/2y-10)
Step-by-step explanation: The answers are labeled in parenthesis. According to my calculations, this is what I got. Sorry for any inconvenience.
Answer:
x+5y=-13 ......(1)
2x-5y=-20..........(2)
adding equation 1 and 2
x+5y+2x-5y=-13-20
3x=-33
x=-33/3=-11....answer
multiplying equation 1 by 2 and adding equation 1&2
2x+10y-2x-(-5y)=-26-(-20)
10y+5y=-26+20
15y=-6
y=-6/15=-2/5......answer
Please help me Answer this :)
( Will give brainlst!!)
<3
Answer:
C) Proton
D) Electron shell/ orbit
E) Neutron
Hope this will help you!
Answer:
proton
electron shells
neutron
what two letters don't appear on the telephone dial
Answer:
Step-by-step explanation:
Q and X
On a telephone dial, the letters "Q" and "Z" do not appear. The dial was designed to include commonly used letters and numbers, prioritizing efficiency and simplicity in dialing.
On a traditional telephone dial, there are two letters that do not appear:
The letter "Q" does not appear on the telephone dial. This omission is because the letter "Q" is not necessary for dialing phone numbers or for any commonly used telephone functions.
The letter "Z" is also absent from the telephone dial. This omission is because the letter "Z" is not needed for dialing phone numbers and is not commonly used in telephone-related applications.
The layout of the telephone dial was designed to accommodate the most frequently used letters and numbers while minimizing the number of keys. This design decision was made to ensure efficiency and simplicity in dialing numbers and accessing telephone services.
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HELP ME Which of these tables represents a function?
A. W
B. X
C. Y
D. Z
Work out the value of angle x.
Х
110 degree
Answer:
40 degrees
Step-by-step explanation:
the bottom angles are 70 each because you can find one of them by subtracting 110 from 180 (110 is an exterior angle to one of the bottom sides). The other is also 70 because the triangle is an isosceles. Then, subtract 70*2 from 180 to get 40 degrees for x (the remaining side).
hello what's the answer how did u get it
1. Calculate the grade point average: An A is considered 4.0, a B is 3.0, a C is 2.0, a D is 1.0, and an F is 0. If you received the following grades, what would be your grade point average? Round your answer to the hundredths place. Reminder: Upload paperwork to IvyLearn right after you finish the test (a few questions from now!)
Course Credits Grade
Sociology 3.0 A
Calculus 4.0 F
New Student Seminar 1.0 C
Physics 5.0 A
2.Given the assignment categories and weights listed below, what overall grade should the student get in the class? Round your answer to one decimal place.
Weight Average
Homework30% 95
Projects 15% 80
Tests 50% 77
Attendance 5% 50
sinA•cosA•tanA+cosA-SinA.cotA give answer pls
Answer:
Step-by-step explanation:
Tan A = Sin A/Cos A
Cot A = Cos A / Sin A
Sin A*Cos A * tan A + Cos A * Sin A * Cot A
[tex]= Sin A * Cos A * \frac{Sin A}{Cos A} + Cos A*Sin A * \frac{Cos A}{Sin A}\\\\= Sin A * Sin A + Cos A * Cos A\\\\= Sin^{2} A + Cos^{2} A\\\\= 1[/tex]
Hurry I need the answer on how u got it and ill give u the brainlest if its correct
1. While doing construction on your new house, you notice that it takes 6 minutes to put up 22 shingles on the roof. Which one of the following is a correct sentence to describe the ratio of minutes to shingles?
Group of answer choices
There are 3.7 minutes for every 1 shingle put on the roof.
For every 3 minutes, there are 11 shingles put up.
There is 1 minute for every 0.27 of a shingle.
It takes 3.7 minutes to put up 22 shingles.
2..A researcher decides to study study frogs in a local forest. Funding for his project says:
2.For every 8 hours in the office, you will be allowed 100 minutes in the forest.
Which of the following is the correct ratio of forest to office time?
Group of answer choices
4.8
0.2083
12.5
0.08
3.Which of the following is equivalent to the ratio 5?
You don't have to show work for this problem.
Group of answer choices
1:5
5 to 1
1/5
0.2
4.Consider the number: 105,279,083,000
Which digit is in the ten billions place?
You don't have to show work for this problem.
Group of answer choices
7
5
9
0
5.Write the following number in correct scientific notation: 13.8 billion
You don't need to show work for this problem, but it's a good idea.
Group of answer choices
1.38 x 10^-10
1.38 x 10^10
13.8 x 10^9
1.38 x 10^7
Answer:
1. The first statement is true
2. Answer will be 0. 2083
3. 1: 5
4. 0 takes in ten billions place
5. 1.38 * 10^10
Hope this helped
Correct me if i'm wrong
All the best !!
Aaron went to watch The Avengers at the movie theater. He noticed that 60% of the movie extras during one of the scenes were teachers from his school. He recognized 24 teachers from his school. How many movie extras were there all together?
Answer:
40 extras
Step-by-step explanation:
24 is 60% I would divide 24 by 6 to get 10% 24/6 is 4. 4*10 is 40. There were 40 extra's all together.
I need an answer ASAP thank you
Answer: i think its
Step-by-step explanation: carrot