Total number of parts = 3 + 2 = 5 parts
[tex]each \: part \: = \frac{(540 \div 5)}{2} \: m[/tex]
[tex] \\ each \: part \: = \frac{108}{2} m \: \\ \\ each \: part \: = 54 \: m[/tex]
Then , the length of this triangle :
[tex]54 \times 3 \: m[/tex]
[tex] = 162 \: m[/tex]
Then , the width of this triangle will be :
[tex]54 \times 2 \: m[/tex]
[tex]108 \: m[/tex]
∴ The length of this rectangle is 162 m and the width of this rectangle is 108 m .
devisibility rules for 3, 6, and 9
Answer:
★ Divisibility rule for 3 -
If the sum of all the digits divisible by 3 then the number is divisible by 3.
Here, we take an example for better understanding -
Example 1 - 3525
Add up the digits - 3 + 5 + 2 + 5
→ 15
As, 15 is divisible by 3. So, 3525 is a factor of 3.
★ Divisibility rule for 6 -
A number is to be divisible by 6 , if the number is also divisible by 2 and 3.
Example 2 - 132
Add up the digits = 1 + 3 + 2 = 6
As, 6 is divisible by 2 and it's also divisible by 3. Then, 132 is a factor of 6.
★ Divisibility rule for 9 -
If the sum of all the digits is divisible by 9 then the number is divisible by 9. Just like we'd in 3.
Example 3 - 1052
Add up the digits - 10 + 5 + 2 = 17
As, 17 is not divisible by 9. So, 1052 is also not divisible by 9.
Will give brainlist plz help its for my 9 week exam
Without looking, Tammy takes a marble out of a bag that contains 10 red marbles, 15 green marbles, and 25 blue marbles. Tammy records the color of the marble and returns it to the bag. If Tammy repeats this process 360 times, how many times can she expect to pull out a red marble?
A. 72
B. 36
C. 20
D. 10
Find the Domain and Range for the graph.
Answer:
options ?
Step-by-step explanation:
pls help fast pls pls
Answer:
x = 10-3
When x + 3 = 10 is simplified x = 7 AND x = 10-3 also equals 7 (x = 7)
How many grams in one dose of medicine?
Answer:
65
Step-by-step explanation:
Super easy math question pls help
Answer:
Thanks
Step-by-step explanation
6(9)+6(7)
also, 18(3)+14(3)
Write 3 < x < 9 in interval notation.
Answer:
(3, 9)
Step-by-step explanation:
If we have ≤ or ≥, we use brackets to signify it includes the values.
If we have < or >, we use parenthesis to signify it doesn't include the values.
The difference between the areas of the figures is less than 4.
An absolute value inequality that represents this situation is ___
The solution of the inequality is ___
Thank you!
Baby weights: The weight of male babies less than 2 months old in the United States is normally distributed with mean 11.8 pounds and standard deviation 3.1 pounds. Use the TI-84 Plus calculator to answer the following. (a) What proportion of babies weigh more than 13 pounds? (b) What proportion of babies weigh less than 14 pounds? (c) What proportion of babies weigh between 11 and 15.8 pounds? (d) Is it unusual for a baby to weigh more than 18 pounds? Round the answers to four decimal places.
Answer:
(a)0.3493
(b) 0.7611
(c) 0.5034
(d) No it is not unusual
Step-by-step explanation:
Using the TI-84 Plus calculator to answer the following
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean 11.8 pounds and Standard deviation 3.1 pounds.
(a) What proportion of babies weigh more than 13 pounds?
z = (x-μ)/σ
= 13 - 11.8/3.1
= 0.3871
Probability value from Z-Table:
P(x<13) = 0.65066
P(x>13) = 1 - P(x<13) = 0.34934
The proportion of babies weigh more than 13 pounds is 0.3493
(b) What proportion of babies weigh less than 14 pounds?
z = (x-μ)/σ
= 14 - 11.8/3.1
= 0.70968
Probability value from Z-Table:
P(x<14) = 0.76105
The proportion of babies weigh less than 14 pounds is 0.7611
(c) What proportion of babies weigh between 11 and 15.8 pounds?
For x = 11
z = (x-μ)/σ
= 11 - 11.8/3.1
= -0.25806
Probability value from Z-Table:
P(x = 11) = 0.39818
For x = 15.8
z = (x-μ)/σ
= 15.8 - 11.8/3.1
= 1.29032
Probability value from Z-Table:
P(x = 15.8) = 0.90153
The proportion of babies weigh between 11 and 15.8 pounds
P(x = 15.8) - P(x = 11)
= 0.90153 - 0.39818
= 0.50335
≈ 4 decimal places = 0.5034
(d) Is it unusual for a baby to weigh more than 18 pounds?
z = (x-μ)/σ
= 18 - 11.8/3.1
= 2
Probability value from Z-Table:
P(x≤ 18) = P(x = 18) =
0.97725
No it is not unusual to have a Weight of 18 pounds
Round the answers to four decimal places.
(a) The proportion of babies weigh more than 13 pounds is 0.3493.
(b) The proportion of babies weigh less than 14 pounds is 0.7611.
(c) The proportion of babies weigh between 11 and 15.8 pounds is 0.5034.
(d) No, it is not unusual.
"To understand the calculation, check below."
ProbabilityFormula:
z = (x-μ)/σ,
x is the raw score.
μ is the population mean.
σ is the population standard deviation.
Mean = 11.8 pounds
Standard deviation =3.1 pounds.
Part (a) :
The proportion of babies weigh more than 13 pounds is :
z = (x-μ)/σ
z = 13 - 11.8/3.1
z = 0.3871
Probability value from Z-Table:
P(x<13) = 0.65066
P(x>13) = 1 - P(x<13) = 0.34934
The proportion of babies weigh more than 13 pounds is 0.3493
Part (b):
The proportion of babies weigh less than 14 pounds is :
z = (x-μ)/σ
z= 14 - 11.8/3.1
z= 0.70968
Probability value from Z-Table:
P(x<14) = 0.76105
The proportion of babies weigh less than 14 pounds is 0.7611.
Part (c):
The proportion of babies weigh between 11 and 15.8 pounds is :
For x = 11
z = (x-μ)/σ
z= 11 - 11.8/3.1
z= -0.25806
Probability value from Z-Table:
P(x = 11) = 0.39818
For x = 15.8
z = (x-μ)/σ
z= 15.8 - 11.8/3.1
z= 1.29032
Probability value from Z-Table:
P(x = 15.8) = 0.90153
The proportion of babies weigh between 11 and 15.8 pounds:
P(x = 15.8) - P(x = 11)
= 0.90153 - 0.39818
= 0.50335
≈ 4 decimal places = 0.5034
Part (d) :
Is it unusual for a baby to weigh more than 18 pounds :
z = (x-μ)/σ
z = 18 - 11.8/3.1
z = 2
Probability value from Z-Table:
P(x≤ 18) = P(x = 18) =0.97725
No, it is not unusual to have a Weight of 18 pounds.
Learn more about "Mean weight":
https://brainly.com/question/14275983?referrer=searchResults
Please HELP ASAP!! Fill in the blank:
If two angles of one triangle are equal in measure to two angles of another triangle then the remaining two angles _________
Answer:
are equal to each other by Triangle Sum Theorem.
Step-by-step explanation:
Answer:
are equal to each other.
Step-by-step explanation:
This happens because the inside angles of a triangle always add up to 180º no matter what type of triangle it is. So if two triangles have two equal measurements then the third will also be equal. This is according to the Triangle Sum Theorem.
A study took a random sample often married couples, and asked the husband's and wife's age. The scatterplot shows the association between the ages of the husbands and wives. Not surprisingly, older husbands tend to have older wives, so the data has a positive linear association. A researcher finds that the least squares regression equation for this relationship is ŷ= 0.89 x + 2.62.
Suppose you interview a married man who has lived to the ripe old age of 100, and still married to his wife. using the least squares regression equation, predict his wife's age.
A. 100
B. 89
C. 91.62
D. 86.38
—my answer is option (c.) 91.62
Any reviews would be much appreciated...
a square as an area of 144m 2 squared what is the length of each side
Answer:
12
Step-by-step explanation:
To find the area of a square, you have to square a side length. Squaring a number is the same as multiplying a number by itself.
12 x 12 = 144
483 calories and serves 3.5 people . How many calories in each serving?
Answer:
138
Step-by-step explanation:
483/3.5=138
Answer:
The answer is 138, simple math If you know what your doing :)
Step-by-step explanation:
483/3.5=138
According to a magazine, % of the world's solar energy cells are manufactured in one country. Consider a random sample of five solar energy cells and let x represent the number in the sample that are manufactured in that country. The formula below gives the probability distribution for x, where . Complete parts a through d. p(x) a. Explain why x is a discrete random variable. A. The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. B. The event x is a discrete random variable b
Answer:
The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely
Step-by-step explanation:
A) Explaining why x is a discrete random variable
The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. A discrete random variable is variable that contains a countable number of values contained in it and each value stands an equal chance i.e The probability of each value/outcome is between 0 and 1
What does v equal? ;-;
Answer:
v=-3
Step-by-step explanation:
-1=1/3v
-1*3=v
-3=v
Answer:
Step-by-step explanation:
[tex]-1 = \frac{1}{3} v[/tex]
Multiply by 3
[tex]-3 = v[/tex]
What is the value of X+1/9=1/3
Answer:
x = 2/9
Step-by-step explanation:
x + 1/9 = 1/3
Subtract 1/9 from each side
x + 1/9 -1/9 = 1/3 - 1/9
Get a common denominator
x = 1/3 *3/3 - 1/9
x = 3/9 -1/9
x = 2/9
A researcher is exploring the notion that there is an economy of scale in raising children. While having one child might add to a family's financial stress, the second or third one might not be as "expensive" since they would already be sharing one roof, could share clothing, etc. The researcher has access to a large community of parents where 15% have one child under 18 in their home, 65% of parents have two children, and 20% of parents have three or more children. Rounded to the nearest whole number, the probability that any given family who is selected has two or more children at home is ________ %?
Answer:
The probability is [tex]G = 85% [/tex]
Step-by-step explanation:
From the question we are told that
The percentage of parents that have one child under 18 in their homes is k = 15%
The percentage of parents that have two children is T = 65%
The percentage of parents that have three or more children is Y = 20%
Generally the probability that any given family who is selected have two or more children at home is mathematically evaluated as
[tex]G = T + Y[/tex]
=> [tex]G = 65% + 20% [/tex]
=> [tex]G = 85% [/tex]
8.546 rounded to the nearest tenths?
Answer:
8.550
Step-by-step explanation:
A group of students held a fundraiser last year and raised $950 for charity. This year, they raised $1,045.
What is the percent change in the amount the group raised?
bo
Answer:
10% (if this is helpful please brainlist!!!)
Step-by-step explanation/proof:
706.5 - 549.5 divided by 6 | SIMPLIFIEDDD giving 5O POINTS mark BRAINLIEST
Answer: 2.166 repeating
More info
Subtract 706.5 - 549.5
That equals 157.
Divide 157 by 6
You get 2.1666666667, or 2.166 repeating
The temperature this morning is 52°F the temperature rose 15° and drop 20° by midnight time what is the temperature by night
Answer:
47
Step-by-step explanation:
you should add 15 to 52 and then subtract 20 from 67 which you got from 52 plus 15
Write the following number in standard form.
eight hundred twenty-six and four hundredths
8,264
826.4
826.004
826.04
Answer:
D
Step-by-step explanation:
hope this helps :3
Answer:
hundreds
Step-by-step explanation:
Remember the place values:
thousands 8
hundreds 2
tens 1
ones 6
.
tenths 4
The 2 is in the hundreds place.
0.00062 as a scientific notation
Answer:
6.2 x 10^-4
Step-by-step explanation:
Since it is a decimal you would move the decimal point to the right. Making the exponent a negative number.
9 1/8 divided by 2/3
Answer:
219/16
Step-by-step explanation:
A local bakery sells 18 bagels for $12.99. How many bagels can be purchased for $20? Round down to the nearest whole bagel.
GIVING 25 POINTS PLEASE ANSWER
Fix the error in the algebraic expression to the translation below.
One less than twice a number translates to x² - 1
Answer:
2x - 1
Step-by-step explanation:
1.32/0.12 with working please
Answer:
11
Step-by-step explanation:
There is no working you literally just divide
Answer:
11
Step-by-step explanation:
PLEASEE HELP GIVING OUT BRAINLIEST
Answer:
0 < x + 7 < 5 = [-7,-2)
Step-by-step explanation:
Move all terms not containing x from the center section of the inequality.
7 < x < -2
convert the inequality to interval notation
[-7,-2)
Hope this helps.
Determine the effective annual yield for each investment.
Then select the better investment. Assume 360 days in a year.
A. 9% compounded monthly
B. 9.25% compounded annually
Pamela's age is three times Jiri's age. The sum of their ages is 84. What is Jiri's age?
Answer:
21
Step-by-step explanation:
21*3 = 63 (add jiri's age)
63+21= 84
Hope this helps!