Answer:
5.6
Step-by-step explanation:
Answer:
5.6
Step-by-step explanation:
find the value of x.
Answer:
23
Step-by-step explanation:
3x + 18 + 93 = 180
3x + 111 = 180
3x = 69
x = 23
Please Help! :)
Instructions: Using the following image, complete the statements below.
Step-by-step explanation:
1. DEC
2. BEC
3. 180°
4. 180°
hope this helps
Which expression is equivalent to (7-8)(73)?
Answer:
The answer would be -73
Answer: 7^-5
Step-by-step explanation: I did it
What’s the explicit rule for the sequence 9,14,24,...
Answer:
f(n) = 5n(n -1)/2 +9
Step-by-step explanation:
The rule will depend on what kind of sequence you think this is. An infinite number of rules can be dreamed up that will give these three values.
The simplest polynomial rule is one of 2nd degree. We know this because the first differences are 14-9 = 5 and 24-14 = 10, so are not constant. Only three values are given, so only a polynomial of degree 3-1=2 can be specified by these points.
If we say the polynomial is ...
f(n) = an^2 +bn +c
Then the three given points give rise to three equations:
9 = a + b + c
14 = 4a +2b +c
24 = 9a +3b +c
Solving these by your favorite method gives ...
a = 5/2, b = -5/2, c = 9
So an explicit polynomial rule can be written as ...
f(n) = 5n(n -1)/2 +9
_____
Additional comment
A sequence such as this one can also be described by an exponential rule. Here's one that describes these points:
f(n) = 5·2^(n-1) +4
The fact that the first differences (5, 10) are related by a factor of 2 suggests 2 as the base of the exponent.
PLEASE HELP! WILL GIVE BRAINLIEST!
Answer:
Step-by-step explanation: the best answer is c
simplify by combining like terms
Answer:
31b2 subtract 16b2
Step-by-step explanation:
Add and then subtract the numbers
Please do all problems for brainlest!
Answer:
1) GCF(12,32) = 4
2) lcm(12, 32) = 96
3) GCF 6,12,21 = 3
4) LCm 6,12,21 = 84
Answer:
1) 4
2) 96
3) 3
4) 36
The weight of an organ in adult males has a bell-shaped distribution with a mean of 350 grams and a standard deviation of 45 grams. Use the empirical rule to determine the following. (a) About 68% of organs will be between what weights? (b) What percentage of organs weighs between 260 grams and 440 grams? (c) What percentage of organs weighs less than 260 grams or more than 440 grams? (d) What percentage of organs weighs between 215 grams and 440 grams?
Answer:
a) About 68% of the data would be between 305 grams to 395 grams
b) About 95% of organs weighs between 260 grams and 440 grams
c)About 5% of organs weighs less than 260 grams or more than 440 grams
d) About 97% of organs weighs between 215 grams and 440 grams
Step-by-step explanation:
The empirical rule formula:
1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
(a) About 68% of organs will be between what weights?
We would be applying the First rule of the Empirical formula to this.
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
Mean = 350 grams
Standard deviation = 45 grams
Hence,
350 grams - 45 grams
= 305 grams
350grams + 45grams
= 395 grams
Therefore about 68% of the data would be between 305 grams to 395 grams
(b) What percentage of organs weighs between 260 grams and 440 grams?
Let try the second rule
2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Mean = 350 grams
Standard deviation = 45 grams
μ - 2σ
= 350 - 2(45)
= 350 - 90
= 260
μ + 2σ
= 350 + 2(45)
= 350 + 90
= 440
Therefore, about 95% of organs weighs between 260 grams and 440 grams
(c) What percentage of organs weighs less than 260 grams or more than 440 grams?
Let try the second rule
2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Mean = 350 grams
Standard deviation = 45 grams
μ + 2σ
= 350 - 2(45)
= 350 - 90
= 260
μ + 2σ
= 350 + 2(45)
= 350 + 90
= 440
Since, about 95% of organs weighs between 260 grams and 440 grams, the percentage of organs weighs less than 260 grams or more than 440 grams is calculated as:
100% - 95%
= 5%
Therefore, percentage of organs weighs less than 260 grams or more than 440 grams is 5%
(d) What percentage of organs weighs between 215 grams and 440 grams?
For 215 grams, we apply the 3rd rule to confirm
= 3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
Mean = 350 grams
Standard deviation = 45 grams
μ - 3σ
= 350 - 3(45)
= 350 - 135
= 215.
Hence, 99% of the organs weigh 215 grams
For 440, from the solve questions above, we know the second rule applies.
Hence,
2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Mean = 350 grams
Standard deviation = 45 grams
μ + 2σ
= 350 + 2(45)
= 350 + 90
= 440
Hence,
99% + 95%/ 2
= 194% / 2
= 97%
Therefore, about 97% of organs weighs between 215 grams and 440 grams
g The distribution of heights of 7-year-old girls is approximately normally distributed with a mean of 47.7 inches and a standard deviation of 2.4 inches. Amy is 7 years old, and her height is 1.34 standard deviations above the mean. Her friend Sophia is also 7 years old and is at the 94th percentile of the height distribution. a. At what percentile is Amy's height? Draw and label the Normal model that corresponds to this situation. b. How does her height compare to Sophia's? c. What percent of 7-year-old girls would you expect to be taller than 49.4 inches? Draw and label the Normal model that corresponds to this situation. d. Below what height are the shortest 30% of 7-year-old girls? Draw and label the Normal model that corresponds to this situation.
Answer:
a) 90th percentile
b) X = 51.43 ( Sophia's height ) , Amy's height = 50.92
c) 0.2394
d) 46.44 inches
Step-by-step explanation:
mean value( u ) = 47.7 inches
std ( σ )= 2.4 inches
Amy height = 1.34 std above mean value
Sophia height = 94th percentile of height distribution
A ) what percentile is Amy's height
To Calculate the percentile of Amy's height
P( X ≤ 50.916 ) = P( (X-µ)/σ ) ≤ (50.916-47.7) /2.4)
=P(Z ≤ 1.340 ) = 0.9099 = 90th percentile
B) How Amy's height compare to Sophia's
The proportion given based on Sophia's height = 0.94
z -value at the proportion ( 0.94 ) = 1.55 ( from excel )
note z-value can be calculated using = ( x - µ ) / σ
therefore: X (Sophia's height ) = zσ + µ= (1.55 * 2.4) + 47.7
X = 51.43 ( Sophia's height ) , Amy's height = 50.92
C) percentage expected to be taller than 49.4 inches
P ( X ≥ 49.40 ) = P( (X-µ)/σ) ≥ (49.4-47.7) / 2.4)
= P(Z ≥ 0.708 )
= P( Z < -0.708 )
= 0.2394
D) Below what height are the shortest 30% of 7-year old girls
( u ) = 47.7 inches
std ( σ )= 2.4 inches
given proportion = 30% = 0.3
The z value at 0.3 = -0.52 ( from excel )
to calculate for X ( height ) we have to apply the formula used to determine z value
z= (x-µ) /σ
hence : X = (Z * σ) + u = (-0.52 * 2.4 ) + 47.7
X = 46.44
below 46.44 inches lies about 30% of 7 year old girls height
Which mixed number is represented by the shaded
area?
Answer:
1 1/3
Step-by-step explanation:
yeah
round 134,642,358,000 to the billions place
Answer:
135 billion, or 135,000,000,000
Step-by-step explanation:
The 4 in 134 represents the number of billions. Since the next digit (6) is greater than 5, we must round up, obtaining
135 billion, or 135,000,000,000
When we round off the given number to the billions place, we get - 135,000,000,000.
What is Rounding off?
Rounding off means a number is made simpler by keeping its value intact but closer to the next number.
Given is a number as 134,642,358,000
For rounding of the number to the billions place, first we will have to find the digit representing the billions place. The digit 4 represent the billions place. So we have to round up till digit 4. We can write the rounded number as - 135,000,000,000
Therefore, when we round off the given number to the billions place, we get - 135,000,000,000.
To solve more questions on Rounding off, visit the link below-
https://brainly.com/question/15066543
#SPJ2
Why is the equation for Newton's Law of Gravitation negative?
a. The negative sign indicates the force is made by mass
b. The negative sign cancels out the negative sign of the gravitational constant
c. The negative sign indicates the strength of the force
d. The negative sign indicates that the force is always attractive (THIS ANSWER IS CORRECT)
Answer:
gravitational force of attraction between two positive mask or two negative mass and repulsive between one negative into positive minus negative sign only appears when the force is acting in the opposite direction when considered the direction.
Answer:
D) The negative sign indicated the force is always attractive
Find the distance between GH
Answer:
4.2 cm
Step-by-step explanation:
The red mark between each points in the line segment shows that FG, GH, HJ, and JK are all equal in proportion. Since all 4 segments are of equal distance, the distance of any of the segments would be: [tex] \frac{16.8}{4} = 4.2 [/tex].
Therefore, distance between GH is 4.2 cm.
ABCD IS A SQUARE WITH LENGTHS OF 35 INCHES GIVEN THAT AG=14 AND FG=24 WHAT IS THE LENGTH OF EG
Answer:
EG = 16
Step-by-step explanation:
Given: all sides have length 35 inches.
AG + GD = AD
14 + GD = 35
GD = 21
Angles A and D are right angles and are congruent.
Angles AEG and DFG are marked congruent in the figure.
By AA Similarity, triangles EAG and FDG are similar.
The lengths of corresponding sides of similar triangles are proportional.
EG/AG = FG/GD
EG/14 = 24/21
EG/14 = 8/7
7(EG) = 14(8)
EG = 2 * 8
EG = 16
l(x) = 2|3 – 2x| +6; find l(5)
Answer:
5 = a whole big mac right so if you get a triple big mac divide the big mac to the other one
Step-by-step explanation:
A local business does $1200 in sales on Monday and $1400 dollars in sales on Tuesday. Which of the following a correct sentence to describe the ratio of Monday to Tuesday?
Answer: The amount of money that he made on Monday is 0.86 times the amount of money that he made on Tuesday
Step-by-step explanation:
We know:
Monday = $1200
Tuesday = $1400
Now we want to know the ratio of Monday to Tuesday, that is a relation that directly relates both quantities, we can calculate it as:
Ratio from Monday to Tuesday = Monday/Tuesday = $1200/$1400 = 0.86
Then the amount of money that he made on Monday is 0.86 times the amount of money that he made on Tuesday
A circle is centered at the origin (0,0) and has a radius of 4 units. Which points on the circle have an x-coordinate of 1? (Your answer should be a list of points, such as "(1,1), (2,4)".)
Answer: (1, √15) and (1, -√15)
Step-by-step explanation:
A circle centered at the point (a, b) of radius R can be written as:
(x - a)^2 + (y - b)^2 = R^2
In this case we have:
"A circle is centered at the origin (0,0) and has a radius of 4 units"
Then the equation for this circle is:
x^2 + y^2 = 4^2 = 16.
Now, we want to find the points where x = 1, then we can replace that value and solve the equation for y.
1^2 + y^2 = 16
1 + y^2 = 16
y^2 = 16 - 1 = 15
y = +-√15
Then the two points that have the x-coordinate equal to 1 are:
(1, √15) and (1, -√15)
The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)
The equation of a circle usually takes the form;
(x-a)² + (y-b)² = r²where a and b are x- and y- coordinates of the center of the circle.
In this scenario, the center is at the origin (0,0).
In essence, the points on the circle which have an x-coordinate of 1 can be evaluated as follows;
(1-0)² + (y - 0)² = 4²1 + y² = 16.y² = 15y = ±√15.The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)
Read more;
https://brainly.com/question/16646649
Can anyone help me???
Answer:
Maybe option B. 8^8
I am not sure though..
Answer:
the answer should be B
Step-by-step explanation:
Natalia has a savings account at a bank that charges $12 fee for every
month her balance falls below $1,000. Her balance is $1,327.42 when she
withdraws $350. After the transaction, what is her balance? *
A. $965.42
B. $977.42
C. $638.00
D. $1,677.42
Answer:
$1,677.42
Step-by-step explanation:
bye
What represents 5. X=15
Answer:
X=3
Step-by-step explanation:
5x3=15
10 points please help ASAP
Answer:
1st. supplementary angles
2nd.vertical angles
3rd. angles around a point
4th. complementary angles
Step-by-step explanation:
Answer:
one with circle is angles around a point
120 and 60 supplementary
27 and 63 complimentary
a and b vertical
Step-by-step explanation:
What are rational numbers
Answer:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Step-by-step explanation:
There are 5 customers currently present in a coffee shop. Three of the customers are waiting in line at the front register. How
many different lines of customers are possible?
6
10
60
120
Answer:
60
Step-by-step explanation:
Edge
Answer:
C.
Step-by-step explanation:
60
Giving 100 PONITS and i MARK BRAINLIEST the question is in the picture provided!
Answer:
a
Step-by-step explanation:
pi r 2
459.96 / 4
22.5 times 11.5
add up
Answer:
I think the answer is A
Step-by-step explanation:
I am so so so sorry if I am wrong!!
Which is a correct two-column proof?
Given: ∠h and ∠c are supplementary.
Prove: j || l
Answer:
Third option is the correct answer.
Step-by-step explanation:
Third option is the correct answer.
What is the solution for -2x + 7 = 7
Answer:
X = 0
Step-by-step explanation:
Step 1: Subtract 7 from both sides.
−2x+7−7=7−7
−2x=0
Step 2: Divide both sides by -2.
−2x
−2
=
0
−2
x=0
Hope this helps!
The diameter of a cylindrical water tank is 13 ft, and its height is 10 A. What is the volume of the tank?
Use the value 3.14 for , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer. Pls help me
Which situation can be represented by this inequality?
200≤20w+50
A. Rylee has 20 stickers in her collection. She will add 50 stickers every week to her collection. Rylee collects stickers for w weeks. For what values of w will Rylee have at most 200 stickers?
B. Rylee has 50 stickers in her collection. She will add 20 stickers every week to her collection. Rylee collects stickers for w weeks. For what values of w will Rylee have at most 200 stickers?
C. Rylee has 50 stickers in her collection. She will add 20 stickers every week to her collection. Rylee collects stickers for w weeks. For what values of w will Rylee have at least 200 stickers?
D. Rylee has 20 stickers in her collection. She will add 50 stickers every week to her collection. Rylee collects stickers for w weeks. For what values of w will Rylee have at least 200 stickers?
Answer:
D. Rylee has 20 stickers in her collection. She will add 50 stickers every week to her collection. Rylee collects stickers for w weeks. For what values of w will Rylee have at least 200 stickers?
Step-by-step explanation:
Sorry if this is bad.
w = weeks. So 50 stickers plus 20 times the amount of WEEKS (w) = AT LEAST (≤) 200. hope this helped. :)
Answer:
C. Rylee has 50 stickers in her collection. She will add 20 stickers every week to her collection. Rylee collects stickers for w weeks. For what values of w will Rylee have at least 200 stickers?
Step-by-step explanation:
3) An old pump can fill a swimming pool in 9
hours. If a new pump was being used with the old
pump they could fill the pool in 3 hours. How
long would it take to fill the pool with just the new
pump?
clear
worl
long
5.
r
Answer:
6 hours
Step-by-step explanation:
old = 9
old + new = 3
3 - new = old
3 - new = 9
9 - 3 = new
new = 6
Heeeeelp!!!!!!
A piggy bank contains $2.65 in nickels and dimes. If the number of nickels is 7 less than three times the number of dimes, how many of each kind of coin are there?
Answer:
29 nickels, 12 dimes
If the number of nickels is 7 less than three times the number of dimes, the answers should be 29 nickels and 12 dimes. Hope it helps!
Answer:
dimes = $2.41nickels = $0.24Step-by-step explanation:
given:
A piggy bank contains $2.65 in nickels and dimes.
If the number of nickels is 7 less than three times the number of dimes,
find:
how many of each kind of coin are there?
solution;
total = $2.65 = d + n
let d = dimes
n = nickels
nickels = 3d - 7
plugin values into the formula:
2.65 = d + 3d - 7
2.65 + 7 = 4d
d = 9.65
4
d = $2.41
nickels = 3d - 7
= 3(2.41) - 7
n = $0.24