Answers
Answer:
c) step 3
Step-by-step explanation:
7 (y - 10) + 8 - 6 (3 + 1)
y = 13
substitute 13 for y
7 (13 - 10) + 8 - 6 (3 + 1)
solve inside the brackets:
7 (3) + 8 - 6 (4)
multiply:
21 + 8 - 24
solve:
5
Related Questions
What is the measure of the missing angle?
40°
75°
Answers
180-115=65
65°
Answer:
65
Step-by-step explanation:
40+75=115
180-115=65
If this is an triangle
Whales have one of the longest gestation periods of any mammal. According to a website, the mean gestation period for a whale is 15 months. Assume the distribution of gestation periods is Normal with a standard deviation of 12 months
a. Find the standard score associated with a gestation period of 13.8 months
b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 13.8 and 15 months?
c. Would it be unusual for a whole to have a gestation period of 21 months? Why or why not?
The standard score associated with a gestation period of 13.8 months is __________.
Answers
Answer:
a) The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]
b) 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.
c) Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.
Step-by-step explanation:
The Empirical Rule 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.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If [tex]Z \geq 2[/tex] or [tex]Z \leq -2[/tex], the measure X is considered to be unusual.
According to a website, the mean gestation period for a whale is 15 months. Assume the distribution of gestation periods is Normal with a standard deviation of 1.2 months.
I corrected to 1.2 because it is what makes sense considering the questions.
This means that [tex]\mu = 15, \sigma = 1.2[/tex]
a. Find the standard score associated with a gestation period of 13.8 months
This is Z when X = 13.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{13.8 - 15}{1.2}[/tex]
[tex]Z = -1[/tex]
The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]
b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 13.8 and 15 months?
The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex], which means that it is one standard deviation below the mean.
The normal distribution is symmetric, which means that of the approximately 68% of measures within one standard deviation of the mean, 68%/2 = 34% are within one standard deviation below the mean(in this case, 13.8) and the mean(in this case 15), and 34% are within the mean and one standard deviation above the mean.
So 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.
c. Would it be unusual for a whale to have a gestation period of 21 months? Why or why not?
Let's find the z-score
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 15}{1.2}[/tex]
[tex]Z = 5[/tex]
Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.
Hao bought a 16-pound bag of dog food. If his dog eats pound of food every day, for how many days will the bag of dog food last?
Answers
Answer:
uh 1 pound per day 16 pounds so 16 days, i guess
Step-by-step explanation:
Subtract 9x^2 – 10x + 1 from – 2x^2 + 4x – 10.
Answers
Answer:
Step-by-step explanation:
the answer is 11x^2-14x+11 umm thats what i got
( 9x² - 10x + 1 ) - (-2x² + 4x - 10 )
9x² + 2x² = 11x²
-10x - 4x = -14x
1 - (-10) = 1 + 10 = 11
so the answer is
11x² - 14x + 11
Find the perimeter of the triangle.
Answers
9514 1404 393
Answer:
84 in
Step-by-step explanation:
The Pythagorean theorem is used to find the length 'b'.
b^2 +12^2 = 37^2
b = √(37^2 -12^2) = √1225 = 35
Then the perimeter is the sum of side lengths:
P = a + b + c = 12 + 35 + 37
P = 84 . . . inches
Answer:
in triangle
b=√(37²-12²)=35
perimeter of the triangle.=sum of all side
=37+12+35=84in
Please help me with this geo question
Answers
Answer:
option c buddy!!!.....
Are the following similar? Why or why not
Answers
Answer:
yes
Explanation:
the ratios of the corresponding sides are equal: 3/2the corresponding angles are equal9514 1404 393
Answer:
(a) Yes
Step-by-step explanation:
Two angles of one triangle have the same measures as two angles of the other triangle. The triangles are similar by the AA similarity postulate.
(11x-28) + (10x-17) combine like terms
Answers
Answer:
21x-45
Step-by-step explanation:
(11x-28)+(10x-17)=11x-28+10x-17=21x-45
Hope this helps =]
Hey there!
(11x - 28) + (10x - 17)
= 11x - 28 + 10x - 17
COMBINE the LIKE TERMS
= (11x + 10x) + (-28 - 17)
= 11x + 10x - 28 - 17
= 21x - 45
Therefore, your answer is: 21x - 45
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
please help me need help
Answers
Answer:
Step-by-step explanation: So all you do it cut the shape up like into in long rectangle and one really tiny rectangle and then do. 3x12 and then 1x3 and then add the answers up so it should equal 39
Jean worked 47 hours last week and was paid $527. How much was she paid per hour?
Answers
Answer:
11.2127659574
Step-by-step explanation:
Answer:
$11.21 per hour.
Step-by-step explanation:
Divide the pay by the hours worked and round to the nearest tenth.
527/ 47 = 11.21276596 then round to 11.21
p(z) = 23-8. Write p(z) as a product of three linear factors
Answers
Answer:
23 of 8
23/8
23-8 is that it? it seems like something I did in class
Will mark brainliest! The triangles shown below must be congruent, true or false
Answers
Answer:
Step-by-step explanation:
False
Does this graph represent a function? Why or why not?
Answers
Answer:
The answer is a because it does pass the verticle line test
Consider the parabola given by the equation: f(x) = 2x2 + 14.0 – 4
Find the following for this parabola:
A) The vertex:
B) The vertical intercept is the point
C) Find the coordinates of the two z intercepts of the parabola and write them as a list, separated by
commas:
It is OK to round your value(s) to to two decimal places.
Answers
Answer:
Step-by-step explanation:
f(x) = 2x² + 14x - 4
= 2(x² + 7x) - 4
= 2(x² +7x + 3.5²) - 2(3.5²) - 4
= 2(x+3.5)² - 28.5
vertex (3.5, -28.5) = (7/2, -57/2)
The vertical intercept is the y-intercept, i.e., f(0) = -4.
The x-intercepts are the values of x for which y=0.
2x² + 14x - 4 = 0
x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27
If the measure of angle CBD is 5(7x + 15) degrees, then what is the value of x. (Angle CDB is 180)
x =
Answers
Answer:
[tex]\huge\boxed{\sf x = 3 }[/tex]
Step-by-step explanation:
If the measure of :
∠CBD = 5 ( 7x + 15 )
Also,
∠CBD = 180°
Then,
5 (7x + 15) = 180
35x + 75 = 180
Subtract 75 to both sides
35x = 180 - 75
35x = 105
Divide both sides by 35
x = 105 / 35
x = 3
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Please help me and happy april fools day! B)
Answers
Answer:
A,C,D,F
Step-by-step explanation:
Alanna is painting a border on a wall. The border consists of kite-shaped figures as shown.
3 kites are connected at 1 point.
Each kite measures 6 inches across and 12 inches long. The wall is 12 feet across. How many square inches of the wall will be covered with kites?
Answers
Answer:
its 864
Step-by-step explanation:
lil uzi vert is the best ;)
PLEASE MARK BRAINLIEST!!!!!!!!!!!!!Answer:
c, 864
Step-by-step explanation:
on edgunuity i got it right
Find the area of the trapezoids
Answers
Whoever answers the questions correctly gets brainlist
Answers
Answer:
2. B
3. B
4. 2(7k+5h)
5. $325
Step-by-step explanation:
2) "X decreased by the sum of 2x + 5" Decreased means to be lowered, so that means this problem has subtraction in it. It also says x is being decreased BY the sum of 2x + 5 so that means 2x + 5 needs to be solved, which calls for parentheses. B best fits the description.
3) It is B because if you distribute the 8 to 2a and 3b, you'll get 16a and 24b, which is the given expression.
4) The given expression is 10h + 14k and in the equivalent expression, you are given 5h. To get from 10 to 5, you must divide by 2. This tells you that 2 is being distributed, so you put 2 before the parentheses. Since you divided 10 by 2, you want to do the same to 14, which is 7. Therefore, it is 2(7k+5h).
5) You are given the hourly charge, which is $25. This means that they charge $25 per hour/for every hour. You want to find the cost for 13 hours, so you multiply the hourly charge by 13 hours. 25 x 13 = 325.
You run a hotel with 1465 rooms. You currently have 296 rooms reserved by individuals and 651 rooms reserved by groups for a particular upcoming weekend. Historical trends indicate that this far out from the date in question, your booking rates are probably 67% for individual reservations and 56% for group reservations. Do you expect to be undercooked or overcooked for the upcoming weekend
Answers
Answer:
Hotel is over booked by 140 rooms
Step-by-step explanation:
Total number of hotel rooms = 1465
number reserved by individuals = 296
number reserved by groups = 651
booking rates = 67% for individual , 56% for groups
Determine if you are under booked or overbooked for the weekend
let X represent the number of rooms booked by individuals
and Y represent the number of rooms booked by groups
number of reserved room for individuals
= 67% of X = 296
X = 67% + 33%
= 296 + ( (296 / 67 ) * 33 )
= 296 + 146 ≈ 442
number of rooms reserved for groups
= 56% of Y = 651
Y =( 651 / 56 ) * 100
≈ 1163
Total rooms booked = X + Y
= 442 + 1163 = 1605
To determine if under booked or over booked
Total rooms booked - Total number of hotel rooms
= 1605 - 1465
= 140 ( Your Hotel is over booked )
What's 9+7
Please help
Answers
Answer:
9 + 7 = 16
9 - 7 = 2
9/7 = 1.28571429
9 x 7 = 63
Step-by-step explanation:
have a good day
Answer:
16
Step-by-step explanation:
because if you add the 9 and 7 together it will get you to 16
for Example:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 2 3 4 5 6/7 8 9 10 11 12 13 14 15 16
you just add 9 and 7 and you will get 16
so that answers your question
What's 9+7 Please help
answer: 16
Hope this helps
-2(x+2)=1/4(-8x-4) how many solutions does this have
Answers
Answer:
It has no solutions.
-2(x+2)=1/4(-8x-4) \
You have to water it down like a normal equation.
-2x-4=-2x-1
& from here you can just tell it won't have any solutions since it is not equal.
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answers
Answer:
24 miles per hour.
Step-by-step explanation:
you divide 144 by 6 to get 24.
Answer:
24 miles per hour
Step-by-step explanation:
To find the mph rate, you just have to take the number of miles traveled, divided by the time.
So:
144 ÷ 6 = 24
Which means they were traveling at 24 miles per hour
Choose the fraction that is NOT equivalent to 2/2?
A.1/1
B.2/1
C.3/3
D.4/4
Answers
Answer:
B 2/1
Step-by-step explanation:
2/2=1
3/3=1
4/4=1
and 2/1=2
training for a cycle race in the first week if I was 195 miles in the second we can manage is 243 Miles what is the percentage increase in distance
Answers
Answer:
24.61%
Step-by-step explanation:
The distance covered in first week = 195 miles
The distance covered in the second week = 243 miles
We need to find the percentage increase in distance. It can be calculated as follows :
[tex]\%=\dfrac{243-195}{195}\times 100\\\\=24.61\%[/tex]
So, the increase in distance is equal to 24.61%.
find ratio of 13cm : 65m
Answers
Answer:
1:5
Step-by-step explanation:
13cm: 65cm = 13cm/65cm =13/65 = 1/5= 1:5
HELPPPPPPPPPPPPPPPP
A system of linear equation can be solved in two ways. One way is solving by which uses the coordinates of the point of as the answers. Another way is called . In this method we creates opposites to eliminate one of the variables and solve for the other variable. The last method is solving by . In this method we isolate a variable and substitute what is equal to that in the other equation for that variable and solve the last equation that we get.
Answers
Answer:\Another way to solve a system of equations is by substitution. With this method, you are essentially simplifying one equation and incorporating it into the other, which allows you to eliminate one of the unknown variables. Consider the following system of linear equations:
Step-by-step explanation:
hope this helps!
Answer:
Graphing, elimination, substitution are the three methods in order of the question
Step-by-step explanation:
(X8.6.PS-12
Question Help
A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 2 m wide.
Find the area of the sidewalk in square meters. Use 3.14 for it.
The area of the sidewalk is m2.
(Round to the nearest whole number as needed.)
Enter your answer in the answer box and then click Check Answer.
Clear All
Check Answer
All parts showing
Answers
Answer:
area = 138 m²
Step-by-step explanation:
radius of large circle = 12 m
radius of small circle = 10 m
large circle area = πr² = (3.14)(12²) = 452.16 m²
small circle area = πr² = (3.14)(10²) =314 m²
452.16 - 314 = 138.16 m²
Solve for m
–5m + 10 = –10 − 10 + 10m
Answers
-Simplify the equation to get -5m+10=10m-20
-Subtract 10m from both sides to get -15m +10=-20
Subtract 10 from both sides to get -15m=-30
Divide both sides by -15 to get 2 :)
it is a set of points on given plane which is equidistant from a fixed point called the center
Answers
Answer: circle
Step-by-step explanation:
The set of points on a given plane which is equidistant from a fixed point that is called the center simply describes a circle.
We should note that the straight line that goes through the centre of a circle is referred to as the diameter while half of the diameter is the radius which is drawn from the center of the circle.