In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days. One length of gestation had a z-score of -1.70. Which of the following sentences best interprets the z-score?
A. The length of this gestation period was longer than the mean length of gestation periods by 1.7 days.
B. The length of this gestation period was shorter than the mean like the gestation periods by 1.7 days.
C. The length of this gestation period was longer than the mean length of gestation periods by 1.7 standard deviations.
D. The length of this gestation period was shorter than the mean length of gestation periods by 1.7 standard deviations.
Answer:
The statement that best interprets the z-score is;
D. The length of the gestation period was shorter than the mean length of gestation period by 1.7 standard deviations
Step-by-step explanation:
The given parameters are;
The length of the gestation period of the cattle breed = 284 days
The standard deviation = 5.5 days
The z-score of one length of gestation period was z = -1.70
The formula for finding the z-score, z is presented as follows
[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]
Where;
x = The observed value for the gestation period
μ = The sample mean length for the gestation period = 284
σ = The gestation period standard deviation = 5.5
When Z = -1.70, we have;
[tex]-1.70 =\dfrac{x-\mu }{\sigma }[/tex]
∴ x - μ = -1.7 × σ
∴ x is shorter than μ by 1.7×σ
Therefore, the length of the gestation period, x, was shorter than the mean length of gestation period, μ, by 1.7 standard deviations, σ.
Answer:
D. The length of the gestation period was shorter than the mean length of gestation period by 1.7 standard deviations
Step-by-step explanation:
Someone plz help me I will give brainlist( I forgot what it’s call) T^T someone plz help
Answer:
24.
Step-by-step explanation:
12 + 15= 27. 15 divided by 5 is 3. 3 - 27= 24. Hope this helps!
Which of the following sets of numbers could not represent the three sides of a triangle?
{6,14,18}
{11,26,36}
{12,14,25}
{10,13,23}
Answer:
12,14,25 I think or A
Step-by-step explanation:
To enable a set of three numbers to represent three sides of a triangle, sum of smaller two numbers must be greater than the largest number. Hence, only C can represent a triangle
pls help me pls plz plzplz
Answer:im not sure if im correct, but my guess is that it would double? such as go to 4cm and 2 cm?
Step-by-step explanation:
b) Add the following equation:
x/3+4x/3
Answer:
5x/3
Step-by-step explanation:
A) 67 inches
B) 67.5 inches
C) 68 inches
D)68.5 inches
Explain your answer
Solve the equation it’s One step and Two step Eq Assignment
Answer: I don’t know if you have any questions or questions I have to do it to you and I don’t know what to do with
Step-by-step explanation: I don’t know what the password is but I don’t know what it is it was about to get it to
Answer:
12
Step-by-step explanation:
(4/3)y=16
4y=16*3... criss cross
4y=48
y=12
7th grade math help me please :))
Answer:
The answer to this question is 12x.
Answer:
[tex]\huge\boxed{\sf 12x}[/tex]
Step-by-step explanation:
[tex]\sf 5x+7x\\\\Take \ x \ as \ common\\\\x(5+7)\\\\x(12)\\\\= 12x\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
At the beginning of the day, the sum of the stocks in the Dow Jones was
$10,335.24. At the end of the day, the sum of the stocks in the Dow Jones
was $10,215.78. What was the rate of change of the Dow Jones on this
particular day?
Answer:
- 1.15585%
Step-by-step explanation:
Given that:
Sum of stock at beginning = $10,335.24
Sum of stock at the end of the day = $10,215.78
Rate of change of the Down Jones on that day :
The change in price on the day:
Ending - Beginning
10,215.78 - 10,335.24 = −119.46
The rate if change is thus ;
(Change in price / beginning stock price) * 100%
(-119.46 / 10,335.24) * 100%
-0.0115585 * 100%
- 1.15585%
Answer: -1.2%
Step-by-step explanation:
please help this is due soon
Answer:
[tex] \frac{x \sqrt{2x} }{6} [/tex]
Give brainlist
If the radius of a circle is 9 cm, what is the area of the circle?
The diameter of the circle is 100 cm what is the circumference of the circle? (Use = 3.14.)
Step-by-step explanation:
the formula for the area of a circle is
πr²
plug 9 in for r (radius) to get
3.14 (81) = 254.34 cm² as our area
the circumference is equal to πd , with π being pi and d being diameter.
the circumference is then 3.14(100) = 314cm
The dinner bill for the Rao family was $58. Mr. Rao left a tip of 15% of the bill. What was the total cost of the family’s dinner?
Answer: $66.7
Step-by-step explanation:
$58 spent on dinner
Gives 15% of the bill as tip
15% of 58 = 8.7
$58 + $8.7 = $66.7
How many solutions does the system have
The ratio of teachers to students on a field trip to New York City is 2 to 9. If there are 243 students on the trip,
Answer:
54 teachers
Step-by-step explanation:
Step one:
given data
The ratio of teachers to students on a field trip to New York City is 2 to 9.
That is the ratio is 2:9
We are told that there are 243 students
Required
We want to find the number of teachers
Step two:
Applying the part to part method we have
let the number of teachers be x
2/9= x/243
cross multiply we have
9x= 243*2
9x= 486
divide both sides by 9
x= 54
Hence there are 54 teachers
what is the domain and range of f(x) = 3- √x?
Answer:
f(x)=3√x f ( x ) = x 3
Step-by-step explanation:
Help me there’s a time limit on this
Answer:
is ll hrs is the answer hurry
3+5 is an example of?
Expression
Equation
Inequality
Answer:
Equation I believe is the answer
let me know if not
Harry cycles 8 kilometres in 30 minutes.
Calculate his average speed, in km/h.
Answer:
.27 km/h
Step-by-step explanation:
30/8 = .0.26666666666
Match the scenarios to the equations.
Answer:
first one is -4+y=20 second is 4+y=-20
Factor completely. 3x2 - 4x + 1
Answer:
How to solve your question
Your question is
3
2
−
4
+
1
3x^{2}-4x+1
3x2−4x+1
Grouping
1
Use the sum-product pattern
3
2
−
4
+
1
3
2
−
−
3
+
1
Step-by-step explanation:
3x2-1x-3x+1
x(3x-1)-1(3x-1)
(3x-1)(x-1)
x=1/3, x=1
Can someone please help me with this maybe get a better understanding if you have the time to tell me?
(30 points please no joke answers)
Thanks :)
Step-by-step explanation:
Absolute value function:
|x| = x when x >= 0.|x| = -x when x < 0.Swim 3 feet under water => |-3|
Stand 20 feet above => |20|
Using the absolute value function,
we have |-3| = 3 and |20| = 20.
Since 3 is less than 20, |-3| < |20|. (C)
Thinkers and leaders other than Martin Luther King Jr. have created tension to bring about change.
What evidence from the passage supports this statement?
“Just as Socrates felt that it was necessary to create a tension in the mind so that individuals could rise from the bondage of myths...”
“You may well ask, Why direct action? Why sit-ins, marches, etc.? Isn't negotiation a better path? You are exactly right in your call for negotiation.”
“I just referred to the creation of tension as a part of the work of the nonviolent resister. This may sound rather shocking. But I must confess that I am not afraid of the word tension.”
“Too long has our beloved Southland been bogged down in the tragic attempt to live in monologue rather than dialogue...”
Answer:
Step-by-step explanation:
Martin luther is a g
Drag each number to show whether or not it is a solution to the inequality.
Inequality: 42x - 12 ≤ 24
( 10, 9 , -5, 12.5 , 0 )
Solution to the inequality
42x - 12 ≤ 24
NOT a solution to the inequality 42x - 12 ≤ 24
A linear inequality is given to us and we need to drag each number to show whether or not it is a
solution to the inequality .The given inequality to us is ,
[tex]\bf\implies 4x - 12 \leq 24 \\\\\bf\implies 4x \leq 24+12 \\\\\bf\implies 4x \leq 36 \\\\\bf\implies x \leq \dfrac{36}{4}\\\\\bf\implies x\leq 9\\\\\bf\implies \boxed{\red{\bf x \in [9,-\infty ) }}[/tex]
Hence , x can have all values less than or equal to 9. That is x E [ 9 , -∞ ) .
Options provided to us are ,
10 6 9(-5) 12.50Hence values less than or equal to 9 are 9 , 6 , (-5) and 0 .
A florist was looking at her flower order. The ratio of roses to sunflowers was 4 to 9. When she was done, she realized there were 65 MORE sunflowers than roses. How many of each flower was there?
Answer:
[tex]52[/tex] roses and [tex]117[/tex] sunflowers
Step-by-step explanation:
Since the ratio of roses to sunflowers is [tex]4:9[/tex], we can represent how many there are of each as [tex]4x[/tex] and [tex]9x[/tex], respectively. We know that there are [tex]65[/tex] more sunflowers than roses, so we can set up the following equation to solve for [tex]x[/tex]:
[tex]4x+65=9x[/tex]
Solving for [tex]x[/tex], we get:
[tex]4x+65=9x[/tex]
[tex]4x+65-4x=9x-4x[/tex] (Subtract [tex]4x[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]65=5x[/tex] (Simplify)
[tex]5x=65[/tex] (Symmetric Property of Equality)
[tex]\frac{5x}{5}=\frac{65}{5}[/tex] (Divide both sides of the equation by [tex]5[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=13[/tex] (Simplify)
Therefore, since [tex]x=13[/tex], we know that there are [tex]4x=4*13=52[/tex] roses and [tex]9x=9*13=117[/tex] sunflowers. Hope this helps!
The measures of corresponding angles are ______________________________.
Answer:
congruent
Step-by-step explanation:
A circle has an area of 2827.4333. What is the radius? (round to the nearest whole number)
Answer:
the radius equals 30
______
_/2827.43
--------- = 30
3.14
it's the square root of the area (2827.43) divided by pie
Need help with question 2
Which of the following is a linear function?
PLS HELP!!!!
y = x^3 + 1
5/6 x = y − 4
y = 8x^2
y = 1/5x
Answer:
y=3x+1
Step-by-step explanation:
You get all the steps you need in order to make a linear graph line. you see 3x is where the x intercept is going to be. you always need to see a number at the end of the equation with either +/- sign as in (+1).
(have a great day!)
what is the range of each set of numbers?
25,82,94,52,100
Answer:
75
Step-by-step explanation:
range is the smallest number subtracted by the largest number
100-25
Use the graph shown. State the number of real zeros of the function.
Answer:
Option B
Step-by-step explanation:
Zeros of a function are defined by the values of x at y = 0,
In other words, x-intercepts of a function graph are the zeros of the function.
Real zeros means graph should intersect or touch the x-axis.
If it is imaginary, the graph will have no x-intercept.
From the graph attached,
There are 3 points where the graph intersects the x-axis.
Therefore, the function will have 3 real zeros.
Option B is the answer.