The standard deviation is 1.43 below the mean
How to determine the number of standard deviation?The given parameters are:
Mean = 98.249
Standard deviation = 0.733
x = 97.2
To calculate the number of standard deviation below the mean, we use
[tex]x = \bar x - n\sigma[/tex]
So, we have:
[tex]97.2 = 98.249 - n * 0.7333[/tex]
Evaluate the like terms
[tex]-1.049 =- n * 0.7333[/tex]
Divide both sides by -0.733
n =1.43
Hence, the standard deviation is 1.43 below the mean
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How many solutions does the system of linear equations have?
y = 4x - 7
y = x – 3
Choose 1 answer:
Exactly one solution
No solutions
Infinitely many solutions
Answer:
X = 4/3 Exactly one solution
Step-by-step explanation:
x-3 = 4x-7
x = 4x-4
-3x = -4
x = 4/3
Find 30% of 70 whats your right one
Answer:
21
Step-by-step explanation:
I hope this helps!
What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?
OA 9 units, 12 units
OB. 11 units, 10.2 units
OC 4.9 units, 15.8 units
OD 4.9 units, 14.2 units
OE 5.2 units, 14.1 units
Answer:
D) 4.9 units, 14.2 units
Step-by-step explanation:
I assume that we will be using trigonmetry as this is a right triangle
The two ratios that will be used are CAH (Cosine = adjacent/hypotneuse)
and SOH (Sine = opposite/hypotneuse)
While it does not matter which acute angle the problem is to, I decided to set up the triangle like so in the picture attached
This means x = adjacent and y = opposite here
Now we just need to plug in the numbers to find the missing variables
x) cos(19) = x/15
(15)cos(19) = x/15(15)
~14.2 = x
y) sin(19) = y/15
(15)sin(19) = y/15(15)
~4.9 = y
Hope that helps a bit
I took waaay too long to explain this lol
The value of x for the triangle is 14.2 and the value of y is 4.9. The correct option is D.
What is trigonometry?Trigonometry is the branch of mathematics that establishes a relationship between the sides and angles of a right-angle triangle.
The mathematical trigonometric functions, sometimes referred to as circle, angle, or goniometric functions, relate the angle of a right-angled triangle to the ratios of its two side lengths.
Calculate the value of x as below,
xcos(19) = x/15
(15)cos(19) = x/15(15)
14.2 = x
The value of y is calculated as,
ysin(19) = y/15
(15)sin(19) = y/15(15)
4.9 = y
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I need help ASAP will mark you the brainliest
Answer:
The similarity is they are using tools to help them make the lines, but the differences are they are using different tools to make different lines. While 1 of the tools is similar to the other
Step-by-step explanation:
which set a characteristics produces one uniche triangle
Answer:
A unique triangle will be produced if you are given: all three sides (Side-Side-Side) two sides and the included angle (Side-Angle-Side) two angles and the included side (Angle-Side-Angle)
Step-by-step explanation:
hope this helps! :D
what is 2604 divided by 5
Answer:
150.80
Step-by-step explanation:
Answer:520.8
Step-by-step explanation:
A carpenter needs to cut a 5 foot, 8 inch piece of wood from an 8-foot board to make a repair to a door. How many inches of wood will he have left after he makes the cut and repairs the cut and repairs the door?
Answer:
Step-by-step explanation:
1 foot = 12 inches
length of board in inches = 8 ft × (12 in)/ft = 96 in
length of cut in inches = 5 ft + 8 in = 5 ft × (12 in)/ft + 8 in = 60 in + 8 in = 68 in.
96 - 68 = 28 inches left
Simplify. Identify any x value for which the expression is undefined x^2+3x/x^3
Answer:
x = 0
Step-by-step explanation:
I think you mean
[tex] \dfrac{x^2 + 3x}{x^3} [/tex]
The only undefined values of x come from the denominator, x^3.
A denominator cannot equal zero since division by zero is undefined.
Therefore if x^3 equals zero, you get an un defined expression.
We let x^3 = 0 and solve for x to find the values of x that would cause an undefined expression.
x^3 = 0
Solve for x by taking the cubic root of both sides.
x = 0
Answer: x = 0
pls pls guys pls pls pls pls pls
Step-by-step explanation:
area of the parallelogram = height (h) × base ( b)
=. 4 m × 6 m
=. 24 m²
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
Lizette earns $10 in gas money for driving to babysit and then earns $8 for each hour she
babysits the kids. How much money will she make for 5 hours of babysitting?
Answer:
$30
Step-by-step explanation:
8 x 5 = 40
40 - 10 = 30
Two triangles are cut from a rectangle to form a trapezoid. What is the ratio of the area of the trapezoid to the combined area of the triangles? A 18:54 C 54:18 B 18:72 D 72:18 12 in group of students is painting a background piece
The image showing the trapezoid is missing, so i have attached it.
Answer:
C 54:18
Step-by-step explanation:
Formula for area of trapezoid is;
A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6
A_trap = ½(12 + 6) × 6
A_trap = 54 in²
Combined area of triangle:
A_tria = 2 × ½ × 3 × 6 = 18 in²
Thus;
A_trap:A_tria = 54 in²:18 in² = 54:18
The image showing the trapezoid is missing, so i have attached it.
Answer:
C 54:18
Step-by-step explanation:
Formula for area of trapezoid is;
A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6
A_trap = ½(12 + 6) × 6
A_trap = 54 in²
Combined area of triangle:
A_tria = 2 × ½ × 3 × 6 = 18 in²
Thus;
A_trap:A_tria = 54 in²:18 in² = 54:18
Match each part of this algebraic expression with this appropriate description
Answer:
1) x and y --> Variable(s)
2) 1/6 --> Constant(s)
3) 12.1, 4.7, and 6 --> Coefficient(s)
4) 12.1x and 6x --> Like Terms
5) 12.1x, 4.7y, and 1/6 --> Terms
Zoey surveyed 580 of the students in her school about their favorite color. 35% said their favorite color was purple. How many students' favorite color was purple?
Answer:
203 students surveryed purple as their favorite color
Step-by-step explanation:
Let's set this up like a fraction
Percentages are always out of 100 so the denoninator will be 100
Since the number of students who's favorite color is equal to 35%, we will equal both fractions together
Variable x = number of students for purple
x/580 = 35/100
Cross multiply
x × 100 = 580 × 35
100x = 20,300
Isolate the variable by dividing both sides by 100
x = 203
203 students surveryed purple as their favorite color
Lydia dusted 3/8 of the furniture pieces in her home on Monday. On Tuesday, she dusted 1/4
of them. How much more of the dusting did Lydia finish on Monday?
A. 1/8
B.1/4
C.3/8
Answer:
A
Step-by-step explanation:
3/8
1/4× 2
3/8
-2/8
1/8
if that makes sense to you.
Evaluate the function at the given values.
f(x) = 4x-5
a. f(6)
b. f(-1/2)
c. f(0)
Answer:
C. F(0)
Step-by-step explanation:
Add 5 to both sides. 5(x)=4(x)
5(0)=4(0) because 5 x 0 = 0 and 4 x 0 = 0.
3x -5x + 8x = 4x + 18
Answer:
x = 9
Step-by-step explanation:
6x = 4x + 18
6x - 4x = 18
2x = 18
x = 9
Answer:
-9
Step-by-step explanation:
3x−5x+8x=4x+18
Step 1: Simplify both sides of the equation.
3x−5x+8x=4x+18
3x+−5x+8x=4x+18
(3x+−5x+8x)=4x+18(Combine Like Terms)
6x=4x+18
6x=4x+18
Step 2: Subtract 4x from both sides.
6x−4x=4x+18−4x
2x=18
Step 3: Divide both sides by 2.
2x
2
=
18
2
NEED HELP ASAP!!!!!!!
Step-by-step explanation:
It's must be -3 ...............
5 DdMll, 6 UdMll, 8 Cmil, 1 Dmil,
9 Umil, 7 c, 2 d, 3 u.
(valor posicional)
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
Can I get some help I don’t get this
Answer: 3 1/30
Step-by-step explanation:
Hi, IReady sucks. So I am gonna help you. I got 3 1/30 when you add them together. I would also recommend using a Fraction Calculator online. ;) it helps a lot!
Your grandfather has enjoyed good vision for most of his 80 years. You observe him having trouble reading websites on his new iPad, squinting while he moves it towards and away from his face. You realize he might benefit from reading glasses. Since you were going out anyway, you offer to pick up a pair of glasses for him at the drug store. Consider that your grandfather is at his most comfortable reading posture when he is holding the iPad at a distance of 18 inches.
a. What dioptric power of reading glasses should you get for your grandfather? Note that reading glasses are normally available in increments of 0.25 Diopter.
b. It occurs to you that you could have just shown grandpa how to make the displayed content appear larger on the iPad by adjusting the display "zoom". What percentage zoom (100% is the default view, 200% would make text and images twice as large) would give your grandfather a similar viewing experience to wearing the reading glasses you were planning to purchase?
Answer:
Step-by-step explanation:
Given that:
The focal point = 18 inches
= (18 × 0.0254)m
= 0.4572 m
= 45.7 cm
For such a comfortable distance of 45.7 cm, the perfect lens power for grandfather can be determined.
Let's recall that, the accommodation amplitude usually decreases with age and eventually becomes 1 D after the age of 50.
Thus, +2.5D or a convex lens appears to be a perfect one.
b. We will agree that Diopter illustrates the optical power or most at times the capability of the lens.
So, 3D is equally 1.75X magnification which is likely to be double the zoom as it will be helpful to the grandfather.
Now, for a 2.5D, approximately 1.5X zooming once(200%) will be perfect and equal to viewing with the reading glasses.
two trains depart the station in different directions. their paths are at a 90-degree angle from one another, as shown in the following illustration. Train 1 leaves the station traveling at 50 mph. Train 2 leaves the station one hour later traveling at 75 mph. Assuming the t represents the time that train 1 had been in route, which of the following inequalities can be used to calculate the values of t for which the distance between the trains is greater than or equal to 100 miles?
Answer:
8125t^2-11250t^2+5625 greater than or equal to > 100
Step-by-step explanation:
PLATO
Which angles are complementary to each other?
5
25 and 23
25 and 24
21 and 22
21 and 24
the diffrence between two positive numbers is 7 and the square of thier sum is 289
Answer:
One of the Numbers is -151 and the other is -144
Step-by-step explanation:
Set up the equations then solve
Factor as the product of two binomial X^2-100=
Answer:
x^2 - 100 = (x + 10) * (x - 10)
Step-by-step explanation:
Recall that 100 is the perfect square of 10:
10^2 = 100
then we can use the formula for factorization of a difference of squares:
x^2 - 10^2 = (x + 10) * (x - 10)
Cost of five lemons is $2.
What is the cost per lemon?
Answer: $
per lemon
Part B
At this rate, what is the cost of 9 lemons?
Answer:
Part a: $0.40 per lemon, Part b: $3.60
Step-by-step explanation:
Because the cost of five lemons is $2, it would be: 5 lemon = $2
$2/5 lemons = $x/1 lemon
so divide by 5 on the numerator and denominator. 2 divided by 5 = 0.4
So part a: 40 cents or $0.40 per lemon!
Part B:
cost of 1 lemon compared to 9 lemons:
$0.40/1 = x/9
Multiply both numerator and denominator by 9
So, it costs $3.60 for 9 lemons.
thank you in advance!!
Answer:
Fourth option: y = 2/5x - 3
Step-by-step explanation:
it is perpendicular :)
Answer:
Your answer y=-5/2x + 6
Mark it as brainlist answer. As soon as possible.
Asaprocurementofficer,youareresponsiblefortheselectionofasupplierformanufactured components to use in your company’s production process. A potential supplier has indicated that they can supply the component that has a defect rate of 1.1% that is well below your current supplier's defect rate. You take 100 components and find four of them defective upon evaluation. Using the Poisson Distribution, how likely is it to get four or fewer defects out of 100?
Ce clasă ești sa văd daca te pot ajuta
cinco problemas que Puedes resolver por medio de una computadora
Answer:
no se zorry ..............?..?
Evaluate the expression when c=5 and d=7.
c+6d
Help!!!!
Answer:
47
Step-by-step explanation:
substitute the value of 5 in for c and 7 in for d;
(5) + 6(7)
5 + 42
47
Juries should have the same racial distribution as the surrounding communities. According to the U.S. Census Bureau, 18% of residents in Minneapolis, Minnesota, are African Americans. Suppose a local court will randomly sample 100 state residents and will then observe the proportion in the sample who are African American. How likely is the resulting sample proportion to be between 0.066 and 0.294 (i.e., 6.6% to 29.4% African American)
Answer:
0.997 = 99.7% probability that the resulting sample proportion to be between 0.066 and 0.294
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
18% of residents in Minneapolis, Minnesota, are African Americans. Suppose a local court will randomly sample 100 state residents and will then observe the proportion in the sample who are African American.
This means that [tex]p = 0.18, n = 100[/tex]
So, by the Central Limit Theorem:
[tex]\mu = 0.18, s = \sqrt{\frac{0.18*0.82}{100}} = 0.0384[/tex]
How likely is the resulting sample proportion to be between 0.066 and 0.294?
This is the pvalue of Z when X = 0.294 subtracted by the pvalue of Z when X = 0.066. So
X = 0.294
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.294 - 0.18}{0.0384}[/tex]
[tex]Z = 2.97[/tex]
[tex]Z = 2.97[/tex] has a pvalue of 0.9985
X = 0.066
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.066 - 0.18}{0.0384}[/tex]
[tex]Z = -2.97[/tex]
[tex]Z = -2.97[/tex] has a pvalue of 0.0015
0.9985 - 0.0015 = 0.997
0.997 = 99.7% probability that the resulting sample proportion to be between 0.066 and 0.294