Answer:
The answer is B
Step-by-step explanation:
Because 175% means its more than what it was before. Hope this helped!!
Watch help video
In an all boys school, the heights of the student body are normally distributed with a
mean of 69 inches and a standard deviation of 2.5 inches. Using the empirical rule,
what percentage of the boys are between 61.5 and 76.5 inches tall?
Answer:
99.7%
Step-by-step explanation:
99.7% of boys fall between 61.5 and 76.5
The percentage of the boys that are between 61.5 and 76.5 inches tall is 99.73%
How to determine the percentage between the range?The given parameters are:
Mean = 69Standard deviation = 2.5Start by calculating the z score for x = 61.5 and 76.5 using:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
So, we have:
[tex]z_1 = \frac{61.5 - 69}{2.5} = -3[/tex]
[tex]z_2 = \frac{76.5 - 69}{2.5} = 3[/tex]
The percentage is then represented as:
Percentage = P(-3 < x < 3)
Using the z table of probabilities, we have:
Percentage = 0.9973
Express as percentage
Percentage = 99.73%
Hence, 99.73% of the boys are between 61.5 and 76.5 inches tall
Read more about normal distribution at:
https://brainly.com/question/4079902
#SPJ9
Find the value of x in the triangle shown below.
X
5
6
Answer:
C. x = √61
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to solve for the missing length.
Step 2: Identify Variables
Leg a = 6
Leg b = 5
Hypotenuse c = x
Step 3: Solve for x
Substitute: 6² + 5² = x²Exponents: 36 + 25 = x²Add: 61 = x²Isolate x: √61 = xRewrite: x = √61Answer: 61
Step-by-step explanation:
25+36=x
61=x
x=61
For a study of adolescents' disclosure of their dating and romantic relationships, a sample of 224 high school students was surveyed. One of the variables of interest was the level of disclosure to an adolescent's mother (measured on a 5-point scale, where 1 = "never tell" and 5 ="always tell"). The sampled high school students had a mean disclosure score of 3.38 and a standard deviation of 0.98. The researchers hypothesize that the true mean disclosure score of all adolescents will exceed 3. Do you believe the researchers?
Conduct a formal test of hypothesis using α = 0.05. Set
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There sufficient evidence that the true mean disclosure score of all adolescents will exceed 3
Step-by-step explanation:
From the question we are told that
The sample is n = 224
The sample mean is [tex]\= x = 3.38[/tex]
The standard deviation is [tex]s = 0.98[/tex]
The population mean is [tex]\mu = 3[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 3[/tex]
The alternative hypothesis is [tex]H_a : \mu > 3[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{s}{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{ 3.38 - 3 }{ \frac{0.98 }{ \sqrt{224} } }[/tex]
=> [tex]z = 5.80[/tex]
From the z table the area under the normal curve to the right corresponding to 5.80 is
[tex]p-value = 0[/tex]
From the value obtained we that [tex]p-value < \alpha[/tex] , hence
The decision rule is
Reject the null hypothesis
The conclusion is
There sufficient evidence that the true mean disclosure score of all adolescents will exceed 3
the question is above in the picture
Need help, I’ll give brainliest if correct.
Perform the indicated operations:
Answer:
B. x+1 / x+9
Step-by-step explanation:
We are designing gift bags of fruit, and a bag is supposed to contain 30 pieces of fruit. Find the number of bags of fruit that can be made out of apples, bananas, oranges, and pears, where, in each bag, the number of apples is even, the number of bananas is a multiple of 5, the number of oranges is at most 4, and the number of pears is 0 or 1.
a. What if the 30 were replaced by n?
b. Is there a formula for the number of bags with n pieces of fruit that obey these rules?
Step-by-step explanation:
For each type of fruit, the corresponding generating function will be:
For apples the generating function will be:
For banana the generating function will be:
For orange the generating function will be:
[tex]\sum_{e 3=0}^{\infty} x^{e^{3}} &=1+x+x^{2}+x^{3}+x^{4}+\ldots \ldots \\
&=\frac{1-x^{5}}{1-x}[/tex]
For pears the generating function will be :
Then the generating function is the product of the factors:
[tex]={c}
n+2-1\\
n \\[/tex]
Therefore, we get
From the given question data,
[tex]h_{n} &=n+1 \\
&=30+1 \\
&=31[/tex]
CONCLUSION：
For h_{n} the value n=30 is the answer.
Stephen Curry makes 43.5% of his 3 point shots. In a typical season, Curry takes around 700 3 point shots. Assume Curry takes 700 3 point shots in the 2020 season, and those shots are independent and can be modeled using the binomial theorem. (Hint: Don't forget the continuity correction!)
a. Find the probability that Curry makes less than 300 3 point shots.
b. Find the probability that Curry makes more than 350 3 point shots.
Answer:
a. Find the probability that Curry makes less than 300 3 point shots.
Give the domain and range.
-3 0 3 у -6 0 6.
a. domain: {-3, 0, 3), range: 2-6, 0, 6)
b. domain: {-6, 0, 6), range: {-3, 0, 3}
c. domain: {3, 0, 3), range: {6, 0, 6}
d. domain: {6,0, 6), range: {3, 0,3}
Answer:
The domain: {-3, 0, 3}
The range: {-6, 0, 6}
Therefore, option (a) is correct.
Step-by-step explanation:
Given the table
x -3 0 3
y -6 0 6
Determining the Domain:
We know that the domain of a relation is the set of all the x-values of the set X. In other words, the domain of relation consists of all the input values.Therefore, the domain: {-3, 0, 3}
Determining the Range:
We know that the range of a relation is the set of all the y-values of the set Y. In other words, the range of relation includes all the output values.Therefore, the range: {-6, 0, 6}
Therefore, we conclude that option (a) is correct.
Divide four people into three rooms, in which only one room could host two people. How many ways are there to arrange them so that A, B are not in the same room
Step-by-step explanation:
AC B D
AD B C
A BC D
A BD C
hope it's right
Plz plz plz plz help me out
Answer: 60
Step-by-step explanation:
you can see here that 1 van can hold 12 people. so, if you just multiply that number by 5, then you can see how many fit into 5 vans.
Answer:
60 passengers.
Step-by-step explanation:
From the table, you'ld realise that it is in a sequence of (12), that is 1×12=12, 2×12=24, therefore, the number of passengers that can be transported in 5 vans are 5×12= 60 passengers.
Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in
descending powers of x.
(8x + 3)(4x + 7)
Answer:
32x^2+68x+21
Step-by-step explanation:
Answer:
32x^2+68x+21
Step-by-step explanation:
This is right just did this!!
I am an odd number that is less than 10 and is not the number of sides on a triangle.I can be divided by three what number am I?
Answer:
I think that it would be 9 because it is less than ten and can be divided equally by 3.
Step-by-step explanation:
A polynomial function has x-intercepts at -2, 1/2, and 2 and a relative maximum at x = -1.
Which graph matches the description of this function?
Answer: A :)
Step-by-step explanation:
The function goes through -2, 1/2, and 2, maximum goes through x= -1
By using the information about the x-intercepts and the relative maximum, we can see that the correct option is A.
How to find the correct graph of the polynomial?
First, we know that we have a relative maximum at x = -1, this means that we have a "mountain" at x = -1.
The only two graphs with that feature are A and B.
Now we also know that the x-intercepts are:
-2, 1/2, and 2.
Where the x-intercepts are the values of x at which the graph intercepts the x-axis. There you can see that we have one negative and two positives, from that, we can conclude that the only correct option can be A (because B has two negatives and one positive x-intercepts).
Finally, we conclude that the correct option is A.
If you want to learn more about polynomials, you can read:
https://brainly.com/question/4142886
In a random survey of 50 students at Great Middle school,32 said chocolate was their favorite flavor of yogurt.The school has 450 students.How many of them are likely to select chocolate as their favorite flavor?
Answer:
288 I think
Step-by-step explanation:
450 divided by 50 is 9
9 times 32 is 288
I might be wrong
just in case
sorry!
The price of a 7 -minute phone call is $1.75. What is the price of a 14 -minute phone call?
Answer:
$3.50
Step-by-step explanation:
14 is double 7
So the price should be double
1.75 x 2 = 3.5
(Assuming there's no base fee and the charge is purely for minutes)
what is the inverse function of f(x) = 4x - 1
Answer:
[tex]f(x) = \frac{x + 1}{4}[/tex]
Step-by-step explanation:
To inverse the function switch the places of x and y like this:
x = 4y - 1
Now, solve for y:
[tex]x + 1 = 4y\\\frac{x + 1}{4} = y[/tex]
It's that easy!
I hope this helps!!
- Kay :)
Hello,
2x+1=x(2+0)
True or false???????
Answer:
false right
Step-by-step explanation:
Simplefly the problem 1/2x/45>61
Answer:
x>5490
x
>61
x>61×90
x>5490
Type the correct answer in the box.
If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is
°.
Correct question is;
Type the correct answer in the box bellow: If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is ...........
Answer:
x = 35°
Step-by-step explanation:
We are told that;
cos x = sin(20 + x)°
and 0° < x < 90°
From trigonometric identities, we know that;
cos x = sin (90 - x)
Applying to our question gives;
sin (90 - x) = sin (20 + x)°
Comparing both sides, we have;
90 - x = 20 + x
Rearranging;
90 - 20 = x + x
70 = 2x
x = 70/2
x = 35°
This is finding exact values of sin theta/2 and tan theta/2. I’m really confused and now don’t have a clue on how to do this, please help
First,
tan(θ) = sin(θ) / cos(θ)
and given that 90° < θ < 180°, meaning θ lies in the second quadrant, we know that cos(θ) < 0. (We also then know the sign of sin(θ), but that won't be important.)
Dividing each part of the inequality by 2 tells us that 45° < θ/2 < 90°, so the half-angle falls in the first quadrant, which means both cos(θ/2) > 0 and sin(θ/2) > 0.
Now recall the half-angle identities,
cos²(θ/2) = (1 + cos(θ)) / 2
sin²(θ/2) = (1 - cos(θ)) / 2
and taking the positive square roots, we have
cos(θ/2) = √[(1 + cos(θ)) / 2]
sin(θ/2) = √[(1 - cos(θ)) / 2]
Then
tan(θ/2) = sin(θ/2) / cos(θ/2) = √[(1 - cos(θ)) / (1 + cos(θ))]
Notice how we don't need sin(θ) ?
Now, recall the Pythagorean identity:
cos²(θ) + sin²(θ) = 1
Dividing both sides by cos²(θ) gives
1 + tan²(θ) = 1/cos²(θ)
We know cos(θ) is negative, so solve for cos²(θ) and take the negative square root.
cos²(θ) = 1/(1 + tan²(θ))
cos(θ) = - 1/√[1 + tan²(θ)]
Plug in tan(θ) = - 12/5 and solve for cos(θ) :
cos(θ) = - 1/√[1 + (-12/5)²] = - 5/13
Finally, solve for sin(θ/2) and tan(θ/2) :
sin(θ/2) = √[(1 - (- 5/13)) / 2] = 3/√(13)
tan(θ/2) = √[(1 - (- 5/13)) / (1 + (- 5/13))] = 3/2
A scuba diver descends 0.75 meters per second. What is her change in elevation after 25 seconds?
-25.75 meters
-50.00 meters
-18.75 meters
-100 meters
Answer:
-18.75 Meters
Step-by-step explanation:
0.75 x -25 = -18.75 Meters :D
3r + 6y - 2z = -6 2x + y + 4z = 19 -5x - 2y+8z = 62
solve each system of equations
Explain briefly why the vertical line test is used to determine if a graph represents a function.
Answer:
One x input cannot have two or more resulting y outputs
Step-by-step explanation:
That's why we use the vertical line test to see if there's two y vales for a corresponding x value, hope that helped
Solve each system of equations by elimination.
y= -x+1 y=4x-14
By ELIMINATION
Answer:
X=3, y=-2
Step-by-step explanation:
The Black Panther looks for Vibranium to put in his spear.He spends 3/5 of an hour searching.Over 4 days,about how many hours does he search for gemstones
Answer:
RIP chadwick
Step-by-step explanation:
What inequality symbol does "at least" correspond to?
A. less than
B. less than or equal to
C. greater than
D. greater than or equal to
Answer:
C, if someone else gets the same answer as me then its right
Step-by-step explanation:
Divide 25000 in the ratio 2:3:5
Pls answer this question
It is reaaaallyy imp
Will mark as brainliest
Let the parts be 2x, 3x and 5x.
Sum= 25000
Therefore,2x+3x+5x=25000
10x=25000
x=25000/10
x=2500
Therefore, parts:-
1. 2×2500=5000
2. 3×2500=7500
3. 5×2500=12500
Answer:
5000, 7500, 12500
Step-by-step explanation:
[tex]2 + 3 + 5 = 10[/tex]
[tex]25000[/tex] ÷ [tex]10[/tex] = [tex]2500[/tex]
[tex]2500[/tex] × [tex]2 = 5000[/tex]
[tex]2500[/tex] × [tex]3 = 7500[/tex]
[tex]2500[/tex] × [tex]5 = 12500[/tex]
[tex]\therefore[/tex] [tex]25000[/tex] will split into [tex]5000[/tex], [tex]7500[/tex], and [tex]12500[/tex].
To check if the answer is correct, you can add the values up and see if they sum up to [tex]25000[/tex]:
[tex]5000 + 7500 + 12500 = 25000[/tex]
Hope this helps :)
Sum of the Interior angles of a 32-gon
Answer: 5,400 degrees
Step-by-step explanation:
Answer:
In geometry, a triacontadigon (or triacontakaidigon) or 32-gon is a thirty-two-sided polygon. In Greek, the prefix triaconta- means 30 and di- means 2. The sum of any triacontadigon's interior angles is 5400 degrees.
Internal angle (degrees): 168.75°
Dual polygon: Self
Symmetry group: Dihedral (D32), order 2×32
Step-by-step explanation:
Your welcome!!!❤
Write numbers to make each line have the same sum
Answer:
There is nothing here?
Step-by-step explanation: