Answer:
Step-by-step explanation:
what is the sum of the first 25 terms of an arithematic sequence if the sum of its 8th and 18th terms is 72?
Answer:
900
Step-by-step explanation:
A high school basketball coach is selecting his team. The minimum and maximum height requirements are as follows:
Point Guard: Small Forward: Center:
6’2" – 6’6" tall at least 6’6" tall at least 6’8" tall
The heights of the Lincoln High School boys have a normal distribution with a mean height of 70 inches and the standard deviation of 4 inches.
Which statement is true?
A. About 16% of the boys are eligible to be a point guard on the team. B. About 2% of the boys are eligible to be a small forward on the team. C. About 48% of the boys are eligible to be a small forward on the team. D. About 34% of the boys are eligible to be a point guard on the team.
Answer:
B. About 2% of the boys are eligible to be a small forward on the team
Step-by-step explanation:
Recall : 1 feets = 12 inches
Point guard = 6’2" – 6’6" tall = 74 - 78 inches
Mean = 70 ; Standard deviation = 4
Z = (x - mean) / standard
P(x < 74) = (74 - 70) / 4 = 1
P(x < 78) = (78 - 70) / 4 = 2
0.97725 - 0.84134 = 0.13591
Small forward : 6'6" = 78 inches
P(x ≥ 78) = (78 - 70) / 4 = 2
P(z ≥ 2) = 0.02275 = 2.275% about 2%
Centre : 6'8" = 80
P(x ≥ 80) = (80 - 70) / 4 = 2.5
P(z ≥ 2.5) = 0.0062097 = 0.62%
About 2% of the boys are eligible to be a small forward on the team. Then the correct option is B.
What is a z-score?The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
A high school basketball coach is selecting his team.
The minimum and maximum height requirements are as follows:
Point Guard: Small Forward: Center:
6’2" – 6’6" tall at least 6’6" tall at least 6’8" tall
The heights of the Lincoln High School boys have a normal distribution with a mean height of 70 inches and a standard deviation of 4 inches.
The value of the z-score will be
[tex]z = \dfrac{x - \mu }{\sigma}[/tex]
[tex]P(x < 74) = \dfrac{74-70}{4} = 1 \\\\P(x < 78) = \dfrac{78-70}{4} = 2[/tex]
0.97725 - 0.84134 = 0.13591
Small forward: 6'6" = 78 inches
[tex]P(x \geq 78) = \dfrac{78- 70 }{4} 2\\\\\\P(z \geq 2) = 0.02275 = 2.275 \%[/tex]
Centre: 6'8" = 80 inches
[tex]P(x \geq 80) = \dfrac{80- 70 }{4} 2\\\\\\P(z \geq 2.5) = 0.0062097= 0.62 \%[/tex]
More about the z-score link is given below.
https://brainly.com/question/13299273
You randomly draw a marble from a bag, record is color, and then replace it. You draw a blue marble 11 out of 50 times. What is the experimental probability that the nes marble will be blue? Write your answer as a fraction, de mal, or percent. The experimental probabilty that the next marble will be blue is
Explanation:
This may seem like a trick question, but it's not. Your teacher simply wants to know how many times you got blue out of the number of times total. The numerator is the number of blue. The denominator is the number of total tries. The fraction 11/50 cannot be reduced because 11 and 50 share no common factors other than 1.
Notes:
11/50 = 0.22 = 22%The answer above applies to experimental probability only. The theoretical probability is likely different. We don't have enough info to compute the theoretical probability.Fill in the blank to complete this trig
ratio.
y
tan a =
a
Х
[?]
B
N
B
С
у
Z
Answer:
z/y
Step-by-step explanation:
solve for x in the equation
Answer:
x = 12
Step-by-step explanation:
This is a supplementary angle so the right side is equal to 90°. This means the other side must also equal 90°
So subtract 20° from 90° and you get 70°
Next you can just (6(12)-2) or continuously substitute until you get the right answer.
can sombody help me fast ? !
Answer:
i think D
Step-by-step explanation:
HELPP MEeee PLEASE I'll give u kizz
Answer:
Don't want any but here's your answer
Step-by-step explanation:
He spends $165 on 20 gallons
Consider the function f (x) = StartLayout Enlarged left-brace first row negative StartFraction 4 x Over x minus 3 EndFraction, x less-than 5 second row negative 7 x + 25, x greater-than 5 EndLayout. Which type of discontinuity occurs at x = 5? mixed infinite endpoint removable
Answer:
Its removable
Step-by-step explanation:
yes
this is a removable discontinuity
Here we have the piecewise function:
[tex]f(x) = \frac{-4x}{x - 3}[/tex] if x < 5
[tex]f(x) = -7x + 25[/tex] if x > 5.
We want to see which type of discontinuity we have at x = 5.
Remember that:
If we have two asymptotes, then is an infinite discontinuity
if just one point is missing, then it is a removable discontinuity
If the value drastically changes after the discontinuity, then its a jump discontinuity
Mixed case is when two of these happen.
Because we have a piecewise function, we need to evaluate both parts in x = 5.
If both parts give the same value, then we will have a removable discontinuity
if the values are different, then we have a jump discontinuity.
first part:
f(5) = -4×5/(5 - 3) = -20/2 = -10
second part:
f(5) = -7×5 + 25 = -35 + 25 = -10
So we got the same value, which means that this is a removable discontinuity
in the image below you can see the graph of the piecewise function, and see that as x tends to 5, both sides of the function tend to the same value.
if you want to read more about this,, you can see:
https://brainly.com/question/17317969
PLEASE HELP I NEED THE ANSWER ASAP!!
Answer:
A :)
Step-by-step explanation:
Alaina bought 2 cokes and 3 hot dogs for $5.25. Jonathan bought 1 coke and 5 hot dogs for $5.25. Write a system of equations that models the situation
Answer:2x+3y=5.25
x+5y=5.25
Step-by-step explanation:
let x equal cokes and y equal hot dogs
Sharon needs 3 pounds of turkey for every 2 people
that are attending her dinner party.
How many people can she feed with 30 pounds of
turkey?
Answer:
20
Step-by-step explanation:
30 ÷1.5
each person eats 1.5 pounds
what is the slope to this equation ?
Answer:
2/1 or 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Rewrite sin 225 degrees in terms of its reference angle. You do not need to evaluate sin 225.
Answer:
225°: 45° (π / 4)
Solve for the value of t.
please help
Answer:
8t-1=97(being vertically opposiyte angles)
8t=97-1
t=96/8
t=12
Step-by-step explanation:
Find the measure of angle A.
А
64 + x
85 + x
55
Answer:
Your question is unclear
Step-by-step explanation:
Can some one find the vertex for g(x)8x^2-14x+3 Using decimals if necessary
[tex]x_{v}[/tex]Answer:
The vertex of an up - down facing parabola of the formy = ax" + bx + c is xy =
The parabola params are:
a = 8, b = -14, c =3
[tex]x_{v}=b/2a[/tex]
[tex]x_{v}[/tex]=-(-14)/2·8
simplify
[tex]x_{v}[/tex]=-(-14)/2·8
[tex]x_{v} = 7/8[/tex]
Plug in [tex]x_{v}[/tex]=7/8to find the [tex]y_{v}[/tex] value
[tex]y_{v}[/tex]= -25/8
Therefore the parabola vertex is
(7/8 , -25/8)
If a < 0, then the vertex is a maximum value
If a > 0, then the vertex is a minimum value
a = 8
Minimum(7/8 , -25/8)
What do teens say when they are having a difficulty with even numbers in their math class
the answer is- I can't even. I think lol
As solving more complex problems involves a degree of planning as to how you will arrive at the answer, dyspraxic learners may find it difficult to get started. They can also struggle with the sequence of steps and correct order of operations in math. Attention difficulties can affect math skills in a number of ways.
3. What is the total surface area of a cylinder with a radius of 1 cm and a
height of 12 cm?
Answer:
A = 81.68 cm²
Step-by-step explanation:
Answer:
81.71
Step-by-step explanation:
2pi×r²+2pi×r×h
2x1²pi + 2x1x12xpi
2pi+24pi
26pi
81.71
If n||m, find m<1 + m<2.
Answer:
140
Step-by-step explanation:
m1=60→C
A→ 20
180-(20+60)=180-80=100
m3=100
m2+m3=180
m2=180-100=80
m1+m2=60+80=140
Please help. Please please
Answer:
kjhdzkjnkjnZKjnvjkvnzjknjfgnkzjnfkjnJKZnfdkjgnKJnzdkjfbmnfgkns
Step-by-step explanation:
fmdbjdbjdbndndfnmmndmnd
BEST GETS BRAINLIST! 16 Points for this! Help please, attached below, please do a step by step of The SohCahToa method. I need to find the height, round to the nearest hundred decimal.
=====================================================
Explanation:
It's not stated, but I'm assuming your teacher meant to say AB = BC since triangle ABC is isosceles.
From that, we can prove that triangle ADB is congruent to triangle CDB by using the HL rule. Then that means AD = DC = 3 and AC = AD+DC = 3+3 = 6.
Now focus on triangle ADB. It's a right triangle which allows us to use one of the sine, cosine or tangent ratios. We'll use cosine to connect the adjacent side AD = 3 with the unknown hypotenuse AB. The reference angle is BAC = 55. We can shorten this to angle A = 55 if we focus on triangle ADB.
So,
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AB
cos(55) = 3/AB
AB*cos(55) = 3
AB = 3/cos(55)
AB = 5.2303 approximately, make sure your calc is in degree mode
Therefore, the perimeter is
p = AB+BC+AC
p = 5.2303 + 5.2303 + 6
p = 16.4606
p = 16.46
Answer:
p = 16.4
Step-by-step explanation:
cos 55 = 3/x
x = 5.2
BA = 5.2
line AD is = to line DC because it is an isoscles triangle
BC is congruent to BA so BC is also 5.2
add all sides to find perimeter
5.2 + 5.2 + 6 = 16.4
Determine if the lines are parallel, perpendicular, or neither.
y=-2x – 4
2x + y = 5
Answer:
parallel I think
Step-by-step explanation:
move the x to the left and divide by y to simplify. the new equation for the bottom will be y=-2x+5. For it to be parallel they have to have the same slope
21 is less than or equal to -3(x-4) is less than 18
Answer:
-3 ≤ x <-2
Step-by-step explanation:
First, you should set up the equation to solve it, which is,
21 ≤ -3(x-4)<18
Then you should simplify the equation to,
21 ≤ -3x+12<18
Then subtract 12 from both sides.
9 ≤ -3x<6
Lastly, divide -3 from both sides.
-3 ≤ x<-2
Need help with school
Answer:
∠A = 126°
Step-by-step explanation:
Supplementary angles are angles that add up to equal 180°
Given that ∠B = 54°, we can subtract 54° from 180°.
180° - 54° = 126°
∠A = 126°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
which expressions are equivalent to -96/5
Answer:
irdk but papi u a rari
Step-by-step explanation:
For the arithmetic sequence below, find the common difference and the next 3 terms. 12, 16, 20, 24, 28,
Answer:
Step-by-step explanation:
6th term.
a
6
=
32
7th term.
a
7
=
36
i kindly ask you fir you help plz. Triangle ABC is located in the first quadrant with coordinates of:
A: (6,3) B: (4,5) C: (2,2)
The triangle is translated 3 units to the right.
Which quadrant(s) is it now in?
What are the new coordinates?
A’: B’: C’:
Answer:
quadrant 1.
Step-by-step explanation:
A:(9,3)
B:(7,5)
C:(5,2)
hope this helped. have a good day.
could ya'll help me you know I'm bad at it
Answer:
Jane has 30 different outfits she can choose from.
Step-by-step explanation:
Jane has 3 pairs of pants, 5 shirts for each pair of pants, and 2 shoes for each shirt. So the total amount of different outfits she can wear is [tex]3 * 5*2[/tex] = 30 different outfits.
What is the MEAN of this data set? (3, 6, 3)
Answer:
mean=sum of data/no of data
=12/3
=4
Step-by-step explanation:
therefore mean=4
Answer:
3+6+3 = 12
12/3 = 4
Step-by-step explanation:
Therefore the mean is 4
Please help ASAP !!!!!!
I can't see the problem try taking another photo
