Using the normal distribution, it is found that there is a 0.0125 = 1.25% probability that a randomly selected 10th grade boy exceeds 70 in.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 63.5, \sigma = 2.9[/tex].
The probability that a randomly selected 10th grade boy exceeds 70 in is one subtracted by the p-value of Z when X = 70, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 63.5}{2.9}[/tex]
Z = 2.24
Z = 2.24 has a p-value of 0.9875.
1 - 0.9875 = 0.0125.
0.0125 = 1.25% probability that a randomly selected 10th grade boy exceeds 70 in.
More can be learned about the normal distribution at https://brainly.com/question/24663213
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There are 5 cups of oatmeal in a container. Stella eats 1/3 cup of oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container?
Answer:
15 days
Step-by-step explanation:
Since there are 5 cups and she eats it 1/3 times a day if you think about it, its like 5 times 3.
I NEED HELP SO BADLY! DONT UNDERSTAND THESE! WILL GIVE BRAINLIEST! (Please do both!)
Answer: 1. Smaller than 8 SQUARE ft. 8 ft on one side and 7/8 ft one one side does NOT equal 8 square ft, it is less. It is actually 7ft. 2. 50,343 is the answer to the second question, so less than the number. Explanation: When you multiply a number by a fraction you get less than the number you started with.
Hope this helps
Answer:
7. Option 2 smaller than 8 sq.ft.
8. Less than 67.24
Step-by-step explanation:
7. the fraction 7/8 is proper, i.e. less than the unit, Any number multiplied by a proper fraction is less (reduced).
8. the same reason as the previous one, 3/4 is a proper fraction.
Hope this helps
Pls help and explain it
Answer:
→ Compare the 2 grade A's
School B's is higher
→ Compare the 2 grade B's
School B's is higher
→ Now formulate a brief response
School B has more entrants in the exam and therefore has a higher proportion of students achieving top grades
An angle measures 142° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
161° and 19°
Step-by-step explanation:
supplementary angles =180
(142+x)+(x)=180
142+2x=180
2x=180-142
2x=38
x=19
142+19=161
III
Finding a missing side length given two similar triangles
AABC and APQR are similar. Find the missing side length.
B
AA
30
48
5
8.
А
36
СР
?
R
Answer:
6
Step-by-step explanation:
These are similar triangles, which means the side lengths are proportional!
30:5=6, so there is a scale factor of six.
36/6 is six!
Answer:
PR = 6
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{AC}{PR}[/tex] = [tex]\frac{BC}{QR}[/tex] ( substitute values )
[tex]\frac{36}{PR}[/tex] = [tex]\frac{48}{8}[/tex] = 6 ( multiply both sides by PR )
6 PR = 36 ( divide both sides by 6 )
PR = 6
Scaling factors! Help please!
Answer:
x=3
y=12
Step-by-step explanation:
The scale factor is 1:4
we divide 12 by 4 to get 3
if we multiply 3 by 4 it is 12 so y=12
Mabel's Pizza sells pizza by the slice for lunch. Today, there are 82 slices ready for lunch, including 16 slices of pepperoni pizza.
What is the probability that a randomly selected slice will be a slice of pepperoni pizza?
Write your answer as a fraction or whole number.
Answer:
19.51% or 8/41
Step-by-step explanation:
for the percentage i did :
82 divided by 100, multiplied by 16.
For the fraction:
original number(16/82) divided by 2
if you answer correctly i will mark you brainliest
Answer:
200
Step-by-step explanation:
main steps in solving algebraic equations are number one we tie the up the equation. So basically expand any brackets or divide out any fractions.
At a basketball game, a vendor sold a combined total of 197 sodas and hot dogs. The number of hot dogs sold was 41 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The number of sodas sold: ?
The number of hot dogs sold: ?
At a basketball game, a vendor sold a combined total of 197 sodas and hot dogs. The number of hot dogs sold was 41 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold .
Given : -Total of sodas and hot dog sold = 197No. of hot dogs sold = 41 less than the no. of sodas soldTo Find : -No. of soda soldNo. of hot dog soldConcept : -We have to solve this question by making equation and after creating equations we have to solve them properly to get the final answer .
To Assume : -Let the no. of soda sold be x .Let the no. of hot dogs sold be x - 41 ( Because they are 41 less than sodas )So Starting Solution : -According to question we know that combined total of sodas and hot dogs is :
x + ( x - 41 ) = 197x + x - 41 = 1972x - 41 = 1972x = 197 + 412x = 238x = 238/2x = 119Therefore , No. of sodas sold is 119 .
Now , Hot dogs :
x - 41 119 - 41 78Therefore , No. of hot dogs sold is 78 .
Verifying :We know that their combined sum is equal to 197 . So ,
Sodas + Hot Dogs = 197119 + 78 = 197197 = 197L.H.S = R.H.STherefore , our answer is valid .
#[tex] \sf{Keep \: Learning}[/tex]what’s the volume 9m,8m,9m
Answer:
9 x 8/2 = 36 l 36 x 9 = Volume
Step-by-step explanation:
we know base is a triangle to to find volume is area of the base times the height and on the right side of the figure, (look at photo) the height is 9 so just do 36 times 9 to get the volume.
hope this helps :D have a good night!
Find the solution set of the inequality
4.7 -1 <11.
Answer:
4x-1<11
4x<11+1
4x<12
x<12/4
x<3
The volume of this right trapezoidal prism is 464.75 ft³. What is the height, x, of the prism? Enter your answer as a decimal in the box.
Check the picture below.
so the volume is really just the product of the trapezoidal face and the length, and we know is 464.75 ft³.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=5\\ b=8\\ a=5 \end{cases}\implies A=\cfrac{5(5+8)}{2}\implies A=\cfrac{65}{2}~ft^2 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\large volume of the prism}}{\stackrel{\textit{area of trapezoid}}{\left( \cfrac{65}{2} \right)} \stackrel{length}{(x)}}~~ = ~~464.75\implies \cfrac{65x}{2}=464.75 \\\\\\ 65x=(2)464.75\implies x=\cfrac{(2)464.75}{65}\implies x=14.3[/tex]
Standing at a trailhead, you look up at a 54° angle and see your friend's cell phone reflecting the sun. You know that she is at the top of the 1200-foot cliff and you call her to say you'll meet her at the bottom of the cliff. How many feet will you have to walk to meet? Round to the nearest tenth.
Answer:
871.9 feet,
Step-by-step explanation:
tan 54 = 1200/ x where x is the distance you have to walk.
x = 1200 / tan54
= 871.85
the question is in the photo whoever gets the right answer gets brainlist :))
Step-by-step explanation:
it is a combination of a cone and half a sphere.
the volume of a cone is
ground area × height / 3
the ground area is a circle, so we have
pi×r²×h/3
in our case
pi×(10/2)²×12/3 = pi×5²×4 = pi×25×4 = 100pi
the volume of a sphere is
4/3 × pi×r³
and half a sphere is then
4/3 / 2 × pi×r³ = 4/6 × pi×r³ = 2/3 × pi×r³
in our case
2/3 × pi×5³ =2/3 × pi×125 = 250/3 × pi
together we get
100pi + 250/3 × pi = 300/3 × pi + 250/3 × pi =
= 550/3 × pi = 575.9586532... cm³ ≈ 576 cm³
if we use 3.14 for pi we get
575.6666666... cm³ ≈ 576 cm³
Express as single logarithm.
1/2 log (x) - 2 log (2y) + 3 log (z)
Answer:
Step-by-step explanation:
Log Rules
A plus sign between logs means multiply.A minus between logs means divideA number in front of the log means a powerGivens
1/2 log (x)
log (x)^(1/2)
2 log(2y)
log(2y)^2
log(2^2y^2)
log(4y^2)
3 log(z)
log(z^3)
Solution
log(x)^(1/2) * log(z^3) / log(4 y^2)
Answer: log(x^1/2)*(z^3)/(4y^2)
Ayudaa no le entiendoo.
[tex]3 {x}^{5} + 2 {x}^{3} + x + {x}^{2} - 2x + 5 = [/tex]
[tex]3 {x}^{5} + 2 {x}^{3} + {x}^{2} - x + 5[/tex]
Answer:
3x⁵ + 2x³ + x² -x + 5
Step-by-step explanation:
(3x⁵ + 2x³ + x) - (-x² + 2x - 5) <== multiply to remove the parenthesis
1(3x⁵ + 2x³ + x) - 1(-x² + 2x - 5)
1(3x⁵) + 1(2x³) + 1(x) + -1(-x²) + -1(2x) + -1(-5) <== remember multiplying 2 negatives, makes a positive
3x⁵ + 2x³ + x + x² - 2x + 5 <== combine any like terms
3x⁵ + 2x³ + x² -x + 5 <== make sure that your answer is in Standard form (in decreasing degrees)
Hope this helps!
solve the system of equations 25-x=-4y and 3x-2y=30
Answer:
the system of equations 25-x=-4y and 3x-2y=30
Step-by-step explanation:
the system of equations 25-x=-4y and 3x-2y=30
Answer:
(7, -9/2)
x=7
y=-9/2
Step-by-step explanation:
1. x=25+4y
2. 3x-2y=30
substitute 1 in 2
3. 75+12y-2y=30
simplify
10y=-45
y=-9/2
substitute y in to the second equation 3x-2y=30
3x+9=30
3x=21
x=7
Lila is ordering photos online. Each photo costs $0.08, and there is a shipping charge of $4.00.
How many photos can Lila order for $20?
Answer:
4 almsot 5. The exact answer is 4.90196078431
Step-by-step explanation:
each photo cost $4.08 with shipping. 20 dvided by 4.08 is 4.90196078431. But since you cant order 0.9 of a photo Lila can order only 4.
Please help I'm stuck
Answer:
C, those who vote FOR the Ballet Measure tend to be from District 2.
Step-by-step explanation:
Look carefully, read the questions! Okay! Cya!
Those who vote for the ballot measure tend to be from District 2. The correct option is C.
How to calculate the relative frequency of the data?To calculate the relative frequency, we need to divide each cell value by the total number of people who voted. This will give us the proportion of people in each category.
District 1:
For: 13/75 ≈ 0.1733
Against: 12/75 ≈ 0.16
District 2:
For: 15/75 ≈ 0.2
Against: 10/75 ≈ 0.1333
District 3:
For: 9/75 ≈ 0.12
Against: 16/75 ≈ 0.2133
Based on the relative frequencies, we can see that the highest proportion of people who voted for the ballot measure is from District 2 (0.2),
While the highest proportion of people who voted against the ballot measure is from District 3 (0.2133). Therefore, the association that the two-way table suggests is:
The correct option is C.
To know more about relative frequency follow
https://brainly.com/question/26177128
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NEED HELP ASAPPP!!!!!!
Answer:
B
Step-by-step explanation:
Square both sides, and get s^2 = k3/p
next multiply both sides by p and get (s^2)(p)=k3
Therefore k3 equals s^2 times p
what is the angle of elevation of the sun when the shadow of a pole of 18m high is 6√3m long? ( i need step by step explanation pls I'm having a class test tmr pls help)
Answer:
See diagram below
Step-by-step explanation:
arctan (angle ) = 18 / (6 sqrt3) = 60 degrees
Step-by-step explanation:
height of pole = 18m = p
length of shadow = 6[tex]\sqrt{3}[/tex] m = b
now,
tan α = p/b
= 18/6[tex]\sqrt{3}[/tex]
= [tex]\sqrt{3}[/tex]
or, tan α = tan 60
α = 60
Therefore angle of elevation of the sun is 60.
what is the surface area of this drawing
Answer:
should be 512 inches because l x w x h (8x8x8) is 512
Answer please please please
Answer:
1. 18?, 2. 10?, 3. 16?, 4. 36?, 5. 10?, 6. 18?.
Step-by-step explanation:
I'm not sure though your picture was not clear enough and I have quite bad eyesight.
HELPPPPP
Three students are randomly selected from 10 students of different weights.
Find the probability that the heaviest one out of the selected students is the 4th heaviest among the 10 students.
Answer:
3/100
Step-by-step explanation:
3 students out of 10 were chosen and the fourth heaviest is 1/10
3/10 * 1/10 = 3/100
Benin is sawing boards to make a deck. What is the area of the deck, shown
here?
La
10 ft
7 ft
5 ft
6 ft
help pls (explain to)
Answer:
C. 108.5 square feet
Step-by-step explanation:
Area of the deck
Area (left triangle) + Area (rectangle) + Area (right triangle)1/2 x 6 x 7 + 10 x 7 + 1/2 x 7 x 521 + 70 + 17.591 + 17.5108.5 square feetTwo number cubes are rolled. What is the probability of rolling either a total greater than 9 or a multiple of 5?
A) 7/18
B) 13/36
C) 5/18
D) 2/9
the probability.
solution:P(5 or 10 or 11 or 12)
= P(5)+P(10)+P(11)+P(12)
= 4/36+3/36+2/36+1/36
= 10/36
= 5/18
so, the correct answer is option C) 5/18.
a rectangle has an area of 473.2 m one of the sides is 9.1m in length answerh what is the perminiter
length= 9.1m
area= 473.2m^2
to find the perimeter:Substitute values for length (l) and breadth (b) into the perimeter formula.
solution:473/9.1=52
perimeter of rectangle= l+l+b+b
=52+52+9.1+9.1
P=122.2m
Which fee could decrease an investor’s return on investment when the investor may not have bought or sold any stock for a significant period of time?
Answer:
the answer is B
Step-by-step explanation:
Answer:
inactivity fee
Step-by-step explanation:
consider the system of linear inequalities {y<1/2x-1, y>2x+3} Which points are in the solution set?
a. (-4,-3)
b. (1,3)
c. (-5,-7)
d. (3,0)
e. (-6,-5)
f. (-7,-2)
g. (-4,-4)
h. (-3,-3)
Answer: g, e
e. (-6,-5)
g. (-4,-4)
Step-by-step explanation:
While we could plug in each value of data points to see if it solves correctly, a quicker way to solve this problem is to graph.
The points that are a solution to the set are points in the area of overlap created by the two equations graphed. Points that are on a line in the overlap, but not over, are not a solution because the equations do not include "equal to."
See attached for the graph.
The solution set of y < 1/2x - 1 and y > 2x + 3 are their true values
The solution set of the system of linear inequalities are (-6,-5) and (-4,-4)
How to determine the solution set?The system of linear inequality is given as:
y < 1/2x - 1
y > 2x + 3
Start by plotting the graph of both inequalities
Because both inequalities do not have any form of equation i.e. ≤ and ≥, then only the points in the shaded area represents the solution set of the inequality.
The points in the shaded area are (-6,-5) and (-4,-4)
Other points are either outside the shaded area or on the line of the inequalities
Hence, the solution set of the system of linear inequalities are (-6,-5) and (-4,-4)
Read more about inequalities at:
https://brainly.com/question/18881247
What is 28x²y + 38xy - 6y factored?
Answer:
(2y)(7x-1)(2x+3)
Step-by-step explanation:
first, all the terms have a 2 and a y in common. you can take that out of every term. then i just used the quadratic x factor method, you can find out what it is via the internet, its the fastest option to factor if possible :)
Answer:
[tex]=2y (7x-1) (2x+3)[/tex]
Step-by-step explanation:
[tex]28x^{2}y + 38xy - 6y[/tex]
[tex]=2y(14x^{2} +19-3)[/tex]
[tex]=(7x-1) (2x+3)[/tex]
[tex]=2y(7x-1) (2x+3)[/tex]
