Answer:
154.96%
Step-by-step explanation:
There are twenty classes at each of two middle schools. The number of students in each class at each school is shown in the dot plots below.
Number of Students in Each Class at Poplar Middle School
A dot plot. A number line going from 20 to 29 labeled Number of Students. There are 3 dots above 20, 5 above 21, 7 above 22, 4 above 23, 1 above 24, and 0 above 25, 26, 27, 28, and 29.
Number of Students in Each Class at Oak Middle School
A dot plot. A number line going from 20 to 29 labeled Number of Students. There is 1 dot above 20, 2 above 21, 2 above 22, 4 above 23, 3 above 24, 2 above 25, 2 above 26, 2 above 27, 1 above 28, and 1 above 29.
Which statement correctly compares the mean number of students for the data in the plots?
There are about 2 more students in each class at Poplar Middle School than at Oak Middle School.
There are about 2 more students in each class at Oak Middle School than at Poplar Middle School.
There are about 5 more students in each class at Poplar Middle School than at Oak Middle School.
There are about 5 more students in each class at Oak Middle School than at Poplar Middle School.
The dot plot is missing, so i have attached it.
Answer:
B: there are about 2 more students in each class at Oak Middle School than at Poplar Middle School.
Step-by-step explanation:
From the dot plot attached, we can find the average number of students per class for each school.
For Poplar Middle School;
Total number of students = (20 × 3) + (21 × 5) + (22 × 7) + (23 × 4) + (24 × 1) = 435 students.
There are 20 classes.
Thus;
average number of students per class = 435/20 = 21.75
For Oak Middle School;
Total number of students = (20 × 1) + (21 × 2) + (22 × 2) + (23 × 4) + (24 × 3) + (25 × 2) + (26 × 2) + (27 × 2) + (28 × 1) + (29 × 1) = 483
Average number of students per class ; 483/20 = 24.15
Difference in average = 24.15 - 21.75 = 2.40
This implies that there are about 2 more students in each class at Oak Middle School than at Poplar Middle School.
Answer:
da answer is B lesss goooo
Step-by-step explanation:
In AABC, AB, AC, and BC are called
A sides
B. interior angles
C. vertices
D. exterior angles
Answer:
sides.
Step-by-step explanation:
The diameter of a tree trunk is 23 in. what is the circumference?
Answer:
72.2566311
Step-by-step explanation:
Circumference = 2πr
We don't have the radius, but we do know that half of the diameter is the radius, so 23/2 = 11.5. r = 11.5
Now, plug the radius into the equation:
2π(11.5)
Solve:
2π(11.5) = 72.2566311
Find the perimeter of the figure. Round your answer to the nearest hundredth.
12 m
15 m
12 m
21 m
Answer:
68.56 m
Step-by-step explanation:
circumference of semi-circle: 15π/2 = 23.56
23.56 + 12 + 12 + 21 = 68.56
it taken 12 days for 10 men assemble a machine how long could it take for 15 men to assemble the machine?
How many times greater is the value of the 7 in 171,889 than the value of the 7 in 117,889. Please help me!
Can u plz help me with 7,8,9
Answer:
7 :ans is 10
8: ans is 25
9: ans is 46
Find the circumference of the circle and round to the nearest tenth
Answer:
The circumference is 45.2yd
Step-by-step explanation:
Given
[tex]d = 14.4[/tex] --- diameter
Required
Determine the circumference
The circumference is calculated as:
[tex]C =\pi d[/tex]
So, we have:
[tex]C =\pi * 14.4[/tex]
Take pi a 3.14
[tex]C =3.14 * 14.4[/tex]
[tex]C =45.216[/tex]
Approximate
[tex]C =45.2yd[/tex]
Edwin buys a video game that is $55. It is on sale for 20% off, and he has to pay 10% sales tax. Is the final cost the same as a 10% discount? Why or why not?
Answer:
No If it would be 10 percent of the total would be the price tag without tax
Step-by-step explanation:
Beetles may be the most varied order of animals. New beetle species are authenticated, completely unpredictably, at a typical rate of one every 7.0 months. A supplement to a guide is planned to be published after 20 new species have been discovered. a) What are the expected value and standard deviation of the number of months (treated as a continuous measure of time) until the supplement is published
Answer:
The mean until the supplement is published is 140 months, while the standard deviation is of 11.8 months.
Step-by-step explanation:
The Poisson distribution is used to solve this question, as we have only the mean. In this distribution, the standard deviation is the square root of the mean.
In this question, we have that:
Species are discovered at a rate of once every 7 months.
A supplement to a guide is planned to be published after 20 new species have been discovered.
a) What are the expected value and standard deviation of the number of months (treated as a continuous measure of time) until the supplement is published?
Mean is: 7*20 = 140 months.
Standard deviation is [tex]\sqrt{140}[/tex] = 11.8 months.
The mean until the supplement is published is 140 months, while the standard deviation is of 11.8 months.
The ratio of 8:5=(?)%
Answer:
The ratio of 8:5 = 160%
Step-by-step explanation:
1. Divide the first number by the second number
2. Multiply by 100 to convert to a percentage
Measurements of a Circle
(Giving correct answer brainliest)
Answer:
B. [tex] \frac{9}{20}\pi [/tex]
Step-by-step explanation:
Central angle [tex] \theta = 81\degree [/tex]
Radius (r) = 1 unit
[tex] l(\widehat {HJ}) = \frac{\theta}{360\degree} \times 2\pi r[/tex]
[tex] l(\widehat {HJ}) = \frac{81\degree}{360\degree} \times 2\pi r[/tex]
[tex] l(\widehat {HJ}) = \frac{81}{360} \times 2\pi (1)[/tex]
[tex] l(\widehat {HJ}) = \frac{9}{40} \times 2\pi [/tex]
[tex] l(\widehat {HJ}) = \frac{9}{20}\pi [/tex]
Each day a manufacturing plant receives a large shipment of drums of Chemical ZX-900. These drums are supposed to have a mean fill of 50 gallons, while the fills have a standard deviation known to be 0.6 gallon. Suppose the mean fill for the shipment is actually 50 gallons. If we draw a random sample of 100 drums from the shipment, what is the probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons
Answer:
0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, 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.
Suppose the mean fill for the shipment is actually 50 gallons. Standard deviation of 0.6 gallons.
This means that [tex]\mu = 50, \sigma = 0.6[/tex]
Sample of 100:
This means that [tex]n = 100, s = \frac{0.6}{\sqrt{100}} = 0.06[/tex]
What is the probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons?
This is the pvalue of Z when X = 50.12 subtracted by the pvalue of Z when X = 49.88. So
X = 50.12
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{50.12 - 50}{0.06}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
X = 49.88
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{49.88 - 50}{0.06}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.9772 - 0.0228 = 0.9544
0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.
PLS HELP URGENT
In triangle PQR.
Sis the point on PR such that angle RSQ = 90°
RQ = 14 cm
RS -- 10 cm
SP - 5 cm
Work out the length of PQ.
PQ=11
PS^2+SR^2=QR^2
PS^2+PS^2=PQ^2
9514 1404 393
Answer:
11 cm
Step-by-step explanation:
The law of cosines can be helpful here. In order to find PQ, we must know the cosine of the angle R. Fortunately, SOH CAH TOA reminds us it is ...
Cos = Adjacent/Hypotenuse
cos(R) = 10/14 = 5/7
__
The law of cosines gives us the relation ...
PQ^2 = PR^2 +QR^2 -2·PR·QR·cos(R)
PQ^2 = 15^2 +14^2 -2(15)(14)(5/7) = 121
PQ = √121 = 11
The length of PQ is 11 cm.
_____
Alternate solution
This can be solved using the Pythagorean theorem twice.
QS^2 = QR^2 -SR^2 = 14^2 -10^2 = 96
PQ^2 = PS^2 +QS^2 = 5^2 +96 = 121
PQ = √121 = 11
Measure of angle R =49 find the measure of angle O
Answer:
angle O is equal to 41°
I hope it's helps you
How much will you pay for an item that is $28.55 on sale for 60% off?
$17.13
$11.42
$17.00
$11.50
Answer: That would be $11.42
Step-by-step explanation: Hope this helped!! :)
Use the distributive property to create an equivalent expression to 6(3j + 4 +j)
Answer:
24j + 24
Step-by-step explanation:
6(3j + 4 +j)
6(4j + 4)
24j + 24
8 x 10 to the 5th power is how many time as great as 8 x 10 to the - 1 power
Answer:
B
Step-by-step explanation:
Which angles are supplementary to each other?
someone help me plzz
Answer:
1/4
Step-by-step explanation:
.
HELP PLS HURRY
Which table represents a nonlinear function
A.) x y
2 -9
4 1
6 11
B.) x y
2 -14
4 -16
6 -18
C.) x y
2 0
4 6
6 16
D.) x y
2 -9
4 6
6 -3
Answer:
(C)
Step-by-step explanation:
please click the heart and rate excellent and brainleist to tysm❤☺️☻♨️♨️☻☺️❤
does -(-(-e) = -e?
qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq
Answer:
wth is this
show the pic of the question
54,872 in expanded form
Answer:
54,000+800+70+2
Step-by-step explanation:
Answer:
Here is an answer
54,000+800+70+2
pls answer this.
don't answer 1&2. just answer 3-10 thanks in advance!
Answer:
3. m<4=101°
4. sum of angle on a straight line
5. m<8= 101°
6.m<3=180-101°
=79°
7.sum =180°
8. alternate angles
9. and m<8
10. 180°
Answer:
3.
m<1=79°
m<4=180-79°=101°(linear pair)
4.
<7+<8=180°(straight line)
5.
m<6=101
m<8=101°[vertically opposite angle]
6.
m<3=180-101=79°
7.
180°
8.
alternate angle
9.
and <8
10.
180°
Which property is being shown in this equation?
4(2n - 5) = 8n - 20 *
Commutative
Associative
Identity
Distributive
Transitive
Answer:Distributive
Step-by-step explanation:
The graph shows the function?
Answer:
The graph shows the function
✔ y = sin(x) – 6
.
The function rule y = cos(x) + 2 describes graph
✔ b shown here.
If xy + y² = 6, then the value of dy/dx at x= -1 is
Hi there!
[tex]\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}[/tex]
[tex]\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}[/tex]
We can calculate dy/dx using implicit differentiation:
xy + y² = 6
Differentiate both sides. Remember to use the Product Rule for the "xy" term:
(1)y + x(dy/dx) + 2y(dy/dx) = 0
Move y to the opposite side:
x(dy/dx) + 2y(dy/dx) = -y
Factor out dy/dx:
dy/dx(x + 2y) = -y
Divide both sides by x + 2y:
dy/dx = -y/x + 2y
We need both x and y to find dy/dx, so plug in the given value of x into the original equation:
-1(y) + y² = 6
-y + y² = 6
y² - y - 6 = 0
(y - 3)(y + 2) = 0
Thus, y = -2 and 3.
We can calculate dy/dx at each point:
At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.
At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.
Help! I am being timed. Thank you
Answer:
C
Step-by-step explanation:
Question A researcher wants a 30 milliliter acid solution with a concentration of 8%. She has concentrations of 2% and 11%. How much of each solution must she use to get the desired concentration?
Answer:
The researcher needs 20 milliliters of 11 percent concentrated acid and 10 milliliters of 2 percent concentrated acid.
Step-by-step explanation:
Given that a researcher wants a 30 milliliter acid solution with a concentration of 8%, and she has concentrations of 2% and 11%, to determine how much of each solution must she use to get the desired concentration, the following calculation must be performed:
100 x 0.11 + 0 x 0.02 = 11
90 x 0.11 + 10 x 0.02 = 10.1
80 x 0.11 + 20 x 0.02 = 9.2
70 x 0.11 + 30 x 0.02 = 8.3
66.666 x 0.11 + 33.333 x 0.02 = 8
30 x 0.6666 = 20
Therefore, the researcher needs 20 milliliters of 11 percent concentrated acid and 10 milliliters of 2 percent concentrated acid.
Use the figure below and 2-3 sentences to explain the following:
The side opposite angle E is side ____?
The side adjacent to angle E is side ____?
The hypotenuse is side ____?
Answer:
See below
Step-by-step explanation:
The side opposite angle E is side e (DF)
The side adjacent to angle E is side d (EF)
The hypotenuse is side f (ED)