Answer:
8.3 is equal to eight tenths 3 hundredths
28 is equal to 28 tenths.
. Suppose that 10 students of a class of 50 undergraduates are chosen for a behavioral experiment. The total class consists of 15 freshmen, 18 sophomores, 10 juniors, and 7 seniors. If all students are equally likely to be picked, determine the probability of the group contains exactly seven seniors and three juniors.
Answer:
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
7 seniors, from a set of 7.
3 juniors, from a set of 10. So
[tex]D = C_{7,7} \times C_{10,3} = \frac{7!}{7!(7-7)!} \times \frac{10!}{3!(10-3)&} = 1 \times 120 = 120[/tex]
Total outcomes:
10 students froms a set of 50. so
[tex]T = C_{50,10} = \frac{50!}{10!(50-10)!} = 10272278170[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{120}{10272278170} \approx 0[/tex]
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
slope
y intercept
x intercept
Answer:
Step-by-step explanation:
y = mx + b
Here, m is the slope.
b is the y-intercept
x-intercept = -b/m
y = 3x -4
a) slope = 3
b) y-intercept = (-4)
c) x -intercept = -(-4)/3 = 4/3
[tex]y = \frac{1}{5}x-3[/tex]
a) slope = [tex]\frac{1}{5}[/tex]
b) y-intercept = (-3)
c) x -intercept = [tex]-\frac{1}{5}[/tex]÷(-3)
[tex]= \frac{-1}{5}*\frac{-1}{3}\\\\=\frac{1}{15}[/tex]
A circular pool has a radius of 10 feet. What is the area of the pool? Use 3.14 for it. The area of the pool is about ft?
Answer:
314ft^2
Step-by-step explanation:
The area of a circle is found using this equation:
A=3.14r^2
r = radius
so if we know the radius is 10ft, we can put that into the equation and it will read:
A=3.14(10)^2
^2 means squared, for clarification.
Using PEMDAS we know to do exponents first
A=3.14(100)
Now multiply
A=314
and don't forget to add your units and square!
A=314ft^2
Pizza Guy pizza delivery time for a pizza is
approximately normally distributed with a
mean of 22 minutes and a standard deviation
of 5. Pizza Guy guarantees delivery within 30
minutes or the pizza is free. What percent of
customers will get a free pizza?
a) 3.5% b) 4.5% c) 5.0% d) 5.5% e) 6.5%
Answer:
5.5%
Step-by-step explanation:
the pizza is free 5.5 so he need to deliver the pizza on time
I really need help quickly please!!!!
Answer:The third one is!!
Step-by-step explanation:
The commutative property of addition says that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4
PLEASE HELPPPPP ME IN BEGGING YOU
Answer:
im going to say its B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
All you gotta do is take each angle and subtract it from 180. Jus learned dis in geometry.
180-133= 47
180-108=72
180-119=61
on their first day, researchers explore a part of the ocean floor that is 60 feet below sea level. This depth can be represented by the integer -60. On their secon dive, researchers explore a deeper depth.
Write an inequality that represents the possible depth, d, of the researchers' second dive.
Answer:
d < - 60
Step-by-step explanation:
Given that:
Depth, d of ocean floor on first dive = 60 feets below sea level = - 60
Depth, d explored on second dive is deeper than that of fist dive
Hence, possible depth, d, explored on second dive can be represented by the inequality ;
d < - 60
plz help me with this
Answer:
You do it yourself jk There is a positive linearly accending correlation with an increase of 80 products for every increase of 10 employees respectively.y=8(x)+120initial products are the factory and increase per employeeWhen 2/3 tons of coal cost $13.50, what will in ton cost?
Answer:
20.25
Step-by-step explanation:
Divide 13.50 by 2 and then multiply by 3.
use the volume formula to find the volume of the prism.
Answer:
Step-by-step explanation:
Answer:12 1/2
Step-by-step explanation:
A company rents out 15 food booths and 23 game booths at the county fair. The fee for a food booth is
$150 plus $4 per day. The fee for a game booth is $95 plus $10 per day. The fair lasts for d days, and all the
booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the
company is paid.
The expression is
Answer:
290d + 245
Step-by-step explanation:
Hello! So what you do first is make two equations, then combine them.
For the food booths, the equation would be 15(4d) + 150
For the game booths, the equation would be 23(10d) + 95
Now simplify them.
Food booths: 60d + 150
Game booths: 230d + 95
Next, we combine the two equations to get one equation.
60d + 150 + 230d +95
Simplify even more...
290d + 245
This is going to be your equation. I don't know the number of days the fair went so I can't go any futher on this question. Hope this helps though!
6/5 of ______ is 30
Please help
It is 36.
180/5 = 36
5/5 = 1
When we put that together, we can see that our complete answer is:
36/1
The complete and simplified answer to the question what is 6/5 of 30 is:
36.
The line across which a figure is flipped is called the line of transformation.
True
False
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
GIVING BRAINLIEST TOO BEST ANSWERED
Solve for p.
−4.5 + p/6 = −18.9
A
p=−117.9
B
p = −108.9
C
p = −86.4
D
p = 140.4
Answer:
c p = -86.4
aww man I got to explain too I used this app called math - way they will explain it
The expression 6(x − 5) means the
A. sum of 6 and the sum of x and 5
B. product of 6 and sum of x and 5
C. product of 6 and difference of x minus 5
D. sum of 6 and the difference of x minus 5
What is the relation of the slopes of perpendicular lines or segments?
A) congruent
B) both positive
C)opposite reciprocals
D)both negative
Answer:
C
Step-by-step explanation:
In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects.
Answer: D both negative
Step-by-step explanation:
According to the graph, what is the experimental probability of selecting the letter C?
Number of occurrences of letters
16.7%
24%
16%
20%
Answer:
16%
Step-by-step explanation:
50 events and C shows 8
50/8 = 16%
Answer:
The Answer is 0.16 = 16%
In a landscape plan, a rectangular flower bed is designed to be 4 meters longer than it is wide. If 60 square meters are needed for the plants in the bed, what should the dimensions of the rectangular bed be?
Write the equation and your solution.
Answer:
i dk and stop callin me slime
Step-by-step explanation:
Dimension of rectangular bed is
length = 10 meters and width = 6 meters
Equation is [tex]w^2+4w-60=0[/tex]
Given :
a rectangular flower bed is designed to be 4 meters longer than it is wide
60 square meters are needed for the plants in the bed.
Let 'w' be the width of the flower bed
and 'L' be the length of the flower bed
Length is 4 meters longer than its width
Length L= w+4
We know that the area of rectangle = length times width
[tex]Area = L \cdot W\\A=(w+4)(w)\\A=w^2+4w[/tex]
Given that the area is 60 square meters
Replace A by 60 and solve for 'w'
[tex]60=w^2+4w\\w^2+4w-60=0\\(w+10)(w-6)=0\\w+10=0, w=-10\\w-6=0, w=6[/tex]
Width cannot be negative, so width = 6 meters
length = width +4 = 6+4=10 meters
Dimension of rectangular bed is
length = 10 meters and width = 6 meters
Learn more: brainly.com/question/19579804
I NEED HELP FAST Zane is determining whether the given value of the variable is a solution of the equation.
13 + h = 21 for h = 9
What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.
There are two ways to verify whether the value of ( h ) assumed to be equal to 9 satisfies the given equation:
13 + h = 21
13 - 13 + h = 21 - 13
0 + h = 8
h = 8
8 ≠ 9
13 + ( 9 ) = 21
22 = 21
22 ≠ 21
3) Conclude: The given value of ( h ) is not a solution of the given equation.
find the vertical asympotes y= 3/ x+5
Answer:
the vertical asymptotes is x= -5
what information is necessary to prove the triangles congruent by ASA? by AAS ? show your work please.
Answer:
See Explanation
Step-by-step explanation:
For ASA
[tex] \angle R \cong \angle E[/tex]
[tex] RQ \cong EF[/tex]
[tex] \angle Q \cong \angle F[/tex]
[tex] \triangle PRQ \cong \triangle GEF[/tex]
For AAS
[tex] \angle P \cong \angle G[/tex]
[tex] \angle R \cong \angle E[/tex]
[tex] RQ \cong EF[/tex]
[tex] \triangle PRQ \cong \triangle GEF[/tex]
Evaluate the expression below, if a = 3, b = 4, c = 12, and d = 1
Match each statement with the correct reasoning in the proof below given: AM = CM BM=DM
Answer: I think it’s cm = b, I think your image is very hard to see
Step-by-step explanation:
The given quadrilateral is a parallelogram.
What is a parallelogram?
A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
The proof is as follows;
STATEMENTS REASONS
1) AM = CM and BM = DM Given
2) m ∠ AMB = m ∠ DMC and
m ∠ AMD = m ∠ BMC Definition of Vertical angles
3) Δ AMB ≅ Δ DMC and
Δ AMD ≅ Δ BMC By SAS congruency criterion
4) AB = CD and
BC = AD BY CPCTC
5) ABCD is a parallelogram If both pairs of opposite sides of a
quadrilateral are congruent then it is
a parallelogram.
Hence, proved, ABCD is a parallelogram.
For more references on parallelograms, click;
https://brainly.com/question/29147156
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An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes. The taxi time has a bell/mound shape distribution. On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time. Round the final answer to 2 decimal places.
Answer:
The z score for your flight's taxi time is of 2.14.
Step-by-step explanation:
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.
An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes.
This means that [tex]\mu = 15, \sigma = 1.4[/tex]
On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time.
This is Z when [tex]X = 18[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{18 - 15}{1.4}[/tex]
[tex]Z = 2.14[/tex]
The z score for your flight's taxi time is of 2.14.
You can convert the variate which tracks heights of trees to standard normal variate. That value of standard normal variate is called the z score and shows the area of the considered area in the plot of the standard normal distribution.
The z score for our flight's taxi time is approx 2.14286
How to convert a normal distribution variate to standard normal distribution variate?Suppose you have got a normal distribution variate with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] (let the variate is denoted by X), then we have
[tex]X \sim N(\mu, \sigma)[/tex]
To convert it to standard normal distribution with mean 0 and the standard deviation as 1 ( [tex]Z \sim N(0,1)[/tex] ), we have:
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]
For the given case we have:
Let the average taxi time be tracked by random variable X, then, as the mean time is 15 minutes, and the standard deviation 1.4 minutes , thus,
[tex]X \sim N(15, 1.4)[/tex]
Converting it to standard variate:
[tex]Z = \dfrac{X - 15}{1.4}[/tex]
Since the observed taxi time was 18 minutes, thus, we have X = 18,
Getting the z score:
[tex]Z = \dfrac{18 - 15}{1.4} = \dfrac{3}{1.4} \approx 2.14286[/tex]
Thus,
The z score for our flight's taxi time is approx 2.14286
Learn more here about normal distribution here:
brainly.com/question/14989264
wore
Jackie buys 5kg of flour.
She is making pizzas that each need 300g
of flour.
What is the maximum number of pizzas
that Jackie can make?
How much flour will Jackie have left?
Can you give me the answer
A $65.00 coat is now on sale for $52.00. What percent discount is given.
65-52=13
13x100
65 = 20%
the discount is given 20%
1.Encuentra de dos formas diferentes el área de las figuras mostradas en cada literal:
Answer:
Cuadrilátero A: [tex]A = y^{2}+4\cdot y +4[/tex]
Cuadrilátero B: [tex]A = a^{2}+6\cdot a + 9[/tex]
Step-by-step explanation:
Existen dos formas distintas de determinar las áreas de cada cuadrilátero:
(i) Obtener el área de cada cuadrado y sumar los resultados.
(ii) Calcular los lados del cuadrilátero grande y determinar el área.
Cuadrilátero A
Método (i)
[tex]A = y^{2}+2\cdot y +4+2\cdot y[/tex]
[tex]A = y^{2}+4\cdot y +4[/tex]
Método (ii)
[tex]A = (y+2)\cdot (y+2)[/tex]
[tex]A = y^{2}+4\cdot y + 4[/tex]
Cuadrilátero B
Método (i)
[tex]A = a^{2}+3\cdot a +9 + 3\cdot a[/tex]
[tex]A = a^{2}+6\cdot a +9[/tex]
Método (ii)
[tex]A = (a+3)\cdot (a+3)[/tex]
[tex]A = a^{2}+6\cdot a + 9[/tex]
How long a ladder must you have to reach the top of a 15-foot wall if the bottom of the ladder is placed 4 feet from the base of the wall? Round to the nearest tenth of a foot.
14.5 ft
15.5 ft
17.0 ft
19.0 ft
Answer:
15.5
Step-by-step explanation:
on edguenity
Answer:
15.5
Step-by-step explanation:
trust
Trophies for Gunther’s soccer team will cost $6.25 each, plus 15 cents for every word on the engraving. Which equation could be used to find the cost, c, of each trophy based on the number of words, w , on the engraving?
Select one:
c=6.25+0.15w
c=6.25−0.15w
c=6.25+15w
c=15+6.25w
Answer: c=6.25+0.15w
Step-by-step explanation:
Diana had 41 stickers. She put them in 7 equal groups. She put as many as possible in each group. She gave the leftover stickers to her sister. How many stickers did Diana give to her sister?
Answer:
5 to each group and she gave 6 stickers to he sister