Answer:
25 boxes could be stacked safely on the pallet.
Step-by-step explanation:
To determine how many boxes could you stack safely on a pallet if the pallet is 5 feet deep, five feet across, every box is 1 x 1 and the maximum safe stacking height is 5 boxes, the following calculation should be performed:
Pallet = 5 x 5 = 25 square feet
Box = 1 x 1 = 1 square foot
25/1 = 25
Therefore, 25 boxes could be stacked safely on the pallet.
forty-five percent of the students in a dorm are business majors and fifty-five percent are non-business majors. business majors are twice as likely to do their studying at the library as non-business majors are. half of the business majors study at the library. if a randomly slected student from the dorm studies at the library, what is the probability the student is a business major
Solution :
Defining the following events as :
B : Being a Business major
α : Studying at the library
∴ Given that :
[tex]$P(B) = \frac{45}{100}$[/tex]
= 0.45
Again, P [ Studying at the library | Being a Business major ] = 2 P [ Studying at the library | Being a non business major ]
[tex]$P[ \alpha | B] = 2 P[\alpha | B^C]$[/tex] .......(1)
Again,
[tex]$P[\text{Studying at the library } | \text{ Being a business major}] = \frac{1}{2} = 0.50$[/tex]
[tex]$P(\alpha | B) = 0.50$[/tex]
From (1), we get
[tex]$P(\alpha | B^C) = \frac{1}{2} . P(\alpha | B)$[/tex]
[tex]$=\frac{1}{2} \times 0.50$[/tex]
= 0.25
Therefore, we need,
= P[ The students is a Business major | The student studies at the library ]
[tex]$=P(B | \alpha)$[/tex]
By Bayes theorem
[tex]$=\frac{P(B). P(\alpha | B)}{P(B).P(\alpha | B) + P(B^C). P(\alpha | B^C)}$[/tex]
[tex]$=\frac{0.45 \times 0.50}{0.45 \times 0.50 + 0.55 \times 0.25}$[/tex]
= 0.6207
Point-Slope Form of a Line
Please help, question attached.
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Answer:
TrueFalseStep-by-step explanation:
Dilation has no effect on angle measures, so ∠A = ∠A'.
Point A is the center of dilation, so doesn't move. Any line through point A will still go through point A after dilation. Lines AD and A'D' are not distinct.
*20 points*
What is the probability of drawing yellow marble followed by a red marble from a bag containing 12 yellow marbles, 14 red marbles, and 15 green marbles if the first marble is not replaced?
a. 192/1,849
b. 18/43
c. 21/205
Answer:
c: 21/205
Step-by-step explanation:
The probability of choosing a yellow marble first is 12/41 bc there are 12 yellow marbles and 41 marbles to choose from.
The probability of choosing a red marble is 14/40 bc there are 14 red marbles and 40 marbles to choose from( since you have removed the marble you first chose so there are 40 marbles left).
Multiplying these two together, 12/41 * 14/40 = 168/1640, simplified it's 21/205.
linear equation 7x+25=9
Answer:
x = -16/7
Step-by-step explanation:
7x+25=9
Subtract 25 from each side
7x+25-25=9-25
7x = -16
Divide each side by 7
7x/7 = -16/7
x = -16/7
Answer:
[tex]7x + 25 = 9 \\ 7x = 9 - 25 \\ 7x = - 16 \\ x = \frac{ - 16}{7} \\ x = - 2.29[/tex]
Step-by-step explanation:
I hope it helped U
stay safe stay happy
Which is the
Simplified form
r-7+s-12
Answer:
r + s - 19
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
r - 7 + s - 12
Step 2: Simplify
Combine like terms [constants]: r + s - 19Find hypotenuse,perpendicular and base
Answer:
Consider the angle Ф.
the line opposite to Ф is the perpendicular -> PQ = 5cm
The base is the line with whom the perpendicular has 90° angle -> PR = 12cm
Finally, hypotenuse is the line opposite to the 90° which is QR= 13cm
Answer:
hypotenuse = QR = 13 cm
Perpendicular = PQ = 5 cm
Base = PR = 12 cm
what is the uniqueness of comeplex integration from line integaration?
A factory makes twenty-three million, five hundred fifty candies each month. This number in standard form is
Answer:
23,000,550
Step-by-step explanation:
A million has six zeroes, so twenty three million is
23,000,000
Since five hundred fifty is not in the thousands, it replaces the last trio of zeroes.
We have the number in standard form as
23,000,550
Answer:
23000550
Step-by-step explanation:
If this fish tank is filled halfway, how much water will it hold?
96 cubic inches
768 cubic inches
48 cubic inches
384 cubic inches
Answer:
384 cubic inches
Step-by-step explanation:
first find the volume of the fish tank by multipying the length, width, and height.
v=lwh
=(16in)(4in)(12in)
= 768 cubic inches (This answer is equal to the volume of the entire fish tank, however we need to find how much water half the tank can hold. To figure this out, we need to divide 768 by 2. And you should get 384 cubic inches)
Answer:
384
Step-by-step explanation:
took the quiz
Please find the answer
Answer:
0.3 is the right answer.
Step-by-step explanation:
hope this helps
Plz help’
!
I’ll be giving extra points
because it's value will always be same
Answer:
This value doesn't depend on x or y
It'll be the same things always
Can someone do #8 #9 & #10 for me please?!❤️
Answer:
8. 72% × 850
= 72/100 × 850
= 72 × 8,5
= 612 ( b )
9. Poin B = 4 ( b )
Answer:
8. B
9. B
10. C
Step-by-step explanation:
8. To find 72% of 850, you would multiply 0.72 x 850. When you do that, it gives you 612.
9. B is on the number 4.
10. The expression is asking, "What is the absolute value of 28?". Absolute value means that the number inside will always be positive. For example, if it was -28, the absolute value would turn to 28. Since the question has 28 already positive, there is no change, so the answer would be 28.
1 gallon = 3.8 liters 1 mile = 1.6 kilometers using the conversion above,a bus that uses that uses 10 liters of gasoline to travel 10 liters of gasoline to travel 100 kilometers would have an efficiency rating closest to a) 15 miles per gallon b) 24 miles per gallon c) 38 miles per gallon d) 60 miles per gallon
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Answer:
b) 24 miles per gallon
Step-by-step explanation:
The usual metric measure of vehicle fuel efficiency is liters per 100 km. Greater efficiency is indicated by a lower value.
In the US, the measure is usually miles per gallon. Greater efficiency is indicated by a higher value. Since we want the efficiency expressed in miles per gallon, we need to divide distance by fuel consumption.
(distance)/(fuel used) = (100 km)/(10 L)
= (100 km)/(10 L) × (1 mi)/(1.6 km) × (3.8 L)/(1 gal) = (100×3.8)/(10×1.6) mi/gal
= 23.75 mi/gal ≈ 24 mi/gal
fill in each balance???
Answer:
Step-by-step explanation:
Take the beginning number and add or subtract each transaction to get a new balance. For example,
349.45
- 23.42 = 326.03
- 14.95 = 311.08
+ 276.50 = 587.58
- 219.93 = 367.65
- 76.84 = 290.81
Solve for x.
A. 37
B. 27
C. 30
D. 31
Answer:
B
Step-by-step explanation:
The formula for finding the relationship between a secant and a tangent is
tangent length ^2 = external segment secant/full length of secant
In this case
60^2 = 48*(x + 48) Expand
3600 = 48*(x + 48) Remove the brackets/
3600 = 48x + 48^2 Expand
3600 = 48x + 2304 Subtract 2304 from both sides
3600 - 2304 = 48x
1296 = 48x Divide both sides by 48
1296 / 48 = x
x = 27
Find the unit price of each of the following items Round your answer to the nearest tenth
frozen orange juice
16.0% at $2.01
12 oz at $1.69
Answer:
12.56 cents
14.08 cent
Step-by-step explanation:
The unit price for each of the following items could be obtained thus :
The unit price = price of one item
Therefore, given that x numbers of a certain item cost y ;
The unit price will be : y / x
frozen orange juice
16.0 oz at $2.01
12 oz at $1.69
If 16 oz cost $2.01
1 oz = $2.01 / 16 = $0.125625 * 100 = 12.56 cents
If 12 oz = $1.69
1 oz = $1.69 / 12 = $0.1408333 * 100 = 14.08 cent
Evaluate.
(45)3
64/125
16/25
12/15
Answer:
64
------
125
Step-by-step explanation:
(4/5)^3
We can rewrite this as
4^3
----------
5^3
64
------
125
(x2 + 3x + 1) + (2x2 + 2x)
HINT
Answer:
3x^2+5x+1
Step-by-step explanation:
(x^2 + 3x + 1) + (2x^2 + 2x)
Combine like terms
x^2 + 2x^2 + 3x +2x +1
3x^2+5x+1
Answer:
[tex]3x^{2} + 5x + 1[/tex]
Step-by-step explanation:
Step 1: Combine like terms
[tex](x^{2} + 3x + 1) + (2x^{2} + 2x)[/tex]
[tex](x^{2} + 2x^{2} + (3x + 2x) + (1)[/tex]
[tex]3x^{2} + 5x + 1[/tex]
Answer: [tex]3x^{2} + 5x + 1[/tex]
In the data set shown below, what is the value of the quartiles?
{4.3, 4.5, 4.7, 5, 5.5, 5.7, 5.9, 6, 6.1}
A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95
B. Q1 = 4.7; Q2 = 5.5; Q3 = 6
C. Q1 = 4.7; Q2 = 5.5; Q3 = 5.9
D. Q1 = 4.6; Q2 = 5.5; Q3 = 5.92
Answer:
A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95Step-by-step explanation:
Q2 is the median of the data set:
Q2 = 5.5Q1 is the median of lower half:
Q1 = (4.5 + 4.7)/2 = 4.6Q3 is the median of upper half:
Q3 = (5.9 + 6)/2 = 5.95Correct choice is A
Answer:
A.Q1 = 4.6;Q2 = 5.5;Q3 = 5.95
Step-by-step explanation:
I hope this helps
VG¯¯¯¯¯¯¯¯=12.2 in. PG¯¯¯¯¯¯¯¯=13.1 in. Find the radius of the circle.
Answer:iiii
Step-by-step explanation:iiiii
Answer:
17.9
Step-by-step explanation:
Find the arc length of the 3/4 of a circle with a radius of 5
Answer:
7.5 pi
Step-by-step explanation:
The formula for arc length of a sector is denoted as
[tex]\frac{x}{360}2\pi r[/tex], where x is the central angle of the sector.
Since the sector is 3/4 of a circle, the central angle will be 3/4 of 360 degrees.
3/4 of 360 is 270, so we have our central angle. We also have our radius which we can plug into the formula.
[tex]\frac{270}{360}2(5)\pi[/tex]
2 times 5 is equal to 10, and 270/360 simplifies to 3/4. 3/4 times 10 is equal to 7.5, so the answer is 7.5 pi
help it will really hep with summer school.
Answer:
10 + 5 + 6 × 5 - 2 × 4Step-by-step explanation:
Do MDAS:10 + 5 + 6 × 5 - 2 × 4=10 + 5 + 30 - 2 × 4= 10 + 5 + 30 - 8= 15 + 30 - 8= 45 - 8= 37[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a square
Answer:
Prove that all sides are congruent and that the slopes of consecutive sides are opposite reciprocals. Step-by-step explanation: In order to two segmets to be perpendicular, the slope of both lines must be opposite and reciprocals, having a 90° interception and forming a square.
Are the two triangles below similar?
U
ВО
56
No because there are not to pairs of congruent corresponding angles
Yes because there are two pairs of congruent corresponding angles
No because the corresponding sides are not proportional
Yes because the corresponding sides are proportional
Answer:
Yes, because there are two pairs of congruent corresponding angles
Step-by-step explanation:
Two triangles are similar if they have the same angles. For triangle UVT on the left, we know that the sum of angles in a triangle is 180 degrees. There is one missing angle there, so the sum of angles is
80 + 55 + missing angle = 180
subtract 80+55 = 135 from both sides
45 = missing angle
Therefore, the angles in UVT are 45, 55, and 80
Similar, for XWY,
missing angle + 45 + 55 = 180
subtract 45 + 55= 100 from both sides
missing angle = 80
The angles for XWY are 45, 55, and 80. The angles are the same for both triangles, and there are three pairs of congruent corresponding angles (45, 55, and 80). Therefore, the triangles are similar
Complete the pattern ___ 8,579 ____85.7 8.57____
Answer:
the next one is .857 I hope this helps you :)
The method of tree-ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution.
1,2851,1871,2221,1941,2681,3161,2751,3171,275
Required:
a. Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviations.
b. Find a 90% confidence interval for the mean of all tree-ring dates from this archaeological site. (Round your answers to the nearest whole number.)
Answer:
a) The sample mean is 1260 and the standard deviation is 48.
b) The 90% confidence interval for the mean of all tree-ring dates from this archaeological site is (1230, 1290).
Step-by-step explanation:
Question a:
Mean is the sum of all values divided by the number of values. So
[tex]\overline{x} = \frac{1285 + 1187 + 1222 + 1194 + 1268 + 1316 + 1275 + 1317 + 1275}{9} = 1260[/tex]
Standard deviation is the square root of the sum of the differences squared between each value and the mean, divided by the one less than the sample size. So
[tex]s = \sqrt{\frac{(1285-1260)^2 + (1187-1260)^2 + (1222-1260)^2 + (1194-1260)^2 + (1268-1260)^2 + ...}{8}} = 48[/tex]
The sample mean is 1260 and the standard deviation is 48.
Question b:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So
df = 9 - 1 = 8
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.8595
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.8595\frac{48}{\sqrt{9}} = 30[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1260 - 30 = 1230
The upper end of the interval is the sample mean added to M. So it is 1260 + 30 = 1290
The 90% confidence interval for the mean of all tree-ring dates from this archaeological site is (1230, 1290).
In a closed box there are 7 blue balls and 5 red balls. Randomly pick one from the box one at a time until the ball is green, then stop. Find the probability that the person stops after the 4th time
Answer:
1/7 is the probabiltiy
Step-by-step explanation:
The quotient of three times a number and 4 is at least -16.
If anyone can help me I need to Define the variable and write an inequality, then solve.
Answer:
3x4≥−16
3x≥−64
x≥−643
x≥−2113
The answer is x≥−2113
What is the value of x?
Enter your answer in the box.
__units.
Please help click the picture to see the problem!
Using basic proportionality theorem
[tex]\\ \sf\longmapsto \dfrac{x}{10}=\dfrac{42}{15}[/tex]
[tex]\\ \sf\longmapsto 15x=42(10)[/tex]
[tex]\\ \sf\longmapsto 15x=420[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{420}{15}[/tex]
[tex]\\ \sf\longmapsto x=28[/tex]
