Answer:
2.75 miles
Step-by-step explanation:
Given that,
Kelly walks 2 miles in 80 minutes.
We need to find how far Kelly will walk in 110 minutes if she walks at the same speed the whole time.
Speed = distance/time
So,
[tex]\dfrac{2}{80}=\dfrac{d}{110}\\\\d=\dfrac{2\times 110}{80}\\\\d=2.75\ \text{miles}[/tex]
Hence, she will walk 2.75 miles.
B
40
24
С
A
b
Find the length of “b” using
the Pythagorean Theorem.
Enter
Answer:
Look up Trigonometry Calculator and Put in the sides it helps a lot
Step-by-step explanation:
what is the formulae for the perimeter of a rhombus
Answer:
Add all sides together
Step-by-step explanation:
That is the formula for perimeter in ANY situation
Answer:
P=4a
Step-by-step explanation:
A median of a triangle may fall outside the triangle.
Answer:
false
Step-by-step explanation:
I dont think I need to explain,
workers are loading boxes onto a truck. So far, they have loaded 48 boves onto the truck. Acconding to their inventory, they still need to load 96% of the boxes on the truck. How many boxes do they need to load on the truck?
Answer:
1200 total boxes,
1152 more boxes need to be loaded
6. Colocar V (verdadero) o F (falso) según corresponda.
a) El anterior de -8 es -7.
b) El siguiente de - 10 es - 9.
c) 1 y - 1 son números consecutivos.
d) El opuesto de 21 es 12.
e) 3 es 5 unidades mayor que - 2.
f) -4 es 3 unidades menor que - 1.
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
Factorize 1000x³- 27y³
Find the surface area of the solid below. Round to the nearest tenth if needed.
Answer:
1350
Step-by-step explanation:
Answer:
2400 ft²
Step-by-step explanation:
Base = 30x30=900
Next, we have to find the height of the triangles.
15²+20²=c²
225+400=c²
625=c²
c=√625
c=25
Now we can find the surface area of all 4 triangles.
4(1/2)(30)(25)=1500
900+1500= 2400 ft²
Find the radius or diameter of the circle with the given dimentions.
r = 21 ft
Answer Choices:
a. 50 ft
b. 42 ft
c. 131.9 ft
d. 10.5 ft
Answer:
b. 42
Step-by-step explanation:
Your trying to find the diameter since radius is r
diameter is always double of radius
A manufacturing company has two retail outlets. It is known that 40% of all potentialcustomers buy products from outlet 1 alone, 35% buy from outlet 2 alone, and 10% buy fromboth 1 and 2. LetAdenote the event that a potential customer, randomly chosen, buys fromoutlet 1, and letBdenote the event that the customer buys from outlet 2. Suppose a potentialcustomer is chosen at random. For each of the following events, represent the eventsymbolically and then find its probability.
Required:
a. The customer buys from outlet 1.
b. The customer does not buy from outlet 2.
c. The customer does not buy from outlet 1 or does not buy from outlet 2.
d. The customer does not buy from outlet 1 and does not buy from outlet 2.
Answer:
[tex]P(A) = 0.50[/tex]
[tex]P(B') = 0.55[/tex]
[tex]P(A' U B') = 0.775[/tex]
[tex]P(A'B') = 0.275[/tex]
Step-by-step explanation:
Given
[tex]P(A\bar B) = 40\%[/tex] --- From outlet 1 alone
[tex]P(\bar A B) = 35\%[/tex] --- From outlet 2 alone
[tex]P(AB) = 10\%[/tex] --- From both
Solving (a): Buys from outlet 1;
This is represented as: P(A) and the solution is:
[tex]P(A) = P(A\bar B) + P(A B)[/tex]
[tex]P(A) = 40\% + 10\%[/tex]
[tex]P(A) = 50\%[/tex]
[tex]P(A) = 0.50[/tex]
Solving (b): Does not buy from outlet 2;
This is represented as: P(B') :
First, calculate the probability that the customer buys from 2
[tex]P(B) = P(\bar AB) + P(A B)[/tex]
[tex]P(B) = 35\% + 10\%[/tex]
[tex]P(B) = 45\%[/tex]
[tex]P(B) = 0.45[/tex]
Using the complement rule, we have:
[tex]P(B') = 1 - P(B)[/tex]
[tex]P(B') = 1 - 0.45[/tex]
[tex]P(B') = 0.55[/tex]
Solving (c): Does not buy from 1 or does not buy from 2
This is represented as: [tex]P(A' U B')[/tex]
And the solution is:
[tex]P(A' U B') = P(A') + P(B') - P(A'B')[/tex]
[tex]P(A' U B') = P(A') + P(B') - P(A') * P(B')[/tex]
Using complement rule:
[tex]P(A') = 1 - P(A)[/tex]
[tex]P(A') = 1 - 0.50[/tex]
[tex]P(A') = 0.50[/tex]
The equation becomes:
[tex]P(A' U B') = 0.50 + 0.55 - 0.50 * 0.55[/tex]
[tex]P(A' U B') = 0.775[/tex]
Solving (d): Does not buy from 1 or does not buy from 2
This is represented as:
[tex]P(A'B')[/tex]
And it is calculated as:
[tex]P(A'B') = P(A') * P(B)'[/tex]
[tex]P(A'B') = 0.50 * 0.55[/tex]
[tex]P(A'B') = 0.275[/tex]
please solve the question. unit 10: circles homework 2: Central angles, arc measures, and arc length.
Answer:
Step-by-step explanation:
(9x-22) + 61 + (5x-7) + 34 = 360
14x = 294
x = 21°
:::::
arc GK = 9x-22 = 167°
:::::
arc HJ = 5x-7 = 98°
:::::
arc HGK = arc GK + 61 + 34 = 262°
:::::
arc GKJ = arc GK + 34 = 201‡
Angles in a circle add up to 360 degrees.
[tex]\mathbf{x = 21}[/tex][tex]\mathbf{GK = 167}[/tex][tex]\mathbf{HJ = 98}[/tex][tex]\mathbf{HGJ = 262}[/tex][tex]\mathbf{GKJ = 201}[/tex]The given parameters are:
[tex]\mathbf{GH = 61}[/tex]
[tex]\mathbf{HJ = 5x - 7}[/tex]
[tex]\mathbf{JK = 34}[/tex]
[tex]\mathbf{KG = 9x - 22}[/tex]
The sum of angles in a circle is 360 degrees.
So, we have:
[tex]\mathbf{GH + HJ + JK + KG=360}[/tex]
So, we have:
[tex]\mathbf{(9x-22) + 61 + (5x-7) + 34 = 360}[/tex]
[tex]\mathbf{14x = 294}[/tex]
Divide both sides by 14
[tex]\mathbf{x = 21}[/tex]
GK is calculated as:
[tex]\mathbf{GK = 9x - 22}[/tex]
[tex]\mathbf{GK = 9 \times 21 - 22}[/tex]
[tex]\mathbf{GK = 167}[/tex]
HJ is calculated as:
[tex]\mathbf{HJ = 5x - 7}[/tex]
[tex]\mathbf{HJ = 5 \times 21 - 7}[/tex]
[tex]\mathbf{HJ = 98}[/tex]
HGJ is calculated as:
[tex]\mathbf{HGJ = HG + GK + KJ}[/tex]
[tex]\mathbf{HGJ = 61 + 167 + 34}[/tex]
[tex]\mathbf{HGJ = 262}[/tex]
GKJ is calculated as:
[tex]\mathbf{GKJ =GK + KJ}[/tex]
[tex]\mathbf{GKJ = 167 + 34}[/tex]
[tex]\mathbf{GKJ = 201}[/tex]
Read more about angles in a circle at:
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A holiday store is having a sale on bows and rolls of wrapping paper. One sign in the store states, “Buy 1 bow and 1 roll of wrapping paper for only $6.00.” A second sign in the store states, “5 bows and 1 roll of wrapping paper will only cost $10.00.”
In dollars and cents, the cost of a single roll of wrapping paper costs $
.
Answer:
3.00
Step-by-step explanation:
One bow and and 1 roll of wrapping paper cost 6.00$
so the roll by itself would cost 6.00$
Does anyone know how to do this???
Answer:
The school will approximately raise 1500p.
Step-by-step explanation:
For part a) you're asked to complete the possibility space, this simply means to fill out in the provided chart with all possible outcomes for spinning the two spinners and adding the result of each.
You are already given two examples, particularly the case of landing a 2 and 1 (hence you get a 3) and landing a 8 and 3 (hence you get an 11). Just finish filling up the chart per the examples.
For part b) we must calculate the probability of having the outcome be 7. Assuming all sides of both spinners have the same probability of landing, we calculate this using classical probability so, as follows:
[tex]P(7)=\frac{n(7)}{n(all)}[/tex]
Where [tex]P(7)[/tex] represents the probability of getting seven, [tex]n(7)[/tex] the number of ways the two spinners can land in which they add up to 7, and [tex]n(all)[/tex] the number of all possible outcomes from spinning the two spinners. We are just doing the rule of "all favorable outcomes over all outcomes".
The total number of outcomes is 12, as there's only 12 ways the two spinners could land. The total number of ways we can get 7 is 3 (only by spinning 1 and 6, or 2 and 5, or 3 and 4). So, the probability of landing 7 is:
[tex]P(7)=\frac{n(7)}{n(all)}=\frac{3}{12}=\frac{1}{4}=.25[/tex]
So, there's a 25% chance of getting a 7 (hence of winning at this game). This means, if 120 play, approximately a 25% of them will win - so, approximately 30 contestants will win.
The school is charging 20p for playing, so the 120 participants are paying 2400p. However, because approximately 30 people will win, the school will have to buy 30 lollipops that cost 30p each - so, at the end the school will raise approximately 2400p (total earnings of tickets) - 900p (total losses from people winning) = 1500p (total money raised).
Need help with this question please !!!
Answer: 27
Step-by-step explanation:
what is the answer to 82.25-4.25b
Answer: Look
Step-by-step explanation:
A number is chosen at random from 1 to 50. Find the probability of selecting numbers less than 33
Answer:
75%Step-by-step explanation:
Preguntas e interpretación de resultados:
2
3 registrar datos en la tabla
Tipo de liquido Masa (g)
Agua
Vinagre
agua
vinagre
Acale
Botella plastica coh:
llenar las botellas con 250mL de líquido
medir la masa de cada botella con liquido
Aceite
Answer:
No le entiendo
Step-by-step explanation:
help me this is so hard for me
Answer: it’s the second
Step-by-step explanation:
A marathon is 26.2 miles long. If a runner can run 7.5 miles in 60 minutes, how many minutes will it take to run the full marathon? Round your answer to the nearest minute!
The time taken for the runner to complete the marathon is 209.6 minutes
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
The total length of the marathon = 26.2 miles
Let the time taken by the runner to complete 7.5 miles = 60 minutes
So , the proportion is
A / 26.2 = 60 / 7.5
Multiply by 26.2 on both sides , we get
A = ( 60 x 26.2 ) / 7.5
A = 1572 / 7.5
A = 209.6 minutes
Hence , the time for marathon is 209.6 minutes
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A cereal company packages there granola in cylindrical containers that have a diameter of 20 cm and a height of 17.4 cm. Approximately how much granola will a container hold?
A.348 cm^3
B.5,464 cm^3
C.174 cm^3
D.3,140 cm^3
Answer:
D
Step-by-step explanation:
What proves angle BDE is congruent to CDE. ∆ADB and ∆ADC are congruent.
Answer: We will use the SAS (SIDE-ANGLE-SIDE) to prove that the two triangles are congruent. This states that if two sides and the included angle in one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
First line
First column: AB is congruent to CB Second column: Given
Second line
First column: angle ABD is congruent to angle CBD Second column: Given
At this point we have the SIDE-ANGLE portion of SAS. We just need the other side. We can see from the given angles that they both share a side...BD.
Third Line
First column: BD is congruent to BD Second column: Reflexive property
All that is left is to state SAS.
Fourth Line
First Column: Triangle ABD is congruent to triangle CBD Second column: SAS (from lines 1,2,3)
A model rocket launched directly upward at a speed of 16 meters per second from a helght of 2 meters . The f(t) = - 4.9t ^ 2 + 16t + 2 models the relationship between the height of the rocket and the time after launch, t. In seconds. Which is the maximum height meters the rocket will reach Round to two decimal places Provide your answer below: meters
Answer:
f(t) = 15.06 m
Step-by-step explanation:
The relationship between the height of the rocket and the time after launch, t. In seconds is given by :
[tex]f(t) = - 4.9t ^ 2 + 16t + 2[/tex]
We need to find the maximum height the rocket will reach the ground.
When it reaches the ground,
f(t) = 0
So,
Maximum height,
f'(t) = 0
[tex]-9.8t+16=0\\\\t=\dfrac{16}{9.8}\\\\t=1.63\ s[/tex]
Put t = 1.63 in equation (1).
[tex]f(1.63) = - 4.9\times (1.63 ^ 2) + 16(1.63) + 2\\\\=15.06\ m[/tex]
So, the maximum height of the rocket is 15.06 m.
Use the Distributive Property to correctly rewrite or simplify the expression:
21k+13k+9k
Answer:
21k+9k+13, and simplified into 43k.
Step-by-step explanation:
The distributive property means that you can put addends or factors in any order to get the same result(9+1=10, 1+9=10)
21k+13k+9k can be re-written into 21k+9k+13, and simplified into 43k.
Answer:
43k
Step-by-step explanation:
A train is traveling at a constant rate of 70 miles per hour.
How long will it take the train to travel 175 miles?
Answer:
2.5 hours
Step-by-step explanation:
Time is distance divided by speed.
Therefore, you'd have to do 175/70
175/70 = 2.5
HELP 20 POINTS IF YOU HELP ME HURRY!!!
Which shows the correct dimensions of the rectangle in both scales?
O Scale 1: 40 ft by 56 ft; Scale 2: 35 ft by 40 ft
O Scale 1: 56 ft by 25 ft Scale 2: 35 ft by 40 ft
O Scale 1:35 ft by 25 ft; Scale 2: 56 ft by 40 ft
O Scale 1.56 ft by 40 ft: Scale 2: 35 ft by 25 ft
Answer:
it’s c:)
Step-by-step explanation:
what is 5+5
drop i.n.s.t.a for points
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Tom is 40 inches tall. The sign next to the Superman Roller Coaster says: “You must be 48 inches to ride!”. By what percent does Tom have to grow to be able to ride the roller coaster?
inches to grow=48-40=8
percentage of inches to grow to ride the roller coaster= 8/48×100
= 16.66%
Answer:
WHO CARES ABOUT WHAT THE SUPERMAN ROLLAR COASTER SIGN SAYS JUST RIDE IT!! (jk :))
REAL ANSWER: 20%
Step-by-step explanation:
20% of 40 is 8. 40+8=48. Therfore, Tommy here has to grow 20%.
Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D
CUVE Writing an Algebraic Expression Write an algebraic expression to model the unknown number situation. Which statements are true? Select all that apply. the difference of a number and seven You can replace "a number" with a variable to represent an unknown value. Subtraction Words decreased by You can replace "difference" with a division sign. You can replace "difference" with a subtraction sign. You can replace "seven" with 7. The correct expression is n-7. difference fewer The correct expression is 7-n. less than subtract
Answer: A,C,D,E
Step-by-step explanation:
If own edge answer Which statements are true? Select all that apply.
You can replace “a number” with a variable to represent an unknown value.
You can replace “difference” with a division sign.
You can replace “difference” with a subtraction sign.
You can replace “seven” with 7.
The correct expression is n – 7.
The correct expression is 7 – n. Answer: A,C,D,E. Your welcome.
A researcher compares the effectiveness of two different instructional methods for teaching pharmacology. A sample of 51 students using Method 1 produces a testing average of 81.6. A sample of 76 students using Method 2 produces a testing average of 76.4. Assume the standard deviation is known to be 12.24 for Method 1 and 11.19 for Method 2. Determine the 90% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. Step 2 of 2 : Construct the 90% confidence interval. Round your answers to one decimal place g.
Answer:
90% confidence interval is: ( 1.7 to 8.7 )
Step-by-step explanation:
Given the data in the question;
Method 1 Method 2
n₁ = 51 n₂ = 76
x"₁ = 81.6 x"₂ = 76.4
σ₁ = 12.24 σ₂ = 11.19
Lets get the Margin of Error(M.E)
M.E = [tex]Z_{\alpha /2[/tex] √(σ₁²/n₁ + σ₂²/n₂ )
for 90% confidence interval
∝ = 1 - 0.90 = 0.10
∝/2 = 0.10/2 = 0.05
[tex]Z_{\alpha /2[/tex] = [tex]Z_{0.05[/tex] = 1.64
so we substitute
M.E = 1.64 × √((12.24)²/51 + (11.19)²/75 )
M.E = 1.64 × √( 2.9376 + 1.669548)
M.E = 1.64 × √( 2.9376 + 1.669548)
M.E = 3.52
so, for 90% confidence interval for x"₁ - x"₂ will be;
C.I = x"₁ - x"₂ ± [tex]Z_{\alpha /2[/tex] √(σ₁²/n₁ + σ₂²/n₂ )
= 81.6 - 76.4 ± M.E
= 81.6 - 76.4 ± 3.52
= 5.2 ± 3.52
Lower Limit = 5.2 - 3.52 = 1.68 ≈ 1.7
Upper Limit = 5.2 + 3.52 = 8.72 ≈ 8.7
Therefore; 90% confidence interval is: ( 1.7 to 8.7 )
What’s the answer to |-18|=
Answer:
18
Step-by-step explanation:
just take off the minus sign
La familia Sánchez Olguín, quiere terminar de construir su casa y necesita S/.25000 para todos los gastos del acabado de la casa. Para obtener ese dinero deciden solicitar un préstamo al Banco PIERDEMEX con un interés compuesto del 8% bimestral en un periodo de 3 bimestres
Extraemos los datos del problema:
Capital Inicial → C₀ = S/.25000Interés bimestral → i = 8 % = 0.08Periodos → n = 3Bimestre 1:Capital Inicial Bimestre → C = S/.25000
Tasa de interés bimestral:
I = C×i
I = S/.25000 × 0.08
I = S/.2000
Monto final:
M = C + I
M = S/.25000 + S/.2000
M = S/.27000
Variación Porcentual:
% = (M - C₀) / C₀
% = ( 27000 - 25000) / 25000
% = 8
Bimestre 2:Capital Inicial Bimestre → C = S/.27000
Tasa de interés bimestral:
I = C×i
I = S/.27000 × 0.08
I = S/.2160
Monto final:
M = C + I
M = S/.27000 + S/.2160
M = S/.29160
Variación Porcentual:
% = (M - C₀) / C₀
% = ( 29160 - 25000) / 25000
% = 16.64
Bimestre 3:Capital Inicial Bimestre → C = S/.29160
Tasa de interés bimestral:
I = C×i
I = S/.29160 × 0.08
I = S/.2332.8
Monto final:
M = C + I
M = S/.29160 + S/.2332.8
M = S/ 31492.8
Variación Porcentual:
% = (M - C₀) / C₀
% = ( 31492.8 - 25000) / 25000
% = 25.97