Answer: 4.3 mi
Step-by-step explanation:
From Oxford, getting to Kingswood takes 7.5mi, and getting to Norwood takes 11.8mi. Thus, simply do 11.8-7.5 to get 4.3mi.
Hope it helps <3
The number of square feet of their backyard will NOT be taken up by the pool should be 100 square feet.
Since 1 centimeter represents 5 feet. 4 cm 6 cm And, the area of the Hamiltons' backyard is 900 square feet.
So here it can be like
4cm (5) = 20ft
6cm (5) = 40ft
Now
20ft : 40ft pool
20(40) = 800 square ft
So,
= 900sq ft - 800sq ft
= 100 square feet
Learn more about area here: brainly.com/question/17758676
Answer:
175
Step-by-step explanation:
Because why would i lie?
cups all-purpose flour.
• 31/2 teaspoons baking powder.
• 1 teaspoon salt.
1 tablespoon white sugar.
• 1 1/4 cups milk.
• 1 egg.
• 3 tablespoons butter.
1.) How much of each of the ingredients do you need to make 16 pancakes, 4 pancakes, 12pancakes? Explain which operations with fractions you used to obtain your answer.
Answer:
To make 16 pancakes, we would multiply each of the initial measurement of the ingredients by 16.
To make 4 pancakes, we would multiply each of the initial measurement of the ingredients by 4.
To make 12 pancakes, we would multiply each of the initial measurement of the ingredients by 12.
see explanation below
Step-by-step explanation:
If the ingredients to make 1 pancake is as follows:
1 1/2 cups all-purpose flour; 31/2 teaspoons baking powder; 1 teaspoon salt.
1 tablespoon white sugar.; 1 1/4 cups milk; 1 egg; and 3 tablespoons butter.
Then to make 16 pancakes, we would multiply each of the initial measurement of the ingredients by 16.
cups all-purpose flour =16× 1 1/2
= 16×3/2 = 24
teaspoons baking powder = 16 ×7/2 = 56
teaspoon salt = 1×16 = 16
tablespoon white sugar= 1×16 = 16
cups milk= 16×5/4 = 20
egg= 1×16 = 16
tablespoons butter= 3×16 = 48
Then to make 4 pancakes, we would multiply each of the initial measurement of the ingredients by 4.
cups all-purpose flour =4× 1 1/2
= 4×3/2 = 6
teaspoons baking powder = 4 ×7/2 =14
teaspoon salt = 1×4 = 4
tablespoon white sugar= 1×4 = 4
cups milk= 4×5/4 = 5
egg= 1×4 = 4
tablespoons butter= 3×4 = 12
Then to make 12 pancakes, we would multiply each of the initial measurement of the ingredients by 12.
cups all-purpose flour =12× 1 1/2
= 12×3/2 = 18
teaspoons baking powder = 12 ×7/2 =42
teaspoon salt = 1×12 = 12
tablespoon white sugar= 1×12 = 12
cups milk= 12×5/4 = 15
egg= 1×12 = 12
tablespoons butter= 3×12 = 36
The operation applied is multiplication with each fraction.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
2, 7, 4, 7, 2, 7, 2, 2, 2, 3, 4, 3, 1, 2, 3, 2, 1, 4, 2, 2, 5, 2, 3, 4, 4, 1, 7, 6, 3, 5
Value __ Frequency ___ relative frequency
1 ___ 3 ______ 3/30 ____ 0.1
2 __ 10 ______ 10/30 ___ 0.3
3 __ 5 _______ 5/30____0.2
4 __ 5 ________ 5 / 30 __0.2
5 __ 2 _________ 2/30 __ 0.1
6 __ 1 _________ 1/30 ___0.0
7 __ 4 ________ 4/30 ___0.1
Kindly note that relative frequencies were rounded to the nearest tenth.
Answer:
The probability that the O-ring came from Galshus and Sons given that it is defective is 0.359.
Step-by-step explanation:
Probability of getting O-ring from Little Rock Plastics = 0.29
Probability of getting O-ring from Galshus and Sons = 0.71
Probability of getting Defective Rings from Little Rock Plastics = 0.04
Probability of getting Defective Rings from Galshus and Sons = 0.10
Denoting Little Rock Plastics as LRP, Galshus and Sons as GS and Defective as D, we can write:
P(LRP) = 0.29
P(GS) = 0.71
P(D ∩ LRP) = 0.04
P(D ∩ GS) = 0.10
We are given that an O-ring is found to be defective and we need to find the probability that it came from Galshus and Sons so we will use the conditional probability formula for calculating the probability that the O-ring came from Galshus and Sons given that it is defective.
P(GS|D) = P(D ∩ GS)/P(D)
We need to compute P(D) first. So,
P(D) = P(D|GS) + P(D|LRP)
= P(D∩GS)/P(GS) + P(D∩LRP)/P(LRP)
= 0.10/ 0.71 + 0.04/0.29
= 0.1408 + 0.1379
P(D) = 0.2787
P(GS|D) = P(D ∩ GS)/P(D)
= 0.10/0.2787
= 0.3587
P(GS|D) = 0.359
Using Bayes' theorem, the probability that a defective O-ring came from Galshus and Sons is approximately 0.802 or 80.2%
To find the answer to your question, we need to use Bayes' theorem. This theorem refers to the probability of an event, based on prior knowledge of conditions that might be related to the event. First, let us identify the following:
Probability of choosing an O-ring from Little Rock Plastics (L), P(L) = 0.29
Probability of choosing an O-ring from Galshus and Sons (G), P(G) = 1 - P(L) = 0.71
Probability that an O-ring from Little Rock is defective, P(D|L) = 0.04
Probability that an O-ring from Galshus and Sons is defective, P(D|G) = 0.10
By Bayes' theorem, the probability that a defective O-ring came from Galshus and Sons is given by: P(G|D) = [P(G) * P(D|G)] / [P(L) * P(D|L) + P(G) * P(D|G)]
Upon substitution, P(G|D) = [0.71 * 0.10] / [0.29 * 0.04 + 0.71 * 0.10]. This equates to approximately 0.802, or 80.2%, meaning there is a 80.2% chance that the defective O-ring came from Galshus and Sons.
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Answer:
Step-by-step explanation:
Can the sides of a triangle have lengths 5, 8, and 11?