The diagram opposite shows a 30cm square board with two rectangular cards attached. The 15cm by 20cm

Question:

The diagram opposite shows a 30cm square board with two rectangular cards attached. The 15cm by 20cm card covers one-quarter of the 8cm by 12cm card.

A dart is randomly thrown at the board, so that it sticks within its perimeter. Use areas to calculate the probability that the dart pierces:

a. Both cards

b. At least one of the cards

c. Exactly one of the cards.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

ISBN: 9781108407304

1st Edition

Authors: Dean Chalmers, Julian Gilbey

See More Books

Question Posted: Sep 13, 2021 01:31 AM

See More Questions

The diagram opposite shows the activities offered to children at a school camp. If children must choose three activities to fill their day, how many sets of three activities are there to choose from?
The diagram opposite shows a sheet of material subjected to a stress of 60 N/mm. Prior to loading a square is scribed on the surface as indicated by the dotted line. If E=80 kN/mm and v = 0.3...
A Punnett square is a diagram that shows all possible gene combinations in a cross of parents whose genes are known. When two pink snapdragon flowers (RW) are crossed, there are four equally likely...
Mary, Ali and Nzioka are trading as Mali enterprises. They share profits and losses in the ratio of 2 = 1 1 respectively. The following is a statement of comprehensive income for the year ended 31st...
It takes 23.77 mL of 0.1505 M HCl to titrate with 15.00 mL of Ca(OH)2. What is the concentration of Ca(OH)2? You will need to write the balanced chemical equation first.
1. The first arbitrage opportunity relates to locational arbitrage. Holt has obtained spot rate quotations from two banks in Thailand: Minzu Bank and Sobat Bank both located in Bangkok. The bid and...
What are the accounting ramifications of each of the two following situations involving the payment of contingent consideration in a purchase? a. P Company issued 100,000 shares of its $50 fair value...
St. Paul Co. does business in the United States and New Zealand. In attempting to assess its economic exposure, it compiled the following information. a. St. Pauls U.S. sales are somewhat affected by...
Use the following spot yield curve: Time Spot rate 0.5 1 1 1.5 1.5 2 2 2.5 2.5 3 3 4 3.5 5 4 6 Calculate the price of a 2 year bond with a par value of 10,000. The bond matures for par and has a...
words m Larry Johnson, 45 and single, has the following income and deductions in 2022. He is provided health insurance by his employer. Using the tax rate schedules rather than the tax tables,...
A coin is biased such that the probability that three tosses all result in heads is 125/512. Find the probability of obtaining no heads with three tosses of the coin.
Three boxes, A, B and C, each contain orange balls and blue balls, as shown. a. A girl selects a ball at random from a randomly selected box. Given that she selects a blue ball, find the probability...
What do you think about U.S. consumers paying more for light trucks and SUVs because of this?
The manager of a division that produces add-on products for the automobile industry had just been presented the opportunity to invest in two independent projects. The first is an air conditioner for...
Ook ht nces Case 5-2 (Algo) Shouldice Hospital in Canada is widely known for one thing-hernia repair! In fact, that is the only operation it performs, and it performs a great many of them. Over the...
A trunk of cone made of Aluminum (E = 70 GPa) and fixed between two rigid walls and without any preloading or thermal input is uniaxially loaded with a force of magnitude of 100 N at point C (300 mm...
Honeyville Company had sales for the year of $ 1 0 0 , 0 0 0 . Of these sales, only $ 3 0 , 0 0 0 were collected in cash. The other $ 7 0 , 0 0 0 is expected to be collected in cash next year. For...
The company does not have a license for Dynamics 365. If you decide to use a Portal Template how many choices will you have
Look back at Table 23.2. Suppose that by January 2019, the price of Amazon could either rise from its January 2018 level to $1,300 ? 1.22 = $1,586 or fall to $1,300/1.22 = $1,066. a. What would be...
Gopher, Inc. developing its upcoming budgeted Costs of Quality (COQ) with the following information: Expense Item Budget Raw Materials Inspection $ 15,000 EPA Fine 200,000 Design Engineering 15,000...
i. Prove the identity ii. Hence solve the equation sin 0 1 1- cos sin 1 tane
The fourth term of a geometric progression is 48 and the sum to infinity is five times the first term. Find the first term.
Find the first three terms, in ascending powers of x, in the expansion of (2 3x) 4 (1 + 2x) 10 .
Difference between Operating Leverage and Financial Leverage
bpmn diagram for misc purchases
You have $55,000. You put 15% of your money in a stock with an expected return of 10%, $38,000 in a stock with an expected return of 18%, and the rest in a stock with an expected return of 22%. What...

The diagram opposite shows a 30cm square board with two rectangular cards attached. The 15cm by 20cm

Question:

15 12 30 20 30

Step by Step Answer:

The area of the square board 3030 900 cm2 The area of the blue card 8...View the full answer

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

Students also viewed these Mathematics questions