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In government data, a household consists of all occupants of a dwelling unit. Choose an American household at random and count the number of people it contains. Here is the assignment of probabilities for the outcome. Number of persons & 1 & 2 & 3 & 4 & 5 & 6 & 7+ Probability & 0.25 & 0.32 & ? & ? & 0.07 & 0.03 & 0.01 The probability of finding 3 people in a household is the same as the probability of finding 4 people. (a) What probability should replace "?" in the table? Use two decimal places. (b) Find the probability that the chosen household contains more than 1 person. Use two decimal places

Select the correct answer from each drop-down menu. Nate has written a narrative that draws on and transforms Shakespeare's play Julius Caesar. Which words would add the best sensory detail to his narrative? Brutus felt the breeze from the window blow his hair back away from his face. The morning sun beat down into the backseat of his friend Julius's Ford Thunderbird. The fully restored car had been a gift for his 16 th birthday. Brutus thought Julius had been acting a little smug since he'd gotten the car, but it was nice that Julius drove all their friends to school. Brutus and Cassius were stretched out in the backseat with their backpacks. Met usually rode in the passenger seat and their driver, Julius, usually their morning drive. They'd all been friends for as long as they could remember. blared blared turned on played

Explain how to prove that the statement overline (AC)cong overline (DB) is true. angle BADcong by the Alternate Interior Angles Theorem AD overline (AD)cong by the Reflexive Proper Segment Congruence Therefore Delta ACDcong by the square Congruence Theorem . Because corresponding parts of congruent t triangles are congruent, overline (AC)cong overline (DB) angle CDA angle BDA angle CAD &SAS : AÁS - : ASA Delta BDA Delta DBA

Mr. Ellis organises a raffle for the school fayre. The top prize is a secret gift from a nearby tech shop, which will be won by one lucky ticket. Altog ether he sells 500 raffle tickets. Daisy buys 5 tickets. Work out the probability that Daisy does not win. Give your answer as a fraction in its simplest form.

a) A bag contains red counters and blue counters only. number of red counters : number of blue counters=3:4 Write down the fraction of the counters that are red.