Elian heard that spinning a coin on a flat surface-rather than flipping it-made the probability of the coin landing showing "heads" something other than 50%. To test this theory, he spun a nickel a series of 80 times and
observed that p = 60% of the spins landed showing "heads."
To see how likely a sample like this was to happen by random chance alone, Elian performed a simulation. He
generated a sample of n = 80 spins where each spin had a 50% chance of showing "heads," and he recorded
what proportion of spins in the sample showed "heads." He repeated this process for a total of 125 samples.
Here are the sample proportions from his 125 samples:

The length of a shadow of the building is 36m. the length of the pole, which is perpendicular to the ground, is 1.9m. the length of the pole's shadow is 1.52m. what is the height of the building?

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

City l has a temperature of −3 °f. city m has a temperature of −7 °f. use the number line shown to answer the questions: number line from negative 8 to positive 8 in increments of 1 is shown. part a: write an inequality to compare the temperatures of the two cities. (3 points) part b: explain what the inequality means in relation to the positions of these numbers on the number line. (4 points) part c: use the number line to explain which city is warmer. (3 points)