On a coordinate plane, triangle FGH is formed with the vertices at point F(4, 2), point G(4, 6), and point H(6, 4). Determine the perimeter, in units, of triangle FGH?
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- In the study, 32 participants put a golf ball to a 5-centimeter golf cup. Each participant attempted 20 putts. The researcher wrote, "A downward facing projector displayed displayed a ring of 11 small (3.8 centimeters in diameter) or 5 large (28 centimeters) circles around each hole to create an Ebbinghaus illusion." For each illusion, participants attempted 10 putts from a distance of 3.5 meters, and we recorded how many putts dropped into the hole" (Witt et al, 2012, p. 397). The researchers hypothesized that participants would make more putts when the hole was surrounded by smaller circles (making the golf hole appear larger) than when it was surrounded by larger circles (making the golf hole appear smaller. How would classify the design of the study? a. This was a correlation study b. This was an experiment using a between-groups research design c. This was an experiment using a within-groups research design d. This was an outlier analysisA student wondered what proportion of a large jar of thousands of marbles were red and speculated that it was 0.30. She took a random sample of 50 marbles and got 18 red marbles, for a sample proportion of 0.36. Below is a dotplot of 100 simulated samples of drawing 50 marbles from a population that is set up to have the proportion of "red marbles" to be 0.30. Based on this dotplot, would getting a sample of 50 marbles to have a 0.36 proportion of red marbles be significant evidence that the true proportion of red marbles in the whole jar is greater than 0.30?Researchers investigated two kinds of laugh tracks – one with posed laughter and one with spontaneous laughter. Recall that to create the posed laughter laugh track, the researchers asked people to laugh and recorded the results. The researchers also tested the same 40 jokes with a spontaneous laughing laugh track, which they created by having people watch funny videos and recording their laughter. The data can be found in the file LaughTypes in pictures. Put these data into the Matched Pairs applet to investigate whether the type of laughter makes a difference in the ratings of the jokes and also do parts (a) (b) and (c):
- Pigmented makeup products like mascara and eye shadow may contain metal (e.g., nickel) allergens. Is a nickel allergy more likely to occur in women who report cosmetic dermatitis from using eye shadow or mascara? In a sample of 123 women with cosmetic dermatitis from using eye shadow, 12 were diagnosed with a nickel allergy. In a sample of 261 women with cosmetic dermatitis from using mascara, 27 were diagnosed with a nickel allergy. Use this information to complete parts a through c below. a. Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy. b. Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using mascara who have a nickel allergy. c. Suppose you are informed that the true proportion with a nickel allergy for one of the two groups (eye shadow ormascara) is 0.15. Can you determine which group isreferenced?Pigmented makeup products like mascara and eye shadow may contain metal (e.g., nickel) allergens. Is a nickel allergy more likely to occur in women who report cosmetic dermatitis from using eye shadow or mascara? In a sample of 126 women with cosmetic dermatitis from using eye shadow, 11 were diagnosed with a nickel allergy. In a sample of 266 women with cosmetic dermatitis from using mascara, 26 were diagnosed with a nickel allergy. Use this information to complete parts a through c below. Question content area bottom Part 1 a. Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy. The 95% confidence interval for eye shadow is enter your response here,enter your response here.Pigmented makeup products like mascara and eye shadow may contain metal (e.g., nickel) allergens. Is a nickel allergy more likely to occur in women who report cosmetic dermatitis from using eye shadow or mascara? In a sample of 125 women with cosmetic dermatitis from using eye shadow, 11 were diagnosed with a nickel allergy. In a sample of 267 women with cosmetic dermatitis from using mascara, 25 were diagnosed with a nickel allergy. Use this information to complete parts a through c below. a. Compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy. b. compute a 95% confidence interval for the proportion of women with cosmetic cermatitis from using mascara who have a nickel allergy