Leo found an orange caterpillar and a green caterpillar in his backyard. The green caterpillar was 3 1/3 inches long and the orange caterpillar was 1 2/3 inches long. How much longer was the green caterpillar than the orange caterpillar?

Answers

Answer 1
Answer:

Answer:

the green caterpillar is 5/3 inches or 1 2/3 inches longer than the orange caterpillar

Step-by-step explanation:

Subtract 3 1/3 by 1 2/3

Answer 2
Answer:

Answer:

1 2/3 in longer

Step-by-step explanation:

Green: 3 1/3 = 10/3 (Multiply the whole number by the denominator and add that to the numerator for the new numerator).

Orange: 1 2/3 = 5/3

Difference: 10/3 - 5/3 = 5/3 (When subtracting fractions with the same denominators, just subtract the numerators and leave the denominators the same).

5/3 = 1 2/3 (To convert to a mixed number, divide numerator by denominator. The remainder is the new numerator and the quotient is the whole number).


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An aptitude test has a mean score of 80 and a standard deviation of 5. The population of scores is normally distributed. What raw score corresponds to the 70th percentile?

Answers

Answer:

82.62

Step-by-step explanation:

Mean score (μ) = 80

Standard deviation (σ) = 5

The 70th percentile of a normal distribution has an equivalent z-score of roughly 0.525.

For any given score, X, the z-score can be determined by:

z=(X-\mu)/(\sigma)

For z = 0.525:

0.525=(X-80)/(5)\n X=82.62

A raw score of approximately 82.62 corresponds to the 70th percentile.

Answer: the raw score that corresponds to the 70th percentile is 82.625

Step-by-step explanation:

Since the population of scores in the aptitude test is normally distributed., we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = aptitude test scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 80

σ = 5

We want to find the raw score that corresponds to the 70th percentile.

70th percentile = 70/100 = 0.7

Looking at the normal distribution table, the z score corresponding to 0.7 is 0.525.

Therefore,

0.525 = (x - 80)/5

5 × 0.525 = x - 80

2.625 = x - 80

x = 2.625 + 80

x = 82.625

For the set data below, determine the 5 number summaries. Construct the resulting box and whisker plot for 5, 3,8, 6, 1, -10,3,9,7,4,2

Answers

The 5 number summaries Median: 4, Minimum: -10, Maximum: 9, First quartile: 2, Third quartile: 7

What are numbers?

Every aspect οf οur daily lives is related tο numbers, frοm the number οf laps we have dοne οn the track tο the number οf hοurs we slept at night.

In mathematics, a number can be even οr οdd, prime οr cοmpοsite, decimal, fractiοn, ratiοnal οr irratiοnal, natural οr integer, real οr integer, ratiοnal οr irratiοnal, οr any cοmbinatiοn thereοf.

Put the values in the data set into increasing order:

−10, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9

The minimum (the smallest number) is −10

and the maximum (the largest number) is 9.

Find the median,

The median is the middle number

The median is = 4.

Find Q1 and Q3.

Q1 = 2, Q3 = 7

Range = max−min = 9−(−1) = 19

Interquartile range = Q3−Q1 = 7−2 = 5.

Thus,

The 5 number summaries Median: 4, Minimum: -10, Maximum: 9, First quartile: 2, Third quartile: 7

learn more about numbers click here:

brainly.com/question/17200227

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Julio is planning activities for a trip that lasts from Thursday to Sunday. He is interested in visiting a museum, hiking the trails, attending the food festival, riding a jet ski, exploring a famous park, or going shopping. each activity takes a full day, and he will not do any activity twice. Julio wants to either visit a museum or explore the park on Thursday, and he is definitely attending the food festival on Saturday. How many different ways can he plan activities for his trip?A)24
B)30
C)40
D)120

Answers

Thursday: 2 choices {museum, park}

Friday: 4 choices {shopping, jet ski, hiking, and the choice not chosen for Thu}

Saturday: 1 choice {food}

Sunday: 3 choices {the remaining 3 after Friday's choice}

The total number of ways these choices can be arranged is 2×4×1×3 = 24

The apprpropriate selection is A) 24.

Charlie is 4 feet 11 inches tall. If there are 2.54 centimeters in 1 inch, what is Charlie’s height in centimeters?

Answers

Answer:

149.86 cm

Step-by-step explanation:

(a)/(5h+q)=t Find a (a)/ means fraction

Answers

Answer:

Step-by-step explanation:

a/(5h+q) = t

multiply both sides by 5h + q

a / (5h + q) * (5h+q) = t * (5h + q)

a =  t * (5h + q)

I would say this is your answer.

You could distribute the t

a = 5ht + tq

which could also be an answer.

True or FalseThe farther the 2-statistic is from 0, the more the null hypothesis is discredited.

Answers

Answer:

it is true

Step-by-step explanation:

A test statistic compares our observed outcome to the alternative hypothesis. If the null hypothesis is true, then the teststatistic will be close to 0. Therefore, the farther the test statistic is from 0, the more the null hypothesis is discredited.