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Vitek1552 [10]
3 years ago
13

Kaitlin wants to pour 27.17 grams of salt into a container. So far, she has poured 25.98 grams. How much more salt should Kaitli

n pour?
Mathematics
1 answer:
LekaFEV [45]3 years ago
5 0

Answer:

1.19

Step-by-step explanation:

27.17-25.98= 1.19

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What is the length of the base of a right triangle with an area of 20 m and a height of 4 m?
fenix001 [56]

Answer: 5 m

Step-by-step explanation:

height x base = area

4x=20

x=20÷4

x=5

base= 5m

4 0
3 years ago
The Food and Drug Administration (FDA) produces a quarterly report called Total Diet Study. The FDA’s report covers more than 20
pav-90 [236]

Using the normal approximation to the binomial, it is found that:

  • The mean of X is of 52 samples.
  • The standard deviation of X is of 4.2661 samples.
  • 0.0017 = 0.17% probability that less than half without any traces of pesticide.

--------------------------------

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, with mean given by:  

E(X) = np

And standard deviation of:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution  

Z-score formula is used, which, in a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • Each z-score has an associated p-value, which measures the percentile of measure X.

--------------------------------

  • 65% of samples had no pesticide, thus p = 0.65
  • 80 samples, thus n = 80

The mean of X is of:

E(X) = np = 0.65(80) = 52

The standard deviation of X is of:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{80(0.65)(0.35)} = 4.2661

Using the approximation and continuity correction, the probability is P(X < 40 - 0.5) = P(X < 39.5), which is the p-value of Z when X = 39.5. Thus:

Z = \frac{X - \mu}{\sigma}

Z = \frac{39.5 - 52}{4.2661}

Z = -2.93

Z = -2.93 has a p-value of 0.0017, thus:

0.0017 = 0.17% probability that less than half without any traces of pesticide.

A similar problem is given at brainly.com/question/24261244

8 0
2 years ago
Write the equation of a circle that has a center at the origin and a radius with a length of 4 inches
VMariaS [17]

Answer:

x^2+y^2=16

Step-by-step explanation:

x^2+y^2=r^2 is the mother function of the equation of a circle centered at r with radius r

since r is defined to be 4 and 4^2 is 16 therefore, the equation would then be

x^2+y^2=16

4 0
3 years ago
Read 2 more answers
Kia wrote the number 85 on the board.is 85 a prime or composite number ? EXPLAIN
Andrei [34K]

Answer:

Prime

Step-by-step explanation:

4 0
3 years ago
Which expression is equivalent to 16a - 18b + 20a
vaieri [72.5K]
(16a+20a)-18b
=36a-18b
8 0
3 years ago
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