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AnnyKZ [126]
4 years ago
10

Use the drop-down menus to complete each statement to show why 21√ is between 4 and 5.

Mathematics
1 answer:
nikklg [1K]4 years ago
3 0

Answer:

    1)  The answers are:  "√16" and "√25" .

________________________________________________

    2)  The answers are:  "4" and "5" .

________________________________________________


Step-by-step explanation:


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Which is greater √10 or 3.2
Vinvika [58]
If you find the square root of 10, you can see it is 3.16. So, 3.2 is greater than the square root of 10.
7 0
3 years ago
1.Dylan bought 3.5 meters of cloth for 94.5 pesos.How much does 1 meter og the cloth cost?
muminat

1.Dylan bought 3.5 meters of cloth for 94.5 pesos.How much does 1 meter og the cloth cost?

PLEASE I NEED IT NOW CAUSE IM EXPERIENCING DESPRESS I HOPE EVERYONE COULD HELP him

8 0
3 years ago
If an object is shot with an initial velocity of 160 ft/sec, what is the smallest initial angle will you need to obtain a horizo
MrRissso [65]
To solve the question we shall use the formula for the range given by:
Horizontal range, R=[v²sin 2θ]/g
plugging in our values we get:
500=[160²×sin 2θ]/10
5000=160²×sin 2θ
0.1953=sin 2θ
thus:
arcsin 0.1953=2θ
11.263=2θ
hence:
θ=5.6315°~5.63
3 0
4 years ago
(1 point) The cost of unleaded gasoline once followed an unknown distribution with a mean of $4.59 and a standard deviation of $
marin [14]

Answer:

a) unknown

b) 1.43% probability that the average price for 30 gas stations is less than $4.55.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 4.59, \sigma = 0.1

a) What's the approximate probability that the average price for 16 gas stations is over $4.69?

Sample size less than 30 and unknow distribution. Therefore, the central limit theorem cannot be applied and the answer is unknown.

b) Find the probability that the average price for 30 gas stations is less than $4.55.

Now n = 30, s = \frac{0.1}{\sqrt{30}} = 0.0183

This probability is the pvalue of Z when X = 4.55. So

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

By the Central Limit Theorem

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

Z = \frac{4.55 - 4.59}{0.0183}

Z = -2.19

Z = -2.19 has a pvalue of 0.0143

1.43% probability that the average price for 30 gas stations is less than $4.55.

5 0
4 years ago
George purchased a beach ball when the ball is completely filled with air it has a diameter of 12 inches which is closest to the
MArishka [77]

Answer:

The volume of George's beach ball is 904.32 cubic inches.

Step-by-step explanation:

We are given the following in the question:

Diameter of beach  ball,d = 12 inches.

Radius of beach ball =

r = \dfrac{d}{2} = \dfrac{12}{2} = 6\text{ inches}

Volume of beach ball = Volume of sphere =

V = \dfrac{4}{3}\pi r^3

Putting values, we get,

V = \dfrac{4}{3}\times 3.14\times (6)^3\\\\V = 904.32\text{ cubic inches.}

Thus, the volume of George's beach ball is 904.32 cubic inches.

3 0
3 years ago
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