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mestny [16]
3 years ago
9

in Austin Texas 8 bats ate 40 grams of insects in one night at this rate how many grams of insects could 64 bats eat in one nigh

t​
Mathematics
1 answer:
podryga [215]3 years ago
4 0

Answer:320

Step-by-step explanation: 8 bats equals 40 grams of insect. 8 x 5= 40. 64 bats equals 320. 64 x 5 =320.

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4. Identify whether each function is linear or non-linear. Then, evaluate the function for the given value of
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6 0
3 years ago
The attention span of children (ages 3 to 5) is claimed to be Normally distributed with a mean of 15 minutes and a standard devi
Agata [3.3K]

Answer:

If the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 15 minutes

Sample size, n = 10

Alpha, α = 0.05

Population standard deviation, σ = 4 minutes

First, we design the null and the alternate hypothesis

H_{0}: \mu = 15\text{ minutes}\\H_A: \mu > 15\text{ minutes}

Since the population standard deviation is given, we use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Now, z_{critical} \text{ at 0.05 level of significance for one tail} = 1.64

Thus, we would reject the null hypothesis if the z-statistic is greater than this critical value.

Thus, we can write:

z_{stat} = \displaystyle\frac{\bar{x} - 15}{\frac{4}{\sqrt{10}} } > 1.64\\\\\bar{x} - 15>1.64\times \frac{4}{\sqrt{10}}\\\bar{x} - 15>2.07\\\bar{x} > 15+2.07\\\bar{x} > 17.07

Thus, the decision rule would be if the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.

6 0
3 years ago
. The prime numbers p, q, r satisfy the simultaneous equations
Allisa [31]
Pq + pr = 80  => p (q+r) = 80
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Factorize 80 with having one factor as prime number
80 =  2 * 40 = 5 *16 

Factrorize 425 with having one factor as prime number
425 = 5 * 85 = 17 * 25...

Therfore, p has to be 2.
q = 17 and r= 23...
p + q +r = 2 + 17+ 23 = 42
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3 years ago
Read 2 more answers
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Answer:

THE ANSWER IS C

Step-by-step explanation:

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3 years ago
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X + (x + 1) + (x + 2) + (x + 3)
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