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erma4kov [3.2K]
3 years ago
12

Rishan is building a number 3091 using Place-value blocks. There are no thousands block. How many hundreds blocks can he use ins

tead?
Mathematics
1 answer:
satela [25.4K]3 years ago
7 0

Given:

The number is 3091.

To find:

The number of hundreds blocks if there are no thousands block.

Solution:

The given number is 3091.

It can be written as:

3091=3000+0+90+1

3091=3\times 1000+0\times 100+9\times 10+1\times 1

3091=3\ Thousands+0\ Hundreds+90\ Tens+1\ Ones

There are no thousands block. So,

3000=30\times 100

3000=30\ Hundreds

Therefore, the number of hundreds blocks in 3091 is 30.

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Given that
olga nikolaevna [1]

Answer:

15.65

Step-by-step explanation:

7^2+14^2

49 + 196 = 245

245=c^2

15.65

7 0
2 years ago
A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is current
lapo4ka [179]

Using the z-distribution, we have that:

a)

The hypothesis test is:

  • H_0: \mu = 7.4
  • H_1: \mu < 7.4

The p-value is of 0.0668.

The critical value is z^{\ast} = -1.28

b) Since the <u>test statistic is less than the critical value</u> for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

Item a:

At the null hypothesis, it is <u>tested if the mean is of 7.4 minutes</u>, that is:

H_0: \mu = 7.4

At the alternative hypothesis, it is <u>tested if the mean is lower than 7.4 minutes</u>, that is:

H_1: \mu < 7.4

We have the <u>standard deviation for the population</u>, hence, the z-distribution is used.

The test statistic is given by:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • \sigma is the standard deviation of the sample.
  • n is the sample size.

For this problem, the values of the <em>parameters </em>are: \overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36.

Hence, the value of the <em>test statistic</em> is:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}

z = -1.5

Using a z-distribution calculator, the p-value is of 0.0668.

Also using a calculator, considering a <u>left-tailed test</u>, as we are testing if the mean is less than a value, the critical value with a <u>significance level of 0.1</u> is of z^{\ast} = -1.28.

Item b:

Since the <u>test statistic is less than the critical value</u> for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

You can learn more about the use of the z-distribution to test an hypothesis at brainly.com/question/16313918

5 0
2 years ago
In a certain town, 22% of voters favor a given ballot measure. for groups of 21 voters, find the variance for the number who fav
Galina-37 [17]
<span>c. 4.6
       
21 X .22= 4.6
       
Calculating the variance requires finding the product of 21 and 22%. To make this easier we convert 22% into it's decimal form and construct the equation. To back check this answer we can use 10% of 21 voters which equals 2.1% then double that amount to reach 4.2%, knowing that we now have a close approximation of the variance we can eliminate answers a, b, and d, leaving c as the only logical choice.</span>
5 0
2 years ago
What is 58.65 with a 15% tip?
11111nata11111 [884]
X/58.65 = 15/100

(58.65*15)/100 = tip
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2 years ago
WHAT IS THE MLA SURE OF ANGLE D PLZ HELP
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AEB = CED = 180 - 45 - 14 = 121 deg
EDC = 180 - 121 - 27 = 32 deg

So angle D is 32 degrees
6 0
3 years ago
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