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2 years ago

Help , this is a big grade.

Mathematics

2 answers:

jolli1 [7]2 years ago

8 0

Answer:

-8

Step-by-step explanation:

looked it up on the internet

Charra [1.4K]2 years ago

7 0

The answer is -8

you convert the mixed number as a improper fraction (-25/2 + 9/2) then you see the sum is -8

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The mean weight of newborn infants at a community hospital is 6.6 pounds. A sample of seven infants is randomly selected and the

Lera25 [3.4K]

Answer:

The correct option is A

Step-by-step explanation:

From the question we are told that

The population is $\mu = 6.6$

The level of significance is $\alpha = 5\% = 0.05$

The sample data is 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds

The Null hypothesis is $H_o : \mu = 6.6$

The Alternative hypothesis is $H_a : \mu > 6.6$

The critical value of the level of significance obtained from the normal distribution table is

$Z_{\alpha } = Z_{0.05 } = 1.645$

Generally the sample mean is mathematically evaluated as

$\=x = \frac{\sum x_i }{n}$

substituting values

$\=x = \frac{9.0 + 7.3 + 6.0+ 8.8+ 6.8+ 8.4+6.6 }{7}$

$\=x = 7.5571$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{\frac{\sum [ x - \= x ]}{n} }$

substituting values

$\sigma = \sqrt{\frac{ [ 9.0-7.5571]^2 + [7.3 -7.5571]^2 + [6.0-7.5571]^2 + [8.8- 7.5571]^2 + [6.8- 7.5571]^2 + [8.4 - 7.5571]^2+ [6.6- 7.5571]^2 }{7} }$ $\sigma = 1.1774$

Generally the test statistic is mathematically evaluated as

$t = \frac{\= x - \mu } { \frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{7.5571 - 6.6 } { \frac{1.1774 }{\sqrt{7} } }$

$t = 1.4274$

Looking at the value of t and $Z_{\alpha }$ we see that $t < Z_{\alpha }$ hence we fail to reject the null hypothesis

What this implies is that there is no sufficient evidence to state that the sample data show as significant increase in the average birth rate

The conclusion is that the mean is $\mu = 6.6 \ lb$

8 0

2 years ago

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month

Grace [21]

<h2>Answer with explanation:</h2>

A. For males, Third quartile =14, First quartile = 3 (approx)

IQR = Third quartile - First quartile

= 14-3 = 11

B. For males, Median = 12

For females, Median = 17

The difference between the median values = 17-12=5

C. The mean would be a better measure of center for females because the data has no outliers.

The median would be a better measure of center for males because the data has outliers.

D. Reason for outlier: A large number of males gone for movie which is extreme value for the remaining values.

8 0

2 years ago

Read 2 more answers

Please help me answer this ASAP! The two-way table shows the number of ninth and tenth graders who prefer going to sporting even

Elis [28]

<h2>Answer</h2>

0.43

<h2>Explanation</h2>

Remember that $RelativeFrecuency=\frac{Frecuency}{SumOfAllFrecuencies}$

Since the problem is telling us "Among tenth graders", we must focus on the 10th graders row only. From the row, we can infer that the frequency is the number of 10th graders who prefer going to sporting events, so $Frecuency=6$ . Now, the sum of all frequencies will be the sum of all the 10th graders, so $SumOfAllFrecuencies=6+8=14$ . Let's replace the values:

$RelativeFrecuency=\frac{Frecuency}{SumOfAllFrecuencies}$

$RelativeFrecuency=\frac{6}{14}$

$RelativeFrecuency=0.4285$

And rounded to the nearest hundredth:

$RelativeFrecuency=0.43$

4 0

2 years ago

Find all the zeros of the equation 12x^2-64=-x^4

Natalija [7]

Answer: all the zeroes of the above equation will be

(x-4)(x+4)(x-2)(x+2)

Step-by-step explanation:

Since we have given that

$12x^2-64=-x^4\\\\x^4+12x^2-64=0$

We need to find the zeroes of the above equation.

So, we will use "Split the middle terms" :

$x^4+12x^2-64=0\\\\x^4+16x^2-4x^2-64=0\\\\x^2(x^2-16)-4(x^2-16)=0\\\\(x^2-4)(x^2-16)=0\\\\x^2-4=0\ or\ x^2-16=0\\\\\text{ "Using }a^2-b^2=(a+b)(a-b)"\\\\x^2-4=x^2-2^2=(x-2)(x+2)\\\\x^2-16=x^2-4^2=(x+4)(x-4)$

So, all the zeroes of the above equation will be

(x-4)(x+4)(x-2)(x+2)

7 0

2 years ago

Solve for x if 2(5x+2)^2=48

likoan [24]

2(5x + 2)^2 = 48
divide both sides by 2
(5x + 2)^2 = 24
square root both sides to clear the power of two.
5x + 2 = + - sqrt24
subtract 2 from both sides
5x = -2 + - sqrt 24
divide both sides by 5
x = (-2 +-sqrt24)/5 or decimal answers .58 and -1.38

7 0

2 years ago

Read 2 more answers