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Mekhanik [1.2K]
3 years ago
7

Determine if true: 3^3x4=108

Mathematics
2 answers:
AlekseyPX3 years ago
8 0

Answer:

<u>True</u>

Step-by-step explanation:

3³ x 4

= 3 x 3 x 3 x 4

= 9 x 12

= 108

<u>True</u>

pshichka [43]3 years ago
3 0

Answer:

True

Step-by-step explanation:

3^3=27

27x4=108

108=108

The equations match.

Hence, the equation is true.

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Find the value for X.<br> (5x + 4<br> 13x - 7<br> 77°<br> B
kipiarov [429]
If there is supposed to be picture here, then it’s not showing.
4 0
3 years ago
Mrs Cruz baked Apple pies for her family the boys eat 1/2 of a pie in the girls 8 1/7 of a pie how much more pies at the boys ea
Montano1993 [528]

Answer:

7 9/14

Step-by-step explanation:

The girls ate 8 1/7 of a pie, so we mark G=8 1/7

The boys ate 1/2 of a pie, so we mark B=1/2

The girls ate the more pies, so we do this:

G-B

We plug the G and the B in, and it is 8 1/7-1/2

We change it to the common denominator, which is 14. We have 8 2/14- 7/14

we take a one and add 14 to 2 and we have this:

7 16/14-7/14

and that equals 7 9/14

7 0
3 years ago
The quotient, of the product of 25 and an unknown number, and 45 is -65.
Lynna [10]

-- I've decided to name the unknown number  ' Q ', because I can.

-- The product of 25 and the unknown number is   25 Q .

-- The quotient of that product and  45  is    25 Q/45 .

-- We're told that this quotient is  -65 .

                                 25 Q / 45  =  -65 .
 
8 0
3 years ago
A 16 ounce package of cereal cost $4.00? what is the unit cost
goldenfox [79]

Here, we need to find unit cost. Unit cost can be defined as a cost per unit of a product.

We are given that 16 ounce will cost $ 4.00.

That means -

Cost of 16 ounce of cereal package = $ 4.00

Cost of 1 ounce of cereal package -

(We will divide both sides by 16)

Cost of 16 ounce of cereal package ÷ 16 = $ 4.00 ÷ 16

Cost of 1 ounce of cereal package = $ 0.25.

<em><u>Thus, the cost of 1 ounce of cereal package = $ 0.25.</u></em>

5 0
3 years ago
Read 2 more answers
A simple random sample from a population with a normal distribution of 98 body temperatures has x =98.90 °F and s =0.68°F. Const
Ludmilka [50]

Answer:

0.609 \leq \sigma \leq 0.772  

And the best conclusion would be:

D. This conclusion is safe because 1.40 °F is outside the confidence interval.

Step-by-step explanation:

1) Data given and notation  

s=0.68 represent the sample standard deviation  

\bar x =98.90 represent the sample mean  

n=98 the sample size  

Confidence=90% or 0.90  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .  

2) Calculating the confidence interval  

The confidence interval for the population variance is given by the following formula:  

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}  

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:  

df=n-1=98-1=97  

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.05,97)" "=CHISQ.INV(0.95,97)". so for this case the critical values are:  

\chi^2_{\alpha/2}=120.990  

\chi^2_{1- \alpha/2}=75.282  

And replacing into the formula for the interval we got:  

\frac{(97)(0.68)^2}{120.990} \leq \sigma \leq \frac{(97)(0.68)^2}{75.282}  

0.371 \leq \sigma^2 \leq 0.596  

Now we just take square root on both sides of the interval and we got:  

0.609 \leq \sigma \leq 0.772  

And the best conclusion would be:

D. This conclusion is safe because 1.40 °F is outside the confidence interval.

3 0
3 years ago
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