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dybincka [34]
3 years ago
13

Can someone help me with number 21. Please show steps

Mathematics
2 answers:
Finger [1]3 years ago
7 0

Answer:

39

Step-by-step explanation:

You need to solve the exponents first

3[64÷(25 -9)+9]

Then you can do the parenthesis

3[64÷ 16 +9]

Then divide 64 by 16 which equals 4

3[4+9]

Then you do the brackets

3 x 13

Which equals 39

aalyn [17]3 years ago
6 0

Answer:

39

Step-by-step explanation:

Use PEMDAS.

Starting equation:

3[8^{2}/(5^{2}-3^{2} )+9]

Start with evaluating the Exponents inside the innermost Parentheses:

3[8^{2} /(25-9)+9]

Evaluate the Subtraction inside the innermost Parentheses:

3[8^{2} /(16)+9]

Now that we have solved the first set of Parentheses, we need to solve the second, starting with the Exponents:

3[64/16+9]

Next, we need to evaluate the Division inside the Parentheses:

3[4+9]

After that, evaluate the Addition inside the Parentheses:

3[13]

Finally, evaluate the Multiplication:

3[13]=39

The answer is 39.

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3. Mrs Green bakes muffins.
Sphinxa [80]

Answer:

85%

Step-by-step explanation:

Monday:

200 x 0.70 = 140

200 - 140 = 60

Tuesday:

400 x ? = 60

400 x 0.85 = 340

400 - 340 = 60

8 0
3 years ago
What is the product of 1.38 and 2.5
Salsk061 [2.6K]

Answer:

3.45

Step-by-step explanation:

Product, meaning multiplication would just mean that you multiply these two numbers together

7 0
3 years ago
Read 2 more answers
Help me find x on either one of these problems please!
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In the problem with the white circle, x=100, in the problem with the blue circle, x might equal 165, but I'm not entirely certain.  But I am certain about the first one.
3 0
3 years ago
The Campbell family has a disposable income of $60,000 annually. Assume that their marginal propensity to consume is 0.8 (the Ca
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<span>Given the Keynesian equation C=A+MD, we find 10000 + (0.8 x 60000) = $58000. M is the Marginal propensity to consume, the A is the Autonomous consumption, and D is disposable income, giving Annual consumer spending as C.</span>
7 0
3 years ago
A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while
bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = <u><em>Number of bottles in the sample that are not within specification</em></u>.

The above situation can be represented through binomial distribution;

P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....

where, n = number of trials (samples) taken = 12 bottles

             x = number of success  = 2 or more bottles

            p = probabilitiy of success which in our question is probability that  

                 bottles are not within specification, i.e. p = 0.01

So, X ~ Binom (n = 12, p = 0.01)

Now, the probability that the assembly line will be shut down is given by = P(X \geq 2)

  P(X \geq 2) = 1 - P(X = 0) - P(X = 1)

                 = 1-\binom{12}{0} \times 0.01^{0}\times (1-0.01)^{12-0}-\binom{12}{1} \times 0.01^{1}\times (1-0.01)^{12-1}

                 = 1-(1 \times 1\times 0.99^{12})-(12 \times 0.01^{1}\times 0.99^{11})

                 = <u>0.00617</u>

8 0
3 years ago
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