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Elina [12.6K]
2 years ago
9

5=4b-12 hurry and make sure you put how you got the answer

Mathematics
2 answers:
Lunna [17]2 years ago
6 0
The answer for this question is 4.25
PIT_PIT [208]2 years ago
5 0

Answer:

4.25

Process:

  • 5=4b-12
  • 4b=12+5
  • 4b=17
  • b=\frac{17}{4}
  • b= 4.25
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A data set lists weights​ (lb) of plastic discarded by households. The highest weight is 5.24 ​lb, the mean of all of the weight
Vladimir [108]

Answer:

a) 3.308 lb

b) That difference is 2.91 standard deviations.

c) Z = 2.91

d) We have that Z = 2.91 > 2, so the weight of 5.24lb is significantly high.

Step-by-step explanation:

The z-score formula is given by:

Z = \frac{X - \mu}{\sigma}

In which: X is the weight we are going to find the z-score of, \mu is the mean of all the weights and \sigma is the standard deviation of all the weights.

The problems gives these following informations:

The highest weight is 5.24 ​lb

The mean of all the weights is 1.932 lb

The standard deviation of all the weights is 1.135 lb

a. What is the difference between the weight of 5.24 lb and the mean of the​ weights?

D = 5.24lb - 1.932lb = 3.308lb

b. How many standard deviations is that​ [the difference found in part​ (a)]?

The difference found in (a) is 3.308lb.

This can be calculated by a simple rule of three.

1 standard deviation - 1.135lb

x standard deviations - 3.308lb

1.135x = 3.308

x = \frac{3.308}{1.135}

x = 2.91

That difference is 2.91 standard deviations.

c. Convert the weight of 5.24 lb to a z score.

We have that:

X = 5.24, \mu = 1.932 and \sigma = 1.135. So:

Z = \frac{X - \mu}{\sigma} = \frac{5.24 - 1.932}{1.135} = 2.91

3 0
2 years ago
How many gallons of a 60% antifreeze solution must be mixed with 70 gallons of 20% antifreeze to get a misture that is 50% antif
Komok [63]

Answer:

<h2>210 gaL 60 % Antifreeze II</h2>

Step-by-step explanation:

In the problem, there are two types of antifreeze

antifreeze I and

antifreeze II

antifreeeze I 20 ----70 gal

Antifreeze II 60 ----- x gal

Total 50 ---------------- (70 + x ) gal

20*70+60*x=50(70+x)

1400+60x=3500+50x

60x-50x=3500-1400

10x=2100

x= 210

x=210 gaL 60 % Antifreeze II

4 0
2 years ago
Q2.<br>a) Is the equality √a^4 = a valid for all values of a? Explain.<br>​
allochka39001 [22]

Answer:

The equality is only true for a = 0\ and\ 1, not for all values

Step-by-step explanation:

Given

(\sqrt a)^4 = a

Required

Determine if it is valid

(\sqrt a)^4 = a

Evaluate the exponent

(a^\frac{1}{2})^4 = a

a^\frac{1*4}{2} = a

a^2 = a

Rewrite as:

a^2 - a = 0

Factorize

a(a- 1) = 0

a =0\ or\ a - 1 = 0

a =0\ or\ a = 1

<em>The equality is only true for </em>a = 0\ and\ 1<em>, not for all values</em>

7 0
2 years ago
What is 1.750 in a mixed number
miskamm [114]
 THE CORRECT ANSWER CAN BE 1 750/1000 OR 1 I/2
7 0
3 years ago
Read 2 more answers
What is the value of (1/2)^3 + (1/3 x 2)?
Scilla [17]

Answer:

1/3x^2+1/8

Step-by-step explanation:

simplify the equation to 1/8+1/3x^2

7 0
3 years ago
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