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ANEK [815]
3 years ago
8

Solve for c. -c/2+43 = 50

Mathematics
1 answer:
noname [10]3 years ago
5 0

\huge\text{Hey there!}

\mathsf{-\dfrac{c}{2}+43=50}

\large\text{SUBTRACT 43 to BOTH SIDES}

\mathsf{-\dfrac{c}{2}+43-43=50-43}

\large\textsf{CANCEL out: 43 - 43 because that gives you 0}

\large\textsf{KEEP: 50 - 43 because it helps solve for the c-value}

\mathsf{50 - 43 = \bf 7}

\large\text{NEW EQUATION: }\mathsf{-\dfrac{c}{2}=7}

\large\textsf{MULTIPLY }\mathsf{\dfrac{2}{-1}}\large\textsf{ to BOTH SIDES}

\mathsf{\dfrac{2}{-1}\times-\dfrac{c}{2}= \dfrac{2}{-1}\times7}

\large\textsf{CANCEL out: your RIGHT SIDE of the equation because that gives}\\\large\textsf{you 1}

\large\textsf{KEEP: }\mathsf{\dfrac{2}{-1}\times7}\large\textsf{ because that helps solve for the c-value}

\uparrow\large\text{SIMPLIFY THE EQUATION ABOVE \& YOU HAVE YOUR}\\\large\text{C-VALUE}\uparrow

\boxed{\boxed{\large\text{ANSWER: \huge\bf  c = -14}}}\huge\checkmark

\large\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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A number, X, rounded to 1 decimal place is 3,7<br> Write down the error interval for x,
sp2606 [1]

Answer:

The error interval for x is:

                 [3.65,3.74]

Step-by-step explanation:

The number after rounding off is obtained as:

                         3.7

We know that any of the number below on rounding off the number to the first decimal place will result in 3.7:

  3.65     3.66    3.67    3.68    3.69    3.70    3.71   3.72    3.73    3.74

( Because if we have to round off a number present in decimals to n place then if  there is a  number greater than or equal to 5 at n+1 place then it will result to the one higher digit  at nth place on rounding off and won't change the digit if it less than 5 )

        Hence, the error interval is:

            [3.65,3.74]

6 0
3 years ago
Bottles of mango juice are assumed to contain 275 milliliters of juice. There is some variation from bottle to bottle because th
pentagon [3]

Answer:

Step-by-step explanation:

The mean of the set of data given is

Mean = (275.4 + 276.8 + 273.9 + 275.0 + 275.8 + 275.9 + 276.1)/7 = 275.56

Standard deviation = √(summation(x - mean)^2/n

n = 7

Summation(x - mean)^2 = (275.4 - 275.56)^2 + (276.8 - 275.56)^2 + (273.9 - 275.56)^2 + (275.0 - 275.56)^2 + (275.8 - 275.56)^2 + (275.9 - 275.56)^2 + (276.1 - 275.56)^2 = 5.0972

Standard deviation = √(5.0972/7) = 0.85

We would set up the hypothesis test.

For the null hypothesis,

µ = 275

For the alternative hypothesis,

µ ≠ 275

This is a 2 tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 7

Degrees of freedom, df = n - 1 = 7 - 1 = 6

t = (x - µ)/(s/√n)

Where

x = sample mean = 275.56

µ = population mean = 275

s = samples standard deviation = 0.85

t = (275.56 - 275)/(0.85/√7) = 1.74

We would determine the p value using the t test calculator. It becomes

p = 0.132

Because the p-value of 0.132 is greater than the significance level of 0.05, we would fail to reject the null hypothesis. We conclude the data does not provide convincing evidence that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters.

8 0
3 years ago
How to solve 4+|7-m|=5
notka56 [123]
When
|a|=b
assume
a=b and -a=b
so

4+|7-m|=5
minus 4 from both sides
|7-m|=1
assume
7-m=1 and
-(7-m)=1

7-m=1
minus 7 both sidees
-m=-6
times -1 both sides
m=6

-(7-m)=1
distribute
-7+m=1
add 7 to both sides
m=8

m=6 and 8
4 0
3 years ago
What is the value of a over 6 plus 3 if a=48
AlexFokin [52]
Hello there!

By a over 6, I assume you mean a / 6? And by the wording, I assume 3 is outside of the fraction.

For the three outside the fraction,

(a / 6) + 3
(48 / 6) + 3
8 + 3
= 11

Hoped this help! If you have any more questions or need any more assistance, don't hesitate to friend me and message me! I can provide a mini lesson and a in-depth explanation as to what I did and why.
5 0
3 years ago
Tickets to a show cost $5.50 for adults and $4.25 for students. A family is purchasing 2 adult tickets and 3 student tickets. Wh
Contact [7]
2 adults = 5.50 x 2 = 11
3 students = 4.25 x 3 = 12.75

Total = $23.75
8 0
2 years ago
Read 2 more answers
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