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Naddik [55]
2 years ago
10

Solve for x. -3.5x = -35

Mathematics
2 answers:
r-ruslan [8.4K]2 years ago
7 0

Answer:

- 3.5x =  - 35 \\ x =  \frac{ - 35}{ - 3.5}(  -  \div  -  =  + ) =  \frac{35}{35 \times .1}  \\  =  \frac{1}{.1}  = 10 \\ x = 10 \\ thank \: you

RUDIKE [14]2 years ago
7 0

Answer:

It's simple.

Step-by-step explanation:

To solve for "x", we need to divide -35 by -3.5 (isolating x)

This leaves us with x = 10.

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2.
FromTheMoon [43]

Answer:

The dimensions of the park is 18yd by 18yd

Step-by-step explanation:

A square-shaped park has an area of 324 yd.

A square is composed of equal length dimensions so if the area is 324 yd² ,the dimensions or length if one side of the square will be the root of 324 yd².

Length= √324

Length= 18 yd

Dimensions of the park is 18 yd by 18 yd

3 0
3 years ago
1. A farmer divided a field into 1-foot by 1-foot sections and tested soil samples from 32 randomly selected sections in the fie
Ad libitum [116K]
Part A

Answers:
Mean = 5.7
Standard Deviation = 0.046

-----------------------

The mean is given to us, which was 5.7, so there's no need to do any work there.

To get the standard deviation of the sample distribution, we divide the given standard deviation s = 0.26 by the square root of the sample size n = 32
So, we get s/sqrt(n) = 0.26/sqrt(32) = 0.0459619 which rounds to 0.046

================================================

Part B

The 95% confidence interval is roughly (3.73, 7.67)
The margin of error expression is z*s/sqrt(n)
The interpretation is that if we generated 100 confidence intervals, then roughly 95% of them will have the mean between 3.73 and 7.67

-----------------------

At 95% confidence, the critical value is z = 1.96 approximately

ME = margin of error
ME = z*s/sqrt(n)
ME = 1.96*5.7/sqrt(32)
ME = 1.974949
The margin of error is roughly 1.974949

The lower and upper boundaries (L and U respectively) are:
L = xbar-ME
L = 5.7-1.974949
L = 3.725051
L = 3.73
and
U = xbar+ME
U = 5.7+1.974949
U = 7.674949
U = 7.67

================================================

Part C

Confidence interval is (5.99, 6.21)
Margin of Error expression is z*s/sqrt(n)
If we generate 100 intervals, then roughly 95 of them will have the mean between 5.99 and 6.21. We are 95% confident that the mean is between those values.

-----------------------

At 95% confidence, the critical value is z = 1.96 approximately

ME = margin of error
ME = z*s/sqrt(n)
ME = 1.96*0.34/sqrt(34)
ME = 0.114286657
The margin of error is roughly 0.114286657

L = lower limit
L = xbar-ME
L = 6.1-0.114286657
L = 5.985713343
L = 5.99

U = upper limit
U = xbar+ME
U = 6.1+0.114286657
U = 6.214286657
U = 6.21
5 0
3 years ago
Consider the problem of finding the line of symmetry and vertex of the quadratic equation f(x) =x^2-8x+15 What is the error in t
Elenna [48]
\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{llccll} f(x) = &{{ 1}}x^2&{{ -8}}x&{{ +15}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
\\\\\\
\textit{so the line of symmetry will be at }x=-\cfrac{{{ b}}}{2{{ a}}}
3 0
3 years ago
Read 2 more answers
What is the value of this expression?<br> 25 - 9(2)
cestrela7 [59]
All u do is 25- 18= 7 a number in parentheses means multiply
7 0
2 years ago
Read 2 more answers
Gavin bought snacks for his team's practice. He bought a bag of apples for $2.50 and a 18-pack of juice bottles. The total cost
boyakko [2]

Answer: 87 c

Step-by-step explanation:

To evaluate the cost per juice box, we must first factor out the bag of apples from the equation. So we will disregard the price of the apples from the total price and also disregard the existence of the apples altogether.

Our new subtotal is $15.66 for eighteen juiceboxes. To find the cost for one juicebox, we divide the price & the # of juiceboxes by 18.

15.66÷18=0.87, therefore each juicebox is 87 cents.

3 0
2 years ago
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