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3 years ago

Richard’s checking account balance was $57.34 at the beginning of the week. During the week, he recorded the transactions below.

Mathematics

2 answers:

Ahat [919]3 years ago

6 0

Answer: 132.45

Step-by-step explanation: i just answered the question :))

Andrej [43]3 years ago

3 0

Answer:

<u>Richard’s account balance at the end of the week = US$ 132.45</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Richard’s checking account balance at the beginning of the week = $57.34

2. What was Richard’s account balance at the end of the week?

Deposits of the week = US$ 163.75

Expenses of the week = Groceries + Credit card bill + Gas

Expenses of the week = 25.37 + 50 + 13.27

Expenses of the week = US$ 88.64

Richard’s account balance at the end of the week = Richard’s checking account balance at the beginning of the week + Deposits of the week - Expenses of the week

Replacing with the real values:

Richard’s account balance at the end of the week = 57.34 + 163.75 - 88.64

<u>Richard’s account balance at the end of the week = US$ 132.45</u>

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Now use technology and use the cumulative probability 0.95, the mean muequals10.5, and the standard deviation sigmaequals4.10

makvit [3.9K]

Answer:

18.5

Step-by-step explanation:

In the above question, we are given the following values

Cumulative probability ( confidence interval) = 0.95 = 95%

Mean = 10.5

Standard deviation = 4.10

We are asked to find the value of x.

To solve for x , we would be using the z score formula.

z score = (x-μ)/σ,

where x is the raw score,

μ is the population mean

σ is the population standard deviation

z score was not given in the question, but we have our cumulative probability as 95%(0.95).

Using the appropriate table,

the z score for 95% confidence is z = 1.96.

Therefore,

z score = (x-μ)/σ,

1.96 = x - 10.5/4.10

Cross multiply

1.96×4.10 = x - 10.5

x = (1.96 × 4.10) + 10.5

x = 8.036 + 10.5

x = 18.536

Approximately to 1 decimal place

x = 18.5

4 0

3 years ago

Write the equation of the line that goes through each set of points (-1,6),(3-2)

Mariana [72]

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-1, 6) and (3, -2). Substitute:

$m=\dfrac{-2-6}{3-(-1)}=\dfrac{-8}{4}=-2\\\\y-6=-2(x-(-1))\\\\y-6=-2(x+1)\qquad\text{use distributive property}\\\\y-6=-2x-2\qquad\text{add 6 to both sides}\\\\y=-2x+4\qquad\text{add 2x to both sides}\\\\2x+y=4$

<h3>Answer:</h3><h3>y - 6 = -2(x + 1) <em>point-slope form</em></h3><h3>y = -2x + 4 <em>slope-intercept form</em></h3><h3>2x + y = 4 <em>standard form</em></h3>

4 0

3 years ago

Need help ASAP I tried to do the problem but I don't know how

inysia [295]

Answer:

see below

Step-by-step explanation:

(a) the graph is symmetrical about the horizontal axis. It has a maximum value of r = 3 at θ = π.

(b) The graph is symmetrical about both the horizontal and the vertical axis. It has a maximum value of r = 1 at θ = 0 and θ = π. (Note this curve has subtle differences from the inner loop of the above curve.)

_____

<em>About how</em>

As with any graphing problem, when doing it by hand, one chooses enough points to give the general shape of the curve. In some cases, quite a few points may be required. It is often helpful to use a spreadsheet for calculating the point values. Here, we've graphed the equations using "technology"--a graphing calculator.