Find the sum: 4,068 + 2,291

Help anyone can help me do this question,I will mark brainlest.

postnew [5]

Answer:

Step-by-step explanation:

7 0

2 years ago

A plumber's daily earnings have a mean of $145 per day with a standard deviation of $16.50.

avanturin [10]

Step-by-step explanation:

The plumber's daily earnings have a mean of $145 per day with a standard deviation of

$16.50.

We want to find the probability that the plumber earns between $135 and

$175 on a given day, if the daily earnings follow a normal distribution.

That is we want to find P(135 <X<175).

Let us convert to z-scores using

$z = \frac{x - \mu}{ \sigma}$

This means that:

$P(135 \: < \: X \: < \: 175) = P( \frac{135 - 145}{16.5} \: < \: z \: < \frac{175 - 145}{ 16.5} )$

We simplify to get:

$P(135 \: < \: X \: < \: 175) = P( - 0.61\: < \: z \: < 1.82 )$

From the standard n normal distribution table,

P(z<1.82)=0.9656

P(z<-0.61)=0.2709

To find the area between the two z-scores, we subtract to obtain:

P(-0.61<z<1.82)=0.9656-0.2709=0.6947

This means that:

$P(135 \: < \: X \: < \: 175) =0.69$

The correct choice is C.

7 0

2 years ago

The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pi

Helga [31]

Answer:

2.50 dollars.

Step-by-step explanation:

Given:

Will and his friends buy a large salad to share and several slices of pizza, p.

The graph given shows the total cost for lunch, c and slices of pizza,p.

p is marked horizontally, and c vertically.

Observing the points marked we find that for every increase of one slice of pizza, the cost i.e. c on vertical line increases by 0.50 times vertical grid.

Since each grid equals 5 dollars vertically, we find 1/2 grid increase is equal to increase of 1/2(5 ) =2.50 dollars.

Thus for increase of one slice of pizza, 2.50 dollars cost is increased.

5 0

2 years ago

Read 2 more answers

Jamie ordered 200 business cards and paid $23. She ordered 500 business cards a few months later and paid $35. Write and solve a

Gnesinka [82]

Answer:

To purchase 700 business cards, Jamie needs to pay $43.

Step-by-step explanation:

We are given that Jamie ordered 200 business cards and paid $23 in total.

We are also given that Jamie ordered 500 business cards and paid $35.

We can use the rate of change formula to find the average change.

$\displaystyle \bullet \ \ \ \frac{\triangle y}{\triangle x}$

This can also be represented with:

$\displaystyle \bullet \ \ \ \frac{y_2-y_1}{x_2-x_1}$

Therefore, we need to identify our variables.

In every relationship, there is a <u>dependent variable</u> and an <u>independent variable</u>.

The independent variable is the variable that an experimenter adjusts in order to receive an altered effect from an output.
The dependent variable is the variable that adjusts based on the changes made to the independent variable.

We change the amount of business cards that are purchased, which in turn, changes the price.

The y-variable is assigned to the dependent variable and the x-variable is assigned to the dependent variable.

Therefore, if we use the coordinate system:

(200, 23)
(500, 35)

Now, we can name our coordinates. We use this system:

(x₁, y₁)
(x₂, y₂)

This means that we can name our points:

x₁ = 200
y₁ = 23
x₂ = 500
y₂ = 35

Revisiting the rate of change formula, we can insert these values.

$\displaystyle \frac{y_2-y_1}{x_2-x_1}$

$\displaystyle \frac{35 - 23}{500-200}\\\\\frac{12}{300}=\frac{1}{25}$

Next, we need to find the y-intercept of our line. We can do this by using one coordinate pair from above and our slope.

The slope-intercept equation is:

$\bullet \ \ \ y = mx + b$

We already know m:

$\displaystyle \bullet \ \ \ \frac{1}{25}$

We also know x and y (we take them from of the coordinate pairs):

$\bullet \ \ \ x = 200$

$\bullet \ \ \ y = 23$

Now, we can substitute these values into the equation and solve for b.

$\displaystyle [y = mx + b]\\\\23 = \frac{1}{25}(200) + b\\\\23 = 8 + b\\\\23 - 8 = 8 - 8 + b\\\\15 = b\\\\b = 15$

Now, we can set up our linear equation.

$\displaystyle y = \frac{1}{25}x + 15$

Therefore, in order to find the price of 700 business cards, we make x in the equation equal 700 and then solve.

$\displaystyle y = \frac{1}{25}(700)+15\\\\y = 28 + 15\\\\y = 43$

Therefore, the price of 700 business cards is equal to $43.

3 0

2 years ago

Explain, using complete sentences, the Transitive Property of Equality in geometric terms.

MariettaO [177]

Answer:

Transitive Property of Equality. The following property: If a = b and b = c, then a = c. One of the equivalence properties of equality. Note: This is a property of equality and inequalities. (Click here for the full version of the transitive property of inequalities.)

<h2>Please mark me as brainlyist quick</h2>

6 0

2 years ago