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3 years ago

PLEASE HELP WITH NUMBER FIVE

Mathematics

1 answer:

maksim [4K]3 years ago

6 0

Answer:

The triangle WXY is an isoscels triangle with the base XY.

Step-by-step explanation:

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A carpenter purchased 50 ft of redwood and 70 ft of pine for a total cost of $280. A second purchase, at the same prices, includ

iris [78.8K]

The cost per foot of redwood and of pine is $3.5 and $1.5 respectively.

<h3>How to solve simultaneous equation?</h3>

let

cost of redwood = x
cost of pine = y

50x + 70y = 280

100x + 60y = 440

Multiply (1) by 2

100x + 140y = 560

100x + 60y = 440

subtract to eliminate x

80y = 120

y = 120/80

y = $1.5

substitute y = 1.5 into (1)

50x + 70y = 280

50x + 70(1.5) = 280

50x + 105 = 280

50x = 280 - 105

50x = 175

x = 175 / 50

x = $3.5

Learn more about equation:

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#SPJ1

4 0

2 years ago

The city of Madison regularly checks the quality of water at swimming beaches located on area lakes. Fifteen times the concentra

Maksim231197 [3]

Answer:

The sample standard deviation is 393.99

Step-by-step explanation:

The standard deviation of a sample can be calculated using the following formula:

$s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }$

Where:

$s=$ Sample standart deviation

$N=$ Number of observations in the sample

${\displaystyle \textstyle {\bar {x}}}=$ Mean value of the sample

and $\sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }$ simbolizes the addition of the square of the difference between each observation and the mean value of the sample.

Let's start calculating the mean value:

$\bar {x}=\frac{1}{N} \sum_{i=1}^{N}x_{i}$

$\bar {x}=\frac{1}{15}*(180+1600+90+140+50+260+400+90+380+110+10+60+20+340+80)$

$\bar {x}=\frac{1}{15}*(3810)$

$\bar {x}=254$

Now, let's calculate the summation:

$\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=(180-254)^2+(1600-254)^2+(90-254)^2+...+(80-254)^2$

$\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=2173160$

So, now we can calculate the standart deviation:

$s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }$

$s=\sqrt[ ]{\frac{1}{15-1}*(2173160)}$

$s=\sqrt[ ]{\frac{2173160}{14}}$

$s=393.99$

The sample standard deviation is 393.99

3 0

4 years ago

A car rental agency currently has 44 cars available, 28 of which have a gps navigation system. one of the 44 cars is selected ra

Vitek1552 [10]

Propability of pick car randomly is 1/44

4 0

3 years ago

The figure shows two triangles on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis an

pentagon [3]

Answer:

A 180 degree counterclockwise rotation about the origin followed by a translation 5 units to the right

Step-by-step explanation:

4 0

4 years ago

When you last balanced your checkbook, you had $463.76. You then wrote checks for $12.56, $52.11 and $26.03. You deposited $101.

Sonja [21]

Add your checks: 12.56 + 52.11 + 26.03 = 90.70

Subtract that from starting balance:

463.76 - 90.70 = 373.06

Add the deposits:

373.06 + 101.32 + 10.98 = 485.36

Your balance is correct.

Subtract your balance from the bank balance:

511.39 - 485.36 = 26.03

The difference is the amount of one of the checks you wrote, which means that check has not been cashed yet.

You did not do anything wrong.

5 0

3 years ago