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IRISSAK [1]
3 years ago
14

Use divisions to convert the base ten numeral 2308 to base seven

Mathematics
1 answer:
Contact [7]3 years ago
8 0
Hard work you got there keep looking !

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A researcher wishes to​ estimate, with 9090​% ​confidence, the proportion of adults who have​ high-speed Internet access. Her es
Sunny_sXe [5.5K]

Answer:  a) Required minimum sample size= 219

b) Required minimum sample size= 271

Step-by-step explanation:

As per given , we have

Margin of error : E= 5% =0.05

Critical z-value for 90% confidence interval : z_{\alpha/2}=1.645

a) Prior estimate of true proportion: p=28%=0.28

Formula to find the sample size :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.28(1-0.28)(\dfrac{1.645}{0.05})^2\\\\=218.213856\approx219

Required minimum sample size= 219

b) If no estimate of true proportion is given , then we assume p= 0.5

Formula to find the sample size :-

n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.645}{0.05})^2\\\\=270.6025\approx271

Required minimum sample size= 271

8 0
2 years ago
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
viktelen [127]

Answer:

(5,-6) is a solution

Step-by-step explanation:

Given

6x + 3y = 12

4x + y = 14

Required

Tell whether (5,-6) is a solution

In (5,-6): x = 5 and y = -6.

Substitute these values in the given equations

6x + 3y = 12 becomes

6 * 5 + 3 * -6 = 12

30-18 = 12

12 = 12

4x + y = 14 becomes

4 * 5 - 6 = 14

20 - 6 = 14

14 = 14

Because both solutions are true, then (5,-6) is a solution

8 0
3 years ago
Simplify the solution (2¼)½​
BlackZzzverrR [31]
I think the answer is 1 1/8
6 0
2 years ago
Read 2 more answers
A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft and weighs 50 lb. The se
nydimaria [60]

Answer:

Number of units of first product = 112

Number of units of second product = 400

Step-by-step explanation:

Given that there are two products which are to be shipped.

<em>First product details:</em>

Unit volume = 10 cu ft

Weight of one unit = 50 lb

<em>Second product details:</em>

Unit volume = 3 cu ft

Weight of one unit = 40 lb

Total volume that can be carried by a truck = 2320 cu ft

Total weight that can be carried by a truck = 21600 cu ft

To find:

The number of units of each product that can be transported in one shipment in the truck?

Solution:

Let number of units of first product = x

Let number of units of second product = y

We can write down two linear equations in two variables here and solving them will give us the answer we are required to find.

As per question statement, the equations can be written as:

10x+3y = 2320 ...... (1)\\50x+40y = 21600\\\Rightarrow  5x+4y = 2160...... (2)

Multiplying equation (2) with 2 and subtracting equation (1) from it:

8y - 3y = 4320-2320\\\Rightarrow 5y = 2000\\\Rightarrow \bold{ y = 400}

By equation (1):

10x+1200 = 2320\\\Rightarrow 10x = 1120\\\Rightarrow \bold{x = 112}

Answer is:

Number of units of first product = 112

Number of units of second product = 400

6 0
2 years ago
How do u find tip amount from a bill of $67.51 and a tip of 20%
Troyanec [42]

Answer:

$13.50 is the tip

OR

$81.01 is total bill

Step-by-step explanation:

total of bill multiplied by 20%

$67.51 x .20 = $13.50

For total bill amount:

$67.51 + $13.50 = $81.01

4 0
3 years ago
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