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saw5 [17]
3 years ago
6

Graph the liney-3x= 3​

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0
(-1, 0) (0, 3)
these are the coordinates for the graph
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PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inher
lana66690 [7]

Answer:

a) n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83  

And rounded up we have that n=4906

b) For this case since we don't have prior info we need to use as estimatro for the proportion \hat p =0.5

n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724  

And rounded up we have that n=6724

Step-by-step explanation:

We need to remember that the confidence interval for the true proportion is given by :  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Part a

The estimated proportion for this case is \hat p =0.76

Our interval is at 90% of confidence, and the significance level is given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. The critical values for this case are:

z_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

The margin of error desired is given ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Replacing we got:

n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83  

And rounded up we have that n=4906

Part b

For this case since we don't have prior info we need to use as estimatro for the proportion \hat p =0.5

n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724  

And rounded up we have that n=6724

3 0
3 years ago
4. Write an equation for the line that is parallel to the given line and that passes
pentagon [3]

Answer:

y=\frac{5}{2}x-14

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

y=\frac{5}{2}x-10

In the given equation, \frac{5}{2} is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of \frac{5}{2}. Plug this into y=mx+b:

y=\frac{5}{2}x+b

<u>2) Determine the y-intercept (b)</u>

y=\frac{5}{2}x+b

Plug in the given point (-6,-29) and solve for b

-29=\frac{5}{2}(-6)+b

Simplify -6 and 2

-29=\frac{5}{1}(-3)+b\\-29=(5)}(-3)+b\\-29=-15+b

Add 15 to both sides to isolate b

-29+15=-15+b+15\\-14=b

Therefore, the y-intercept is -14. Plug this back into y=\frac{5}{2}x+b:

y=\frac{5}{2}x-14

I hope this helps!

4 0
3 years ago
In the rectangle below,
STALIN [3.7K]

Answer:

Step-by-step explanation:

In a rectangle,  diagonals are equal and bisect each other

BE  =   AE

6x - 5 = 2x +  7

6x - 2x - 5 = 7

       4x - 5 = 7

             4x = 7 + 5

             4x = 12

               x = 12/4

               x = 3

AE = 2x + 7

     = 2*3 + 7

    = 6 + 7

AE =  13

AC = 13 + 13

AC = 26

m∠EBC = 50

In rectangle, each angle is 90

m∠ABE + m∠EBC = 90

m∠ABE + 50 = 90

          m∠ABE = 90 - 50

          m∠ABE = 40

In rectangle, AB // DC and DB transversal

m∠ECD = m∠ABE   { alternate interior angles}

m∠ECD = 40

8 0
3 years ago
Chris pays a fee if the bank balance falls below $10 on the statement dae. Prior to the statement date her balance was -3.46. Th
Zina [86]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Balance prior to statement date = - 3.46

Minimum bank balance to avoid penalty = $10

The amount of deposit, d made in time in other to avoid penalty fee?

Minimum amount that most have been deposited, d :

Balance prior to statement + d ≥ minimum bank balance to avoid penalty

-3.46 + d ≥ 10

d ≥ 10 + 3.46

d ≥ 13.46

Hence, the minimum amount that must have been deposited to avoid penalty is 13.46

4 0
3 years ago
Bo bought a few items for $93.84, not including tax. If the tax rate was 7%, what was the total cost of these items, including t
Nastasia [14]

Answer:

Total cost is $100.41 ( $93.84 + $6.57)

Step-by-step explanation:

Thinking Point: The total cost is the cost of the items PLUS the tax. 93.84 ∙ 0.07 = 6.5688 (round to “cents”) = $6.57


Hope this helped!

6 0
3 years ago
Read 2 more answers
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