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nadya68 [22]
3 years ago
12

How do I graph y is less than -1 on a number graph

Mathematics
1 answer:
lana66690 [7]3 years ago
6 0
I used a dash line because the term 'less than' does not include the value itself.

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(5x^2)^3+16y divide 4y for x=2andy=3
kherson [118]

Answer:

30 2/3

Step-by-step explanation:

4 0
3 years ago
A car travels 58.6 miles an hour. if the car continues at the same speed for 14 hours, how many miles will it travel
SSSSS [86.1K]

Answer:

58.6*14=820.4 miles

Step-by-step explanation:

5 0
3 years ago
Two numbers are in a ratio of 1:4 and their sum is 50. What is the smaller number?
katrin [286]
Let us assume the common ratio to be = x
Then
(1 * x) + (4 * x) = 50
x + 4x = 50
5x = 50
x = 50/5
   = 10
So from the above deduction, we get the common ratio to be equal to 10
Then
The smallest number = 1 * x
                                  = 1 * 10
                                  = 10
3 0
3 years ago
In a survey of 1,003 adults concerning complaints about restaurants, 732 complained about dirty or ill-equipped bathrooms and 38
Ganezh [65]

Answer:

a

0.716  <  p <  0.744

b

0.3498  <  p <  0.4089

c

 With the result obtained from a and b the manager can be 95 % confidence that the proportion of the population that complained about dirty or ill-equipped bathrooms are within the interval obtained at  a

and that

the proportion of the population that complained about loud or distracting diners at other tables are within the interval obtained at  b

Step-by-step explanation:

From the question we are told that

The sample size is  n  =  1003

The number that complained about dirty or ill-equipped bathrooms is e = 732

 The number that complained about loud or distracting diners at other tables is  q =  381

Given that the the confidence level is  95% then the level of significance is mathematically represented as  

         \alpha = (100- 95)\%

         \alpha = 0.05

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the value is  

         Z_{\frac{\alpha }{2} } =  1.96

Considering question a

The sample proportion is mathematically represented as

           \r p  =  \frac{e}{n}

=>        \r p  =  \frac{732}{1003}

=>        \r p  =  0.73

Generally the margin of error is mathematically represented as

          E =  Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{ \r p (1- \r p)}{n} }

          E =  1.96*  \sqrt{ \frac{ 0.73 (1- 0.73)}{1003} }

          E = 0.01402

The 95% confidence interval is  

        \r p  -  E  <  p  <  \r p +E

        0.73 - 0.01402 <  p <  0.73 +  0.01402

        0.716  <  p <  0.744

Considering question b

The sample proportion is mathematically represented as

           \r p  =  \frac{q}{n}

=>        \r p  =  \frac{381}{1003}

=>        \r p  =  0.3799

Generally the margin of error is mathematically represented as

          E =  Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{ \r p (1- \r p)}{n} }

          E =  1.96*  \sqrt{ \frac{ 0.3799 (1- 0.3799)}{1003} }

          E = 0.0300

The 95% confidence interval is  

        \r p  -  E  <  p  <  \r p +E

        0.3798 - 0.0300 <  p <  0.3798 + 0.0300

        0.3498  <  p <  0.4089

8 0
3 years ago
The lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when
Natalka [10]

Answer:

These lines will be perpendicular when m =  ³⁄₂

Step-by-step explanation:

Two lines are perpendicular when the product of their gradients equal to -1. So:

m₁ * m₂ = -1

Let's get the first equation in gradient-intercept form (same as equation two).

2x + 3y = 4

3y = -2x + 4

y = -⅔x + ⁴⁄₃

We know the first gradient, and now we can find the gradient of the second line (which when multiplied will result in -1 as these lines are perpendicular). So:

-⅔ * m₂ = -1

m₂ =  ³⁄₂

5 0
3 years ago
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