All categories

3 years ago

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.

You might be interested in

(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:

$0.716 < p < 0.744$

$0.3498 < p < 0.4089$

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