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eimsori [14]
2 years ago
10

Write an equation in slope intercept form of the line

Mathematics
1 answer:
Paraphin [41]2 years ago
8 0

Answer:

4x + 4

Step-by-step explanation:

(4, 5) and (8, 6) are points on the line.

Using delta method:

4 to 8 = +4

5 to 6 = +1

Slope = 4

The line intercepts the y-axis at (0, 4)

Y-int = 4

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Chicken Delight claims that 87% of its orders are delivered within 10 minutes of the time the order is placed. A sample of 80 or
jeka57 [31]

Answer:

There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.

Decision rule: Reject the null hypothesis if (P-value < level of significance)

Test statistic z=-2.70

Decision: Reject the null hypothesis (0.003<0.010)

Step-by-step explanation:

In this question we have to test an hypothesis.

The null and alternative hypothesis are:

H_0: \pi\geq0.87\\\\H_a:\pi

The significance level is assumed to be 0.01.

The sample of size n=80 gives a proportion of p=61/80=0.7625.

The standard deviation is:

\sigma=\sqrt{\frac{\pi(1-\pi)}{N} }=\sqrt{\frac{0.87*0.13}{80} }=0.0376

The statistic z is then

z=\frac{p-\pi+0.5/N}{\sigma}=\frac{0.7625-0.87+0.5/80}{0.0376} } =\frac{-10125}{0.0376} =-2.70

The P-value is

P(z

The P-value (0.003) is smaller than the significance level (0.010), so the effect is significant. The null hypothesis is rejected.

There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.

Decision rule: Reject the null hypothesis if (P-value < level of significance)

Test statistic z=-2.70

Decision: Reject the null hypothesis (0.003<0.010)

6 0
3 years ago
Solve x
d1i1m1o1n [39]

Step-by-step explanation:

x^{2} - 4x - 7 = 0

First, let's move the 7 to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:

x^{2} - 4x = 7

From here, since the coefficient of the x term is -4, we know the square will be (x - 2) (since -2 it's half of -4).

To complete this square, we will need to add (-2)^{2} to both sides of the equation:

x^{2} - 4x + (-2)^2 = 7 + ^{-2}

x^{2} - 4x + 4 = 7 + 4

(x - 2)^{2} = 11

Now we can take the square root of both sides to figure out the solutions to x:

x - 2 = \pm \sqrt{11}

x = 2 \pm \sqrt{11}

7 0
3 years ago
What is 1 times 1 plus 85 plus an extra 4
Elodia [21]

Answer: 90

Step-by-step explanation: 1 Multiplied By 1 Is 1 So If You Add 85 To It You Get 86 Add 4 To That You Get 90

6 0
3 years ago
Read 2 more answers
Which expression represents the following statement: x is no less than 0. x&gt;0 x≤0 x≥0 x&lt;0
ki77a [65]

Answer: x ≥ 0

Step-by-step explanation:

First, let's define the symbols used:

a < x              (this means that a is strictly smaller than x)

a > x              (this means that a is strictly larger than x)

a ≤ x              (this means that a is smaller than or equal to x)

a ≥ x              (this means that a is larger than or equal to x)

Now we have the statement "x is no less than 0"

Then x can be equal to zero, or larger than zero, but never smaller than zero.

Looking at the symbols above, we know that we need to use:

x ≥ 0

(this is equivalent to the statement)

7 0
3 years ago
Read 2 more answers
The diffrence of twice a number and 3 is -21
Alika [10]

Answer:

x = - 9

Step-by-step explanation:

Step 1:

2x - 3 = - 21    Equation

Step 2:

2x = - 18     Add 3 on both sides

Step 3:

- 18 ÷ 2    Divide

Answer:

x = - 9

Hope This Helps :)

8 0
3 years ago
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