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2 years ago

Use the drawing tool(s) to form the correct answers on the provided graph.

Mathematics

2 answers:

omeli [17]2 years ago

7 0

Answer:

Step-by-step explanation:

Recognize from examining this function h( x ) = ( x + 1 )^2 - 4 that it is a quadratic function whose graph is a parabola that opens up. The vertex is at (h, k): (-1, -4). The axis of symmetry is the vertical line passing through the vertex: x = -1.

To find the y-intercept, let x = 0 and solve for y: h(0) = (0 + 1)^2 - 4 = -3. Thus, the y-intercept is (-3, 0).

To find the x-intercepts, set y = 0 and solve for x: 0 = h(x) = (x + 1)^2 - 4, or

(x + 1)^2 = 4. Taking the square root of both sides, we get x + 1 = ±2, whose roots are x = 1 and x = -3: (1, 0) and (-3, 0).

Graph all of these points and the axis of symmetry. Sketch the parabola that goes through these points.

Vera_Pavlovna [14]2 years ago

3 0

Answer:

h( x ) = ( x + 1 )^2 - 4 x(h)×(÷×1)^2-4

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A sample of 47 observations is selected from a normal population. The sample mean is 30, and the population standard deviation i

erma4kov [3.2K]

Answer:

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 29

Sample mean, $\bar{x}$ = 30

Sample size, n = 47

Alpha, α = 0.05

Population standard deviation, σ = 5

First, we design the null and the alternate hypothesis

$H_{0}: \mu \leq 29\\H_A: \mu > 29$

a) This is a one-tailed test because the alternate hypothesis is in greater than direction.

We use One-tailed z test to perform this hypothesis.

b) $z_{stat} > z_{critical}$ , we reject the null hypothesis and accept the alternate hypothesis and if $z_{stat} < z_{critical}$ , we accept the null hypothesis and reject the alternate hypothesis.

c) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{30 - 29}{\frac{5}{\sqrt{47}} } = 1.37$

d) Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} < z_{critical}$

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

e) P-value is 0.0853

On the basis of p value we again accept the null hypothesis.

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3 years ago

Cindys grandmother is five times her age. Find each of their ages if the sum of their ages is 90

yan [13]

Answer:

cindy=15 grandmother=75

Step-by-step explanation:

90 divide 6 equal to 15

6 0

2 years ago

the age of three brothers are consecutive even integers. three times the age of the youngest brother exceeds the oldest brother'

kiruha [24]

16
x * 3 = 48
so divide 48 by 3
which is 16 so x = 16

3 0

2 years ago

Reduce to simplest form. <br> -7/12 +3/8

gayaneshka [121]

Answer:

ok so you should get -5/24 in simplest form.

Decimal form- -0.2083 repeating

Step-by-step explanation:

Hope this helped :)

4 0

2 years ago

Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randoml

vovikov84 [41]

Answer: 0.3439

Step-by-step explanation:

Given :The last four digits for telephone numbers are randomly selected (with replacement).

Here , each position can be occupied with any of the digit independently .

Total digits = 10

Total digits other than 0 = 9

For each digits , the probability that it is not 0 = $\dfrac{9}{10}=0.9$

If we select 4 digits , The probability of getting no 0 = $(0.9)^4 =0.6561$

(By multiplication rule of independent events)

Now , the probability that for one such phone number, the last four digits include at least one 0. = 1- P(none of them is 0)

=1- 0.6561=0.3439

Hence, the probability that for one such phone number, the last four digits include at least one 0. is 0.3439 .

4 0

2 years ago