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2 years ago

The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?

Mathematics

1 answer:

mylen [45]2 years ago

5 0

Answer:

y = f(x-2) + 1

Step-by-step explanation:

The original functions looks like f(x) = |x|

For the new function the vertex has shifted -2 left (x) and up +1 (y)

y = f(x-2) + 1

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Two sides of a right triangle Measure 11 in and 15 in.

HACTEHA [7]

The sides could be 10.2 inches or 15.7 inches.

See the attached picture for the equations:

7 0

2 years ago

Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experime

Citrus2011 [14]

Answer:

There is enough evidence to say that the true average heat output of persons with the syndrmoe differs from the true average heat output of non-sufferers.

Step-by-step explanation:

We have to perform a hypothesis test on the difference between means.

The null and alternative hypothesis are:

$H_0: \mu_1-\mu_2=0\\\\H_a: \mu_1-\mu_2$

μ1: mean heat output for subjects with the syndrome.

μ2: mean heat output for non-sufferers.

We will use a significance level of 0.05.

The difference between sample means is:

$M_d=\bar x_1-\bar x_2=0.63-2.09=-1.46$

The standard error is

$s_{M_d}=\sqrt{\sigma_1^2/n_1+\sigma_2^2/n_2}=\sqrt{0.3^2/9+0.5^2/9}=\sqrt{ 0.038 } \\\\ s_{M_d}=0.194$

The t-statistic is

$t=\dfrac{M_d}{s_{M_d}}=\dfrac{-1.46}{0.194}=-7.52$

The degrees of freedom are

$df=n_1+n_2-2=9+9-2=16$

The critical value for a left tailed test at a significance level of 0.05 and 16 degrees of freedom is t=-1.746.

The t-statistic is below the critical value, so it lies in the rejection region.

The null hypothesis is rejected.

There is enough evidence to say that the true average heat output of persons with the syndrmoe differs from the true average heat output of non-sufferers.

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2 years ago

Brainliest pls help (dont have to show work)

Kitty [74]

Answer:

-2.35

Step-by-step explanation:

5 0

3 years ago

Determine whether each set of numbers can be the measure of the sides of a triangle. If so, classify the triangle as acute, righ

ElenaW [278]

The following set of numbers 2√3, 4√2, and 3√5, can be the measures of the sides of an obtuse triangle.

A triangle is a polygon with three sides and three vertices.

To know if a set of number is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

let a = 2√3, b = 4√2, and c = 3√5

a + b > c 2√3 + 4√2 > 3√5 9.12 > 6.71 True

a + c > b 2√3 + 3√5 > 4√2 10.17 > 5.66 True

b + c > a 4√2 + 3√5 > 2√3 12.37 > 3.46 True

To know what type of triangle based on the length of its side:

1. Take the sum of the squares of the two smaller sides.

(2√3)^2 + (4√2)^2 = 44

2. Compare it to the square of the largest side.

(3√5)^2 = 45

44 < 45

If the sum of the squares of the 2 is larger than the square of the 3rd, it is an acute triangle.

if they are equal, it is a right triangle