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3 years ago

What is the image of (3,-5) after a dilation by a scale factor of 55 centered at the origin?

Mathematics

1 answer:

jolli1 [7]3 years ago

5 0

Answer:

7.789

Step-by-step explanation:

i got it right and

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Use the t-distribution and the sample results to complete the test of the hypotheses. Use a significance level. Assume the resul

Ksenya-84 [330]

Answer:

Test statistic = 1.3471

P-value = 0.1993

Accept the null hypothesis.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4

Sample mean, $\bar{x}$ = 4.8

Sample size, n = 15

Alpha, α = 0.05

Sample standard deviation, s = 2.3

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 4\\H_A: \mu \neq 4$

We use two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{4.8 - 4}{\frac{2.3}{\sqrt{15}} } = 1.3471$

Now, we calculate the p-value.

P-value = 0.1993

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.

3 0

3 years ago

Write the standard form of the line that passes through the given points. include your work in your final answer. (-1, -3) and (

yan [13]

The standard form of a line passing through the points (-1, -3) and (2, 1) is 4x - 3y = 5.

The slope of the given line, m = (1 - (-3))/(2 - (-1)) = (1 + 3)/(2 + 1) = 4/3.

Computed using the formula for the slope of a line, m = (y₂ - y₁)/(x₂ - x₁), when a line passes through the points (x₁, y₁) and (x₂, y₂).

The point intercept form of a line is y - y₁ = m(x - x₁) when the line passes through the point (x₁, y₁) and has the slope m.

Thus, the given line in the point intercept form can be written as:

y - 1 = (4/3)(x - 2).

The standard form of a line is ax + by = c.

To convert the point intercept form to the standard form, we do as follows:

y - 1 = (4/3)(x - 2),

or, 3(y - 1) = 3(4/3)(x - 2) {Multiplying both sides by 3},

or, 3y - 3 = 4x - 8 {Simplifying},

or, 8 - 3 = 4x - 3y {Rearranging},

or, 4x - 3y = 5 {Rearranging and simplifying}.

Thus, the standard form of a line passing through the points (-1, -3) and (2, 1) is 4x - 3y = 5.

Learn more about equations of straight lines at

brainly.com/question/13763238

#SPJ4

6 0

2 years ago

Write 400 in scientific notation.

OlgaM077 [116]

= 4 × 10 to the power of 2

Step-by-step explanation:

3 0

3 years ago

What is the volume of a box with a width 2 1/2 inches, length 1 3/4 inches, and height 3 1/4 inches?

enot [183]

Answer:

The volume of the box is 41.21 inches cube.

Step-by-step explanation:

Given,

Width of the box $2\frac{1}{2}$ inches

$=\frac{5}{2}$ inches

Length of the box $1\frac{3}{4}$ inches

$=\frac{7}{4}$ inches

Height of the box $3\frac{1}{4}$ inches

$= \frac{13}{4}$ inches

The box is in cuboid form.

The volume of cuboid is given by (length × breadth × height ).

So,

volume of the box is $( \frac{5}{2}$ × $\frac{7}{4}$ × $\frac{13}{4}$ $)$

= $( \frac{455}{32} )$

$= 14.21$ inches cube

The volume of the box is 41.21 inches cube.

8 0

3 years ago

Enter the y-intercept of the function

Advocard [28]

The y intercept is (0 , 9)

when x is zero, the number in the y value is the y-intercept

8 0

3 years ago