What does the solution to an equation with one solution look like?

Martina has a circle with a diameter

klasskru [66]

Answer:

The ratio of the circumference to its diameter remains the same.

Step-by-step explanation:

Given,

diameter of circle = 6 inch

diameter is doubled.

New diameter of circle = 2 x 6 = 12 inch

We know that,

The Circumference of a circle is 2 π r or π d where r is the radius of the circle and d is the diameter of the circle.

Circumference of the circle when the diameter is 6 inches.

C₁ = 6π

Ratio of circumference to diameter

Ratio = $\dfrac{6\pi}{6}$

Ratio = π

When the diameter is 12 inches

C₂ = 12 π

Ratio of circumference to diameter

Ratio = $\dfrac{12\pi}{12}$

Ratio = π

Now, the correct statement is the ratio of the circumference to its diameter remains the same if the diameter is doubled.

4 0

3 years ago

Amaya is graphing the inequality x greater-than 11 on a number line. Which statements below describe steps she may take to graph

loris [4]

Answer:

Draw open circle AT 11

Shade all numbers to the right of 11

Step-by-step explanation:

Have a great day!

3 0

3 years ago

Read 2 more answers

Show all relevant steps.

bija089 [108]

Answer:

Step-by-step explanation:

A

5 0

3 years ago

Read 2 more answers

Use the given information to find the minimum sample size required to estimate an unknown population mean μ

Nastasia [14]

Answer:

94

Step-by-step explanation:

Margin of error = E = $ 120

Confidence Level = 95%

The z-score for 95% confidence level from the z-table = z = 1.96

Population standard deviation = σ = $593

Sample size = n = ?

The formula to calculate the margin of error is:

$E=\frac{z \sigma}{\sqrt{n} }$

Re-arranging the equation, we get:

$\sqrt{n}=\frac{z \sigma}{E}\\\\ n = (\frac{z \sigma}{E})^{2}$

Using the given values in above equation, we get:

$n=(\frac{1.96 \times 593}{120} )^{2}\\\\ n = 93.8$

Rounding of to next higher integer, we get n = 94

Thus, we need a sample size of 94 to estimate an unknown population mean μ

4 0

3 years ago

Calculate the residuals for the scatter plot (image provided)

Deffense [45]

From the given graph, and using the scatter plot function of a graphing calculator, the residuals are;

-0.08693, -0.019376, -0.518, -0.183, -0.083, 0.135, 0.318, and 0.578

<h3>Which method can be used to find the residuals?</h3>

From the diagram, the given points are;

(14, 4), (15, 4), (16.5, 3.5), (18, 4), (18, 3.9), (19.5, 3.85), (20, 4), (26.8, 3.8)

Utilizing a graphing calculator, using the scatter plot function we have the following predicted values;

Best fit line; y = 5.032 - 0.0676•x

Residuals = Actual - Predicted from equation

The residuals are;

y1 = 4 - 4.08693 = -0.08693

y2 = 4 - 4.019376 = -0.019376

y3 = 3.5 - 3.918 = -0.518

y4 = 4 - 3.817 = -0.183

y5 = 3.9 - 3.817 = -0.083

y6 = 3.85 - 3.715 = 0.135

y7 = 4 - 3.682 = 0.318

y8 = 3.8 - 3.222 = 0.578

The residuals are therefore;

The residuals are;

-0.08693, -0.019376, -0.518, -0.183, -0.083, 0.135, 0.318, and 0.578

Learn more about finding the residuals of a scatter plot here:

brainly.com/question/16511034

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8 0

2 years ago