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3 years ago

Point AA is located at (9,−2). What is the location of the image after a translation along ⟨5,−3⟩ and reflected in the y-axis.

Mathematics

1 answer:

Veronika [31]3 years ago

6 0

(9, -2) translated (x + 5, y - 3) => (14, -5)
(14, -5) reflected across the y-axis =>
(- 14, - 5)

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The inspection division of the Lee County Weights and Measures Department is interested in estimating the actual amount of soft

cluponka [151]

Answer:

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 64 - 1 = 63

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.98}{2} = 0.99$ . So we have T = 2.387

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.387\frac{0.06}{\sqrt{64}} = 0.02$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters

The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

7 0

3 years ago

Ummm what this ?? Helping my sister

Radda [10]

Answer:

ok this the answer By definition, a rectangle is a parallelogram because its pairs of opposite sides are parallel. A rectangle also has the special characteristic that all of its angles are right angles; all four of its angles are congruent. The other special case of a parallelogram is a special type of rectangle, a square.

Step-by-step explanation:

6 0

3 years ago

for v= 4i - 5j, find unit vector u in the direction of v, and write your answer as a linear combination of the standard unit vec

umka21 [38]

Answer:

a. $u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}$

Step-by-step explanation:

The given vector is v= 4i - 5j

The magnitude of this vector is;

$|v|=\sqrt{(-4)^2+(-5)^2}$

$|v|=\sqrt{16+25}$

$|v|=\sqrt{41}$

The unit vector u in the direction of v is;

$u=\frac{v}{|v|}$

$u=\frac{4i - 5j}{\sqrt{41}}$

$u=\frac{4i }{\sqrt{41}}-\frac{5j}{\sqrt{41}}$

We rationalize to get

$u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}$

4 0

3 years ago

Read 2 more answers

Look at the image for the problem :)

8_murik_8 [283]

Answer:

$\displaystyle V = 28 \pi \ ft^3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Volume of a Cylinder Formula: $\displaystyle V = \pi r^2h$

V is volume
r is radius
h is height

Step-by-step explanation:

Step 1: Define

Radius r = 2 ft

Height h = 7 ft

Step 2: Solve for V

Substitute in variables [Volume of a Cylinder Formula]: $\displaystyle V = \pi (2 \ ft)^2(7 \ ft)$
[Volume] Evaluate exponents: $\displaystyle V = \pi (4 \ ft^2)(7 \ ft)$
[Volume] Multiply: $\displaystyle V = 28 \pi \ ft^3$

5 0

3 years ago

Joey spins a spinner and lands on the number 4. Then Jennifer spins and lands on the number 2. Are these events independent or d

miv72 [106K]

Answer:

Independent. The spins do not have any connections nor do the players.

Step-by-step explanation:

7 0

3 years ago