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2 years ago

Quadrilateral A'B'C'D is the image of quadrilateral ABCD under a translation.

Mathematics

2 answers:

Temka [501]2 years ago

8 0

Answer: 1 unit to the left, and 3 units down

Step-by-step explanation:

Luba_88 [7]2 years ago

5 0

Answer: 1 unit to the left, and 3 units down.

Step by step explanation:

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9) Let X-2, x, x+3 be the first 3 terms of a geometric sequence. FInd the value of x.. PLEASE HELP

adoni [48]

Hello,

Let's r the ration

We suppose x ≠0

x=r*(x-2)==>r=x/(x-2)

x+3=r*x==> (x+3)/x=x/(x-2)==>(x+3)(x-2)=x²
==>x²+3x-2x-6=x² ==>x-6=0==>x=6

x-2=6-4=4
x=6
x+3=6+3=9
6=4*3/2
9=6*3/2

Ration 3/2
First term: 4

7 0

3 years ago

At the end of the summer, Jamie bought a $325 surfboard for $123.50. By what percent was the surfboard marked down?

Lerok [7]

We shall see how much percentage of the original price was the price discounted and it will show the percentage decreased
325x/100=123.50
325x=12350
X=12350/325
X=38

hope u found this answer helpful

4 0

3 years ago

What is the justification for step 4 in the solution process?

iogann1982 [59]

Answer:

Multiplication property of equality

Step-by-step explanation:

Given

Step 4: b = -27/8

Required

Which property justifies it?

First, it should be noted that step 4 is a result of step 3

When step 3 is multiplied by 3/8 on both sides, we have step 4;

i.e.

$\frac{8}{3b} = -9$

$\frac{8}{3b} * \frac{3}{8} = -9 * \frac{3}{8}$

$b = -9 * \frac{3}{8}$

$b = \frac{-9 * 3}{8}$

$b = \frac{-27}{8}$

The property that allows 3/8 be multiplied on both sides is referred to as the multiplication property of equality

3 0

3 years ago

A potato was launched in the air using a potato gun. The function for the situation was h(t) = -16t^2 + 100t + 10, where t was t

givi [52]

Answer:

1. t = 0

2. t = 6.348

Step-by-step explanation:

1. Time cannot be negative.

2. The potato will not go through the ground.

4 0

4 years ago

Read 2 more answers

In 1998, as an advertising campaign, the Nabisco Company announced a "1000 Chips Challenge," claiming that every 18-ounce bag of

Phoenix [80]

Answer:

A 95% confidence interval for the mean number of chips in a bag of Chips Ahoy Cookies is [1187.96, 1288.44].

Step-by-step explanation:

We are given that statistics students at the Air Force Academy (no kidding) purchased some randomly selected bags of cookies and counted the chocolate chips.

Some of their data are given below; 1219, 1214, 1087, 1200, 1419, 1121, 1325, 1345, 1244, 1258, 1356, 1132, 1191, 1270, 1295, 1135.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean number of chocolate chips = $\frac{\sum X}{n}$ = 1238.2

s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = 94.3

n = sample of car drivers = 16

$\mu$ = population mean number of chips in a bag

Here for constructing a 95% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-2.131 < $t_1_5$ < 2.131) = 0.95 {As the critical value of t at 15 degrees of

freedom are -2.131 & 2.131 with P = 2.5%}

P(-2.131 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.131) = 0.95

P( $-2.131 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.131 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-2.131 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.131 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-2.131 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.131 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $1238.2-2.131 \times {\frac{94.3}{\sqrt{16} } }$ , $1238.2+2.131 \times {\frac{94.3}{\sqrt{16} } }$ ]

= [1187.96, 1288.44]

Therefore, a 95% confidence interval for the mean number of chips in a bag of Chips Ahoy Cookies is [1187.96, 1288.44].

7 0

3 years ago