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Mkey [24]
2 years ago
12

INTEGERS A frog starts at 0 on a number line. It jumps 100 units to the right then jumps 200 units to the left. It then jumps 19

9 units to the right followed by 198 units to the left, and then 197 units to the right followed by 196 units to the left. The frog continues to move in alternate directions. Each movement is 1 unit less than the previous movement.
Where on the number line is the frog after 10 moves? ​
Mathematics
1 answer:
Stella [2.4K]2 years ago
6 0

On the number line after 10 moves frog is at the integer -96.

Given that, a frog starts at 0 on a number line.

It jumps 100 units to the right then jumps 200 units to the left=+100-200=-100 (2 moves).

It then jumps 199 units to the right followed by 198 units to the left =-100+199-198=-99 (2 moves).

It then jumps 197 units to the right followed by 196 units to the left =-99+197-196=-98 (2 moves).

It then jumps 195 units to the right followed by 194 units to the left =-98+195-194=-97 (2 moves).

It then jumps 193 units to the right followed by 192 units to the left =-97+193-192=-96 (2 moves).

Hence, on the number line after 10 moves frog is at the integer -96.

To learn more about the integers visit:

brainly.com/question/15276410.

#SPJ1

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A recent poll of 1500 new home buyers found that 60% hired a moving company to help them move to their new home. Find the margin
Mrac [35]

Answer:

The margin of error M.O.E = 2.5%

Step-by-step explanation:

Given that;

The sample size = 1500

The sample proportion \hat p = 0.60

Confidencce interval = 0.95

The level of significance ∝ = 1 - C.I

= 1 - 0.95

= 0.05

The critical value:

Z_{\alpha/2} = Z_{0.05/2} \\ \\  Z_{0.025} = 1.96 (From the z tables)

The margin of error is calculated by using the formula:

M.O.E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1 -\hat p)}{n}}

M.O.E = 1.96 \times \sqrt{\dfrac{\hat 0.60(1 -0.60)}{1500}}

M.O.E = 1.96 \times \sqrt{\dfrac{0.24}{1500}}

M.O.E = 1.96 \times \sqrt{1.6 \times 10^{-4}}

M.O.E = 0.02479

M.O.E ≅ 0.025

The margin of error M.O.E = 2.5%

8 0
3 years ago
Plz help been stuck on it for awhile
sergejj [24]

Step-by-step explanation:

Transitive property of Angle Congruence

5 0
3 years ago
The assets (in billions of dollars) for a financial firm can be approximated by the function A(x)=318e^0.27x, where x=7 correspo
Mashutka [201]

The value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively. A function assigns the values.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the assets (in billions of dollars) for a financial firm can be approximated by the function A(x)=318e^{0.27x}, where x=7 corresponds to the year 2007. Therefore, the assets value in the following years will be,

A.) 2012 - A(12)=318e^{0.27\times 12} = 8,119.72

B.) 2014 - A(14)=318e^{0.27\times 14} = 13,933.5

C.) 2012 - A(17)=318e^{0.27\times 17} = 31,321.23

Hence, the value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively.

Learn more about Function:

brainly.com/question/5245372

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6 0
2 years ago
Which relation is a function?
IceJOKER [234]

Answer:

The bottom right option

Step-by-step explanation:

Functions need each input to map to exactly one output. Graphically speaking, this means that any two points on the function cannot have the same x-coordinate.

Given this, the bottom right option is the only one that fits these circumstances.

4 0
3 years ago
Just answer number 7 and 8
melamori03 [73]
We are given the equation:
F = 2.25+0.2(m-1)
where:
F is the fare
m is the number of miles.

In question 7, we are given that the fare (F) is equal to $6.05 and we need to get the number of miles. To do so, we will simply substitute with the fare in the given equation and solve for the number of miles (m) as follows:
F = 2.25 + 0.2(m-1)
6.05 = 2.25 + 0.2(m-1)
6.05-2.25 = 0.2(m-1)
3.8 = 0.2(m-1)
3.8/0.2 = m-1
19 = m-1
m = 19+1
m = 20 miles

Number 8 is exactly the same, but we will substitute F=7.65 and again solve for m
4 0
3 years ago
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