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2 years ago

14

On a map, two cities are 6 1/2 inches apart. The actual distance between the cities is 104 miles. What is the scale of the map?

1 answer:

zloy xaker [14]2 years ago

6 0

1 1/4in per 20mi I think is your answer

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Michael’s weight can be represented by the expression 72x^5. Al’s weight can be represented by the expression 9x^7.

podryga [215]

Answer:

a) $\frac{72x^5}{9x^7}$

b) $=\frac{8}{x^2}$

c), Yes; $8x^2$

Step-by-step explanation:

Michael's Weight: $72x^5$

Al's weight: $9x^7$

a) Ratio of Michael's weight to Al's weight: $\frac{72x^5}{9x^7}$

b) This ratio simplifies to: $\frac{8\times 9x^5}{9x^5\timesx^2}$

$=\frac{8}{x^2}$

c) Yes, If the exponent in each expression were negative, then we have:

Ratio of Michael's weight to Al's weight: $\frac{72x^{-5}}{9x^{-7}}$

This ratio simplifies to: $8x^{-5--7}=8x^2$

The two ratios are not the same.

3 0

3 years ago

The class average on a math test was an 82 with a standard deviation of 5. If the

Alex787 [66]

Answer:

Option 3 and 4.

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation$

Given that mean (μ) = 82, standard deviation (σ) = 5

1) For x = 74:

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{74-82}{5} =-1.6$

Option 1 is incorrect

2) For x < 87

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{87-82}{5} =1$

From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%

Option 2 is incorrect

3) For x = 95:

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{95-82}{5} =2.6$

Option 3 is correct

4) For x < 77

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{77-82}{5} =-1$

From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%

Option 4 is correct

5) For x > 92

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{92-82}{5} =2$

From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%

Option 5 is incorrect

8 0

2 years ago

Find the volume of the solid figure shown below. The area of the base is 40 square inches and the height of the figure is 7 inch

Marrrta [24]

Answer:

$\displaystyle V _{ \text{cuboid}} =280 {in}^{3}$

Step-by-step explanation:

we are given the base area and the height of a solid figure

since the base area is not perfect square

we assure the solid figure to be a cuboid

remember that,

$\displaystyle V _{ \text{cuboid}} = l\times w \times h$

we are given l×w is 40 and h is 7

so substitute

$\displaystyle V _{ \text{cuboid}} =40 \times 7$

simplify multiplication:

$\displaystyle V _{ \text{cuboid}} =280$

hence,

the volume of the figure is 280 in³

4 0

2 years ago

Which equation represents the formula for the general term, gn, of the geometric sequence 3, 1, 1/3, 1/9, . . .?

dedylja [7]

Answer:

Explicit form: $g_n=3(\frac{1}{3})^{n-1}$

Recursive form: $g_n=\frac{1}{3}g_{n-1}$ with $g_1=3$ .

Step-by-step explanation:

The first term is 3 and we are dividing by 3 each time.

Another way to say we are dividing by 3 each time is to say we are multiplying by factors of 1/3.

If the first term is $a$ and $r$ is the common ratio then the geometric sequence in explicit form is:

$a_n=a(r)^{n-1}$

$g_n=3(\frac{1}{3})^{n-1}$

The recursive form for a geometric sequence is $a_n=ra_{n-1}$ with $a_1=a$ where $r$ is the common ratio and $a$ is the first term.

So the recursive form for our sequence is $g_n=\frac{1}{3}g_{n-1}$ with $g_1=3$ .

6 0

2 years ago

Use dimensions analysis 5m=____yd

tangare [24]

5meters = 5.4681 yards

6 0

2 years ago