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4 years ago

The length of each square on the grid represents 1 cm. The scale

Mathematics

1 answer:

tatyana61 [14]4 years ago

5 0

Answer:

Step-by-step explanation:

Length of the rectangle given in the the figure attached = 2 cm

Width of the rectangle = 5 cm

Scale used, 24 in to 1 cm

Therefore, length of actual rectangle = 2×24 = 48 in

width of the actual rectangle = 5×24 = 120 in

Now we have to draw a drawing by using the scale,

16 inches to 1 cm

Or 1 inch = $\frac{1}{16}$ cm

Therefore, length of the rectangle drawing = $48\times \frac{1}{16}$

= 3 cm

Similarly, width of the rectangle drawing = $120\times \frac{1}{16}$

= 7.5 cm

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Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle mai

Nina [5.8K]

Answer: 1692

Step-by-step explanation:

Formula to find the sample size :

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

Given : Confidence level : $(1-\alpha)=0.90$

⇒ significance level = $\alpha= 0.10$

z-value for 90% confidence interval (using z-table)= $z_{\alpha/2}=1.645$

Prior estimate of the population proportion (p) of customers who keep up with regular vehicle maintenance is unknown.

Let we take p= 0.5

Margin of error : E= 2%=0.02

Now, the required sample size will be :

$n=0.5(1-0.5)(\dfrac{1.645}{0.02})^2$

Simplify , we get

$n=(0.25)(6765.0625)=1691.265625\approx1692$

Hence, the required sample size = 1692

8 0

4 years ago

Read 2 more answers

PLZZZZ HELPPPPPP THIS IS TIMEDDDD!!!! *look at picture*

Kazeer [188]

Answer:

Height of the building = 50.8 ft

Step-by-step explanation:

A person and a building are casting the shadows at the same time of the day.

Triangles formed by the person and his shadow and the building and its shadow will be similar.

Therefore, corresponding sides of the similar triangles will be proportional.

$\frac{x}{28}=\frac{5.8}{3.2}$

x = $\frac{5.8\times 28}{3.2}$

x = 50.75

x ≈ 50.8 ft

5 0

3 years ago

Read 2 more answers

Graph 3x + 4y = -10

cricket20 [7]

First, isolate y on one side to find some information about the graph.

3x+4y=-10
4y=-10-3x
y=(-10-3x)/4

Now find out the x and y intercepts of this equation;

(0)=(-10-3x)/4
4x0=-10-3x
0=-10-3x
3x=-10
x=-10/3 or -3.3333 (x-intercept)

y=(-10-3(0))/4
4y=-10
y=-10/4 or -5/2 = -2.5 (y-intercept)

Plot these points onto your graph and connect the lines.

I have attached a graph below, I'm sorry I couldn't do it on paper.

Hope I helped :)

8 0

4 years ago

Given the function w (x) = 9x + 8, evaluate w (5) . Explain all steps.

masya89 [10]

Hi there!

$\large\boxed{w(5) = 53}$

Evalute by substituting in 5 for x:

w(5) = 9(5) + 8

Simplify:

w(5) = 45 + 8 = 53

7 0

3 years ago

Read 2 more answers

University dean is interested in determining the proportion of students who receive some sort offinancial aid. rather than exami

vladimir2022 [97]

The confidence interval is
$0.59\pm0.081$

We first find p, our sample proportion. 118/200 = 0.59.

Next we find the z-score associated with this level of confidence:
Convert 98% to a decimal: 98% = 98/100 = 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 2.33.

The margin of error (ME) is given by
$ME=z\sqrt{\frac{p(1-p)}{n}}
\\
\\=2.33\sqrt{\frac{0.59(1-0.59)}{200}}=2.33\sqrt{\frac{0.2419}{200}}\approx0.081$

This gives us the confidence interval
$0.59\pm0.081$

8 0

4 years ago