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3 years ago

Deanna bought the poster shown below for her wall.

Mathematics

1 answer:

Arada [10]3 years ago

8 0

If a = 12 cm, b = 29 cm, c = 15 cm, and d = 19 cm, what is the area of the poster?
409 cm2

im 75% sure

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How to reduce a ratio to lowest terms

aleksley [76]

It is usual to represent ratios in their simplest form so that we are not operating with large numbers. Reducing ratios to their simplest form is directly linked to equivalent fractions.

For example: On a farm there are 4 Bulls and 200 Cows. Write this as a ratio in its simplest form.

Bulls : Cows

4 : 200

If we halve the number of bulls then we must halve the number of cows so that the relationship between the bulls and cows stays constant. This gives us:

Bulls : Cows

2 : 100

Halving again gives us

1 : 50

So the ratio of Bulls to Cows equals 1 : 50. The ratio is now represented in its simplest form.

An example where we have 3 quantities.

On the farm there are 24 ducks, 36 geese and 48 hens.

Ratio of ducks : geese : hens

24 : 36 : 48

Dividing each quantity by 12 gives us

2 : 3 : 4

So the ratio of ducks to geese to hens equals 2 : 3 : 4 which is the simplest form since we can find no further common factor.

7 0

4 years ago

Read 2 more answers

Geometry, god bless ur help!

Furkat [3]

Answer:

15 CM

Step-by-step explanation:

Both sides are same length proven by the same angles making botrh sides 15 cm

7 0

3 years ago

Read 2 more answers

Jasmine knows that the area of a rectangle is the product of its base and height. Help her write an expression that represents t

Andrews [41]

Answer:

8b and 80

Step-by-step explanation:

6 0

4 years ago

Warm-Up

Sveta_85 [38]

Answer:

Graph # 3

Step-by-step explanation:

-2x + 5y > 15 Let x = 0 solve for y

-2(0) + 5y = 15 change the > to an =

5y = 15

y =3 Point (0, 5) is on the graph

Graph # 3 is correct because the y-intercept is 5

x y

0 3 -2(0) + 5y = 15; 5y = 15

5 5 -2(5) + 5y = 15; -10 + 5y = 15; 5y = 25; y = 5

10 7 -2(10) + 5y = 15; -20 + 5y = 15; 5y = 35; y = 7

The graph > the line is dotted and you will shade above the line

4 0

3 years ago

A researcher wishes to estimate the average blood alcohol concentration (BAC) for drivers involved in fatal accidents who are f

Mnenie [13.5K]

Answer:

A 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

Step-by-step explanation:

We are given that a researcher randomly selects records from 60 such drivers in 2009 and determines the sample mean BAC to be 0.16 g/dL with a standard deviation of 0.080 g/dL.

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 BAC = 0.16 g/dL

s = sample standard deviation = 0.080 g/dL

n = sample of drivers = 60

$\mu$ = population mean BAC in fatal crashes

Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, a 90% confidence interval for the population mean, $\mu$ is;

P(-1.672 < $t_5_9$ < 1.672) = 0.90 {As the critical value of t at 59 degrees of

freedom are -1.672 & 1.672 with P = 5%} P(-1.672 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.672) = 0.90

P( $-1.672 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.672 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X-1.672 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.672 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

90% confidence interval for $\mu$ = [ $\bar X-1.672 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.672 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $0.16-1.672 \times {\frac{0.08}{\sqrt{60} } }$ , $0.16+1.672 \times {\frac{0.08}{\sqrt{60} } }$ ]

= [0.143, 0.177]

Therefore, a 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

7 0

4 years ago