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Alenkasestr [34]
3 years ago
14

A rectangle measures 12cm by 4cm. What is its area?

Mathematics
1 answer:
Rudik [331]3 years ago
7 0

Answer:

48 is the area.

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Compare using &gt;, &lt;, or =.<br><br> 4 minutes_240 seconds
igor_vitrenko [27]

Answer:=

Step-by-step explanation:

4×60=240

4 0
3 years ago
Twenty-five subtracted from one-half a number is 10.What is the number?
pochemuha

Answer:

70

Step-by-step explanation:

The simplest way to find the number is work backwards. If you know the final answer is 10, start with 10 and make the number x. Then set up the original equation.

0.5x-25=10

Then start working backwards(isolate).

0.5x-25=10

      +25  +25

in other words, 10+25=0.5x. (the 25 cancels out because -25+25=0)

10+25=35, so 35=0.5x.

Now, instead of dividing by 2, multiply by 2(opposite again).

35=0.5x

/0.5(aka *2)     /0.5(cancels out)

now you are left with 70=x, so the number is 70.

6 0
3 years ago
The bird population on an island is declining at a rate of 2.2% per year. If the population was 3500 in the year 2009, which is
Vinil7 [7]
Given:
2009 : 3,500 population
decrease of 2.2% per year. 
100% - 2.2% = 97.8%

2014 - 2009 = 5 years

3,500 * (0.978)^5 = 3,500 * 0.89473 = 3131.57

The bird population in 2014 will be 3,131.57 or 3,132.
7 0
3 years ago
Read 2 more answers
PLEASE HELP!!!<br><br> What is the solution set for 10 - 4x &lt; -22?
Tom [10]

Answer:

x > 8

Step-by-step explanation:

Solve for x to find the solution.

10 - 4x < -22

Subtract 10 from both sides.

-4x < -32

Divide both sides by -4. Flip the sign when dividing by negative.

x > 8.

7 0
3 years ago
Read 2 more answers
You want to test if more than 20% of homes in a neighborhood have recently been sold through a short sale, at a foreclosure auct
Elodia [21]

Answer:

We need to conduct a hypothesis in order to test the claim that  more than 20% of homes in a neighborhood have recently been sold through a short sale, at a foreclosure auction, or by the bank following an unsuccessful foreclosure auction, so then the correct system of hypothesis are:

Null hypothesis:p \leq 0.2  

Alternative hypothesis:p > 0.2  

Step-by-step explanation:

Data given and notation

n=60 represent the random sample taken

X=14 represent the neighborhood that  have recently been sold through a short sale, at a foreclosure auction, or by the bank following an unsuccessful foreclosure auction

\hat p=\frac{14}{60}=0.233 estimated proportion of neighborhood that  have recently been sold through a short sale, at a foreclosure auction, or by the bank following an unsuccessful foreclosure auction

p_o=0.2 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that  more than 20% of homes in a neighborhood have recently been sold through a short sale, at a foreclosure auction, or by the bank following an unsuccessful foreclosure auction, so then the correct system of hypothesis are:

Null hypothesis:p \leq 0.2  

Alternative hypothesis:p > 0.2  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

8 0
4 years ago
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