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2 years ago

What is the value of x?

Mathematics

1 answer:

beks73 [17]2 years ago

5 0

The value is 40. A right angle is 90 degrees. 90 -10 is 80. Since it says 2x you want to divide 80 by 2 which gives you a value of 40.

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A map of a city uses a scale of 1cm =3.5 meters. If a road shown on the maps runs for 25cm how long is the road?

choli [55]

Answer: 87.5

Step-by-step explanation: 1cm x 25cm = 87.5

5 0

2 years ago

Read 2 more answers

12. If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that th

atroni [7]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

We have the following info given:

$Confidence= 0.95$ the confidence level desired

$ME =0.03$ represent the margin of error desired

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

The confidence level is 95% or 0.95, the significance is $\alpha=0.05$ and the critical value for this case using the normal standard distribution would be $z_{\alpha/2}=1.96$

Since we don't have prior information we can use $\hat p= 0.5$ as an unbiased estimator

Also we know that $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

6 0

3 years ago

Write an equation of the line with the given slope and y-intercept: m = negative 5, b = 4

NeTakaya

Answer: y= -5x+4

Step-by-step explanation:

6 0

3 years ago

Convert 7.5 to a decimal

julsineya [31]

7.5 is already in decimal form.

3 0

3 years ago

I = Prt

Olegator [25]

Answer:

$r=3.5\%$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=5\ years\\ P=\$1,200\\ I=\$210\\r=?$

substitute in the formula above

$210=1,200(5r)$

solve for r

$r=210/6,000$

$r=0.035$

convert to percentage (multiply by 100)

$r=3.5\%$

6 0

2 years ago