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3 years ago

14

The Student Council is making 6 pennants to promote school spirit. Each pennant is in the shape of a right triangle 20 cm high a

nd 60 cm long. What is the total area of the 6 pennants?

1 answer:

hodyreva [135]3 years ago

3 0

7200
You have to multiply 20×60 to get 1200 which is the area of one pennant multiply that by six and you get 7200 which is the area of six pennant

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The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 3 percent

Leona [35]

Answer: 709

Step-by-step explanation:

The formulas we use to find the required sample size :-

1. $n=(\dfrac{z^*\cdot \sigma}{E})^2$

, where $\sigma$ = population standard deviation,

E = Margin of error .

z* = Critical value

2. $n=p(1-p)(\dfrac{z^*}{E})^2$ , where p= prior estimate of population proportion.

3. If prior estimate of population proportion is unavailable , then we take p= 0.5 and the formula becomes

$n=0.25(\dfrac{z^*}{E})^2$

Given : Margin of error : E= 3% =0.03

Critical value for 95% confidence interval = z*= 1.96

A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21%.

i.e. p=0.21

Then by formula 2., the required sample size will be :

$n=0.21(1-0.21)(\dfrac{1.96}{0.03})^2$

$n=0.21(0.79)(65.3333)^2$

$n=(0.1659)(4268.44008889)\\\\ n=708.134933333\approx709$ [Round to the next integer.]

Hence, the required sample size of junior executives should be studied = 709

4 0

3 years ago

Which would you use to compare 10 / 12 and 2 / 5 a common numerator or common denominator?

BartSMP [9]

We can compare 2 fractions by means of the cross multiplication method. In our case, we have

since 50 is greater than 24 then 10/12 is greater than 2/5:

$\frac{10}{12}>\frac{2}{5}$

3 0

11 months ago

A store sold 70 hammers and ranchers Hammer sold for $10 each in French so for five dollars each a total of 600.00 what's the co

MrMuchimi

Answer:

50 hammers and 20 wrenches.

Step-by-step explanation:

Let x represent number of hammers and y represent number of ranchers.

We have been given that a store sold 70 hammers and ranchers. We can represent this information in an equation as:

$x+y=70...(1)$

We are also told that each hammer sold for $10 and each rancher sold for five dollars resulting a total of 600.00. We can represent this information in an equation as:

$10x+5y=600...(2)$

From equation (1), we will get:

$x=70-y$

Substituting this value in equation (2), we will get:

$700-10y+5y=600$

$700-5y=600$

$700-700-5y=600-700$

$-5y=-100$

$\frac{-5y}{-5}=\frac{-100}{-5}$

$y=20$

Therefore, 20 wrenches were sold.

Now, we will substitute $y=20$ in equation (1) as:

$x+20=70$

$x+20-20=70-20$

$x=50$

Therefore, 50 hammers were sold.

5 0

3 years ago

‼️10 points‼️

Tamiku [17]

Answer:

<h3>The answer is option D.</h3>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Slope of the line using points ( 5 , - 1) and

( - 5 , 2) is

m = 2+1/ -5-5 = - 3 / 10

Equation of the line using point ( 5 , - 1) is

y + 1 = -3/10(x - 5)

y = -3/10x + 3/2 - 1

The final answer is

<h3>y = - 3/10x + 1/2</h3>

Hope this helps you.

4 0

3 years ago

A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

so

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

3 0

3 years ago