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anygoal [31]
2 years ago
12

To gather information about the validity of a new standardized test for tenth-grade students in a particular state, a random sam

ple of 15 high schools was selected from the state. The new test was administered to every 10th-grade student in the selected high schools. What kind of sample is this? (a) A simple random sample (b) A stratified random sample (c) A cluster sample (d) A systematic random sample (e) A voluntary response sample
Mathematics
1 answer:
aleksklad [387]2 years ago
5 0

Answer:

(c) A cluster sample

Step-by-step explanation:

A cluster sample occurs when the intended population is divided into   non- overlapping sub -groups or clusters and some of these clusters are represented in the sample.

From the question, In a state 15 high schools where randomly selected and  the standardized test was administered to only 10th grade student. Here, the  high schools  are the non-overlapping sub groups that is randomly selected and a reasonable representation of the  entire subgroups.

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How does the area of triangle RST compare to the area of triangle LMN? The area of △RST is 2 square units less than the area of
sashaice [31]
Inscribe triangle RST in the square with dimensions 4×4, as shown in the figure. 

from the area of this square, 4*4=16, we remove the triangles with dimensions 
3×4, 2×1 and 2×4, whose side lengths are shown in the figure, and we are left with the area of triangle RST.


so Area(RTS)=16- \frac{1}{2}*3*4-  \frac{1}{2}*2*1-  \frac{1}{2}*2*4=16-6-1-4=5 units squared

similarly, 

Area(LMN)=4*3- \frac{1}{2}*1*4- \frac{1}{2}*2*2- \frac{1}{2}*2*3=12-2-2-3=5 units squared

Thus, the areas are equal.

8 0
2 years ago
Read 2 more answers
Which statements accurately describe the function f(x) = 3(16) Superscript three-fourths x? Select three options.
zzz [600]

Answer:

The initial value is 3.

The range is y greater than 0.

The simplified base is 8.

Step-by-step explanation:

The given function is f(x) = 3(16)^{\frac{3}{4}x } ......... (1)

Therefore, the initial value of the function at x = 0 is f(0) = 3(16)^{0} = 3  

Now, the domain can be any real value, since for all real value of x, y exists.

But, for no value of x the function has value < 0.

Therefore, y greater than 0 is the range of the function f(x).

Now, simplifying the equation (1) we will have  

f(x) = 3(16)^{\frac{3}{4}x } = 3(16^{\frac{3}{4} } )^{x} = 3(8)^{x}

Therefore, the simplified base is 8. (Answer)

7 0
2 years ago
Read 2 more answers
Peter is at a lumber yard. He gets 2 free boxes of nails for every 10 boards he buys. Write an expression for the number of boxe
Sati [7]
A. The number of 10-boards Peter bought is equal to n divided by 10. Then, each of the 10-boxes will get two boxes of nails. The number of boxes of nails that Peter will have after buying n boards will be,

    N = (2)(n/10)

Simplifying,

<em>   N = n/5</em>

b. If the number of boards are 90 then,

     N2 = (90/10)(2)(100 nails/box)
     N2 = 1800

Answer: 1800
7 0
2 years ago
Read 2 more answers
Lily sold 18 items at the street fair. She sold bracelets for $6 each and necklaces for $5 each for a total of $101. Which syste
vladimir2022 [97]

B + N = 18 and 6B + 5N = 101. This is the system of equations you would use.

7 0
2 years ago
ernesto tiene que enviar 4 encomiendas que tienen una masa del total de ocho decimos de kg. ¿que fraccion de kg. tiene cada una
Ber [7]

⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.

Y

¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden

para expresar el peso de cada uno de ellos, tenemos

la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:

8 kg/4 s

2 kg por encomiendaOfertamos la fracción que representa cada una en el total:

kg por encomienda/total de kg

2/8 x 1/4

6 0
2 years ago
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