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BabaBlast [244]
2 years ago
13

Students in three levels of art classes participated in the regional art competition. The two-way table below shows the number o

f pieces entered that were created using different media along with the level of the students who submitted the piece.
Paint Clay Pastels Digital Total
Art 1 43 22 26 12 103
Art 2 34 37 14 24 109
Art 3 22 20 18 28 88
Total 99 79 58 64 300

Order the relative frequencies from least to greatest.

Tiles
the percentage of
clay pieces entered
by Art 3 studentsthe percentage of
all entries that were
painted by
Art 1 studentsthe percentage of
Art 2 students who
entered digital pieces
Sequence
,
,
Mathematics
2 answers:
irinina [24]2 years ago
3 0
The relative frequencies, from least to greatest, would be:

The percentage of all entries painted by Art 1 students (14.33%), the percentage of Art 2 entries that were digital (22.02%), and the percentage of clay entries done by Art 3 students (25.32%).

Explanation
The percentage of clay entries done by Art 3 students:  There are 20 clay entries done by Art 3 students, out of 79 clay entries; 20/79 = 25.32%

The percentage of all entries painted by Art 1 students:  There are 43 entries painted by Art 1 students out of 300 total; 43/300 = 14.33%

The percentage of Art 2 entries that are digital:  There are 24 Art 2 digital entries out of 109 total Art 2 entries; 24/109 = 22.02%
ivolga24 [154]2 years ago
3 0

Answer:

From left to right:  Art 1, Art 2, Art 3

Step-by-step explanation:

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A company wants to determine if its employees have any preference among 5 different health plans which it offers to them. A samp
Vinil7 [7]

Answer:

a) 13.277

Step-by-step explanation:

The chi-square critical value can be assessed using chi-square area table and for this table need value of alpha and degree of freedom.

The value of alpha is given which is 0.01 and degree of freedom can be calculated as

df=k-1

Where k represent the categories which are 5 in the given case.

df=5-1=4.

For alpha=0.01 and df=4, we get the chi-square critical value 13.277.

5 0
2 years ago
Mike has coffee worth $4 per pound that he wishes to mix with 20 pounds of coffee worth $7 per pound to get a mixture that can b
Alinara [238K]
\bf \begin{array}{lccclll}
&\stackrel{lbs}{amount}&\stackrel{per~lb}{price}&\stackrel{amount}{price}\\
&------&------&------\\
\textit{\$4/lb coffee}&x&4&4x\\
\textit{\$7/lb coffee}&20&7&140\\
------&------&------&------\\
mixture&y&5&5y
\end{array}

so, we know the mixture is the sum of both types of coffee, thus x + 20 = y, and 4x + 140 = 5y.

\bf \begin{cases}
x+20=\boxed{y}\\
4x+140=5y\\
----------\\
4x+140=5\left( \boxed{x+20} \right)
\end{cases}
\\\\\\
4x+140=5x+100\implies 140-100=5x-4x\implies 40=x
5 0
1 year ago
Mrs. Matthews wants to have $18,000 in the bank in 2 years. If she deposits $9000 today at 6% compounded quarterly for 2 years,
OverLord2011 [107]
Depends if you want
1. find how much he will earn, find the differnce between that and 18000
2. see how much to invest till he will  get 18000


A=P(1+ \frac{r}{n})^{nt}

A=futre amount
P=present amout
r=rate in decimal
n=number of times per year ccompounded
t=time in years


1.
A=?
P=9000
r=0.06
n=4 (quarter means 4 times per year)
t=2
?=9000(1+ \frac{0.06}{4})^{(4)(2)}
?=9000(1+ 0.015)^{8}
?=9000(1.015)^{8}
?=10138.4 will be earned
18000-10138.4=7861.6 needed

2.
A=18000
P=9000+x
r=0.06
n=4 (quarter means 4 times per year)
t=2
18000=(9000+x)(1+ \frac{0.06}{4})^{(4)(2)}
18000=(9000+x)(1+ 0.015)^{8}
18000=(9000+x)(1.015)^{8}
divide both sides by 1.015^8
15978.8=9000+x
minus 9000 both sides
6978.8 needed




if he willnot be investing any more, he needs $7861.6 more
if he will invest more he will need to invest $6978.8 more




6 0
1 year ago
Read 2 more answers
A recipe calls for One-fourth cup of broth. The largest volume-measuring tool that Tabitha has is a teaspoon. She knows that the
djverab [1.8K]

<u>Answer:</u>

Tabitha will use 12 teaspoons.

<u>Explanation: </u>

According to the question, Tabitha has a largest volume-measuring tool teaspoon, and she wants to use one-fourth cup of broth.

Given that 1 cup consists of 16 tablespoons and 1 tablespoon has 3 teaspoons.

From the data, we can calculate that;

16 tablespoons will be equal to (3*16) = 48 teaspoons.

Therefore, 1 cup = 48 teaspoons.

Substituting the data and we can calculate that 1/4 cup = 48/4 = 12 teaspoons.

5 0
1 year ago
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$7.50dollar sig
BigorU [14]

Answer:

Step-by-step explanation:

Delivery fee = $7.50

Price per pizza = $14

Planned amount = $60

7.50 + 14p < 60

Subtract 7.50 from both sides

14p < 60 - 7.50

14p < 52.50

Divide both sides by 14

p < 52.50 / 14

p < 3.75

Each pizza is cut into 8 slices

Total slices she can afford = 3.75 × 8

= 30 slices

5 0
1 year ago
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