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2 years ago

Ez20 chaarecter long

Mathematics

1 answer:

Likurg_2 [28]2 years ago

5 0

Answer:

24 oz has the lowest cost per ounce.

Step-by-step explanation:

12 oz ---> $2.49

1 oz --> $2.49/12

1 oz --> $0.2075

14 oz --> $3.15

1 oz --> $3.15/14

1 oz --> $0.225

20 oz --> $5

1 oz --> $5/20

1 oz --> $0.25

24 oz --> $4.56

1 oz --> $4.56/24

1 oz --> $0.19 ..........this is the lowest cost per ounce

36 oz --> $7.2

1 oz --> $7.2/36

1 oz --> $0.2

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Of the 32 students in a class, 18 play the violin, 16 play the piano, and 7 play neither.

german

Answer:

(a)9

(b)I. 0.28125

II. 0.46875

III. 0.25

Step-by-step explanation:

There are a total of 32 students, therefore the number of elements in the Universal set, n(U)=32

$1$8 play the violin, n(V)=18\\16 play the piano, n(P)=16\\ 7 play neither, n(P \cup V)' =7$

(a)The Venn diagram is attached below.

$n(U)=n(V)+n(P)-n(V \cap P)+ n(P \cup V)'\\32=18+16+7-n(V \cap P)\\32=41-n(V \cap P)\\n(V \cap P)=41-32\\n(V \cap P)=9\\$

Therefore, 9 students play both the violin and piano.

(b)

I. Probability that the student plays the violin but not the piano

Number of Students who play violin only =18-x=18-9=9

$P(V \cap P') = \dfrac{n(V \cap P')}{n(U)}\\= \dfrac{9}{32}\\=0.28125$

ii.Probability that the student does not play the violin

Number of Students who does not play violin only =17-x+7=17-9+7=15

P(does not play violin only)

$= \dfrac{15}{32}\\=0.46875$

iii.Probability that the student plays the piano but not the violin

Number of Students who play piano only =17-x=17-9=8

$P(V' \cap P) = \dfrac{n(V' \cap P)}{n(U)}\\= \dfrac{8}{32}\\\\=0.25$

3 0

2 years ago

Now answer the question:

Viktor [21]

X=3
Y=5
0.30 x 5 = 1.5
1.50 x 3 = 4.5
1.5 + 4.5 = 6

5 0

1 year ago

Helppppppp me please

STALIN [3.7K]

Given:

In $\Delta QRS, \overline{QR}\cong \overline{SQ}$ and $m\angle Q=114^\circ$ .

To find:

The $m\angle S$ .

Solution:

In $\Delta QRS$ ,

$\overline{QR}\cong \overline{SQ}$

It means the triangle QRS is an isosceles triangle. We know that the base angles of an isosceles triangle are congruent and their measures are equal.

$\angle R\cong \angle S$ [Base angles of isosceles triangle QRS]

$m\angle R=m\angle S$ ...(i)

In $\Delta QRS$ ,

$m\angle Q+m\angle R+m\angle S=180^\circ$

$m\angle Q+m\angle S+m\angle S=180^\circ$ [Using (i)]

$114^\circ+2m\angle S=180^\circ$

$2m\angle S=180^\circ-114^\circ$

$2m\angle S=66^\circ$

Divide both sides by 2.

$m\angle S=\dfrac{66^\circ}{2}$

$m\angle S=33^\circ$

Therefore, the $m\angle S$ is 33 degrees.

6 0

3 years ago

Steven has a coin collection. He keeps 13 coins in a box, which is only 5% of his entire collection. What is the total number of

zhuklara [117]

Answer:

260

Step-by-step explanation:

5×20=100

So 13 × 20

because 5 percent of the collection is 13 so it is 260.

8 0

2 years ago

A triangle has angles that measure 46° and 61° what is the measure of the third angle

Brilliant_brown [7]

A triangle in total is 360<span>°. So you add what you are given

46 + 61 = 107

and subtract that from 360

360 - 170 = 190

And the remainder is the last unknown angle.

So, the third angle is 190</span><span>°</span>

8 0

2 years ago

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