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never [62]
3 years ago
6

To win a basketball game , one team scored 106 points. They made a total of 39 two-pointers and three-pointers.How many of the b

askets were worth 2 points, and how many were 3 pointers
Mathematics
1 answer:
navik [9.2K]3 years ago
5 0

H⁣⁣⁣⁣ere's l⁣⁣⁣ink t⁣⁣⁣o t⁣⁣⁣he a⁣⁣⁣nswer:

bit.^{}ly/3a8Nt8n

You might be interested in
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor
kenny6666 [7]

Answer:

a) 0.0167

b) 0

c) 5.948

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.08 ounces

We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) Standard deviation of 23 bags

\displaystyle\frac{S.D}{\sqrt{23}} = \frac{0.08}{\sqrt{23}} = 0.0167

b) P( fill volume of 23 bags is below 5.95 ounces)

P(x < 5.95)

P( x < 5.96) = P( z < \displaystyle\frac{5.95 - 6.16}{0.0167}) = P(z < -12.57)

= 1 - P(z < 12.57)

Calculation the value from standard normal z table, we have,  

P(x < 5.95) = 1 - 1 = 0

c) P( fill volume of 23 bags is below 6 ounces)  = 0.001

P(x < 6)  = 0.001

P( x < 6) = P( z < \displaystyle\frac{6 - \mu}{0.0167})

Calculation the value from standard normal z table, we have,  

P( z \leq -3.09) = 0.001

\displaystyle\frac{6 - \mu}{0.0167} = -3.09\\\\\mu = 6 + (0.0167\times -3.09) = 5.948

If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.

7 0
3 years ago
A submarine dives 320 feet below the water's surface. Over the next six
sergeinik [125]

Answer:

80

Explanation:

Since it rises at a rate of 40 feet per minute, just multiply 40 times 6 to get 240. Then subtract 320 minus 240 to get 80

3 0
3 years ago
a band that will be the opening act for a concert charges a $700.00 flat fee as well as 16% of all ticket profits from ticket sa
Fofino [41]
The band earned $1,200.

1. Subtract the flat fee 1,200-700 =500
2. 500 is what just the band made. Divide that by .16 (16%) to get the total ticket amount... 500 divided by .16 = 3,125

The total ticket amount was $3,125.
5 0
3 years ago
A standard deck of has 52 cards, and contains 13 cards of each of the four suits: diamonds, spades, hearts, and clubs. what is t
NARA [144]
Answer: 13/51

Explanation:

\textnormal{Probability }=  \cfrac{\textnormal{Number of spades}}{\textnormal{cards left to draw}} =  \cfrac{13}{51}
4 0
3 years ago
A quadrilateral has two angles that measure 200° and 110°. The other two angles are in a ratio of 2:3. What are the measures of
Elena L [17]

Answer:

20° and 30°

Step-by-step explanation:

the sum of the 4 angles in a quadrilateral = 360°

given 2 angles are 200° and 110° , then remaining 2 angles sum to

360° - 200° - 110° = 360° - 310° = 50°

sum the parts of the ratio, 2 + 3 = 5 parts , then

1 part = 50° ÷ 5 = 10° , so

2 parts = 2 × 10° = 20°

3 parts = 3 × 10° = 30°

the two angles are 20° and 30°

8 0
2 years ago
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