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3 years ago

2. Stephen Curry's record during the 2017 – 2018 NBA final game is made up of 2-point shots and 3-points.

Mathematics

1 answer:

stiks02 [169]3 years ago

3 0

Answer:

He made 7 3-point shots.

Step-by-step explanation:

x+y=19

2x+3y=45

y=19-x

2x+3*(19-x)=45

2x+57-3x=45

-x=45-57

-x=-12

x=12

y=19-12

y =7

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A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then

Ivan

Complete question is;

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes.

a. What equation can you use to find the distance of the flowerbed from the hive?

b. How far is the flowerbed from the hive?

Answer:

A) (d/9) + 900 + (d/6) = 1080

B) d = 648 ft

Step-by-step explanation:

A) We are told that A bee flies at 9 feet per second directly to a flower bed from its hive.

Time taken is given as;

t = distance/speed

If distance is d from the hive to the flower bird.

Then, t1 = d/9

The bee stays at the flowerbed for 15 minutes. Thus, time spent at the flowerbird in seconds is; t2 = 15 × 60 = 900 seconds.

We are told that the bee flew directly back to the hive at 6 feet per second.

Thus,time is;

t3 = d/6

Since total time spent away from hive is 18 minutes, then converting to seconds, we have; t = 18 × 60 = 1080 s

Thus;

(d/9) + 900 + (d/6) = 1080

B) Since we have derived;

(d/9) + 900 + (d/6) = 1080

Then we can find d.

Multiply through by 18 to get;

2d + (900 × 18) + 3d = 1080 × 18

2d + 16200 + 3d = 19440

5d = 19440 - 16200

5d = 3240

d = 3240/5

d = 648 ft

4 0

3 years ago

An ABC News poll asked adults whether they felt genetically modified food was safe to eat. 35% felt it was safe, 52% felt it was

Masteriza [31]

Answer:

The proportions differ from those reported in the survey.

Step-by-step explanation:

The Chi-square goodness of fit test would be used to determine whether the proportions differ from those reported in the survey.

The hypothesis for the test can be defined as follows:

H₀: The proportions does not differ from those reported in the survey.

Hₐ: The proportions differ from those reported in the survey.

Assume that the significance level of the test is, α = 0.01.

The Chi-square test statistic is given by:

$\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}$

Consider the Excel sheet provided.

The Chi-square test statistic value is 191.32.

The p-value of the test is:

$p-value=P(\chi^{2}_{(n-1)}>191.32)\\\\=\text{CHISQ.DIST.RT}(191.32,2)\\\\=0.0000$

The p-value of the test is very small. The null hypothesis will be rejected at 1% level of significance.

Thus, concluding that the proportions differ from those reported in the survey.

5 0

3 years ago

18. Solve the equation. m- 10/3 - 5m-9/7 = 1

JulijaS [17]

The answer is m = -59/42

Step by step explanation is in the image below.

4 0

3 years ago

What is the value of (-7 + 31) – (2 - 6/)?

makkiz [27]

Answer:

Step-by-step explanation:

8 0

3 years ago

Overview

Alisiya [41]

Answer:

125.4

Step-by-step explanation:

Given

$Number = 125.3546$

Required

Round to 1 decimal place

Up till the first decimal place, the number is:

$Number = 125.3$

The digit after .3 is 5

The conditions for approximation are:

If n > 4, approximate to 1

Else: approximate to 0

In this case: 5 > 4, so we approximate to 1

Add this "1" to the last digit of 125.3. This becomes 125.4

Hence: when the number is approximated to 1 decimal place, the digit is 125.4

7 0

2 years ago