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kramer
3 years ago
13

1. A 15 feet tree casts a shadow that is 8 feet long. What is the distance from the tip of the tree to the tip of its

Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Answer:

the answer is 17 feet

Step-by-step explanation:

you have to use the pythagorean theorem.

a^{2} + b^{2} = c^{2}

for a is 15 and b is 8

15^{2} + 8^{2} = 289

289 = c\^{2}

\sqrt{289} = 17

therefore, the distance is 17 feet.

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Soft drink consumption in New Zealand. A survey commissioned by the Southern Cross Healthcare Group reported that 16% of New Zea
lidiya [134]
<h2>Answer with explanation:</h2>

Given : The proportion of New Zealanders consume five or more servings of soft drinks per week :\hat{p}= 0.16

a) The number of survey respondents reported that they consume five or more servings of soft drinks per week = 2006

b) Confidence interval for population proportion (p) :

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} = Sample proportion.

n= Sample size.

z* = Critical value.

For n= 2006 , \hat{p}= 0.16 and critical value for 95% confidence interval : z* = 1.96

Then , the required confidence interval will be :

0.16\pm (1.96)\sqrt{\dfrac{ 0.16(1- 0.16)}{2006}}

0.16\pm (1.96)\sqrt{ 0.000066999002991}

0.16\pm (1.96)(0.00818529186963)

0.16\pm 0.0160431720645

(0.16-0.0160431720645,\ 0.16+0.0160431720645)

(0.143956827935,\ 0.176043172064)\approx(0.144,\ 0.176)

i.e. A 95% confidence interval for the proportion of New Zealanders who report that they consume five or more servings of soft drinks per week. = (0.144,\ 0.176)

c) (0.144,\ 0.176)=(0.144\times100\%,\ 0.176\times100\%)

=(14.4\%,\ 17.6\%)176\times100\%)[/tex]

d) The estimate might be biased because the survey is taken online that means offline New Zealanders are out of consideration.

6 0
3 years ago
Find the surface area of a cylinder with a diameter of 4 cm, and a height of
4vir4ik [10]

Answer:

125.66

Step-by-step explanation:

3 0
3 years ago
Find the value of x plsss
mafiozo [28]

Answer:

x=10.8

Step-by-step explanation:

9²+6²=c²

81+36=c²

117=c²

√117=10.81

x=10.81

3 0
3 years ago
If someone worked 10 :00 to 1:00 how many hours would they have worked
nirvana33 [79]
10 to 11 = 1 hr
11 to 12 = 1 hr
12 to 1 = 1 hr

total  = 3 hours
7 0
3 years ago
Read 2 more answers
Please help!!!! the question is in screenshot
andreev551 [17]

Answer:

-\cos nw_0t

Step-by-step explanation:

We can use the double angle identity for sine.

\sin (A+B)=\sin A \cos B+\sin B\cos A

The given expresion is

\sin (nw_0t-90)

We apply the identity to get:

\sin (nw_0t-90)=\sin nw_0t \cos 90-\cos nw_0t \sin 90

We simplify to obtain;

\sin (nw_0t-90)=\sin nw_0t (0)-\cos nw_0t (1)

This simplifies to:

\sin (nw_0t-90)=-\cos nw_0t The correct answer is D

8 0
3 years ago
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