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2 years ago

5. 4

Mathematics

1 answer:

matrenka [14]2 years ago

6 0

Answer:

x=1......................

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20 POINTS Which situation shows the constant rate of change

IceJOKER [234]

The answer is A(jsjsjjsusudidjdidj)

5 0

3 years ago

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

Which equation correctly applies the distributive property?

lesantik [10]

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Distributive law is defined as

$a\times (b+c+d)=a\times b+a\times c+a\times d$

According to option'A', we get that

a =- 3

b = 6

c = 0.4

d = 0.08

So, it becomes,

$-3\times (6.48)=-3\times 6+(-3)\times 0.4+(-3)\times 0.08$

Hence, option 'A' is correct.

8 0

3 years ago

ABC is an isosceles triangle in which ab and ac are equal if d is a the midpoint of BC prove that ABD=ADC

jeka94

Answer:

Step-by-step explanation:

Given that,

ABC is an Isosceles triangle.

In an Isosceles triangle the opposite sides ( AB =AC) are equal; Their base angles ( < ABD = < ACD) are also equal to each other.

It is als given that D is the mid point of BC.

i.e., BD = CD

Therefore,

By SAS theorem of congruency of triangles,

ABD = ACD

If this is the answer required, hope it helps...

4 0

3 years ago

Round 981,657 to the nearest ten thousand

MaRussiya [10]

981,657 = 980,000 to the nearest ten thousand

Hope it helps

5 0

3 years ago