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bija089 [108]
3 years ago
12

What is the area of this figure? 6 mi 5 mi 2 mi 2 mi 11 mi 9 mi ורן 7

Mathematics
1 answer:
Alborosie3 years ago
5 0
I can’t see the image maybe if you redo it
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Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation.
alisha [4.7K]
<h2>Answer with explanation:</h2>

Let p be the population proportion.

Then, Null hypothesis : H_0 : p=0.79

Alternative hypothesis : H_a : p>0.79

Since the alternative hypothesis is right tailed , then the hypothesis test is a right tailed test.

Given :  A random sample of 200 high school seniors from this city reveals that 162 plan to attend college.

i.e. n = 200 > 30 , so we use z-test (otherwise we use t-test.)

\hat{p}=\dfrac{162}{200}=0.81

Test statistic for population proportion :

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}

=\dfrac{0.81-0.79}{\sqrt{\dfrac{0.81(1-0.81)}{200}}}=0.720984093915\approx0.72

Thus, the z-value of the sample test-statistic = 0.72

P-value for right tailed test =P(z>0.72)=1-P(\leq0.72)

=1-0.7642375=0.2357625\approx0.2358

Since the p-value is greater than the significance level (0.05) , so we fail to reject the null hypothesis.

Hence, we conclude that we do not have sufficient evidence to support the claim that the percentage has increased from that of previous studies.

8 0
3 years ago
A patients IV bag contains 750mL. Four hours later, the IV bag contains 450mL.
Ivenika [448]
Answers:
a) 75ml/hr
b) 0ml left

Explanation:
a) 750ml - 450ml = 300ml (This is how much we know the bag drained within 4hrs)

300ml/4=75ml

so now we know the rate of drain is 75ml/hr

b) since rate is 75ml/hr:
75*6=450
450-450=0

Hence there will be no fluid left for the patient.
3 0
3 years ago
Given an equation in standard form solve for y and graph 3y+x=6
den301095 [7]

Answer:

y= -1/3+2

Step-by-step explanation:

3 0
2 years ago
Help mee answer the question
Helga [31]

..............................................

8 0
2 years ago
Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in. Find
mr Goodwill [35]

Answer:

The volume in such a package is 27648 in³

Step-by-step explanation:

Consider the provided information.

Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in.

Let the dimension are x by x by y.

Where x is the variable for the square base package and y is the variable for length.

Thus l=x, b=x and h=y

Then the volume of the box is: V(x)=x^2y (∵V=lbh)

The maximum combined length and girth is 144.

Therefore, 4x+y=144

y=144-4x

Substitute the value of y in volume of the box.

V(x)=x^2(144-4x)

V(x)=144x^2-4x^3

V'(x)=288x-12x^2

Substitute V'(x)=0.

0=288x-12x^2

12x(24-x)=0

x=0\ or\ x=24

Now apply second derivative test.

V''(x)=288-24x

V''(0)=288-24(0)>0 (Min)

V''(24)=288-24(24) (Max)

Hence, the maximum volume is at x=24

If x=24 then y=144-4(24)=48

Substituting value of x = 24 and y = 48 V(x)=x^2y gives 27648.

Hence, the volume in such a package is 27648 in³

5 0
3 years ago
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