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natta225 [31]
3 years ago
11

Can someone please help me with this

Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0
It depends on the original size.
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Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
BaLLatris [955]
<h2>Answer with explanation:</h2>

Let p be the population proportion  of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

Given : Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

Set hypothesis to test :

H_0: p=0.39\\\\H_a :p\neq0.39

Sample size : n= 1055

Sample proportion : \hat{p}=\dfrac{466}{1055}=0.441706161137\approx0.44

Critical value for 95% confidence : z_{\alpha/2}=1.96

Confidence interval : \hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

0.44\pm (1.96)\sqrt{\dfrac{0.39(1-0.39)}{1055}}\\\\0.44\pm0.0299536805135\\\\0.44\pm0.03\\\\=(0.44-0.03, 0.44+0.03)\\\\=(0.41,\ 0.47)

Since , Confidence interval does not contain 0.39.

It means we reject the null hypothesis.

We conclude that 95​% confidence interval represents evidence that​ parents' attitudes toward the quality of education have changed.

8 0
3 years ago
AC =<br> Round your answer to the nearest hundredth.<br> 5<br> ?<br> 35<br> B
Bingel [31]

Answer:2.87

Step-by-step explanation:sin =opp/hyp

Sin 35=ac/5

Cross multiply

Sin 35 x 5 = ac

0.5736 x 5 =ac

2.868=ac

Ac=2.87

3 0
3 years ago
What is the simplest multicellular organism?
grigory [225]
The simplest multicecullar organism is alga
7 0
3 years ago
The graph shows the dilation of quadrilateral MNOP with the origin as its center. Which rule describes this transformation?
lana66690 [7]

Answer:

D) (x, y) → (1/3x , 1/3 y)

Step-by-step explanation:

A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged.  If the dilation factor is smaller than 1, the figure is shrinked.  In both cases, the coordinates are MULTIPLIED by the dilation factor.

Among the 4 choices, only 2 are dilations.  One is with a dilation factor of 3 (A), which means the shape was enlarged.  And the other is with  dilation factor of 1/3, meaning the shape was shrinked.

Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.

Answers B and  C show a translation/movement of the shape, not a dilation.

8 0
3 years ago
If (x-1)/(x)=20 then x=
nadezda [96]
D:x\neq0\\\\\frac{x-1}{x}=20\ \ \ \ |cross\ multiply\\\\20x=x-1\ \ \ \ |subtract\ x\ from\ both\ sides\\\\19x=-1\ \ \ \ \ \ |divide\ both\ sides\ by\ 19\\\\\boxed{x=-\frac{1}{19}}

6 0
3 years ago
Read 2 more answers
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