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1 year ago

What is the measure of Angle y in this figure?

Mathematics

1 answer:

uranmaximum [27]1 year ago

3 0

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

Here, in the given figure. Angle y° forms vertical opposite angle pair with Angle 163°, therefore they have equal values.

that means ~

$\qquad \sf \dashrightarrow \: y \degree = 163 \degree$

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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

Is 226.08cm to the third power the correct response?

drek231 [11]

Surface Area of a cylinder 2(π•r²)+(2π•r)•h

So

If the diameter is 8 then the radius is 4. the height is 5.

so you have, 2(3.14•4²)+(2•3.14•4)•5

solve. PEMDAS
Parentheses & Exponents first.
2(3.14•16)+(2•3.14•4)•5
2(50.24)+(6.28•4)•5
2(50.24)+(25.12)•5
Multiplication & Division second (left to right)
100.48+125.6
Add & Subtract (left to right)
226.08cm

5 0

2 years ago

Will give brainliest-H(t)=-16t^2+28t

____ [38]

For this case we have the following equation:
H (t) = - 16t ^ 2 + 28t
When the dolphin finishes a jump, then the height is equal to zero.
We have then:
-16t ^ 2 + 28t = 0
We look for the roots of the polynomial:
t1 = 0
t2 = 1.75 s
Therefore, the dolphin takes 1.75 seconds to make a jump.
Answer:
it will take for the dolphin to make one jump about:
t = 1.75 s

4 0

2 years ago

Find the volume of the cone round your answer to the nearest tenth

shusha [124]

Answer= V=134.04

V=πr2h

6 0

2 years ago

An egg that has been falling for x seconds has dropped at an average speed of 16x feet per second. If the egg is dropped from th

ivanzaharov [21]

$average \: rate \: of \: fall = 16x \: feet \: per \: second \\ duration \: of \: fall \: (time) = x \: seconds \\ distance \: of \: fall = 16x \: feet \: per \: second \times x \: seconds \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =x(16x) \: feet \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 16 {x}^{2} \: feet \\ \: the \: egg \: traveled \: 16 {x}^{2} \: feet \: in \: x \: seconds.$

5 0

3 years ago