X= 0,3,4,6 Y= -8,-2,0,4

A medical researcher says that less than 87â€‹% of adults in a certain country think that healthy children should be required to

Lyrx [107]

Answer: It is not enough evidence to support the researcher's claim.

Step-by-step explanation:

Since we have given that

n = 500

$\hat{p}=0.85$

So, the hypothesis are as follows:

$H_0:\hat{p}$

So, the z value would be

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.85-0.87}{\sqrt{\dfrac{0.87\times 0.13}{500}}}\\\\z=\dfrac{-0.02}{0.015}\\\\z=-1.33$

At α = 0.05

z= -1.64

So, 1.64<-1.33

So, we accept the null hypothesis.

Hence, it is not enough evidence to support the researcher's claim.

3 0

3 years ago

HELp meh with this question it very hard

Dovator [93]

Answer:

AB = 7 cm

Step-by-step explanation:

Use the law of cosines to find the side AB:

$AB = \sqrt{(x + 3)^2+x^2-2x(x+3)cos (60)} =$
$\sqrt{x^2+6x+9+x^2-x^2-3x} = \sqrt{x^2+3x+9}$

Use the Heron's area formula next:

$A = \sqrt{s(s - a)(s-b)(s-c)}$ , where s- semi perimeter

s = 1/2[x + x + 3 + $\sqrt{x^2+3x+9}$ ) = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ )
s - a = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ - 2x - 6) = 1/2 ( $\sqrt{x^2+3x+9 }$ - 3)
s - b = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ - 2x) = 1/2 ( $\sqrt{x^2+3x+9}$ + 3)
s - c = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ - 2 $\sqrt{x^2+3x+9}$ ) = 1/2 (2x + 3 - $\sqrt{x^2+3x+9}$ )

Now

(s - a)(s - b) = 1/4 [(x²+3x+9) - 9] = 1/4 (x² + 3x)
s(s - c) = 1/4 [(2x + 3)² - (x² + 3x + 9)] = 1/4 (3x²+ 9x) = 3/4(x² + 3x)

Next

A² = 3/16(x² + 3x)(x² + 3x)
300 = 3/16(x² + 3x)²
1600 = (x² + 3x)²
x² + 3x = 40

Substitute this into the first equation:

$AB = \sqrt{40 + 9} = 7 cm$

4 0

3 years ago

A function h(x) is defined by the formula h(x)=x^3-3. What is the value of g(h(2))?

Sauron [17]

Answer:

g(h(2))= 5

Step-by-step explanation:

h(x)=x^3-3

g(2^3-3)

the 2 replaces the x

simplify

g(5)

7 0

3 years ago

If the 9th term of an ap is 1/7 and the 7th term os 1/9 find the 63rd term

Mnenie [13.5K]

Answer:

$a_{63}$ = 1

Step-by-step explanation:

The n th term of an arithmetic progression is

$a_{n}$ = a + (n - 1)d

where a is the first term and d the common difference

use the 9 th term and 7 th term to find a and d

$a_{9}$ = a + 8d = $\frac{1}{7}$ → (1)

$a_{7}$ = a + 6d = $\frac{1}{9}$ → (2)

Subtract (2) from (1) term by term

2d = $\frac{2}{63}$ ⇒ d = $\frac{1}{63}$

Substitute this value into (2) and solve for a

a + $\frac{6}{63}$ = $\frac{1}{9}$

a = $\frac{1}{9}$ - $\frac{6}{63}$ = $\frac{1}{63}$

Hence

$a_{63}$ = $\frac{1}{63}$ + $\frac{62}{63}$ = 1

5 0

3 years ago

BRAINLIEST

Dima020 [189]

Answer:

1. 2.9

2. 51 inches

3. (if you can send a picture of the question, I can tell you an answer.

Step-by-step explanation:

for number 1:

You have to add the scores on the left and divide it by the total. What I did was multiply each number on the right with it's pair and added it up. I got 111. Afterwards, I totalled the number of students (I got 38) and divided the scores by the number of students to get 2.9.

for number 2:

You do the same thing as number one but instead of multiplying pairs, you add the heights. I got 255 and then divided it by 5 total heights. I got 51 inches.

for number 3: I didn't get the graph to tell you the answer but I can tell you what everything means.

Symmetric means that both sides of the graph are equal and if you fold the graph in half horizontally, you should get the same shape.

Gaps are where you see blanks in the graph where the data gets cut off and then has stats again.

Cluster is when a huge amount of data is gathered in one area.

Peak is where the data (x-axis) reaches it's highest point (highest y-axis point).

Good luck and please give me Brainliest if you liked my answer!

6 0

3 years ago