Four students working in a group are trying to find a rational number between

PLS PLS PLS HELP I WILL GIVE BRAINLIEST!!

Feliz [49]

Answer:

$-\frac{9}{11}$

Step-by-step explanation:

$-\frac{6}{11} + -\frac{3}{11} = -\frac{6}{11} - \frac{3}{11} = -\frac{6+3}{11} = -\frac{9}{11}$

7 0

4 years ago

"After 8 seconds, Cannon Man was 4.92 feet off the ground."

Vitek1552 [10]

Answer:

f(8) = 4.92

Step-by-step explanation:

x = 8 sec

y= 4.92 ft

3 0

2 years ago

What ratio correctly compares the measurements 24 months to 3 years? Drag and drop the appropriate numbers into the boxes to sho

Evgen [1.6K]

To determine the ratio that would perfectly illustrate the given above, we need to have these numbers such that they would have the same unit. It is to be noted that every year is composed of 12 months. Converting 24 months to years,

n = (24 months)(1 year/12 months) = 2 years

Hence, the ration should be 2 years is to 3 years which is equal to 2:3.

Answer: 2:3

3 0

3 years ago

Two alloys A and B are being used to manufacture a certain steel product. An experiment needs to be designed to compare the two

sveta [45]

Answer:

Step-by-step explanation:

From the given information, we can compute the table showing the summarized statistics of the two alloys A & B:

Alloy A Alloy B

Sample mean $\bar {x} _A = 49.5$ $\bar {x} _B = 45.5$

Equal standard deviation $\sigma_A = 5$ $\sigma_B= 5$

Sample size $n_A = 30$ $n_{B}= 30$

Mean of the sampling distribution is :

$\mu_{\bar{X_1}-\bar{X_2}}= 49.5-45.5 \\ \\ = 4.0$

Standard deviation of sampling distribution:

$\sigma_{\bar{x_1}-\bar{x_2} }= \sqrt{\sigma^2_{\bar{x_1}-\bar{x_2} }} \\ \\ = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma^2_2}{n_2} } \\ \\ =\sqrt{\dfrac{25}{30}+\dfrac{25}{30}} \\\\=\sqrt{1.667} \\ \\ =1.2909$

Hypothesis testing.

Null hypothesis: $H_o: \mu_A -\mu_B = 0$

Alternative hypothesis: $H_A:\mu_A -\mu_B > 4$

The required probability is:

$P(\overline X_A - \overline X_B>4|\mu_A - \mu_B) = P\Big (\dfrac{(\overline X_A - \overline X_B)-\mu_{X_A-X_B}}{\sigma_{\overline x_A -\overline x_B}} > \dfrac{4 - \mu_{X_A-\overline X_B}}{\sigma _{\overline x_A - \overline X_B}} \Big) \\ \\ = P \Big( z > \dfrac{4-0}{1.2909}\Big) \\ \\ = P(z \ge 3.10)\\ \\ = 1 - P(z < 3.10) \\ \\ \text{Using EXCEL Function:} \\ \\ = 1 - [NORMDIST(3.10)] \\ \\ = 1- 0.999032 \\ \\ 0.000968 \\ \\ \simeq 0.0010$

This implies that a minimal chance of probability shows that the difference of 4 is not likely, provided that the two population means are the same.

b)

Since the P-value is very small which is lower than any level of significance.

Then, we reject $H_o$ and conclude that there is enough evidence to fully support alloy A.

3 0

3 years ago

Find the coordinates of the circle and the radius y²+2x+x²-24y= -120

riadik2000 [5.3K]

We know that
the equation of a circle is
(x-h+(y-k)²=r²
where (k,k)----> is the center
and
r----> is the radius
y²+2x+x²-24y= -120

Group terms that contain the same variable
(y²-24y)+(x²+2x)=-120

Complete the square twice. Remember to balance the equation by adding the same constants to each side
(y²-24y+144)+(x²+2x+1)=-120+144+1

<span>Rewrite as perfect squares</span>

(y-12)²+(x+1)²=25

(x+1)²+(y-12)²=5²

the answer is
the coordinates of the center are (-1,12)
the radius is 5 units

3 0

3 years ago