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2 years ago

Help me complete it fast pls

Mathematics

1 answer:

andrew11 [14]2 years ago

8 0

Answer:

AC < AB

Step-by-step explanation:

We can see just by looking at it, they are not the same length.

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Suppose that in a random selection of 100 colored candies, 24% of them are blue. The candy company claims that the percentage

LuckyWell [14K]

Answer:

We conclude that the percentage of blue candies is equal to 23% at 0.01 significance level.

Step-by-step explanation:

We are given that in a random selection of 100 colored candies, 24% of them are blue.

The candy company claims that the percentage of blue candies is equal to 23%.

Let p = percentage of blue candies.

So, Null Hypothesis, $H_0$ : p = 23% {means that the percentage of blue candies is equal to 23%}

Alternate Hypothesis, $H_A$ : p $\neq$ 23% {means that the percentage of blue candies is different from 23%}

The test statistics that would be used here One-sample z proportion test statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n}} }$ ~ N(0,1)

where, $\hat p$ = sample proportion of blue colored candies = 24%

n = sample of colored candies = 100

So, test statistics = $\frac{0.24-0.23}{\sqrt{\frac{0.24(1-0.24)}{100}} }$

= 0.234

The value of z test statistics is 0.234.

Now, at 0.01 significance level the z table gives critical values of -2.5758 and 2.5758 for two-tailed test.

Since our test statistics lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the percentage of blue candies is equal to 23%.

6 0

3 years ago

Rewrite the expression 7(4+5) as the sum of 28 and another whole number

Aliun [14]

7(4 + 5) = 63

28 + 35 fits the criteria for your question.

8 0

3 years ago

PLEASE HELP! 50 Points!

gulaghasi [49]

The bearing of the plane is approximately 178.037°. $\blacksquare$

<h3>Procedure - Determination of the bearing of the plane</h3><h3 />

Let suppose that bearing angles are in the following standard position, whose vector formula is:

$\vec r = r\cdot (\sin \theta, \cos \theta)$ (1)

Where:

$r$ - Magnitude of the vector, in miles per hour.
$\theta$ - Direction of the vector, in degrees.

That is, the line of reference is the $+y$ semiaxis.

The resulting vector ( $\vec v$ ), in miles per hour, is the sum of airspeed of the airplane ( $\vec v_{A}$ ), in miles per hour, and the speed of the wind ( $\vec v_{W}$ ), in miles per hour, that is:

$\vec v = \vec v_{A} + \vec v_{W}$ (2)

If we know that $v_{A} = 239\,\frac{mi}{h}$ , $\theta_{A} = 180^{\circ}$ , $v_{W} = 10\,\frac{m}{s}$ and $\theta_{W} = 53^{\circ}$ , then the resulting vector is:

$\vec v = 239 \cdot (\sin 180^{\circ}, \cos 180^{\circ}) + 10\cdot (\sin 53^{\circ}, \cos 53^{\circ})$

$\vec v = (7.986, -232.981) \,\left[\frac{mi}{h} \right]$

Now we determine the bearing of the plane ( $\theta$ ), in degrees, by the following trigonometric expression:

$\theta = \tan^{-1}\left(\frac{v_{x}}{v_{y}} \right)$ (3)

$\theta = \tan^{-1}\left(-\frac{7.986}{232.981} \right)$

$\theta \approx 178.037^{\circ}$

The bearing of the plane is approximately 178.037°. $\blacksquare$

To learn more on bearing, we kindly invite to check this verified question: brainly.com/question/10649078

5 0

2 years ago

Can someone help me with this

jarptica [38.1K]

The answer is y=- 7/6x+8
Plz mark me Brainly

6 0

2 years ago

Write the explicit formula that represents the geometric sequence -2, 8, -32, 128

MissTica

So hmm the first term is -2

and if we divide one term by the term before it, we'd get the "common ratio" "r"

so hmm say -32/8 that gives us -4, so r = -4

thus $\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1r^{n-1}\qquad 
\begin{cases}
a_1=\textit{first term}\\
r=\textit{common ratio}\\
----------\\
a_1=-2\\
r=-4
\end{cases}\implies a_n=-2(-4)^{n-1}$

6 0

3 years ago