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2 years ago

Which three side lengths best describe the triangle in the diagram?

Mathematics

1 answer:

Sunny_sXe [5.5K]2 years ago

8 0

Answer:

d. 6cm, 6cm, 6cm

Step-by-step explanation:

each one of the rulers is lined correctly and shows that it is 6 cm

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It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat

madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

The test statistics is $t = - 1.761$

The p-value is $p = P(Z < t ) = 0.039119$

$p \ge 0.01$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 122$

The sample size is n= 38

The sample mean is $\= x = 116 \ feet$

The standard deviation is $\sigma = 21$

Generally the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

Generally the test statistics is mathematically evaluated as

$t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }$

substituting values

$t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }$

$t = - 1.761$

The p-value is mathematically represented as

$p = P(Z < t )$

From the z- table

$p = P(Z < t ) = 0.039119$

$p \ge 0.01$

4 0

3 years ago

What is the sum of 1 - 0.5 + 899

I am Lyosha [343]

Answer:

899.5

Step-by-step explanation:

8 0

3 years ago

PLS ANSWER FAST I NEED IT ASAP find the coordinates of p so that p partitions segment ab in the part to whole ratio of 1 to 3 wi

Amanda [17]

Answer:

P(7, -7)

Step-by-step explanation:

Xp = 6+ ⅓(9-6)= 6+ ⅓(3)=6+1 =7

Yp = -10 + ⅓(-1+10)= -10+⅓(9)= -10+3=-7

=> P (7, -7)

5 0

3 years ago

An arc subtends a central angle measuring \dfrac{\pi}{2}

Agata [3.3K]

Arc Length is 1/4th of the circumference .

<u>Step-by-step explanation:</u>

Here we need to find fraction of the circumference is this arc when An arc subtends a central angle measuring $\dfrac{\pi}{2}$ radians ! Let's find out :

We know that circumference of an arc subtending a central angle of x is :

⇒ $Arc = \frac{Angle}{360}(2\pi r)$

⇒ $Arc = \dfrac{\frac{\pi}{2}}{360}(2\pi r)$

⇒ $Arc = \frac{90}{360}(2\pi r)$

⇒ $Arc = \frac{90}{90(4)}(2\pi r)$

⇒ $Arc = \frac{1}{4}(2\pi r)$

⇒ $Arc = \frac{1}{4}(Circumference)$

Therefore , Arc Length is 1/4th of the circumference .

4 0

3 years ago

Scientific research on popular beverages consisted of 70 studies that were fully sponsored by the food industry, and 30 studies

elixir [45]

Answer:

a. 0.26

b. 0.7

c. 0.38

Step-by-step explanation:

For a)

For sponsored studies: 62 % found the products favorable. The percentage is 0.62.

For non-sponsored studies 46% found the products favorable. The percentage is 0.46

Total probability = P(A) × P (B)

= 0.46 × 0.62

= 0.2604

For b)

Probability for the food industry = 0.7

For c) 1 - ( 0.62) = 0.38

8 0

3 years ago