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3 years ago

Find the measure of the missing angle *

Mathematics

1 answer:

sergeinik [125]3 years ago

8 0

Answer:

≈ 49.9° and ≈ 71.0°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin? = $\frac{opposite}{hypotenuse}$ = $\frac{13}{17}$ , then

? = $sin^{-1}$ ( $\frac{13}{17}$ ) ≈ 49.9° ( to the nearest tenth )

----------------------------------------------------------------

Using the cosine ratio in the right triangle

cos? = $\frac{adjacent}{hypotenuse}$ = $\frac{14}{43}$ , then

? = $cos^{-1}$ ( $\frac{14}{43}$ ) ≈ 71.0° ( to the nearest tenth )

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A trimming operation at a local manufacturer produces rods whose length conforms to unifrom distribution with a minimum of 18cm

MariettaO [177]

Answer:

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

Step-by-step explanation:

Given: uniform distribution with min and max values of 18 and 33 respectively.

To find : probability density for upper cumulative frequency i.e 25.8 at least means x $\geq$ 25.8 upto 33 cm i.e the maximum limit of function.

Solution:

we have by definition , of uniform distribution

we get , probability density function defines as :

<em>F(x,a,b)= </em> $\frac{1}{b-a}$ <em> </em> $a\leq x\leq b$

=1/(33-18)=1/15=0.0667.

this is probability density function.

here the x=25.8 , a=18 and b=33

for lower cumulative frequency it defines as ;

P(x,a,b)= $\frac{x-a}{b-a}$ =25.8-18/33-18=0.52

for upper cumulative frequency it defines as ;

Q(x,a,b)=b-x/b-a=33-25.8/33-18=0.48

here at least 25.8 cm probability means it should be greater than a value(18cm) hence it is provided by the upper cumulative frequency

i.e. Q(x,a,b)=0.48

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

7 0

3 years ago

13/78 in simplest form

hjlf

Answer:

Step-by-step explanation:

1/6

8 0

3 years ago

Read 2 more answers

Which of the following is a benefit of increasing the sample size when trying to estimate the mean from a sample average?

andrezito [222]

Answer:

Step-by-step explanation:

The larger the sample size, the lower the standard deviation. The standard deviation shows how the data is spread from the mean. Therefore, benefit of increasing the sample size when trying to estimate the mean from a sample average are

a. A reduction in the bias of the estimate.

b. A reduction in the variability of the estimate.

The width of confidence interval is determined by the margin of error

Margin of error = z × s/√n

A smaller standard deviation and increased size would result to a narrower confidence interval. Therefore, increasing the sample size does not result to an increase in the width of the resulting confidence interval.

3 0

3 years ago

Plz help thank you no mean comment lovesomethingsomething(I don’t care enough to write her whole name)thank you

Alex_Xolod [135]

The answer is 144 because you have to do this 4 ×(2+34).it is telling you that the x equals to 4 that’s why it is 34 not 3x.

3 0

3 years ago

NEED TO KNOW ASAP<br> Which of the following is a quadratic inequality?<br> Oy<2x+7<br> Oy Oy

Burka [1]

Answer:

Step-by-step explanation:

A quadratic inequality is one that involves a quadratic polynomial.

<h3>Identification</h3>

The degree of a polynomial is the value of the largest exponent of the variable. When the degree of a polynomial is 2, we call it a <em>quadratic</em>.

For the following inequalities, the degree of the polynomial in x is shown:

y < 2x +7 . . . degree 1
y < x^3 +x^2 . . . degree 3
y < x^2 -5x . . . degree 2 (quadratic)

<h3>Application</h3>

We see that the degree of the polynomial in x is 2 in ...

y < x^2 -5x

so that is the quadratic inequality you're looking for.

<em>Additional comment</em>

When a term involves only one variable, its degree is the exponent of that variable: 5x^3 has degree 3. When a term involves more than one variable, the degree of the term is the sum of the exponents of the variables: 8x^4y3 has degree 4+3=7.

8 0

2 years ago