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2 years ago

Which angles are obtuse angles in the figure shown

Mathematics

1 answer:

earnstyle [38]2 years ago

5 0

The answer is D. ∠FVI and ∠GVE. An obtuse angle must be wider than 90° (like the corners of a square or rectangle) and less than 180° (literally a straight line).

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Melissa said that each member of her group completed 5/12 foot of a tower for a garden display. There were 3 members in her grou

Setler [38]

A) 5/12×3=1 1/4 I know this for sure

4 0

2 years ago

Read 2 more answers

A grinding wheel manufacturer designed a new grinding wheel. Repeated tests were conducted on wheels of approximately the same w

sergejj [24]

Answer:

a) $a=225 +0.674*16.5=236.121$

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.

b) $P(X \geq 3) = 1-P(X$

c) $P(\bar X \geq 225)=1- P(\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Part a

Let X the random variable that represent the cuts of a population, and for this case we know the distribution for X is given by:

$X \sim N(225,16.5)$

Where $\mu=225$ and $\sigma=16.5$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.674=\frac{a-225}{16.5}$

And if we solve for a we got

$a=225 +0.674*16.5=236.121$

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.

Part b

For this case we know that the individual probability of select one wheel with a cutting rate higher than the calculated value in part a is 0.25, and we select n =10 so then we can use the binomial distribution for this case:

$X\sim Bin(n=10, p=0.25)$

And we want this probability:

$P(X \geq 3) = 1-P(X$

We can find the individual probabilities like this:

$P(X=0)=(10C0)(0.25)^0 (1-0.25)^{10-0}=0.0563$

$P(X=1)=(10C1)(0.25)^1 (1-0.25)^{10-1}=0.1877$

$P(X=2)=(10C2)(0.25)^2 (1-0.25)^{10-2}=0.2816$

$P(X \geq 3) = 1-P(X$

Part c

For this case we know that the distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we want this probability:

$P(\bar X \geq 225)$

And for this case we can use the complement rule and the z score given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we replace we got:

$P(\bar X \geq 225)=1- P(\bar X$

4 0

2 years ago

A triangular pyramid has a height of 18 yards and a base with an area of 330 square yards. What is the volume of the pyramid?

WITCHER [35]

Answer:

option C. $V=1,980\ yd^{3}$

Step-by-step explanation:

we know that

The volume of the triangular pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the triangular base

h is the height of the pyramid

In this problem we have

$B=330\ yd^{2}$

$h=18\ yd$

substitute in the formula

$V=\frac{1}{3}(330)(18)=1,980\ yd^{3}$

3 0

2 years ago

How do you divide a whole number by a decimal? Example 9.00 divided by 6.75

sammy [17]

Answer to the example is 1.3 repeating

Step-by-step explanation:

The number we divide by is called the divisor. To divide decimal numbers: Multiply the divisor by as many 10's as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10's.

5 0

3 years ago

Read 2 more answers

Help!!! Asap!! Will give out brainliest!! Need to explain how you did it please and thanks!! Just look at the picture attached!!

Softa [21]

9514 1404 393

Answer:

C f(x) = {4e^x -5, ..., -x +7, ...

Step-by-step explanation:

The easiest portion to check is the constant section in the interval [0, 6]. All of the function definitions agree on that, so that doesn't help choose the right answer.

Next easiest is the linear section at the right. It has a negative slope. Extension of the line to the y-axis shows it has a positive y-intercept. This eliminates choices A and D.

The horizontal asymptote of the exponential portion at the left is -5. Both of the remaining choices B and C agree on that. The exponential is increasing at an increasing rate, so its coefficient is positive. This eliminates choice B.

The appropriate description of the function on the graph is offered by choice C.

_____

The graph below plots the function. We note that the given graph seems to show the exponential curve incorrectly.

4 0

3 years ago