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Mashutka [201]
2 years ago
14

What is the answer to this question?

Mathematics
1 answer:
hammer [34]2 years ago
5 0
Both have a right angle, and both have a 61* angle, meaning the third angle has to be 29* on both (all angles in a triangle have to add up to 180 so you subtract the 90 and the 61 = 29)
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Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t
PSYCHO15rus [73]

Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

P(X

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

8 0
3 years ago
A researcher is interested in determining if the more than two thirds of students would support making the Tuesday before Thanks
Yakvenalex [24]

Answer:

The null hypothesis is, {H₀}: p = 0.66, H₀: p = 0.66 .

The alternative hypothesis is, {Hₐ}: p > 0.66, Hₐ​: p > 0.66

Step-by-step explanation:

Let p represent the proportion of students who are supportive of making the day before Thanksgiving a holiday.

Since two populations are considered, the alternative hypothesis for the difference of the means of the two populations has to be stated.

The proportion of two-third students are supportive of making the day before Thanksgiving a holiday is p = 0.66 obtained as shown below:

The null hypothesis is,

{H₀}:p = 0.66, H₀​: p = 0.66

The alternative hypothesis is,

{Hₐ:p > 0.66, Ha​: p > 0.66

The null hypothesis is, {H₀}: p = 0.66, H₀: p=0.66 .

The alternative hypothesis is, {Hₐ}: p > 0.66, Hₐ​: p > 0.66

3 0
3 years ago
How tall would one million pennies be in centimeters.And how do you know
Vikki [24]
One US-penny is 19 mm in diameter.

One British-penny is 20.3 in diameter.

We can make an accurate measurement of the diameters, or research on the internet.


1 milion US_pennies are

1,000,000*19 mm = 19,000,000 mm = 1,900,000 cm tall, since 1cm=10mm


1 milion British_pennies are 

1,000,000*20.3 mm = 20,300,000 mm = 2,030,000 cm tall, since 1cm=10mm  


8 0
3 years ago
How many cm3 is in 1 liter? i just wondering...
natali 33 [55]
Hello,

1 liter of water in normal conditions has a volume of 1dm^3=(1dm)^3=(10 cm)^3=10^3 cm^3=1000 cm^3

4 0
3 years ago
Y=-5x – 26<br> 15y=3x – 18
harina [27]

Answer:

Y = − 5 x − 26

y = x /5 − 6 /5

Step-by-step explanation:

4 0
3 years ago
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