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3 years ago

Help Asap! Find the measure of 3. 90° 26° 116° 64°

Mathematics

2 answers:

vfiekz [6]3 years ago

8 0

Answer:

90°

Step-by-step explanation:

zavuch27 [327]3 years ago

6 0

Answer:

Step-by-step explanation:

m∠1 = m∠3 = 90°

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A virticaly pole BP stands at one corner of a horizontal rectanglar field as shown if ab

Akimi4 [234]

Answer:

the answer is b

Step-by-step explanation:

5 0

3 years ago

Cheyenne live 7/10 miles from school.a fraction in hundredths

Tems11 [23]

7/10 in hundredths is 70/100

8 0

3 years ago

A couple plans to have children until they get a girl, but they agree they will not have more than three children, even if all

barxatty [35]

Answer:

a)Let X be number of children

X=1,2,3

P(X=1)= 0.47

P(X=2) = 0.2491

P(X=3) = 0.942923

b) 3.7970

c) 1.6232

Step-by-step explanation:

The complete question is:

A couple plans to have children until they get a girl, but they agree they will not have more than three children, even if all are boys. Assume that the probability of having a girl is 47.00%.

a) Create a probability model for the number of children they'll have.

X=1,2,3

P(X=1)=??

P(X=2)= ??

P(X=30=???

(Round to four decimal places as needed

b) Find the expected number of children.

E(X)= ???

c) Find the expected number of boys they'll have.

Expected number of boys= ???

Solution:

Probability of a girl= 0.47

Probability of a boy= 0.53

a) P(X=1)= 0.47

P(X=2) = 0.47× 0.53= 0.2491

P(X=3)= 0.47× 0.53× 0.53 + 0.53× 0.53× 0.53

= 0.942923

b) E(number of children)= 1× P(X=1) + 2 ×P(X=2) + 3 × (PX=3)

= 3.796969

c) Y: number of boys

P(Y=1)= 0.53×0.47= 0.2491

P(Y=2) = 0.53×0.53×0.47=0.46375

P(Y=3)= 0.53× 0.53× 0.53= 0.148875

E(Y)= P(Y=1)×1 + P(Y=2)×2 + P(Y=3)×3

= 0.148875×3 +0.46375×2+0.2491 ×1

= 1.6232

5 0

3 years ago

Find the Quetion of the line that passes through the points (1,6) and (5,2)

NemiM [27]

Answer:

$y=-x+7$

Step-by-step explanation:

Equation of straight line is given as

$y-y_1=m(x-x_1)$

where slope m is calculated as

$m=\frac{y_2-y_1}{x_2-x_1}$

Here 

$(x_1, y_1)=(1, 6) \ \ and \ \ (x_21, y_2) = (5, 2)$

$m = \frac{2 - 6}{5 - 1}\\m=\frac{- 4}{4} \\m=-1$

Equation of line that passes through the points (1,6) and (5,2)

$y-6=-1(x-1)\\y=-x+7$

5 0

3 years ago

A random sample of 4"4 fields" of barley has a mean yield of "49.6"49.6 bushels per acre and standard deviation of 7.997.99 bush

ExtremeBDS [4]

Answer:

The critical value that should be used in constructing the interval is T = 5.8408.

The 99% confidence interval for the true mean yield is between 2.943 bushels per acre and 96.268 bushels per acre.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the students t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 4 - 1 = 3

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 5.8408. This is the critical value.

The margin of error is:

M = T*s = 5.8408*7.99 = 46.668 bushels per acre

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 49.6 - 46.668 = 2.943 bushels per acre.

The upper end of the interval is the sample mean added to M. So it is 49.6 + 46.668 = 96.268 bushels per acre.

The 99% confidence interval for the true mean yield is between 2.943 bushels per acre and 96.268 bushels per acre.

8 0

3 years ago