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Paladinen [302]
2 years ago
8

Divide: 91,035 ÷ 51 Enter the answer in the box.​

Mathematics
1 answer:
natka813 [3]2 years ago
8 0
1,758 is the answer
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What is the solution to this equation?<br><br><br> 2x + 3 = x − 4
aivan3 [116]

Answer:

x = −7

Step-by-step explanation:

2x + 3 = x − 4

Subtract 3 from both sides of the equation

2x = x −7

Subtract x from both sides of the equation

x = −7

6 0
3 years ago
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Parallel lines are always what?
MArishka [77]

Answer:

parallel lines never touch each other

5 0
2 years ago
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 340 babies were​ born, a
Bas_tet [7]

Answer:

The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).

b)Yes, the proportion of girls is significantly different from 0.5.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

In the study 340 babies were​ born, and 289 of them were girls. This means that n = 340, \pi = \frac{289}{340} = 0.85

Use the sample data to construct a 99​% confidence interval estimate of the percentage of girls born.

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{340}} = 0.85 - 2.575\sqrt{\frac{0.85*0.15}{400}} = 0.80

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{340}} = 0.85 + 2.575\sqrt{\frac{0.85*0.15}{400}} = 0.90

The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).

Does the method appear to be ​effective?

b)Yes, the proportion of girls is significantly different from 0.5.

4 0
3 years ago
Solve #14 for x and y plsss I WILL GIVE BRAINLY
frez [133]

7x - 44 = 4x + 4

Add both sides 44

7x - 44 + 44 = 4x + 4 + 44

7x = 4x + 48

Subtract both sides 4x

7x - 4x = 4x - 4x + 48

3x = 48

Divide both sides by 3

3x ÷ 3 = 48 ÷ 3

<h2>x = 16 </h2>

______________________________

Suppose that the angle between 39 and 4x + 4 is t degrees as you know they make a straight line together thus :

39 + t + 4x + 4 = 180

39 + t + 4(16) + 4 = 180

39 + t + 64 + 4 = 180

39 + t + 68 = 180

t + 107 = 180

Subtract both sides 107

t + 107 - 107 = 180 - 107

<h2>t = 73 </h2>

_____________________________

8y - 43 = 4x + 4 + t

8y - 43 = 4(16) + 4 + 73

8y - 43 = 64 + 4 + 73

8y - 43 = 68 + 73

8y - 43 = 141

Add both sides 43

8y - 43 + 43 = 141 + 43

8y = 184

Divide both sides by 8

8y ÷ 8 = 184 ÷ 8

<h2>y = 23 </h2>

6 0
2 years ago
The following table shows the values of y for different values of x:
solmaris [256]

Answer:

Option B. It represents a nonlinear function because its points are not on a straight line.

Step-by-step explanation:

Let

A(0,0),B(1,1),C(2,4)

we know that

If point A,B and C are on a straight line

then

The slope of AB must be equal to the slope of AC

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

<em>Find the slope AB</em>

A(0,0),B(1,1)

substitute in the formula

m_A_B=\frac{1-0}{1-0}=1

<em>Find the slope AC</em>

A(0,0),C(2,4)

substitute in the formula

m_A_C=\frac{4-0}{2-0}=2

so

m_A_B\neq m_A_C

Points A, B and C are not on a straight line

therefore

It represents a nonlinear function because its points are not on a straight line

8 0
3 years ago
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