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3 years ago

Question 1 of 23

Mathematics

1 answer:

olasank [31]3 years ago

7 0

D. 57 points because if you turn 95% into a decimal, 0.95 and times it with 60 points you’ll get 57.

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A card is drawn from a standard deck of 52 cards. What is the theoretical probability, as a decimal, of drawing a 9? Round the d

iragen [17]

There are 4 9's in a deck.

The probability would be 4 / 52 = 0.07692

Rounded to the nearest hundredth = 0.08

5 0

3 years ago

Suppose the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an in

zepelin [54]

Answer:

average yearly salary of an individual whose final degree is a masters: $ 66 thousand

average yearly salary of an individual whose final degree is a bachelors: $ 56 thousand

Explanation:

You can set a system of equation using the following steps:

1. Name the variables:

average yearly salary of an individual whose final degree is a masters: x

average yearly salary of an individual whose final degree is a bachelors: y

2. Set the equations that relate the variables:

the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:

equation (1): x = 2y - 46

combined, two people with each of these educational attainments earn $122 thousand:

equation (2): x + y = 122

3. Solve the system:

x = 2y - 46 . . . equation (1)

x + y = 122 . . . equation (2)

Substitute equation (1) into equation (2)

2y - 46 + y = 122

Solve for y:

3y = 122 + 46

3y = 168

y = 168 / 3

y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).

Subsitute the value on y in equation 1, to find the value of x:

x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.

Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.

4 0

4 years ago

Expand & simplify 4(t+2)+6(t-4)

kondaur [170]

Answer:

10t - 16

Step-by-step explanation:

4(t + 2)+ 6(t - 4)

4t + 8 + 6t -24

10t - 16

8 0

3 years ago

Read 2 more answers

Line l is defined by the equation y – 5x = 4 and line w is defined by the equation 10y + 2x + 20 = 0. if line k does not interse

Sliva [168]

Slope of line l (m1)=5
Slope of line w(m2)=-1/5
Since,m1×m2=-1 , line 'l' and 'w' are perpendicular.
Since line 'k' doesn't intersect line 'l' ,they must be parallel b'coz they are in the same plane as well.
Here, 'l' is perpendicular to 'w' and parallel to 'k'....so w and k must be perpendicular to each other.
It can be proven:
Since l and k are parallel, their slopes are equal.
So, slope of k (m3)=5
Since m3×m2=-1 ,w and k are perpendicular.
Hence, angle between w and k is 90°

7 0

3 years ago

A USA Today/CNN/Gallup survey of 369 working parents found 200 who said they spend too little time with their children because o

KengaRu [80]

Answer: a. 0.542

b. 0.051

c. $(0.491,\ 0.593)$

Step-by-step explanation:

Let p be the population proportion of parents spend too little time with their children because of work commitments

As per given , we have

n= 369

$\hat{p}=\dfrac{200}{369}=0.542005420054\approx0.542$

Since the sample proportion is the best estimate for the population proportion.

So , the point estimate of the proportion of the population of working parents who feel they spend too little time with their children because of work commitments = 0.542

z-value for 95% confidence interval : $z_{\alpha/2}=1.96$

Margin of error : $E=z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$E=(1.96)\sqrt{\dfrac{0.542(1-0.542)}{369}}\\\\=0.0508364564574\approx0.051$

The margin of error = 0.051

Confidence interval : $\hat{p}\pm E$

$0.542\pm0.051\\\\=(0.542-0.051,\ 0.542+0.051)\\\\=(0.491,\ 0.593)$

95% confidence interval estimate of the population proportion of working parents who feel they spend too little time with their children because of work commitments : $(0.491,\ 0.593)$

6 0

4 years ago