I need help on this question plz

Choose the number pair that has digits of 4 that differ in place by a factor of 1000. 4 A. 49,823 and 81,540 B. 83,419 and 46,85

Ne4ueva [31]

Answer:

The correct option is D) 47,063 and 54,722.

Step-by-step explanation:

Consider the provided information.

Here we need to find the number pair that has digits of 4 that differ in place by a factor of 1000.

Now consider the option A) 49,823 and 81,540

The place value of 4 in 49,823 and 81,540 is 40,000 and 40 respectively.

So the difference=40,000-40=39960 which is not a multiple of 1000.

Consider the option B) 83,419 and 46,859

The place value of 4 in 83,419 and 46,859 is 400 and 40,000 respectively.

So the difference=40,000-400=39600 which is not a multiple of 1000.

Consider the option C) 54,890 and 81,745

The place value of 4 in 54,890 and 81,745 is 4000 and 40 respectively.

So the difference=4000-40=3960 which is not a multiple of 1000.

Consider the option D) 47,063 and 54,722

The place value of 4 in 47,063 and 54,722 is 40,000 and 4000 respectively.

So the difference=40000-4000=36000 which is a multiple of 1000.

Hence, the correct option is D) 47,063 and 54,722.

3 0

2 years ago

The makers of a smartphone have received complaints that the face recognition tool often doesn't work, or takes multiple attempt

cupoosta [38]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the new version and the old version. The population proportion of the time that the tool works for the new and old version would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of the times that the tool works for the new and old version

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

H1 : p1 > p2

p1 - p2 > 0

it is a right tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples

For new version

p1 = 70/100 = 0.7

n1 = 80

x1 = n1p1 = 80 × 0.7 = 56

For old version,

p2 = 56/100 = 0.56

n2 = 75

x2 = n2p2 = 75 × 0.56 = 42

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (56 + 42)/(80 + 75) = 0.63

1 - pc = 1 - 0.63 = 0.37

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.7 - 0.56)/√(0.63)(0.37)(1/80 + 1/75) = 0.14/0.07759993557

z = 1.8

Since it is a right tailed test, we will look at the area to the right of the z score on the normal distribution table to determine the p value. Therefore,

p = 1 - 0.9641 = 0.04

By using the p value,

Since 0.1 > 0.04, we would reject the null hypothesis. Therefore, at a significance level of 0.1, it can be concluded that the new version is performing better.

7 0

2 years ago

How does the amount of vitamin c in each type of juice compare? Complete the statement. One serving of Orange juice has how many

sweet-ann [11.9K]

12 more servings than orange juice

4 0

3 years ago

Read 2 more answers

3(x + 1) = -2(x - 1) - 4

Svetllana [295]

Answer:

Step-by-step explanation:

1. Distribute

3x + 3 = -2x + 2 - 4

2. Simplify

-2x + 2 - 4

2-4 = -2

-2x - 2

3. Solve

3x + 3 = -2x - 2

+2x +2x

4. Cont. Solving

5x + 3 = -2

-3 -3

5x = -5

5. Divide by 5

5x = -5

/5 /5

Hope this helped,

Kavitha Banarjee

8 0

2 years ago

WILL MARK BRAINLIEST, PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!!!

Snowcat [4.5K]

Answer:
y=1/6x-6

Explanation:
What we know:
- Equation for line S: y=-6x+2
- Line T is perpendicular to line S
- Line T passes through the point (-6,-7)

To find the answer, we would need to understand two things, the first being what exactly is going on with the equation: y=-6x+2.

It’s organized in slope-intercept form, which is y=mx+b. Here’s what the variables mean:

Y=the y variable
M=the slope
X=the x variable
B=the y-intercept (the point on the line that crosses the y axis)

Knowing this, we can look at the equation for line S again: y=-6x+2. -6 is the slope of line S and 2 is the y-intercept of line S.

The second thing we need to understand is that the slope of a second line that is perpendicular to the first line is equal to the NEGATIVE RECIPROCAL of the slope of the first line.

Reciprocal: the “flip” of a fraction where the denominator and the numerator switch places

So, for example, let’s say the slope of line A=6. The slope of the line perpendicular to line A would be -1/6.

Let’s try another example: the slope of line B=-4/5. The slope of the line perpendicular to line B would be 5/4 (because two negatives makes a positive)

And here, for your question, the slope of line S=-6. Therefore, the slope of line T would be 1/6.

Awesome! We found the slope, which means so far, the equation of line T looks like this:

y=1/6x+b

All we need now is the y-intercept, which is “b” in the equation y=mx+b.

To do this, we plug in the point that the question provided us, (-6,-7), and solve. We would plug in -7 as the y variable and -6 as the x variable.

y=1/6x+b
-7=1/6(-6)+b
1) multiply 1/6 and -6
-7=-1+b
2) add 1 to both sides of the equation to isolate b
-6=b

Aha! There we have it, -6 is the y-intercept of line T.

Now, we have completed our equation:

y=1/6x-6

I hope this helps! Please comment if you have any questions.

7 0

3 years ago