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3 years ago

Can you estimate 7533

1 answer:

7 0

Based on your comment I assume you want to find 7,533 subtracted by 7,200. To estimate this, round 7,533 to the hundreds place, so 7,533 becomes 7,500.

7,500 - 7,200 = 300, using mental math.

You might be interested in

Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be odd and no digi

Yuliya22 [10]

Answer:

1/4 or 0.25

Step-by-step explanation:

The total possibilities of any 7 digit number using 0-9 is :

9×10×10×10×10×10×10=9000000

To work out the total possibilities in this question :

We look at the conditions :

The first digit can only be 5 numbers :

1 , 3 , 5 , 7 , 9

Now we subtract 5 from 9 :

9-5 = 4

Since no repeats for 2 , 3 , 4, 5, 6:

9 , 8 , 7 , 6 , 5,

5 possibilities for the last digit :

Total possibilities for this code :

4 × 9 × 8 × 7 × 6 × 5 × 5 = 302400

If it begins with 5 that is only 1 possibility for the first digit

1 × 9 × 8 × 7 × 6 × 5 × 5 = 75600

Now we make a fraction :

75600÷302400

Dividing top and bottom by 75600 gives you 1/4 or 0.25

Hope this helped and have a good day

7 0

2 years ago

Read 2 more answers

HELP ME PLEASE

Ghella [55]

Answer:

B) No, supplementary angles are either of two angles whose sum is 180 degrees.

C) Yes, the triangles are congruent because the triangles have exactly the same size and shape

Step-by-step explanation:

B) From the image below an 180 degree angle would be obtuse in which neither angle appears to be so they are not supplementary.

C) They are congruent because they are taking angles of the same angles as one another just on different sides of the shape.

4 0

2 years ago

Read 2 more answers

Factor the expression. x2-x-6

lisabon 2012 [21]

Answer:

(x+2)⋅(x−3)

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

In a simple random sample of 14001400 young people, 9090% had earned a high school diploma. Complete parts a through d below.

ratelena [41]

Answer:

(a) The standard error is 0.0080.

(b) The margin of error is 1.6%.

(c) The 95% confidence interval for the percentage of all young people who earned a high school diploma is (88.4%, 91.6%).

(d) The percentage of young people who earn high school diplomas has increased.

Step-by-step explanation:

Let p = proportion of young people who had earned a high school diploma.

A sample of n = 1400 young people are selected.

The sample proportion of young people who had earned a high school diploma is:

$\hat p=0.90$

(a)

The standard error for the estimate of the percentage of all young people who earned a high school diploma is given by:

$SE_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Compute the standard error value as follows:

$SE_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=\sqrt{\frac{0.90(1-0.90)}{1400}}\\$

$=0.008$

Thus, the standard error for the estimate of the percentage of all young people who earned a high school diploma is 0.0080.

(b)

The margin of error for (1 - α)% confidence interval for population proportion is:

$MOE=z_{\alpha/2}\times SE_{\hat p}$

Compute the critical value of z for 95% confidence level as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the margin of error as follows:

$MOE=z_{\alpha/2}\times SE_{\hat p}$

$=1.96\times 0.0080\\=0.01568\\\approx1.6\%$

Thus, the margin of error is 1.6%.

(c)

Compute the 95% confidence interval for population proportion as follows:

$CI=\hat p\pm MOE\\=0.90\pm 0.016\\=(0.884, 0.916)\\\approx (88.4\%,\ 91.6\%)$

Thus, the 95% confidence interval for the percentage of all young people who earned a high school diploma is (88.4%, 91.6%).

(d)

To test whether the percentage of young people who earn high school diplomas has increased, the hypothesis is defined as:

H₀: The percentage of young people who earn high school diplomas has not increased, i.e. p = 0.80.

Hₐ: The percentage of young people who earn high school diplomas has not increased, i.e. p > 0.80.

Decision rule:

If the 95% confidence interval for proportions consists the null value, i.e. 0.80, then the null hypothesis will not be rejected and vice-versa.

The 95% confidence interval for the percentage of all young people who earned a high school diploma is (88.4%, 91.6%).

The confidence interval does not consist the null value of p, i.e. 0.80.

Thus, the null hypothesis is rejected.

Hence, it can be concluded that the percentage of young people who earn high school diplomas has increased.

8 0

3 years ago

The following graph shows a proportional relationship.

LenKa [72]

Answer:

Step-by-step explanation:

If we look at the graph this is an increasing graph where y increases with respect to x so in other words we can say that y is directly proportional to x.

$y\ \alpha\ x\\$

and when we remove the proportionality sign we replace it with an equal to sign and a constant. So it becomes ,

$y = kx\\$

now to find the Constant of proportionality which is k we can use any ordered pair(coordinate/point) from the graph,

Lets take ( 2 , 4) where 2 represents the value of x on the x-axis and 4 represents the value of y on the y-axis so now,

$y=kx\\(4)=k(2)\\4=2k\\4/2=k\\k=2\\$

so the constant of proportionality is 2

4 0

3 years ago