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3 years ago

The sum of a number and 20 is no more than the sum of the square of the number and 9.

2 answers:

8 0

The answer is A because the phrase " no more than" stands for the symbol "less than or equal to", and "the sum of the square if the number and 9" stands for the number squared and then added to nine (x + 9)2.

Olegator [25]3 years ago

8 0

Answer:

Option A is correct

$x+20 \leq x^2+9$

Step-by-step explanation:

Let the number be x.

As per the statement:

The sum of a number and 20 is no more than the sum of the square of the number and 9.

"sum of a number and 20" translated to x + 20

"no more than" means $\leq$

"sum of the square of the number and 9" translated to $x^2+9$

then;

$x+20 \leq x^2+9$

Therefore, the following inequalities can be used to determine this unknown number is, $x+20 \leq x^2+9$

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Please help I give lots of points.

Minchanka [31]

Answer:

I believe your answer is z5√z the fourth option

7 0

4 years ago

9× 3 1/2= Which choice is the most reasonable answer?

icang [17]

Answer:

31.5 or 63/2

Step-by-step explanation:

to do this, first you need to transform the mixed number (3 1/2) into an improper fraction, to get 7/2.

then you just multiply 9 by 7/2

9/1 (7/2)

63/2 = 31.5

both of the answers in bold are correct

8 0

3 years ago

NarStor, a computer disk drive manufacturer, claims that the median time until failure for their hard drives is more than 14,400

Ne4ueva [31]

Answer:

The test statistics is $t = -1.727$

Step-by-step explanation:

From the question we are told that

The data given is

330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814

The population mean is $\mu = 14400$

The sample size is n = 16

The null hypothesis is $\mu \le 14400$

The alternative hypothesis is $H_a : \mu > 14400$

The sample mean is mathematically evaluated as

$\= x = \frac{\sum x_i}{n}$

$\= x = \frac{330+ 620+ 1870 +2410+ 4620+ 6396+ 7822+ 8102+8309+ 12882+ 14419+ 16092+ 18384 +20916+ 23812+ 25814 }{16}$

=> $\= x = 10799.9$

The standard deviation is mathematically represented as

$\sigma =\sqrt{\frac{ \sum (x_i - \=x)^2}{n}}$

$\sigma =\sqrt{\frac{(330- 10799.9)^2 + (620- 10799.9)^2+ (1870- 10799.9)^2 +(2410- 10799.9)^2 + (4620- 10799.9)^2 +(6396- 10799.9)^2 +(7822- 10799.9)^2 }{16}} \ ..$

$..\sqrt{ \frac{(8102 - 10799.9)^2 +(8309 - 10799.9)^2 + (12882 - 10799.9)^2 + (14419 - 10799.9)^2 + (16092 - 10799.9)^2 + (18384 - 10799.9)^2 +(20916 - 10799.9)^2 }{16}} \ ...$

$\ ... \sqrt{\frac{(23812 - 10799.9)^2 +(25814 - 10799.9)^2 }{16}}$

=> $\sigma = 8340$

Generally the test statistic is mathematically represented as

$t = \frac{10799.9- 14400}{ \frac{8340}{\sqrt{16} } }$

$t = -1.727$

From the z-table the p-value is

$p-value = P(Z > t) = P(Z > -1.727) = 0.95792$

From the values obtained we see that

$p-value > \alpha$ so we fail to reject the null hypothesis

Which implies that the claim of the NarStor is wrong

5 0

3 years ago

A sports ball has a diameter of 27 cm. Find the volume of the ball. cm.) Round your answer to the nearest tenth if necessary.

Anestetic [448]

To calculate the volume of a sphere you must use the formula
v=4/3pir^3

The radius (r) is half of the diameter
r=13.5

v=4/3pi13.5^3
v=10305.99

Therefore the volume of the sports ball is 10306cm^3 (to the nearest tenth)

8 0

3 years ago

PLEASE HELP ME WILL AWARD BRAINLIEST

mixas84 [53]

Answer:

I think the answer is b

Step-by-step explanation:

there are the same number of squares in both shapes.

8 0

3 years ago

Read 2 more answers