A company charges a shipping fee that is 4% of the purchase price for all items

A rectangle has a width of 9 cm, and a diagonal of 15 cm. Find the length.

iren2701 [21]

The answer is
$9 { + 15 {}^{2} }^{= \sqrt{108}$

6 0

3 years ago

How do I know when I need to use SSS or SAS in geometry? I'm having a lot of trouble understanding the difference and when to us

Pavel [41]

SSS = Side-Side-Side
If three sides of one triangle are congruent to three sides of another triangle then the triangles are congruent.

SAS = Side-Angle-Side
If two sides and the included angle are equal to the corresponding parts of another triangle then the triangles are congruent.'
The angle must be formed by the two pairs of congruent, corresponding sides of the triangles. If the angles are not formed by the two sides that are congruent and corresponding to the other triangle's parts then you cannot use the SAS postulate.

you will notice that the main difference between the two postulates is that the SAS consists of an angle and the SSS does not.

hope this helps :)

7 0

3 years ago

Which value for x makes the sentence true?<br><br> 2.45 + x = 3.64

Scrat [10]

Answer:

1.19

Step-by-step explanation:

You're trying to figure out what x is here.

So you'll want to isolate the x. That means, get it alone.

Since both sides are equivalent, when you subtract 2.45 from the x side, you also subtract it from the other side too.

x = 3.64 - 2.45

x = 1.19

7 0

3 years ago

Read 2 more answers

Suppose that a box of 86 circuits is sent to a manufacturing plant. Of the 86 circuits shipped, 5 are defective. The plant manag

Triss [41]

Answer:

the probability that the shipment is accepted is 0.8865

Step-by-step explanation:

Given the data in the question;

N = 86, n/d = 5 and n = 2

now, without replacement

the probability that the shipment is accepted will be;

probability that the shipment is accepted = probability that non is defectives

so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))

p( non is defective ) = ( 81 / 86) × (80/85)

p( non is defective ) = 0.8865

Therefore, the probability that the shipment is accepted is 0.8865

7 0

3 years ago

A nonprofit organization sent mailing labels along with a request for donations to a random sample of 75,000 potential donors on

Law Incorporation [45]

Answer:

Check the explanation

Step-by-step explanation:

The null and alternative hypotheses in symbols and words are as follows:

: p ≤ 0.06 (There has been no change in the contribution rate due to addition of the mailing labels)

: p > 0.06 (The addition of the mailing labels has increased the contribution rate)

Test Statistics

The following information is provided: The sample size is N = 75000, the number of favorable cases is X = 5625, and the sample

The z-statistic is computed as follows:

- $P_0$ (1 -

Test statistic z = 17.297

P-value

P-value corresponding to z = 17.297 for a two tailed test is obtained using standard normal table.

p-value = 0.0000

90% Confidence Interval Calculation

Kindly check the attached image below.

Conclusion

Since p-value = 0.0000 < α = 0.05, we reject null hypothesis .

At 0.05 significance level, there is enough evidence to conclude that the addition of the mailing labels has increased the contribution rate.

Since the 90% confidence interval (0.073, 0.077) does not contain the hypothesized value 0.06, the result is significant and we reject null hypothesis.

In other words, at 0.10 significance level, there is enough evidence to conclude that the addition of the mailing labels has increased the contribution rate.

4 0

3 years ago