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3 years ago

What is the length of the hypotenuse of right DEF shown????

Mathematics

2 answers:

Free_Kalibri [48]3 years ago

4 0

The answer will be B

Naddik [55]3 years ago

4 0

Answer:

c.)

Step-by-step explanation:

[c=]\sqrt{a^2+b^2}[/tex]

[c=]\sqrt{6^2+9^2}[/tex]

[c=]\sqrt{36+81}[/tex]

[c=]\sqrt{117}[/tex]

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Bryce and Rachel are collecting canned goods for the local food bank Bryce goal is to collect 32 items Rachel's goal is to colle

REY [17]

The faction is 3/4.
I got the answer by doing 24/32 = 0.75.
Then, I converted the decimal into a fraction. Which, is 3/4.
I hope this helps! :)

6 0

3 years ago

11) the difference between the product of 4 and a number and the square of the number

marta [7]

Answer:

$= 4x-x^2\\\\$

Step-by-step explanation:

Let the number be x;

The product of 4 and the number will be;

$= 4 * x\\\\= 4x$

The the square of the number is given as;

$= x^2\\$

Taking the difference of both expressions above;

$= 4x-x^2\\\\$

Factor out the common term:

$= x(4-x)\\\\$

Hence the difference between the product of 4 and a number and the square of the number is $= 4x-x^2\\\\$

6 0

3 years ago

Fraction multiplying by fractions

Amanda [17]

$\bf \cfrac{2}{9}\times a=\cfrac{3}{15}\implies \cfrac{2a}{9}=\cfrac{1}{5}\implies 2a=\cfrac{9\cdot 1}{15}\implies 2a=\cfrac{3}{5}
\\\\\\
a=\cfrac{3}{2\cdot 5}
\implies 
a=\cfrac{3}{10}\\\\
-------------------------------\\\\
\cfrac{2}{5}\times b=\cfrac{7}{12}\implies \cfrac{2b}{5}=\cfrac{7}{12}\implies 2b=\cfrac{5\cdot 7}{12}\implies 2b=\cfrac{35}{12}
\\\\\\
b=\cfrac{35}{2\cdot 12}\implies b=\cfrac{35}{24}$

3 0

3 years ago

In Exercises 1–4, use these results from a USA Today survey in which 510 people chose to respond to this question that was poste

Alexus [3.1K]

Answer:

The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.

Step-by-step explanation:

In this case we need to test the claim that more than half of the population believes that passwords should be replaced with biometric security.

Assume that the significance level of the test is, α = 0.05.

The hypothesis can be defined as follows:

H₀: The proportion of the population believes that passwords should be replaced with biometric security is 50%, i.e. p = 0.50.

Hₐ: The proportion of the population believes that passwords should be replaced with biometric security is more than 50%, i.e. p > 0.50.

The information provided is:

$n = 510\\\hat p=0.53$

Compute the test statistic value as follows:

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

$=\frac{0.53-0.50}{\sqrt{\frac{0.50(1-0.50)}{510}}}\\\\=1.354991\\\\\approx 1.35$

The test statistic value is 1.35.

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

$p-value=P(Z>1.35)$

$=1-P(Z$

p-value = 0.088 > α = 0.05.

The null hypothesis will not be rejected at 5% significance level.

Thus, there is not enough evidence to support the claim.

Conclusion:

The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.

7 0

3 years ago

A group of hikers walks 3 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final des

geniusboy [140]

Answer:

The vector that describes their hike from their starting position to their final destination is $\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]$ .

Step-by-step explanation:

In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:

(i) A group of hikers walks 3 miles east and then 1 mile north:

$\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi]$