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2 years ago

Find the unknown side lengths

Mathematics

2 answers:

miss Akunina [59]2 years ago

8 0

Answer:

x = 26

Step-by-step explanation:

use the Pythagorean theorem

${a}^{2} + {b}^{2} = {c}^{2}$

${10}^{2} + {24}^{2} = {c}^{2}$

$= 676 = {c}^{2}$

$c = \sqrt{676}$

c = 26

GrogVix [38]2 years ago

4 0

Step-by-step explanation:

h = x

p = 10

b = 24

using pythagorean theorem

h² = p² + b²

h² = 10² + 24²

h² = 676

h = 26

thus , x = 26

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Slope and the intercept

Pie

Answer:

y-intercept: (0, 3) slope: 3

Step-by-step explanation:

7 0

3 years ago

At Ersatz University, the graduating class of 480 includes 96 guest students from Latvia. A sample of 10 students is selected at

grandymaker [24]

Answer:

A).3222

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are from Latvia, or they are not. We are choosing students without replacement. However, since the sample size is large, we can use the binomial distribution to approximate the hypergeometric distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

480 students, of which 96 are from Latvia:

This means that $p = \frac{96}{480} = 0.2$

Sample of 10 students:

This means that $n = 10$

Probability that the sample contains at least three Latvian students.

Either there are less than three students from Latvia, or there are at least three. The sum of the probabilities of these events is 1. So

$P(X < 3) + P(X \geq 3) = 1$

We want $P(X \geq 3) = 1 - P(X < 3)$ , in which:

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

$P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684$

$P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2648 + 0.3020 = 0.6742$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6742 = 0.3258$

The closest option is A.

4 0

2 years ago

Luis plans to purchase some new baseball bats and gloves before spring training begins. Luis wants to buy the same bats and glov

hram777 [196]

Answer:

Luis will pay for three gloves and four bats = $ 270

Step-by-step explanation:

Let the bats be represented by b and gloves by g, then according to the given conditions

3b+ g= $135----equation 1

b+ 2g= $135------equation 2

Subtracting equation 2 from eq. 1 gives

3b+ g= $135----equation 1

<u>-b -2g= -$135------equation 2</u>

<u>2b -g = 0 --------- equation3</u>

2b-g= 0

or 2b= g------ equation4

This means price of 2 bats is equal to price of 1 glove.

Putting value of g in eq. 1 from eq. 4

3b+ 2b= $ 135

5b= $135

b= 135/5= 27

Price of 1 bat = $ 27 and price of 1 glove= 2*27= $54

Luis will pay for three gloves and four bats

= 54*3 + 4*27

= 162+ 108

= $ 270

8 0

2 years ago

Andre bought a new bag of cat food. The next day, he opened it to his cat. The graph shows how many ounces was left in the bag o

Viktor [21]

Answer:

There were 16 ounces of Cat Food after 24 days.

Step-by-step explanation:

From the graph attached,

For an ordered pair (x, y) lying on the graph,

x-coordinate represents the number of days since bag was bought and y- coordinate represents the ounces of cat food required.

Now the value x = 24 on x-axis shows the number of days since the bag was bought.

For x = 24, ounces of cat food in the bag ( y ) = 16 ounce

Therefore, 16 ounces of Cat Food were in the bag after 24 days since it was bought.

7 0

3 years ago

Which of the following statements is true ? a. 0÷15=0 b. 15-0=0 c.15+0=0 d.15÷0=0

max2010maxim [7]

A, because you if you try to divide 0 into 15 parts you get 0

4 0

2 years ago

Read 2 more answers