The National Center for Health Statistics reported that of every 1,008 deaths in recent years, 34 resulted from an automobile accident, 202 from cancer, and 358 from heart disease. What is the probability that a particular death is due to an automobile accident

The triangles XYZ and ABC are congruent by SAS postulate.

Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.

Given two triangles XYZ and ABC.

If the two triangles are congruent, their corresponding sides and angles must be equal.

Given,

∠Y = ∠B

XY ≅ AB

YZ ≅ BC

SAS congruence theorem states that if two sides and an included angle of a triangle is equal to corresponding two sides and an included angle of the other triangle, then they are congruent.

So, ΔXYZ ≅ ΔABC by SAS postulate.

Hence the two triangles are congruent by SAS postulate.

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Answer: 42 Units Cubed

Step-by-step explanation:

Volume of a Prism is typically length * width * height

in the problem the 5 and 1/4 is the area of that base so it is is the height and width already multiplied

so now just multiply the length, which is 8, to the area of the base to find the volume

[tex]8*5\frac{1}{4} \\8*\frac{21}{4} \\2*21\\42[/tex]

Answer:

[tex]volume \: = cross sectional \: area \times height \\ = 5 \ \frac{1}{4} units {}^{3} \times 8units \\ = \frac{21}{4} \times 8 \ \\ = 42units {}^{3} [/tex]

Answer:

45/4     7/2     9/2

Step-by-step explanation:

I'm not sure if this is what you wanted so if its not sorry.

Answer:

B

Step-by-step explanation:

Answer:

The 2nd option is correct

Step-by-step explanation:

The only numbers on a dice greater than 4 are 5 and 6, and we want to get the color blue, so the 2nd option is correct.

Answer:

Imma have to say B but I'm not sure

Answer:

2.5

Step-by-step explanation:

Answer:

5 + x = 7.5

x = 7.5 - 5

x = 2.5

Step-by-step explanation:

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Answer: The answer is 0.38

Step-by-step explanation:

Well, everything is given, as stated in the question "the probability that a student is a girl and in an art class is 0.20."

It's given that the probability that a student is a girl is 0.52.

However, in the question, it said that it's given a student is a girl.

You have the probability that a student is a girl and in art class, so you need to find what 0.52 was multiplied by which would be the probability of someone being in art class. Knowing this you can do 0.20 / 0.52 to get 0.38.

Answer:

B. 4x+y=12

Step-by-step explanation:

You can either graph them or solve each one for x then identify the one with an equal slope and y-intercept of 12.

Answer:

Step-by-step explanation:

The population of bacteria in the culture after 7 hours is approximately 883.

Several real-world phenomena, including population expansion, radioactive decay, compound interest, and the spread of diseases, are modeled using exponential functions. In calculus, where they are used to define the exponential and logarithmic functions—essential ideas in calculus and other fields of mathematics—they also play a significant role.

Using the formula [tex]P_t = P_0 \times 2^{\frac{t}{d}}[/tex], where P_t is the population after t hours, P₀ is the initial population, t is the time in hours and d is the doubling time, we can find the population of bacteria in the culture after 7 hours as follows:

Since the initial population is 470, we have P₀ = 470.

The doubling time is 8 hours, so we have d = 8.

Substituting these values into the formula, we get:

[tex]P_7 = 470 \times 2^{\frac{7}{8}}[/tex]

P₇≈ 882.77

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Answer:

I DONT KNOW  THE ANSWER

Step-by-step explanation:

Hello here would be your answers:

mean: 13.6  

mediun: 15.5  

mode: 16

remember it like this

Mean is the average

Mode is the most often number

Range is when you subtract the smallest number from the largest number

Medium is the middle number when you line it up from the greatest to the least.

hope this helps!

Answer:

x^2 - 3x - 28

Step-by-step explanation:

(x+4)(x-7)

x^2-7x+4x-28

[tex]x^{2}-3x-28[/tex]

Answer:

3/16

Step-by-step explanation:

5 blue, 6 red, 3 black, and 2 yellow

total number of marbles = 5 + 6 + 3 + 2 = 16

p(black) = (number of black marbles)/(total number of marbles)

p(black) = 3/16

Answer: 3/16

Answer:

3/16

Step-by-step explanation:

add up all of the marbles then find out how many black marbles you have. Then you end up with 3/16

Answer:

Solution given:

<ABC and <QRS are supplementary angles.

<ABC = 91°

we have

<ABC +<QRS=180°[supplementary]

<QRS=180°-91°=89°

m<QRS=89°

Answer:

your answer is "17.6666666667"

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

Hi how are you doing today Jasmine

Answer:

60

Step-by-step explanation:

This is 4x15.

60 Burgers.

Answer:

142

Step-by-step explanation:

180-10-28 = 142

hope this helps

Answer:

∡3=142°

Step-by-step explanation:

∠3 and 38° are supplementary angles, which means their sum must equal 180°, therefore, we make an equation and solve for ∡3:

∠3+38°=180°

∡3=142°

So ∡3=142°

Answer:

Can i get an image of thw question please?

Step-by-step explanation:

North

The northern soil and climate favored smaller farmsteads rather than large plantations. Industry flourished, fueled by more abundant natural resources than in the South, and many large cities were established (New York was the largest city with more than 800,000 inhabitants). By 1860, one quarter of all Northerners lived in urban areas. Between 1800 and 1860, the percentage of laborers working in agricultural pursuits dropped drastically from 70% to only 40%. Slavery had died out, replaced in the cities and factories by immigrant labor from Europe. In fact an overwhelming majority of immigrants, seven out of every eight, settled in the North rather than the South. Transportation was easier in the North, which boasted more than two-thirds of the railroad tracks in the country and the economy was on an upswing.

Far more Northerners than Southerners belonged to the Whig/Republican political party and they were far more likely to have careers in business, medicine, or education. In fact, an engineer was six times as likely to be from the North as from the South. Northern children were slightly more prone to attend school than Southern children.

South

The fertile soil and warm climate of the South made it ideal for large-scale farms and crops like tobacco and cotton. Because agriculture was so profitable few Southerners saw a need for industrial development. Eighty percent of the labor force worked on the farm. Although two-thirds of Southerners owned no slaves at all, by 1860 the South's "peculiar institution" was inextricably tied to the region's economy and culture. In fact, there were almost as many blacks - but slaves and free - in the South as there were whites (4 million blacks and 5.5 million whites). There were no large cities aside from New Orleans, and most of the ones that did exist were located on rivers and coasts as shipping ports to send agricultural produce to European or Northern destinations.

Only one-tenth of Southerners lived in urban areas and transportation between cities was difficult, except by water.  Only 35% of the nation's train tracks were located in the South. Also, in 1860, the South's agricultural economy was beginning to stall while the Northern manufacturers were experiencing a boom.

A slightly smaller percentage of white Southerners were literate than their Northern counterparts, and Southern children tended to spend less time in school. As adults, Southern men tended to belong to the Democratic political party and gravitated toward military careers as well as agriculture.

Answer:

true

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

A right angled triangle has a 90 degree angle and two other sides that sum up to 90 degrees. this makes the sum of angles 180 degrees  

Answer:

45 ways

Step-by-step explanation:

5*3*3 = 45

Answer:

45

Step-by-step explanation:

5*3*3

5*3=15

15*3=45

Answer:

The hight written in digital is 14286