On a map, the distance between two cities is 2.4 inches. the two cities are actually 768 miles apart. on this same map, what would be the distance between two cities in miles that are 4.8 inches apart on the map?
What is 6.8 rounded to the nearest ones place?
Find the value of x.
The polygons are similar, but not necessarily drawn to scale.
Answer:
[tex]x=10 units[/tex]
Step-by-step explanation:
Given: The polygons ABCD and JKLM are similar.
To find: The value of x.
Solution: Since, the given polygons are similar, therefore using the similarity condition, we have
[tex]\frac{AD}{JM}=\frac{CD}{LM}[/tex]
Substituting the given values, we get
[tex]\frac{12}{40}=\frac{3}{x}[/tex]
On cross multiplying, we get
[tex]\frac{3\times40}{12}=x[/tex]
[tex]x=10 units[/tex]
Therefore, the value of x is 10 units.
Use the table to determine the following probabilities. The probability that a randomly chosen person from this group has type B is . The probability that a randomly chosen person from this group has type AB is . The probability that a randomly chosen person from this group has type B or type AB blood is .
Use the table to determine the following probabilities.
The probability that a randomly chosen person from this group has type B is 3/25
The probability that a randomly chosen person from this group has type AB is 1/25
The probability that a randomly chosen person from this group has type B or type AB blood is 4/25
The probability that a randomly chosen person is:
first person: 3/25
second person: 1/25
third person: 4/25
ProbabilityUse the table to determine the following probabilities.
The probability that a randomly chosen person from this group has type B is 3/25.
The probability that a randomly chosen person from this group has type AB is 1/25.
The probability that a randomly chosen person from this group has type B or type AB blood is 4/25.
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Is the mean value theorem for integrals the same as the mean value thoerem for derivatives?
Answer:
a^2 + b^2 =C^2
Step-by-step explanation:
In the circle below, radius mn = 1.4 m and mlmn = 52°. determine the length of arc ln. round your answer to the nearest tenth and use π = 3.14.
Answer:
1.27 is the answer
Step-by-step explanation:
Calculate cos theta where theta is the angle between u and v
A fair coin is tossed three time sin succession. the set of equally likely outcomes is {hhh,hht,hth,thh,htt,tht,tth,ttt}. find the probabilty of getting exactly zero tails
A bus covered the 400-km distance between points a and b at a certain speed. on the way back the bus traveled at the same speed for 2 hours and then increased the speed by 10 km/hour until it reached a, thus spending 20 fewer minutes on the return trip. how long did the return trip take?
The speed going to B is x, the time t and the distance, 400 km.
xt=400, x kph and t in hours
on the way back, the 2x+(x+10)(t-7/3), where it was total time minus 2 hours already driven minus 1/3 of an hour, the 20 minutes.
2x+xt-(7/3)x+10t-70/3=400
2x+400-(7/3)x+10t-70/3=400, 400 cancels, t=400/x
-(1/3)x+4000/x=70/3
multiply by x
-(1/3)x^2-(70/3)x+4000=0
x^2+70x-12000=0
x=(1/2)(-70+/- sqrt 52900); sqrt term=230
x=80 kph
took 5 hours to go there
on way back 2 hours at 80 kph=160 km
2h40m at 90kph=90*8/3=240 km
They add to 400 km.
The return trip took 4h40m
If you shift the linear parent function, f(x)=x, down 7 units what is the equation of the new function
f(x)=x-7 is indeed the correct answer.just got it right
You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how many slices will you be able to cut?
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Ratios
Ms. Grande brought 24 apples and 18 oranges for a party after a class play. Find the ratio of the number of apples to the total number of fruits Ms. Grande bought.
There are 44 chicken and fish filets altogether in a freezer. There are 12 chicken filets. Which is the ratio of the number of chicken filets to the number of fish filets in the freezer?
There were 12 boys and 18 girls in a class. Then, 3 more boys joined the class and 2 girls left. What is the ratio of the number of boys to the number of girls in the class now?
Monica had $42 and Naomi had $18 at first. Monica then gave $6 to Naomi. What is the ratio of the amount of money Monica has to the amount of money Naomi has in the end?
To find the ratio of the number of apples to the total number of fruits, divide the number of apples by the total number of fruits. Simplify the ratio by dividing both numbers by their greatest common factor. For the ratio of chicken filets to fish filets, divide the number of chicken filets by the total number of filets. Simplify the ratio if possible. To find the ratio of boys to girls, determine the new number of boys and girls after some changes. For the ratio of money, calculate the amounts each person has and simplify the ratio.
Explanation:To find the ratio of the number of apples to the total number of fruits, we divide the number of apples (24) by the total number of fruits (24 apples + 18 oranges = 42). This gives us a ratio of 24:42. We can simplify this ratio by dividing both numbers by their greatest common factor, which is 6. So the simplified ratio is 4:7.
For the second question, we need to find the ratio of the number of chicken filets to the number of fish filets. There are 12 chicken filets and a total of 44 filets in the freezer. So the ratio is 12:44. This can also be simplified by dividing both numbers by 4, giving us a simplified ratio of 3:11.
In the third question, we start with 12 boys and 18 girls. Then, 3 more boys join and 2 girls leave. So the new number of boys is 12 + 3 = 15, and the new number of girls is 18 - 2 = 16. The ratio of boys to girls is therefore 15:16.
In the fourth question, Monica has $42 and Naomi has $18. When Monica gives $6 to Naomi, Monica will have $42 - $6 = $36 left, and Naomi will have $18 + $6 = $24. The ratio of the amount of money Monica has to the amount of money Naomi has is 36:24, which can be simplified to 3:2.
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Find the first six terms of the sequence. a1 = -3, an = 2 ● an-1
students have 40 minuets to complete 50 questions on the aspire ___ test
A) math
B) reading
C) english
D) writing
Answer:
english C)
Step-by-step explanation:
help please, i don't understand it!!!!
geometry question!! 50 POINTS
Answer:
2.74
Step-by-step explanation:
Use double angle to rewrite 12sinxcosx
To rewrite 12sinxcosx using the double angle formula, multiply by (1/2) and use the formula for sin(2x) to obtain the answer of 12sin(2x).
Explanation:To rewrite 12sin(x)cos(x) using the double angle formula, we need to know the formula for sin(2x) and cos(2x). The double angle formula for sine is sin(2x) = 2sin(x)cos(x), and for cosine it is cos(2x) = cos^2(x) - sin^2(x). Let's use these formulas to rewrite the expression:
12sin(x)cos(x) = 12 * (1/2) * 2sin(x)cos(x), since 1/2 is the value of cos^2(x) - sin^2(x).12 * (1/2) * 2sin(x)cos(x) = 6 * 2sin(x)cos(x).6 * 2sin(x)cos(x) = 12sin(2x). This is our final answer, using the double angle formula to rewrite the original expression.Learn more about double angle formula here:https://brainly.com/question/34830073
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Final answer:
The expression 12sinxcosx can be rewritten as 6sin(2x) by using the double angle formula for sine.
Explanation:
The expression 12sinxcosx can be rewritten using the double angle formula for sine, which is sin(2a) = 2sina ⋅ cosa. By comparing this to the given expression, we can see that it is in the form of the right-hand side of the double angle formula, where a is equivalent to x. Therefore, the expression can be rewritten as 6sin(2x). Such double angle formulae are available for other trigonometric ratios as well.
On average, Scott drinks ½ of a 6-ounce glass of water in ⅔ hour. How much water does he drink in an hour?
a) 0.75 ounces b) 2 ounces c) 4.5 ounces d) 9 ounces
What is the surface area of the prism? Include steps.
For what value of a does (1/9)^a+1 = 81^a+1 x 27^2-a?
Answer:
-4
Step-by-step explanation:
Next time use the internet :)
How many solutions are there for the system of equations shown on the graph?
No solution
One solution
Two solutions
Infinitely many solutions
Answer:
D. Infinitely many solutions
Step-by-step explanation:
We have been given an image of two lines on coordinate plane. We are asked to find the number of solutions for our given lines.
Upon looking at our given graph, we can see that both lines are same. Since both lines coincide, therefore, each point on the line will be solution of our given lines.
Therefore, our given lines will have infinitely many solutions and option D is the correct choice.
Simplify i to the power 41
Answer:
It should be just "i"
Write an equation and solve: Twice a number, increased by 3 is 7.
Sara loves to go hiking this weekend she hiked 3 miles on Monday 4 miles on Tuesdays and 3 miles on Thursday .last week Sara hiked 8 miles. How many more miles did Sara hike this week than last week
Answer:
2 miles
Step-by-step explanation:
Sara loves to go hiking.
She hiked 3 miles on Monday 4 miles on Tuesdays and 3 miles on Thursday.
Last week Sara hiked 8 miles
This week sara hiked = Monday + Tuesday + Thursday
= 3 + 4 + 3
= 10 miles
Last week hiked = 8 miles
Difference in two week hiked by Sarah = 10 - 8
= 2 miles
So, Sarah hike 2 miles more than last week.
A piggy bank contains the same number of quarters, nickels, and dimes. the coins total $4.40. how many of each type of coin does the piggy bank contain?
Answer: 11 of each type
Step-by-step explanation:
triston is baking specity bread for the school bake sale. she has 10 1/2 cups of flour. the recipe for 1 loaf of bread calls for 2 1/3 cups of flour. How many whole loaves of bread can she make.
Triston can make 4 whole loaves of bread using her 10 1/2 cups of flour. This was determined by dividing the total flour available by the flour required per loaf. Fractional or partial loaves are not counted.
To determine how many whole loaves of bread Triston can make, we need to perform a simple division of the total amount of flour by the amount required for one loaf.
First, let's convert the mixed numbers to improper fractions:
10 1/2 cups of flour = 21/2 cups of flour2 1/3 cups of flour = 7/3 cups of flourNext, we will divide the total flour by the flour needed per loaf:
(21/2) ÷ (7/3) = (21/2) × (3/7) = (21 × 3) / (2 × 7) = 63/14 = 4.5 loaves
Since we can only make whole loaves, Triston can make 4 whole loaves of bread.
24 inches is 250% of what length
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What is the average rate of change of the function over the interval x = 0 to x = 6? f(x)=2x−1
____
3x+5
In a study of 38% of adults questioned reported that their health was excellent. a researcher wishes to study the health of people living close to a nuclear power plant. find the probability that when 11 adults are randomly selected, at most 3 are in excellent health
The probability that when 12 adults are randomly selected, 3 or fewer are in excellent health is 0.947.
To find the probability that when 12 adults are randomly selected, 3 or fewer are in excellent health, we can use the binomial distribution formula.
The formula for the probability of getting exactly k successes in n trials, with a probability of success p, is:
P(X = k) = (n choose k) * (p^k) * ((1-p)^(n-k))
In this case, n = 12, k = 3, and p = 0.38 (as 38% of adults reported excellent health).
So, the probability that 3 or fewer adults are in excellent health can be calculated as follows:
P(X <= 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
Let's calculate each term:
P(X = 0) = (12 choose 0) * (0.38^0) * (0.62^12) = 0.190P(X = 1) = (12 choose 1) * (0.38^1) * (0.62^11) = 0.342P(X = 2) = (12 choose 2) * (0.38^2) * (0.62^10) = 0.269P(X = 3) = (12 choose 3) * (0.38^3) * (0.62^9) = 0.146Adding up these probabilities:
P(X <= 3) = 0.190 + 0.342 + 0.269 + 0.146 = 0.947
Rounded to three decimal places, the probability that when 12 adults are randomly selected, 3 or fewer are in excellent health is 0.947.
The probable question may be:
In a study, 38% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people living close to a nuclear power plant. Among 12 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 12 adults are randomly selected, 3 or fewer are in excellent health. Round to three decimal places.
The diameter of Jupiter is 88,000 miles This is about 11.1 times the diameter of Earth What is the diameter of the earth