Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. To the nearest foot, How high above the ground the is the helicopter
Find the probability that when a couple has three children, at least one of them is a girl. (Assume that boys and girls are equally likely.)
Final answer:
The probability of having at least one girl when a couple has three children can be found by calculating the probability of having all boys and subtracting it from 1.
Explanation:
Probability that at least one child is a girl:
Find the probability of having all boys: (1/2)³ = 1/8
Subtract this from 1 to get the probability of having at least one girl: 1 - 1/8 = 7/8
What are the coordinates of the vertex of the table? Is it a minimum or a maximum? X Y 0 1 -1 -2 -2 -3
beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years. How much will she pay altogether?
To find the total payment Beth will make on her car loan, calculate the total cost using the loan formula. Beth will pay a total of $19,890 in total.
Explanation:Beth owes $17,000 on her car loan with a 4.25% interest rate, to be paid off over 4 years. To calculate the total amount she will pay, you use the formula for calculating the total cost of a loan: Total Payment = Principal + (Principal x Interest Rate x Time).
Principal = $17,000Interest Rate = 4.25% = 0.0425Time = 4 years.Plugging in the values:
Total Payment = $17,000 + ($17,000 x 0.0425 x 4)
Beth will pay a total of $17,000 + ($17,000 x 0.0425 x 4) = $17,000 + $2890 = $19,890 altogether.
(I will give Brainliest/5 stars to correct answer)
Find a ⋅ b.
a = 7i - 4j, b = 4i + 3j
A) <28, -12>
B) 16
C) -40
D) <11, -1>
Write the equation of the function graphed.
a)f(x) = |x + 4|
b)f(x) = |x – 4|
d)f(x) = |x| + 4
d)f(x) = |x| – 4
caros ran 5.25 miles each day for d days. h ran a total of 157.5 miles. which eqution represents the number of days carlos ran?
Quadrilateral ABCD is inscribed in a circle.
What is the measure of angle A?
Enter your answer in the box.
m∠A= ____°
Answer:
133
Step-by-step explanation:
Given is a cyclic quadrilateral ABCD.
We know that in a cyclic quadrilateral, opposite angles are supplementary.
A+C =180
Given that A = 4x+5 and C = x+15
Add these and equate to 180
[tex]4x+5+x+15 =1805x=180-20 =160x=32A= 4(32)+5 =133[/tex]
Verify:
When x= 32, Angle C = 47
A+C = 133+47 = 180
Hence right answer
if the legs of a right triangle are 8 and 10, find the length of the hypotenuse
Of the four choices given, which two, when written as a system, have a solution of (–4, 5)?
It's A i just took the test.
Solve the equation using square roots. x2 -9=0
Answer: x = 3, x= - 3
Step-by-step explanation:
x^2 - 9 = 0
=> x^2 = 9
=> x = 3, x= - 3
Which of the following is not a way to represent the solution of the inequality 2(x − 2) less than or equal to 2?
A number line with a closed circle on 3 and shading to the right
A number line with a closed circle on 3 and shading to the left
3 greater than or equal to x
x less than or equal to 3
Answer:
The correct option is 1.
Step-by-step explanation:
The given inequality is
[tex]2(x-2)\leq 2[/tex]
Divide both the sides by 2.
[tex]\frac{2(x-2)}{2}\leq \frac{2}{2}[/tex]
[tex](x-2)\leq 1[/tex]
Add 2 on both the sides.
[tex]x-2+2\leq 1+2[/tex]
[tex]x\leq 3[/tex]
The value of x is than or equal to 3. In other words 3 greater than or equal to x.
Since the sign of inequality is ≤, therefore a number line with a closed circle on 3 and shading to the left represent the above inequality.
Only the statement "A number line with a closed circle on 3 and shading to the right" is not is not a way to represent the solution of the given inequality.
Therefore the correct option is 1.
The table below shows the distance d(t) in feet that an object travels in t seconds:
t
(seconds)
d(t)
(feet)
3
126
4
224
5
350
6
504
What is the average rate of change of d(t) between 3 seconds and 5 seconds, and what does it represent?
I need help I would really thank wheeler answers this for me
these are so hard please help me and answer the last 4 I posted
If it's 10 A.M. Eastern Standard Time in New York City, what time is it in Los Angeles? A. 1:00 P.M. B. 9:00 A.M. C. 7:00 A.M D. 12:00 P.M.
Lionel is planning a one-day outing
If John's car gets an average of 18 mpg and he fills his tank with 26.7 gallons of gas, how far can John travel on a tank of gas?
Answer:
480.6 miles.
Step-by-step explanation:
We have been given that John's car gets an average of 18 mpg. John fills his tank with 26.7 gallons of gas.
To find the distance traveled by John's car, we will multiply the distance covered per gallon by number of gallons in the tank.
[tex]\text{Total distance traveled by John's car}=\frac{18\text{ miles}}{\text{gallon}}\times \text{26.7 gallons}[/tex]
[tex]\text{Total distance traveled by John's car}=18\text{ miles}\times 26.7[/tex]
[tex]\text{Total distance traveled by John's car}=480.6\text{ miles}[/tex]
Therefore, John can travel 480.6 miles on a tank of gas.
help help help !!!!!!!!
A total of 60% of the customers of a fast food chain order a hamburger, french fries, and a drink. if a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered?
The probability that 10 or more will show that the above three food items were ordered is 0.403.
What is Binomial Distribution?The binomial distribution summarises the number of trials or observations where each trial has the same chance of achieving a specific value. The binomial distribution indicates the likelihood of observing a given number of successful outcomes in a given number of trials.
Given:
n= 15
p= 0.6
q= 1-0.6= 0.4
r= 10
Now, P(10<=x<=15) = 1 - binomcdf (15,0.6,9) = 0.4032
Then, P (x≥0) = [tex]\sum_{x=0}^n[/tex][tex]^{15}C_{10}(0.6)^{10}(0.4)^{10}[/tex]
= [tex]\sum_{x=0}^{15[/tex] 3003 x (0.0060466176) (x 0.0001048576)
= 0.403
Hence, the probability is 0.403.
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a cookie recipe calls for 2/3 cup of sugar if you have three cups of sugar in your pantry how many batches of cookies can you make
Need Help! I don't get it
Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in 1 hour? (Please give me the equation you used.)
Please help fast!
Final answer:
Samantha can pot 8 plants in 1 hour.
Explanation:
To find out how many plants Samantha can pot in 1 hour, we need to determine how many plants she can pot in 1 1/2 hours and then convert that to 1 hour.
If Samantha can pot 12 plants in 1 1/2 hours, we can set up a proportion to find out how many plants she can pot in 1 hour:
12 plants / 1.5 hours = x plants / 1 hour
To solve for x, we can cross multiply:
12 * 1 = 1.5 * x
12 = 1.5x
To isolate x, divide both sides of the equation by 1.5:
x = 12 / 1.5
Simplifying the equation, we get:
x = 8
Therefore, Samantha can pot 8 plants in 1 hour.
The semicircle shown at left has center X XX and diameter W Z ‾ WZ start overline, W, Z, end overline. The radius X Y ‾ XY start overline, X, Y, end overline of the semicircle has length 2 22. The chord Y Z ‾ YZ start overline, Y, Z, end overline has length 2 22. What is the area of the shaded sector formed by obtuse angle W X Y WXYW, X, Y?
The area of the shaded region is 4π/3 square units.
We have given that x= center diameter =wz w and z end over line radius=2
Triangle XYZ is equilateral,
What is the central angle of equilateral ?
120 degrees
so the central angle of the sector is 120°,
In radian
=120×[tex]\pi[/tex]/180
=2π/3 radians.
The area of a sector of central angle β is given by,
[tex]A = (1/2)r^2(\beta )[/tex] . . . . . . β in radians
[tex]A = (1/2)*2^2*(2\pi /3)[/tex]
= 4π/3 . . . . square units
Therefore the area of the shaded region is 4π/3 square units.
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The length of a rectangle is 5 times the width. If the perimeter is to be greater than or equal to 108 meters. What are the possible values of the width?
The smallest possible value for the width of the rectangle is 9 meters, given that the perimeter must be greater than or equal to 108 meters and the length is 5 times the width.
The question asks for the possible values of the width of a rectangle where the length is 5 times the width and the perimeter is greater than or equal to 108 meters.
Step-by-step explanation:
Let's call the width of the rectangle w. The length is then 5w. The perimeter P of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width.
In this case, P = 2(5w) + 2w = 10w + 2w = 12w. Now, we know that P >= 108, so 12w >= 108.
To find the smallest value for w, we divide both sides by 12: w >= 9. Thus, the width of the rectangle must be at least 9 meters.
If two chords are the same distance from the center of a circle, then they are _____________.
a. parallel
b. congruent
c. perpendicular
Answer: Congruent
Step-by-step explanation:
If two chords are the same distance from the center of a circle, then they are congruent, the correct option is B.
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]
(|AB| denotes length of line segment AB, and so on for others).
We are given that;
The distance between the chords is same
Now,
According to 1 and 2, if two chords are the same distance from the center of a circle, then they are congruent. This means they have the same length and subtend equal angles at the center.
Therefore, the answer will be congruent.
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This picture shows a feeding trough that is shaped like a right prism 5,4,6. list each face of the feeding trough . What is the surface area of the trough?
Please help
Answer:
Step-by-step explanation:
20-3(m-1)=-4 What is m??
the sum of the real numbers x and y is 15. their difference is 3. what is the value of xy?
The value of xy is such that the sum of the real numbers x and y is 15 and their difference is 3 is 54.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Given that sum of the x and y is 15
So,
x + y = 15
And difference
x - y = 3
By adding both equations,
2x = 18
x = 9 and y = 6
So their product 9 × 6 = 54.
Hence "The value of xy is such that the sum of the real numbers x and y is 15 and their difference is 3 is 54".
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Find the sum of 5 smallest consecutive whole numbers.
0+1+2+3+4= 10
that is the answer
Answer:
10
Step-by-step explanation: