Answer:
(a) 64°
(b) Yes, the ladder will be safe the ingredients will be used.
Step-by-step explanation:
(a) Trigonometric function of Sine is the appropriate formula to use to solve this question. The formula is given as:
sin θ = Opposite/Hypotenuse
θ = Angle formed with the ground = ?
Opposite = 27 ft
Hypotenuse = 30 ft
Hence,
sin θ = 27 /30
θ = arc sin (27/30)
θ = 64.158067237°
Approximately to the nearest whole number = 64°
(b) From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°
64° is less than 70=
64° < 70°
Hence, the ladder will be safe the way it is positioned.
The parabola below is a graph of the equation y = (x - 1)2 - 3. Which point will
satisfy the inequality y <(x - 1)2 - 3 ?
(1.-3)
O A. (2,5)
O B. (0,5)
O C. (1,0)
OD. (5,-3)
Answer:
A. (2,5)
Step-by-step explanation:
PLEASE DONT SEND LINKS OR I WILL REPORT! Emily buys meat for a charity event in her community. Chicken costs 4 AED per kg and beef burger 3 AED per kg. How much will she spend on 3.6 kg of chicken and 2.2 kg of beef burger?
Answer:
21 AED
Step-by-step explanation:
W know the cost of each kind of meat
Chicken = 4 AED
Beef = 3 AED
We also know how much of each we will be buying
Chicken = 3.6 kg
Beef = 2.2 kg
Multiply each price of meat by its respective weight, then add the products together for you final answer.
4(3.6) + 3(2.2) = 21
Evaluate the expression for b = 7
6b + 8 – 5b
Answer:
For b = 7, the expression equals 15.
Step-by-step explanation:
6b + 8 - 5b
Substitute the variable b = 7.
6(7) + 8 - 5(7)
Multiply.
42 + 8 - 35
Add.
50 - 35
Subtract.
15.
Answer:
15
Step-by-step explanation:
6 × 7 = 42
5 × 7 = 35
42 + 8 - 35 = 15
Round each number to the nearest thousand.
6,029
6,000
8,104
2,90
4,978
978
1,032
Answer:
6.029
6
8.104
2.9 or .29
4.978
.978
1.032
Step-by-step explanation:
Answer:
6029=6000
6000=600
8104=8000
290=0
4978=5000
978=1000
1032=1000
Lyndy conducted a survey of the 300 students in her school. She found that 60 students own dogs, while only 30 students own cats. What percent of the students own cats?
give me direct answer
Answer:
390
Step-by-step explanation:
u add all together
A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8. Answer the following questions using integer values.
(a) What score do 25% of the students exam scores fall below?
And, the professor decides to grade on a curve. If he wants .15% of the students to get an A, what is the minimum score required.
I have tried a "calculator" I found online and the answers it provided gave me 50% credit and I don't know which answer is correct as I don't know how to do the actual calculation.
I would appreciate referral to any valid resources as it has been many, many years since I took a math class.
(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?
Answer:
a) 25% of the students exam scores fall below 55.6.
b) The minimum score for an A is 84.68.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 61 and a standard deviation of 8.
This means that [tex]\mu = 61, \sigma = 8[/tex]
(a) What score do 25% of the students exam scores fall below?
Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 61}{8}[/tex]
[tex]X - 61 = -0.675*8[/tex]
[tex]X = 55.6[/tex]
25% of the students exam scores fall below 55.6.
(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?
This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.96 = \frac{X - 61}{8}[/tex]
[tex]X - 61 = 2.96*8[/tex]
[tex]X = 84.68[/tex]
The minimum score for an A is 84.68.
Find the area of the circle to the nearest tenth.
Answer:
the answer is 9.
АB=
Round your answer to the nearest hundredth.
9514 1404 393
Answer:
4.41
Step-by-step explanation:
The sides of interest in this right triangle are the hypotenuse and the side adjacent to the given angle. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(25°) = 4/AB
Multiplying by AB and dividing by cos(25°), we get ...
AB = 4/cos(25°)
AB ≈ 4.41 . . . . units
Ronald runs 6,000 meters in 2 hours. He is thinking of running an 18 kilometers race. How much time will he take in the race if he maintains the same speed?
Answer:
6 hours
Step-by-step explanation:
speed = distance/ time
6000meters to km = 6000/1000= 6km
speed for the first race = 6/2
speed = 3km/hr
for the second race
speed = distance/time
3 = 18/time
cross multiply
3* t = 18
divide both sides by 3
t = 18/3
t = 6 hours
Answer:
Ronald will take 6 hours to complete the 18 km race if he maintains this speed.
Step-by-step explanation:
6000m in 2h = 6km in 2h
multiply by 3:
18km in 6h
Have a nice day!
What is the range of y = -3sin(x)?
THE ANSWER
B) -3 (less than or equal to) y (less than or equal to) 3
Answer:
its b
Step-by-step explanation:
the man said so
Answer:
b
Step-by-step explanation:
Susan has 3 pairs of shorts, 5 shirts, and 2 pairs of shoes to take to camp. If she wears a pair of shorts, a shirt and pair of shoes each day, how many different outfit combinations does Susan have to choose from?
Answer:
30
Step-by-step explanation:
Noah picks a card at random from a stack that has cards numbered 5 through 20. List the sample space and tell how many outcomes there are.
Answer:
6
Step-by-step explanation:
6
A recent survey showed that among 725 randomly selected subjects who completed 4 years of college, 139 smoke and 586 do not smoke. Determine a 95% confidence interval for the true proportion of the given population that smokes.
Answer:
The 95% confidence interval for the true proportion of the given population that smokes is (0.1630, 0.2204).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
Sample of 725, 139 smoke:
This means that [tex]n = 725, \pi = \frac{139}{725} = 0.1917[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1917 - 1.96\sqrt{\frac{0.1917*0.8083}{725}} = 0.1630[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1917 + 1.96\sqrt{\frac{0.1917*0.8083}{725}} = 0.2204[/tex]
The 95% confidence interval for the true proportion of the given population that smokes is (0.1630, 0.2204).
right triangle with x, 29, and 18 degrees
Answer:
we can't answer this bc u dont show which side is whicj
Step-by-step explanation:
but u need to use sin, cos, or tan
find the ratio for Tan C
Answer:
D
Step-by-step explanation:
TAN is opposite/adjacent
15/8
Help! Can anyone help? It’s not 3,850 :( and I don’t know what to do,,, I’ll give Brainly!!
Answer:
tax $ 3400
Step-by-step explanation:
[tex]\left\begin{array}{ccc}10,000&3&300\\40,0000&5&2000\\20,000&5.5&1100\end{array}\right[/tex]
so, tax= $= 3400
----------------------------
hope it helps...
have a great day!!
Nine less than the product of a number n and 1/4 is no more than 93
Answer:
n < 408
Step-by-step explanation:
(n/4) - 9 < 93
n - 36 < 372
n < 372 + 36
n < 408
Correct me if I'm wrong. I hope it helps
A new bank customer with $5,000 wants to open a money market account. The bank is offering a simple interest rate of 1.4%. a. How much interest will the customer earn in 10 years? b. What will the account balance be after 10 years?
Answer:
2,745
Step-by-step explanation:
Answers:
a. The customer will earn $700 after 10 years.
b. The bank balance will be $5,700 after 10 years,
Please answer CORRECTLY for brainliest guarantee. If your answer is not correct or does not have a explanation I will report you!
Answer:
c. 45.34ft
Step-by-step explanation:
When leg one of the triangle is 15ft and leg two is 17 ft you would take 17^2 + 15^2 and then you find the square root of that (514) to get the hypotenuse of the triangle. After that you multiply by two to account for the 2/2 sqaure foot per each unit
2(x + 1) > 10
Help pleaseeeeeeee
Answer:
x > 4
Step-by-step explanation:
2(x + 1) > 10
x + 1 > 5
x > 4
Which of the following is equivalent to ^5sqrt13^3
Answer:
The last one 13^3/5
Step-by-step explanation:
13^3/5
can anyone please help me with this I am struggling
Answer:
B, D
Step-by-step explanation:
for it to be symmetrical, you have to rotate it so it matches the other triangle.
the following box plot shows the number of years during which 20 schools have participated in an inter-school swimming meet at least how many schools have participated for 6 years or more?
A: 4
B: 5
C: 10
D: 11
Answer:
4 schools
Step-by-step explanation:
Based on the box plot you have given above, the answer would be 20% of the total schools participated for 6 years or more. This is because the part of the box plot wherein it hits 6 years and above is 20%. Thus, if there are 20 schools, then the 20% of it would be 4. In conclusion, there are 4 schools that participated for 6 years or more.
(3x^2+2y^2+3xy)-(x^2+y^2+2xy)
Answer:
6x+4y+3xy-2x+2y+2xy
4x+2y+xy
this is the answer
Step-by-step explanation:
4x+2y+xy answer
hope this will help you
Help ASAP I’ll mark branliest
Answer:
<COD and <DOB
Step-by-step explanation:
Complimentary angles add to 90. The two angles that make up the marked right angle are <COD and <DOB
NO LINKS OR FILES
mFill in the y values of the t-table for the function y=3Vx
Answer:
1
Step-by-step explanation:
https://brainly.com/question/23396982?answering=true&answeringSource=greatJob%2FquestionPage%2F1
The sides of a quadrilateral are in ratio 1:2:3:4 if the perimeter is 40cm. find the length of each sides
Sketch one cycle of y = 2 sin q.
Answer:
See graph
Step-by-step explanation:
The red graph is y = 2 sin x where the blue section represents one cycle where 0≤∅≤2π where ∅ is measured in radians.
.
8
10
12
14
16
Girls
8
10
12
14
16
Boys
What is the difference between the medians for the two data sets?
O tickets
0 2 tickets
4 tickets
O 6 tickets
Please help me! No links
Two transformations are performed on a figure on a coordinate plane. The first transformation is a translation 8 units to the left. Which second transformation will result in an image that is similar to, but not congruent to, the original figure?
A: A clockwise rotation of 90° about the center.
B: A clockwise rotation of 180° about the center.
C: A dilation by a scale factor of 1 with the origin as the center of dilation.
D: A dilation by a scale factor of 1/2 with the origin as the center of dilation.