9514 1404 393
Answer:
(a) 63.4 degrees
Step-by-step explanation:
Any of the trig relations can be used. Since the picture cuts off the value of the hypotenuse, we choose to use the adjacent and opposite sides.
Tan = Opposite/Adjacent
tan(L) = 6/3 = 2
L = arctan(2)
∠L ≈ 63.4°
__
Your calculator can do this, too. Be sure the mode is set to "degrees."
A recent survey reported that small businesses spend 24 hours a week marketing their business. A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing. The chamber conducts a survey of 88 small businesses within their state and finds that the average amount of time spent on marketing is 23.2 hours a week. Assuming that the population standard deviation is 4.2 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.05 level of significance?
Step 1 of 3:
State the null and alternative hypotheses for the test. Fill in the blank below. H0Ha: μ=24: μ⎯⎯⎯⎯⎯⎯⎯⎯24
Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
Step 3 of 3: Draw a conclusion and interpret the decision.
Answer:
Following are the responses to the given choices:
Step-by-step explanation:
In step 1:
State the zero and alternate test hypotheses. Insert underneath.
[tex]H_0 : \mu = 24: H_a : \mu < 24[/tex]
[tex]H_0[/tex] Smaller companies in their region are and they spend at least 24 hours per week on the marketing of the these companies
[tex]H_1[/tex] There really is no growth for smaller firms in their area because the companies spend or less 24 hours per week on marketing.
In step 2:
Each test statistics meaning is calculated. Around two decimal places for your reply.
[tex]z=\frac{\bar{X}-\mu_{0}}{\frac{\sigma}{\sqrt{n}}}=\frac{23.2-24}{\frac{4.2}{\sqrt{88}}}=-1.787[/tex]
In step 3:
Draw a start and write the decision.
Since it is observed that [tex]z=-1.787 < z_c=-1.64[/tex] it is then concluded that the null hypothesis is rejected.
Consequently we consider that small companies in their field may not expand, as they spend or less 24 hours per week on marketing.
The roof pictured below has a rise of 10 feet and a run of 15 feet.
Run = 15 feet
Rise = 10 feet
-
What is its slope?
The slope of the considered roof which has a rise of 10 feet and a run of 15 feet is 2/3
How to find the slope?Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increament in the run.
Thus, we get:
Slope = rise/ run
For this case, we're specified that:
The rise in roof = 10 ft and the run of 15 ft.
Thus, we get:
Slope = rise / run = 10/15 = [tex]\dfrac{5 \times 2}{5 \times 3} = \dfrac{2}{3}[/tex]
Thus, the slope of the considered roof which has a rise of 10 feet and a run of 15 feet is 2/3
Learn more about slope here:
https://brainly.com/question/2503591
Under her cell phone plan, Savannah pays a flat cost of $37.50 per month and $3 per
gigabyte. She wants to keep her bill at $51.90 per month. Which equation or tape
diagram could be used to represent the context if g represents the number of
gigabytes of data Savannah can use while staying within her budget?
Answer:
(51.90 - 37.50) / 3 = G
14.40 / 3 = G
4.8 = G
Savannah will be able to use 4 gigabytes to stay within her budget.
Step-by-step explanation:
Given that under her cell phone plan, Savannah pays a flat cost of $ 37.50 per month and $ 3 per gigabyte, and she wants to keep her bill at $ 51.90 per month, to determine which equation or tape diagram could be used to represent the context if g represents the number of gigabytes of data Savannah can use while staying within her budget, the following calculation should be performed:
(51.90 - 37.50) / 3 = G
14.40 / 3 = G
4.8 = G
Therefore, Savannah will be able to use 4 gigabytes to stay within her budget.
Find the measures of the numbered angles in each kite.
Answer:
1 = 20°
2 = 90°
3 = 70°
4 = 55°
Please help my little brother!!!!
Answer:
H
Step-by-step explanation:
Answer:
H. 3.9
Step-by-step explanation:
5.6 - 1.7 = 3.9
NEED HELP ASAP FREE BRAINLIST
Answer:
D). 10699
Step-by-step explanation:
D is right the math is hard to explain.
what is the percentage of 750ml of 2 litres
Answer: 75%
Step-by-step explanation:
We convert 2 litres into 1000ml which leaves us with:
750/1000 x 100 = 75%
Answer:
37.5%
Step-by-step explanation:
as a percentage it is (750 * 100)/2000
= 750 / 20
= 75/2
= 37.5%.
plsss help me and I will mark u as brainliest plssss help
Answer:
In my sketch the angle between their flights is 135°
So wouldn't we just have the cosine law??
Step-by-step explanation:
x^2 = 120^2 + 150^2 - 2(120)(150)cos135°
carry on, take care with the cos135, since it will be negative
Evaluate 79-4*6+12/3
Answer:
59 (the answer should have a positive sign.)Step-by-step explanation:
To solve this problem, you have to solve with order of operations.
Order of operations stands for:
PEMDAS
Parentheses
Exponents
Multiply
Divide
Add
Subtract
Do multiply.
79-4*6+12/3
4*6=24
Rewrite the problem down.
79-24+12/3
Divide.
12/3=4
79-24+4
Add and subtract.
79-24=55
55+4
55+4=59
[tex]\sf\boxed{59}[/tex]
As a result, the final answer is 59.
use the Pythagorean theorem to find the distance between (-5,2) and (10,10)
D^2 = (x2-x1)^2 + (y2-y1)^2
D =sqrt((10+5)^2 + (10-2)^2)
D P SQRT(15^2 + 8^2)
D = sqrt(225 +64)
D= sqrt(289)
D = 17
The distance is 17
Find the decimal number halfway between the following decimal number 0.7 and 0.5
Answer:
0.6?
Step-by-step explanation:
confused by the question but thats the middle decimal..
pls it's due today.
Miguel cuts a square with 5 inch sides out of a circle with a 12 inch diameter. Find the area of the remaing piece of the nearest tenth. Show all work
Answer:
[tex]31 \times \frac{52}{24x6} [/tex]
Find the value of x and the measure of the angle labeled 3X°. 27° O A. x = 15; angle measure is 45°. OB. X = 9; angle measure is 27º. O c. x = 15; angle measure is 27°. D. X = 9; angle measure is 45°
Answer:
B. x=9, angle measure is 27 .
Step-by-step explanation:
sol :-
72 - 45 = 27
or 3x and 27° are the vertically opposite angles.
so :-
3x = 27
then : x = 27÷3
X= 9
una escuela debe transportar 200 estudiantes
Answer: a school must transport 200 students
Step-by-step explanation:
At a certain university, the average attendance at basketball games has been 3125. Due to the dismal showing of the team this year, the attendance for the first 9 games has averaged only 2915 with a standard deviation of 585. The athletic director claims that the attendance is the same as last year. What is the test statistic needed to evaluate the claim
Answer:
The test statistic needed to evaluate the claim is t = -1.08.
Step-by-step explanation:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the expected value of the mean, s is the standard deviation of the sample and n is the size of the sample.
At a certain university, the average attendance at basketball games has been 3125. The athletic director claims that the attendance is the same as last year.
This means that [tex]\mu = 3125[/tex]
Due to the dismal showing of the team this year, the attendance for the first 9 games has averaged only 2915 with a standard deviation of 585.
This means that [tex]n = 9, X = 2915, s = 585[/tex]
What is the test statistic needed to evaluate the claim?
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{2915 - 3125}{\frac{585}{\sqrt{9}}}[/tex]
[tex]t = -1.08[/tex]
The test statistic needed to evaluate the claim is t = -1.08.
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
10x+2y=64
3x - 4y = -36
O A. (4, 12)
B. (2,10)
o
C. (-5,8)
O D. (-3, 11)
9514 1404 393
Answer:
A. (4, 12)
Step-by-step explanation:
Adding the second equation to twice the first will eliminate y.
2(10x +2y) +(3x -4y) = 2(64) +(-36)
23x = 92 . . . . . . . . simplify
x = 4 . . . . . . . . . divide by 23
This value matches choice A: (4, 12).
What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
7.51 cm2
8.6251 cm2
o
10.5 cm
19.551 cm2
Answer: SA≈27.1.
The formula is SA=2πrh+2πr2.
The radius is 0.75 since 1.5 divided by 2=0.75.
Plug it in.
Please help on both questions. I would appreciate it.
Answer:
first one is 4.5 second one is 45
Step-by-step explanation:
What is the answer to this pls help
Step-by-step explanation:
Circumference is 6π = 18.85 in
if you were looking for area
9π = 28.27 in
Answer:
18.85 would be your answer sorry I was so late
Step-by-step explanation:
Which one of the following is an equation?
O 3m + 2
3m
2
3m +2 = 11
Answer:
3m+2=11
Step-by-step explanation:
Because equation is joined with equal sign
Donut $2.50
Cupcake $4.25
Ice cream $3.80
I need help finding the equation
mean of 500 with a standard deviation of 100. What is the probability that a randomly selected score lies between 500 to 700?
Answer: 99.7% of data will fall within 3 standard deviations of the mean. The mean is 500 and the standard deviation is 100. ... Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean: 95/2 = 47.5%, or 0.475.:
Step-by-step explanation:
How much will you pay for an item that is $13.35 on sale for 30% off?
$4.005
$9.33
$9.35
$10.35
Answer:
$9.35
Step-by-step explanation:
Find the sale price by multiplying 13.35 by 0.7, since this will be 70% of the original price
13.35(0.7)
= 9.345
This rounds to approximately 9.35
So, you will pay $9.35
Answer:
9.35 would be the answer!
Step-by-step explanation:
i would really appreciate a brainliest if this helped! <3
a rectangle has a perimeter of 6 feet .choose all possible dimensions
Options aren't given in the question. However a concise explanation will be given.
Answer:
Length = 1 ; width = 2 and vice versa
Length = 0.5 ; width = 2.5 and vice versa
Step-by-step explanation:
The perimeter of a rectangle is obtained using the formular :
Perimeter = 2(length + Width)
Hence the sum of the length and width of the rectangle multiplied by 2 should give 6
Hence, possible dimension will. Include :
A dimension whereby the sum of length and width gives 3
Length = 1 ; width = 2 and vice versa
Length = 0.5 ; width = 2.5 and vice versa
These are possible dimension of the rectangle which has a perimeter of 6
A company estimates that 0.1% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $350. If they offer a 2 year extended warranty for $28, what is the company's expected value of each warranty sold?
Answer:
The expected gain per warranty is $27.65, crazy stuff
Step-by-step explanation:
If the estimate is right, there is a 0.1% probability for each extended warranty that the company has to shell out $350 (we disregard the situation where the replacement fails too, because there is no info that lets us deal with that).
This brings us to cost for the company equal to 0.1%*$350 per warranty sold.
0.1%*$350 = 0.001*$350 = $0.35
And the company gets $28 for each warranty sold, hence they earn
$28 - $0.35 = $27.65
on average.
11r + 7s written form plz i need help
Answer:
eleven r plus seven s
Step-by-step explanation:
thats the written form
I need help. Please help
Answer:
150 degrees
Step-by-step explanation:
Answer:
You need 180 degrees for a triangle so, you subtract 150 from 180.
You get 30 degrees.
Then, you subtract 30 from 180 in order to find the degree of x.
The number for x is: 150 degrees
I hope this helps ! :)
Step-by-step explanation:
For which color is the difference between the theorectical probability and experimental probability greatest?
A.
Brown; The experimental probability is 19.52%, and the theoretical probability is 25%.
B.
Orange; The experimental probability is 18.9%, and the theoretical probability is 15%.
C.
Yellow; The experimental probability is 16.96%, and the theoretical probability is 20%.
D.
Green; The experimental probability is 22.7%, and the theoretical probability is 15%.
Answer:
The answer is D. Green; The experimental probability is 22.7%, and the theoretical probability is 15%.
An empty swimming pool is to be filled to the top. The pool is shaped like a rectangular prism with length 12 m, width 8 m, and depth 4 m.
Suppose water is pumped into the pool at a rate of 24 m per hour. How many hours does it take to fill the empty pool? (NO LINKS , links will get you reported / booted
Answer:
16 hours
Step-by-step explanation:
first find the volume if the pool 12x8x4=384 then divide by how many meters per hour 384÷24=16
Two traffic lights operate independently. Your probability of being stopped at the first one is 0.4 and your probability of being stopped at the second one is 0.7. The probability at being stopped at the first light and second light is 0.3. What is your probability of being stopped at the first light or second light?Make sure to show your work. NEED HELP ASAP. The correct answer was .8 I just don't know how. Thank you.
Answer:
0.54 or 54%
Step-by-step explanation:
P( 1st but not second) = P(1st) - P(1st and Second) = 0.4 - 0.28 = 0.12 = 12%
P( 2nd but not first) = P(2nd) - P(1st and Second) = 0.7 - 0.28 = 0.42 = 42%
Probability of 1 of them (exactly one) = P( 1st but not second) + P( 2nd but not first) = 0.12 (12%) + 0.42 (42%) = 0.54 or also 54%.
Hope this helps!