The total length of a beach is 14.4 kilometers. If lifeguards are stationed every 0.06 kilometers, including one at the end of the beach, how many lifeguards will there be on the beach?
Answer:
240
Step-by-step explanation:
Divide 14.4 by 0.06, as the total distance is 14.4 kilometers and lifeguards are stationed every 0.06 kilometers.
Use the given information to find the minimum sample size required to estimate an unknown population mean μ.
How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confidence that the sample mean is within $4 of the population mean, and the population standard deviation is known to be $25.
Answer:
151 students must be selected.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The population standard deviation is known to be $25.
This means that [tex]\sigma = 25[/tex]
How many students must be randomly selected to estimate the mean weekly earnings of students at one college? Sample mean within $4 of the population mean
This is n for which M = 4. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4 = 1.96\frac{25}{\sqrt{n}}[/tex]
[tex]4\sqrt{n} = 1.96*25[/tex]
[tex]\sqrt{n} = \frac{1.96*25}{4}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*25}{4})^2[/tex]
[tex]n = 150.1[/tex]
Rounding up:
151 students must be selected.
6. Side AC = 10 in; Side BC = 8 in What is the length of Side AB?
Answer:
is it a right angle?
if yes then do u gotta find the hypotenuse or the leg?
Please look at the image
Answer:
m<E = 60 deg
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180 deg.
m<E + m<F + m<G = 180
m<E + 75 + 45 = 180
m<E + 120 = 180
m<E = 60
Answer:
60 is the ans
Step-by-step explanation:
let angle E be x
then add all sides of triangle and subtract it from 180 you will get 60 degree as ans
1/6 divided by 1/2 as a reduced fraction
Answer:
1/3
Step-by-step explanation:
1/3
Step-by-step explanation:
1/6 ÷ 1/2
Copy dot flip
1/6 * 2/1
Multiply
2/6
Reduce
1/3
What is 10° equivalent to?
Answer: [tex]\frac{\pi}{18}[/tex]
Step-by-step explanation:
To convert from degree to radians, multiply by [tex]\frac{\pi}{180}[/tex], the conversion ratio.
Thus, 10 x [tex]\frac{\pi}{180}[/tex] = [tex]\frac{\pi}{18}[/tex]
y = 3/5x + 5
y = -3/5x + 5
y = 3/5x - 5
y = -3/5x - 5
Answer:
y= 3/5x+5
Step-by-step explanation:
The y intercept is 5 and the graph is going upwards so it is a postive slope. If you look at at the graph from the y intercept point to point B you can see it goes up by 3 and right by 5 so the slope is 3/5. This makes the equation y=3/5x+5
I need help with this math problem!
Answer:
C and E
Step-by-step explanation:
Answer:
I believe that the answer is
C and E
What is the correct ratio?
math 20
Answer:
7/24
Step-by-step explanation:
tan = opp/adj
opp = 7
adj = 24
hyp =25
9
Reduce to its lowest term.
36/100
Answer:
9/25
Step-by-step explanation:
Please help me with this, its due today
Answer:
43 is answer
Step-by-step explanation:
65+x+2+70=180
137+x=180
x=43
Find the distance from A to C across the gorge illustrated in the figure.
The distance from A to C is ___ feet.
Step-by-step explanation:
tan B = AC/BC
tan 35°= AC / 160
0.700 = AC /160
=> AC = 160 × 0.700
AC = 112.00
so, the distance from A to C is 112.00 feet
From the triangle given in the figure,
ΔACB is a right triangle.Measure of angle ABC = 35°Measure of adjacent side BC = 160 ftSince, adjacent side BC of the right triangle ACB is given and we have to find the opposite side AC of angle ABC,
Trigonometric ratio to be used → [tex]\text{tan}\theta = \frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
By substituting these values in the expression,
[tex]\text{tan}(35^{\circ}) = \frac{AC}{160}[/tex]
AC = 160[tan(35)°]
AC = 112.03 feet
Therefore, distance between A and C is 112.03 feet.
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3. What is the measure of remote angle, LA?
80
B
Answer:
m<A = 40°
m<C = 113°
Step-by-step explanation:
Problem 1:
m<A = ½(arc BC) (Inscribed angle theorem)
Substitute
m<A = ½(80°)
m<A = 40°
Problem 2:
Given that m<A = 67°
Recall: angels that are opposite each other in any given inscribed quadrilateral are supplements of each other.
Thus, it implies that:
m<A + m<C = 180°
Substitute
67° + m<C = 180°
Subtract 67° from each side
m<C = 180° - 67°
m<C = 113°
could someone help please ??
Answer:
i think it's 0.66666666666 or 1.5
Answer:
The quotient is 1.5.
Step-by-step explanation:
The apartments in Greg's building are named using the letters A,B,C, and D and the digits 1 through 9. How many apartments are there in Greg's building if each apartment is named by a single letter followed by a single digits
Answer:
36
Step-by-step explanation:
If there are 9 apartnments for everyletter 9 times the four letters is 36
9 * 4 = 36
The total number of apartments if The apartments in Greg's building are named using the letters A, B, C, and D, and the digits 1 through 9, are 36.
What is the combination?A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.
Given:
The apartments in Greg's building are named using the letters A, B, C, and D and the digits 1 through 9,
Calculate the total number of apartments as shown below,
The number of apartments = total number of digits × total number of letters,
The number of apartments = (1, 2, 3, 4, 5, 6, 7, 8, 9) × (A, B, C, D)
The number of apartments = 9 × 4
The number of apartments = 36
Thus, The total number of apartments is 36.
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How many solutions are in 5x^2+3x+2=0
Suppose that the function y = f(x) is decreasing on the interval ( 5, 7). What can be said about the graph of y= -f(x)
The graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
Suppose that the function y = f(x) is decreasing on the interval ( 5, 7).
The function:
y = -f(x)
Let f(x) be:
f(x) = -aˣ
Here 'a' is the real number a > 0
f(x) is decreasing on the interval ( 5, 7).
Applying transformation:
y = -f(x)
y = aˣ
Function y is increasing on the interval ( 5, 7).
Thus, the graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).
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According to a June 12 invoice, George's Grocery Store owes $11,250 to Crane Food Services. The sales terms are 5/10, 3/15, n/30. Find the cash discount if the invoice is
paid on June 26.
$328.75
$337.50
$445.80
$562.50
None of these choices are correct.
Answer:
$337.50
Step-by-step explanation:
Given that
The amount is $11,250
And, the sales terms are 5/10, 3/15, n/30
5/10 means if the payment is done within 10 days so 5% discount is given
3/15 means if the payment is done within 15 days so 3% discount is given
And, n/30 means the credit days for payment allowed is 30
Now the cash discount if the invoice is paid on June 20 is
= $11,250 × 3%
= $337.50
3x^2y^5/15xy simply using the laws of exponents
Answer: Use tiger alegbra, or math-way
Describe how to use a conversion factor to convert units. PLEASE HELP DUE TONIGHT
Answer:
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.
Step-by-step explanation:
. Given the significance level 0.025, the F-value for the degrees of freedom, df = (7,3) is A. 5.89. B. 14.62. C. 8.45. D. 27.67.
Answer:
B. 14.62
Step-by-step explanation:
Given that
The significance level is 0.025
We need to find out the degree of freedom df(7,3)
So for this please see the attached table
And, the calculation is given below;
As we can see that f-value = 14.62
df1=7
and
df2=3
Therefore the second option is correct
The same is relevant and considered
Please help. Thank you!
coat and a pair of boots are on sale
for 20% off.
The regular price of the coat is $250.
The regular price of the boots is $170.
Kayla wants to buy both the coat and
the boots. How much will she pay if she buys them during the sale?
Answer:
$336
Step-by-step explanation:
20% can be split into 2 10%
so to find 10% of a number U move the decimal point 1 place left
so 10% of 250 = 25, therefore 20% must equal
25 + 25 = 50. 20% of 250 is 50
and by doing the same this we find that 20% of 170 is 34
now minus the percentage from the original tO get the new price of both items
[tex]250 - 50 = 200[/tex]
[tex]170 - 34 = 136[/tex]
now add both 136 and 200 together to get the price she will pay for both on sale
[tex]200 + 136 = 336[/tex]
A local dog shelter has 12 dogs and 8 cats up for adoption. What fraction of the pets are dogs, what percent are cats?
If anyone can figure this out tysm
Please help!!!!!!!!!!!
Answer: 4 X's on 2 1/2, 3 X's on 3, 2 X's on 3 1/2, 1 X on 4
Step-by-step explanation:
18) In a class of 50 boys 3/5of the boys got marks above 60 in Mathematics. How
many boys got above 60 marks?
Answer:
thx for the points mwah
Step-by-step explanation:
PLEASE HELP TIMED---
A basket of sports equipment has 10 baseballs, 2 footballs, and 4 basketballs. A ball is randomly drawn from the basket before another ball is drawn, with no replacement.
What is the probability that a baseball and then a football are selected?
Enter your answer as a fraction in simplest form in the box.
Answer:
6/10
Step-by-step explanation:
i think sorry if incorrect
Answer:
The correct answer is [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
I know everyone says this but I just took the test and I got it right :)
The school canteen charges Rs 42 for lunch and Rs 8 for milk for
each day. How much money do you spend in 5 days on these things? Write proper steps. State the property used.
Answer:
After 5 days buying lunch and milk at the canteen school, Rs 250 will be spent.
Step-by-step explanation:
Given that the school canteen charges Rs 42 for lunch and Rs 8 for milk for each day, to determine how much money do you spend in 5 days on these things, the following calculation must be performed, using the distributive property:
(42 + 8) x 5 = X
50 x 5 = X
250 = X
Therefore, after 5 days buying lunch and milk at the canteen school, Rs 250 will be spent.
Which description best compares the graphs of these two functions?
Function A
y = -33 +2
2
Function B
0 2 4
2 1 0
6
-1
y
Functions A and B have the same y-intercept.
Functions A and B have the same x-intercept.
Function A is not a linear function.
Function B has a steeper slope.
Answer:
1st option, they have the same y-intercept
Step-by-step explanation:
they do not have the same x-intercept
'A' is linear
'B' has a less steep slope
a) Area:
b) Perimeter:
13 cm
add speaker notes
Answer:
area: 169
perimeter: 52
Answer it plssss........
Answer:
A
Step-by-step explanation:
Because x has the degree one and it’s figure at the numerator