Answer:
c) 0.5284
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:
[tex]z=\frac{p_s-p}{\sigma_p} \\\\where\ p_s=sample\ proportion,p=population\ proportion,\\\sigma_p=standard \ error=\sqrt{ \frac{p(1-p)}{n}},n=sample\ size\\\\ z=\frac{p_s-p}{\sqrt{ \frac{p(1-p)}{n}}} \\\\Given \ that\ n=50,p=40\%=0.4\\\\For\ p_s=0.35:\\\\z=\frac{0.35-0.4}{\sqrt{\frac{0.4(1-0.4)}{50} } } =-0.72\\\\For\ p_s=0.45:\\\\z=\frac{0.45-0.4}{\sqrt{\frac{0.4(1-0.4)}{50} } } =0.72[/tex]
Hence from the normal distribution table, P(0.35 < x < 0.45) = P(-0.72 < z < 0.72) = P(z < 0.72) - P(z < -0.72) = 0.7642 - 0.2358 = 0.5284
Ben has been driving nonstop along a highway for 5 hours: The minimum speed permitted on the highway is 45 kph and the maximum speed permitted is 70 kph.Solve for the range of the distances d that Ben could trave legally traveled. Give your answer as an inequality.
Answer:
[tex]225\leq d \leq 350[/tex]
Step-by-step explanation:
5 * 45 = 225
5 * 70 = 350
A jumbo-size 90-ounce drink at a certain gas station has 760-calories. How many calories are there in a 28-ounce drink
Answer:
Step-by-step explanation:
This is a proportion problem.
760 / 90 = x / 28 Cross multiply
90 * x = 760 * 28 Simplify the right side
90x = 21280 Divide by 90
x = 21280/90
x = 236.4
Consider the statement: 4−3+5=−6+8+4. This is a mathematically correct sentence.Is the sentence true or false? Explain how you know.
Answer:
This is true because 6 does infact equal 6
Step-by-step explanation:
First see if the solution is true by seeing if x = x
So solve both sides
4-3+5 = -6+8+4
1+5 = 2+4
6 = 6
Will give crown to the most helping
Answer:
15
19
23
35
Step-by-step explanation:
Just replace x with the numbers in the chart.
Answer:
15, 19, 23, 35
Step-by-step explanation:
Just substitute the variable.
Write an inequality for the graph below.
Answer:
There are 2 lines, so this is a system of inequalities.
Find the equation of both lines:
The longer line using points (0,6) and (3,3)
Equation is y = -X+6, the inequality becomes y ≥-x+6
The equation for the shorter line:
Using points (5,1) and (6,2)
Equation is y=x-4, the inequality becomes y≤x-4
The system of inequalities is:
y ≥-x+6
y≤x-4
Step-by-step explanation:
Help ASAP I will give u a lot of points
Explain how solving -7y > 161 is different from solving 7y > -161.
Answer: its different because when you add a negative sign to an answer it is valued less then a answer without the negative sign
Answer:
You use the division property of inequality to isolate the variable for both inequalities. You need to reverse the direction of the inequality symbol when dividing both sides by a negative number.
Step-by-step explanation:
edge
Helpppppp please......................................
I hope this helps, have a good day
Step-by-step explanation:
4. - 5a>1-3
5a<2
a<2/5
5. - 2b<-6-27
2b>33
b>33/2
6. 1/2(c+1)>5
c+1>10
c>9
7. A. The club earns 10*p $
B. Difference 10*p - 75
C.
[tex]p \geqslant \frac{(75 + 50)}{10} [/tex]
[tex]p \geqslant \frac{125}{10} [/tex]
What is 160 rounded to the nearest hundred
Answer:
♡ madeline here ♡
the answer is 200, stay safe!
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ
Step-by-step explanation:
Mrs. Austin wraps 3 presents in 1/4 of an hour. At that rate, how many presents will be wrapped in 3 hours?
Answer:
36
Step-by-step explanation:
Answer:
36 presents
Step-by-step explanation:
there will be 12 presents wrapped per hour, since there are 3 presents in 1/4 hour. 12x3 is 36 :).
The sum of the angles of a triangle is 180°, what are the two unknown angle measures
in the triangle below? (We know that one angle is 40°)
Answer:
28 and 112
Step-by-step explanation:
4n+n=5n. 5n+40=180 5n-40=140. 140/5= 28. 28* 4=112
Rose plz. give me chance to explain
Answer:
who is Rose
Step-by-step explanation:
A satellite orbiting Earth has a period of 21 hours when its average distance is 3.8 × 107 m. Find the orbital period of a satellite when the average distance is 5.1 × 107 m. Use the law stating that the square of the time of orbit varies directly with the average radius cubed.
Answer:
hertygvgjsagjkefhuufcbfssdvmyjkixewd
Two of your friends go bowling. One friend rents a pair of bowling shoes for $3 and bowls 3 games. The other friend brings his own bowling shoes, bowls 4 games and buys a soda for $0.50. Both friends spend the same amount of money. Show how you can write and solve an equation to find the cost of one game.
Answer: The cost of each game is $2.50
Step-by-step explanation:
Let's find the equations for each friend:
Friend 1:
Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:
$3 + 3*X
Friend 2:
This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:
$0.50 + 4*X
And we know that both friends pay the exact same amount, then we can write:
$3 + 3*X = $0.50 + 4*X
And solve this for X.
We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:
$3 - $0.50 = 4*X - 3*X
$2.50 = (4 - 3)*X = X
This means the cost of each game is $2.50
Solve this pls. WILL AWARD BRAINLIEST TO BEST ANSWER!!!!!
Answer: 31.18
Step-by-step explanation:
The problem is focused on mainly the right triangle made up of points M, Q, and R. This problem can be solved with the base formula, b = a · tan(β) where a = the length of line MR, β = m∠MQR, and b is the unknown length of RQ.
Given:
RQ = 18 · tan(60°)
Point M is the midpoint of line PM and line MR. Since MP is equal to 18, MR has to be 18 as well. This means that the value of a is 18.
The vertex of ∠MQR is Q, which is 60°.
Step 1: Find the tangent of 60°
The tangent of 60° is √3
Step 2: Solve
RQ = 18 · √3
18 · √3 = 31.18
RQ is equal to 31.18
if x + y = x y = 5 then x ^2 y + X Y ^ 2 equals
Answer:
25
Step-by-step explanation:
Note x^2y + xy^2 = xy(x+y)
We know xy = 5 and x+y = 5, so
5*5=25
determine weather the line is parallel perpendicular or neither
x = 6 and y = 4
Answer:
Players join in groups of between four and ten players, either online or through their local Wi-Fi connection, to perform tasks on a spaceship, sky headquarters or planet base. The problem? One player is an alien impostor out to murder everyone, and it's up to the rest of the group to determine who it is.
Step-by-step explanation:
Players join in groups of between four and ten players, either online or through their local Wi-Fi connection, to perform tasks on a spaceship, sky headquarters or planet base. The problem? One player is an alien impostor out to murder everyone, and it's up to the rest of the group to determine who it is.
Answer:neither
Step-by-step explanation:
HELP ILL GIVE brainliest !!
Answer: To distinguish, when using part-to-part ratios, you have to put a 2 numbers that can be summed to the total. Part-to-whole relationships is put from half or a number that doesn’t go over the total can be described as a part-to-whole.
Step-by-step explanation:
Answer:
part to part is comparing one part of a group to another part of the group but part to whole is comparing one part of the group to the enire group
Step-by-step explanation:
A example when looking trail mix would be:
Part to part: comparing the number of peanuts to the number of raisins
Part to whole: comparing the number of peanuts to the entire bag of trail max
the most stable measure of central tendency is____
a) mean b)median. c) mode. d) deviation
Answer:
Median.
Step-by-step explanation:
mean might have outliers, standard deviation in not and mode can be rigged.
Hope this helps :D
I need to show my work for 6a = 36
Answer:
6a =36
a = 36/6
a = 6
that is the answer
pls mark brainiest
Step-by-step explanation:
Answer:
a=6^2
Step-by-step explanation:
So you would just show your anserw because 6 to the 2 power would actually be 6 times 6 and that would equal 36 if that makes sense :)
A park has the dimensions indicated in the diagram. Which expression represent the perimeter of the park?
Answer:
78m.
Step-by-step explanation:
Since we are not given any dimension we can use the following dimension.
Let the park be rectangular in nature
Length = 25m
Width = 14m
Perimeter = 2(L+W)
Perimeter = 2(25 + 14)
Perimeter = 2(39)
Perimeter = 78m
Hence the perimeter of the park is 78m.
Note that the dimension were assumed and any values can be used using similar calculation.
Please please help me with this one!!!!!!
Answer:
m<C=31
m<D=76
m<DEC=73
Step-by-step explanation:
Do you need it? Reply if you do
What is the slope of the lines! HELP PLEASE!!! 20points
Answer:
1/5
Step-by-step explanation:
pick any points, for example (6, -1) and (11, 0)
slope is m= (y2-y1) / (x2-x1) = -1-0 / 6-11 = -1 / -5 = 1/5
if f(x) =3x+12 find f(-6)
Find the perimeter of the figure shown above.
a. 40 cm
b. 60 cm
C. 52 cm
d. 75 cm
How many solutions will this system have?
One
TWO
Infinitely Many
Solutions
No Solution
Answer:
one
Step-by-step explanation:
we look at the point the y axis and the x axis meets and we read the value of the cordinates to get the value required,,for this case only one value will be read,,at the point y meets x,,
Mia wants to borrow £6000 and repay it, with interest, after two years. she sees two offers for loans: offer 1 compound interest 3% per year offfer 2 compound interest first year 1% second year 3% mia says, iwill payback the same amount because the average of 1% and 5% is 3% is she correct?
Answer:
she is wrong, offer 2 results in lower interests
Step-by-step explanation:
total amount paid if offer 1 is accepted:
$6,000 x (1 + 3%)² = $6,000 x 1.0609 = $6,365.40
she will pay $365.40 in interests
total amount paid if offer 2 is accepted:
($6,000 x 1.01) x 1.05 = $6,060 x 1.05 = $6,363
she will pay $363 in interests
Compounding interest refers to interest that earns more interest itself, e.g. in the first offer, the $180 of interests charged for the first year will earn $5.40 in extra interests. While offer 2 only charges $60 in interests during the first year which will in turn earn $3 of interests. The difference between both offers is that interest charges in offer 1 earn more interests than the interest in offer 2 = $5.40 - $3 = $2.40
can someone please help me on this?
Answer:
6.56
Step-by-step explanation:
ratio:
if 1 : 3.28
then 2 : 5.56
double it
Answer:
6.56 feet
Step-by-step explanation:
2 x 3.28=6.56
HTH :)
Can someone plz help me with this
Answer:
m<ABC = 40
m<FEC = 90
because the triangle is isoscles
When a coin was tossed, it came up heads 12 times and tails 8 times.
What percent of the time did it come up tails?
Answer: 40% of the time the coin came up tails.
Step-by-step explanation:
The coin is tossed 20 times. Of those 20 times, it came up tails 8 times (8/20). 8/20 = 0.4 = 40%
Answer:
It’s 1/2 (the probability of getting either heads or tails) to the power of 8 (for 8 tosses).
1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2=1/128=0.00390625 =40%
Step-by-step explanation: