Answer:
Test statistic = 3.863
Step-by-step explanation:
We are told that most adults would erase all of their personal information online if they could. Since the word "most" is used, it means more than 50% or 50 percent.
So, p_o = 0.5
Also, we are told that 58 % of them would erase all of their personal information online if they could.
Thus, p^ = 0.58
Number of randomly selected adults; n = 583
The test statistic formula for hypothesis test for proportion is given by:
z = (p^ - p_o)/[√[p_o(1 - p_o)/n]
Plugging in the relevant values, we have;
z = (0.58 - 0.5)/[√[0.5(1 - 0.5)/583]
z = 0.08/0.02070788416
z = 3.863
Marx and Engels believed that a. people in a good environment would behave unselfishly. b. people should create utopian communities. c. the capitalist system should be destroyed. d. workers should improve conditions by taking political office. Please select the best answer from the choices provided A B C D
Q;- Marx and Engels believed that a. people in a good environment would behave unselfishly. b. people should create utopian communities. c. the capitalist system should be destroyed. d. workers should improve conditions by taking political office. Please select the best answer from the choices provided A B C D
A;- Marx and Engels believed that the capitalist system should be destroyed.
Please answer it now
Answer:
s= 15 (nearest integer), 14.8 (to nearest 10ths)
Step-by-step explanation:
here you need to apply the cosine rule,
[tex] {s}^{2} = {u}^{2} + {t}^{2} - 2ut \cos(s) [/tex]
substituting the values,
u= 13, t=5 and angle S as 60 and solving will give you the answer 14.76 (2 dp)
Hey can anyone help me with this question?Identify the side or angle that is common to ∆ABC and ∆CDA.
Answer:
Answer D
Step-by-step explanation:
You can see that AC belongs to both triangles (ABC and CDA), you AC is the common side.
Please help I don't understand this at all
Answer:
Since ΔABC is equilateral, ∠ACB = 60°. Since ΔCED is isosceles (we know this because CE = ED from the graph), ∠ECD = ∠EDC from Base Angles Theorem, and since the sum of angles in a triangle is 180°, they measure (180 - 32) / 2 = 74° each. Since BCD is a straight line, it measures 180° so we can write:
60 + x + 74 = 180
134 + x = 180
x = 46°
Answer:
46 degrees
Step-by-step explanation:
Since triangle ABC is equilateral that means each angle in that triangle is 60 degrees.
We also know that for triangle ECD angle C and angle D have to be 74 degrees, because a triangle has 180 degrees in total and the only unique angle is at the top which is 32. So it is 180-32=148, than 148/2=74.
We than know that a half circle is 180 degrees aswell, so we do 180-60=120
120-74=46
The Acme Candy Company claims that 60% of the jawbreakers it produces weigh more than 0.4 ounces. Suppose that 800 jawbreakers are selected at random from the production lines. Would it be significant for this sample of 800 to contain 494 jawbreakers that weigh more than 0.4 ounces? Consider as significant any result that differs from the mean by at least 2 standard deviations. That is, significant values are either less than or equal to muminus2sigma or greater than or equal to muplus2sigma.
Answer:
Yes, it would be statistically significant
Step-by-step explanation:
The information given are;
The percentage of jawbreakers it produces that weigh more than 0.4 ounces = 60%
Number of jawbreakers in the sample, n = 800
The mean proportion of jawbreakers that weigh more than 0.4 = 60% = 0.6 = [tex]\mu _ {\hat p}[/tex] =p
The formula for the standard deviation of a proportion is [tex]\sigma _{\hat p} =\sqrt{\dfrac{p(1-p)}{n} }[/tex]
Solving for the standard deviation gives;
[tex]\sigma _{\hat p} =\sqrt{\dfrac{0.6 \cdot (1-0.6)}{800} } = 0.0173[/tex]
Given that the mean proportion is 0.6, the expected value of jawbreakers that weigh more than 0.4 in the sample of 800 = 800*0.6 = 480
For statistical significance the difference from the mean = 2×[tex]\sigma _{\hat p}[/tex] = 2*0.0173 = 0.0346 the equivalent number of Jaw breakers = 800*0.0346 = 27.7
The z-score of 494 jawbreakers is given as follows;
[tex]Z=\dfrac{x-\mu _{\hat p} }{\sigma _{\hat p} }[/tex]
[tex]Z=\dfrac{494-480 }{0.0173 } = 230.94[/tex]
Therefore, the z-score more than 2 ×[tex]\sigma _{\hat p}[/tex] which is significant.
Answer:
Step-by-step explanation:
min 452, max 507, so 494 is not unusual.
Write the expression in standard form. Then find the degree, leading coefficient, and constant of the polynomial.
(2x + 3) (3x – 5)
Degree:
Leading Coefficient:
Constant:
Answer:
6x²-x-15
degree: second
leading coefficient : 6 , -1
constant : -15
Step-by-step explanation:
(2x + 3) (3x – 5)=
6x²+9x-10x-15=
6x²-x-15
degree: second
leading coefficient : 6 , -1
constant : -15
How many feet are in a yard? How many feet are in a mile? How many yards are in a mile? Please answer this. Thank you!
Answer:
352801760Step-by-step explanation:
1 yard = 3 feet
1 mile = 5280 feet
1 mile = 1760 yards ... (5280 ft/mi)/(3 ft/yd) = 1760 yd/mi
Ahmad spent $27 on fruit at the grocery store. He spent a total of $45 at the store. What percentage of the total did he spend on fruit?
Answer:
60%Step-by-step explanation:
[tex]\frac{27}{45} \times 100/1\\= \frac{2700}{45}\\ \\=60\%[/tex]
Answer:
60 %
Step-by-step explanation:
To find the percentage spent on fruit, take the amount spent on fruit over the total amount
27/45
.6
Change to a percent by multiplying by 100
60%
PLEASE HELP ME TO COMPLETE THIS QUESTION
Answer:
Step-by-step explanation:
a) Increase in population =510,000 - 430,000 = 80,000
Percentage increase = [tex]\frac{80,000}{430,000}*100[/tex]
= [tex]\frac{800}{43}[/tex]
= 18.6 %
b) Percentage increase = 17.3%
Increase in population = 17.3% * 510,000
= 0.173 * 510,000
= 88,230
Predicted population in 2021 = 510,000 + 88,230
= 598,230
!!!!!!WILL GIVE BRAINLEIST !!!!!!
Answer:
[tex]\boxed{Median = 152}[/tex]
Step-by-step explanation:
Observation = 568 , 254 , 152 , 101 , 100
In ascending order:
=> 100 , 101 , 152 , 254 , 568
Median is the middlemost no. So here:
Median = 152
Answer:
152
Step-by-step explanation:
If you set the data in an ascending order, you will find 152 to be the middle value, thus being the median
To get to the park from her house, Rachel walked 4 kilometers due north and then 3 kilometers due west. On the way back, she cut across a field, taking the shortest
possible route home,
How far did Rachel walk on the round-trip?
Answer:
12 km
Step-by-step explanation:
Using the Pythagorean Theorem, you know that 3^2 + 4^2 = x^2, so 9 + 16 = x^2, which means that x = the square root of 25, which is 5. Then you add all three lengths of the triangle together to get the round trip. 3 + 4 + 5= 12.
The radius of a cylinder is doubled and its height is halved. Find the ratios of their surface areas.
Answer: 1:1
Step-by-step explanation:
Let r be the radius and h be the height of a cylinder.
Formula: Curved surface area of cylinder = [tex]2\pi rh[/tex]
Now, if radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height will be [tex]H=\dfrac{1}{2}[/tex]
Now, new surface area = [tex]2\pi RH= 2\pi(2r)\dfrac{h}{2}= 2\pi rh[/tex]
Ratio of curved surface areas : [tex]\dfrac{\text{Surface area}}{\text{New surface area}}=\dfrac{2\pi rh}{2\pi rh}=\dfrac{1}{1}[/tex]
Hence, the ratios of their surface areas = 1:1 .
A city park contain garden paths ( about 10% ) a lake ( about 15% ) and tennis courts. If the park is 2.4 ha and the tennis courts occupy a rectangular plot 60cm by 50cm how many hectares are left for garden?
Answer:
As i understand it:
The total park is 2.4 ha
10% of that is paths and 15% of that is a lake.
So a 10% + 15% = 25% is taken.
So we have left a 75% of the park, this is:
Left = (75%/100%)2.4 ha = 0.75*2.4ha = 1.8 ha.
Now we also need to subtract the are of the tennis court.
The tennis court occupies a rectangular plot of 60m by 50m (you actually wrote cm here, but i guess it was a mistake, we can not have a tennis court of 60cm by 50cm)
So the area of the tennis court is:
A = 60m*50m = 3,000 m^2
But we want to write it in ha
We know that:
1ha = 10,000m^2
then 3,000m^2 = (3,000/10,000) ha = 0.3 ha
Then the left area is:
L = 1.8 ha - 0.3ha = 1.5 ha.
The width of a rectangle is 3 meters more than half of the length. the perimeter is 516 meters. What is the length and the width?
Answer:
Length = 8 meters
Width = 5 meters
Step-by-step explanation:
2*(3 + (1/4)L + L) = 26 meters
1/4L + L = 26/2 - 3
1/4L + 4/4L = 10
5/4L = 10
L = 10 * 4/5
L = 40/5 = 8 meters
W = 3 + 1/4 L
W = 3 + 1/4 *8
W = 3 + 2
W = 5 meters
Hey there! I'm happy to help!
Let's write this out as a system of equations. We will have W be the width and L be the length.
W=0.5L+3
2L+2W=516
Since we know that W is equal to 0.5L+3, we can swap the W in the second equation with 0.5L+3 so we can solve for L!
2L+2(0.5L+3)=516
We use the distributive property to undo the parentheses.
2L+L+6=516
We combine like terms.
3L+6=516
We subtract 6 from both sides.
3L=510
We divide both sides by 3.
L=170
Now, we know that the width is 3 meters more than half the length. So, we take 1/2 of 170, which is 85, and then we add three, giving us 88.
So, our length is 170 meters and the width is 88 meters.
Have a wonderful day!
Please help I will give out brainliest
Answer:
All the points change, there are no invariant points
Step-by-step explanation:
The given parameters are
To translate the square OABC by the vector [tex]\dbinom{1}{3}[/tex], we have;
The coordinates of the point O is (0, 0)
The coordinates of the point A is (3, 0)
The coordinates of the point B is (3, 3)
The coordinates of the point C is (0. 3)
The translation is by moving 1 step right and three steps up to give;
O' is (0+1, 0+3) which is (1, 3)
A' is (3+1, 0+3) which is (4, 3)
B' is (3+1, 3+3) which gives (4, 6)
C' is (0+1, 3+3) which gives (1, 6)
As all the points change, there are no invariant points and the number of invariant points is zero.
Help asap please and please explain so I could try the rest on my own
Answer:
7
Step-by-step explanation:
It has a 45 45 90 ratio, so if the hypotenuse is 7 root 2, then the two sides have to be 7.
area of parallelogramis 30 cm^2. if the length of two adjacent sides are 6 cm and 10 cm respectively. find its diagonal
Answer:
the long diagonal d=15.49 ( rounded to the nearest hundredth)
the shortest d=√136-120(cos 30)=5.663 ( rounded to the nearest hundredth)
Step-by-step explanation:
Area=height * base
30=h*6
h=30/6=5 cm
height=asinФ
sinФ=5/10=1/2 (Ф=30)
alternate angle=180
180-30=150 degrees
diagonal²=a^2+b^2-2abcos150
d²=10²+6²-2(10)(6)(-√3/2)
d=√136+60(√3)
the long diagonal d=15.49 ( rounded to the nearest hundredth)
the shortest d=√136-120(cos30)=5.663
Determine the nature of the roots 4x^2 + 13x + 6 = 0 a.no real solutions b.cannot be determined c.a unique real solution d.two distinct real solutions
Answer:
D
Step-by-step explanation:
Try factoring the equation
Answer:
D Edge 2020-2021
Step-by-step explanation:
I got it right on the quiz
Sophia‘s favorite homemade cookie recipe requires one cup of chocolate chips for 10 servings if the number of cups required for multiple batches is proportional to the number of servings being made how many cups of chocolate chips will she need to make enough cookies for 30 servings
Answer:
3 cups
Step-by-step explanation:
We can use a proportion to find how many cups of chocolate chips she needs for 30 servings. Assuming c = cups of chocolate chips and b = batches
[tex]\frac{c}{b}[/tex]
[tex]\frac{1}{10} = \frac{c}{30}[/tex]
We can now multiply the diagonal values that don't include the missing variable (30 and 1) and then divide it by the value that is diagonal to the variable (10)
[tex]30 \cdot 1 = 30\\30 \div 10 = 3[/tex]
Therefore, she needs 3 cups of chocolate chips to make 30 servings.
Answer:
3 cups
Step-by-step explanation:
We can use ratios to solve
1 cup x cups
---------------- = ----------------
10 servings 30 servings
Using cross products
1*30 = 10x
Divide by 10
30/10 = x
3 =x
3 cups
Solve this system of linear equations. Separate
the x- and y-values with a comma.
15x + 4y = -80
5x + 5y = 10
Answer:
(-8,10)
Step-by-step explanation:
hope i helped!
u can substitute if u want to recheck
can i get brainliest pls?
-Zylynn
Please answer this question now
Answer:
x=33
Step-by-step explanation:
x-9=24 the tangent of the circle are equal in length
x=33
Evaluate 55 ÷ 11 + (13 x 3)
Step-by-step explanation:
55 ÷ 11 + (13 x 3)
5 + (13 x 3)
5 + 39
44
Answer:
44
Step-by-step explanation:
13 * 3 = 39
55/11 = 5
5 + 39 = 44
I hope I helped! Please mark me brainliest!
j is 7 times as large as 6. Solve for j. j=
Answer:
42
Step-by-step explanation:
7 times as large as 6 = 7 * 6
7 * 6 = 42
Hope this helps
Answer:
42
Step-by-step explanation:
I have never understood these. Help.
Answer:
5 sqrt(5)
Step-by-step explanation:
sqrt(125)
sqrt( 25*5)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(25) sqrt(5)
5 sqrt(5)
Answer:
5√(5)
Step-by-step explanation:
Notice that 125 is 25×5
If you couldn't do it use the prime factorization.
Prime numbers are 2,3,5.....
125 isn't divisible by 2 and 3 so we'll go with 5.
● 125 ÷ 5 = 25
Againg 25 is divisible by 5
● 25÷5 = 5
5 is divisible by 5
● 5÷5=1
So 125= 5×5×5 = 5^2 × 5
● √(125)= √(5^2×5) = 5√(5)
i rlly need help :( this is hard
Answer:
A
Step-by-step explanation:
The domain does not exist when the denominater of an equation is zero. So in this case if x was -2 and we added 2 the denominator would be zero, and that value does not exist in the domain. Hope this helps!
A car travels 32 km due north and
then 46 km in a direction 40° west of
north. Find the magnitude of the
car's resultant vector.
Answer:
73.2km
Step-by-step explanation:
first you have to decompose 46 km into y and x components.
x=sin40°*46km
x=0.64*46km
x=29.44km
y=cos40°*46km
y=0.76*46km
y=34.96
now you add the y components together
32+34.96=66.98
finally use Pythagorean thereom to find the resultant vector.
a*a+ b*b=c*c
66.98*66.98+29.44*29.44=c*c
c*c= 4486.3+866.7
c=√5353
c=73.2 km this is the approximate value
Please answer it now in two minutes
Answer:
m∠C = 90°
Step-by-step explanation:
Triangle BDC is a right triangle with the measure of angle D = 90°
By applying Cosine rule in the given triangle,
Since, Cosine of any angle in a right triangle is a ratio of Its adjacent side and Hypotenuse (Opposite side of the right angle)
CosC = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
CosC = [tex]\frac{\text{DC}}{\text{BC}}[/tex]
CosC = [tex]\frac{7}{8}[/tex]
[tex]C=\text{Cos}^{-1}(\frac{7}{8})[/tex]
C = 28.955
C = 29°
Therefore, m∠C = 29° will be the answer.
Given that a quadrilateral PQRS is a parallelogram, PQ and RS are opposite sides, PQ = 6x + 10, RS = + 12, and QR = 31 which of the following statements are correct?. More than one answer may be correct.
- Opposite sides are congruent
- The diagonals are perpendicular
- The parallelogram PQRS is a square
- Perimeter = 106
- PS = 31
- x = 4
- None of these answers are correct
Answer:
option 1 & option 5
Step-by-step explanation:
In a parallelogram,
1) opposite sides are congruent
2) So, PS = QR = 31
Answer:
Opposite sides are congruent
PS = 31
Step-by-step explanation:
based on what I learned when I was grade 9 and this topic is one fof my favorite so Yeh
hope its correct (～￣▽￣)～
what happens to 3y / 2y as y increases?
Answer: Nothing
Step-by-step explanation:
If you multiply the numerator and denominator of a fraction by any number(apart from 0), it doesn't change.
Hope it helps <3
Answer:
it is the same
Step-by-step explanation:
it is decreasing not increasing
This a math question plz help asap with correct answer and explanation will give brainiest
Answer:
Hey there!
This is an isosceles triangle, so if one angle is 44 degrees, (2 times 22), then the remaining angles add to 136 degrees.
136/2=68, so each of the angles are 68 degrees.
Hope this helps :)
Answer:
C = 68
Step-by-step explanation:
Y = 22
Then A = 2y = 2*22 = 44
We know that A + B + C = 180
And B = C since the base angles of an isosceles triangle are the same
44 + C+C = 180
44+2C = 180
2C = 180-44
2C =136
C = 68