Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
The sample size for male car occupant is [tex]n_1 = 2450[/tex]
The number that wear seat belt is [tex]k_1 = \frac{76}{100} * 2450 = 1862[/tex]
The sample size for female car occupant is [tex]n_2 = 2900[/tex]
The number that wear a seat belt is [tex]k_2 = \frac{74}{100} * 2900 = 2146[/tex]
Generally the population proportion is mathematically represented as
[tex]p = \frac{x_1 + x_2 }{n_1 + n_2 }[/tex]
=> [tex]p = \frac{1862 + 2146 }{2450 + 2900 }[/tex]
=> [tex]p = 0.7492[/tex]
The sample proportion for male car occupant is
[tex]\^ p_1 = \frac{k_1}{n_1}[/tex]
=> [tex]\^ p_1 = \frac{1862}{2450}[/tex]
=> [tex]\^ p_1 = 0.76[/tex]
The sample proportion for female car occupant is
[tex]\^ p_2 = \frac{k_2}{n_2}[/tex]
=> [tex]\^ p_2 = \frac{2146}{2900}[/tex]
=> [tex]\^ p_1 = 0.74[/tex]
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 \ne p_2[/tex]
Generally the standard error is mathematically represented as
[tex]SE = \sqrt{\frac{p(1 -p )}{ n_1 + n_2} }[/tex]
=> [tex]SE = \sqrt{\frac{0.7492 (1 -0.7492 )}{ 2450 + 2900} }[/tex]
=> [tex]SE = 0.005926[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p_1 - \^ p_2}{SE}[/tex]
=> [tex]z = \frac{0.76 -0.74}{0.005926}[/tex]
=> [tex]z = 3.37[/tex]
From the z table the area under the normal curve to the right corresponding to 3.37 is
[tex]P(Z > 3.37) = 0.00037584[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 3.37)= 2* 0.00037584 = 0.0007 5[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There appears to be a gender gap because there is a significant difference in the proportions
I need this done in 10 minutes PLEASE HELP!!
Answer: I believe that is proportional.
Step-by-step explanation:
A robot can complete 8 tasks in
3 and a fourth hour. Each task takes the same amount of time.
Answer:
5/6 hour = 5/6 × 60 = 300/6 = 50 minutes
8 tasks in 50 minutes
1 task = 50/8 = 6 1/4 minutes
a. robot completes task in 6 1/4 minutes
b. #tasks per hour =
#of tasks × time takes to do task < or = 60
n × 6.25 = 60
6.25n = 60.
n= 60/6.25 = 9.6
robot can complete 9 tasks in one hour
Step-by-step explanation:
Evaluate f(-2) for the function f(x)= -1/2x^2 + x + 1
Answer:
f(-2) = -3
Step-by-step explanation:
[tex]f(x)=-\frac{1}{2} x^{2} +x+1[/tex]
Just plug in x = -2
[tex]f(-2)=-\frac{1}{2} (-2)^{2} -2+1[/tex]
[tex]f(-2)=-\frac{1}{2} (4) -1[/tex]
4 can be rewritten as [tex]\frac{4}{1}[/tex] or [tex]\frac{8}{2}[/tex] so it has a common denominator.
[tex]f(-2)=-\frac{1}{2} * \frac{8}{2} -1[/tex]
[tex]f(-2)=-\frac{4}{2} -1[/tex]
[tex]f(-2)=-2-1[/tex]
[tex]f(-2)=-3[/tex]
If one (1) tablespoon equals three (3) teaspoons, how many tablespoons are in 13 teaspoons?
a.2 2/3 tablespoons
b.4 1/2 tablespoons
c.3 1/3 tablespoons
d.4 1/3 tablespoons
the ratio of the number of womens shoes to the number of mens shoes in a shoe store is 12:7. What fraction of the shoes are mens shoes.
7/19 are the fraction of men's shoes
explanation + example:
Use the total number as the denominator: 6 + 8 = 14
Use each of the ratio terms as the numerator in a fraction:
6 becomes 6/14
8 becomes 8/14
Reduce each fraction to lowest terms:
6/14 simplifies to 3/7
8/14 simplifies to 4/7
The part-to-part ratio 6 : 8 converts into the fractions:
6/14 = 3/7
8/14 = 4/7
Devansh buys a house for $189,900. The tax rate is 7.5%. How much was the tax on the home?
Answer:
Answer should be $4242.5
Step-by-step explanation:
Im doing the same thing
If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN
Answer:
68
Step-by-step explanation:
LM + MN = LN
x + 7 + 3x + 20 = 6x - 5
4x + 27 = 6x - 5
-4x -4x
27 = 2x - 5
+5 +5
32 = 2x
÷2 ÷2
16 = x
MN: 3x + 20
3(16) + 20
48 + 20
68
What’s 8/3 - 2/6 need in a reduced fraction
Answer:
7/3 or 2 1/3
Step-by-step explanation:
8/3 -2/6
Need a common denominator
Multiply 8/3 × 2/2
16/6 - 2/6
Subtract the numerators
14/6
simplify
7/3 or 2 1/3
plz help me it's due today
Solve for u: 2(u + 6) - 8 > 3(u - 5)
Answer:
19
Step-by-step explanation:
First get rid of the brackets:
[tex]2u + 12 - 8 > 3u - 15[/tex]
Then simplify:
[tex]2u + 4 > 3u - 15[/tex]
Get all the u's on one side:
[tex]2u - 3u > - 15 - 4[/tex]
Simplify and find u:
[tex] - u > - 19[/tex]
[tex]u < 19[/tex]
What is the image point of (-4,-3)(−4,−3) after a translation left 1 unit and down 2 units?
9514 1404 393
Answer:
(-5, -5)
Step-by-step explanation:
After adding (-1, -2) to the coordinates, the image point is ...
(-4, -3) +(-1, -2) = (-5, -5)
Please help me
A sheet of cardboard 3 ft by 4 ft will be made in a box by cutting equal sized squares from each corner and folding up the four edges. What will be the dimension of the box with largest volume.
[tex]\text{Hello, There!}[/tex]
[tex]\text{To find the volume of your equation, you would need to provide a height.}[/tex]
[tex]\text{Other than that, length \times width is going to help you find your area.}[/tex][tex]\text{Other than that, Length}\times{width = A.}[/tex]
[tex]\bold{A\;=\;Area.}[/tex]
[tex]\bold{W\;=\;Width.}[/tex]
[tex]\bold{L\;=\;Length.}[/tex]
[tex]\bold{H\;=\;Height.}[/tex]
[tex]\text{If you can figure out what your height is going to be,}[/tex]
[tex]\text{Then you can multiply L} \times {W} \times {H =} {\bold volume}[/tex]
[tex]\huge\text{Hope this helped! (:}[/tex]
[tex]\rule{300}{1.0}[/tex]
Which expression is equivalent to RootIndex 3 StartRoot 256 x Superscript 10 Baseline y Superscript 7 Baseline EndRoot? 4 x squared y (RootIndex 3 StartRoot x squared y cubed EndRoot) 4 x cubed y squared (RootIndex 3 StartRoot 4 x y EndRoot) 16 x cubed y squared (RootIndex 3 StartRoot x y EndRoot) 16 x Superscript 5 Baseline y cubed (RootIndex 3 StartRoot y EndRoot)
Answer:
B
Step-by-step explanation:
edg 2021
Answer: b
Step-by-step explanation:
what is the greatest common factor of 6 and 8
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Pleaseeee helpppp!!!!
Answer:
C
Step-by-step explanation:
I have the same question and computer lol
please help. i give brainliest ti correct answer
we need help . we think we got it but were not sure
Answer:
your right
Step-by-step explanation:
What are the values of x and y in the following system of equations?
[tex]x+y=15[/tex]
[tex]y-x=5[/tex]
Step-by-step explanation:
By elimination method,
x+y=15
-x+y=5
------------
2y=20
i.e y=10
Now,
x+y=15
or, x+10=15
or, x=5
What is the variable b equal to?
Answer:
x=-b-[tex]\frac{\sqrt{bx^{2} +100a}}{2a}[/tex]
x=-b+[tex]\frac{\sqrt{bx^{2} +100a}}{2a}[/tex]
Step-by-step explanation:
If tanx =√24 and cosx =−2√23, find sinx.
Answer:
Step-by-step explanation:
sin(x)=cos(x) × tan(x)
=(-2√23)×(√24)
=(-2√23)×(2√6)
=(-4√138)
=(-4(2√(3×23)))
=(-8√69)
How did i get this answer wrong? Can someone help me please
Answer:
3
Step-by-step explanation:
Set equation to 9 to find x:
9=5x-6
+6 +6
15=5x
x=3
Help! Got it wrong after trying first time and need helppp !
We are given the equation:
DA - 2qA = B³
Taking 'A' common on the LHS
A(D - 2q) = B³
Dividing both sides by (D - 2q)
A = B³ / (D - 2q)
Solve for x by answering the number below/
Answer:
The value of x is 5.
Step-by-step explanation:
In a square, all sides are equal so you can compare the expressions to solve x :
[tex]4x - 2 = 2x + 8[/tex]
[tex]4x - 2x = 8 + 2[/tex]
[tex]2x = 10[/tex]
[tex]x = 5[/tex]
A bag contains 9 red marbles and 7 yellow marbles. You randomly select three marbles from the bag.
What is the probability that all three marbles are red when you replace each marble before selecting the next marble
Answer:
9 out of 16 chances three red marbles are gonna come out
Find the slope of the line passing through the points (3,3) and (3,-9)
Answer: 0.75
Step-by-step explanation:
0.47 as a percent 6th grade
Answer:
47%
Step-by-step explanation:
Answer:
0.47 = 47%
Hope this helps!
The area of a pool floor is 476.625 square feet. The length of the pool floor is 15.5 feet. What is the width of the pool floor? I am giving 15 points for this or 10 thanks for the help I will also heart your work!
Answer:
30.75ft is the width
Step-by-step explanation:
15.5 x Width = 476.625
divide 15.5 by 476.625 which equals 30.75
15.5 x 30.75 = 476.625
51. التي سجل 16 لاعبا للاشتراك في دروس التنس. ويخطط المدرب لاستخدام 50 كرة تنس لكل لاعب وامتلاك
200 إضافية كك عدد كرات التنس اللازمة للدروس
Answer:
no islamic state propaganda in my country
Step-by-step explanation:
HURRY WILL GIVE BRAINLIEST
Given: ABCD is a parallelogram.
Prove: AB CD and BC DA
Angles Segments Triangles Statements Reasons
Please make the answer clear
Drawing the diagonal [tex]\overline {AC}[/tex] of the parallelogram makes the proof of the
congruency of opposite sides of a parallelogram clearer.
[tex]\overline {AB}[/tex] ≅ [tex]\overline {CD}[/tex] and [tex]\overline {BC}[/tex] ≅ [tex]\overline {DA}[/tex] by ASA rule of congruency
Reasons:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reasons
ABCD is a parallelogram [tex]{}[/tex] Given
∠BAC ≅ ∠DCA [tex]{}[/tex] Alternate interior angles theorem
∠BCA ≅ ∠DAC [tex]{}[/tex] Alternate interior angles theorem
[tex]\overline {AC}[/tex] ≅ [tex]\overline {AC}[/tex] [tex]{}[/tex] Reflexive property
ΔABC ≅ ΔACD [tex]{}[/tex] ASA rule of congruency
[tex]\overline {AB}[/tex] ≅ [tex]\overline {CD}[/tex] [tex]{}[/tex] CPCTC
[tex]\overline {BC}[/tex] ≅ [tex]\overline {DA}[/tex] [tex]{}[/tex] CPCTC
Therefore, segment [tex]\overline {AB}[/tex] and segment [tex]\overline {CB}[/tex] in ΔABC are congruent to
segment [tex]\overline {CD}[/tex] and segment [tex]\overline {DA}[/tex] in ΔACD by Angle-Side-Angle, ASA, rule of
congruency.
CPCTC stands for Congruent Part of Congruent Triangle are Congruent
Learn more here:
Find the value of f(–2) for the function f(x) = 4x + 10.
Answer: The answer is 2
Step-by-step explanation:
4(-2)+10=2