Testing the hypothesis, it is found that the correct option is:
b. Not significantly greater than 55%.
At the null hypothesis, we test if the proportion is not significantly more than 55%, that is:
[tex]H_0: p \leq 0.55[/tex]
At the alternative hypothesis, we test if the proportion is significantly more than 55%, that is:
[tex]H_1: p < 0.55[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.55, n = 100, \overline{p} = \frac{60}{100} = 0.6[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.6 - 0.55}{\sqrt{\frac{0.55(0.45)}{100}}}[/tex]
[tex]z = 1.01[/tex]
The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted by the p-value of z = 1.01.
Looking at the z-table, z = 1.01 has a p-value of 0.8438.
1 - 0.8438 = 0.1562.
The p-value of the test is 0.1562 > 0.05, which means that the proportion is not significantly greater than 55%, and option b is correct.
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Combine the like terms to create an equivalent expression:
−
2
k
−
(
−
5
)
+
1
Answer:
-2k + 6
Step-by-step explanation:
We start out with the expression -2k - (-5) + 1. We should first distribute the negative outside of (-5), which gets us to 5: -2k + 5 + 1. Now, we can combine like terms with 5 and 1 to get 6, giving us a final answer of -2k + 6. We can't simplify any further since there aren't any like terms.
If you have any questions or need clarification on anything, let me know!
1. A vector starts at point ( -2, 1) and ends at point (-6, -2) what is the horizontal component of the vector?
2. A vector starts at point ( -6, 0) and ends at point (10, -4) what is the vertical component of the vector?
3. A vector starts at point ( -3, 9) and ends at point (3, -7) what is the magnitude of the vector, answer to two decimal places.
Answer:
Using vector concepts, it is found that:
1. The horizontal component of the vector is 5.
2. The magnitude is of 14.87.
3. The vertical component of the vector is 2.
-------------
A vector (x,y) has x as horizontal component and y as vertical component.
The magnitude is
Given two points, a vector is formed by the subtraction of the endpoint by the start point.
-------------
Item 1:
The horizontal component of the start is -3.
The horizontal component of the end is 2.
Thus, the horizontal component of the vector is
-------------
Item 2:
Starts at (1,9), ends at (6,-5), thus, the coordinates are:
The magnitude is:
The magnitude is of 14.87.
-------------
Item 3:
The vertical component of the start is -10.
The vertical component of the end is -8.
Thus, the vertical component of the vector is
Step-by-step explanation:
Hepplpppppppppppppppoplllpllppppppp
Answer:
X = 53°
y = 143°
Step-by-step explanation:
Hope it helps!!!!!!
811570 rounded to nearest hundred thousand
Answer:
800,000
Step-by-step explanation:
8 is in the hundred thousands, 1 is in the ten thousands, 1 is in the thousands, 5 is in the hundreds, 7 is in the tens, 0 is in the ones place
It rounds down as its nowhere near 900,000 which changes all its digits.
Use a truth table to determine whether to two statements are equivalent
Answer:
equivalent yan kasi pareho lang den nmn letters lng naiba
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Triangle ABC is defined by the points A(3,8), B(7,5), and C(2,3).
Create an equation for a line passing through point A and perpendicular to BC.
y=
X +
Reset
Next
Answer:
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex]
Step-by-step explanation:
Calculate the slope m of BC using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = B (7, 5 ) and (x₂, y₂ ) = C (2, 3 )
[tex]m_{BC}[/tex] = [tex]\frac{3-5}{2-7}[/tex] = [tex]\frac{-2}{-5}[/tex] = [tex]\frac{2}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex] , then
y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute A (3, 8 ) into the partial equation
8 = - [tex]\frac{15}{2}[/tex] + c ⇒ c = 8 + [tex]\frac{15}{2}[/tex] = [tex]\frac{16}{2}[/tex] +[tex]\frac{15}{2}[/tex] = [tex]\frac{31}{2}[/tex]
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line
The equation for a line passing through point A and perpendicular to BC is 2y = -5x +31 or y = -2.5x +15.5.
What is the equation of a Straight Line ?The equation of the straight line is represented by
y = mx+c
where m is the slope , and c is the intercept on y axis.
The equation of the line BC for points B(7,5), and C(2,3) is
y- y' = m(x-x')
m = 2/5
and c =
y-5 = (2/5)x - (14/5)
y = (2/5)x+(11/5)
The slope of the line perpendicular rot this line is given by
as the product of two perpendicular lines should be -1
m = -5/2
y = (-5/2)x +c
8 = (-15/2) + c
8 +(15/2) = 0
31/2 = c
Therefore the equation for a line passing through point A and perpendicular to BC is
2y = -5x +31
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You save $3,260.00 in a savings account earning a 3.55% APR compounded monthly. How much is the total interest earned by the end of the third month?
A)$21.02
B)$28.59
C)$27.01
D)$23.56
Answer:
I think it would be this
Step-by-step explanation:
3,032,644 dollars left over. I am very sorry if I am wrong.
Write numbers in the number grid to make it correct 4+?+9+?+?= 35
Hi
Answer:
4+5+9+8+9=35
Step-by-step explanation:
nvm about that
Answer:
Below.
Step-by-step explanation:
4 + 5 + 9 + 8 + 9 = 35.
-3x-5y=-7
Find slope of perpendicular line
Answer:
5/3
Step-by-step explanation:
We need to rewrite the equation in slope intercept form
y =mx +b where m is the slope
-3x-5y = 7
Add 3x to each side
-5y = 3x+7
Divide by -5
y = -3/5 x -7/5
The slope of this line is -3/5
Perpendicular lines have slopes that are negative reciprocals
-1 / (-3/5)
5/3
The slope of the perpendicular line is 5/3
Cassie has a box that is a cube with a side length of
4 inches. She needs a second box that has 3 times the
volume of the first box.
Answer: 192
Step-by-step explanation:
To find the volume of a shape, we multiply the length by the width by the height. Since this is a cube, we know that they are all 4, so we do 4 times 4 times 4. We get 64. SInce we know that Cassie needs a cube with a volume that is 3 times of the previous volume, 64, we multiply 64 by 3. The answer is 192.
Answer:
192 in³
Step-by-step explanation:
The volume of a cube is represented by raising one side length to the 3rd power.
4 x 4 x 4 = 64
64 is the volume of the first box.
The second box is 3 times the value of the third box, so the equation for the third box is:
64 x 3 = 192
I’m don’t understand stand these that well, can someone please explain step by step to get marked.
Answer:
10
Step-by-step explanation:
press calculate
pls give brainliest
Answer: 10
Step-by-step explanation:
The sign √ means square root. Squaring is like multiplying a number by its own self again ( for example, x times x is equal to x squared). A square root is like dividing the square by its own self ( for example, √x^2 is equal to x ).
The square root of 100 is 10, since 10 squared is equal to 100.
Nia answered 18 of the 40 questions on the common assessment correctly. What percent of the questions did she answer correctly? What are you looking for? Circle one: Part whole percent
Answer:
Nia answerd 45% of the questions correctly.
I have more question then this
9514 1404 393
Answer:
A. CCW 180° about the origin
Step-by-step explanation:
Figure B appears to be a reflection of Figure A across the origin. Such a reflection can be described by any of ...
reflection across the originrotation 180° CW about the originrotation 180° CCW about the originreflection across the x-axis followed by reflection across the y-axisreflection across the y-axis followed by reflection across the x-axis.what is 5/8x+4=3/8x+12
Answer:
x = 32
(The answer should be 32 if we are solving for x)
Complete the following.Write the answers in your journal
I learned filtering of solid and liquid mixtures can be saperated with the use of____ or____ as a medium in which_______material in the medium
Sieving is a method in which ________of ________sizes are separated from a mixture on the basis of the _____
Answer:
1.FILTER WATER 2.FILTER CLOTH
3.LIQUIDS
4.INSOLUBLE
5.DIFFERENCE
how do line segments differ from distance?
Answer:
It has length, but not width and depth
Pls help I need a good grade I’ll add extra points
Answer:
i
Step-by-step explanation:
you have to write about the remaining people if they had gas problems and write what happened next maybe he was arrested for the sauce made Thanks
Given (x – 7)2 = 36, select the values of x.
The values of the variable "x" which satisfy the equation (x – 7)² = 36 are x = 13 and x = 1.
To find the values of x in the expression (x - 7)² = 36, we need to solve for x using the given equation.
We Expand the square of the binomial: (x - 7)² as x² - 14x + 49,
Now, We Set up the equation as : x² - 14x + 49 = 36,
Next, We Subtract 36 from both sides: x² - 14x + 13 = 0,
Factoring the quadratic equation: (x - 13)(x - 1) = 0,
At last, Applying the zero-product property: x - 13 = 0 or x - 1 = 0,
Solving for x, We get : x = 13 or x = 1.
Therefore, The required values of "x" are x = 13 and x = 1.
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The given question is incomplete, the complete question is
Given the equation (x – 7)² = 36, Find the values of x.
Use the spinner below to find the probability of getting the following after 1 spin
Answer:
.0833 or 83.3333
Step-by-step explanation:
1/12=.0833
The probability of number greater than [tex]12[/tex] is zero.
What is probability ?Probability is the ratio of number of favorable outcome to the total number of outcome.
We have,
Total number of outcome [tex]=12[/tex]
And number of greater than [tex]12[/tex] [tex]=0[/tex]
So,
Probability [tex]=\frac{Number\ > \ 12}{Total\ number}[/tex]
[tex]=\frac{0}{12}[/tex]
Probability [tex]=0[/tex]
A probability of [tex]0[/tex] means that the event will not happen.
Hence, we can say that the probability of number of greater than [tex]12[/tex] is zero.
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A vertical pole, 75 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the ground to the top of the pole is θ=60∘, use the dimensions given to find the length of the shadow, a, to the nearest tenth of a foot. (Do not include units in your answer)
The length of the shadow, h, to the nearest tenth of a foot is 86.6feet
To get the length of the shadow from the given question, we will use the trigonometry SOH CAH TOA
The required setup will give a right-angled triangle.
If a vertical pole, 75 feet tall, casts a shadow onto the ground, the opposite side of the triangle as shown will be 75 feet
The angle of elevation is 60 degrees
The length of the shadow will be the hypotenuse of the triangle as shown:
According to the trigonometry identity:
[tex]sin \theta = \frac{opp}{hyp}\\sin60^0 = \frac{75}{h}\\h = \frac{75}{sin60^0}\\h =\frac{75}{0.8660}\\h= 86.6feet[/tex]
Hence the length of the shadow, h, to the nearest tenth of a foot is 86.6feet
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Someone pls help- am struggling.
500 = 400 + 50s. Therefore, Bart can buy 2 pairs of shoes.
=============================================================
Explanation:
s = number of pairs of shoes
50s = amount spent on shoes ($50 per pair)
50s+400 = total amount spent on shoes and uniforms
That expression is the same as 400+50s because we can add numbers in any order we want. Set this equal to the $500 he started with to get the equation 500 = 400 + 50s
We have enough info to determine the answer must be choice B
We can stop here if you wanted.
----------
Let's solve that equation for s
500 = 400 + 50s
400 + 50s = 500
50s = 500-400 .... subtract 400 from both sides
50s = 100
s = 100/50 .... divide both sides by 50
s = 2
This means he can buy 2 pairs of shoes.
Buying the shoes only will cost 50s = 50*2 = 100 dollars, which on top of the $400 for the uniforms, leads to a grand total of 400+50s = 400+100 = 500 dollars. This helps confirm we have the correct value for s.
need help on homework plz and thank u :)
Answer: Its b
Step-by-step explanalson
becaues x always equals 7 in a factor
:)
Answer:
it is the second answer.
Need help with this one please explain how you got it
Answer:
B) 40 feet
Step-by-step explanation:
Essentially, there are two similar right triangles in the given problem.
base_L = Base [larger triangle] = 60 ft
base_S = Base [smaller triangle] = 6 ft
x = leg (larger triangle)
y = leg (smaller triangle) = 4 ft
Using the given proportion to solve for the value of x:
[tex]\frac{x}{base_{_L} } = \frac{y}{base_{_S} }[/tex]
[tex]\frac{x}{60ft} = \frac{4 ft}{6 ft}[/tex]
6x = 240
Divide both sides by 6:
6x/6 = 240/6
x = 40
You paid $375 in simple interest on an 8 year loan at 1.5% interest. How much did you
borrow?
It would be $0.47 monthly interest and $5.63 yearly interest
ey bud can you help me?
Answer:
sup everybody how's it been for yall?
Step-by-step explanation:
this is the last few hours of my free brainly premium so I just wanted to say if you love brainly you'll love brainly premium
Express the following quentitis as ratio 10k to 50k
Answer:
watch me whipzdudbbd iv ex
lena sells custom printed tshirts at her shop. she can sell 120 T-shirts in a month if she charges $14 for each tshirt
Answer:
14(120)t
Step-by-step explanation:
hopes this helps
c: how long does it take the snail to crawl 85 inches
NEED ANSWER ASAPP PLSSS
INCLUDES PICTURE OF GRAPH
Answer:
8 minutes, 30 seconds, by the look of the graph.
Step-by-step explanation:
At a distance of 10 inches, 1 minute has passed.
So multiply that by 8.5, and you have 85 inches travelled over 8 minutes, 30 seconds.
8mins and some 30secs according to the graph
How many groups of 2/3 are in 3/5
To find the answer, we will need to divide 3/5 by 2/3.
3/5 / 2/3
3/5 x 3/2
9 / 10
There are 9/10 groups of 2/3 in 3/5.
Hope this helps!! :)
If you divide 60 liters into 10 parts, there will be 6 liters each. How many liters would there be if you had 7 of these groups?
Answer:
I'm pretty sure 70 liters
Step-by-step explanation:
because 60÷10=6
so 70÷10=7