Answer:
The p-value of the test is 0.0869.
Step-by-step explanation:
In the 1990s, it was generally believed that genetic abnormalities affected about 5% of a large nation's children.
This means that the null hypothesis is:
[tex]H_{0}: p = 0.05[/tex]
Some people believe that the increase in the number of chemicals in the environment has led to an increase in the incidence of abnormalities.
This means that the alternate hypothesis is:
[tex]H_{a}: p > 0.05[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
5% tested at the null hypothesis:
This means that:
[tex]\mu = 0.05, \sigma = \sqrt{0.05*0.95}[/tex]
A recent study examined 384 randomly selected children and found that 25 of them showed signs of a genetic abnormality.
This means that [tex]n = 384, X = \frac{25}{384} = 0.0651[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.0651 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{384}}}[/tex]
[tex]z = 1.36[/tex]
p-value:
Testing if the mean is bigger than a value, so the pvalue is the probability of finding a value in the z table higher than 1.36, which is 1 subtracted by the pvalue of z = 1.36.
z = 1.36 has a pvalue of 0.9131
1 - 0.9131 = 0.0869
The p-value of the test is 0.0869.
What is the Area of Triangle RST? Round your answer to the nearest tenth. *
Answer:
Step-by-step explanation:
Answer:
88.5
Step-by-step explanation:
formula = ab ×(sin∅)/2
= 18×12 × (sin 55)/2
= 88.5
Let f(x) = - 4x + 5. Find and simplify f(3a-4).
f(3a-4)=
(Simplify your answer.)
Answer:
-12a+21
Step-by-step explanation:
-4*(3a-4)+5
-12a+16+5
-12a+21
ASAP Please Help! I need to show all the work. IM really confused. Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
square root of the quantity x minus 2 end quantity plus 8 equals x
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: x=11
Explanation: See below!
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
x = {6, 11}Step-by-step explanation:
[tex]\sqrt{x - 2} + 8 = x\\ \sqrt{x - 2} = x - 8\\x - 2 = (x - 8)^2\\x - 2 = x^2 - 16x + 64\\x^2 - 17x + 66 = 0\\(x^2 - 11x) - (6x - 66) = 0\\x(x - 11) - 6(x - 11) = 0\\(x - 6)(x - 11) = 0\\x - 6 = 6 >> x = 6\\x - 11 = 0 >> x = 11[/tex]
use the figure above to determine the measure. What is the measure of angle ABC?
a. 21°
b. 42°
c. 66°
d. 84°
The quotient of a number and -9 increased by 10.3 is 11.3. What is the equation?
Answer:
x/-9+10.3=11.3
Step-by-step explanation:
answer and show proof for brainliest
Answer:
12
Step-by-step explanation:
Add each number given = 132
132 / 6 (amount of given numbers)
=12
step 2. divide the amount of rice by the total 50/5=10
Answer:
oo nvjfdifhdkvcbjkggnnvv
Step-by-step explanation:
please mark me answer banilist
question for math; 2m3n-4/p-6
Answer:
2m3np−6p−4p
Step-by-step explanation:
That is the answer
Mario found 12 rocks for his rock collection. His sister found five times as many rocks as Mario. How many rocks did Mario’s sister find? *
Answer:
60 rocks
Step-by-step explanation:
12x5 = 60
Answer:
Step-by-step explanation:
marios sister found 60 rocks do 12x5.
CAN SOMEONE PLEASE TELL ME THE VALUE OF X, EQUATION, AND ANGLE MEASURES!!
Answer:
8x+10 = 12x - 18
28 = 4x
x = 7
Step-by-step explanation:
Betty correctly determined that the ordered pair (–3, 5) is a solution to the system of linear equations 6 x + 5 y = 7 and x + 4y = 17. Based on this information, which statement is correct?
Answer:
(-3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.
Answer:
D
Step-by-step explanation:
The preimeter of a rectangle is 50 inches. The width of the rectangle is 10 inches. What is the length of the rectangle?
PLEASE HELP
Drag each expression to the correct location on the table.
Place each algebraic expressions next to its corresponding verbal description.
5.13
45
523 – 4 3
513
the difference of 5 times the cube of x cubed and
the quotient of 4 times x and 3
5 times the cube of x divided by 4 times x
the quotient of the difference of 5 times x cubed and 4 and x
the cube of the difference of 5 times x and 4
Answer:
(a)
x cubed is
=x^3=x3
5 times the cube of x is
=5x^3=5x3
4 times x is
=4x=4x
the quotient of 4 times x and 3 is
=\frac{4x}{3}=34x
so,
the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 is
=5x^3-\frac{4x}{3}=5x3−34x ..........Answer
(b)
5 times cube of x is
=5x^3=5x3
5 times cube of x divided by 4 times x is
=\frac{5x^3}{4x}=4x5x3 ..........Answer
(c)
difference of 5 times x cube and 4 is
=5x^3 -4=5x3−4
so,
the quotient of the difference of 5 times x cube and 4 and x is
=\frac{5x^3-4}{x}=x5x3−4 ...........Answer
(d)
difference of 5 times x and 4 is
=5x-4=5x−4
so,
the cube of the difference of 5 times x and 4 is is
=(5x-4)^3=(5x−4)3 ............Answer
Exercises/Activities
Activity 1:
A. Tell whether the following represent a POINT, LINE O PLANE.
1 moon
9. stars at night
2 flagpole
10. bed surface
3 rooftop
11. holen
4 eyes
12. wire
5. playground
13. mole
6. string
14. hair strands
7 edge of door
15. TV screen
8. pimples
Answer:
Sorry but it's too hard to answer
Answer:
hiiiiiiiiiiiiiiiiiiii
I need the answer please and thank you worth 78 brainly points
Answer:
8+4pi
Step-by-step explanation:
2pi(r) = 8pi
8pi/2 = 4pi
8+4pi
Find the value of x plssssssss
Answer:
150 degrees
Step-by-step explanation:
Hi,
Since one of the angles is 30 degrees and this is a line, we know that 30 + u must equal 180 degrees.
30 + u = 180
Subtract 30 from 180 to find the value of u.
u is 150 degrees.
I hope this helps :)
Answer: 150 degrees
Step-by-step explanation:
A line is 180 degrees in total, since that acute angle is 30 degrees you just subtract 30 from 180, which gives you the other side ( which has to equal 180) of 150 degrees. If it were 40 degrees ( instead of 30) it would be 140 degrees on the other side.... etc
Can anyone help with this?? I need this grade but I just don't get it. Joshua has a ladder that is 12.8 ft long. He wants to lean the ladder against a vertical wall so that the top of
the ladder is 11 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground
to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to
support your answer.
Answer:
Yes the ladder is safe because 59.25 degrees < 75 degrees
Step-by-step explanation:
In the below photos I have included a screenshot of the equation I used, which I got from another user, and my work with an unfinished diagram and completed equations to the side
6.632.512 what is the value 3
Answer: i don’t know you can search it up
Step-by-step explanation:
Hector buys batteries for his Gameboy. He knows that
3 packs of batteries cost $4.26. How much should
Hector expect to pay for 5 packs of batteries?
Chris buys 5 apples for $2.60 .How much does one apple cost
Answer:
.52¢
Step-by-step explanation:
One apple cost 52 cents. The expression below represents the cost of an apple.
5a =2.60
5a/5= 2.60/5
a =0.52
Answer:
Each apple costs $0.52.
Step-by-step explanation:
Christ spent a total of $2.60 for 5 apples. We want to find the cost of one apple.
To find this: total cost/total apples
2.60/5 = 0.52
Each apple costs $0.52.
Let's check our answer.
If one apples costs $0.52, 5 apples should cost 0.52 • 5
0.52 • 5 = 2.60
This is how much Christ spent; therefore your answer is correct.
Hope this helps!
help, please will give Brainliest
9514 1404 393
Answer:
A. 57 7/9 ft³
Step-by-step explanation:
The volume of a rectangular prism (cuboid) is the product of its dimensions.
V = LWH
V = (4 1/3 ft)(3 1/3 ft)(4 ft)
If you drop the fractions, this becomes ...
V = (4 ft)(3 ft)(4 ft) = 48 ft³
You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.
__
If you feel the need to compute the volume exactly, you can do so using improper fractions.
V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³
Which of these sets of numbers contains no rational numbers?
NEED ANSWER NOW!
Answer:
the first option
Step-by-step explanation:
for a number to be rational, it should be able to be expressed as a fraction. Non terminal decimals must have a repeating pattern. Square roots of random numbers aren’t rational. Just like the first rule with decimals, the third number cannot be expressed as a fraction
Answer:
Step-by-step explanation:
it’s the first one
to listen 4.Rico used different units to measure this bulletin board. Which unit did he use the fewest of? A. inches listen B. all the same ta C. centimeters D. meters
is there a table or something you can add because I cant tell anything with the information you gave.
Brain ordered 3 large cheese pizzas and a salad. The salad cost $4.95. If he spent a total of 47.60 including the $5 tip, how much did each pizza cost? ( assume there is no tax)
Answer:
Each Pizza will cost $12.55
Step-by-step explanation:
we first going to subtract the following
$47.60 - 5 - 4.95 = $37.65
$37.65 / 3 (the number of pizza ) = $12.55
$12.55
Step-by-step explanation:
Amount spent on 3 pizzas= Total —( amount spent on salad + tip)
=460—(4.95+5)
= $37.65
cost of each pizza= 37.65÷3
= $12.55
Find derivative y=x^3-3x+2 step by step
Answer:
mark me branlist plz
Step-by-step explanation:
3x^2-3 step 1 - 3(2)^2-3=9
step 2 x=2, y=(2)^3- 3(2)+4
(2,6)
step 3 y=mx+b
6=9(2) +b
b=-12
y=9x-12 yr welcome have a great day
What is the slope of the line that passes through the points (-3, 1)(−3,1) and (7, -14) ?(7,−14)?
Answer: The answer for both is infinity. You might want to recheck the question as it is not very common but if the question is correct this is the answer to it:
Step-by-step explanation:
1. Using the formula m = y2 - y1 / x2 - x1
m = 1 - 1 / -3 -(-3)
m = 0/0
m = infinity
2. Using the formula m = y2 - y1 / x2 - x1
m = -14-(-14) / 7-7
m = 0/0
m = infinity.
An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times
Answer:
[tex]\frac{1}{25} =0.04[/tex] (Unusual)
Step-by-step explanation:
1/5 for one drawing
1/5 chance to win once, if there is only one game.
Then multiply them together to get 1/25.
If you need in decimal form 1/25 = 0.04 (unusual)
If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753
What is Permutation and Combination ?
A permutation is an act of arranging the objects or numbers in order.
Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.
An individual can win a prize by drawing the highest numbered card out of five cards.
Given that an individual makes 7 draws
p = 1/5 = 0.2
q = 1-P =0 .5
5 times corresponds to B( 7 , 0.2)
P(x = 2) = 7 C₂ (0.7)² (0.8)⁵
= 21 * 0.04 * 0.3277
= 0.2753
Therefore If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753
To know more about Permutation and Combination
https://brainly.com/question/13387529
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What is the standard form polynomial representing the volume of this shipping container?
Answer:
Volume = (24x⁵ + 78x⁴ - 147x³ - 624x² - 360x)
Step-by-step explanation:
Container given in the picture is in the shape of a cuboid.
And volume of a cuboid is measured by the expression,
Volume of a cuboid = Length × width × height
Now substitute the measure of the container's dimensions given in the picture
Volume = (4x² + 3x)(x²- 8)(6x + 15)
= [(4x² + 3x)(x²- 8)](6x + 15)
= [4x²(x² - 8) + 3x(x² - 8)](6x + 15)
= (4x⁴ - 32x² + 3x³ - 24x)(6x + 15)
= (4x⁴ + 3x³ - 32x² - 24x)(6x + 15)
= 6x(4x⁴ + 3x³ - 32x² - 24x) + 15(4x⁴ + 3x³ - 32x² - 24x)
= 24x⁵+ 18x⁴ - 192x³ - 144x² + 60x⁴ + 45x³ - 480x² - 360x
= 24x⁵ + 78x⁴ - 147x³ - 624x² - 360x
Answer:
V = 24x⁵+78x⁴-147x³-624x²-360x
Step-by-step explanation:
Factor this expression. 3x² - 6x O A. 3x(x - 2) B. 3x(x2 - 2) O C. 3(x-2) D. 3072 - 2)
Answer:
A. 3x (x-2)Step-by-step explanation:
Question:To factorise
3x² - 6x
Solution:3x² - 6x
[Taking common term out]
= (3x × x) - (3x × 2)
= 3x ( x - 2)
Result:Hence, factorised answer of 3x² - 6x is 3x (x-2) (Ans)
Solve the following inequalities and give the solutions in both set and interval notations.
-2x + 5 < -x + 25
Answer:
x> -20
x= -19,-18,-17,-16,.....
Step-by-step explanation:
-2x + 5 < -x + 25
-2x + x < 25- 5
-x < 20
x> -20
x= -19,-18,-17,-16,......