Answer:
The null and alternative hypotheses are:
[tex]H_{0}: p=0.67[/tex]
[tex]H_{a} : p <0.67[/tex]
Under the null hypothesis, the test statistic is:
[tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
Where:
[tex]\hat{p}= \frac{23}{42} = 0.5476[/tex]
[tex]\therefore z = \frac{ 0.5476 -0.67}{\sqrt{\frac{0.67(1-0.67)}{42} }}[/tex]
[tex]=\frac{-0.1224}{0.072555398}[/tex]
[tex]=-1.69[/tex]
Now, we have to find the left tailed z critical value at 0.01 significance level using the standard normal table. The z critical value at 0.01 significance level is:
[tex]z_{critical} = -2.33[/tex]
Conclusion: Since the test statistic does not fall in the critical region, therefore, we fail to reject the null hypothesis, and conclude that there is not sufficient evidence to say that the population proportion of women athletes who graduate from the university is now less than 67%.
Answer: No
Step-by-step explanation:By considering the given information , the null and the alternative hypotheses will be :-
[tex]H_0: p=0.67\\\\H_a: p<0.67[/tex]
Since the alternative hypotheses is left-tailed , so the test applied here is left-tailed.
Sample size : n= 42
The sample proportion of graduated : [tex]\hat{p}=\dfrac{23}{42}\approx0.55[/tex]
The test statistic for population proportion :-
[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
i.e. [tex]z=\dfrac{0.55-0.67}{\sqrt{\dfrac{0.67(1-0.67)}{42}}}\approx-1.65[/tex]
The p-value : [tex]P(z<-1.645)=0.0494715[/tex]
Since the p-value is greater than the significance level, then we do not reject the null hypothesis.
Hence, it does not give enough evidence to indicate that the population proportion of women athletes who graduate from the university is now less than 67%.
The local parts shop buys a machine that costs $500,000. Its value depreciates exponentially each year by 10%. what is the machines value after 5 years
Answer:
$250,000
Step-by-step explanation:
5 times 10% is 50%
50% of $500,000 is $250,000
Your answer is $250,00
The same king cobra is 4.237 meters long. Round the length to the nearest meter.
Answer:
4
Step-by-step explanation:
since 2<5, 4.237 ≈ 4
Simplify: –3(y + 2)2 – 5 + 6y
Answer:
First you'll need to times 3 by 2 which makes 6 which makes your expression now -6(y+2)-5+6y. Then you make -6(y+2) into -6y-12. Which now makes it into -6y-12-5+6y which makes -17 as the answer
Answer:
-3 squared +(-6) +-17
Step-by-step explanation:
Simplify. 2(x + 3y - 3) - (2x + 6y - 7) A) 0 B) 1 C) -3y + 4 D) -6x + 10
Please help, Thanks!
The value of the expression is 1.
Option B is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2(x + 3y - 3) - (2x + 6y - 7)
= 2x + 6y - 6 - 2x - 6y + 7
Combining like terms.
= -6 + 7
= 1
Thus,
The value of the expression is 1.
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Soft drinks cost $1.89 and refills cost $0.25 each. With $3.80 to spend on the soft drink and refills, what is the maximum number of refills that you can get?
How is the product related to the first factor?
4/9 × 7/3
The product is less than .4/9
The product is equal to .4/9
The product is greater than .4/9
The product is greater than .7/3
Answer:
5/5 austin
Step-by-step explanation:
Please hurry!!!!
Does anyone have “algebra 1 B Part 1 semester exam” from Connecticut academy??? I need them please!!!
I'm not in Connecticut academy, but I could help you!!!! :) BTW, I also do Algebra.... Soooo.. I can help!!!
Final answer:
I cannot provide the exam you're seeking, but I can help with Algebra 1 questions.
Explanation:
Apologies, but I cannot provide you with the exam you're seeking. However, I'd be more than happy to help you with any specific questions or concepts you're struggling with in Algebra 1. Just let me know what you need assistance with!
Hyun Yong wants to donate more than $5000 in laptops and bicycles. Each laptop that he donates is worth $200, and each bicycle that he donates is worth $100. Write an inequality that represents the number of laptops (L) and bicycles (B) that Hyun Yong should donate to achieve his goal.
Answer:
$200L+$100B ≥$5000
Step-by-step explanation:
Given :
Hyun Yong wants to donate more than $5000 in laptops and bicycles.
Each laptop that he donates is worth $200, and each bicycle that he donates is worth $100.
To Find : An inequality that represents the number of laptops (L) and bicycles (B) that Hyun Yong should donate to achieve his goal.
Solution :
L denotes the number of laptops.
Since cost of each laptop is $200
Thus cost of L laptops = $200L
B denotes the number of bicycles.
Since cost of each bicycle is $100.
Thus cost of B bicycles = $100B
Now, he wants to donate more than $5000 in laptops and bicycles
So, inequality will be : $200L+$100B ≥$5000
Hence, An inequality that represents the number of laptops (L) and bicycles (B) that Hyun Yong should donate to achieve his goal:
$200L+$100B ≥$5000
If f(x)=4x-6 and g(x)=√x+2, what is (f°g)(7)
Answer:
[tex]4\sqrt{7} +2[/tex]
Step-by-step explanation:
fog =4[tex]\sqrt{x}[/tex]+8-6
= 4[tex]\sqrt{x}[/tex] +2
fog(7) = 4[tex]\sqrt{7}[/tex]+2
Two neon lights are turned on at the same time. One blinks every 4 seconds and the other blinks every 6 seconds. In 60 seconds, how many times will they blink at the same time?
Answer: They have 5 common multiples, so your answer would be 5.
Step-by-step explanation: To find the answer, find the multiples of both 4 and 6 up to 60, then find the common numbers. Count how many common number there are, and that would be your answer (5)
Answer:5
Step-by-step explanation:
Find how many multiples they share until 60
What is the solution to the following equation? 3/8 x + 6(x + 3) = -5( 1/4 x - 1) + 6x x = -13 x = 13 x = 8 x = -8
Answer:
-8 Is the answer
Step-by-step explanation:
Each day, Karen makes 45 loaves of bread at the bakery where she works. Each loaf of bread requires 5 cups of flour. One pound of flour is equivalent to about 4 cups of flour. About how many pounds of flour does Karen need in order to make the loaves of bread?
Answer: 5cups of flour = 1 loaf of bread
45 loaves of bread multiplied by 5 cups of four = 225 cups of flour to make 45 loaves of bread.
225 cups of flour divided by 4 = 56.25 pounds of flour.
Karen needs approximately 56.25 pounds of flour to make the loaves of bread.
Explanation:To find how many pounds of flour Karen needs to make the loaves of bread, we need to convert the number of cups into pounds. Each loaf requires 5 cups of flour, and 1 pound of flour is equivalent to about 4 cups. Therefore, we can set up a proportion to find the number of pounds:
pounds of flour / cups of flour = number of loaves
Let's solve for pounds of flour:
pounds of flour = (number of loaves * cups of flour per loaf) / cups of flour per pound
Plugging in the numbers, we get:
pounds of flour = (45 * 5) / 4 = 56.25 pounds
Therefore, Karen needs approximately 56.25 pounds of flour to make the loaves of bread.
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Which relation is a function?
{(4, 2),(3, 3),(2, 4),(3, 2)}
{(1, 4),(2, 3),(3, 2),(4, 1)}
{(1, 2),(2, 3),(3, 2),(2, 1)}
{(1, −1),(−2, 2),(−1, 2),(1, −2)}
It would be your second option. It's the only one that passes the vertical line test.
Answer:
2nd option
Step-by-step explanation:
help. Geometry. Branliest!!
1. Correct. The reflection happens over segment AB and then you translate 6 units to the right and 3 units up. This will move point A to D, B to F, C to E, to have the triangles line up perfectly.
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2. Problem 1 already confirmed the triangles are congruent based on how they line up perfectly. Another way to prove this is to either use the SAS (side angle side) or LL (leg leg) theorem. With SAS, we need a pair of congruent sides and a pair of angles, with the angles between the two sides. The horizontal and vertical sides can be easily measured. The angles between the two sides are 90 degree angles. Because we have right triangles, we can use LL which is really just a special case of SAS.
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3. Segment EF is 5 units. You can use the pythagorean theorem with a = 3 and b = 4 to solve a^2+b^2 = c^2 to get c = 5. Or you can use the fact that BC = 5 is given to us, so EF must also be 5 as well. This is because of the idea that if two triangles are congruent, then their corresponding pieces must be the same as well.
Real world example: imagine having 2 houses that are perfect clones of each other. If this is the case, then surely their front doors would be identical copies as well. In this analogy, a house is a triangle, while the front door is the segment.
3/4 ^2
WRITE IT IS A WHOLE NUMBER
Answer:
No.
Step-by-step explanation:
The whole numbers are 0, 1, 2, 3, ... (3/4)^2 is 9/16, which is not a whole number.
4 less than the product of 6 and a number ?? Help
Answer:
6n - 4
Step-by-step explanation:
product means to multiply
let the number be n, then
product of 6 and n = 6 × n = 6n
4 less than this product means subtract 4 from it, hence
6n - 4 ← required expression
if (x+2) is a factor of h(x) = x^3 + 8x² + Ax + 4 , then valoe of A is:
If [tex]x+2[/tex] is a factor of [tex]h(x)[/tex], then by the polynomial remainder theorem, [tex]h(-2)=0[/tex]. So
[tex]h(-2)=(-2)^3+8(-2)^2+A(-2)+4[/tex]
[tex]-8+32-2A+4=0\implies2A=28\implies A=14[/tex]
which rate describes a unit price? $1.00 for 2 lemons $3.00 for every pound $4.00 for 3 slices of pizza $6.00 for every 6 bottle
Final answer:
A unit price is the price for one unit of an item. Among the options provided, $3.00 for every pound represents a unit price because it tells us the cost per single pound.
Explanation:
The question asks which rate describes a unit price. A unit price is the cost per single item or measure. It is calculated by dividing the total price by the number of units. In the context of the examples provided, a unit price is expressed as a cost for one lemon, one pound, one slice of pizza, or one bottle.
$1.00 for 2 lemons => $0.50 per lemon$3.00 for every pound => $3.00 per pound (this is a unit price)$4.00 for 3 slices of pizza => $1.33 per slice of pizza$6.00 for every 6 bottles => $1.00 per bottleTherefore, out of the provided options, $3.00 for every pound best represents a unit price as it is a rate describing the cost of one pound.
x=2y+7
x=y+4
with substitution
x = 2y + 7 (*)
x = y + 4 (**)
Substitute (*) to (**):
2y + 7 = y + 4 subtract 7 from both sides
2y = y - 3 subtract y from both sides
y = -3Put the value of y to the second equation:
x = -3 + 4
x = 1
can anyone please solve this...............
Answer:
use photo math its helps alot
Step-by-step explanation:
Answer:
3 raise to 15
Step-by-step explanation:
Greatest to least .01 1/8 .23 1/5
Answer:
0.23, 1/5, 1/8, 0.01
Step-by-step explanation:
1/8=0.125
1/5=2/10=0.2
0.01
0.125
0.23
0.2
0.0..., 0.1.., 0.2...
0.20 and then 0.23
Answer:
.23 ,1/5 , 1/8 ,.01
Step-by-step explanation:
.I will put them all in decimal form
.01 = .01
1/8 = .125
.23 = .23
1/5 = .2
largest to smallest
.23 >..2 < .125 < .01
Put them back in their original form
.23 >1/5 > 1/8 >.01
.23 ,1/5 , 1/8 ,.01
I need help on 2,4,6 it will be worth a 10 points
Answer:
2 is 13
4 is 1
6 is 16
Step-by-step explanation:
35/k = 7/3 i need this one done asap too lol
Answer:
k=15
Step-by-step explanation:
I currently have 4 wild bunnies running around my yard. They are freaking annoying. Especially because they are doubling in number every month. Assuming this continues how many bunnies will be annoying me in 2 years.
Answer:
y = 67108864 rabbits
Step-by-step explanation:
The equation for growth is
y= a(b)^(t)
where a is the initial amount
b is the growth rate and
t is the time in months
2 years = 24 months
Assuming the population doubles at the end of the 1st month
Substituting in what we know
y = 4 (2) ^ (t)
y= 4 *2 ^ 24
y = 4*16777216
y = 67108864 rabbits
If they do not double at the end of the first month and wait until the second month, divide this number by 2
y = 4 (2) ^ (t-1)
y= 4 *2 ^ 23
y = 4*8388608
y = 33554432 rabbits
What is the area of this circle use 3.14
81
243.06
254.34
300
Answer:
254.34
Step-by-step explanation:
The formula for area of a circle is given by
A = pi * r^2
A = pi * 9^2
A = 81*pi
Using 3.14 as an approximation for pi
A = 3.14*81
A = 254.34
I'm so confused. Please help I tried the first time got 50 some thing then 33 then 20.25. How do I do this?
Answer:
Basically, you have to think: more bricks : more time
more workers : less time
2,400 bricks 6 workers takes 18 hours
You now have to solve for 4,500 blocks and 10 workers
4,500 / 2,400 = 1.875 (times greater)
10 / 6 = 1.666666666 (times less)
So, we get 18 hours, multiply it by 1.875 and divide it by 1.666666666
which equals 20.25 hours
So, it seems you were correct on your third try.
Step-by-step explanation:
A basketball player has made 80% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight's game he does the following. a) Misses for the first time on his fourth fourth attempt b) Makes his first basket on his fourth fourth shot c) Makes his first basket on one of his first 3 shots
a) The probability of missing for the first time on the fourth attempt is 0.16%. b) The probability of making the first basket on the fourth shot is 0.8%. c) The probability of making the first basket on one of the first 3 shots is 99.2%.
Explanation:a) To find the probability that the basketball player misses for the first time on his fourth attempt, we need to consider that each shot is independent. Since he has made 80% of his shots, the probability of making a shot is 0.8. Therefore, the probability of missing a shot is 1 - 0.8 = 0.2. Since the shots are independent, the probability of missing on the fourth attempt is 0.2 raised to the power of 4 = 0.0016, or 0.16%.
b) To find the probability that the basketball player makes his first basket on his fourth shot, we use a similar approach. The probability of making a shot is 0.8, and the probability of missing a shot is 0.2. The probability of making a shot on the fourth attempt is then 0.2 raised to the power of 3, multiplied by 0.8 = 0.2 * 0.2 * 0.2 * 0.8 = 0.008, or 0.8%.
c) To find the probability that the basketball player makes his first basket on one of his first 3 shots, we need to find the complementary probability. The probability of not making a basket on the first 3 shots is 0.2 raised to the power of 3 = 0.008. Therefore, the probability of making a basket on one of the first 3 shots is 1 - 0.008 = 0.992, or 99.2%.
Joseph is x years old. Andrea is 4 years older. Brandon is three times as old as Andrea. If you add together the ages of Joseph, Andrea, and Brandon the total comes to 101 years. How old is each person?
Answer: Joseph is 17 Andrea is 21 Brandon is 63
Step-by-step explanation:
The regular price of a jacket is $200. Today, the jacket is on sale. It is 20% off its regular price. The sales tax is 8%. If Steven buys the jacket today, how much will he pay?
Answer:
$172.80
Step-by-step explanation:
200*20%=40
200-40=160
160*0.08=12.8
12.8+160=172.80
Answer:
He pays $176
Step-by-step explanation:
First, to find 80% of 200, we can simply multiply 200 by .8.
200 x .8=160
Then, we add sales tax to that number. To find 8% of 200, multiply 200 by .08.
200 x .08=16
Then, add 16 to 160.
160+16= 176
Your answer is $176.
Hope this helps!
help w math question
1703%1/6
Answer:
If you are saying 1/6 of 1703% then your answer is 2.8383 repeating.
Step-by-step explanation:
Divide 1703 by 1/6