Answer:
P(X is greater than 30) = 0.06
Step-by-step explanation:
Given that:
Sample proportion (p) = 0.5
Sample size = 30
The Binomial can be approximated to normal with:
[tex]\mu = np = 50 \times 0.5 \\ \\ \mu= 25[/tex]
[tex]\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{50 \times (0.5)(1-0.5) } \\ \\ \sigma = 3.536[/tex]
To find:
P(X> 30)
So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5
Normal distribution:
x = 30.5, [tex]\mu[/tex] = 25, [tex]\sigma[/tex] = 3.536
Using the z test statistics;
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
[tex]z = \dfrac{30.5 - 25}{3.536}[/tex]
[tex]z = \dfrac{5.5}{3.536}[/tex]
z = 1.555
The p-value for P(X>30) = P(Z > 1.555)
The p-value for P(X>30) = 1 - P (Z< 1.555)
From the z tables;
P(X> 30) = 1 - 0.9400
Thus;
P(X is greater than 30) = 0.06
4 cups are needed for 12 people how many cups are needed for 4 people
Answer:
3
Step-by-step explanation:
12/4=3
Answer:
4/3 cups or 1 1/3 cups
Step-by-step explanation:
4 cups x cups
----------------- = --------------
12 people 4 people
Using cross products
4 * 4 = 12x
16 = 12x
Divide each side by 12
16/12 = x
4/3 = x
1 1/3 cups
Please someone help and explain, I don't understand what it means
Answer:
B
Step-by-step explanation:
you keep adding 2 to your previous answer
Which ordered pair is a solution of this equation? -6x + y = 35 Click on the correct answer. (-1,-7 (-6,-1) (-1,-6) (-7,-1)
Answer:
The ordered pair (-6, -1) is the only solution.
Step-by-step explanation:
-6x + y = 35
Let's plug in the points.
(-1, -7) --> -6(-1) - 7 = 6 - 7 = -1 which does not equal 35
(-6, -1) --> -6(-6) -1 = 35
(-1, -6) --> -6(-1) - 6 = 0 which does not equal 35
(-7, -1) --> -6(-7) - 1 = 41 which does not equal 35
A beauty supply company has 5 gallons of 20% hydrogen peroxide solution on hand. The
company also has a nearly limitless amount of a solution that contains 30% hydrogen
peroxide. How many gallons of the 30% hydrogen peroxide solution should the company add
to the 20% hydrogen peroxide solution to obtain a mixture that is 23% hydrogen peroxide?
Write your answer as a whole number or as a decimal rounded to the nearest tenth.
Answer:
2.1 gallons
Step-by-step explanation:
Let V = volume of 20 % hydrogen peroxide = 5 gallons, V₁ = volume of 30 % hydrogen peroxide and V₃ = volume of 23 % hydrogen peroxide. So the final volume is V + V₁ = V₂
V₁ + 5 = V₂ (1)
Also, since quantity = concentration × volume,
Let Q = quantity of 20% volume hydrogen peroxide = 0.2V, Q₁ = quantity of 20% volume hydrogen peroxide = 0.3V₁ and Q₂ = quantity of 23% volume hydrogen peroxide = 0.23V₂
So, 0.2V + 0.3V₁ = 0.23V₂
0.2 × 5 + 0.3V₁ = 0.23V₂
1 + 0.3V₁ = 0.23V₂
0.3V₁ - 0.23V₂ = -1 (2)
substituting equation (1) into (2), we have
0.3V₁ - 0.23(V₁ + 5) = -1
expanding the brackets, we have
0.3V₁ - 0.23V₁ + -0.23 × 5 = -1
0.07V₁ - 1.15 = -1
adding 1.15 to both sides, we have
0.07V₁ = -1 + 1.15
0.07V₁ = 0.15
dividing both sides by 0.07, we have
V₁ = 0.15/0.07
= 2.143 gallons
≅ 2.1 gallons to the nearest tenth
So, we need 2.1 gallons of 30 % hydrogen peroxide to obtain a mixture that is 23 % hydrogen peroxide.
Answer this please and get points
Answer:
She has 5 nickles
Step-by-step explanation:
if she has 3 quarters, that amounts to 75 cents. The question states that the amount of nickles is the (the number of quarters) + 2, with this thought in mind, she would have 5 nickles, each worth 5 cents each, equaling out to 25 cents. the original 75 cents of the quarters and now the 25 cents from the nickels equals 100 cents (A dollar)
Answer:
60 because she had 50 nickels and 2 extra making 60 nickels
Question 3 (10 points)
(01.07 MC)
The mass of the Eiffel Tower is about 9.16 ⋅ 106 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 108 kilograms. Approximately how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower? Show your work and write your answer in scientific notation. (10 points)
Answer:
7.96 × 10⁸ kg
Step-by-step explanation:
Step 1: Given data
Mass of the Eiffel Tower (mE): 9.16 × 10⁶ kgMass of the Golden Gate Bridge (mG): 8.05 × 10⁸ kgStep 2: Determine how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower
To determine this ratio, we need to do the following subtraction.
mG - mE = 8.05 × 10⁸ kg - 9.16 × 10⁶ kg = 7.96 × 10⁸ kg
The Golden Gate Bridge has approximately 7.96 × 10⁸ kg more than the Eiffel Tower.
Find the volume of a pyramid with a square base, where the side length of the base is
14.7 in and the height of the pyramid is 17.2 in. Round your answer to the nearest
tenth of a cubic inch.
Answer:
1238.9
Step-by-step explanation:
The volume of pyramid with square a square base is 1239 [tex]inch^{3}[/tex]
What is pyramid with square base?A three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid
We have
Side length of base(L) = 14.7 inch
Height of pyramid(H) = 17.2 inch
Given ,Base is a square then
length=width(w)=14.7 inch
We know the formula of volume of pyramid = 1/3(L×W×H)
= 1/3 (14.7 × 14.7 × 17.2)
= 1/3 × 3716.748
= 1238.916
= 1239 [tex]inch^{3}[/tex]
Hence, The volume of pyramid is 1239 [tex]inch^{3}[/tex]
To learn more pyramid from here
https://brainly.in/question/19357246
#SPJ2
Jo got 16 out of 20 on her test. What is Jo's grade? Did she pass? Explain how you got your answer.
Answer:
16/20 is 80
Step-by-step explanation:
What is the number that JO would pass at. I think Jo has passed and I got my answer because when u do 16 divided by 20 you get 0.8 and that is 80
Which of the following describes a correct method for solving the equation: -7/2n + 5= -16 A. Add 5 to both sides, then devide both sides by 2/7. B. Subtract 5 from both sides, then add 7/2 to both sides. C. Add -5 to both sides, then multiply both sides by -2/7. D. Subtract 5 from both sides , then multiply both sides by 7
Answer:
If the use the method ''Add -5 to both sides, then multiply both sides by -2/7'', we can get the value n = 6.
Thus, the correct option is 'C'.
Step-by-step explanation:
Given the equation
[tex]-\frac{7}{2}n+5=-16[/tex]
Let me solve this using the correct method
[tex]-\frac{7}{2}n+5=-16[/tex]
Add -5 to both sides
[tex]-\frac{7}{2}n+5+\left(-5\right)=-16+\left(-5\right)[/tex]
simplify
[tex]-\frac{7}{2}n=-21[/tex]
Multiply both sides by -2/7
[tex]-\frac{7}{2}n\times -\frac{2}{7}=-21\times -\frac{2}{7}[/tex]
simplify
[tex]n=6[/tex]
Therefore, if the use the method ''Add -5 to both sides, then multiply both sides by -2/7'', we can get the value n = 6.
Thus, the correct option is 'C'.
. Rachel used 4.5 cups of apple juice in a holiday fruit punch that serves 12 people. Art used 4.75 cups of apple juice in a holiday fruit punch that serves 10 people. How much more apple juice is in one serving of Art's holiday punch? *
Answer: the 10 people served .1 more cups per serving than the 12 people
Step-by-step explanation:
4.5/12=.375
4.75/10=.475
The difference between .375 and .475 is .1
Which expression below does NOT equal 54?
O A. 3 x 3 x 6
O B. 2 X 3 X9
C. 2 X 3 X 3 X 3
O D. 2 x 2 x 2 x 6
Keisha's selling pumpkin pie for 9.99. She always gives every customer a 5% of coupon. How much does the pumpkin pie cost now? PLZ HELP I WILL AWARD BRAINLIEST
Answer:
4.99
Hope I helped
Answer:
$9.49
Step-by-step explanation:
9.99*0.05=0.4995
9.99-0.4995=9.4905
Help I need the answer
The length of the base of an isosceles triangle is x. The length of a leg is 3x
- 7. The perimeter of the triangle is 63. Find x. *
20
22
11
12
Answer:
Option C: 11 is the correct answer.
Step-by-step explanation:
Given that:
Length of base of isosceles triangle = b = x
The length of leg of triangle = a = 3x-7
Perimeter of triangle = 63
Perimeter of an isosceles triangle is given by
Perimeter = 2a + b
Putting values in the formula
63 = 2(3x-7) + x
63 = 6x-14+x
63 = 7x-14
63+14=7x-14+14
77=7x
7x=77
Dividing both sides by 7
[tex]\frac{7x}{7}=\frac{77}{7}\\x=11[/tex]
The value of x is 11.
Hence,
Option C: 11 is the correct answer.
A box contains 1 3/4 Pasta how many ounces of pasta are in the box
Answer:
Step-by-step explanation:
is there more information to the question??
Please help! I’ll give brainlest. Idk the answer bruh it’s for a grade :/
Which scenario could be represented by this graph?
A. After realizing that the house is cold Harry turns up the thermostat the temperature of the house gradually increases at constant rate the x-axis represents time the y-axis represents temperature
B. After realizing the house is too warm Harry turns on the air conditioner the temperature of the house gradually decreases at constant rate the x-axis represents time the y-axis represents temperature
C. The house temperature rises until it reaches the thermostat temperature and then it remains constant the x-axis represents time the y-axis represents the temperature
D. Harry runs the window air conditioner until the temperature falls to a comfortable level the x-axis represents time the y-axis represents temperature
Answer:
A
Step-by-step explanation:
Process of elimination.
It can't be B or D cause those say that the temp go down while in your graph it goes up, and C is saying that it rises and becomes constant while in your graph it's the other way around.
Answer:
A.
Step-by-step explanation:
I said so
Ahmed works in a factory his normal rate of pay is £12.00 per hour
When ahmed works on sundays he is paid overtime for each hour.The overtime rate of pay is 1 1/4 times his nomal hourly rate. Lat weekend Ahmed worked 9 hours on Saturday and 6 hours on Sunday. Work out how money he earned during that weekend
Answer:
Ahmed earned £198.00 on that weekend.
Step-by-step explanation:
Given that:
Normal hourly pay = £12.00
Overtime pay = [tex]1\frac{1}{4}[/tex] of normal rate
Overtime pay per hour = [tex]\frac{5}{4}*12[/tex]
Overtime pay per hour = £15.00
Hours worked on Saturday = 9 hours
Amount earned on Saturday = 9*12 = £108.00
Hours worked on Sunday = 6 hours
Amount earned on Sunday = 6*15 = £90.00
Total amount earned on weekend = 108+90 = £198.00
Hence,
Ahmed earned £198.00 on that weekend.
Solve the system of equations given below.
y - 15 = 3
-2.1 + 5y = -3
Answer:
1) y=18
2)y=-0.18
Step-by-step explanation:
1) y-15=3. Add 15 on both sides.
y=18
2)-2.1+5y=-3. Add 2.1 on both sides
5y=-0.9. Divide 5 on both sides
y=-0.18
i dont understand this question can someone help me?
Answer:
Step-by-step explanation
turn the 4/11 into a decimal(0.3636) then see were it on the line then you can see wich is less
Can u help me with this :p
Answer:
12.5
10
Step-by-step explanation:
10(1/2+3/4)
5+7.5
12.5
10(1/2)+(8(3/4)-1)
5+(6-1)
5+5
10
Eight teams of high school students helped clean up trash in the community.
Afterwards, they shared 55 pizzas equally.
How many pizzas did each team get?
The Pythagorean triple (5, 12, 13) can't be generated from the identity (x? 1)2 + (2x)2 = (x2 + 1)
which has only one variable, because the length of the hypotenuse (13 units) and the length of the longer
of the other two legs (12 units) are not 2 units apart.
Find a two-variable identity by incorporating a second variable, y, into the single-variable identity. Note
that x > 1, x > y, and x and y are positive integers.
Select the correct answer.
5
9514 1404 393
Answer:
A. (x² -y²)² +(2xy)² = (x² +y²)²
Step-by-step explanation:
As is often the case with problems like this, the correct answer (A) is the only answer that is actually a true equation.
Choices B, C, D are only true if x or y is zero--a violation of the given condition that they are positive integers.
Create a table
please help me with this one more.a bag contains 120 marbles some are red and the rest are black there are 19 red marbles for every black marble how many red marbles are in the bag
Answer:
pls like if not my mom will die
Step-by-step explanation:
a hotel provides free parking for guests and charges 225 per night passion y equals total cost to stay at the hotel Annex equals number of night
help pls important!!!!!!!!!
Answer:
y = 225(x)
Step-by-step explanation:
Given:
Cost per night = 225
Total cost = y
Number of nights = x
Computation:
Total cost = (Cost per night)(Number of nights)
So,
y = 225(x)
In a study of distances traveled by buses before the first major engine failure, a sample of 191 buses results in a mean of 96,700 miles and a population standard deviation 37,500 miles. Calculate the appropriate test statistic to test the claim that the mean distance traveled before a major engine failure is more than 90,000 miles.
Answer:
The test statistics is [tex]z = 2.47[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 191 \ buses
The sample mean is [tex]\= x = 96 700 \ miles[/tex]
The population standard deviation is [tex]\sigma = 37 500 \ miles[/tex]
The null hypothesis is [tex]H_o : \mu = 90 000[/tex]
The alternative hypothesis is [tex]H_a : \mu > 90 000[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]z = \frac{96700 - 90 000 }{ \frac{37500}{\sqrt{191} } }[/tex]
=> [tex]z = 2.47[/tex]
Bill conducts a study during which he compares two, independent groups and he gets a significance value of .16 (i.e., p=.16). He looks at the means of the groups and sees the Group 1 Mean is 70 and the Group 2 mean is 77. He concludes they are different. (a) Why is Bill wrong? (b) What exactly does his p-value mean, in this instance?
Answer:
P-value is a parameter to compare with the significance level in order to make decisions about rejecting or not the hypothesis
Step-by-step explanation:
When you are developing a hypothesis test, in order to compare two means ( μ₁ and μ₂ ) you have two hypothesis
Null Hypothesis H₀ μ₁ = μ₂
And depending on the problem statement, the alternative hypothesis could be
Alternative Hypothesis Hₐ (1) μ₁ > μ₂
(2) μ₁ < μ₂
(3) μ₁ ≠ μ₂
Now if the result of the test determines that H₀ is rejected you accept in case
(1) μ₁ > μ₂
(2) μ₁ > μ₂
(3) μ₁ ≠ μ₂
In any case, you need a confidence Interval, and as consequence you established a significance level to do your test. These two concept defines the acceptance and the rejection region. Just for instance
CI = 90% means that the acceptance region is 90 %, and at the same time, the rejection area is 10 %. That 10 % will be used as follows,
Case 1 you are developing a one tail-test to the left ( side of the curve )
Case 2 you are developing a one tail-test to the right
Case 3 you are developing a two-tail test ( in that case you need to split α into two equal areas one for each tail.
Now P-value is a tool for decision is an area that you can compare with α to accept or reject H₀.
In our particular case suppose we are testing
H₀ μ₁ = μ₂
Hₐ μ₁ < μ₂
Let´s say CI = 95 then α = 5 % α = 0,05
And we get P-value = 0,16
Then area 0,16 > 0,05 Then we are in the acceptance region
(that condition really implies that z(s) < z(c)
What is the square root of 3
Answer:
1.73205080757
Step-by-step explanation:
Th4t's the answer
The happy apple farm has 560 apple trees. Each apple tree has 169 apples. How many apples are on all the trees together?
Answer:94,
Step-by-step explanation:
Please help I don’t understand this.
The average rate of change of g(x) over the interval [2, 8] is given by
(g (8) - g (2)) / (8 - 2)
In other words, it's the slope of the line through the points (2, g (2)) and (8, g (8)).
Use the definition of the function to evaluate it at the points in the numerator:
• 8 ≥ 4, so using the second piece, g (8) = -0.5(8) + 8 = 4
• 2 < 4, so g (2) = 5(2) + 1 = 11
Then the average rate of change is
(g (8) - g (2)) / (8 - 2) = (4 - 11) / 6 = -7/6
Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a function for the volume V of the tray in terms of x
Answer:
you can use the same type of power to make it easier