Answer:
135 miles
Step-by-step explanation:If you go 70 miles in ones hour, then you’ll go 140 miles in 2 hours. Then it took 6 minutes longer because of traffic, and in traffic he drove 1 mile excluding 5 because he was 5 mph slower.
A Government company claims that an average light bulb lasts 270 days. A researcher randomly selects 18 bulbs for testing. The sampled bulbs last an average of 260 days, with a standard deviation of 90 days. If the CEO's claim were true, what is the probability that 18 randomly selected bulbs would have an average life of no more than 260 days
Answer:
31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question, we have that:
[tex]\mu = 270, \sigma = 90, n = 18, s = \frac{90}{\sqrt{18}} = 21.2[/tex]
What is the probability that 18 randomly selected bulbs would have an average life of no more than 260 days?
This is the pvalue of Z when [tex]X = 260[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{260 - 270}{21.2}[/tex]
[tex]Z = -0.47[/tex]
[tex]Z = -0.47[/tex] has a pvalue of 0.3192.
31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days
mr dayton uses 8 cups of flour to make three identical loaves of bread how much flour is in each loaf
Answer:
4!
Step-by-step explanation:
Hope this helped
In the expression 7g + 15, g is the
O coefficient
O variable
constant
operation
Easy question: 9.75 x 3.5 = ? (15 points)
If a=0 b=0 then complex number a+bi is what type NEED HELP THANKS
Answer:
imaginary
Step-by-step explanation:
b ≠ 0 and a = 0
a + i b ===> a -> real and b i is imaginary
Lamar roasted Franklin 9 times on monday Lamar roasted Franklin 12 times on Tuesday, How many times did Lamar Roast Franklin in Total?
Answer:
21 times
Step-by-step explanation:
Answer:
about 420 times
Step-by-step explanation:
9×12=108 plus the amount of dollars Lamar gained from roasting Franklin, which was approximately $312 therefore they were both high when this took place
What is the volume of a box with width 2 2/3 inches, length 3 1/3 , inches, and height 2 1/3. inches?
Answer:
It is 20.74 and the fraction way it is 20 20/27
Enter the difference as a mixed number
Answer:
The answer is 2[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
So you get 2 4/5
Answer:
28/10
Step-by-step explanation:
To make it easier, you can multiply the whole numbers by the denominators, and then add the numerator to the total. For the first one, do 4 x 10 = 40. Then add 5, and you get 45. The fraction will then be 45/10. For the second one, 1 x 10 = 10. Then add 7, and you get 17. The fraction will be 17/10.
Next, subtract the numerators because both of the denominators are equal. You then get 28/10 because 45 - 17 = 28.
28/10 is your mixed number fraction.
Hope this helped!
The speed of light is 3 x 10 8 meters per second (m/s). What is the speed of light in miles per year (mi/yr)
Answer:
the speed of light in miles per year is 5.88 × 10^12 mi / year
Step-by-step explanation:
The computation of the speed of light in miles per year is shown below;
As we know that
1 m/sec = 1 ÷ 1609 mi/sec
3 ×10^8 m/sec = (3 × 10^8) ÷ (1609)
= (3 × 10^8 × 60 × 60 × 24 × 365) ÷ (1609)
= 5.88 × 10^12 mi / year
Hence, the speed of light in miles per year is 5.88 × 10^12 mi / year
Factor 18x + 30 using the GCF
Answer:
6 (3x+5) GCF= 6
Step-by-step explanation:
What is (-3x^3 y^2)^-1
Answer:
-1/3^3y^2
Step-by-step explanation:
Janet's recipe calls for 3 cups of flour for every 2 cups of sugar. How much sugar does
Janet need, when she uses 9 cups of flour?
a) 6 cups b) 2⁄3 cup c) 8 cups d) 5 cups
Answer:
a) 6 cups
Step-by-step explanation:
Use a ratio equation to solve:
3/2 = 9/x
Cross multiply to get:
3x = 18
Solve for x:
x = 6
Answer: a) 6 cups
Step-by-step explanation: The 3 cups to get to 9, is really double the amount, so if you double 3 then you double 2 and get 6. 3*2=6
please help asap!!!!!!!
Answer:
v=20
you set IH and FG equal to each other and solve
The student council is making corsages to sell at prom. They spent $350 on materials such as
flowers, ribbons, elastic and pins. They are selling the corsages for $7.50 each. They need to
earn $700 to pay for prom decorations. Which inequality will determine the correct number of
corsages, c, that the class needs to sell to pay for the prom decorations?
Answer:
The inequality 7.50c - 350 ≥ 700 can be used.
Step-by-step explanation:
Given that:
Amount spent on materials = $350
Amount the council needs to earn = $700
Selling price per corsage = $7.50
Number of corsages sold = c
Selling price per corsage * Number of corsages sold - amount spent on materials ≥ amount needs to be earned
[tex]7.50c - 350 \geq 700[/tex]
Hence,
The inequality 7.50c - 350 ≥ 700 can be used.
Which mapping is a function?
Answer:
C
Step-by-step explanation:
if the radius is 2 inches, what is the diameter
Answer:
[tex]d=2r[/tex]
Step-by-step explanation:
[tex]d=2*2[/tex]
[tex]d=4[/tex]
Find the tangent ratio of angle A. Hint: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces. Reduce fraction when necessary.
Compute the simplified numerical value of the expression: (4042 + 4040 + 4038 + ... + 6 + 4 + 2) −
(4041 + 4039 + 4037 + ... + 5 + 3 + 1).
Answer:
43
Step-by-step explanation:
(3b) Write a multiplication equation that corresponds to this division equation.
4.5 divided 3 = ? *
Answer:
?⋅3=4.5 or 3⋅?=4.5
1 point
Two lines meet at a point that is also the vertex of an angle. Set up an equation to find the value of x.
You may want to use the MathQuill Toolbar (fx) to write your equation.
270
65°
po
Answer: x = 30°, and y = 46°
Step-by-step explanation: If we take a look at the attachment below, we will find x = 30°, and y = 46°;
In the expression 2x-5 identify the following parts
Answer:
x is a variable
-5 is a constant
2 is a coefficent
:)
What is the answer to: 4 2/3÷(-1 1/4)
A. 2.57
B. 7 20/21
C. 1/36
3x = 5.7 x=1 answer
Determine whether each equation represents a proportional relationship. Check all that have a proportional relationship.
A. y = 0.5x + 2
B. y = 1,000x
C. y = x + 1
D. y = 17x
Answer:
B and D represent a proportioonal relationship.
Step-by-step explanation:
In order for an equation to be proportional, it must be in the form of y = kx.
Hugo has $20. he spends n dollars.How much does he have left?
Answer:
what is the n?
Step-by-step explanation:
six increased by two times the difference of four
and two times a number.
In translated expression
16x
Step-by-step explanation:
6 increased by 2 --> 6+2
difference of 4 and 2 --> 4-2
first part times the second part --> 6 + 2 (4-2)
times a number --> • x
put it all together --> (6+2)(4-2) • x or 16x
Can someone help me plz
Answer:
1. Slope=1/4
2. Slope =6
Step-by-step explanation:
The approximate number of Calories, C, that an animal needs each day is given by C = 72m^3/4, where m is the animal's mass in kilograms. Find the number of
Calories that a 16 kilogram dog needs each day.
Show all work for this problem on a separate sheet of paper to turn in.
C=
Calories
someone plss helpp!?!!
Answer:
[tex]\huge\boxed{576 \ \text{calories}}[/tex]
Step-by-step explanation:
In order to find the number of calories that an [tex]m[/tex] kg animal weighs, we can substitute what we need inside the formula given, [tex]72m^{\frac{3}{4}}[/tex]. Since we want to find how much a 16 kg dog needs to eat, we substitute 16 in as m.
[tex]72\cdot 16^{\frac{3}{4}}[/tex]
BPEMDAS tells us that the order of solving equations is
Brackets
Parantheses
Exponents
Multiplication/Division
Addition/Subtraction
Looking at this order, we need to do [tex]16^{\frac{3}{4}}[/tex], then multiply by 72.
When we have a number to a fraction power, we need to note that
It's the same as taking the denominator root of the base to the numerator powerTherefore, our expression will be [tex]\sqrt[4]{16^3}[/tex].
[tex]16^3 = 4096[/tex] [tex]\sqrt[4]{4096} = 8[/tex]Now that we have this much, we need to multiply it by 72 as our formula read [tex]72m^{\frac{3}{4}}[/tex].
[tex]72 \cdot 8=576[/tex]Therefore, an animal weighing 16 kg needs to consume 576 calories.
Hope this helped!
Suppose X and Y are non-empty sets. Which set contains more elements: X U Y or X ∩ Y? Explain.
Answer:
The union of two sets is guaranteed to result in an equal or larger set than if they were intersected.
This only makes sense because intersecting sets is exceptional, only values that already exist in both sets are in the result. Whereas a union of two sets gives you all of the content of both.
The only time when an intersection is even equal to a union is when the two sets are identical. If they aren't then the intersection will be smaller.
What is one way to evaluate the validity of a website for use in a research paper?
A
Consider its purpose
B
Count the number of images
С
Look at the title
D
Look at polling features