Answer:
≥ 34.29 mph
Step-by-step explanation:
Given that:
Distribution is normal :
Mean(m) = 31 mph
Standard deviation = 2 mph
Speed of top 5%
Top 5% = bottom (100% - 5%) = 95% = 0.95
Zscore which corresponds to 0.95 = 1.645
Using the Z formula:
Zscore = (score - mean) / standard deviation
1.645 = ( score - 31) / 2
Croas multiply:
2 * 1.645 = score - 31
3.29 = score - 31
3.29 + 31 = score
34.29 = score
Hence, speed must be greater than or equal to 34.29 mph
What is a factor of 12
Answer:
2 x 3 (prime number, 2 distinct)
Step-by-step explanation:
Three teachers equally shared StartFraction 4 Over 5 EndFraction of a flat of paper that was donated to the school. What fraction of the flat of paper did each teacher receive?
Answer:
[tex]Each = \frac{4}{15}[/tex]
Step-by-step explanation:
Given
[tex]Fraction = \frac{4}{5}[/tex]
[tex]Teachers = 3[/tex]
Required
Determine fraction of each teacher
Each fraction is calculated by dividing total fraction by number of teachers as follows:
[tex]Each = \frac{Fraction}{Teachers}[/tex]
[tex]Each = \frac{4}{5}/3[/tex]
[tex]Each = \frac{4}{5} * \frac{1}{3}[/tex]
[tex]Each = \frac{4}{15}[/tex]
(4/5) / 3 =
4/5 * 1/3 =
4/15 <== each teacher received 4/15 of a flat
What’s the correct one?
Answer: B is the correct answer
Step-by-step explanation: when your symbol is less than it will go to the left and when it is is greater than it will go to the right, and since the symbol is greater than or equal to the circle thingy will be filled in. So, B is the correct answer.
Please help me ! Find y
need help with math questions
Well l am going to tell you what l think.
Step-by-step explanation:
Nos 1 is an equilateral triangle because it has 3 angles and 3 sides and it's equal to 180°,one angle is 60°.
Nos 2 is an isosceles triangle because it has 2 angles and 2 sides.
4.19. A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stockholders. In addition, the study determined that 75% of all American adult stockholders have some college education. Suppose 37% of all American adults have some college education. An American adult is randomly selected. a. What is the probability that the adult owns stock and has some college education
Answer:
P (S∩E) = 0.1591
Step-by-step explanation:
Let the stockholders be donated by S then the P (s)= 0.43
Let the stockholders having some degree be donated by D then the P (d)= 0.75
Let the American having some college degree be donated by E then the
P (E)= 0.37
As the events are independent their joint probability can be found by multiplying the individual probabilities
P (S∩E) = P(s) . P (E)= 0.43 * 0.37= 0.1591
Yosef is trying to determine whether or not he drinks enough water each day today on average he drank 2/5 of a glass of water every hour for 10 hours, to determine how much water he had he set up the equation 2/5 x 10 =? What is the total amount of water yosef drak
Answer:
4 glasses
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
If the polygon is rotated 90' clockwise about the origin, the measure of angle W' is
Answer:
If you are referring to the angle of the polygon, than it is the same, if you are referring to the angle between the initial and final point about the origin, than it's a right angle. If there is a point(x,y) rotated about the origin(0,0), then the new point will be (y,-x).
Which of the following is equal to the opposite of −45?
−|45|
−|−45|
−(−45)
−45
Which of the following statements does not represent the same value as the others?
the absolute value of 9
the absolute value of negative 9
the opposite of 9
the distance between 0 and −9
All of the following are true statements except _____.
|−93| = −93
|−93| = 93
−|93| = −93
|93| = 93
If you move from zero to 15 on the number line, you are representing all of the following except _____.
the absolute value of 15
the distance between zero and 15
the opposite of −15
the opposite of 15
All of the following expressions are equal to N except _____.
−(− N )
− N
| N |
|− N |
Answer:
The first one
Step-by-step explanation:
A prince picked a basketful of golden apples in the enchanted orchard. On his way home, he was stopped by a troll who guarded the orchard. The troll demanded payment of one-half of the apples, plus two more. The prince gave him the apples and set off again. A little further on, a second troll guard stopped the prince and demanded payment of one-half of the apples the prince now had, plus two more. The prince paid the troll and set off again. Just before leaving the enchanted orchard, a third troll stopped the prince and demanded one-half of his remaining apples plus two more. The prince paid him and returned home. He had only two golden apples left. How many apples did the prince pick?
How does the problem change if there happened to be 4 trolls Instead Of 3? If the Prince still ends up with two apples, how many did he start with?
Answer:
How many apples did the prince pick?
the prince ended up with 2 apples:
the number of apples he had before meeting the third troll = (2 x 2) + 2 = 6 applesthe number of apples he had before meeting the second troll = (6 x 2) + 2 = 14 applesthe number of apples he had before meeting the first troll = (14 x 2) + 2 = 30 applesthe prince picked 30 golden apples
How does the problem change if there happened to be 4 trolls Instead of 3? If the Prince still ends up with two apples, how many did he start with?
you must add one more troll into the sequence:
the number of apples he had before meeting the fourth troll = (2 x 2) + 2 = 6 applesthe number of apples he had before meeting the third troll = (6 x 2) + 2 = 14 applesthe number of apples he had before meeting the second troll = (14 x 2) + 2 = 30 applesthe number of apples he had before meeting the first troll = (30 x 2) + 2 = 62 applesthe prince picked 62 golden apples
Statistical significance at the 0.01 level is __________ than significance at the 0.05 level .
a. less informative
b. more difficult to achieve
c. easier to achieve
d. less costly
Answer:
d. less costly
Step-by-step explanation:
Statistical significance level is the probability of rejecting the null hypothesis. Statistical significance at the 0.05 level is the standard level for rejecting the null hypothesis.
A significance of 0.01 shows that there is strong evidence to conclude that the null hypothesis is not true. A 0.05 significance is the most used level while 0.01 is used when multiple tests are conducted or when the researcher is not so sure if the null hypothesis should be rejected. It increases the amount of evidence required to prove the null hypothesis and it also reduces the possibility of obtaining a false positive.
A tortoise challenged a hare to a 100-meter race on a track. The tortoise negotiated a 60-meter head start with the hare. When they passed their respective starting points the hare was running at a constant speed of 3.6 meters per second and the tortoise was crawling at a speed of 0.7 meters per second. (They both maintained these speeds for the entire race.) Our goal is to determine who won the race. Take out a piece of paper and read the above problem statement again. In a couple of sentences, describe how you might determine who won the race. Construct a drawing to represent the 100-meter length of the track. Then place the tortoise and hare's starting points on the track. Define the variable t to represent the number of seconds since the start of the race.
Answer:
Hare wins the race
Step-by-step explanation:
Length of track = 100 m
Let t represent the number of seconds in completing the race.
Speed of tortoise = 0.7 m/s
Distance covered by tortoise in t seconds = Speed \times time = 0.7t
We are given that The tortoise negotiated a 60-meter head start with the hare.
So, Distance covered by tortoise in t seconds = 60+0.7t
Speed of hare = 3.6 m/s
Distance covered by hare in t seconds = 3.6 t
Now
3.6t = 100
[tex]t=\frac{100}{3.6}[/tex]
t=27.77
60+0.7t=100
[tex]t=\frac{100-60}{0.7}[/tex]
t=57.14
So, Hare took less time
So, Hare wins the race
On the graph paper, plot a point A (-2,-2).Reflect the point A in x-axis and y-axis. Let these points be B and C. Find the measure of angle BAC
9514 1404 393
Answer:
90°
Step-by-step explanation:
The lines of reflection make right angles with each other, so the angle made with the reflected points will be a right angle.
m∠BAC = 90°
6. Copy and complete this table to show
equivalent values.
Answer:
Step-by-step explanation:
1. Decimal: 0.25 Fraction: 1/4
2. Percent 50% Decimal: .5
3. 15% Fraction: 15/100
Can someone show me how to do this?
10t - 4<2t
Answer:
t < [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
10t - 4 < 2t
8t - 4 < 0
8t < 4
t < [tex]\frac{1}{2}[/tex]
Evelyn bought 8.4 gallons of gas for $23.94. what equation can be used to determine the price of each gallon of gas?
Answer:the equation would be
8.4x=23.94
Step-by-step explanation: I know my math :)
A DVD rental store wants to know what proportion of its customers are under age 21. A simple random sample of 400 customers was taken, and 280 of them were under age 21. Presume that the true population proportion of customers under age 21 is 0.68. What is the probability that the sample proportion \hat{p} is within 0.03 of the true proportion of customers who are under age 21 that is , what is the probability that \hat{p} is between 0.68 - 0.03 and 0.68 0.03
Answer:
The sample proportion [tex]\hat{p}[/tex] is within 0.03 of the true proportion of customers who are under age 21 is 0.803
Step-by-step explanation:
Total no. of customers = n = 400
We are given that the true population proportion of customers under age 21 is 0.68.
So, p =0.68
q=1-p=1-0.68=0.32
Standard deviation =[tex]\sqrt{\frac{pq}{n}}=\sqrt{\frac{0.68 \times 0.32}{400}}= 0.023[/tex]
We are supposed to find the probability that the sample proportion [tex]\hat{p}[/tex] is within 0.03 of the true proportion of customers who are under age 21 that is , what is the probability that [tex]\hat{p}[/tex]is between 0.68 - 0.03 and 0.68+ 0.03
[tex]P(0.65 < X < 0.71) = P((\frac{0.65-0.68}{0.0233}) < Z < (\frac{0.71-0.68}{0.0233}))[/tex]
Using Z table
[tex]= P(-1.2875 < Z < 1.2875)= 0.803[/tex]
Hence the sample proportion [tex]\hat{p}[/tex] is within 0.03 of the true proportion of customers who are under age 21 is 0.803
Seventeen less than a number
is negative two. What is that
number?
Answer:15
Step-by-step explanation:
15-17=-2
Answer:
15
Step-by-step explanation:
15
The graph below shows a transformation of y
- 2x
Write the equation for the graph in the comment
Answer:
[tex]y=-2^{(x+2)}+1[/tex]
Step-by-step explanation:
Equation of the parent function of the graph attached is,
y = [tex]2^{x}[/tex]
Let the equation of the transformed function function shown in the graph be,
y = a(2ˣ) + b
Now we will find the values of a and b by substituting the points lying on the curve.
For (-2, 0),
0 = a(2⁻²) + b
[tex]\frac{a}{4}+b=0[/tex] ------(1)
For (0, -3),
-3 = a(2⁰) + b
a + b = -3 --------(2)
Subtract equation (1) from equation (2),
(a + b) - ([tex]\frac{a}{4}+b[/tex]) = 0 + 3
[tex]\frac{3a}{4}=3[/tex]
a = -4
From equation (2),
-4 + b = -3
b = 1
Therefore, equation of the transformed function will be,
[tex]y=-4(2^x)+1[/tex]
[tex]y=-2^{2}(2^x)+1[/tex]
[tex]y=-2^{(x+2)}+1[/tex]
Graph transformation is the process by which an existing graph is modified to produce a variation of the proceeding graph.
Equation of transformed graph is, [tex]y=-2^{x+2}+1[/tex]
Here, equation of original graph is given, [tex]y=2^{x}[/tex]
Let us consider, equation of transformed graph is, [tex]y=m(2^{x} )+n[/tex]
Since, given graph passing through points (-2,0) and (0,-3)
Substituting above points into equation.
We get two equation,
m +4n = 0
m + n = -3
After solving, we get m= -4 and n = 1
So, equation becomes [tex]y=-2^{x+2}+1[/tex]
Learn more:
https://brainly.com/question/10510820
A cougar jumped a distance of 13 yards. How many inches did this cougar jump?
Answer:
468 in
Step-by-step explanation:
Step 1: Define conversions
3 feet = 1 yard
1 foot = 12 inches
Step 2: Use dimensional analysis
[tex]13 \hspace{3} yards(\frac{3 \hspace{3} feet}{1 \hspace{3} yard} )(\frac{12 \hspace{3} inches}{1 \hspace{3} feet} )[/tex] = 468 inches
उक्त समयमा बसले कति दुरी पार गर्दछ ? Abusstarts from
rest. If the acceleration of the bus is 0.5m/s, what will be it's
ve ocity at the end of 2 minutes and what distance will it cover
during that time?
Answer:
The magnitude of the velocity will be 60 m/s.
The distance covered is 3,600 m
Step-by-step explanation:
Constant Acceleration Motion
It's known as a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.
If a is the constant acceleration, vo is the initial speed, vf the final speed, and t the time, the following relation applies:
[tex]v_f=v_o+at[/tex]
The distance traveled by the object is calculated as:
[tex]\displaystyle x=v_o.t+\frac{a.t^2}{2}[/tex]
The bus starts from rest, i.e. vo=0, the acceleration is a=0.5 m/s^2. The magnitude of the velocity at t=2 minutes = 120 seconds is:
[tex]v_f=0+0.5\cdot 120=60 \ m/s[/tex]
The magnitude of the velocity will be 60 m/s.
The distance covered during that time is:
[tex]\displaystyle x=0+\frac{0.5\cdot 120^2}{2}[/tex]
[tex]\displaystyle x=\frac{7,200}{2}[/tex]
x = 3,600 m
The distance covered is 3,600 m
Your test scores in one class are 80 and 86. What possible scores can you earn on your next test to have a test average between 83 and 88, inclusive?
Answer:
83
Step-by-step explanation:
80+86=166
166÷2=83
El siguiente diagrama indica el número de comidas al día que hace un grupo de quince amigos:
Answer:
?
Step-by-step explanation:
Factor the GCF
12x^2-18x
Answer:
How to solve your question
Your question is
1
2
2
−
1
8
12x^{2}-18x
12x2−18x
Grouping
1
Factor out common coefficient factor
1
2
2
−
1
8
12x^{2}-18x
12x2−18x
6
(
2
2
−
3
)
6(2x^{2}-3x)
6(2x2−3x)
2
Rewrite in factored form
Solution
6
(
2
−
3
)
⋅
Step-by-step explanation:
Find the length of the missing leg in the following triangle
Answer:
9
Step-by-step explanation:
a² +b²=c²
a²+40²=41²
a²=41²-40²
a²= 81
[tex] \sqrt{ {a}^{2} } = \sqrt{81} [/tex]
a=9
H0: μ1 – μ2 = 0 vs. H1: μ1– μ2 ≠ 0
H0: μ1 – μ2 ≠ 0 vs. H1: μ1– μ2 = 0
multiple choice 1
a
b
(b) Specify the decision rule with respect to the p-value.
Reject the null hypothesis if the p-value is
less than
.10.
(c) Find the test statistic tcalc. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)
tcalc
(d) Assume unequal variances to find the p-value. (Use the quick rule to determine degrees of freedom. Round your answer to 4 decimal places.)
p-value
(e) Make a decision.
We
do not reject
the null hypothesis.
(f) State your conclusion.
We
cannot
conclude that there is a difference between the sizes of homes in the two neighborhoods.
Answer:
hi
Step-by-step explanation:
What is the distance between -3 and 2 on the number line?
-5-4-3
1
2
3
4
5
-5
-1
_ _
7
1
Answer: the answer is 190 to the power of 7
Step-by-step explanation:
so u just have to multiply by 35 and u will get the answer
Answer:
4
Step-by-step explanation:
(-3) -2 -1 0 1 (2)
that therefore counting from left to right will give us 4 because there are 4 numbers inbetween (-3) and (2).
The lines Graphed below are perpendicular. The slope of the red line is -1/3. What is the slope of the green line.
Answer:
C
Step-by-step explanation:
The slope is 3. A perpendicular line has the complete opposite of the other. So if it is -1/3 slope for one line, the perpendicular line would be 3/1 which simplifies to 3. Hope this helps!
Please help will mark brainliest ! Sampling methods
Answer:
i think it is b
Step-by-step explanation:
Answer:
a to e
Step-by-step explanation:
Which of the following points satisfies the inequality x ≥ -3? (Select all that apply.)
(0, -2)
(5, -5)
(-3, 4)
(-4, 2)
Answer:
(0,-2)
(5,-5)
(-3,4)
Answer:(0,-2)(5,-5)(-3,4)
Step-by-step explanation:
