We solve this question building the probabilities outcomes.
According to this, it is found that the probability is: 0.023, given by option C.
The probabilities are:
40% = 0.4 probability of the air being humid.If humid, 5% = 0.05 probability of a tornado.100 - 40 = 60% = 0.6 probability of the air being dry.If dry, 0.5% = 0.005 probability of a tornado.What is the probability that there was a tornado in Tulsa on July 1, 2019?
Two possible outcomes:
0.05 of 0.4(humid)0.005 of 0.6(dry)Thus:
[tex]p = 0.05\times0.4 + 0.005\times0.6 = 0.023[/tex]
0.023 probability, and the correct answer is given by option C.
A similar problem is given at: https://brainly.com/question/16967884
If 40 men working on a U.S. government project can complete the job in 100 hours, how many men would be required to complete the job in 80 hours?
Answer:50
Step-by-step explanation:(40x100):80
Answer: 50 workers
Let the ratio be
(40×100):80
= 400/80
= 50
Therefore 50 workers will complete the same work in 80 hours.
Must click thanks and mark brainliest
look at the image below for the question !!!!!!
Answer:
136 cm2
Step-by-step explanation:
6*2=12 12*2=24
6*7=42 42*2=84
7*2=14 14*2=28
Add.
24+84+28=136
I hope this helps!
When f(x) = -3, what is x?
-29
-10
-3
-1
Answer:
The correct choice is option D. -1
Step-by-step explanation:
Find f(x) = - 3 on the table. When y = -3, what is the x value? Look on the right side, you can see it's -1, correct? So, f(x) = - 3 when x = - 1.
A life insurance company wants to estimate its annual payouts. Assume that the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 4 years. By what age have 80% of the plan participants passed away?
Answer:
By 71 years of age 80% of the plan participants have passed away.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 68 years and a standard deviation of 4 years.
This means that [tex]\mu = 68, \sigma = 4[/tex]
By what age have 80% of the plan participants passed away?
By the 80th percentile of ages, which is X when Z has a p-value of 0.8, so X when Z = 0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - 68}{4}[/tex]
[tex]X - 68 = 4*0.84[/tex]
[tex]X = 71[/tex]
By 71 years of age 80% of the plan participants have passed away.
Find x. Round your answer to the nearest tenth of a degree.
Answer:
x = 55.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hypotenuse
cos x = 9/16
Taking the inverse cos of each side
cos^-1 (cos x) = cos^-1 (9/16)
x=55.77113
To the nearest tenth
x = 55.8
Answer:
Relative to x, the side of 16 is the hypotenuse, and the side of 9 is adjacent.
So we think, what trigonometric property relates hypotenuse and adjacent sides of a right triangle?
SOH CAH TOA
We can use the COSINE function to solve in this case, as we have both the ADJACENT SIDE (A) and the HYPOTENUSE (H).
Cosine = Adjacent/Hypotenuse
Cosine (x) = 9/16
Angle x = 55.8 degrees.
Let me know if this helps!
Write the expression in exponential form.
log . N = x
Answer:
N = x2
Step-by-step explanation:
Follpwing the format
What is the Width of 6.36-9.24
Answer:
-2.88
Step-by-step explanation:
6.36-9.24= -2.88
find the slope of a line perpendicular to each given line number 11
Answer:
Slope = 5
Step-by-step explanation:
To find the slope of a line perpendicular to a given line, take the opposite reciprocal of the given line's slope.
Ex. -1/5 ⇒ 5
Opposite = opposite sign (- ⇒ +)
Reciprocal = numerator and denominator flipped (1/5 ⇒ 5/1 = 5)
Consider the given statement: Not all rooms at the hotel have a bed.
For each statement below, decide whether it is a negation of the given statement.
A.) No room at the hotel has a bed YES/NO
B.) Some rooms at the hotel have a bed YES/NO
C.) Some rooms at the hotel do not have a bed YES/NO
D.) All rooms at the hotel have a bed YES/NO
Answer:
The negation is the OPPOSITE of whatever is said, so in this case, the opposite of "Not all rooms at the hotel have a bed." would be D "All rooms at the hotel have a bed" and A "No room at the hotel has a bed"
The correct answers are A and D
Let me know if this helps!
Answer:
a. no because it states that no rooms have a bed when it states not all rooms at the hotel have a bed
b. yes because while its true some rooms dont have a bed other rooms will
c. yes again some rooms do have a bed and some dont
d. no because we have already established that only some rooms have beds not all
hope this helps
Step-by-step explanation:
I’m so confused on this I need help thanks so much!
Answer:
2.5 or 5/2
Step-by-step explanation:
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other - in other words, separated by the crossing point of the lines and not by the lines themselves.
but that also means they are equal.
8x + 15 = 4x +25
4x = 10
x = 10/4 = 5/2 or 2.5
Give the domain and range.
x –2 0 2 y –1 0 1
a. domain: {2, 0, 2}, range: {1, 0, 1} b. domain: {–2, 0, 2}, range: {–1, 0, 1} c. domain: {–1, 0, 1}, range: {–2, 0, 2} d. domain: {1, 0, 1}, range: {2, 0, 2}
Answer:
B. domain {-2, 0, 2}, range {-1, 0, 1}
Step-by-step explanation:
The x values and y values as ordered pairs would be: (-2,-1), (0,0), (2,1)
The domain is the all of the values of x and the range is all the values of y.
Emily and Kate were at a cheerleading competition this fall.They cheered 12 rounds. Each round lasted 8.24 minutes. Calculate the total number of minutes, Emily cheered and the total number of minutes Kate cheered at the competition
Answer:
98.88
Step-by-step explanation:
Given: They cheered 12 rounds. Each round = 8.24
To find the total number, multiply how much one round is with the total number of rounds.
8.24
× 12
-----------
1648
+ 8240
----------
98.88
Each girl cheered 98.88 minutes. If you need this estimated, the answer would be 99 minutes.
The first season of the show breaking bad contain seven episodes but the second season of 13 episodes calculate the absolute and relevant change in the number of episodes from season one to season two of breaking bad
Answer:
Absolute = 13-7 = 6
if you mean relative change then it would be the multiplier of 13 / 7 = 1.85714286
as; 7 x 1.85714286 = 13
Step-by-step explanation:
The absolute change is 6 and relative change is 1.85
What is absolute and relative errors?The size of the discrepancy between the exact value and the approximation is known as the absolute error. The absolute error is multiplied by the exact value's magnitude to get the relative error.
Given
Absolute = 13-7 = 6
if you mean relative change then it would be the multiplier of 13 / 7 = 1.85714286
as; 7 x 1.85714286 = 13
To learn more about the absolute and relative errors refer to:
https://brainly.com/question/26167540
#SPJ2
find the probability of rolling a sum of a three first and then a sum of nine when a pair of dice is rolled twice
Answer:
Step-by-step explanation:
favorable events for a sum of 3 are 12,21
P(sum 3)=2/36=1/18
favorable events for a sum of 9 are 36,63,45,54
P(sum of 9)=9/36=1/4
What is the image point of (4, -6) after a translation right 5 units and up 4 units?
Answer:
(9,-2)
Step-by-step explanation:
5 is the x coordinate, and 4 is the y coordinate. When you go right a certain amount of units, you add those units to your x coordinate. If you were to go left a certain amount of units, you'd subtract them. Since we're going right, 5 + 4 = 9. When you go up a certain amount of units, you add those units to you y coordinate. If you were to go down a certain amount of units, you'd subtract them. Since we're going up, -6 + 4 = -2. So, x = 9 and y = -2, or (9,-2)
Write the relation between hypotenus perpendicular and base
Answer:
the area of the square on the hypotenuse is equal to the sum of the areas of squares of perpendicular and base".
0.6 reoccurring decimal as a fraction in the simplest term
Answer:
3/5
Step-by-step explanation:
here,
0.6
in fraction = 6/10
in simplest form 6/ 10 both term can be divided by 2 so,
6/10 ÷2
= 3/5
a which matrix post multiplies to (1 3 3 4) to get (19 -3 75 13)
Answer:
[19 -1 25 3.25]
Step-by-step explanation:
just take the elements from the resultant matrix and divide it by the corresponding elements in the given matrix to find the matrix that's being asked.
If triangle ABC has one angle measuring 90o and one angle measuring 45o, which of the following is true?
ABC is a right angle
Third angle 45°
Its a isoceles Right Triangle because base angles are equal then two sides are also equal.
Must click thanks and mark brainliest
Simplify (-2)-3⋅ (-2)4⋅
Answer: 22
Step-by-step explanation:
−2−(3)(−2)(4)
=22
Divide into two triangles in a straight line
Step-by-step explanation:
I am not sure but is this question like this
if it's not i am sorry
Help im stuck! xoxo thanks! <3
Answer:
3. 60° is the correct answer.
4. 8
Step-by-step explanation:
3. sum of all the sides of a quadrilateral is 360°
hence,
2h+2h+h+h=360°
6h=360°
h=360°/6
h=60°
4. Sum of interior angle of a polygon with n sides is 1080. N=8 (octagon)
Hope this helps you. Have a nice day.^_^
Answer:
3)60°
4)8 sides
Step-by-step explanation:
3) 2h+2h+h+h=360°
6h=360°
6h/6=360°/6
h=60°
4)(n-2)180=1080°
n-2=1080°/180
n-2=6
n=8
What is the answer to 11.24 divided by 9
Answer:
1.24
Step-by-step explanation:
oahsofhasdf0as0dfadera
the line in the same plane which do not interest Each Other are called ________ lines
parallel lines or skew lines
Parallel lines are in Same plane or Coplanar but donot intersect each other.Skew lines lie in same plane but don't intersect each other.
Find x
Pleasee! Help! Soon!
Answer: [tex]x = \frac{7\sqrt{6}}{2}\\\\[/tex]
==============================================================
Explanation:
Focus on the upper triangle. This is a 30-60-90 triangle. The short leg is 7 and the long leg is [tex]7\sqrt{3}[/tex]. The long leg is always sqrt(3) times that of the short leg (and this only works for 30-60-90 triangles).
In short, the horizontal length is [tex]7\sqrt{3}[/tex] units long.
Now move to the lower triangle. This is a 45-45-90 triangle with congruent legs (each are x units long). We just found the hypotenuse is [tex]7\sqrt{3}[/tex]
We can use the pythagorean theorem to say the following:
[tex]a^2 + b^2 = c^2\\\\x^2 + x^2 = (7*\sqrt{3})^2\\\\2x^2 = 147\\\\x^2 = \frac{147}{2}\\\\x = \sqrt{\frac{147}{2}}\\\\x = \frac{\sqrt{147}}{\sqrt{2}}\\\\x = \frac{\sqrt{147}*\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\x = \frac{\sqrt{147}*\sqrt{2}}{2}\\\\x = \frac{\sqrt{147*2}}{2}\\\\x = \frac{\sqrt{294}}{2}\\\\x = \frac{\sqrt{49*6}}{2}\\\\x = \frac{\sqrt{49}*\sqrt{6}}{2}\\\\x = \frac{7\sqrt{6}}{2}\\\\[/tex]
Please help on my hw
Answer:
x^2 - 7x - 30 = 0
Step-by-step explanation:
since solutions are 10 and -3
a factorised quad eqn can be formed:
(x-10)(x+3)=0
expand the eqn
x^2-7x-30 = 0 is the answer
Solve for x . 7 - (2 x + 11) + 3(3 - x ) = 20
A.7/5
B.-3
C.-4
Answer:
the answer to the question is a:-3
Find the first six terms of the sequence.
a1=- 6, an= 4 • an-1
Answer:
I think it's 3
Step-by-step explanation:
because an=4 and the question is
an-1
=4-1
=3
A teapot,which has a capacity of one and half litters, can fill six identical mugs with tea.what is the capacity of the six mugs altogether?
Answer:250
Step-by-step explanation:
Four friends go to the movies. How many different ways can they sit in a row?
Answer:
120 ways
..................
Answer:
24
Step-by-step explanation:
4 friends
1st seat: 4 different people could sit here
Now there are 3 friends left
2nd seat: 3 different people could sit here
Now there are 2 friends left
3rd seat: 2 different people could sit here
Now there are 1 friends left
4th seat: 1 different people could sit here
4*3*2*1
24 ways
