Answer:
d can represent 15 and 28, but not 56 or 0.
Step-by-step explanation:
It can be October 15th or 28th, but not October 56th or October 0th
PLEASE NEED HELP
The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years. What proportion of crocodiles live between 17.5 and 20.5 years?
Find the z-table here.
0.3147
0.4068
0.5932
0.6853
Using the normal distribution, it is found that 0.4068 of crocodiles live between 17.5 and 20.5 years.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given as follows:
\(\mu = 18, \sigma = 2.6\)
The proportion of crocodiles live between 17.5 and 20.5 years is the p-value of Z when X = 20.5 subtracted by the p-value of Z when X = 17.5, hence:
X = 20.5:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{20.5 - 18}{2.6}\)
Z = 0.96
Z = 0.96 has a p-value of 0.8315.
X = 17.5:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{17.5 - 18}{2.6}\)
Z = -0.19
Z = -0.19 has a p-value of 0.4247.
0.8315 - 0.4247 = 0.4068
0.4068 of crocodiles live between 17.5 and 20.5 years.
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can you help me simplufy 4sqrt(10) x 2sqrt(20)
Miguel rode his bike to work which was 15 miles from home. However he was too tired to ride back so he got a ride in a
car from a co-worker. He spent a total of 2 hours traveling. The average speed of traveling by car was 3 times faster
than on his bike. What was Miguel's average speed on his bike and in the car?
Answer:
Bike: 10 miles per hour
Car: 30 miles per hour
Step-by-step explanation:
He spent: 2h/(1+3) = 0,5h by car and 0,5h x 3 = 1,5h by bike
The car is: 15 miles/ 0,5h = 30 miles/h
The bike is: 15 miles/ 1,5h = 10 miles/h
The vertices of triangle ABC are given: A (0;-1) B(12; -10) C(10;4)
Find:
a) the equation of the median and bisector drawn from vertex A;
b) the equation of the altitude from vertex B;
c) the point of intersection of the median and height;
d) the coordinates of the center of mass (the point of intersection of the medians).
Nine less than the product of a number n and 1/6 is no more than 92
Answer:
Please help im on that 2dd
Step-by-step explanation:
dddd
Which expression is equivalent to (x^1/2 y ^-1/4 z)^-2
Answer:
x^-1 y^½ z^-2
A quilt is made of 12 squares of equal size. Each square measures 15 cm by 15 cm.
What is the area of the quilt?
Answer: 12 x 15= 180 cuadrados
juas juas juas 180 + 180 = 360
15 x 15 cm = 360
Step-by-step explanation:
Answer:
Its \(2,700cm^{2}\)
Ste,p-by-step explanation:
PLS HELP plsssssssssssssssssssssss
Please help, I’m not sure about this question.
Find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4.
Answer:
perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4
Given the figure above, if m ABC = 68° and m_BCA = 90°, answer the following:
Part I: Find the m DCE.
Part II: Explain the steps you took to arrive at your answer. Make sure to identify any
theorems, postulates, or definitions used to justify your answer.
I HOPE IT WILL HELP YOU.
Thank you.
^ - ^
Write the trigonometric ratio as a simplified fraction.
10. sin B
C9
A
C
6
15 C
B
11. cos A
12. tan A
10.
11.
12.
The value of the trigonometric ratios are;
sin A = 2/5
cos A = 3/5
tan A = 2/3
How to determine the ratiosIt is important to note that there are six different trigonometric identities and their ratios.
We have;
sine cosinetangentcotangentsecantcosecantFrom the diagram shown, we have;
sin θ = opposite/hypotenuse
cos θ = adjacant/hypotenuse
tan θ = opposite/adjacent
Then,
sin A = 6/15 = 2/5
cos A = 9/15 = 3/5
tan A = 6/9 = 2/3
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The value of the trigonometric ratios are;
sin A = 2/5
cos A = 3/5
tan A = 2/3
How to determine the ratiosIt is important to note that there are six different trigonometric identities and their ratios.
We have;
sine cosinetangentcotangentsecantcosecantFrom the diagram shown, we have;
sin θ = opposite/hypotenuse
cos θ = adjacant/hypotenuse
tan θ = opposite/adjacent
Then,
sin A = 6/15 = 2/5
cos A = 9/15 = 3/5
tan A = 6/9 = 2/3
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Let's suppose we conduct a hypothesis test about the mean value of something, and determine that we should reject the null hypothesis. What does that mean?
a. Our hypothesized mean has been proven incorrect
b. The difference between our sample mean and our hypothesized mean was most likely due to random chance.
c. The difference between our sample mean and our hypothesized mean was statistically significant.
d. The difference between our sample mean and our hypothesized mean was not statistically significant.
Answer: Choice C.
The difference between our sample mean and our hypothesized mean was statistically significant.
=========================================================
Explanation:
The null hypothesis is always set up in a way to state the following: "The mean mu is equal to some value"
The mu is a greek letter often used as the population mean symbol. The actual symbol itself looks like this \(\mu\)
When we reject the null, we reject the idea that the mu is whatever stated value we said in the null. So we must go with the alternative hypothesis.
The sample mean we computed (xbar) is different enough from the mu value that we're able to make such a rejection. We consider this statistically significant, which is another way of saying that such a difference is not simply due to random chance.
what is the opposite 3.78
Answer:
-3.78
Step-by-step explanation:
The opposite of a positive number will always be negative, and the opposite of a negative number will always be positive.
Describe fully the single transformation that maps triangle A on triangle B
Answer:
It first starts with a dilation with a scale factor of 1/2. Than once the dilation is completed, a translation of 3 units to the right and 1.5 units down.
Step-by-step explanation:
In certain deep parts of oceans, the pressure of sea water,P, in pounds per square foot, at a depth of d feet below the surface, is given by the following equation P=14+ 4d/9
If a scientific team uses special equipment to measure the pressure under water and find it to be 306 pounds per square foot, at what depth is the team making their measurements?
It is important to note that this equation assumes a constant density of seawater, which is not always the case in the deep ocean. In addition, the pressure at a given depth can vary depending on factors such as temperature and salinity. This equation should be used with caution and in conjunction with other measurements and data analysis techniques.
The given equation for pressure in pounds per square foot at a depth of d feet is P = 14 + 4d/9. We are given that the pressure measured by the scientific team is 306 pounds per square foot. To find the depth at which this pressure is measured, we need to solve the equation for d.
Substituting P = 306 in the equation, we get:
306 = 14 + 4d/9
Multiplying both sides by 9, we get:
2754 = 126 + 4d
Subtracting 126 from both sides, we get:
2628 = 4d
Dividing both sides by 4, we get:
d = 657 feet
The scientific team is measuring the pressure at a depth of 657 feet below the surface of the ocean.
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Find the coordinates of the midpoint of the line segment that joins the two given points. (−1, −1) and (−2,−10)
The coordinate of the midpoint of the line segment is (-1.5, -5.5)
How to determine the coordinates of the midpoint of a lineThe coordinate of the midpoint of a line is the half x values and y values. Thus:
Xm = (X1 + X2)/2 and Ym = (Y1 + Y2)/2
where m is the midpoint
Given: (−1, −1) and (−2,−10)
X1 = -1, Y1 = -1 and X2 = -2, Y2 = -10
Xm = (-1 +(-2))/2 = -1-2/2 = -3/2 = -1.5
Ym = (-10 + (-1)) = -10-1/2 = -11/2 = - 5.5
Therefore, the coordinates of the midpoint are x = -1.5 and y = -5.5 or (-1.5, -5.5)
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Solve the following problems and write the steps
1. 4a = 64
2. 5r = 105
3. Z/15 = 10
4. x/12 = 13
Answer:1. 16
2. 21
3. 150
4. 156
Step-by-step explanation: for the first 2 you divide the number without the variable and the number with the variable. With the last 2 you multiply the number with and without the variable together.
In a class of 40 students on average 4 will be left handed if a class includes 6 lefties estimate how many students are in the class
Find the stem and leaf giving brainlest
Answer:
Problem 20: 3 numbers in the data have 3 in the ones place
Problem 21: 3 numbers in the data have 5 in the ones place
Which value of x makes this equation true?
–5(x – 20) = 35
-
O A. 27
OB
-11
-
ОС.
13
OD. -3
Answer:
x = 13
Step-by-step explanation:
Given:
–5(x – 20) = 35
Solve:
–5(x – 20) = 35
Distribute the equation:
{-5 × x = -5x}
{-5 × -20 = 100}
-5x + 100 = 35
Subtract both sides by 100
-5x + 100 = 35
-5x + 100 - 100 = 35 -100
Simplify
-5x = -65
Divide both sides by -5
-5x/5 = -65/5
Solution:
x = 13
Kavinsky
Answer:
13
Step-by-step explanation:
because 13-20=-7
and -7x-5=35
so the answer is c
What is the solution of the system of equations?
y=x+2
y = 3x
a. Infinitely Many Solutions
b. One Solution
c. No Solutions
d. None of the solutions
The system of equations has a solution y=x+2 y=3x. The slopes then are m = 1 and m = 2, respectively. There is only one way to solve it.
How do you find the solution of a system?Interception locations on the x+2 axis are as follows: X Intercepts (-2,0), Y Intercepts (-0,0). (0,2) . x+2 : A line equation with the form y=m x+b has a slope of m m=1. Points of three-axis interception Intercepts for X and Y are (0,0). (0,0) . 3 x :A line equation with the form y=m x+b has a slope of m m=3.
A set of values for the variables x, y, z, etc. that simultaneously satisfy every equation in a system of equations is known as the solution. The collection of all solutions is known as the solution set for a system of equations. Finding every answer using formulas containing a certain number of parameters is the definition of system solving. The solution(s) to the problem is/are the point(s) where all the lines intersect.
Therefore the correct answer is option b) One Solution .
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6. During the winter months, there is a decrease of between 10 and 30 percent in business at a certain restaurant. Which of the following could not be the percent that winter business is of the normal business?
D (94)
Hoped I help :]
Solve for x round to the nearest hundredth
27=(1/3)^x
The value of x is x = -3.
What is solving an equation?
Finding an equation's solutions, or the values that satisfy the condition given by the equation, is known as solving an equation in mathematics. Solutions often consist of two expressions connected by an equals sign. One or more variables are marked as unknowns in order to find a solution.
Consider the given equation,
27 = (1/3)^x
This equation can be written as,
\(27 = \frac{1^x}{3^x}\)
Here 1^x
1\(27 = \frac{1}{3^x}\)
Take 3^x on numerator.
\(27 = 3^-^x\)
Now 27 can be written as, \(27 = (3)(3)(3) = 3^3\)
⇒ \(3^3 = 3^-^x\)
Applying the exponent rule: \(a^b=a^c\) ⇒ b = c
So we get,
3 = -x
Multiply both sides by -1.
-3 = x
x = -3
Hence the value of x is x = 3.
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If Jaime wants to find 60% of 320, which table should he use?
Answer:
in 3th table or 30percent
5. Mrs. Hoskins is going to plant her new
gorden. She purchases 4 tomato plants for
$2.59 each, a package of watermelon seeds
for $1.87, and adapeno plant for $3.88. How
much will Mrs. Hoskins spend on seeds and
plants for her new garden?
The solution is $ 16.11
The total amount of money spend by Mrs.Hopkins on seeds and plants is given by the equation A = $ 16.11
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the cost of each tomato plant be = $ 2.59
The number of tomato plant = 4
The cost of 4 tomato plant = 4 x 2.59
The cost of 4 tomato plant = $ 10.36
Now ,
The cost of watermelon seeds = $ 1.87
The cost of adapeno plant = $ 3.88
So , the equation will be
The total amount of money A = cost of 4 tomato plant + cost of watermelon seeds + cost of adapeno plant
Substituting the values in the equation , we get
The total amount of money A = 10.36 + 1.87 + 3.88
The total amount of money A = $ 16.11
Therefore , the value of A is $ 16.11
Hence , the total amount of money is $ 16.11
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At Silver Gym, membership is $35 per month, and personal training sessions are $30 each. At Fit Factor,
membership is $85 per month, and personal training sessions are $20 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Sarah would have to buy
equal.
personal training sessions to make the total cost at the two gyms
Answer:
5 sessions each
Step-by-step explanation:
Let the personal training sessions be x.
Then at Silver Gym Sarah would spend:
35 + 30xAnd at Fit Factor she would spend:
85 + 20xSince total costs are same, the amounts will be equal:
35+30x = 85 + 20x30x - 20x = 85 - 3510 x = 50x= 50/10x= 5So Sarah would buy 5 training sessions for each of the gyms.
And she would spend $185 at each.
if f(x) = x^4+7, g(x) = x-9, h(x) = sqrt x, then
f*g(x) =
g*f(x) =
h*g(x) =
Answer:
ejeqf
Step-by-step explanation:
kmd
A group of people were asked how many people live in their household. How many said they have 3 or more in their household?
Answer:
11
Step-by-step explanation:
we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7
Solve this for me please
Answer:
30.5
Step-by-step explanation:
here :
n represents the number of trials
p represents the probability of success
In a binomial distribution, The mean
is equal to the product of those two values.
In other words,
The mean = n × p
= 122 × 0.25
= 30.5