Answer:
P (34<X<39) = 0.5899
Step-by-step explanation:
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.
In this question, we have that:
[tex]\mu = 37, \sigma = 3[/tex]
What is the probability that a cat would return to it's dish between 34 and 39 times a day.
This is the pvalue of Z when X = 39 subtracted by the pvalue of Z when X = 34. So
X = 39
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{39 - 37}{3}[/tex]
[tex]Z = 0.67[/tex]
[tex]Z = 0.67[/tex] has a pvalue of 0.7486
X = 34
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{34 - 37}{3}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.7486 - 0.1587 = 0.5899
So
P (34<X<39) = 0.5899
PLEASE HELP ASAP WHICH ARE PROPORTIONAL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Marian earns $7.50 per hour at her part-time job. Is the number of hours Marian works proportional to the amount she earns?
The area of a square can be found by squaring the length of one of its sides. For example, if a square has a side length of 5 centimeters, the square's area is 5, 2, square centimeters, or 25 cm, 2, . Is the side length of a square proportional to its area?
Rafael opens a savings account with an initial deposit of $50. Each week after that, he deposits $10 more. Is the number of weeks that have passed proportional to the amount in his account?
Noah is mixing yellow and red paint. For every 5 ounces of yellow paint he adds 4 ounces of red paint. Is the number of ounces of yellow paint proportional to the number of ounces of red paint?
1. No. The number of hours are not proportional to her rate.
2. No, because area is squared it would not be proportional to the length of a side.
3. Yes, because he is adding the same anoint every week.
4. Yes, because he is adding the same amount of red for every increase in yellow.
Answer:
Marian earns $7.50 per hour at her part-time job. Is the number of hours Marian works proportional to the amount she earns?→No, number of hours Marian works is not proportional to the amount she earns.
The area of a square can be found by squaring the length of one of its sides. For example, if a square has a side length of 5 centimeters, the square's area is 5, 2, square centimeters, or 25 cm, 2, . Is the side length of a square proportional to its area?→No, the side length of a square is not proportional to its area. Area is proportional to the square of the length.
Rafael opens a savings account with an initial deposit of $50. Each week after that, he deposits $10 more. Is the number of weeks that have passed proportional to the amount in his account?→Yes, the number of weeks that have passed is proportional to the amount in his account.
Noah is mixing yellow and red paint. For every 5 ounces of yellow paint he adds 4 ounces of red paint. Is the number of ounces of yellow paint proportional to the number of ounces of red paint?→Yes, the number of ounces of yellow paint is proportional to the number of ounces of red paint.
Prove that quadrilateral A(1,-2), B(13,4), C(6,8) and D(-2,4) is a trapezoid, but is NOT an isosceles trapezoid.
Answer:
The distances on the sides of the trapezoid are not the same
Step-by-step explanation:
write the equation of the circle graphed below
Answer:
(x +2)^2 + (y +2)^2 = .5625
Step-by-step explanation:
(x - h)^2 + (y - k)^2 = r^2
(x + 2)^2 + (y + 2)^2 = .75^2
Which equation represents g(x) as a transformation of
g(x) = f(x) -5
g(x) = f(x - 5)
g(x) = f(x) + 5
g(x) = f(x + 5)
Answer:
g(x)=f(x)-5
Step-by-step explanation:
the negative inside the parenthesis reduces the x values but we have the y value reduced by 5 here so it goes outside
The equation represents g(x) as a transformation will be g(x) = f(x) - 5. Then the correct option is A.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
From the graph, we can observe that the function g(x) is 5 units below the function f(x).
If the function gets shifted downward by k units then the k is subtracted from the function. Then the function g(x) is given as,
g(x) = f(x) - 5
The equation represents g(x) as a transformation will be g(x) = f(x) - 5. Then the correct option is A.
More about the function link is given below.
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What is the slope of a line parallel to the line y = – 3/2x + 3? A.– 3/2 B.– 2/3 C. 2/3 D. 3/2
Answer:
The answer is A!
Step-by-step explanation:
When lines are parallel, the slope of both the lines are the same.
If f(x) = 4 – x2 and g(x) = 6x, which is the value of (g – f)(3)? (g – f)(3)=
I need help solving this
I WILL GIVE BRAINLIEST IF CORRECT !!!!
The diameter of a red blood cell is about 0.0008 cm. The diameter of a
whooping cough virus is about 2.5 x 10-5 cm. What is the approximate ratio
of the diameter of the red blood cell to the diameter of the whooping cough
virus?
A. 3.2 x 102
B. 3.1 x 10-3
C. 3.2 x 101
O D. 3.1 x 10-2
Answer:
C. [tex]3.2\times 10^{1}[/tex]
Step-by-step explanation:
[tex]d_r[/tex] = Diameter of a red blood cell = [tex]0.0008\ \text{cm}[/tex]
[tex]d_w[/tex] = Diameter of a whooping cough virus = [tex]2.5\times 10^{-5}\ \text{cm}[/tex]
Ratio of the diameter of the red blood cell to the diameter of the whooping cough virus
[tex]\dfrac{d_r}{d_w}=\dfrac{0.0008}{2.5\times 10^{-5}}=\dfrac{0.0008}{25\times 10^{-6}}=\dfrac{0.0008\times 10^6}{25}\\\Rightarrow \dfrac{d_r}{d_w}=\dfrac{800}{25}\\\Rightarrow \dfrac{d_r}{d_w}=32=3.2\times 10^{1}[/tex]
The required ratio is [tex]3.2\times 10^{1}[/tex].
Which of the following values for x is true for 4x > 10
Answer:
x>2.5
Step-by-step explanation:
Given 4x>10
divide 4 for both side
x>2.5
ASAP PLEASE!
Alejandro has 24 dozen bagels to sell. He has sold 9 dozen. How many more dozen bagels does he have to sell Which equation can be used to model the situation?
Answer:
d.
Step-by-step explanation:
What are the coordinates of the pre-image of F'?
(–2, 4)
(4, 2)
(2, –4)
(–4, –2)
Answer:
-2, 4
Step-by-step explanation:
Answer:
A. -2, 4
Step-by-step explanation:
283838383838382828 + 8383838388828299383838383838288888 =
A
B
C
D
Answer:
8.3838384e+33
Step-by-step explanation:
283838383838382828 + 8383838388828299383838383838288888 = 8.3838384e+33
if triangle ABC is similar to triangle DEF, find the value of x. AB is x and BC is 28. DE is 25 and EF is 20.
Answer:
x (or AB)=35
Step-by-step explanation:
x/25=28/20
20x=28x25
20x=700
x=35
The length of AB is 35 units
What is Similarity in Triangles?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
These three theorems, known as Angle - Angle (AA), Side - Angle - Side (SAS), and Side - Side - Side (SSS),
Given:
ΔABC ~ ΔDEF then the ratio of their corresponding sides are equal
AB/ DE = BC/ EF = AC / DF
So, AB/ DE= BC / EF
x/ 25 = 28 / 20
x/25 = 7/5
x= 5 x 7
x= 35
Hence, the length of AB is 35 units
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Which matrix represents the system of equations shown below?
3x-2y = 9
4x - y = 12
O A.
li
-1 9
-2 12
B.
3 -2 9
-1 12
O c.
-29
3 -1 12
O D.
-2
-1 9
Answer: The answer is [3 -2 9]
[4 -1 12]
Step-by-step explanation: I took the test and got it right
The matrix that represents the system of equations is:
| 3 -2 |
| 4 -1 |
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
We can write the system of equations in matrix form as AX = B, where:
A = the coefficient matrix of x and y coefficients
X = the column matrix of variables x and y
B = the column matrix of constants on the right-hand side of the equations
The matrix A is obtained by taking the coefficients of x and y from the left-hand side of the equations:
A = | 3 -2 |
| 4 -1 |
The matrix B is obtained by taking the constants from the right-hand side of the equations:
B = | 9 |
| 12 |
So the system of equations can be represented as:
| 3 -2 | | x | | 9 |
| 4 -1 | x | y | = | 12 |
Therefore, the matrix that represents the system of equations is:
| 3 -2 |
| 4 -1 |
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3. Decide whether each equation is true or false, and explain how you know.
a. 9.9.3 = 35
b. 7+7+ 7 = 3 + 3 + 3 + 3+3+3+3
c. / 2 / 3 / 2 = 2/3
d. 4' = 4.1
e. 6 + 6 + 6 = 63
Which problems are true or false
Answer:
a.false
b.true
c.false
d.I really can't get about it.
e.false
Step-by-step explanation:
So,here;
a.9.9.3=35 is given
or,243=35 (which is false)
b.7+7+7=3+3+3+3+3+3+3
or,21=21 (which is true)
c.2/3/2=2/3
or,2*2/3=2/3
or,4/3=2/3(which is false)
e.6+6+6=63
or,18=63 (which is false)
Find the value of x in the triangle shown
Answer:um I dont really know maybe 4???
Step-by-step explanation:
Dara’s computer monitor is 20 inches wide and 12 inches high. Which measurement is closest to the length of the diagonal of Dara’s monitor?
Answer:
23
Step-by-step explanation:
20x20=400
12x12= 144
400+144=544 sqaure root it and u get 23
The length of the diagonal of Dara’s monitor will be 23.32 inches.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Dara’s computer monitor is 20 inches wide and 12 inches high.
As we can see that the right triangle in the attached figure
Here the length of the diagonal of Dara’s monitor is equal to the hypotenuse.
According to Pythagoras's theorem,
A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
So 20² + 12² = d²
400 + 144 = d²
d² = 544
d = 23.32
Thus, the length of the diagonal is 23.32 inches.
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Lisa is putting 29 juice bottles into coolers for a picnic. Each cooler holds 6 juice bottles How many coolers will Lisa need to hold all the juice bottles?
Answer:
The answer is 4 with the remainder of 5.
Step-by-step explanation:
29 divided by 6, 6 goes into 29 4 times which is 24.
6 x 4 = 24
29 - 24 = 5
So, 4 r5.
ABCD diagonals intersect at E. If m∠BAC=4x+5 and m∠CAD=5x-14, then find m∠CAD.
Answer: m∠CAD = 81°
Step-by-step explanation: Diagonal is a line that unites opposite sides.
ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.
The figure below shows ABCD with its diagonals.
Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So
m∠BAC = m∠CAD
4x + 5 = 5x - 14
x = 19
Then, m∠CAD is
m∠CAD = 5(19) - 14
m∠CAD = 81
The angle m∠CAD is 81°.
How are the triangles related?
Answer:
They are congruent because they both have a "leg" measurement of 6, and a 90 degree angle
Step-by-step explanation:
What is 6 degrees is colder than -3 degrees
Answer:
-9 degrees
abcdefghijklmnopqrstuvwxyz
I will give brainiest to whoever answers correctly !!
Answer:
12,000
Step-by-step explanation:
i believe this would be what she withdrew but if not i'm sorry for giving the wrong answer
(-1,-3),(0,1)(6,2)(-4,1)(2,-6) is this a function
Answer:
function
Step-by-step explanation:
input is not repeated
Renee is creating a rectangular garden in her backyard. The length of the garden is 8 feet. The perimeter of the garden must be at least 30 feet and no more than 32 feet
Answer: One width of the garden can be 3.8 feet.
Step-by-step explanation: To find the perimeter of the garden, multiply the length by the width. Our width is 3.8 feet and our length is 8 feet.
3.8 x 8 = 30.4 feet.
The perimeter could be 30.4 feet because the garden is at least 30 feet and no more than 32 feet.
So, a width of 3.8 feet would work.
can someone tell me the answer please ?
Answer:
-5 as the gradeint because y=mx+c in which m is the gradient
Step-by-step explanation:
A triangle has side lengths of 12 meters, 16 meters, and 11 meters. What kind of triangle is it?
which equivalent is equal to 3(7x-5)
Answer:
21x -15
Step-by-step explanation:
use distributive property
a(b+c) = ab+ ac
help me please ill give brainlest
Answer:
D is the answer I think......
whats the answers to these tables
Answer:
You would just plug in the x’s for the equations above and that will equal your x
Step-by-step explanation:
for example x=1
the equation is x+5
so y equals 1+5=6
y=6
You have read “Golden Glass” and “There Is a Tree That Stands,” about two boys who are growing up. Using details from the passage and the poem, write an essay that compares and contrasts how Ted in “Golden Glass” and the speaker in “There Is a Tree That Stands” experience growing up. In your essay, be sure to explain the relationships Ted and the speaker have with their mothers and Ted’s and the speaker’s feelings about growing up.
Write a well-organized, text-dependent response. Be sure to save time to edit and review your work for complete sentences, spelling, punctuation, and appropriate language.
Answer:
b b bhbjj
Step-by-step explanation:
