Answer:
choice a.) 4.67
Step-by-step explanation:
Using the Z-score table.
We have:
mean u = 40
standard deviation s = 3
for X = 54
Use formula for Z-score: Z = (X -u)/s
Z-score = Z = (X - u)/s = (54 - 40)/3 = 14/3 = 4.6667
P(Z > 4.6667) = 0.000003 very close to 0
Which is the area of a trapezoid with bases of 10 m and 20 m, and a height of 5 m?
A. 70 m2
B. 75 m2
C. 80 m2
D. 150 m2
E. 300 m2
Answer:
The answer is B. 75 m2
Answer:
Its B
Step-by-step explanation:
you have helped me now I will help uou
Tell whether the ordered pair is a solution of the system of equations.
(2.1)
2x+y=5
y = 4x– 1
1. No, (2,1) is a solution for y = 4x – 1 but not for 2x + y = 5.
2. Yes, (2,1) is a solution for both equations
3. No, (2,1) is a solution for 2x + y = 5 but not for y = 4x - 1
Answer:
2x + y = 5
y = 4x – 1
Substitute (2, 1) into system, then:
2x + y = 5 => 2 x 2 + 1 = 5 => 5 = 5 (satisfied)
y = 4x– 1 => 4 x 2 - 1 = 1 => -7 = 1 (not satisfied)
=> Option 3 is correct.
Hope this helps!
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Can someone help me figure out what this is?
Answer:
M = 84
Step-by-step explanation:
Opposite angles in a quadrilateral inscribed in a circle are supplementary
R+ M = 180
96+ M = 180
Subtract 96 from each side
96-96+M = 180-96
M =84
Answer:
Step-by-step explanation:
8
Write an equation in slope-intercept form that goes through the points (-3, -4) and (3,4).
Answer:
Y = 4/3x + 0
Step-by-step explanation:
(-3,-4) and (3,4) can be plugged in to rise over run.
y 4 -(-4) = 8
x 3 - (-3) = 6
8/6 = 4/3
Plug into slope intercept form
4 = 4/3(3) + b
4 = 12/3 +b
4 = 4 +b
Subtract from both sides
0 = b
Y = 4/3x + 0
The equation in slope intercept form that goes through the points (-3,-4) and (3,4) is [tex]y=\frac{8}{6}x[/tex]
What is Slope of the line?The slope of a line gives the measure of its steepness and direction.
What is the Slope intercept form?The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
Given,
Slope of the line passing through the points (-3,-4) and (3,4)
Slope of the line m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}=\frac{4+4}{3+3}=\frac{8}{6}[/tex]
Therefore slope of the line is [tex]\frac{8}{6}[/tex]
Find the y intercept using the slope and the point (-3,-4)
y=mx + b
-4 = [tex]\frac{8}{6}[/tex]×-3 + b
-4 =-4+b
b=-4+4 =0
Then,
The equation in slope intercept form is
y = mx + b
y = [tex]\frac{8}{6}[/tex]x + 0
[tex]y=\frac{8}{6}x[/tex]
Hence, the equation in slope intercept form that goes through the points (-3,-4) and (3,4) is [tex]y=\frac{8}{6}x[/tex]
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In the figure above, angles are as marked. The angle labeled with a measure of bº is an exterior angle. What is the measure of b?
Answer:
105
Step-by-step explanation:
First, solve for a
2a-15+2a+15+3a-5+a+5=360(Sum of interior angles of quadrilateral is 1360)
8a=360
a=360/8
a=45
Now,Look at the angles formed in straight line
b+2a-15=180(Sum of angles formed in a straight line is 180)
b+2×45=180+15
b=195-90
b=105
Slope of -3 and y intercept of 2
Answer:
the answere is 100
Step-by-step explanation:
The probability of a chance event is 0.3, it is
to happen
when compared to a chance event with a probability of 0.4
Select one:
equally likely
less likely
both more and less likely
more likely
Answer:
less likely
Step-by-step explanation:
Lower probability = lower chance to happen
0.3 is less than 0.4
Answer:
2nd
less likely
Step-by-step explanation:
the probability of landing on yellow when spinning a spinner is 1/8 choose the likelihood that best describe the probability of this event
A) unlikely
B) likely
C) certain
D) neither likely or unlikely
Answer:Unlikely
Step-by-step explanation:
Given
Probability of landing is [tex]\frac{1}{8}=0.125[/tex]
i.e. [tex]12.5\%[/tex]
Thus Probability is less than [tex]50\% [/tex]
Therefore it cannot be likely because for that Probability must be greater than [tex]50\%[/tex]
Therefore the following event is Unlikely because it is greater than 0.
Answer:
The answer is A my children
Step-by-step explanation:
The blueprint for the Pelham's living room has a scale of 2 inches=5 feet. The family wants to use a scale of 1 inch=44 feet. What is the width of the living room on the new blueprint?
(the original width is 8)
Using the original scale of 2 inches = 5 feet, the living room is 20 feet wide. With the new scale of 1 inch = 44 feet, the width of the living room on the new blueprint would be 2.2 inches.
Explanation:To solve this problem, one must first determine the actual width of the living room using the original scale. According to the original scale, 2 inches represent 5 feet. This would mean that the actual width of 8 inches would represent (8 / 2) * 5 = 20 feet. Now, set up a proportion with the new scale, which is 1 inch = 44 feet. If x is the width on the new blueprint, we would have x / 44 = 1 / 20, solving for x gives us x = 44 / 20 = 2.2 inches. Therefore, the width of the living room on the new blueprint would be 2.2 inches.
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What number would you add to both sides of x - 20x = 5 to complete the square?
Answer:
100
Step-by-step explanation:
If you add 100 to both sides, you get "x^2-20x+100," which simplifies to (x-10)^2
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECTLY EXPLAIN HOW YOU ARE CORRECT
Answer:
D
Step-by-step explanation:
Since this is right triangle, we can use the Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs, and c is the hypotenuse.
14 and 16 are the legs, because they form the right angle. x is the hypotenuse, because it is opposite the right angle.
14^2+16^2=x^2
Evaluate the exponents
196+256=x^2
Add
452=x^2
To get this is simplest radical form, find the greatest square root that divides evenly into 452
4 is the greatest square root. 4 times 113 equal 452
So, we have
[tex]\sqrt{4}\sqrt{113}[/tex]
Take the square root of 4
2[tex]\sqrt{113}[/tex]
So, choice D is correct.
HELP! ASAP! MARKING BRAINLIEST!!
Which pyramid has a greater volume, and how much greater is its volume?
A rectangular pyramid on the left with a base of 7 inches by 6 inches and height of 3 inches.
A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches.
a). The volume of the pyramid on the left is greater by 2 inches cubed.
b). The volume of the pyramid on the left is greater by 6 inches cubed.
c). The volume of the pyramid on the right is greater by 2 inches cubed.
d). The volume of the pyramid on the right is greater by 6 inches cubed.
Answer:
a). The volume of the pyramid on the left is greater by 2 inches cubed.
Step-by-step explanation:
The volume of a rectangular based pyramid is
V = [tex]\frac{1}{3}[/tex] w b h
Where w, and b are the lengths of the base of the pyramid, and h is the height of the pyramid
Substitute the values given for both pyramids into the equation, and solve for V
Left Pyramid:
V = [tex]\frac{1}{3}[/tex] w b h
V = [tex]\frac{1}{3}[/tex] * 7 * 6 * 3
Volume of Left Pyramid = 42 [tex]inches^{3}[/tex]
Right Pyramid:
V = [tex]\frac{1}{3}[/tex] w b h
V = [tex]\frac{1}{3}[/tex] * 4 * 3 * 10
Volume of Right Pyramid = 40 [tex]inches^{3}[/tex]
Subtract the two volumes to find the difference in volume
42 - 40 = 2 [tex]inches^{3}[/tex]
Answer:
The volume of the pyramid on the left is greater by 2 inches cubed.
Step-by-Step Explanation
Find the product of (4z2 + 7z - 8) and (-z + 3).
The product of (4z2 + 77 - 8) and (-Z + 3) is -423 +
Z - 24.
Answer: -4z3 + 5z2 + 29z - 24
Step-by-step explanation:
Answer:
5
29
Step-by-step explanation:
Which rational number falls between 7/8 and 6/9
A 15/31
B 3/17
C 53/72
D 7/12
Answer:
c 53/72
Step-by-step explanation:
Find the discriminant of the quadratic equation, and determine the number of real solutions of the equation.
2x2 + 6x + 9 = 0
The discriminant is _____
The number of real solutions of the equation is _____
Answer:
Discriminant is -36 and the number of real solution and its 2 imaginary solutions.
Step-by-step explanation:
Use the net to find the surface area of the square pyramid.
A) 1040 in2
B) 1426 in2
C) 2889 in2
D) 2945 in2
If an integer from 3 through 14 is chosen at random, what is the
probability that the number chosen is NOT prime?
Answer:[tex]\frac{7}{12}[/tex]
Step-by-step explanation:
Given
There are integer between 3 and 14 available to be chosen (total 12 integers)
Prime integers among them
3,5,7,11,13 i.e. total of 5 prime integers
So the probability that the number chosen is not Prime
[tex]=1-P\text{(no is prime)}[/tex]
[tex]=1-\frac{5}{12}[/tex]
[tex]=\frac{12-5}{12}[/tex]
[tex]=\frac{7}{12}[/tex]
Create a graph of the polynomial function g(x) = x3 + 2x2 − 9x − 18.
The graph is shown below
If the tree is 25 feet tall , what is the angle of depression to his friend
Answer:
15
Step-by-step explanation:
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!
Bo and Erica are yoga instructors. Between the two of them, they teach 39 yoga classes each week. If Erica teaches 15 fewer than twice as many as Bo, how many classes does each instructor teach per week?
A.
22 Bo; 17 Erica
B.
18 Bo; 21 Erica
C.
15 Bo; 24 Erica
D.
20 Bo; 19 Erica
Answer:
c
Step-by-step explanation:
39-15=24
24+15=39
PLEASE ANSWER ASAP :)
Answer:
(x+6)( x^2 -2)
Step-by-step explanation:
x^3 +6x^2 -2x-12
We can factor by grouping
x^3 +6x^2 -2x-12
Factor x^2 out of the first group and -2 out of the the second group
x^2 (x+6) -2 (x+6)
Now factor out (x+6)
(x+6)( x^2 -2)
I just need the answer plz
Answer: i got −5s^3+2s^2−s−9
Step-by-step explanation:
What is the mean change with the numbers 90 91 88 84 86 85 86
Answer:
-0.571428571, or -0.6 if you round it to the nearest tenth
Step-by-step explanation:
Okay, so to break it down, you want to find the difference between each of the numbers right next to each other.
90 -> 91 = 1
91 -> 88 = -3
88 -> 84 = -4
84 -> 86 = 2
86 -> 85 = -1
85 -> 86 = 1
Add up all the differences.
1 - 3 - 4 + 2 -1 + 1 = -4
How many numbers were there? 7
Divide the sum (-4) by 7.
-4/7 = -0.571428571
Please help! Will mark brainliest!
Answer:
13x+2
Step-by-step explanation:
4x + 1
4x + 1
3x
2x
-----------
= 13x + 2
A shipping container has a volume of 2,880 cubic inches. Which could be the dimensions of the container?
Missing part of the question
- 10 in, by 12 in. by 24 in.
- 12 in. by 15 in. by 18-in.
- 10 in. by 16 in. by 20 in.
- 12 in. by 12 in. by 20 in.
Answer:
The possible dimensions of the container are
- 10 in, by 12 in. by 24 in
- 12 in. by 12 in. by 20 in
Step-by-step explanation:
Given
Volume of the container = 2,880 cubic inches
Required
Possible dimensions of the container
To solve this question, the following assumption has to be made;
It'll be assumed that the container is a rectangular
To calculate the volume of a rectangular figure, we simply multiply the dimensions of the figure,
This implies that; we'll test each of the given options.
Which ever gives 2,880 is the right answer.
- 10 in, by 12 in. by 24 in.
[tex]Volume = 10 in * 12 in * 24 in[/tex]
[tex]Volume = 2,880[/tex] cubic inches
- 12 in. by 15 in. by 18-in.
[tex]Volume = 12 in * 15 in * 18 in[/tex]
[tex]Volume = 3,240[/tex] cubic inches
- 10 in. by 16 in. by 20 in.
[tex]Volume = 10 in * 16 in * 20 in[/tex]
[tex]Volume = 3,200[/tex] cubic inches
- 12 in. by 12 in. by 20 in.
[tex]Volume = 12 in * 12 in * 20 in[/tex]
[tex]Volume = 2,880[/tex] cubic inches
From the calculation above, only option A and D gives 2,880;
Hence, the possible dimensions of the container are
- 10 in, by 12 in. by 24 in
- 12 in. by 12 in. by 20 in
Given a volume of 2,880 cubic inches, one possible set of dimensions for a shipping container could be length = 24 inches, width = 15 inches, and height = 8 inches.
The volume of a rectangular container can be calculated by multiplying its length, width, and height. Given the volume of 2,880 cubic inches, we are looking for three numbers (dimensions) that, when multiplied together, equal 2,880.
One possible set of dimensions could be length = 24 inches, width = 15 inches, and height = 8 inches. Multiplying these dimensions together: 24 inches × 15 inches × 8 inches = 2,880 cubic inches, which matches the given volume of the container.
Can someone help me with this question
Answer:
15 & -15
Step-by-step explanation:
Answer:
x=+15/-15
Last answer is correctStep-by-step explanation:
[tex] {x}^{2} = 225 \\ x = \sqrt{225} \\ x = 15[/tex]
6(a+3)=2a+30 what is the answer
Answer:
a = 3
Step-by-step explanation:
6(a+3)=2a+30
Distribute
6a + 18 = 2a+30
Subtract 2a from each side
6a + 18 -2a= 2a+30-2a
4a +18 =30
Subtract 18 from each side
4a+18-18 = 30-18
4a = 12
Divide each side by 4
4a/4 = 12/4
a = 3
Check whether the given number is a
solution of the inequality.
4x + 2 = 14 x = 3
Answer:
TRUE
Step-by-step explanation:
x=3
4x + 2 = 14
4(3)+2=14
12+2=14
14=14
Which statement best describes the relationship between the two variables?
O There is an association because the relative frequencies by row are different
O There is an association because the relative frequencies by row are similar
There is no association because the relative frequencies by row are different,
O There is no association because the relative frequencies by row are similar
The answer is, O There is an association because the relative frequencies by row are similar.
What is variables?A quantity which during a calculation is assumed to vary or be capable of varying in value.
Here, we have,
The statement best describes the relationship between the two variables,
is,
O There is an association because the relative frequencies by row are similar.
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14. Calculate A bird
weighing 15 g eats 10 times
its weight in food in a week.
How much food does the
bird eat in a day?
Answer:
21.429 grams per day
Step-by-step explanation:
15g times 10 =150g
150g/7 =21.429g per day
Final answer:
A bird that eats 10 times its weight in food per week, with a weight of 15 g, consumes approximately 21.43 g of food per day.
Explanation:
If a bird weighing 15 g eats 10 times its weight in food in a week, we first calculate the total amount of food the bird eats in a week and then divide that by 7 to find the daily intake.
First, we calculate the weekly food consumption:
The bird's weight = 15 g
Total weekly food intake = 15 g × 10 = 150 g
Daily food intake = Total weekly intake ÷ 7
Daily food intake = 150 g ÷ 7 ≈ 21.43 g
Therefore, the bird eats approximately 21.43 grams of food per day.