Step-by-step explanation:
there's no such that in mathematics
PLEASE HELP ME!
Which is a solution of the inequality x + 2 <8?
Group of answer choices
z < 4
z < 6
z = 6
z < 10
answer : z ‹ 6
explanation :
inequality given is x + 2 ‹ 8
take the +2 and move it to the back to 8, so it will be -2.
then you will directly get x ‹ 8 - 2
so the answer will be x ‹ 6.
I'm not sure whether you had the answer choice z is actually x, but if it does the answer is x ‹ 6 and not z ‹ 6
Joan’s finishing time for the Bolder Boulder 10K race was 1.83 standard deviations faster than the women’s average for her age group. There were 375 women who ran in her age group. Assuming a normal distribution, how many women ran faster than Joan?
By using normal Distribution we found 15 women ran faster than Joan
What is Standard Deviation?The average amount of variability in our data set is known as Standard Deviation.
A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
standard deviations from the mean is used to measure Z-score
If data point's score is identical to the mean score then the z score will be zero
Standard deviations a score X is above or below the mean measures z-score measures
From z- table we find the p values respectively.
By given , Joan’s finishing time for the Bolder Boulder 10K race was 1.83 standard deviations faster than the women’s average for her age group.
So, Z - score = 1.83
From z - table,
If Z =1.83 , then p-value is 0.9591.
It means that Joan was faster than 95.91% of the participants and slower than 100-95.91 = 4.09% of the participants.
Since, There were 375 women who ran in her age group.
we computed that, 4.09% faster than Joan
Number of women run faster than Joan is, = 375/100*4.09= , nearly = 15
Thus, 15 women ran faster than Joan.
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In a survey, 150 people said they prefer shopping online. 75% said they prefer shopping online. How many people were surveyed?
A. 300
B. 225
C. 200
D. 125
Let f(x)=x2−4 and g(x)=7−x. Perform the composition or operation indicated.
(fg)(8)
Answer:
[tex](f\circ g)(8)=-3[/tex]
Step-by-step explanation:
Composite Function
Given f(x) and g(x) real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:
[tex](f\circ g)(x)=f(g(x))[/tex]
For practical purposes, it can be found by substituting g into f.
The functions are defined as follows:
[tex]f(x)=x^2-4[/tex]
[tex]g(x)=7-x[/tex]
To find [tex](f\circ g)(8)[/tex], we evaluate g in x=8 and then apply the composition formula.
[tex]g(8)=7-8=-1[/tex]
[tex](f\circ g)(8)=f(g(8))[/tex]
[tex](f\circ g)(8)=f(-1)[/tex]
[tex](f\circ g)(8)=(-1)^2-4=1-4[/tex]
[tex]\boxed{(f\circ g)(8)=-3}[/tex]
1
Caleb finishes breakfast at 7:15 AM. Tell
what time he started breakfast if it took
the given number of minutes.
a. 10 minutes
b. 15 minutes
C. 20 minutes
d. 25 minutes
e. 26 minutes
Answer:
a. 7:05 am
b. 7:00 am
c. 6:55 am
d. 6:50 am
e. 6:49 am
HELP ASAP PLEASE!!
Does this image show an enlargement or a reduction?
An equilateral triangle with a side length of 3.4. An arrow points to a smaller equilateral triangle with a side length of 1.7
Enter your answer in the first Blank.
What scale factor was used?
Answer:
the image shows reduction
Step-by-step explanation:
1.7
Answer:
0.5
Step-by-step explanation:
First divide 1.7 to 3.4 and then you get your answer
Hope this helps :)
1 1/2 - 2/3 ÷ 4 2/5 × 3/4
Answer:
145/36
Step-by-step explanation:
(29/6) / (6/5) = 145/36
Answer:
29/6÷ 4(3/10)
145/36
Step-by-step explanation:
Emily buys 14 balloons 3 are red 4 are white and the rest are blue what is the ratio of blue balloons to the total number of balloons?
Answer:
The ratio of blue balloons to the total number of balloons is 1:2.
if a square piece of side 3 cm is cut from a rectangular sheet of paper 6 cm long and 4 cm wide, area of remaining sheet of paper is
Answer: 15cm squared
Step-by-step explanation:
Find the area of the rectangle:
Formula: length x width
So 6 x 4 which is 24
Then, find the square:
Formula: side x side
So 3 x 3 which is 9
Finally subtract the two areas to find the remaining sheet of paper
24 - 9 = 15
Answer:
the remaining sheet of paper is 3cm long and 1 cm wide
Step-by-step explanation:
the length of rectangular sheet is 6cm and when you cut 3 cm from it it remains 3 cm
the breadth of rectangular sheet is 4 cm and when you cut 3 cm from it 1 cm is left.
Help!I can’t figure this out.
Answer:
i beilive it is 1/1
Step-by-step explanation:
I need to figure this out for a quiz in APEX. I can get the rest if I understand how to do this one.
Answer:
the answer is b
Step-by-step explanation
eighty-four and seven-hundredths in standard form
Answer:
84.07
Step-by-step explanation:
eighty-four is 84
hundredth is .01 so seven-hundredths is .07
so eight-four and seven-hundredths is 84.07
Answer:
84.07
Step-by-step explanation:
7 would be where it is because when you do decimals and there are numbers behind the decimals you go back words.
when your cousin was born, she was 21 4/5 inches long. when your friends was born he was 21 3/4 inches long. who was longer at birth? how much longer?
Answer:
The cousin would be longer.
Step-by-step explanation:
4/5 = .8, and 3/4= .75, making the cousin longer at birth.
The sizes of the drill bits in a set are measured in inches. Which size drill bit is greater than 1/2 inch?
A. 3/8 inch
B. 7/16 inch
C. 1/8 inch
D. 9/16 inch
a) Work out the value of angle x.
O
X =
b) Give reasons for your answer.
I need help with questions B guys please.
I tried many reasons but it is not working
answer:
the total angle of a triangle is 180°
since all of the sides of the triangle are even, then it means that all the angles are also equal
180 divided by 3 (because theres 3 angles) = 60
since one of the interior angle of the triangle is 60, the congruent angle of x also equals to 60° and also 60+60+60=180 (straight line)
i made a little diagram above for you, i hope it helps you and goodluck!! :)
The value of angle x is 60° in the triangle.
What is triangle?Triangle is defined as the polygons of the three-sided and three-sided variety. The fundamental equation for a triangle's area is A = 1/2 b h, where b and h are the product of the triangle's base and height. All triangle shapes, including scalene, isosceles, and equilateral triangles, can be calculated using this formula.
The exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices, and angle x is one of the triangle's exterior angles.
Given that all three angles in a triangle are equal and all three sides of the triangle are even, the total angle of the triangle is 180°.
Since one of the interior angles of the triangle is 60°, the congruent angle of x is also 60°, therefore 60+60+60=180. (straight line).
So, the value of x is 60°
Thus, the value of angle x is 60° in the triangle.
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13.88 times 6 times 4
Answer:
333.12
Step-by-step explanation:
13.88x6= 83.28x4=333.12
The sum of 2 numbers is equal to 10. The difference between those same two numbers is equal to -4 find the numbers.
Answer:
3 and 7
Step-by-step explanation:
For problems like these I take the largest number in this case 10, and start writing out what 2 numbers would give me 10. 0+10, 1+9, 2+8, 3+7...while doing that I subtract the numbers as well. thus 3+7=10 3-7=-4
Which of the following expressions are equal to -58?
Answer:
-78-(-34)+(-14)
Step-by-step explanation:
-78+(+34)+(-14)
-78-14
-92+34
-58
And thats the answer needed there for it would be the last expression.
The slope field for a differential equation is shown in the figure. Determine the general solution of this equation.
100 POINTS
slope field with positive slopes in quadrant 1 and 4, negative slopes in quadrants 2 and 3, horizontal slopes along the y axis
y=Cx2
x=Cy2
x2 – y2 = C2
x2 + y2 = C2
Answer:
[tex]y=Cx^2[/tex]
Step-by-step explanation:
Clearly, [tex]\frac{dy}{dx}[/tex] is a function of x, so we can eliminate the second option.
The slope field does not resemble a circle nor hyperbola, so we can eliminate the last two options.
This leaves us with [tex]y=Cx^2[/tex] as our general solution.
Two containers are mathematically similar. Their volumes are 54 cm3 and 128cm3.
The height ofthe s maller containeris 4.5cm.
Calculate the height of the larger container.
Answer:
6 cm
Step-by-step explanation:
If the linear scale factor of two solids is k, then the volume scale factor is k^3.
The volume scale factor is 128/54 = 64/27 = (4/3)^3.
The linear scale factor is 4/3.
4.5 cm * 4/3 = 6 cm
Answer: The height of the larger container is 6 cm.
XYZ’s print publication charges $15 for each of the first four lines of an ad, and $9 for each additional line. Express the cost of an x-line ad, c(x), as a piecewise function.
By using the given information we can infer the domains of the function, and we will see that the piecewise function is:
c(x) = $15*x if 0 ≤ x ≤ 4
c(x) = $60 + 9*(x - 4) if x > 4.
How to get the piecewise function?
We know that the print charges $15 for each of the first four lines on an add, and $9 for each additional line.
Then we will have one piece for x between 0 and 4, and another piece for x larger than 4. The function will be:
c(x) = $15*x if 0 ≤ x ≤ 4
c(x) = $60 + 9*(x - 4) if x > 4.
Where the y-intercept on the second part is equal to the cost for the first four lines of the add.
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Please help me this is really confusing
Answer:
$4,637.50
Step-by-step explanation:
pls help me
Question 2 Part C (5 points): Mrs. Hinson is replacing her rectangular driveway with pavers. The area of her driveway is 64m² - 9n² square units. Mrs. Hinson needs to find the dimensions of her driveway so she knows how many pavers to buy.
Help Mrs. Hinson by factoring the area completely. To receive full credit, you must show all work.
WORK:
ANSWER: The dimensions are...
Let's factor out
[tex]\\ \rm\Rrightarrow 64m^2-9n^2[/tex]
[tex]\\ \rm\Rrightarrow (8m)^2-(3n)^2[/tex]
[tex]\\ \rm\Rrightarrow (8m-3n)(8m+3n)[/tex]
Done
Length=8m-3nBreadth=8m+3nIn ΔVWX, x = 97 cm, v = 48 cm and ∠W=28°. Find the length of w, to the nearest centimeter.
The answer would be 59. This is for law of cosines (sas)
The requried length of side w is approximately 44 cm to the nearest centimeter.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc, in algebraic operations.
To find the length of side w in ΔVWX, we can use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in the triangle. In other words:
w/sin(W) = x/sin(X)
where X is the angle opposite side x.
We are given x = 97 cm, v = 48 cm, and W = 28°. To find X, we can use the fact that the sum of the angles in a triangle is 180°:
X = 180° - W - V
X = 180° - 28° - 180°/2
X = 72°
Now we can plug in the values into the law of sines equation:
w/sin(28°) = 97/sin(72°)
Solving for w, we get:
w = sin(28°) * 97 / sin(72°) = 43.9 cm
Therefore, the length of side w is approximately 44 cm to the nearest centimeter.
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A boat heading out to sea starts out at Point A, at a horizontal distance
of 1390 feet from a lighthouse/the shore. From that point, the boat's
crew measures the angle of elevation to the lighthouse's beacon-light
from that point to be 7º. At some later time, the crew measures the
angle of elevation from point B to be 4°. Find the distance from point
A to point B. Round your answer to the nearest foot if necessary.
Step-by-step explanation:
I assume the boat is going straight out on the same horizontal line.
we have 2 right-angled triangles.
at point A
there is the ground distance from A to the lighthouse. which is 1390 ft.
then there is the height of the lighthouse.
and the line of sight from A to the lighthouse light.
the angle at A is 7°.
the angle at the bottom of the lighthouse is 90°.
therefore, the angle at the lighthouse light = 180 - 90 - 7 = 83°.
at point B
the ground distance from B to the lighthouse.
the height of the lighthouse again.
and the line of sight of B to the lighthouse light.
the angle at B = 4°.
the angle at the lighthouse bottom is again 90°.
therefore, the Angie at the lighthouse light is 180 - 90 - 4 = 86°.
we need the law of sine to solve this and find the missing side lengths.
a/sin(A) = b/sin(B) = c/sin(C)
with the sides and the correlated angles being opposite.
the first we need to do is finding the height of the lighthouse via triangle A, so that we can use it then also in triangle B.
1390/sin(83) = height/sin(7)
lighthouse height = 1390×sin(7)/sin(83) = 170.6705397... ft
now, we can use that in triangle B to get the ground distance to the lighthouse :
height/sin(4) = ground distance/sin(86)
ground distance = height×sin(86)/sin(4) =
= 2,440.702427... ft
the distance from A to B is the difference between that ground distance and the original distance of 1390 ft :
2,440.702427... - 1390 = 1,050.702427... ft ≈
≈ 1,051 ft
60 PTS!! We often use functions to model or represent situations and relationships. These
representations can be as equations, graphs, tables, or even verbal descriptions.
What does it mean to "represent" something? In what other situations have you heard that term used, and how was its meaning in those situations similar to its usage in
algebra?
Answer:
one variabk depends on another variable to help
A function is a relation between two sets of variables such that one variable depends on another variable. We can represent different types of functions in different ways. Usually, functions are represented using formulas or graphs. There are four ways for the representation of a function
Algebraically= mathematical model
Numerically=table of values or chart
Visually=continuous graph or scooter plot
Verbally=Word description
Step-by-step explanation:
Use cross products to identify the equation needed to solve this proportion:
5x = 18
2x = 45
9x = 10
2x = 14
Answer:
2x=45
Step-by-step explanation:
i did it
1 There are 10 girls and 5 boys in a class
What is the ratio of the number of girls to the number of boys?
What is the ratio of the number of boys to the number of girls?
Ratios are written as fractions:
The ratio of girls to boys would be girls / boys = 10/5 which can be reduces to 2/1
The ratio of boys to girls would be boys / girls = 5/10 which can be reduced to 1/2
Please do this word document and attach it after your done.
Answer:
See below.
Step-by-step explanation:
1) E and S
2) Pentagon
3) No, No, Yes
4) Infinite
5)
a. 4, 90°
b. 4 plates
c. Yes, see attachment.
My apologies if the picture isn't very neat/clear.
Step-by-step explanation:
[tex]1) \: e \: and \: s \\ 2) \: pentagon \\ 3) \: no \: no \: yes \\ 4)infinite \\ 5)4 \: \: \: \: \: . \: 90 \\ b) \: uplates \\ c) \: yes \: see \: attachment[/tex]
# Jerry Don is here#
Allison hikes 4/3 miles in 1/2 hour. What is her unit rate in miles per hour?
Answer:
ok so we now that half a hour is 30 minutes so in 30 minutes she walked 4/3 of a miles so lets just multiply that by 2
8/3 or 2 2/3 or a miles a hour
2.6667 mph
Hope This Helps!!!