Answer:
-8 is less than -1
Step-by-step explanation:
If you look at a number line
-8 -7 -6 -5 -4 -3 -2 -1 0
Which one is closest to 0. -1, therefore it is greater
The set of all numbers shown on the number line 8 < -1.
What is a number line?A number line is a horizontal line that has numbers in equal intervals. The numbers included on the line can be negative or positive taking zero as a reference point at the center called the origin.
The horizontal straight lines in which the integers are placed in equal intervals increase as we go right. The horizontal straight lines in which the integers are placed in equal intervals decreases as we go left.
A number line can be described as an instant line with numbers positioned at identical intervals or segments alongside its period. a variety of lines may be extended infinitely in any route and is commonly represented horizontally.
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The mean score of 7 boys and 16 girls is 49. If the scores of the boys are 42,85,47,29,58,54and 72, find the mean score of the girls
Answer:
[tex]\bar x_{girls} = 46.25[/tex]
Step-by-step explanation:
Given
[tex]Boys = 7\\Girls = 16[/tex]
[tex]\bar x = 49[/tex]
Required
Mean of girls
The mean of the boys and girls is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
This gives:
[tex]\bar x = \frac{\sum(boys) + \sum(girls)}{boys + girls}[/tex]
So, we have:
[tex]49= \frac{42+85+47+29+58+54+ 72 + \sum(girls)}{7 + 16}[/tex]
[tex]49= \frac{387 + \sum(girls)}{23}[/tex]
Cross multiply
[tex]23 * 49=387 + \sum(girls)[/tex]
[tex]1127=387 + \sum(girls)[/tex]
Subtract by 387
[tex]1127-387 = \sum(girls)[/tex]
[tex]740= \sum(girls)[/tex]
[tex]\sum(girls) = 740[/tex]
The mean of girls is:
[tex]\bar x_{girls} = \frac{\sum(girls)}{girls}[/tex]
[tex]\bar x_{girls} = \frac{740}{16}[/tex]
[tex]\bar x_{girls} = 46.25[/tex]
find the mean of the following, 1.5 m,1.7 m,1.6 m,1.5m,1.5m.
Determine the y-intercept of the quadratic equation Y = x^2 - 4x + 8
9514 1404 393
Answer:
(0, 8)
Step-by-step explanation:
The y-value of the y-intercept is the function value when x=0. That is the constant in the equation, since x=0 will make all of the x-terms be zero.
y-intercept = 8
Three identical squares are placed side by side to form a rectangle with a perimeter of 104 inches. What is the area, in square inches, of each square?
Answer: 169 square inches
Step-by-step explanation:
If the squares are placed side by side, then their perimeter will equal 8x, x being the length of one side
If we set that equal to the perimeter, we get 104=8x, and x=13
So 13 is the length of one side, and A=l x w so A=169 square cm
Find the missing length.
if 60 = c,
36 = m and
x is the missing length
c² = x . m
3600 = x . 36
x = 3600/36
x = 100
Arrange in descending order.
10,-5,-1, 12, 0, -13
Answer:
12, 10, 0, -1, -5, -13
Step-by-step explanation:
5[tex]\sqrt{37}[/tex] + [tex]\sqrt{98} - 3\sqrt{147}[/tex]
Hello!
[tex] \bf 5 \sqrt{37} + \sqrt{98} - 3 \sqrt{147} [/tex]
[tex] \bf 5 \sqrt{37} + 7 \sqrt{2} - 21 \sqrt{3} [/tex]
I removed the factors from under the radical.
Good luck! :)
17. Find an equation of the straight line that is perpendicular to x - y = 5 and passes through the point (8, -1).
18. Find the equation of the line in slope-intercept form that passes through the points (12, 4) and (4, 6)
Answer:
17.y=-x+12
18.y=-1/4x+7
Step-by-step explanation:
17.a Solve for y (y=-5+x)
17. b Reciprocal (y=-1x-5)
17. c Subsitute equation into (8,-1) (-1=-13=y=x+12)
18.a Subtract y values and x values= (6-4)/(4-12)=2/-8=-1/4, this will be your slope
18. b Plug in -1/4 into either of the two ordered pairs to find y value=(12,4)=(4=-3)=y value=7.
18. c=y=-1/4x+7
Write the ratio: 3 1/6 to 17/6
as a fraction in lowest terms.
Answer: [tex]\frac{19}{6} : \frac{17}{6}[/tex]
Step-by-step explanation:
Let us first represent the ratio.
3[tex]\frac{1}{6} : \frac{17}{6}[/tex]
Now we need to convert 3[tex]\frac{1}{6}[/tex] into a improper fraction.
[tex]\frac{19}{6} : \frac{17}{6}[/tex]
Now it is in its simplest form.
The final answer is [tex]\frac{19}{6} : \frac{17}{6}[/tex]
volume of a cuboid whose edges are 4 cm, 5 cm and 6 cm
Answer:
120
Step-by-step explanation:
Formula for cuboid: L × W × H
Plug in:
L × W × H
4 × 5 × 6
^ ^
20 × 6
^ ^
120
Hope this helps.
Combine and simplify these radicals. 160 40
I AM TIMED!!!
Answer:
200
hope it help
Answer:
160
Step-by-step explanation:
got it right
Ming wrote the table of points below.
x
y
5
10
10
20
15
30
Which explains whether or not Ming has described a proportional relationship, and why?
Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin.
Ming has not described a proportional relationship. Although it is a linear relationship, it does not pass through the origin.
Ming has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.
Ming has described a proportional relationship because the line does not pass through the or
Answer:
Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin
Step-by-step explanation:
Given
x - y
5 - 10
10 - 20
15 - 30
Required
Determine if the data are proportional
The dataset is small; so, we can derive the relationship by observation.
By observing the x and y values, the relationship is:
y = 2x --- i.e. multiply x values by 2.
This is further proven by:
y = 2 * 5 = 10
y = 2 * 10 = 20
y = 2 * 15 = 30
y = 2 * 0 = 0 --- the origin
Hence, the dataset is proportional and it passes through the origin.
In the following diagram, ABCD is a parallelogram. Is AC the bisector of angle BAD? Show calculations and explain
Answer:
yes
Step-by-step explanation:
in parallelogram ,<A=<C
<C=<D
then <D=115=<C=115
X+115+30=180....TRIANGLE THEROME
X=35
so that,<A=65
<C=65
Which is the correct answer?
Answer:
a reflection in the y axis followed by a translation 1 unit down
Step-by-step explanation:
Reflection over the y-axis then a unit down
You are responsible for hiring a company to take care of snow removal in the winter time. Company A charges an annual winter fee of $1050 plus $150 for each snow removal job that they complete. Company B charges no annual winter fee, but $200 for each snow removal job that they complete. a) Determine an equation to represent the cost structure of each snow removal company [KNOW-4 marks] b) Solve the linear system of equations that you created in part a) [KNOW-4 marks] c) How can you decide which company would be hired based on your solution in part b) - provide a detailed explanation for full marks. [COMM-3 marks]
Answer:
1050 + (150)times the amount of jobs they do for you during that winter, for A. 0 + (200)times the amount of jokes they do for you during that winter, for B.
Step-by-step explanation:
Boom I would choose B because it would be cheaper, since we do most of the snow removal ourselves.
I don't need a language ABC
Answer:
yes
Step-by-step explanation:
Answer:
?
Step-by-step explanation:
Find the value of ‘m’ in 3m+12=15
[tex] \sf3m + 12 = 15 \\ \sf3m = 15 - 12 \\ \sf3m = 3 \\ \sf \: m = \frac{3}{3} \\ \sf \: m \: = \underline{ \bf \: 1}[/tex]
-> Just move all the numbers from the left side to the right side until only the variable is left. Then you can solve the equation & find the required value.
3 m+ 12 = 15
⇔3 m= 3
⇔m= 1
Which equation should you solve to find x?
12
X х
34°
10
Answer:
B
Step-by-step explanation:
sin(theta) = perpendicular/hypotenuse
sin(34)=x/12
Parallel to the line y=-4x-1 and through the origin.
Answer:
y=-4x
Step-by-step explanation:
Parallel to the line, slope is - 4. The equation of line is y=-4x
what is the answer?
A. 41°
B. 98°
C. 123°
D. 139°
Answer:
139
Step-by-step explanation:
Supplementary angles add to 180 degrees
BOC + 41 = 180
BOC = 180-41
BOC = 139
Which transformation gives the same result as a reflection over the x-axis followed b
a reflection over the y-axis?
Answer:
filtration system is not working
filtration
What is the estimated value of 2v12 . 3V5 / V30 . V36
Answer:
the correct answer is b and I know this because I just had it
PLEASE HELP! ASAP
Sarah is five years old. When she asked her father about his age, he gave her this answer. "When you are my age, I will be 67." How old is her dad?
Her dad = 36
Sarah = 5
After 31 years sarah = 36
And her dad = 67
Answered by Gauthmath must click thanks and mark brainliest
[tex]\sqrt[3]{x+1} =2x+2[/tex]
HURRY PLEASEEEEE!!!!!!
Juan scored 24 points in the first half of the basketball game, and he scored p points in the second half of the game. Write this in variable/constant form.
Answer:
24+p=t
Step-by-step explanation:
If he scored 24 points in the first half, and p in the next half, he scored a total of t points.
We wish to estimate what percent of adult residents in a certain county are parents. Out of 300 adult residents sampled, 102 had kids. Based on this, construct a 95% confidence interval for the proportion p of adult residents who are parents in this county.
Answer:
The answer is "[tex]0.34 \pm 0.060[/tex]".
Step-by-step explanation:
Point estimate = Sample proportion [tex]= \frac{102}{300}= 0.34[/tex]
For [tex]95\%[/tex] confidence, [tex]z = 1.96[/tex]
Hence,
Margin of error[tex]= 1.96 \times \sqrt{0.34\times \frac{0.84}{300}}=1.96 \times 0.0308 = 0.060[/tex]
Therefore,
Confidence interval in the tri-equality form:
[tex]\to 0.34 - 0.060 < p < 0.34 + 0.060\\\\\to 0.28 < p < 0.4[/tex]
Confidence interval using point estimate and margin of error:
[tex]p = 0.34 \pm 0.060[/tex]
What is the volume of this figure?
Answer:
156.25
Step-by-step explanation:
1/2 × b ×h =12.5
12.5 ×9 =156.25 hope you ace it
8. If a prism is 15cm high with its base a triangle having sides 6cm, 8cm and 10cm. Find its volume. (a) 350cm (b) 30cm (c)460cm3 (d)90cm3
Answer:
360cm³
Step-by-step explanation:
Volume of a triangular prism = Base area * Height of prism
Height of prism = 15cm
Base area = 1/2 * 6 * 8
Base area = 24cm²
Volume of the prism = 15 * 24
Volume of the prism = 360cm³
Which linear inequality is represented by the graph?
Answer:
D
Step-by-step explanation:
The correct answer is D
Answer:
D
Step-by-step explanation:
y<2/3 x-1 is the answer
If the hypotenuse of an isosceles right triangle has a length of 5 centimeters, what is the length of one of the legs?
Select the correct answer.
O 5
O 5V2
O 6/2
O 5V2/2
Answer: D
Step-by-step explanation:
just did it
The length of one of the legs of the isosceles right triangle is, 5 / √2 cm.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The hypotenuse of an isosceles right triangle has a length of 5 centimeters.
Now, We know that;
Two sides of an isosceles triangle are equal.
Let two equal sides of triangle = x
Hence, We get by Pythagoras theorem,
⇒ Hypotenuse² = Base² + Perpendicular²
⇒ 5² = x² + x²
⇒ 25 = 2x²
⇒ x² = 25/2
⇒ x = √(25/2)
⇒ x = 5 / √2 cm
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