Answer:
14107500Step-by-step explanation:
[tex]7500 \times 5643 \\ = \frac{42322500}{3} \\ = 14107500[/tex]
Answer:
[tex]\Large \boxed{14107500}[/tex]
Step-by-step explanation:
There are different ways to do this;
1. ⇒ (7500×5643)÷3
⇒ 42322500÷3
⇒ = 14107500
2. ⇒ 7500*5643/3
⇒ 42322500/3
⇒ =14107500
^ Two ways you could have solved the Q.
Answer; 14107500
A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected. Hence, the decision was to reject the null hypothesis retain the null hypothesis no decision was made.
a. True
b. False
Answer:
A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected. Hence, the decision was to retain the null hypothesis .
Step-by-step explanation:
A chi-square goodness-of-fit test shows that the frequencies observed fit well with those that were expected then the value of the test statistic is equal to zero.
Then the decision would be to retain the null hypotheses as zero is included in any value of the level of significance applied.
The chi square is a continuous distribution ranging from zero to plus infinity.
11. The Book Club sells calendars to raise
money to buy books. The club buys
the calendars for $2 each. They sell the
calendars for $6 each. They also spend
$10.48 on advertising. If the club sells
106 calendars, what will be their profit?
A $402.52 52710.45 – 2.48
B $413.52 100x2=22
C $424.00
la to do
De
D $625.52
148
-2000
A
Answer:
profit =6-2=4
4×106-10.48 = 413.52
Answer: B. 413.52
Step-by-step explanation:
the net profit (ignore all other stuff): 106×6
the fee used for buying: 106×2
the advertising price: 10.48
106×6-106×2-10.48
=636-212-10.48
=424-10.48
=413.52
One of Euclid's postulates has always seemed to be too complex, and Euclid himself thought it should be proved as a theorem--but it cannot be. Which postulate is this
Answer:
The answer is "The Parallel Postulate ".
Step-by-step explanation:
When the two lines will cross where angles of the amount are less than 180 degrees and the direct line overlaps two direct lines, that produces 2 ways the reinforcement on the same side to less than 180 degrees if extended indefinitely from the other hand. All this means that there is only one segment on the same plane parallel to a certain line at any point, not with a line.
I NEED HELP PLEASE :(
Answer:
4
Step-by-step explanation:
[tex] \huge \sqrt[4]{256} = \sqrt[4]{ {4}^{4} } = 4 [/tex]
15. Solve the compound inequality.
5x - 11 < -11 or 4x + 2 > 14
Answer:
Step-by-step explanation:
5x −11+11<-11+11
5x<0
5x/5<0/5
x<0
4x+2 -2 >14 -2
4x>12
4x/4>12/4
x>3
there both open not closed
hope this helps
A population decreases from 14,500 to 12,035. What is the percentage change?
Answer:
Your answer is 17%
-7x=14 (no solution) a value of x that makes the equation false is...........which when simplified makes the equation into.......=........ Another value of x that makes the equation false is......which when simplified makes the equation turn into.......=.........?
Answer:
[tex]\Huge \boxed{x=-2}[/tex]
Step-by-step explanation:
[tex]-7x=14[/tex]
Dividing both sides by -7.
[tex]\displaystyle \frac{-7x}{-7} =\frac{14}{-7}[/tex]
[tex]x=-2[/tex]
There is only one solution that satisfies the equation.
Step-by-step explanation:
−7x=14
Divide ➗ both sides by -7.
x = 14/-7
x=-2
Hope this helps.........
Around ball that has a volume of 10 milliliters was found to have a density of 1
gram/milliliter. What is the mass of the round ball?
(Mass is measure in grams, volume is measured in milliliters and density is measured in
grams/milliliter.)
Density = Mass/Volume
Answer:
[tex] \boxed{\sf Mass \ (M) \ of \ the \ round \ ball = 10 \ grams} [/tex]
Given:
Volume (V) = 10 millilitres
Density ([tex] \sf \rho [/tex]) = 1 gram/millilitre
To Find:
Mass (M) of the round ball
Step-by-step explanation:
Formula:
[tex] \boxed{ \bold{Density \: ( \rho) = \frac{Mass \ (M)}{Volume \ (V)} }}[/tex]
[tex] \sf \implies Mass \ (M) = Density \ (\rho) \times Volume \ (V)[/tex]
Substituting value of density ([tex] \sf \rho [/tex]) & volume (V) in the equation:
[tex] \sf \implies M = 1 \times 10 \\ \\ \sf \implies M = 10 \: grams[/tex]
[tex] \therefore[/tex]
Mass (M) of the round ball = 10 grams
Keith bought 6 new baseball trading cards to add to his collection. The next
day his dog ate half of his collection. There are now only 25 cards left.
How many cards did Keith start with ?
Keith started with 44 cards.
So we need to work backwards.
After his dog ate half his collection, he had 25 cards.
To reverse that, you need to multiply 25 by 2.
25×2=50
If he bought 6 new cards that day, then he started with 6 cards less.
So you have to subtract 6 from 50.
50-6=44
♡ Hope this helped! ♡
❀ 0ranges ❀
Fill out the boxes to demonstrate your understanding of estimating a non perfect square? Estimate V388 to the nearest whole number?
1388
А
c
m-
Final Estimate
Answer:
The final estimate of √388 is 20.
Step-by-step explanation:
The number provided is:
x = 1388
Estimate the square root of 1388 as follows:
15² = 225
16² = 256
17² = 289
18² = 324
19² = 361
20² = 400
So, we now know that the square root of 388 lies between 19 and 20.
Check for 19.5²:
19.5² = 380.25
Check for 19.6²:
19.6² = 384.16
Check for 19.7²:
19.7² = 388.09 ≈ 388
The square root of 388 is closer to 19.7 or is approximately 20.
Thus, the final estimate of √388 is 20.
plz answer the question is in the pic :D
Answer:
the answer is y= -3/4 x-3 i do believe
Which real-world scenario involves a right triangle? a triangular bathroom tile with side lengths of 6 inches, 8 inches, and 12 inches a triangular bike path with lengths of 5 miles, 12 miles, and 13 miles a triangular plot of land with side lengths of 10 yards, 10 yards, and 15 yards a triangular street sign with side lengths of 3 feet, 3 feet, and 3 feet
Answer:
The bike path
Step-by-step explanation:
A right triangle has a hypotenuse that can be found using the formula
a^2 + b^2 = c^2 where c is the hypotenuse
The street sign is obviously not correct because a hypotenuse is longer than the sides. The bathroom tile isn't correct either because 6^2 + 8^2 = 100, or 10 after you take the square root. That leaves the bike path.
Checking to make sure:
5^2 + 12^2 = c^2
25 + 144 = √169
√169 = 13
The scenario from the given scenarios involving a right triangle is: "A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles", as the sides satisfy the Pythagoras theorem.
When do three given line segments form a right triangle?Any three line segments can form a right triangle only when they satisfy the Pythagoras Theorem, according to which, the square of the largest side in a right triangle is equal to the sum of the squares of the other two sides, that is, a² = b² + c², where a is the largest side, and b and c are the two other sides.
How to solve the given question?In the question, we are asked to identify from the given scenarios, the case that involves a right triangle.
We know that for three segments to be a right triangle, they need to satisfy the Pythagoras Theorem. So we check every scenario with the theorem:
A triangular bathroom tile with side lengths of 6 inches, 8 inches, and 12 inches: This is not a right triangle as it doesn't satisfy the Pythagoras theorem as (12² = 144) ≠ (6² + 8² = 36 + 64 = 100).A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles: This is a right triangle as it satisfies the Pythagoras theorem as (13² = 169) ≠ (12² + 5² = 144 + 25 = 169).A triangular plot of land with side lengths of 10 yards, 10 yards, and 15 yards: This is not a right triangle as it doesn't satisfy the Pythagoras theorem as (15² = 225) ≠ (10² + 10² = 100 + 100 = 200).A triangular street sign with side lengths of 3 feet, 3 feet, and 3 feet: This is not a right triangle as it doesn't satisfy the Pythagoras theorem as all the sides are equal, so it is an equilateral triangle.∴ The scenario from the given scenarios involving a right triangle is: "A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles", as the sides satisfy the Pythagoras theorem.
Learn more about the Pythagoras Theorem at
brainly.com/question/231802
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Find the area of a sector with a central angle of 140° and a diameter of 9.5 cm. Round to the nearest tenth.
2.9 cm^2
7.4 cm^2
110.3 cm^2
27.6 cm^2
Answer:
27.6 cm²
Step-by-step explanation:
The area of a sector is given by ...
A = (1/2)r²θ
where r represents the radius, and θ represents the central angle in radians.
The radius is half the diameter, so is 4.75 cm. The angle in radians is ...
(140°)(π/180°) = 7π/9
So, the sector area is ...
A = (1/2)(4.75 cm)²(7π/9) ≈ 8.77π cm² ≈ 27.6 cm²
The area of the sector is about 27.6 cm².
Convert 100 yards into meters (1 yd = 3 ft and 1 meter = 3.28 feet)
Answer:
91.46 m
Step-by-step explanation:
3 ft 1 m
100 yards x ----------- x ------------ = 91.46 m
1 yard 3.28 ft
The required solution is 100 yard is equal to 91.46 meter.
It is required to find the required solution.
What is length?Length is defined as the measurement or extent of something from end to end. The greater of two or the greatest of three dimensions of an object. It can be measured in different units like centimeters, inches, meters, etc.
Given:
From the dimension we know that given,
1 yard = 3 feet
100 yard =3*100 feet
100 yard = 300 feet.
Also,
1 meter = 3.28feet
3.28feet= 1 meter
1 feet=1/3.28 meter
1 feet=0.304 meter
300 feet= 0.304*300 meter
300 feet= 91.46 meter
Therefore, the required solution is 100 yard is equal to 91.46 meter.
Learn more about length here:
brainly.com/question/17227982
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The average annual amount American households spend for daily transportation is $6312 (Money, August 2001). Assume that the amount spent is normally distributed.a. Suppose you learn that 5% of American households spend less than $1000 for dailytransportation. What is the standard deviation of the amount spent?b. What is the probability that a household spends between $4000 and $6000?c. What is the range of spending for the 3% of households with the highest daily transportationcost?
Answer:
(a) The standard deviation of the amount spent is $3229.18.
(b) The probability that a household spends between $4000 and $6000 is 0.2283.
(c) The range of spending for 3% of households with the highest daily transportation cost is $12382.86 or more.
Step-by-step explanation:
We are given that the average annual amount American households spend on daily transportation is $6312 (Money, August 2001). Assume that the amount spent is normally distributed.
(a) It is stated that 5% of American households spend less than $1000 for daily transportation.
Let X = the amount spent on daily transportation
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = average annual amount American households spend on daily transportation = $6,312
[tex]\sigma[/tex] = standard deviation
Now, 5% of American households spend less than $1000 on daily transportation means that;
P(X < $1,000) = 0.05
P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{\$1000-\$6312}{\sigma}[/tex] ) = 0.05
P(Z < [tex]\frac{\$1000-\$6312}{\sigma}[/tex] ) = 0.05
In the z-table, the critical value of z which represents the area of below 5% is given as -1.645, this means;
[tex]\frac{\$1000-\$6312}{\sigma}=-1.645[/tex]
[tex]\sigma=\frac{-\$5312}{-1.645}[/tex] = 3229.18
So, the standard deviation of the amount spent is $3229.18.
(b) The probability that a household spends between $4000 and $6000 is given by = P($4000 < X < $6000)
P($4000 < X < $6000) = P(X < $6000) - P(X [tex]\leq[/tex] $4000)
P(X < $6000) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{\$6000-\$6312}{\$3229.18}[/tex] ) = P(Z < -0.09) = 1 - P(Z [tex]\leq[/tex] 0.09)
= 1 - 0.5359 = 0.4641
P(X [tex]\leq[/tex] $4000) = P( [tex]\frac{X-\mu}{\sigma}[/tex]
= 1 - 0.7642 = 0.2358
Therefore, P($4000 < X < $6000) = 0.4641 - 0.2358 = 0.2283.
(c) The range of spending for 3% of households with the highest daily transportation cost is given by;
P(X > x) = 0.03 {where x is the required range}
P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-\$6312}{3229.18}[/tex] ) = 0.03
P(Z > [tex]\frac{x-\$6312}{3229.18}[/tex] ) = 0.03
In the z-table, the critical value of z which represents the area of top 3% is given as 1.88, this means;
[tex]\frac{x-\$6312}{3229.18}=1.88[/tex]
[tex]{x-\$6312}=1.88\times 3229.18[/tex]
x = $6312 + 6070.86 = $12382.86
So, the range of spending for 3% of households with the highest daily transportation cost is $12382.86 or more.
Bruno noticed today’s gasoline price at the local convenience store was advertised as $3.40 per gallon. This price is 15% above last year’s price. Calculate last year’s price.
Answer:
Last year’s price = $2.96
Step-by-step explanation:
Given:
Current price of gasoline = $3.40
Higher rate = 15%
Find:
Last year’s price
Computation:
Last year’s price = Current price of gasoline [100 / (100 + 15)]
Last year’s price = Current price of gasoline [100 / (115)]
Last year’s price = $3.40 [100 / (115)]
Last year’s price = 2.95652
Last year’s price = $2.96
Dennis takes care of private swimming pools. He charges $50 to travel to a home and then $30 per hour. The equation t=50+30h models the total charge t for h hours of service. Find the ordered pair that presents 3 hours of work
Answer:
(3, 140)
Step-by-step explanation:
If we have the equation [tex]t = 50 + 30h[/tex], we can substitute the value 3 as [tex]h[/tex] to find the value of [tex]t[/tex].
[tex]t = 50 + 30(3)\\\\t = 50 + 90\\\\t = 140[/tex]
So we know that the total cost is $140.
To represent this as an ordered pair, we need to take note that the independent variable (x) is the one that we change to get the result (y).
We changed [tex]h[/tex] to get [tex]t[/tex], so [tex]h[/tex] is the x and [tex]t[/tex] is the y.
So it's represented as (3, 140).
Hope this helped!
Solve for m
-8m-=7-9m
M=?
Answer:
[tex]\boxed{m = 7}[/tex]
Step-by-step explanation:
Hey there!
Well to solve for m in the given equation,
-8m = -7 - 9m
Single out m
+ 9 to both sides
m = 7
Hope this helps :)
Answer:
m = 7
Step-by-step explanation:
-8m+9m=7-9m
Add 9m to each side
-8m+9m=7-9m
m = 7
Which expression is equivalent to 4(23)?
Answer:
92
Step-by-step explanation:
Multiply 4 and 23:
4 * 23 = 92
There are 36 cupcakes. 9 of them are chocolate. What percent are chocolate?
Answer:
25%
Step-by-step explanation:
9/36 = 0.25
25% are chocolate.
Match the fraction with its equivalent decimal form of the number.
1. 1 /23
2. 1 3/5
3. 1 1/4
4. 1 33/50
Choices are 1.6, 1.6 with line above 6, 1.25, and 1.66
Answer:
see below
Step-by-step explanation:
The overbar on decimal digits means they repeat forever.
Any fraction with a denominator consisting of powers of 2 and/or 5 will terminate. These can be converted to decimal by multiplying the fraction by a number to make the denominator an appropriate power of ten.
1 2/3 = 1.66666666666... repeating
1 3/5 = 1 (3·2)/(5·2) = 1 6/10 = 1.6
1 1/4 = 1 (1·25)/(4·25) = 1 25/100 = 1.25
1 33/50 = 1 (33·2)/(50·2) = 1 66/100 = 1.66
Of course, your calculator can tell you the decimal equivalents, too.
:2:
:
:1:
:
:3:
:
:4:
This is correct btw
What is a line of symmetry?
Answer:
Literally a line that shows the middle of the shape
Step-by-step explanation:
Answer:
The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.
Step-by-step explanation:
Given WZ bisects and angle XWY find the two ones not found question 30
WILL GIVE BRAINLIEST
Answer:
30). 68°
31). 35.5°
Step-by-step explanation:
Question (30).
If WZ is the angle bisector of ∠XWY.
∠XWZ ≅ ∠YWZ
Therefore, measure of both the angles will be equal.
m∠XWZ ≅ m∠YWZ = 68°
and m∠XWY = 2(68°) = 136°
Question (31)
If WZ is an angle bisector of ∠XWY,
∠XWZ ≅ ∠YWZ
Therefore,
m∠XWZ = m∠YWZ = [tex]\frac{1}{2}(m\angle XWY)[/tex]
m∠XWZ = m∠YWZ = [tex]\frac{1}{2}(71)[/tex]
m∠XWZ = m∠YWZ = 35.5°
Explain how to find the decimal approximation of an irrational square root using perfect squares.
Step-by-step explanation:
say if the irrational sqrt was the sqrt of 5. to find the approximation you would figure out what two perfect squares the sqrt of 5 lies between. which is sqrt of 4 and the sqrt of 9. then find the sqrt of those perfect squares which is 2 and 3. now you know that the sqrt of 5 will lie somewhere between 2 and 3.
3x - 4y = 19; 8x + y = 12
Are the equations parallel, perpendicular, or neither
Step-by-step explanation:
Hey, there!
Let's check whether the lines are parallel, perpendicular or neither.
Fistly let's check of parallel ,
Let me tell you when two st. lines are paralle, then their slope are equal.
Given equation are,
3x - 4y = 9.........(i)
8x+y = 12 ..........(ii)
Now,
From equation (i)
[tex]slope \: (m1) = \frac{ - coffe. \: ofx}{coffe. \: of \: y} [/tex]
[tex]\: slope \: (m1) = \frac{ - 3}{ - 4} [/tex]
[tex]therefore \: slope \: (m1) = \frac{3}{4} [/tex]
now, again slope from equation (ii).
[tex]slope(m2) = \frac{ - coffe.of \: x}{coffe. \: of \: y} [/tex]
[tex]slope \: (m2) = \frac{ - 8}{1} [/tex]
Therefore, the slope of equation (ii) is -8.
Since, Their slopes are not equal, they are not parallel.
Now, let's check for perpendicular,
To be perpendicular, slope (m1)× slope (m2)= -1
now,
[tex] = \frac{3}{4} \times - 8 [/tex]
= 3×-2
= -6.
So, the equations are neither parallel nor perpendicular.
Hope it helps...
Can someone help me I’m confused please :)
Answer:
6 hours
Step-by-step explanation:
Equation is 20x + 45.00
If you subtract $45 from $165 you'd get $120
( 165 - 45 = 120 )
120 ÷ 6 is 20, or $20
So x is equal to 6
x = 6
( 20 × 6 ) = 120 + 45 = 165
Hope I helped!
A rectangle is 3 times as long as it is wide. If the width of the rectangle is 2 inches,what is the rectangle’s area in square inches?
Answer:
12 in²
Step-by-step explanation:
W=2
L=2*3=6
A=6*2=12
Which figure is described below?
The locus of points 6 units from the
point (1, -2) on the coordinate plane.
Answer:
C ) circle
This equation represents circle
x²-2 x+y²+4 y - 31 =0
Step-by-step explanation:
Explanation:-
let P(x₁ , y₁) be the locus point
Let P(x₁ , y₁) and A(1,-2)
Given data PA = 6
PA² = 6²
( x₁ -1 )²+(y₁+2)² = 36
x₁²-2 x₁+1+y₁²+4 y₁ +4 = 36
x₁²-2 x₁+y₁²+4 y₁ = 36-5
x₁²-2 x₁+y₁²+4 y₁ - 31 =0
This equation represents circle
x²-2 x+y²+4 y - 31 =0
Answer:
Circle, (C)
Step-by-step explanation:
can someone help me answer this please
Answer:
-16
Step-by-step explanation:
- ( -24/6) ^2
Simplify inside the parentheses
- ( -4) ^2
Square -4
-(16)
-16
Please Help!! The line plot shows the length of insects in inches that were collected, how much longer is the longest insect than the shortest insect?
A 6 inches
B 1 inch
C 5/8
D 6/8
Answer:
D
Step-by-step explanation:
We are a given line plot that indicates the lengths of insects and the quantity of insects that fit each length.
To determine how much longer the longest insect is than the shortest insect, we simply need to subtract the shortest into the longest.
The longest insect we have is the lone insect at 7/8 inches long.
The shortest insect measures 1/8 inches.
Therefore, the difference is:
[tex]\displaystyle \begin{aligned} \frac{7}{8} - \frac{1}{8} & = \frac{7-1}{8} \\ \\ & = \frac{6}{8} \\ \\ &\left( = \frac{3}{4}\right)\end{aligned}[/tex]
In conclusion, our answer is D.
Answer:
[tex]\Large \boxed{\mathrm{\frac{6}{8} \ inch}}[/tex]
Step-by-step explanation:
The longest insect is 7/8 inch long.
There are 4 insects that are the shortest at 1/8 inch long.
Subtract the length of the shortest insect from the longest insect.
[tex]\displaystyle \frac{7}{8} -\frac{1}{8} \\\\\\ \frac{7-1}{8} \\ \\ \\ \frac{6}{8}[/tex]
The longest insect is 6/8 inch longer than the shortest insect.