Answer:
The exterior angle is angle 4. The remote interior angles are 1 and 2.
Step-by-step explanation:
An exterior angle is an angle that is between a side of the shape and a line extended from the side next to it.
Remote interior angles in a triangle are the two angles that are not a linear pair with the exterior angle. (A linear pair is a pair of angles that add up to 180 degrees and form a line.) Essentially, the they are the two angles not next to the exterior angle. As a side note, if you add up the measures of the remote interior angles, the sum will be equal to the measure of the exterior angle.
If any of this is confusing, feel free to ask for clarification. I hope this helps! ☺
In 30 minutes, a television station plays 8.5 minutes of commercials and airs a cooking show for m minutes. Write an equation that gives the length of the cooking show that was aired during this 30-minute period. please help!!
Answer:
30-8.5=m
Step-by-step explanation:
You have to figure out how many minutes the ads were not playing, which is also how long the cooking show was playing, and to do this you simply subtract.
PLS HELP ME ANSWER, i Need it quick
Answer:
69
Step-by-step explanation:
The median is the middle number. Using the box and whisker box, the median is the middle line in the box. The line is at 69 for Genevieve
Ariel bought nuts at the grocery store to make trail mix for her nature club. She spent a total of $23.50 on almonds and cashews. She bought 1.5 pounds of almonds at $6.50 per pound. If cashews cost $5.50 per pound, how many pounds of cashews did she buy?
Answer:
2.5 pounds of cashews.
Step-by-step explanation:
Let's say we have a for pounds of almonds and c for pounds of cashews.
6.5a + 5.5c = 23.5
6.5 * 1.5 + 5.5c = 23.5
9.75 + 5.5c = 23.5
5.5c = 13.75
c = 2.5
So, Ariel bought 2.5 pounds of cashews.
Hope this helps!
Answer:
2.5 pounds of cashews
Step-by-step explanation:
First, we have to find out how much money she spent on almonds. To do this we must multiply how many pounds she got by the price per pound. This means we multiply $6.5 by 1.5, which equals $9.75. Now we have to subtract this from the total amount she spent to find how much she spent on cashews. Since $23.50-$9.75=$13.75, she spent $13.75 on cashews. Now all we have to do is divide this by how much it cost per pound to find out how many pounds she bought. Since 13.75/5.5=2.5, she bought 2.5 pounds of cashews.
help with these questions please
Answer:
The mode = 24
Probability = 0.14
Probability = 0.74
Step-by-step explanation:
Mode is 24 because it has the highest frequency.
The probability of winning a score of 25 = 7/50 = 0.14 = 14%
Probability of winning sore of 23+ = 37/50 = 74% = 0.74
Hope this helps.
Good luck
Answer:
a) mode: 24
b) 14%
c) 74%
Step-by-step explanation:
a) had the most winning games that received that score.
b) 7/50
c) 37/50 10+14+7+4+2=37 total past 23.
37 past 23 divided by total amount 50=0.74 or 74%
Find the gradient of the line l1 which has equation 4x-3y+5=0 .
Answer:
The gradient is the same as the slope. To find the slope, let's convert this from standard form to slope-intercept form.
4x - 3y + 5 = 0
4x + 5 = 3y
4/3x + 5/3 = y therefore the answer is 4/3.
A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What is the decision for a statistical significant change in average weights at birth at the 5% level of significance? rev: 04_14_2015_QC_CS-13524 Reject the null hypothesis and conclude the mean is lower than 6.6 lb. Fail to reject the null hypothesis. Cannot calculate because the population standard deviation is unknown. Reject the null hypothesis and conclude the mean is higher than 6.6 lb.
Answer:
Step-by-step explanation:
n = 7
Mean = (9.0 + 7.3 + 6.0 + 8.8 + 6.8 + 8.4 + 6.6)/7 = 7.6
Standard deviation = √(summation(x - mean)²/n
Summation(x - mean)² = (9.0 - 7.6)^2 + (7.3 - 7.6)^2 + (6.0 - 7.6)^2 + (8.8 - 7.6)^2 + (6.8 - 7.6)^2 + (8.4 - 7.6)^2 + (6.6 - 7.6)^2 = 8.33
Standard deviation = √(8.33/7
s = 1.1
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 6.6
For the alternative hypothesis,
H1: µ ≠ 6.6
This is a two tailed test.
Since the number of samples is small and the population standard deviation is not given, the distribution is a student's t.
Since n = 7
Degrees of freedom, df = n - 1 = 7 - 1 = 6
t = (x - µ)/(s/√n)
Where
x = sample mean = 7.6
µ = population mean = 6.6
s = samples standard deviation = 1.1
t = (7.6 - 6.6)/(1.1/√7) = 2.41
We would determine the p value using the t test calculator. It becomes
p = 0.053
Since alpha, 0.05 < than the p value, 0.053, then we would fail to reject the null hypothesis.
There are one hundred people standing in a circle. They count off beginning at one and ending at one hundred. Since they are in a circle, ONE is next to TWO and ONE HUNDRED. ONE has a sword and kills TWO. He passes the sword to THREE who kills FOUR. And so forth. NINETY-NINE kills ONE HUNDRED and passes the sword to ONE. Then ONE kills THREE and passes the sword to FIVE. This goes on until only one person is left standing. Which number is he?
Answer:
number 1
Step-by-step explanation:
If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t circle s) (x)?
Answer:
Its B
Step-by-step explanation:
Answer:B 4(x – 7)2 – (x – 7) + 3Step-by-step explanation: got it ridgt on test
I need help with this honestly
Answer:
D.(-4,-8) and(2,4)
Step-by-step explanation:
y=-2x
y=x²-8
this means that the two equations are equal because they both add up to y
thus; x²-8=-2x
formulae=Ax²+bx+c=0
x²+2x-8=0
find two numbers which multiplied will give you x² and when added will give you 2x that is x and x
x²+x+x-8=0
x(x+1)+1(x-8)=0
(x+1)(x-8)=0
1)x+1=0. x= -1
further explanation on answers1)y=-2x
y=-2(-1)=2
y=2
2)y=x²-8
y=1²-8= -8
y= -8
note*this means that the answer should have both 2 and -8 thus d is the answer
Which expression has the same value as Negative 18 divided by (negative 9)? Negative 18 divided by 2 Negative 12 divided by (negative 3) Negative 10 divided by 5 Negative 8 divided by (negative 4) (for brainliest)
Answer: -8/-4
Step-by-step explanation:
When a negative integer gets divided my another negative integer, it results in a positive number. This means that we can eliminate all the negative symbols in this problem
18/9 = 2
Now all is left to determine which other expression is equivalent to 2
In the expression -10 / 5, since there is only one negative symbol, the postulate for negative number division states that two negative integers makes a positive number, and there is one negative integer and one positive whole number.
18/2 = 9 = incorrect
12/3 = 4 = incorrect
-10/5 = -2 = incorrect
8/4 = 2 = correct
So the expression -8/-4 is equivalent to the expression -18/-9
Answer:
Its D
Step-by-step explanation:
took the test its right, yw
Accessibility Text Size Aa Aa Aa Type your answers into the boxes. A fish bowl contains blue, green and red plastic fish. When a fish is picked out at random, the probability of it being blue is 0.7 and the probability of it being green is 0.2. A prize is given if a red fish is picked out. What is the probability of Matt picking a red fish? (Give your answer as a decimal.) There are 60 fish in the fish bowl. How many of the fish are red?
Answer:
Step-by-step explanation:
Since the fish bowl contains blue, green and red plastic fishes, it means that a fish picked at random would be any of these colors.
the probability of it being blue is 0.7 and the probability of it being green is 0.2, then probability of Matt picking a red fish is
1 - (0.7 + 0.2) = 0.1
If there are 60 fishes in the fish bowl, then the number of fishes that are red is
0.1 × 60 = 6 fishes
Need help with this XY chart for coordinate points
Answer:
Y= -9, -4, 1, and 11
Step-by-step explanation:
You substitute in the numbers on the left (under x) into the equation to find y.
Y=x-8
Y=x^2x-3 it’s graphs
Answer:
no point of intersection
Step-by-step explanation:
y=x-8
y=x^2-2x-3
What is the y-intercept of y=1+6x? Choose 1 answer: (Choice A) A (0,1) (Choice B) B (1,0) (Choice C) C (6,0) (Choice D) D (0,6)
Put the following numbers in ascending order.
A.540 g
B.180,000 mg
C.0.8 tonnes
D.2.3 kg
Answer:
B, A, D, C
Step-by-step explanation:
Covert all units into grams.
540 g = 540 g
180,000 mg = 180g
0.8 tonnes = 800000 g
2.3 kg = 2300 g
Arrange in ascending order.
180,000 mg, 540 g, 2.3 kg, 0.8 tonnes
Sally Citizen is walking along the street in New York City. When she is 100 feet from the Empire State Building, she looks up at an angle of elevation of 73° and sees a window washer hanging on the side of the building. Sally’s eyes are 5 feet above the street. To the nearest foot, how high is the window washer above the street?
Answer:
332.08 feet
Step-by-step explanation:
Let h be the height of the window washer above the street
Using trigonometric ratio
[tex]\tan 73^\circ=\dfrac{h}{100}\\ h=100 \times \tan 73^\circ\\h=327.08$ feet[/tex]
The distance of the window washer above the street
=327.08+5
=332.08 feet
The window washer is 332.08 feet above the street.
Plzzzzzzzz! A suitcase lock has a code 4 symbols long. The symbols on the lock are a star, a square, a circle, a triangle, a line, and a pentagon. What is the probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice? Enter your answer as a fraction in simplest form.
Answer:
[tex]\dfrac{1}{30}[/tex]
Step-by-step explanation:
6 symbols and 4-symbol code so number of combinations wich doesn't contain the same symbol twice would be:
6•5•4•3 = 360
If code starts with a star followed by triangle that means only one posibility for first two symbols and code doesn't containing the same symbol twice means that left 4 symbols for next two.
So number of combinations of code starting with a star followed by triangle and doesn't containing the same symbol twice will be:
1•1•4•3 = 12
The probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice:
[tex]\dfrac{1\cdot1\cdot4\cdot3}{6\cdot5\cdot4\cdot3}=\dfrac{1\cdot1}{6\cdot5}=\dfrac{1}{30}[/tex]
plz help!! tell me which ones you solve
Answer:
Step-by-step explanation:
17)-8(5-n)=-96
-8*(5-n)-(-96)=0
(0 - 8 • (5 - n)) - -96 = 0
8n + 56 = 8 • (n + 7)
8 • (n + 7) = 0
Solve : 8 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : n+7 = 0
Subtract 7 from both sides of the equation :
n = -7
n = -7 is your answer
What is the midpoint of the segment shown below?
Answer:
( 6 , 3)Option A is the correct option
Step-by-step explanation:
Solution,
Let the points be A and B
A ( 2,3)--------> ( x1 , y1 )
B ( 10,3)--------> ( x2, y2)
Now,
Midpoint of AB:
(X1+x2/2 , y1 +y2/2 )
= ( 2+10/2 , 3+3/2 )
= ( 12/2 , 6/2, )
= ( 6 , 3 )
Hope this helps ..
Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary. Item Amount Shorts $14.00 Soccer ball $25.00 Shin guards $10.00 Cleats $60.00 $104.94 $109.94 $115.54 $120.54
6% of $14.00=$0.84 so the total cost of shorts=$14.84
6% of $25.00=$1.50 so the total cost for soccer ball=$26.50
6% of $10.00=$0.60 so the total cost of shin guards=$10.60
$60.00+$104.94+$109.94+$115.54+$120.54=$510.96
36% of $510.96=$183.95 so the total cost of cleats=$694.91
694.91+$10.60+$26.50+$14.84=$746.85
$746.85+$5=$751.85
Answer:
its option d $120.54
Step-by-step explanation:
ALSOOOO a braddison shipper :)
1. A bag contains 12 mangoes, of which 4 are not ripe.
What is the chance of picking at random a ripe mango from the bag ?
2. There are 12 red and 8 blue balls in a bag. If a ball is selected at random from the bag, what is the probability that it is
red ?
3. What is the number of all possible outcomes of tossing a fair die ?
4. A boy throws a fair die once. What is the probability of getting the number 4 ?
5. There are 10 red and 15 green balls in a bag.
Find the probability of selecting at random a red ball from the bag.
Answer:
1. 2/3 or 66.7%
2. 3/5 or 60%
3. 6
4. 1/6 or 16.7%
5. 2/5 or 40%
Step-by-step explanation:
A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was 53.50. Find the price of each shrub.
Answer:
Is $9
Step-by-step explanation:
$9 because you subtract 17.50 from 53.50 and you will get 36 and then divide by 4 which make it $9 a shrub
13.555 to 1 decimal place
Answer:
13.6
Step-by-step explanation:
Since it is asking for 1 decimal place, we assume that it is the tenths decimal place. Since the hundredths decimal place is ≥5, we round up to 6.
There is no such thing as ones in decimals, so I am assuming you mean tenths. If you were to round this to the tenths place, the answer would be 13.6.
13.555 → 13.6 (4 and below, leave it alone. 5 and up, round it up)\
Hope this helps!
4x+23=9x-7
Solve for x
Answer:
x = 6
Step-by-step explanation:
4x + 23 = 9x - 7
23 = 9x - 4x - 7
23 + 7 = 5x
30 = 5x
30 ÷ 5 = x
6 = x
x = 6
One of the below tables of values shoes information from a linear realationship which one is it and how do you know? Explain your answer PLEASE HELP ASAP! :)
Answer:
The answer is D
Step-by-step explanation:
It's because both x and y increase linearly by adding two each time to the x and 4 to the y.
what’s the central angle??
given that $1 = £0.72
a) how much is $410 in £
b) what is the £ to $ exchange rate
Step-by-step explanation:
a) $410 × £0.72 = £295.20
The height of a redwood (in meter) tree varies with age (years). Identify the dependent and independent variables.
Answer:
height is dependent variable
age of redwood is Independent variable.
Step-by-step explanation:
Independent variables are those variables whose value does not gets affected by change in other variable.
dependent variable are those variable are those variables whose value does gets affected by change in other variable.
means that if there a change in value od one variable then the value of dependent variable also gets changed.
_______________________________________________
Given
The height of a redwood (in meter) tree varies with age (years).
Here height of redwood will change if age of redwood changes.
hence, height is dependent on age and hence going by definition of dependent variable
height is dependent variable
In the problem age does not change with height of the tree and it is also given that age varies with any other attribute.
hence change in value of age does not depend on any variable and hence
age of redwood is Independent variable.
what is 76 over 9 divided by 14 over 3?
Answer:
38/21 or 1.80952381
Step-by-step explanation:
Answer:
(76/3) / 14 OR AROUND 9/5
Step-by-step explanation:
So I'm assuming this equation is (76/9) / (14/3)
We can solve this in a simple way instead of a hard way -->
9 and 3 can cancel out to 3 and 1 so we have (76/3) / (14)
76/3 = 25 1/3 --> 25 1/3 / 14 If you simplify this it's around 1 4/5 or 9/5
Hope this helps!
Which expression is equivalent to StartFraction (5 a b) cubed Over 30 a Superscript negative 6 Baseline b Superscript negative 7 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Superscript 7 Baseline b Superscript 10 Baseline Over 6 EndFraction
StartFraction 125 a Superscript 18 Baseline b Superscript 21 Baseline Over 30 EndFraction
StartFraction 25 a cubed b Superscript 4 Baseline Over 6 EndFraction
StartFraction 25 a Superscript 9 Baseline b Superscript 10 Baseline Over 6 EndFraction
Answer:
Option D.
Step-by-step explanation:
The given expression is
[tex]\dfrac{(5ab)^3}{30a^{-6}b^{-7}}[/tex]
We need to find the expression, which is equivalent to the given expression.
The given expression can be rewritten as
[tex]\dfrac{5^3a^3b^3}{30a^{-6}b^{-7}}[/tex] [tex][\because (ab)^m=a^mb^m][/tex]
[tex]\dfrac{125}{30}\times \dfrac{a^3}{a^{-6}}\times \dfrac{b^3}{b^{-7}}[/tex]
[tex]\dfrac{25}{6}\times a^{3-(-6)}\times b^{3-(-7)}[/tex] [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]
[tex]\dfrac{25}{6}\times a^{3+6}\times b^{3+7}[/tex]
[tex]\dfrac{25a^9b^{10}}{6}[/tex]
Therefore, the correct option is D.
Answer:
The correct option is D
Step-by-step explanation: