Answer:
Length = 13 cm.
Step-by-step explanation:
If the length is L and the width is W we have the system:
2L + 2W = 32
LW = 39
From the first equation:
L + W = 16 and
L = 16 - W
Substitute this in the second equation:
W(16 - W) = 39
16W - W^2 = 39
W^2 - 16W + 39 = 0
(w - 13)(W - 3) = 0
W = 13, 3
As W < L, W must be 3 because L = 16-13 = 3 does not make sense.
So Length = 16 - 3 = 13.
39 minicus 32=7
Step-by-step explanation:
39 `IS THE AREAand 32 cm is the perimeter.7 is the length
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.
IS THERE ANYONE WHO HASNT GOT ANYTHING TO DO AT THE MOMENT BECAUSE I NEED HELP!!! :(
Answer:
me
Step-by-step explanation:
Answer:
I can try to help whats ur question?
HELP! PLEASE I NEED HELP
Hello there! :)
Answer:
y = -4x.
Step-by-step explanation:
Begin by finding the slope of the line using the slope formula:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in two points on the graph. We can use the points (-1, 4) and (0, 0):
[tex]m = \frac{0 - 4}{0 - (-1)}[/tex]
Simplify:
m = -4.
Therefore, the equation of this line in slope-intercept form (y = mx + b) is:
y = -4x.
In the diagram below, DE is parallel to XY. What is the value of x?
Answer:
the value of x is
115°+y=180 (being linear pair)
y =180°-115°
therefore, the value of y is 65°.
now again x=y=65°(being corresponding angle)
so, the value of x is 65°.
hope u understood..
It m triangle TOP =43°, what is mPT?
Answer:
the answer for the question is 13°
Answer: x is 25°
The measure of arcPT is 32 degrees. The measure of arcXZ is 54°
(The drawing is not to scale!)
Step-by-step explanation: The angle of the intersecting chords is
m∠ = (a + b)/2 . Use 'a' for the measure of arc PT, 'b' for the measure of arc XZ
So 43 =([x+7] +[2x + 4])/2 . Substitute the values given for a & b .
86 = 3x +11
75 = 3x
x = 25
m∠= a = x + 7
a = 32
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
Required
1. A man counted his animals, 80 heads and 260 legs (ducks and goats). how many goats are there?
30
60
80
50
Answer:
50
Step-by-step explanation:
d-nr of ducks
g- nr of goats
2*d+4*g=260
d+g=80 /*(-2)
2d+4g=260
-2d-2g=-160
------------------
2g=100
g=100/2
g=50
Answer:
50Option D is the correct option
Solution,
Let no.of ducks be X
Let no.of goats be y.
Total heads= X+y=80 ➡️ equation (i)
Total legs= 2x+4y=260➡️ equation (ii)
X= 80-y
[tex]2(80 - y) + 4y = 260 \\ or \: 160 - 2y + 4y = 260 \\ or \: 160 + 2y = 260 \\ or \: 2y = 260 - 160 \\ or \: 2y = 100 \\ or \: y = \frac{100}{2} \\ y = 50[/tex]
Number of goats= 50
Hope this helps...
Good luck on your assignment...
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.
The length of the prism is m. The width of the prism is m. The height of the prism is m. The prism holds a total of cubes. The volume is m3.
Answer:
A prism with a length of 4 meters, height of 3 meters, and width of 5 meters.
The length of the prism is
4m.
The width of the prism is
5m.
The height of the prism is
3m.
The prism holds a total of
60 cubes.
The volume is
60 m3.
sorry if its to late
Step-by-step explanation:
Answer:
The correct answers are:
The length of the prism is
4m.
The width of the prism is
5m.
The height of the prism is
3m.
The prism holds a total of
60 cubes.
The volume is
60 m3.
Step-by-step explanation:
Hope this helps and have a wonderful day! :) And please give credit to the person above. Thanks.
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!
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
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!
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
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)
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:
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:
what’s the central angle??
Which is the graph of f(c)=100(.7)x
→Answer:
Image below
→Step-by-step explanation:
First, we need to simplify the following equation to f(c) = 70x.
So the graph will be in the image below.
____________________________________________________________
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.
Which statement is true about the slope of the graphed line?
Answer:
the slope is 2/5
Step-by-step explanation:
you always do rise over run
(I am not sure what your choices are but I hope this helps:))
-AC<3
Answer: Slope is positive just took this
Step-by-step explanation:
plzzzz help asap!!! marking brainiest!!!
Answer:
see below
Step-by-step explanation:
3 ^ ( 6/5)
The base a is 3
The power is 6 which is b
the root is 5 which is c
[tex]\sqrt[5]{3^6}[/tex]
Please help! Which table represents a linear function? (will give brainliest)
Answer:
The fourth one
Step-by-step explanation:
Only the first one x and y interval 1, 2. The rest aren't linear.
Answer:
Step-by-step explanation:
it is the fourth one
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 :)
Can someone please help I really need help
Answer:
see below
Step-by-step explanation:
Each point and line moves to half its previous distance from the center of dilation, the origin. So, the point (-10, -10) moves to (1/2)(-10, -10) = (-5, -5). The dilation factor applies in the same way to other coordinates.
I find it easy enough just to spot the points on the graph and draw the lines between them.
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
Which statement and reason best complete the proof ?
Answer:
Option D
Step-by-step explanation:
Segment BD = Segment BD by reflexive property.
And that will also complete the congruence by AAS postulate.
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%
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.