Answer:
The sensitivity of the test is 0.9
Step-by-step explanation:
The given information are;
Has disease, Does not have disease
Test positive, 180 40
Test negative, 29 400
Where:
True Positive = TP = 180
False Positive = FP = 40
False Negative = FN = 29
True Negative = TN = 400
Sensitivity = TP/(TP + FN) = 180/(180 + 29) = 0.861
The sensitivity for the test is 0.861 which is 0.9 to one decimal place.
A ratio shows us the number of times a number contains another number. The specificity of the test is 90.90%.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The information table that is given to us has the following details, as shown below.
Has disease, Does not have the disease
Test positive, 180 40
Test negative, 29 400
Now, according to the given information, you can conclude a few of the points,
True Positive = TP = 180False Positive = FP = 40False Negative = FN = 29True Negative = TN = 400As we know that the specificity of a test is given as the ratio of the true negatives and the non-diseased, since the number of people who were true negative is 400, while the number of people who are non-diseased is 440(People who are negative + people who are falsely positive). Therefore, the specificity can be written as,
[tex]\rm Specificity = \dfrac{\text{True Negative}}{\text{Non-diseased}} \times 100\%[/tex]
[tex]\rm Specificity = \dfrac{400}{440}\times 100\% = 90.90\%[/tex]
Hence, the specificity of the test is 90.90%.
Learn more about Ratios:
https://brainly.com/question/1504221
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%
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.
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 :)
what’s the central angle??
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.
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 ..
Solve the system using elimination. 2x – 2y = –8 x + 2y = –1 pls help me -w-
Answer:
(- 3, 1 )
Step-by-step explanation:
Given the 2 equations
2x - 2y = - 8 → (1)
x + 2y = - 1 → (2)
Adding the 2 equations will eliminate the y- term, that is
3x = - 9 ( divide both sides by 3 )
x = - 3
Substitute x = - 3 into either of the 2 equations and evaluate for y
Substituting into (2)
- 3 + 2y = - 1 ( add 3 to both sides )
2y = 2 ( divide both sides by 2 )
y = 1
Solution is (- 3, 1 )
Answer:
-3,1
Step-by-step explanation:
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
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.
Nikki's sister is 7 years less than twice Nikki's age, a. The sum of Nikki's
and her sister's ages is 41. Which equation represents this relationship?
A) a+(7-2a)=41
B) a+(2a+7)=41
C) 2a-7=41
D) a=2a-7
Answer:
Step-by-step explanation:But my eqn came like this...
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.
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
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.
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!
Can you pls help I really need it now. I will give 10 points
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
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
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...
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
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..
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)
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.
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:
I have a piece of paper sized 10 cm bye 10 cm by 10 cm by 10 cm. I fold it in half to make a rectangle. I fold it in half again to make a much smaller square. What is the perimeter of the rectangle? What is the perimeter of the smaller square?
Answer:
The perimeter of the rectangle is 30cm and the perimeter of the square is 20cm
Step-by-step explanation:
Given
Dimension of Paper = 10 cm by 10 cm
Required
Find the perimeter of the shapes formed when the paper is folded
The dimension of the paper shows that it is a square;
At the initial stage when it's folded in half to form a rectangle;
This implies that only one side of the paper is folded and the new dimension becomes 10cm/2 by 10cm
New Dimension = 10cm/2 by 10cm
New Dimension = 5cm by 10cm
The perimeter of this is calculated as follows;
Perimeter = 2(L + B) where L and B are the dimensions of the rectangle
Perimeter = 2(5cm + 10cm)
Perimeter = 2(15cm)
Perimeter = 2 * 15cm
Perimeter = 30cm
When the paper is further folded in half to form a square;
This implies that the other side that wasn't folded initially, is now folded;
The new dimension becomes 5cm by 10cm/2
New Dimension = 5cm by 10cm/2
New Dimension = 5cm by 5cm
The perimeter of this is calculated as follows;
Perimeter = 2(L + L) where L is dimensions of the square
Perimeter = 2(5cm + %cm)
Perimeter = 2(10cm)
Perimeter = 2 * 10cm
Perimeter = 20cm
Hence, the perimeter of the rectangle is 30cm and the perimeter of the square is 20cm
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
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:
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.
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.
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