True or False: Calling a triangle “ scalene” classifies it by its sides

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

We have,

To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.

Now,

Prevalence of coronavirus in California: 3 out of 1000

False positive rate of the antigen test: 0.05 (5 out of 100)

Let's calculate the probability of a positive test result.

The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):

True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)

The probability of a positive test result can be calculated using Bayes' theorem:

P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)

P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)

P(Positive test) = 0.0024 + 0.04985

P(Positive test) = 0.05225

Therefore,

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

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Answer:

this is a trick question 176 fps is equal to 120 mph

so 120=120

Answer:

tan 0= -2.4

sin 0 = 0.42

Step-by-step explanation:

sec 0 = -13/12 => cos 0 = -12/13

cot 0 < 0 => tan 0 < 0

so, the angle is on second quadrant

=> tan 0 = -12/5 = -2.4

=> sin 0 = 5/12 = 0.42

Answer:

Solution given;

Sec θ=-\(\frac{13}{12}\)

cotθ< 0,

It lies in second quadrant.

where sin and cosec is positive.

Now

\( \frac{1}{cosθ}=-\frac{13}{12}\)

cosθ=\(\frac{12}{13}\)

\(\frac{b}{h}\)=\(\frac{12}{13}\)

b=12

h=13

By using Pythagoras law

p=\( \sqrt{13²-12²}=5 \)

Now

exact values of tan θ=\(\frac{p}{b}\)=\(\frac{5}{12}\)

since it lies in II quadrant

tan θ=-\(\frac{5}{12}\)

and

sinθ=\(\frac{p}{h}\)=\(\frac{5}{13}\)

since it lies in II quadrant

sin θ=\(\frac{5}{13}\)

Answer:

c and d?

Step-by-step explanation:

im not sure if thats right but those are the only 2 numbers that i see beetween the number line

Answer:

A, C, D, E

Step-by-step explanation:

-7/10 in decimal form is -0.7 so it would be between -0.2 and -0.8

-9/10 as a decimal is -0.9 so it is too high

-1/2 as a decimal is -0.5 so it is between -0.2 and -0.8

-1/4 as a decimal is -0.25  so it is too high

-2/5 as a decimal is -0.4 so it is between 0.2 and 0.

EDIT: 1/4 is right actually so it's d to.

Answer:

The answer is C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

f(0) means the graph of f(x) in which the value of the variable x in the function f is zero.. So, f(0) represents graph for zero value of x

The scatter plot shows a [positive linear] association.

From the question, we have the following parameters that can be used in our computation:

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values increases

This represents a positive linear association.

Hence, the association is a positive linear association.

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Using the length formula we know that the length of the given arc is 30.144 miles.

In mathematics, an arc is a portion of the boundary of a circle or curve. It is sometimes referred to as an open curve.

The measurement around a circle that determines its edge is called the circumference, often known as the perimeter.

So, the formula to find the length of the arc is:

Length of an Arc = θ × r

Now, insert values and calculate as follows:

Length of an Arc = θ × r

Length of an Arc = 4π/5 × 12

Length of an Arc = 4π/5 × 12

Length of an Arc = 12.56/5 * 12

Length of an Arc = 2.512 * 12

Length of an Arc =  30.144

Therefore, using the length formula we know that the length of the given arc is 30.144 miles.

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Answer:

0.666 miles

Step-by-step explanation:

2 miles divide 3

=0.666

Answer: D. 1440cm

Step-by-step explanation:

volume=lengthxwidthxheight

8x15x12=1440

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

The system of linear equations that can be solved from the matrices is given as follows:

Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:

A = [-5 4; -8 1]

Hence the multiplication of matrices representing the system is given as follows:

[-5 4; -8 1][x; y] = [3; -6]

Applying the multiplication of matrices, the system of equations is given as follows:

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\(solution= \frac{x}{3}=\frac{6}{9}- x=2\\ answer:2ft\)Answer:

Step-by-step explanation:

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Answer:

Step-by-step explanation:

Let the number be n

The statement

the difference of a number and eight is written as

n - 8

It's multiplied by 6

That's

6( n - 8)

The result is 12

So we have the final answer as

Hope this helps you

Answer:

56 degrees

Step-by-step explanation:

Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).

You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)

The coordinates of point A when it is rotated about 180 degrees will be (7,-4).

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that:-

As it is turned 180 degrees from its initial position ( -7,4) just opposite side of the origin so the new coordinates of the point will be (4,-7).

Therefore the coordinates of point A when it is rotated about 180 degrees will be (7,-4).

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FE = 15 units as per the Pythagoras theorem.

∠D = 65°

A right-angled triangle is another situation in which the right angle is applied.

A triangle is referred to as a right-angled triangle if one of its three angles is 90 degrees.

A right-angled triangle's three interior angles all add up to 180 degrees, thus if one angle is always 90 degrees, the other two must also always add up to 90 degrees.

Now in the triangle given,

DF = 8, DE = 17

Using Pythagoras theorem, we can get FE.

FE² = DE² - DF²

FE ² = 289 - 64

FE² = 225

FE = 15

Now using the principles of angles in a right angle triangle:

∠D + ∠F + ∠E = 180°

∠D = 180 - 90 - 25

∠D = 65°

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Answer:

x≥2 and x<2 : ∅

x≥2 or x<2 : All real numbers

x≤2 and x≥2 : 2

Step-by-step explanation:

the first one must follow both conditions, so no number would work.

the second one works with any number, so all real numbers.

the third one has only one condition that works, 2

Answer:

X=18

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

36/2 = 8

2x/2 = x

Answer:

The probability plot of this distribution shows that it is approximately normally distributed..

Check explanation for the reasons.

Step-by-step explanation:

The complete question is attached to this solution provided.

From the cumulative probability plot for this question, we can see that the plot is almost linear with no points outside the band (the fat pencil test).

The cumulative probability plot for a normal distribution isn't normally linear. It's usually fairly S shaped. But, when the probability plot satisfies the fat pencil test, we can conclude that the distribution is approximately linear. This is the first proof that this distribution is approximately normal.

Also, the p-value for the plot was obtained to be 0.541.

For this question, we are trying to check the notmality of the distribution, hence, the null hypothesis would be that the distribution is normal and the alternative hypothesis would be that the distribution isn't normal.

The interpretation of p-valies is that

When the p-value is greater than the significance level, we fail to reject the null hypothesis (normal hypothesis) and but if the p-value is less than the significance level, we reject the null hypothesis (normal hypothesis).

For this distribution,

p-value = 0.541

Significance level = 0.05 (Evident from the plot)

Hence,

p-value > significance level

So, we fail to reject the null or normality hypothesis. Hence, we can conclude that this distribution is approximately normal.

Hope this Helps!!!

Answer:

d² - 24d + c = (d - 12)² - 144 + c

(c) range, (d) variance, (e) standard deviation and (f) interquartile range measure variability.

Range, The range is the difference between the largest and smallest values in a dataset, indicating how spread out the data are.

Variance, The variance measures how far a set of numbers is spread out from their average. It provides a measure of how much the individual data points deviate from the mean.

Standard deviation, The standard deviation is the square root of the variance and is also a measure of how much the individual data points deviate from the mean. It is a widely used measure of variability, particularly in statistical analysis.

Interquartile range, The interquartile range (IQR) is the difference between the third and first quartiles of a dataset. It gives an idea of the spread of the middle 50% of the data and can help identify outliers.

The mean and median are measures of central tendency and do not directly measure variability.

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The width of the path is given as 2

width of path = x meters

length of field + path= 16 + x + x = 16 + 2x

breadth of field + path = 10 + x + x = 10 + 2x

area of path - area without path = area

(16 + 2x) (10 + 2x) - 16 * 10 = 120

Open the bracket

160 + 32x + 20x + 4x² - 160 = 120

4x² + 52x - 120 = 0

we have to solve for x values using the quadratic equation formula

the output is in the attachment

we have x = 2 and x = -15

since x cannot be negative, the width of the path is 2

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Answer:

31 and 174

Step-by-step explanation:

Dum white animal ew stop

Answer:eu naõ so grigo não xara

Step-by-step explanation:

The ordered pairs (a, m) that satisfy all the constraints are:

(3, 4)

(4, 4)

(5, 4)

These are the possible combinations of magazine and radio ads that the dog food manufacturer can use to advertise its products within the given budget and constraints.

Here, we have to break down the problem step by step to find the possible combinations of magazine and radio ads that meet the given criteria:

Cost Constraints:

Magazine ad cost: $60 per ad

Radio ad cost: $150 per commercial minute

Total advertising budget: $900

The cost constraint can be represented by the inequality:

60a + 150m ≤ 900

Quantity Constraints:

Magazine ads reach 12,000 people each

Radio ads reach 16,000 people each

The quantity constraint can be represented by the inequality:

12,000a + 16,000m ≤ Total target audience

Minimum Purchase Requirements:

The magazine requires the purchase of at least three ads (a ≥ 3)

The radio station requires the purchase of at least four minutes (m ≥ 4)

Now, let's calculate the target audience reached by each advertising medium:

Target audience reached by magazine ads = 12,000a

Target audience reached by radio ads = 16,000m

To maximize the reach, we want to find the highest possible values of a and m that meet all the constraints.

Let's start by finding the possible values of a and m (integers) that satisfy the minimum purchase requirements:

a = 3, 4, 5, ...

m = 4, 5, 6, ...

Now, we'll check each combination to see if it meets the cost constraint and find the total target audience for each combination. We'll also list the ordered pairs (a, m) that satisfy the constraints:

a = 3, m = 4

Cost: 60(3) + 150(4) = 780 (within the budget)

Total target audience: 12,000(3) + 16,000(4) = 92,000

Ordered pair: (3, 4)

a = 3, m = 5

Cost: 60(3) + 150(5) = 930 (exceeds the budget)

Total target audience: 12,000(3) + 16,000(5) = 116,000

a = 4, m = 4

Cost: 60(4) + 150(4) = 840 (within the budget)

Total target audience: 12,000(4) + 16,000(4) = 112,000

Ordered pair: (4, 4)

a = 4, m = 5

Cost: 60(4) + 150(5) = 990 (exceeds the budget)

Total target audience: 12,000(4) + 16,000(5) = 128,000

a = 5, m = 4

Cost: 60(5) + 150(4) = 900 (within the budget)

Total target audience: 12,000(5) + 16,000(4) = 124,000

Ordered pair: (5, 4)

a = 5, m = 5

Cost: 60(5) + 150(5) = 1050 (exceeds the budget)

Total target audience: 12,000(5) + 16,000(5) = 140,000

Based on the calculations, the ordered pairs (a, m) that satisfy all the constraints are:

(3, 4)

(4, 4)

(5, 4)

These are the possible combinations of magazine and radio ads that the dog food manufacturer can use to advertise its products within the given budget and constraints.

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Answer:

The answer is D.

Step-by-step explanation:

Key:

1 dime = $0.10

1 nickel = $0.05

Solve:

A. 70+10=80

B. 60+10=70

C. 50+15=65

D. 60+15=75, so D is correct.

Answer:

72 oz (4.5 pounds)

Step-by-step explanation:

Convert pounds(lbs)  to ounces(oz). 3lbs= 48 oz then add 24 oz which equals 72 oz. 72 oz is 4.5 pounds.