Jacob and Quinn are reading a book together. Jacob has read 5 more than 2 times the number of pages that Quinn has. Together they have read 107 pages. How many pages have they both read?

The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

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\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log_2(x)=-5\implies 2^{-5}=x\)

Answer:

y=mx+b

Step-by-step explanation:

Answer:

I got the answer 13

Step-by-step explanation:

To be short, I use the tangent ratio

Answer:

i got 13 but i would try to work it out yourself just incase

Step-by-step explanation:

The statement that describes when the plans are based on the same number of aerobic exercise sessions is:

The number of strength-training exercises and aerobic exercises per week is calculated as follows:

Let a be the number of strength-training exercises and b be the number of aerobic exercises per week respectively.

For the beginner plan:

15a + 20b = 90  eqn. (1)

For the advanced plan:

20a + 30b = 130 eqn. (2)

Solving the simultaneous equation by elimination method:

Multiply eqn. (1) by 3 and eqn. (2) by 2

45a + 60b = 270 eqn. (3)

40a + 60b = 260 eqn. (4)

Subtract eqn. (4) from eqn. (3)

5a = 10

a = 2

Substitute a = 2 in eqn (2)

b = 3

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Complete question:

A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week.

Which statement describes when the plans are based on the same number of aerobic exercise sessions?

Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.

Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.

Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.

Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.

Answer:

Rule: Multiplying ×5 in turn

50 { third term}

1,250 {fifth term}

Step-by-step explanation:

2 × 5 = 10 {second term}

10 × 5 = 50 { third term}

50 × 5 = 250 { fourth term}

250 × 5 = 1,250 {fifth term}

Both angles are alternate exterior angles.

Since both parallel lines are crossed by a transversal, alternate exterior angles are equal:

7x-5=6x+10

Answer:

A

Step-by-step explanation:

The value of  tan(45°+Θ) after using trigonometric ratio is  

1+tanΘ/ 1-tanΘ.

What is trigonometric ratios?

   There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.

Here the given,

=> tan(45°+Θ)

Now using formula ,

=> tan(a+b) = \(\frac{tan a+tan b}{1-tan a*tanb}\)

=> tan(45°+Θ)= (tan 45°+tanΘ)/(1-tan45°*tanΘ)

We know that tan 45°=1 then ,

=> tan (45°+Θ)= 1+tanΘ/ 1-tanΘ

Hence the formula for  tan (45°+Θ) is  1+tanΘ/ 1-tanΘ.

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Answer:

20 ° i think

Step-by-step explanation:

Answer:

20

because they are identical triangles therefore they have the same interior angles.

Number of hours Marissa worked at pizza place is 26 hours.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.

Now, it is given that,

Marissa's earning per hour = $9

Money received from selling of shoes = $80

Total money left this week = $314

Hence, Total earning = Total money left this week - Money received from selling of shoes

Total earning =  $314 - $80

⇒Total earning = $234

Therefore,

Hours of work = Total earning/earning per hour

⇒Hours of work = $234/$9 hours

⇒Hours of work = 26 hours

Hence,Number of hours Marissa worked at pizza place is 26 hours.

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Answer:

Answer is 1 minute

Step-by-step explanation:

The y-axis shows how many blocks and the the x-axis shows the time. So if he traveled 6 blocks, based on the graph, it took him 1 minute

Answer:

Raul

Step-by-step explanation:

Since 8 groups of building blocks has a smaller amount than 6 equal groups of building blocks, so Raul has more blocks in each group

Answer:

200

Step-by-step explanation:

527 x 0.38 = 200 rounded

Answer:

200

Step-by-step explanation:

527x38%=200.26

The percentage of of the shaded region is 74.8%

A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry. The enclosed body of a circle is called the circumference.

The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in squared units.

The area of a circle is expressed as :

πr²

The area of the shaded part = area of big circle - area of small circle

= 3.14(8.01²-4.02²)

= 3.14(64.16-16.16)

= 3.14( 48)

= 150.72in²

area of the big circle = 3.14 × 64.16 = 201.46

therefore the percentage of the shaded region of the point = 150.72/201.46 × 100

= 74.8% ( nearest tenth)

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Answer:

c. 80 cm

Step-by-step explanation:

Area of a parallelogram = base × height

A = 16 cm × 5 cm

A = 80 cm

Answer:

Step-by-step explanation:

\(Base =16\\Height =5\\Area = Base\times Height\\= 16 \times 5\\= 80cm\)

Answer:

1^3 cubic feet

Step-by-step explanation:

The margin of error for the confidence interval is approximately 0.014, indicating that the estimate of the proportion of dissatisfied customers could be off by approximately plus or minus 0.014. This means that we can be 95% confident that the true proportion of dissatisfied customers falls within the range of the estimated proportion ± 0.014.

(a) To find the sample size needed to achieve a margin of error of about 0.015 with a 95% confidence level, we can use the formula for sample size calculation for proportions:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = critical value (corresponding to the desired confidence level)

p = estimated proportion of the population

E = margin of error

In this case, the estimated proportion of dissatisfied customers is 0.17, and the desired margin of error is 0.015. Since we want a 95% confidence level, the critical value can be obtained from a standard normal distribution table. The critical value for a 95% confidence level is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.17 * (1-0.17)) / 0.015^2

n ≈ 1901.63

Therefore, the sample size needed is approximately 1902.

(b) If 25% of the sample say they are not satisfied, we can calculate the margin of error using the following formula:

MoE = Z * sqrt((p * (1-p)) / n)

Where:

MoE = margin of error

Z = critical value (corresponding to the desired confidence level)

p = proportion of the sample

n = sample size

Using the same critical value of 1.96 for a 95% confidence level and plugging in the values:

MoE = 1.96 * sqrt((0.25 * (1-0.25)) / 1902)

MoE ≈ 0.014

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Answer: 7

Step-by-step explanation:

7

Answer: I dont see anything....

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Cube root of .125 which is 1/8 is 1/2

Answer:

1.5 I think?

Step-by-step explanation:

it was counting by 6 but then skipped to 26 so I assume it is 1.5

If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:

\(\boxed{8-2=6}\\\boxed{6/2=3}\)

We are going to take that 25% and multiply it with 3 to get are final answer.

\(\boxed{25*3=75}\\\boxed{So,2=75}\)

Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

Answer:

x = -b/a

Step-by-step explanation:

ax+b = 0

Subtract b from each side

ax+b-b=0-b

ax = -b

Divide each side by a

ax/a = -b/a

x = -b/a

Answer:

-1

Step-by-step explanation:

7-8=-1

Two lines that form a right angle at their point of intersection are perpendicular to each other.

The negative reciprocal is equal to the slope of the perpendicular lines. A transversal line is a line that is perpendicular to two parallel lines. Equal pairs of alternate angles and matching angles are created in the case of the transversal line.

When two lines intersect at a right angle, they are perpendicular to each other. The junction is referred to as the point of perpendicularity. The perpendicular lines form a 90-degree angle, and they can be used to create a coordinate system or used in geometric constructions. Such lines are called perpendicular lines.

Correct Question :

Two lines that form a right angle at their point of intersection are called what?

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Answer:

Danny

Step-by-step explanation:

danny has a better offer

Answer:

55/6 is the answer.

simply divide it.

Ur welcome

Answer:

Step-by-step explanation:

Answer:

10x +8y ≥ 160

Step-by-step explanation:

It is not possible to find two numbers with two decimal places that round to 312 when rounded to one decimal place and have a total of 62.4.

To solve this problem systematically, we can break it down into smaller steps:

Let's assume the two numbers are x and y, both with two decimal places.

We can represent them as x = a.b and y = c.d, where a, b, c, and d are digits.

Rounding x and y to one decimal place gives us the following equations:

Round(x) = a.b ≈ 312

Round(y) = c.d ≈ 312

Since the total of the numbers is 62.4, we have the equation:

x + y = a.b + c.d

= 62.4

From Step 2, we know that both a.b and c.d are approximately equal to 312.

So, we can write:

a.b ≈ 312

c.d ≈ 312

Since a.b and c.d are rounded to one decimal place, we can rewrite them as:

a.b = 312 + p

c.d = 312 + q

p and q are the decimal parts that were rounded.

Substituting the new representations of a.b and c.d into the equation from Step 3, we get:

(312 + p) + (312 + q) = 62.4

Simplifying the equation gives us:

624 + (p + q) = 62.4

Solving for (p + q), we have:

p + q = 62.4 - 624

= -561.6

Since p and q are decimal parts, they must be between 0 and 1. -561.6 is outside this range, which means there are no values for p and q that satisfy the given conditions.

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Answer:

x=−3 and y=5

Step-by-step explanation: