determine each length in right triangle . right triangle abc with right angle at vertex b. point d lies on side ac. dashed segment bd is drawn. angles

Answer:

The slope of the line is ⁸/₅, or 1.6

Step-by-step explanation:

Slope is equal to Δy/Δx, so we have:

(1 - (-3)) / (5 / 2)

= 4 / 2.5

= 8 / 5, or 1.6

Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.

Answer:

1.6 pounds in each bag

Step-by-step explanation:

Divide the pounds by the number of bags

(10 pounds) / (6 bags) =  10/6 pounds/bag = 1.6 pounds/bag

Answer:

Kerri

calculate z scores z= (x - xbar)/stdev

Kerri = 1.7

Cade = .7

Vincent = 1

Step-by-step explanation:

A certain​ animal's body temperature has a mean of 94.72° F and a standard deviation of 0.57°F. Convert the given temperatures to z scores.

a. 93.52 °F  b. 95.22 °F      c. 94.72 °F

Answer:

a. z = - 2.1053

b. z = 0.87719

c. z = 0

Step-by-step explanation:

Given that :

The population mean μ = 94.72

The standard deviation σ = 0.57

the formula for calculating the standard normal z score, which can be represented as:

\(z= \dfrac{\overline x - \mu}{\sigma}\)

For  a.

The sample mean \(\bar x\) = 93.52

The z score can be computed as follows:

\(z= \dfrac{\overline x - \mu}{\sigma}\)

\(z= \dfrac{93.52 - 94.72}{0.57}\)

\(z= \dfrac{-1.2}{0.57}\)

z = - 2.1053

For  b.

The sample mean \(\bar x\)  =  95.22    

\(z= \dfrac{\overline x - \mu}{\sigma}\)

\(z= \dfrac{95.22 - 94.72}{0.57}\)

\(z= \dfrac{0.5}{0.57}\)

z = 0.87719

For  c.

The sample mean \(\bar x\)  = 94.72

\(z= \dfrac{\overline x - \mu}{\sigma}\)

\(z= \dfrac{94.72 - 94.72}{0.57}\)

\(z= \dfrac{0}{0.57}\)

z = 0

Every three candy bars cost a dollar.

Divide 25 by three.  

$8.33

Answer:

28 and 32

Step-by-step explanation:

they have the most

The genotype ratio is:  1   TT : 1   Tt : 0  tt

The phenotype ratio is :  4   Tall :   0   Short

100 percent of the offspring will be tall.

Genotypic ratio is the ratio between the genetic makeup among the offspring population.

On the other hand, the ratio between the offspring population for an observable characteristic is the phenotype ratio.

The given test cross is between a homozygous tall parent and a heterozygous tall parent.

Using a Punnett square,

The result will be as shown below.

                     T                   t

          T        TT                 Tt

           T       TT                 Tt

Genotype :  1   TT : 1   Tt : 0  tt

Phenotype :  4   Tall :   0   Short

100 percent of the offspring will be tall.

Learn more on Genotypic and Phenotypic ratio here: https://brainly.com/question/22108809

#SPJ1

Answer:

4

Step-by-step explanation:

1\(\frac{1}{2} / \frac{1}{8} = \frac{1}{2} * \frac{8}{1} = \frac{8}{2} = 4\)

she forget that fraction will reverse if it move below or up side, I think

\(2(3x-1) \geq 4x-6\\\\\implies 6x -2 \geq 4x -6\\\\\implies 6x \geq 4x -6+2\\\\\implies 6x \geq 4x-4\\\\\implies 6x -4x \geq -4\\\\\implies 2x \geq -4\\\\\implies x \geq -\dfrac42\\\\\implies x \geq -2 \\\\\text{Interval,} ~ [-2, \infty)\)

the correct options are A), B), and E).

why it is and what is Gallon?

A) 2 quarts = 8 cups

B) 8 cm = 80mm

E) 96 inches = 8 feet

The number 8 cannot correctly fill in the blank for statements C and D.

C) 1 gallon = 16 cups, so 4 gallons = 64 cups, not 8 cups.

D) 1 hour = 60 minutes, so 96 minutes = 1 hour and 36 minutes, not 8 hours.

Therefore, the correct answers are A), B), and E).

A gallon is a unit of measurement for volume commonly used in the United States and some other countries. There are two different sizes of gallons: the US gallon and the imperial gallon.

The US gallon is defined as exactly 3.785411784 liters, and is used for measuring liquids such as gasoline, milk, and other beverages.

The imperial gallon, which is used in the United Kingdom and some other countries, is defined as exactly 4.54609 liters.

In both cases, a gallon is typically divided into smaller units such as quarts, pints, and fluid ounces for measuring smaller amounts of liquid.

To know more about Filling related questions, visit:

https://brainly.com/question/29555029

#SPJ1

Answer:

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

The randomly sampled 400 dogs from homes where an herbicide was used on a regular basis, diagnosing lymphoma in 230 of them.

This means that:

\(p_h = \frac{230}{400} = 0.575, s_h = \sqrt{\frac{0.575*0.425}{400}} = 0.0247\)

Of 200 dogs randomly sampled from homes where no herbicides were used, only 25 were found to have lymphoma.

This means that:

\(p_n = \frac{25}{200} = 0.125, s_n = \sqrt{\frac{0.125*0.875}{200}} = 0.0234\)

Distribution of the difference:

\(p = p_h - p_n = 0.575 - 0.125 = 0.45\)

\(s = \sqrt{s_h^2+s_n^2} = \sqrt{0.0247^2 + 0.0234^2} = 0.034\)

Confidence interval:

The confidence interval is:

\(p \pm zs\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

The lower bound is \(0.45 - 1.96(0.034) = 0.3834\)

The upper bound is \(0.45 + 1.96(0.034) = 0.5166\)

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

Answer:

the answer is 4

Step-by-step explanation:

The expressions that are completely factored are:

The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.

For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.

Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).

learn more about factorization: https://brainly.com/question/10718512

#SPJ1

Answer:

16a^5−20a^3=4a^3(4a^2−5)

and

24a^4+18=6(4a^4+3)

Step-by-step explanation:

Answer:

the first term is 4

Step-by-step explanation:

Given

G(3) = 36

G(6) = 972

Solution:

General formula for geometric series

G(x) = AB^x

From given data: G(6)/G(3) = 972/36 = 27

From formula: G(6)/G(3) = AB^6/(AB^3) = B^3

Therefore

B^3 = 27

B=3

Hence

G(1) = AB^1 = AB^3/B^2=36/3^2=36/9=4

Ans: the first term is 4

Answer:

a₁ = 4

Step-by-step explanation:

The n th term of a geometric series is

\(a_{n}\) = a₁ \(r^{n-1}\)

where a₁ is the first term and r the common ratio

Given a₃ = 36 and a₆ = 972 , then

ar² = 36 → (1)

a\(r^{5}\) = 972 → (2)

Divide (2) by (1)

\(\frac{ar^{5} }{ar^{2} }\) = \(\frac{972}{36}\) , that is

r³ = 27 ( take the cube root of both sides )

r = \(\sqrt[3]{27}\) = 3

Substitute r = 3 into (1)

9a = 36 ( divide both sides by 9 )

a = 4

The first term is 4

Answer:

$729.93

Step-by-step explanation:

686.99 x .0625 = 42.94

42.94 is the tax which must be added to the tv list price to get the total:

686.99 + 42.94 = 729.93

You have the following system of equations:

x = 2y - 3

2x - 3y = -5

in order to solve the previous system by elimination, first write the first equation as follow:

x = 2y - 3

x - 2y = -3

next, multiply the previous equation by 2, and subtract the equation to the second one of the system, just as follow:

2(x - 2y = -3)

2x - 4y = -6

2x - 3y = -5

- 2x + 4y = 6

y = 1

next, replace the previous value of y into the expression x = 2y - 3:

x = 2y - 3

x = 2(1) - 3

x = -1

Hence, the solution to the given system of equations is:

x = -1

y = 1

Answer:

Rewrite = so  is on the left side.

Answer:

We can break this down:

The student has a one out of five chance of getting a correct answer, and a four out of five chance of an incorrect answer. We can express the students odds of getting one incorrect answer as 4/5. In order to get the odds of two wrong answers, we need to multiply this answer again by the odds of choosing a wrong answer. Therefore:

The odds of one wrong answer = 4/5

The odds of two wrong answers = (4/5) * (4/5) = 16/25 chance of getting both of the questions wrong.

Step-by-step explanation:

Answer:

daymn

it's gonna be okay

The probability that a person will purchase no more than one costume is given as follows:

93%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of outcomes for this problem is given as follows:

187 + 228 + 29 = 444.

Only 29 people purchased more than one costume, hence the probability of at most one costume is calculated as follows:

(444 - 29)/444 = 0.93 = 93%.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Hello

To solve this question, we simply need to use the formula of findind the pH of a solution.

From the calculation above, the pH of the solution is 0.9 and this indicates that it is a strong acidic solution.

The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

For more such question on index. visit :

https://brainly.com/question/15361818

#SPJ8

Laiba’s cat catches mice at the rate of 3per day which is the same rate as Irsa’s cat.

Rate is defined as the measurement of a quantity against another to show the difference that exists between the two.

The number of mice caught of Irsa’s cat in 3 days = 9

Therefore in a day = X mice

Make X mice the subject of formula;

X mice = 9/3 = 3

Therefore, Irsa’s cat catches mice at the rate of 3 move per day.

The number of mice caught of Laiba’s cat in 7 days = 21

Therefore in a day = Y mice

Make y mice the subject of formula;

y mice = 21/7 = 3

Therefore, Laiba’s cat catches mice at the rate of 3per day which is the same rate as Irsa’s cat.

Learn more about rate here:

https://brainly.com/question/25793394

#SPJ1

Answer:

Recursive formula is: \(a_1=-1 ; \ \ a_n=a_{n-1}+7\)

Explicit formula is: \(a_n=7n-8\)

Step-by-step explanation:

We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27

In the given sequence First term a₁= -1

Common difference d = 7

Finding Recursive Formula

The recursive formula is of type:\(a_1= First \ term\) and \(a_n=a_{n-1}+d\)

Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula  for given arithmetic sequence will be:

\(a_1=-1 ; \ \ a_n=a_{n-1}+7\)

Finding Explicit Formula

The explicit formula is of type: \(a_n=a_1+(n-1)d\)

We have

First term a₁= -1

Common difference d = 7

So, explicit formula will be:

\(a_n=-1+(n-1)7\\a_n=-1+7n-7\\a_n=7n-8\)

So, explicit formula is: \(a_n=7n-8\)

Answer:

1) graph b

2)appears to decrease more

Step-by-step explanation:

Answer:

I believe it is 1/ 4^3

Step-by-step explanation:

When dealing with negative exponents you convert the number into a fraction. When so, the number 4 in the denominator then has the positive exponent of 3

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

196 ft^2

Step-by-step explanation:

4(w) = L

2w + 2L = 70

2w + 2(4w) = 70

10w = 70

w = 7

4(7) = 28

Area = 28*7

Area = 196

Answer:

The area of the rectangle is 196 ft^2.

Step-by-step explanation:

Looking for: Area

The length of a rectangle is four times its width can be translated into

l = 4w

Perimeter = 2w + 2l

2w + 2(4w) = 70

2w + 8w = 70

10w = 70

w = 7

l = 4w

l= 4(7)

l=28

Area = l times w

28 times 7 = 196

The area of the rectangle is 196 ft^2.