Find the length of side A on a triangle where side B is 4 and side C (the hypotenuse) is 5.

A) 4
B) 5
C) 3
D) 2

Answer:

If b is 3, x=-1

Step-by-step explanation:

-2(3x-5)=16

use distributive property

-6x+10=16

take 10 away from both sides

-6x=6

divide both sides by -6

x=-1

The value of x in terms of b is given by equation x = -3/b

The value of x when b = 3 , is x = -1

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The given equation is:

-2(bx - 5) = 16

To solve for x in terms of b, we need to isolate x on one side of the equation. We can start by distributing the -2 on the left-hand side:

-2bx + 10 = 16

Next, we can subtract 10 from both sides:

-2bx = 6

Finally, we can divide both sides by -2b to solve for x:

x = -3/b

So the value of x in terms of b is -3/b.

To find the value of x when b is 3, we can substitute b = 3 into the equation we just found:

x = -3/b = -3/3 = -1

Hence , the equation is solved and when b is 3, the value of x is -1.

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Answer:

x^2 + (y-8)^2 = 16

Step-by-step explanation:

1. Start with the formula for a circle:

(x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius

2. Plug in values for the center coordinates and the radius:

(x-0)^2 + (y-8)^2 = 4^2

3. Simplify:

x^2 + (y-8)^2 = 16

Answer:

D. 1,350

Step-by-step explanation:

150x3= 450

450+900=1,350

Given:

Quadrilateral PQRS is a rhombus.

To find:

The value of y.

Solution:

In the rhombus PQRS,

PS = 10y and SR = y + 45

Property of rhombus:

All sides are congruent.

⇒ PS = SR

⇒ 10y = y + 45

Subtract y from both sides.

⇒ 10y - y = y + 45 - y

⇒ 9y = 45

Divide by 9 on both sides.

[tex]$\Rightarrow \frac{9y}{9} =\frac{45}{9}[/tex]

⇒ y = 5

The value of y is 5.

Alex would have saved $1,000.02 over 3 months. The cost of purchases would have been less if he used his savings instead of a credit card because of no interest rates applied. Barry's loan is $120 less expensive than Alex's loan

If Alex had saved $333.34 a month for 3 months, he would have saved $333.34 x 3 = $1,000.02. As for the cost of purchases using savings instead of a credit card, we can't directly answer that without knowing the associated credit card interest rate & the time duration. In general, using a credit card would have cost more due to the interest applied to the unpaid balance.

For the second part of your question related to loans, let's assume both Alex and Barry took out loans of $1,000 each for one year. Alex's loan, with an interest rate of 21%, would cost him $1000 x 21/100 = $210 in interest. Barry's loan, at an interest rate of 9%, would cost him $1000 x 9/100 = $90 in interest. Therefore, Barry's loan costs $210 - $90 = $120 less than Alex's loan.

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Alex would have saved $1,000.02 over 3 months. The cost of purchases would have been less if he used his savings instead of a credit card because of no interest rates applied. Barry's loan is $120 less expensive than Alex's loan

If Alex had saved $333.34 a month for 3 months, he would have saved $333.34 x 3 = $1,000.02. As for the cost of purchases using savings instead of a credit card, we can't directly answer that without knowing the associated credit card interest rate & the time duration. In general, using a credit card would have cost more due to the interest applied to the unpaid balance.

For the second part of your question related to loans, let's assume both Alex and Barry took out loans of $1,000 each for one year. Alex's loan, with an interest rate of 21%, would cost him $1000 x 21/100 = $210 in interest. Barry's loan, at an interest rate of 9%, would cost him $1000 x 9/100 = $90 in interest. Therefore, Barry's loan costs $210 - $90 = $120 less than Alex's loan.

Answer:

Step-by-step explanation: 1/8 = .125

 move two decimals to right = 12.5

The decimal expansion of 1/8 is 0.125, which is also the probability of drawing a clear marble from a jar of eight marbles, if only one of those marbles is clear.

The question asks for the decimal expansion of 1/8. To determine the decimal expansion of the fraction, you simply divide the numerator (the top number, which in this case is 1) by the denominator (the bottom number, which in this case is 8). When performed, 1 divided by 8 results in the decimal 0.125. This concept is similar to calculating probabilities in which the total number of outcomes is divided by the desired outcome. For example, in the case of the marbles in a jar, if one is clear and there are eight total, the probability of drawing a clear marble is also 1/8 or 0.125.

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The correct answer is the fourth option.

Given is a scatter graph with points marked on the graph. The x axis shows the dependent variable and y axis the independent variable

From the graph we see that there seems to be a linear relationship but not fully perfect.  Because so many points deviate from the line we can only say that there is a moderate association.

Whenever x increases y increases also the linear regression line of fit has a positive scope.

Hence there is a positive association between variable x and variable Y.

Answer:

B, D, E

Step-by-step explanation:

I am assuming that the equation is y = [tex]\frac{1}{3}[/tex] * x and not y = [tex]\frac{1}{3x}[/tex].

Using y = (1/3)x, we can transpose the x, so that now we have y/x = 1/3.

Take note that the given options are in the format of (x, y). You can simply plug all the values, and whichever gave you a result of 1/3 is your answer.

B.) 2/6 = 1/3

D.) 5/15 = 1/3

E.) -1/-3 = 1/3

The ordered pairs that satisfy the equation y = 1/3x are B (6,2), D (15,5), and E (-3,-1). Ordered pairs are verified by substituting the x-value into the equation to see if the resulting y-value matches the pair.

To determine which ordered pairs satisfy the given linear equation y = 1/3x, we need to substitute the x-value of each ordered pair into the equation to see if the corresponding y-value is correct.

So the ordered pairs that satisfy the equation y = 1/3x are B (6,2), D (15,5), and E (-3,-1).

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Answer:16x+1 = y

Step-by-step explanation:

2x squared is basically 2x times 2x which is 4x. So now that you eliminated that you have 4x+12x+1 = y . Now you have to group like terms. 4x+12x= 16x. So now you have 16+1 = y.

Answer:

70%

Step-by-step explanation:

To solve this problem, you simply divide 7 by 10.

7 ÷ 10 = .7

.7 is the decimal form of 70%. This means that you have a 70% chance of winning this round.

Answer:

False

Step-by-step explanation:

The downpayment is the first payment you make, an initial deposit.

Answer:

i is the variable

Step-by-step explanation:

variable is non number

Answer:

18 degrees.

Step-by-step explanation:

115-97=18

The calculated measure of the angle MRN is 18 degrees

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

Triangle = MNR

Angle N = 97 degrees

From the attached figure

Segment NM is an extension from the exterior angle of M

By the sum of opposite interior angles of triangle, we have

MRN + ∠N = 115 degrees

This means that

MRN + 97 = 115 degrees

Subtract 97 from both sides

MRN = 18 degrees

Hence, the measure of the angle MRN is 18 degrees

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Answer:

x = 24

Step-by-step explanation:

Since SR = ST then Δ RST is isosceles, thus the base angles are congruent.

∠ SRT = ∠ STR = 4x - 60

∠ STR and ∠ STU are adjacent and supplementary, thus

∠ STR + ∠ STU = 180, substitute values

4x - 60 + 6x = 180, that is

10x - 60 = 180 ( add 60 to both sides )

10x = 240 ( divide both sides by 10 )

x = 24

Final answer:

To find the 95% confidence interval for the average cooking time of a 10 pound turkey given a sample mean of 2.9 hours and a standard deviation of 0.24 hours for 19 turkeys, we calculate using the formula and a t-score of 2.101, resulting in an interval between approximately 2.784 hours to 3.016 hours.

Explanation:

To calculate a 95% confidence interval for the average cooking time of a 10 pound turkey, given the sample mean (μm) is 2.9 hours and the sample standard deviation (s) is .24 hours for a sample size (n) of 19 turkeys, we use the formula for the confidence interval for a mean with unknown population standard deviation (since the population standard deviation is not provided).

The formula for the confidence interval is:

CI = μm ± (t* × (s / √n))

Where t* is the t-score from the t-distribution table corresponding to the desired confidence level (95% in this case) and n - 1 degrees of freedom (19 - 1 = 18).

For 95% confidence with 18 degrees of freedom, the t-score (t*) approximately equals 2.101.

So the confidence interval is calculated as:

CI = 2.9 ± (2.101 × (0.24 / √19))

CI = 2.9 ± (2.101 × 0.055)

CI = 2.9 ± 0.116

Thus, the 95% confidence interval for the average cooking time of a 10 pound turkey is approximately 2.784 hours to 3.016 hours.

The 95% confidence interval for the average cooking time of a 10-pound turkey is 2.792 hours, 3.008 hours

The 95% confidence interval for the average cooking time of a 10-pound turkey is given by: [tex]\[ \bar{x} \pm Z_{\frac{\alpha}{2}} \times \frac{\sigma}{\sqrt{n}} \][/tex]

where:[tex]- \( \bar{x} \)[/tex] is the sample mean,

[tex]- \( Z_{\frac{\alpha}{2}} \)[/tex] is the Z-value corresponding to the desired confidence level,

[tex]- \( \sigma \)[/tex] is the population standard deviation,

[tex]- \( n \)[/tex] is the sample size.

Given:

[tex]- \( \bar{x} = 2.9 \)[/tex] hours,

[tex]- \( \sigma = 0.24 \)[/tex] hours,

[tex]- \( n = 19 \)[/tex],

- Confidence level = 95%.

First, we need to find the Z-value that corresponds to a 95% confidence level. For a 95% confidence interval, the alpha value is 0.05, and since the confidence interval is two-tailed, we divide this by 2 to get [tex]\( \frac{\alpha}{2} = 0.025 \)[/tex]. Looking up the Z-value for a two-tailed test with [tex]\( \alpha = 0.025 \)[/tex] in the standard normal distribution table (or using a Z-table calculator), we find that [tex]\( Z_{\frac{\alpha}{2}} = 1.96 \)[/tex].

Now we can calculate the margin of error (ME):

[tex]\[ ME = Z_{\frac{\alpha}{2}} \times \frac{\sigma}{\sqrt{n}} = 1.96 \times \frac{0.24}{\sqrt{19}} \] \[ ME = 1.96 \times \frac{0.24}{\sqrt{19}} \approx 1.96 \times \frac{0.24}{4.359} \approx 1.96 \times 0.055 \approx 0.108 \][/tex]

Finally, we calculate the confidence interval:

[tex]\[ \text{Lower limit} = \bar{x} - ME = 2.9 - 0.108 \approx 2.792 \] \[ \text{Upper limit} = \bar{x} + ME = 2.9 + 0.108 \approx 3.008 \][/tex]

In LaTeX format, the confidence interval is: [tex]\[ \boxed{(2.792, 3.008)} \][/tex]

Answer:

w= 3.4

Step-by-step explanation:

.6+w=4

in order to solve for w you have to subtract.6 from both sides leaving w to equal 3.4

W=3.4

Answer:

There are 6 classes we find the median by finding the middle number of the 3rd highest class and 4th highest class, even if this is a decimal.

6/3 = 3+ 0.5

The process would be different if some values are the same values already on the chart total of each class.

ie) 20  31  14  22 20 31

small data like this below you can rearrange

14  20  20  22  31 31  

and see that 21 is the correct value

as there are even numbers, so we choose 20 , 22

and select the middle value = 21

Step-by-step explanation:

If there is an even number of numbers locate the two middle numbers so that there is an equal number of values to the left and to the right of these two numbers. Step 3: If there is an odd number of numbers, this middle number is the median. If there is an even number of numbers add the two middles and divide by 2.

Answer:

The answer is in the photo ˚∆˚

Step-by-step explanation:

blood type A is independent

Answer:

0

Step-by-step explanation:

You can't construct any triangles with those angles. Because when you add all the angles of a triangle, it has to add up to 180. But when we add 50,70, and 100, it equals 220. So you can't construct any triangles.

Hope this helps. (If it does, please mark me brainliest)

Answer:

Step-by-step explanation:

Given p(2) = 14 and p(-3) = 0, according to factor theorem, if a polynomial p(x) is divided by a function x+c where c is a constant, then x+c is said to be a factor of p(x) if p(-c) = 0 i.e if the remainder is zero after the division.

According to the question, it can be seen that p(-3) = 0. This means that the function x+3 is said to be factor if the remainder of the polynomial is zero when divided the polynomial because the reminder leaves zero after division where c = 3

Answer:

[tex]\frac{72}{96} =\frac{36}{48}=\frac{18}{24} =\frac{9}{12} =\frac{3}{4}[/tex]

Step-by-step explanation:

All are correct, but only the first is unmodified, and probably the one you want to use.

72 is out of the number, so it is on top.

The number is out of 96, so it is on the bottom.

Answer:

43 minutes.

I do not know if this question is a joke, but I hope this helps

Answer:4189.33cm^3

Step-by-step explanation:

To find the volume of a sphere of diameter 20cm

Volume of a sphere=4/3πr^3

R=20/2

R=10cm

V=4/3×3.142×(10cm)^3

V=4189.333cm^3

Answer:

Closed circle on 0.96, closed circle on 0.94, closed circle on 0.92

Answer:

Since April 2020 wow

Step-by-step explanation:

The area of the circle is 201.1 sq cm. Option B

Step-by-step explanation:

Given,

The radius (r) of the circle = 8 cm

To find the area of the circle.

Formula

Area of the circle = πr²

So,

Area = [tex]\frac{22}{7} X8^{2}[/tex] sq cm

= 201.14 sq cm = 201.1 sq cm

Hence,

The area of the circle is 201.1 sq cm.

The radius of the circle are OR, OT, OS and OU.

The diagram, the diameter of the circle are TU and RS.

The chord of the circle is TR.

Given:

Given that the circle O has the points R, U, S, and T on it. Point O is traversed by segments SR and TU. The diagram also includes segment RT.

We must determine the circle's radii, diameter, and chord.

The circle's radii are as follows:

A circle's radius is the line that connects the circle's center to its perimeter.

The radius of the circle is represented by the letters OR, OT, OS, and OU in the diagram.

Circle circumference:

The diameter of a circle is the straight line that runs through its center and has its ends on the circle.

As a result of the diagram, the circle's diameters are TU and RS.

The circle's chord is:

A circle chord is a straight line with endpoints on the circle.

As a result of the diagram, the circle's chord is TR.

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

There is six sides die :

So, the number of outcomes will be

1,2,3,4,5,6.

There is a card with numbers :

1,2,3,4,5,6,7,8,9,10.

We need to find the event corresponds to exactly one outcome of the experiment.

According to options:

A)Both numbers are 5s.

So, there is exactly one event regarding both numbers are 5's. i.e. (5,5).

B) Neither number is a 5.

There is more than one event having not a 5.

Like (1,1),(1,2) ..........

C) The sum of the numbers is 3.

It can be (1,2),(2,1).

so, there is having two events regarding the sum of the numbers is 3.

D) One of the numbers is a 3.

It can be (3,1), (3,2), (3,4)......

So, we can see that there is more than one event corresponds to one of the numbers is a 3.

Hence, Option 'A' is correct.

Answer:

B chose b im sure

Step-by-step explanation: