1. A bag contains 40 marbles, 28 red ones and 12 blue ones. A marble is picked at random
from the bag.

What is the probability of picking:
a) a red marble _____
b) a blue marble _____
c) a yellow marble _____​

Answer:

0

Step-by-step explanation:

-3+8x-5=-8

8x-8=-8

8x=-8+8

x=0/8

x=0

Answer:

D. 0

Step-by-step explanation:

-3+8(0)-5 = -8

b. the price at which the supplier will make 2000 units available in the market is $76.

To sketch the supply curve, we need to determine the relationship between quantity supplied (X) and price (P). The supply equation P = \(x^{2}\) + 16x + 40 represents a quadratic equation. By selecting different values for X and solving for P, we can plot the corresponding points on a graph to visualize the supply curve. We can choose various values for X, such as 0, 1, 2, 3, and so on, and calculate the corresponding values of P using the supply equation. Connecting these points will give us the shape of the supply curve.

To determine the price at which the supplier will make 2000 units available, we substitute X = 2 into the supply equation P = \(x^{2}\) + 16x + 40 and solve for P. By substituting X = 2, we have P = 4 + 16(2) + 40 = 4 + 32 + 40 = 76.

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When Joan examines the graph, she notes that there are always three times as many steps as there are feet. She is not correct.

A simple graph is a graph that does not have more than one edge between any two vertices and no edge starts and ends at the same vertex. In other words a simple graph is a graph without loops and multiple edges.

According to the graph we were shown, if she takes 6 steps, that implies she is walking 18 feet. To write this down in mathematics, let x be the number of steps she is taking and y be the number of feet she has covered. If x = 6 and y = 18, then x  3 times equal to y.

From the graph, we can see that when the steps are two, then feet are six, the steps are four, then feet are twelve, and the steps are six, then feet are eighteen.

x= 2,4,6 then y = 6,12,18

x*n = y

2 * n = 6.

4* n = 12

6*n = 18 and so on

n = 3

that is x*3 = y

3times steps is the number of feet, is the correct statement.

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The correct representations of the inequality expression are (a) 6x – 15 > -10 + 5x and (c) 3(2x – 5) > -5(2 – x)

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

–3(2x – 5) < 5(2 – x)

Divide bot sides of the inequality by -1

So, we have the following representation

3(2x – 5) > -5(2 – x)

Next, we open the brackets

This gives

6x – 15 > -10 + 5x

Hence, the representation is 6x – 15 > -10 + 5x

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Complete question

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

(a) 6x – 15 > -10 + 5x

(b) 6x – 15 < -10 + 5x

(c) 3(2x – 5) > -5(2 – x)

(d) 3(2x – 5) < -5(2 – x)

Step-by-step explanation:

Answer:

10 dance class

Step-by-step explanation:

The correct option is (d) a student needs to take 10 dance classes to learn the routine. Step-by-step explanation: Given that each dance class is hour and a student takes hours to learn a dance routine. We are to select the TRUE statement. Thus, a student needs 10 dance classes to learn the dance routine.

Answer:

14cm

Step-by-step explanation:

your welcome

Answer:false

Step-by-step explanation:

\( \fbox{(2,5)}\)

Hello, substitute all the given coordinates & see if RHS match with LHS

given equation,

y = 4x-3

First coordinate,

(x,y) = (2,5)

5= 4×2-3

5=5

Hence, first solution satisfies the given equation,

let's solve for rest other cordinates,

second coordinate,

(x,y) = (5,5)

5= 4×5-3

5 ≠ 17

does not satisfy,

third coordinate,

(x,y) = (4,5)

5= 4×4-3

5 ≠ 13

does not satisfy,

fourth coordinate,

(x,y) = (4,5)

5 = 4×3-3

5 ≠ 9

does not satisfy.

Hence the correct answer is (2,5)

\( \sf \small Thanks \: for \: joining \: brainly \: community! \)

P-value = 0.0384

As P-value < 0.05, reject the null hypothesis.

A statistic (a number obtained from the sample) used in statistical hypothesis testing is known as a test statistic. Usually, a hypothesis test is described in words.

A test statistic is a figure obtained from a statistical analysis. It explains how distant your observed data is from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.

The alternative and null hypotheses are listed below.

Lack of hypothesis H0: μ = 13

Ha: 13 Alternative Hypothesis

Statistical test, z = (xbar - mu)/(sigma/sqrt(n))

z = (11 - 13)/(8/sqrt(50))

z = -1.77

Region of Rejection

For α= 0.05, this is a left-tailed test.

Z has a critical value of -1.645.

Therefore, if z -1.645, reject H0 and accept the null hypothesis.

P-value Approach

P-value = 0.0384

As P-value < 0.05, reject the null hypothesis

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We can actually deduce here that the point on the number line that represents the product (-4)(-2)(-1): -8.

Number line is actually known to be a horizontal or vertical line that is graduated with both negative and positive numbers. A number line is known to have both negative and positive numbers.

We see here that if we multiply out the brackets, (-4)(-2)(-1) = (8)(-1) = -8.

Thus, the answer is -8.

See attached image.

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a) Rounded cost: $27.25 is rounded to $27.00.

b) Amount tendered: $50.00

c) Change due: $22.75

cChange due: To calculate the change due, subtract the cost from the amount tendered:

Change = Amount Tendered - Cost

Change = $50 - $27.25

Change = $22.75

d) Bills and Coins for the change: The change of $22.75 can be broken down into bills and coins as follows:

Bills: 1 twenty-dollar bill ($20)

2 one-dollar bills ($2)

Coins: 3 quarters (25 cents each, totaling 75 cents)

2 dimes (10 cents each, totaling 20 cents)

So the breakdown of bills and coins for the change would be:

1 twenty-dollar bill

2 one-dollar bills

3 quarters

2 dimes

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Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

I solved C first using:

30+38+c = 180 (angles along a straight line should add up to 180 since a whole circle is 360)

-

I solved A by looking across from C.

Angles on opposite sides should mirror each other but A includes 38* + C

Just by doing 112 + 38 you get 150.

-

I solved D by looking at 30*, alternative interior angles are the same so D is 30*.

-

I solved B by taking C (112) and D (30) and adding them together and subtracting from 180.

Interior angles of a triangle should all add up to 180,

112 + 30 + B = 180

From this I got that B was 38.

Alternatively you can find this out by looking at the 38 degrees, corresponding congruent angles are always the same.

I suggest reviewing this angles sheet if you're ever stuck in the future.

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

Answer:

No, the given set of pairs does not represent a function

Step-by-step explanation:

For a set of values to be a function, each input must have one and only one output value

Now, for the given set, we can note that:

The input -13 has two output values; 4 and 9

Therefore, this set is not a function

Hope this helps :)

Answer:

Answer: 252.77 g of potassium nitrateExplanation:2.50 mol KNO3 x __101.108 g__ = 252.77 g of KNO3 1 mol KNO3.

Answer:

252.77 g

Step-by-step explanation:

Answer:

I think this is the answer

-0.25

Step-by-step explanation:

2-3/4

-1/4

The speed of the faster car is 40 miles/hr.

both cars travel for same time , so let that time be 't'

car 1 :

distance travelled = 75 miles

let the speed of the car be = x miles/hr

∴ time (t)  = distance / speed

              t  =   75 / x               .............(1)

car 2 :

distance travelled = 100 miles

speed of the car is = x + 10 miles/hr  ( already provided )

∴  time ( t) = distance / speed

            t  = 100/ (x+10)        ..............(2)

    now as the time for both the cases is same  , so we equate eqn (1) and eqn (2) .

∴ 75/x  =  100/ (x+10)

3x + 30 = 4x

x = 30

so the speed of the 1st car will be 30 miles / hr

and the speed of the 2nd car ( faster car ) will  be x + 10 = 40 miles/hr

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Triangles have \(180^{\circ}\) in total, so the sum of all the angles should be \(180^{\circ}\)

First triangle

\(180 = 90 + (x + 5) + (2x - 2)\\180 = 90 + x + 5 + 2x - 2\\180 - 90 - 5 + 2 = x + 2x\\87 = 3x\\x = 29^{\circ}\)

Second triangle

\(180 = (x + 40) + (2x - 5) + (3x - 17)\\180 = x + 40 + 2x - 5 + 3x - 17\\180 - 40 + 5 + 17 = x + 2x + 3x\\162 = 6x\\x = 27^{\circ}\)

Answer:

The first one is 7 I think

Step-by-step explanation:

x+5=2x-2

subtract x from both sides.

5=x-2

add two to both sides and that is 7

Second one is -14 I think

x+40+3x-17=2x-5

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x+40+3*x-17-(2*x-5)=0

Pull out like factors :

2x + 28  =   2 • (x + 14)

Solve  :    x+14 = 0  

Subtract  14  from both sides of the equation :  

                     x = -14

Check the picture below.

No, it is not safe to assume that the sampling distribution of the sample means is about normal given the sample size.

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The wire that connects the top of the tower to the point of the ground is thus the hypotenuse and its length is 84 foot.

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Given that the height of the tower is 168 foot, and the angle is 30 degrees.

The wire that connects the top of the tower to the point of the ground is thus the hypotenuse.

To find the hypotenuse, we use the trigonometric ratios as follows:

Sin 30 = 168 / Hypotenuse

0.5 = 168 / Hypotenuse

Hypotenuse = (168)(0.5)

Hypotenuse = 84.

Hence, the wire that connects the top of the tower to the point of the ground is thus the hypotenuse and its length is 84 foot.

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We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.

In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.

Thus, we need to use the t-distribution to construct the confidence interval.

The formula for the confidence interval is as follows:

Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368

Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).

This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

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Answer:

34cm squared

Step-by-step explanation:

Formula: 2(WL+HL+HW)

(2*5) + (1*5) + (1*2) = 10 + 5 + 2  = 17 17*2 = 34

Answer:

34

Step-by-step explanation:

2(wl+ hl+hw)

2(10+5+2)

= 34

Answer:

c

Step-by-step explanation:

Answer: I don't know

Step-by-step explanation:

Mark me as brainiest

Answer:

it's help me ttoo

Step-by-step explanation:

i need help with mathh please im going to fail

The answer to the equation is one 1

Answer:

C = 3.14

Step-by-step explanation:

Center of the circle is (h, k)

h = 4,  k = 1

Use the equation of a circle and the given point (4, -4) to find r:

r² = (x-h)² + (y-k)² = (4-4)² + (-4-1)² = 0 + (-5)² = 25

r = √25 = 5

Find circumference, C:

C = 2πr = 2π(5) = 31.4

Brainly doesn't provide drawing tools, but you can easily draw this circle.  Just plot the center point (4, 1), then draw a circle with a radius of 5 around it.  You'll see that this circle passes through the point (4, -4).

In quadrilateral ABCD, we have: ∠B = 103°, ∠C = 85.67°, and ∠D = 85.67°Now, to find ∠BCD (i.e. ∠BCD), we can use the fact that: ∠B + ∠C + ∠D + ∠BCD = 360°Substituting the given values, we get: ∠B + ∠C + ∠D + ∠BCD = 360°103° + 85.67° + 85.67° + ∠BCD = 360°⇒ ∠BCD = 85.67°.

Given, quadrilateral ABCD with AB || DC and AD || BC. Angle B is 103° and we have to find the measure of angle BCD (i.e. ∠BCD). Let's solve this problem step-by-step:Since AB || DC, the opposite angles ∠A and ∠C will be equal:∠A = ∠C (Alternate angles)We know that, ∠A + ∠B + ∠C + ∠D = 360° Substituting the given values in the above equation, we get:∠A + 103° + ∠C + ∠D = 360°  ⇒ ∠A + ∠C + ∠D = 257°We can now use the above equation and the fact that ∠A = ∠C to find ∠D: ∠A + ∠C + ∠D = 257° ⇒ 2∠A + ∠D = 257°  (∵ ∠A = ∠C)  We also know that, AD || BC. Hence, the opposite angles ∠A and ∠D will be equal: ∠A = ∠D (Alternate angles)Therefore, 2∠A + ∠D = 257°  ⇒ 3∠A = 257°  ⇒ ∠A = 85.67°Now, we can find ∠C by substituting the value of ∠A in the equation: ∠A + ∠C + ∠D = 257° ⇒ 85.67° + ∠C + 85.67° = 257°  (∵ ∠A = ∠D = 85.67°)⇒ ∠C = 85.67°Hence, in quadrilateral ABCD, we have: ∠B = 103°, ∠C = 85.67°, and ∠D = 85.67°Now, to find ∠BCD (i.e. ∠BCD), we can use the fact that: ∠B + ∠C + ∠D + ∠BCD = 360°Substituting the given values, we get: ∠B + ∠C + ∠D + ∠BCD = 360°103° + 85.67° + 85.67° + ∠BCD = 360°⇒ ∠BCD = 85.67°Answer:∠BCD = 85.67°.

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Answer:

6 + (-15) = (-9)

Step-by-step explanation:

Using the normal distribution and the central limit theorem, it is found that there is a 0.2119 = 21.19% probability that more than 77​% of the sample have a​ driver's license.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, we have that:

The conditions are verified because:

np = 300 x 0.75 = 225 > 10.

n(1-p) = 300 x 0.25 = 75 > 10.

The mean and the standard error are given by:

\(\mu = p = 0.75\)

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.75(0.25)}{300}} = 0.025\)

The probability that more than 77​% of the sample have a​ driver's license is one subtracted by the p-value of Z when X = 0.77, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{0.77 - 0.75}{0.025}\)

Z = 0.8

Z = 0.8 has a p-value of 0.7881.

1 - 0.7881 = 0.2119.

0.2119 = 21.19% probability that more than 77​% of the sample have a​ driver's license.

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