The ratio of cups of sugar to cups of water

Answer:

6.23 kg of pears (check for rounding)

Step-by-step explanation:

8.3 / 4 = 2.08 kg of apples as it is 1/4 of 8.3

8.3 - 2.08 = 6.22 kg of pears

Answer:

Step-by-step explanation:

ok I forgot to tell you the arc PTR would be 126 +54 +14(4) +4 which equals 240 degrees. Answer.

Answer:

BLDM

Step-by-step explanation:

Answer:

6 pieces of candy

Step-by-step explanation:

50% is a half (of 100%)

12 pieces of candy in 100% divide by 2

6 = 50%

Answer:

B

Step-by-step explanation:

I'm pretty sure

Answer:

3 -2x^2 -6x= -18

Step-by-step explanation:

that's what got

Answer:

[tex] 128 \: {ft}^{2} [/tex]

Step-by-step explanation:

Area of the shaded region = 3 times the area of one square with side length 8 ft - 3 time the area of one triangle with base 8 ft and height 8 ft

[tex] = 3 {(8)}^{2} - \cancel 3 \times \frac{1}{\cancel 3} \times 8 \times 8 \\ \\ = 3 \times 64 - 64 \\ \\ = (3 - 1)64 \\ \\ = 2 \times 64 \\ \\ = 128 \: {ft}^{2} [/tex]

Answer:

0.37

Step-by-step explanation:

Answer:

do you need Anything else? hope i helped u

Answer:

what grade is this for?

Step-by-step explanation:

Answer:

c 64 is your answer im pretty sure

Answer:

multiply by 6

Step-by-step explanation:

Answer:

$60.30

Step-by-step explanation:

Answer:

The answer is $52.26 this is a trick question if you were finding how much Michael pay it will be $56.15

brainliest?

Answer:

1. 5(a-6) = 5a-30

2. 2(3a-b) = 6a-2b

3. 5(-5x+3) = -25x+15

4. -(2c+3) = -2c-3

Both of their first step are correct (Show your calculations to explain)

x-9 = 5

x = 14

2x-18 = 10

2x = 28

x = 14

Step-by-step explanation:

All Above

Answer:

0.98 = 98% probability that the average midterm score of these students is at most 75 points.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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

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

The average midterm score of students in a certain course is 70 points.

This means that [tex]\mu = 70[/tex]

29 students are randomly selected and the standard deviation of their scores is found to be 13.15 points.

This means that [tex]\sigma = 13.15, n = 29, s = \frac{13.15}{\sqrt{29}} = 2.44[/tex]

Find the probability that the average midterm score of these students is at most 75 points.

This is the pvalue of Z when X = 75. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{75 - 70}{2.44}[/tex]

[tex]Z = 2.05[/tex]

[tex]Z = 2.05[/tex] has a pvalue of 0.98.

0.98 = 98% probability that the average midterm score of these students is at most 75 points.

Answer:

52 pounds

Step-by-step explanation:

2 x 26= 52

Answer:

Sometimes. Say x = 3 and y = 4. 3 + 4 = 7, 3 - 4 = -1. However, the subtraction problem can be greater than the addition if you add some negatives into the mix. Say x = 3 and y = -4. 3 + (-4) is the same as subtracting 4, which give you -1. However, when you subtract negative four, it's the same as adding four, which gives you seven.

Answer:

[tex]x \ge 0[/tex]  

[tex]y \ge 0[/tex]

[tex]x + y \le 9[/tex]

[tex]8 - x \ge 0[/tex]

[tex]3 - y \ge 0[/tex]

[tex](8 - x) + (3 - y) \le 6[/tex]

Step-by-step explanation:

Given

x = Cars from Baltimore to Trenton

y = Cars from Baltimore to Philadelphia

Required

Write out 6 inequalities

First, 0 or more cars must be shipped to both locations

So:

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

Considering the warehouse in Baltimore.

(1) The warehouse can not ship more than the number of car it has (9).

So:

[tex]x + y \le 9[/tex]

Considering the warehouse in New York.

(1) After shipping cars to Trenton and Philadelphia, the warehouse will have 0 or more cars.

So:

[tex]8 - x \ge 0[/tex] --- To Trenton

[tex]3 - y \ge 0[/tex] --- To Philadelphia

(2) The warehouse cannot send out more than 6.

So:

[tex](8 - x) + (3 - y) \le 6[/tex]

So, the inequalities are:

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

[tex]x + y \le 9[/tex]

[tex]8 - x \ge 0[/tex]

[tex]3 - y \ge 0[/tex]

[tex](8 - x) + (3 - y) \le 6[/tex]

I assume the given plane has equation

x + 3y + 4z = d

for some constant d ≠ 0.

You want to maximize the function V(x, y, z) = xyz subject to the above constraint. The Lagrangian would be

L(x, y, z, λ) = xyz - λ (x + 3y + 4z - d)

Find its critical points:

∂L/∂x = yz - λ = 0

∂L/∂y = xz - 3λ = 0

∂L/∂z = xy - 4λ = 0

∂L/∂λ = x + 3y + 4z - d = 0

The first three equations tell you that λ = yz = xz/3 = xy/4. Then, for instance,

yz = xz/3   →   3yz - xz = z (3y - x) = 0   →   z = 0   or   3y - x = 0

If z = 0, we get zero volume which is not useful. So 3y = x. Similarly, you would find x = 4z and 3y = 4z, so a critical point occurs when x = 3y = 4z.

In the fourth equation, we get upon substituting

x + 3y + 4z = 3x = d   →   x = d/3, y = d/9, z = d/12

Then the largest volume of this box would be

V(d/3, d/9, d/12) = d ³ / 324

Answer:

0.6892 = 68.92% of bottles are within specification.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

On average, each bottle contains 2.07 liters of soda, with a standard deviation of 0.06 liters.

This means that [tex]\mu = 2.07, \sigma = 0.06[/tex]

The plant’s quality manager wants to determine how well the process is operating.

To do this, we find the proportion of bottles within specification.

The specification limits for a bottle of soda are 2.1 liters and 1.9 liters

This is the pvalue of Z when X = 2.1 subtracted by the pvalue of Z when X = 1.9. So

X = 2.1

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.1 - 2.07}{0.06}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a pvalue of 0.6915.

X = 1.9

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1.9 - 2.07}{0.06}[/tex]

[tex]Z = -2.83[/tex]

[tex]Z = -2.83[/tex] has a pvalue of 0.0023

0.6915 - 0.0023 = 0.6892

0.6892 = 68.92% of bottles are within specification.

Answer:

Step-by-step explanation:

We are to rank the options given in the question to correctly prove the theorem that: "If A & B are set, and A is a subset of B"

To arrange the steps in the correct order, we have:

(a) Assume that B is countable

(b) The elements of B can be listed as b1, b2, b3

(c) Since A is a subset of B, taking the subsequence of {bn} that contains the terms that are in A gives a listing of the elements of A.

(d) Therefore A is countable, contradicting the hypothesis.

(e)  Thus B is not countable

Answer:

-x-9

Step-by-step explanation:

-(x+9)

The "-" at the beginning can be rewritten as -1

=-1(x+9)

To distribute -1 into the parentheses, multiply each value inside by -1

=(-1)(x)+(-1)(9)

=(-x)+(-9)

= -x-9

I hope this helps!

Answer:

0.04

Step-by-step explanation:

Using absolute value |.02|+|.-02|= .04

Answer:

Y = 13

Step-by-step explanation:

You can use the sine rule to solve this.  The sine rule states that:

Sin(a) / A = Sin(b) / B = Sin(c) = C

In other words the sine of the angle in any corner in a triangle, divided by the length of the opposite side, will be equal to that of the other two sides as well.  

In this case, we can take the ratio between the sine of the right angle, and each of our hypotenuses, and state them as equal, giving us the solution:

sin(90) / (5y + 13) = sin(90) / 6y

1 / (5y + 13) = 1 / 6y

5y + 13 = 6y

6y - 5y = 13

y = 13

Answer:

3/5 of an hour, 60 minutes, 2/3 of an hour

Step-by-step explanation:

Answer:

D. The more that men and women differ in their color preferences, the larger the chi-square statistic will be.

Step-by-step explanation:

Hypothesis testing is a statistical technique which is used to identify the conclusion regarding whether to accept or reject the statistical statement. There is alternative hypothesis statement again which null hypothesis is tested.