A bakery sold a total of 120 cupcakes in a day, and 45% of them were chocolate flavored. How many of the cupcakes sold that day were chocolate flavored?

Answer:

One book would cost $13.

Step-by-step explanation:

To solve this all you have to do is divide 65 by 5. Since 65 divided by 5 is 13, 13 is your answer. So one book would cost $13.

I hope this helps you.

Answer: 7) -12;

               8) 0 или 1.

Step-by-step explanation:

7.

x ≤ - 12

x ∈ ( - ∞; - 12]

Наибольшее целое значение, при котором верно неравенство равно -12.

8.

-9,6*8 > - 9,627

Варианты возможных чисел: -9,618 и -9,608.

Значит вместо звездочки можно подставить цифры 0 или 1.

Im not sure how to explain how to do a graph, but I hope this helps at least a bit!

~Direct Variation When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. In simpler terms, that means if A is always twice as much as B, then they directly vary. If a gallon of milk costs $3, and I buy 1 gallon, the total cost is $3.~

Answer:

0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, the central limit theorem, and subtraction of normal variables:

Normal probability distribution

When the distribution is normal, we use 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.

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.

Subtraction of normal variables:

When we subtract two normal variables, the mean is the subtraction of the mean of each variable, while the standard deviation is the square root of the sum of each variance.

Method A:

One student: N(75,30), so [tex]\mu = 75, \sigma = 30[/tex]

Samples of 100 students: [tex]n = 100, s = \frac{30}{\sqrt{100}} = 0.3[/tex]

Method B:

One student: N(74,40), so [tex]\mu = 74, \sigma = 40[/tex]

Samples of 100 students: [tex]n = 100, s = \frac{40}{\sqrt{100}} = 0.4[/tex]

What is the probability that the mean score for the B group will be at least five points higher than the mean score for the A group?

This is the probability that B - A >= 5. So

[tex]\mu_{B-A} = \mu_B - \mu_A = 74 - 75 = -1[/tex]

[tex]s_{B-A} = \sqrt{s_A^{2}+S_B^{2}} = \sqrt{(0.3)^2+(0.4)^2} = 0.5[/tex]

We have to find 1 subtracted by the pvalue of Z when X = 5. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{5 - (-1)}{0.5}[/tex]

[tex]Z = 12[/tex]

[tex]Z = 12[/tex] has a pvalue of 1

1 - 1 = 0, so

0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group

I know you said never mind but the answer is a and d if it's wrong im sorry but i got it right on mine

Answer: a & d

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

3x + 1 = 2x - 4

x + 1 = -4

x = -5

The x-coordinate in the solution of the system is -5.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Given the equations y = 3x + 1

y = 2x - 4

comparing both equations for equal values of y,

3x + 1 = 2x - 4

3x  - 2x = -4 - 1

x = -5

substitute value of x in equation,

and y = 3x + 1

y = 3(-5) + 1

y = -14

Hence the value of x is -5.

Learn more about linear equations;

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Answer:

10

Step-by-step explanation:

Let N represent the set of 5 hearts cards that are not flushes

From the image attached below; there are thirteen (13) denominations on deck

i.e.  (A,K,Q,J,10,9,8,7,6,5,4,3,2) in the deck

Let us take an integral look at the set of cards that contains consecutive dominations in hearts. Relating them from the lowest denomination to the highest denomination. Also, for hand to be in a straight all cards, they must be in consecutive order.

So, starting from the lowest straight A-2-3-4-5 to the highest straight, we would have a royal flush 10, J, Q, K, A

∴

[tex]N = \left \{ {{(A,2,3,4,5,),(2,3,4,5,6),(3,4,5,6,7),(4,5,6,7,8)(5,6,7,8,9)} \atop {(6,7,8,9,10),(7,8,9,10,J),(8,9,10,J,K),(9,10,J,K,L),(10,J,Q,K,A)}} \right. \}[/tex]

Hence, the total no of outcome for N = 10

Answer:

X=2

Step-by-step explanation:

9x+8(-4x+7)=10

9x+(-32x)+56=10

-23x=10-56

-23x=-46

X=-46/-23

so X=2

Answer:

Trigonometry can be used to measure the height of a building or mountains: if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building.

Answer:

Step-by-step explanation:

Here the answer

Answer:

Angle X i belive is a right angle

Answer:

146.3m²

Step-by-step explanation:

area of quarter circle=1/4π×8²

=50.3m²

area of the square=s²

8×8=64m²

area of the triangle=1/2bh

1/2×8×8=32m²

total area=50.3+64+32=146.3m²

Answer:

y=-4x+15

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

total are 36 and it's 1

Answer:2

just make them into positive if there’s 2 negatives 7-5=2

Answer:

27 minutes

Step-by-step explanation:

33% of 24.5 is 8.1 ounces

.3 oz / 1 min = 8.1 oz / 'x' min

cross-multiply:

.3x = 8.1

x = 8.1 / .3

x = 27

Answer:

D

Step-by-step explanation:

[tex]-5+2(7b+6)\geq 10b+7(1+11b)\\-5+14b+12\geq 10b+7+77b\\70b\leq 0\\b\leq 0[/tex]

Answer:

Example 1 35 example 2 is 320 and example 3 is 56 example 4 is 160

Step-by-step explanation:

Answer:

again sorry I do not know but I think it d because it not the same as the rest.

20,24,28,36,51,60 us the correct statement

Answer:

x^2 - 5

Step-by-step explanation:

x = -1, y = 1 - 5 = -4.

x = 0, y = 0-5 = -5.

x = 1, y = 1 - 5 = -4.

Answer:W=5x15

HTH

Step-by-step explanation:

Step-by-step explanation:

4-(-5)

= 4+5

= 9

............

Answer:

algebraic terms = 4- -4 = 8

Step-by-step explanation:

-4 is our lowest value as 5 is not equal or counted

4 is our highest value and is counted.

Answer:

Step-by-step explanation:

4a^5 - a + a^5 + 6a - 1

5a^5 + 5a - 1

Answer:

3

Step-by-step explanation:

[tex]\frac{y_{1} - y_{2}}{x_{1} - x_{2}} = \frac{9}{3} = 3[/tex]