1 ) Ms. Allgood donated 63 books to her class. She would like to provide an equal number of books to each of her 9 students.

The approximate measure of angle Q will be 93.2°. Then the correct option is B.

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

a² + b² – 2ab cos C = c²

In a triangle QRS, the length of QR is 21, the length of RS is 32, and the length of SQ is 23.

Then the approximate measure of angle Q will be given as,

RQ² + SQ² – 2 × SQ × RQ × cos Q = RS²

    21² + 23² – 2 × 23 × 21 × cos Q = 32²

                 441 + 529 – 966 cos Q = 1024

                           970 – 966 cos Q = 1024

                                      966 cos Q = – 54

                                              cos Q = – 54 / 966

                                              cos Q = – 0.0559

                                                     Q = 93.2°

The approximate measure of angle Q will be 93.2°.

Then the correct option is B.

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ANSWER: R=6

S= 7.5

T=9

Answer:

45

Step-by-step explanation:

1/2×9×10

since the formula says half base times height, so therefore

Area =45

Answer:

one million eight hundred ninety-six thousand twenty-five

according to me it's both a and b cause the product is not changing even after we are changing the order of the numbers

Step-by-step explanation:

math is all about repetition. the more you do it and use it, the easier it gets. but burning yourself out by putting in to much time is no good either.

there is not a one sized fits all answer, do what's best for you.

Answer:

I'd say 20 minutes to 4 hours, but it really depends on what you're learning. For example, if you're having trouble with a math subject, you may want to divide it in half and practice a little each day.

Step-by-step explanation:

Answer:

1,500.00

Step-by-step explanation:

Assuming 52 weeks in a year, you would make $1,500.00 per week.

Answer:

$1500

Step-by-step explanation:

Here, the question asks what hector's income per week is.

- Keep in mind that if you are asked what something is per unit, you will most likely need to divide. Example: This problem. See below for answer and explanation.

- If a question asks what something is of  a unit, you will most likely need to multiply. Example: 1/4 of a pizza with 4 slices (1 slice). To solve this, you will have to multiply 1/4 to 4. But never mind this, let's focus at this problem.

The bullet points above essentially explain what you have to do here. To find Hector's income, you have to do 78000/52. The answer to this is 1,500 ($1500).

I hope this helped :)

The volume in cubic inches of the prism is 528 cubic inches.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.

The volume is calculated as:-

V = L  x  W  x  H

V = 6  x  11  x   8  

V = 528 cubic inches

Therefore the volume in cubic inches of the prism is 528 cubic inches.

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Answer:

x = 33

Step-by-step explanation:

Like the previous question we are going to imagine that the only angle there is angle "x"

Angle "x" is now an inscribed angle and it's intercepted arc has a measure of 66 degrees.

Now remember that an inscribed angle is equal to half of its intercepted arc.

This means that x = half of 66

[tex]\frac{66}{2} =33[/tex]

Hence, x = 33

Answer:

The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.

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 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.

Mean of 3.3 units/mL

This means that [tex]\mu = 3.3[/tex]

Suppose also that exactly 98% of healthy individuals have TSH levels below 5.9 units/mL.

This means that when [tex]X = 5.9[/tex], Z has a pvalue of 0.98. So Z when X = 5.9, has a pvalue if 0.98, that is, Z = 2.054. We use this to find [tex]\sigma[/tex]

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

[tex]2.054 = \frac{5.9 - 3.3}{\sigma}[/tex]

[tex]2.054\sigma = 2.6[/tex]

[tex]\sigma = \frac{2.6}{2.054}[/tex]

[tex]\sigma = 1.2658[/tex]

The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.

Answer: 10.4

Step-by-step explanation:

(10x - 4) ÷ 5 = 20

             * 5    * 5

10x - 4 = 100

     + 4    + 4

10x = 104

/ 10   / 10

x = 10.4

Answer:

in all about 70

Step-by-step explanation:

Answer:

Step-by-step explanation:

first term (a) = 4

last term (b) = 9

Arithmetic mean (AM)

= ( a + b) / 2

= ( 4 + 9 ) / 2

= 13/2

= 6.5

Geometric mean (GM)

= √a *b

=√4 * 9

=√36

= 6

hope it helps :)

Answer:45

Step-by-step explanation:

The value of x by the given data is 190/3 or 63.33

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The angles between the lines

Now,

To find the value of x, you need to use the fact that the sum of angles in a triangle is equal to 180°1. This means that:

30° + (3x)° + (-40)° = 180°

Simplifying, we get:

(3x)° - 10° = 180°

Adding 10° to both sides, we get:

(3x)° = 190°

Dividing both sides by 3, we get:

x = 190/3

Therefore, by algebra the answer will be 190/3 or 63.33.

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Yes, 23 has an inverse mod 1000 because gcd(23, 1000) = 1 (i.e. they are coprime).

Let x be the inverse. Then x is such that

23x ≡ 1 (mod 1000)

Use the Euclidean algorithm to solve for x :

1000 = 43×23 + 11

23 = 2×11 + 1

→   1 ≡ 23 - 2×11   (mod 1000)

→   1 ≡ 23 - 2×(1000 - 43×23)   (mod 1000)

→   1 ≡ 23 - 2×1000 + 86×23   (mod 1000)

→   1 ≡ 87×23 - 2×1000 ≡ 87×23   (mod 1000)

→   23⁻¹ ≡ 87   (mod 1000)

Answer:

50 cups water

Step-by-step explanation:

10 cups water     = 6 cups lemon juice

x   cups water     = 30 cups lemon juice

To get from 6 to 30, we needed to do x5, so lets do that for 10 as well.

10x5 cups water = 30 cups lemon juice

50 cups water    = 30 cups lemon juice

Answer:

x^2 +7

Step-by-step explanation:

1/2×(x+7)(2x)

2x^2 + 14x/2

2(x^2+7)/2

=x^2 +7

Answer:

a) The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.

b) The null hypothesis is [tex]H_0: \mu \leq 4.50[/tex], and the alternate hypothesis is [tex]H_a: \mu > 4.50[/tex]

Step-by-step explanation:

Finding the confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.01 = 0.98[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.327\frac{2.1}{\sqrt{53}} = 0.67[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4.94 - 0.67 = 4.27 minutes

The upper end of the interval is the sample mean added to M. So it is 4.94 + 0.67 = 5.61 minutes.

a. Is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?

The lower bound of the confidence interval is below 4.50 minutes, which means that there is not sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence.

b. State the null and alternative hypotheses for the test.

Testing if there is evidence to say that the mean wait time for customers is longer than 4.50 minutes, which is the alternate hypothesis.

So the null hypothesis is [tex]H_0: \mu \leq 4.50[/tex], and the alternate hypothesis is [tex]H_a: \mu > 4.50[/tex]

Answer:

Sorry about last time I didnt answer correct hopefully you can forgive me but this one I know 100% its C hope that helps.

Answer:

All except the one that ends with 680, so SELECT THE FOLLOWING:

✓In the long run, Marc can expect to fill prescriptions with 40 pills more often than he fills prescriptions with 50 pills.

✓The most likely number of pills in the next prescription that Marc fills is 40.

✓The expected number of pills in the next prescription that Marc fills is 29.5.

Step-by-step explanation:

I did it on Khan for an exam.

Answer:

D

Step-by-step explanation:

6(g + 4)

we distribute the 6 to the terms in the parenthesis.

(6 × g) + (6 × 4)

(6g) + (24)

6g + 24

Answer:

The third graph

Step-by-step explanation:

y intecepts at (0, 4) and (0, 12)

the slopes are up 1 over 3 and up 3 over 1

Answer:

The answer would be C. It is 6% higher than the theoretical probability.

Answer:

The correct answer is C. It is 6% higher than the theoretical probability.

Step-by-step explanation:

This is correct, I took the test.

Answer:

Ross's profit it 1,781.37

Step-by-step explanation:

$35 per person and 54 people= 35x54=1890

Profit= the amount of money he makes after his expenses.

1890-108.63=1781.37