Evaluate 4c - 3
When c = -2

Answer:

0

Step-by-step explanation:

Because Rory's higher average and Lane's higher average is 96 in Quiz 3.

96-96=0

Answer:

0

Step-by-step explanation:

1. First, we should know the slope-intercept form of any equation: y = mx + b.

2. In the equation y = -2/3(x), it appears that the variables we can see are y, m, and x. However, the y-intercept, b, is still there with the value of 0.

Therefore, the y-intercept is 0.

Answer:

[tex] \: [/tex]

A. The sales tax will be $ 22.999425

so, the sales tax » $ 23

5.75 % of $ 399.99

B. The Total Purchase will be →

or

Using Venn probabilities, it is found that there is a 0.08 = 8% probability that the customer only likes iced coffee.

In this problem, the events are:

The probability of only liking iced coffee is:

[tex]P(I \cap H^c) = P(I) - P(I \cap H)[/tex]

Then:

[tex]P(I \cap H^c) = P(I) - P(I \cap H) = 0.3 - 0.22 = 0.08[/tex]

0.08 = 8% probability that the customer only likes iced coffee.

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Using the Central Limit Theorem, it is found that the distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.

The Central Limit Theorem establishes 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].

In this problem, for the population, [tex]\mu = 50, \sigma = 15[/tex].

The distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.

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[tex]n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_7=\stackrel{7^{th}\ term}{192}\\ 7=\textit{term position}\\ a_1=\textit{first term}\\ r=\stackrel{\textit{common ratio}}{2} \end{cases} \qquad \qquad a_7=a_1\cdot 2^{7-1} \\\\\\ 192=a_1\cdot 2^6 \implies 192=64a_1\implies \cfrac{192}{64}=a_1\implies \boxed{3=a_1}[/tex]

Answer:

x = -3 ==> 2(-3) + 1 = (-6) + 1 = -5

x = 9 ==> 2(9) + 1 = 18 + 1 = 19

x = 15 ==> 2(15) + 1 = 30 + 1 = 31

Answer:

53.6 inches

p = 4s

Step-by-step explanation:

The perimeter of a square is four times the side

The direct variation equation is

p = 4s

p = 4 * 13.4

p = 53.6 inches

Answer:

You choose but it looks like what you have labeled B

Step-by-step explanation:

R = K / S         INVERSE PROPORTION

16 = K / 3        VALUES GIVEN: MULTIPLY BY 3 ON BOTH SIDES

16*3 = k

K =  48

Answer: R = 48/S

A relationship between two expressions or values that are not equal to each other is called 'inequality. inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2)  is x≥-92/58.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is

53(2x + 2) – 10 ≥ 2x + 2(23x + 2)

Apply the distributive property

106x+106-10≥ 2x + 46x+4

Add the like terms

106x+96≥ 48x+4

Take all common variables on one side

106x-48x≥4-96

106x-48x is 58 and 4 minus 96 is minus 92.

58x≥-92

x≥-92/58

Hence inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2)  is x≥-92/58.

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The formula for determining the mean from the probability distribution table is expressed as mean = summation(x * P(x))

Thus, we have

x | p(x) | xp(x)

3 | 0.14 | 0.42

6 | 0.05 | 0.3

9 | 0.36 | 3.24

12 | 0.35 | 4.2

15 | 0.10 | 1.5

Mean = 0.42 + 0.3 + 3.24 + 4.2 + 1.5 = 9.66

The last option is correct.

Answer:

12cm by 15cm

8cm by 10cm

4cm by 5cm

Step-by-step explanation:

it is made smaller so any values smaller than 15cm but in ratio of 4:5 can be answer

Answer:

15 cm is the new dimensions of new photograph

Step-by-step explanation:

initial dimension of shorter side = 8 cm

initial dimension of longer side = 10 cm

final dimension ofshorter side = 12 cm

finial dimension of longer side = x cm

The enlargement always ensure the aspect ratio

aspect ratio = lonter side/shorter side

equating, [tex]\frac{10}{8}[/tex] = [tex]\frac{x}{12}[/tex]

Solving for x,

10 × 12 = 8 × x

[tex]x = \frac{10 x 12 }{8} = \frac{120}{8 } = 15[/tex]

        /\

        that says 10 x 12

longer side is 15cm

(Hope this helps can I pls have brainlist (crown)☺️)

[tex]\cos \theta = \dfrac 12\\\\\implies \theta = 2n\pi \pm \dfrac{\pi}3\\\\\text{For n =0 ~ \text{and}~ n=1}\\\\\\\theta = \dfrac{\pi}3 , \dfrac{5\pi}{3}\\\\\text{In degrees,}\\\\\theta = 60^{\circ} , ~ 300^{\circ}[/tex]

distance from the point to O, so it can never be negative so answer is

b.oppsite

Answer: 5/8

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

1/4=2/8

2/8+3/8=5/8

Answer:

0.24

Step-by-step explanation:

There is nothing, after the hundredths (4), to round it, So 0.24 is already rounded to the nearest hundredths.

The number 0.024 after rounded off to the nearest hundred its become 0.02.

Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Given that;

The number is,

⇒ 0.024

Now, After rounding off to the nearest hundred, we get;

⇒ 0.024 ≈ 0.02

( Because 4 is less than 5. )

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Answer:

If in you little HMH thing it is 4044.8

Answer:

16x

Step-by-step explanation:

(3x + 2) (x - 6)

Multiply 3x by x and -6

3x^2 - 18x

Multiply 2 by x and -6

2x - 12

Combine like terms

3x^2 - 16x - 12

The middle term is 16x

Answer:

8 hours

Step-by-step explanation:

Answer:

8hours

Step-by-step explanation:

9514 1404 393

Answer:

  -3, 13

Step-by-step explanation:

8 units to the left of 5 on the number line is 5-8 = -3.

8 units to the right of 5 on the number line is 5+8 = 13.

The possible locations of Y are -3 or 13.

Answer:

The nth term of this number sequence 18, 16, 14, 12,... will be -2n + 20.

First term = 18

Second term = 16

Common difference = 16 - 18 = -2

It should be noted that the formula for finding the next term of an arithmetic sequence will be:

= a + (n - 1)d

= 18 + (n - 1) × -2

= 18 - 2n + 2

= -2n + 20

Therefore, the nth term of this number sequence 18, 16, 14, 12,... will be -2n + 20.

Step-by-step explanation:

Answer:

The pattern is adding by consecutive odds.

Step-by-step explanation:

The first odd you start with is 3:

1 + 3 = 4

4 + 5 = 9

9 + 7 = 16

16 + 9 = 25

25 + 11 = 36

...

Note that each time you add, it is by consecutive odds, meaning that after 36, you are adding 13, then 15, etc.

~

Step-by-step explanation:

the rules of logarithm.

log(a×b) = log(a) + log(b)

log(a^b) = b×log(a)

2×log(x) = log(16) + log(4)

now, using the above knowledge :

log(x²) = log(16×4)

=>

x² = 16×4 = 64

x = ±8

and since a logarithm of a negative number is undefined the only plausible solution is

x = 8

Answer:

y = -5/2x + 22

Step-by-step explanation:

y = mx + b

2 = -5/2(8) + b

2 = -40/2 + b

2 = -20 + b

22 = b

y = -5/2x + 22

Answer:

(x+1.5)^2 -10.25

Step-by-step explanation:

1)first, we half 3 to give us 1.5

(x+1.5)^2

2)square 1.5=2.25

so far we have (x+1.5)^2 - 2.25 --- the negative sign from 2.25 is part of the formula

3)we subtract 8 from -2.25. the 8 comes from here shown in bold ----- x^2+3x-8

4) (x+1.5)^2 -2.25 - 8

5)simplify the last part by doing -2.25 - 8= -10.25

6)answer is (x+1.5)^2 - 10.25

9514 1404 393

Answer:

  ∠B = 79°

Step-by-step explanation:

Vertical angles are congruent, so you have ...

  6x -11 = 5x +4

  x = 15 . . . . . . . . . . . add 11 -5x to both sides

  5x +4 = 5·15 +4 = 79

The angles measure 79°.

_____

Checkk

  ∠A = 6x -11 = 6·15 -11 = 90 -11 = 79

Work Shown:

[tex]a^2 + b^2 = c^2\\\\b^2 = c^2 - a^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{29^2 - 21^2}\\\\b = \sqrt{841-441}\\\\b = \sqrt{400}\\\\b = 20\\\\[/tex]

I applied the pythagorean theorem.