please help me with this

Answer:

A

Step-by-step explanation:

please say thank you and rate 5 stars and verify

Answer:

A. 190/5.

Step-by-step explanation:

Adele made 190 cookies, which is five times the amount of cupcakes she made. To find the amount of cupcakes she made, we must divide 190 by 5. By doing this we get the answer: 38 cupcakes.

Hope this helps! Let me know!

Using the t-distribution, as we have the standard deviation for the samples, it is found that since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the treatment increases the survival time of patients.

At the null hypothesis, we test if the treatment did not increase the survival time, that is, the subtraction of means is 0, hence:

\(H_0: \mu_T - \mu_W = 0\)

At the alternative hypothesis, we test if the treatment has increased the survival time, hence:

\(H_1: \mu_T - \mu_W > 0\)

For each sample, we have that:

\(\mu_W = 2.2625, s_W = \frac{0.75769858}{\sqrt{8}} = 0.2679\)

\(\mu_T = 4.5875, s_T = \frac{0.50267143}{\sqrt{8}} = 0.1777\)

Hence, for the distribution of differences, the mean and the standard error are given by:

\(\overline{x} = \mu_T - \mu_W = 4.5875 - 2.2625 = 2.325\)

\(s = \sqrt{s_W^2 + s_T^2} = \sqrt{0.2679^2 + 0.1777^2} = 0.3215\)

It is given by:

\(t = \frac{\overline{x} - \mu}{s}\)

In which \(\mu = 0\) is the value tested at the null hypothesis.

Hence:

\(t = \frac{\overline{x} - \mu}{s}\)

\(t = \frac{2.325 - 0}{0.3215}\)

\(t = 7.23\)

Considering a right-tailed test, as we are testing if the mean is greater than a value, with a standard significance level of 0.05 and 8 + 8 - 2 = 14 df, we have that the critical value is of \(t^{\ast} = 1.7613\).

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the treatment increases the survival time of patients.

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The probability that two cards will be drawn at random, without replacement, is 13/18.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

According to our answer-

P(at least 1 green) = 1 - P(no green)

P(no green) = draw yellow on both draws

= P(draw yellow on 1st draw) * P( draw yellow on 2nd draw, given draw yellow on 1st draw)

= 5/9 * 4/8 = 20/72 = 5/18

P(at least 1 green) = 1 - 5/18

= 13/18

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Answer:

x^7 = 60

Step-by-step explanation:

log(a)+log(b)=log(ab) so

logx 5 + logx 12 = logx (5*12) = logx 60

logx a = b means x^b = a so x^7 = 60

The logarithm equation in exponential form is x⁷ = 60

An exponential equation that can be represented in the form of abˣ.

The logarithm equation is:

logₓ 5 + logₓ 12 = 7

According to the rule of the logarithm,

log a + log b = log (ab)

logₓ ( 5 *12) = 7

logₓ ( 60) =7

According to the property of logarithm

logₓ ( a) = b

xᵇ = a

x⁷ = 60

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Answer:

x = 65

Explanation:

A whole circle equals 360*

half of that is 180*

180 - 115 = 65

The walkway is 12 feet 9 inches long.

To find the total length of the walkway, we need to add the lengths of the three boards together.

The first board is 3 feet 7 inches long, which can be written as 3'7".

The second board is 5 feet 4 inches long, which can be written as 5'4".

The third board is 3 feet 10 inches long, which can be written as 3'10".

Now, let's add the lengths together:

3'7" + 5'4" + 3'10"

When adding feet and inches, we need to carry over any extra inches beyond 12 to the feet.

Adding the inches first:

7" + 4" + 10" = 21"

Now, let's add the feet:

3' + 5' + 3' = 11'

So, the total length of the walkway is 11 feet 21 inches.

We need to convert the inches to feet by dividing by 12:

11' + 21" ÷ 12 = 11' + 1'9" = 12'9"

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I think its 2.8.

Reason why:

4/5 = 0.8

Then the 2 would a whole number...

so 2.8.

The first claim,

"If 2n + 4 is even, then n is even"

is false; as a counterexample, consider n = 1, which is odd, yet 2•1 + 4 = 6 is even.

The second claim,

"If n is even, then (n + 3)² is odd"

is true. This is because

(n + 3)² = n ² + 6n + 9

n ² + 6n is even because n is even. 9 is odd. The sum of an even and odd integer is odd.

Answer:

Susan spilled 1/6 of a gallon of lemonade.

Step-by-step explanation:

Since Susan was carrying a pitcher that contained 2/3 of a gallon of lemonade to the table for lunch, and she slipped and spilled 1/4 of the lemonade in the pitcher, to determine what fraction of a gallon of lemonade did she spill the following calculation must be performed:

2/3 = 0.6666

0.666666 x 1/4 = X

0.166666 = X

0.166666 = 1/6

Therefore, Susan spilled 1/6 of a gallon of lemonade.

Answer:

Multiply how much Ken gets paid by 20.

He gets paid $10per hour to make a

He gets paid $100per hour to make b

He gets paid $1per hour to make c

good luck, i hope this helps :)

Answer:

Refer to the attachment

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

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The area of the floor in the scale drawing will be 56 inches².

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The rectangular floor of a classroom is 28 feet in length and 32 feet in width.

And,  A scale drawing of the floor has a length of 7 inches.

Now,

Since,  A scale drawing of the floor has a length of 7 inches.

Hence, By definition of proportion we get;

Let the width of scale drawing = x

So, We get;

⇒ 28 / 32 = 7 / x

⇒ x = 7 × 32 / 28

⇒ x = 8

Thus, The width of a scale drawing = 8 inches

So, The area of the floor in the scale drawing = Length × Width

                                                                      = 7 × 8

                                                                      = 56 inches²

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The cosine of angle B is: cos(B) = AC / AB = 20/29

The Pythagorean Theorem, a well-known geometric theorem that states that the sum of the squares of the legs of a right-angled triangle is equal to the square of the hypotenuse (the opposite side of the right angle) - that is, in familiar algebraic notation. , a2 + b2 = c2 .

In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side to its hypotenuse. In this case, angle B is the angle we are interested in, and the adjacent side is side AC. Using the Pythagorean theorem, we find the length of side AC:

AC² = AB²+ BC²

AC² = 29² - 21²

AC² = 400

AC = 20

Therefore, the cosine of angle B is:

cos(B) = AC / AB = 20/29

Other trigonometric ratios of angle B can be found using the following formulas:

sin(B) = BC / AB = 21/29

tan(B) = BC / AC = 21/20

csc(B) = AB / BC = 29 / 21

sec(B) = AB / AC = 29/20

bed (B) = AC / BC = 20 / 21  

Thus, the trigonometric ratios of angle B are:

sin(B) = 21/29

cos(B) = 20/29

tan(B) = 21/20

csc(B) = 29/21

sec(B) = 29/20

crib(B) = 20/21

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Answer:

1/9 rise 1 run 9

Step-by-step explanation:

if you graph the y coordinate as 3 and find the x value, x value should be 0. Point (0,3) and (-9,2) and do rise over run

Answer:

Step-by-step explanation:

The expression 3s + s + 3 represents the total amount Alex and his family will spend to go to the movies. To simplify this expression, we can combine like terms.

The terms 3s and s are like terms because they both have the variable "s" raised to the power of 1. To combine them, we add their coefficients:

3s + s = (3 + 1)s = 4s

Therefore, the simplified expression is 4s + 3, which represents the total amount Alex and his family will spend to go to the movies.

Answer:

Triangle has 180 degrees

Squares have 360 degrees

Answer:

160

Step-by-step explanation:

To solve volume you multiply so.. 10 x 2 x 8 = 160

Answer:

points (2,2) and (-2,-4):

y-intercept= -1, the equation is y= 3/2x -1

points (-2,0) and (0,-5):

y-intercept = -5, the equation is y= -5/2- 5

points (0,3) and (i can’t read the other one)

y-intercept= 3, the equation is y=4x+ 3!

ask if you need further assistance ^_^

Answer:

Let karly's age be x

mona is four years older

mona = 4+x

Alexis it twice as old as mona

alexis= 2(4+x)

alexis= 8+2x

the sum of their ages is 48

x + 4+x + 8+2x= 48

4x+12=48

4x=48-12

4x=36

x=9

katly is nine years old

mona = 4+x

mona = 4+9

mona = 13

mona is 13 years old

alexis = 8+ 2x

alexis = 8+ 2(9)

alexis = 8+18

alexis = 26

alexis is 26 years old

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

Answer:

K=4

Y=16

X=4

Step-by-step explanation:

\(y = kx {}^{2} \\ finding \: k \: when \: y= 36 \: and \: x = 3 \\ 36 = k(3) {}^{2} \\ 36 = 9k \\ dividing \: through \: by \: 9 \\ \frac{36}{9} = \frac{9k}{9} \\ 4 = k \\ k = 4 \\ findnig \: y \: when \: x = 2 \\ y = 4(2) {}^{2} \\ y = 4 \times 4 = 16 \\ finding \: x \: when \: y = 64 \\ 64 = 4 \times x \\ 64 = 4x \\ dividing \: through \: by \: 4 \\ \frac{64}{4} = \frac{4x {}^{2} }{4} \\ 16 = x {}^{2} \\ square \: root \: bothsides \\ \sqrt{16} = x {}^{2} \\ 4 = x \\ x = 4\)

We have a rectangular garden.

The length L is 8 feet more than 3 times its width.

3 times the width is 3w, so we will add 8 to it and equal it to the length L:

The perimeter will be 2 times the length plus 2 times the width. We can write it and transform it to an expression in terms only of w:

The perimeter has a value of P=16+8w.

We can draw the diagram as:

Part B: If the perimeter of Jims garden is 88 feet, what would be the width of the garden?

We will use the equation we derived in Part A, and we have to replace P=88, in order to find w.

The width is 9.75 feet.

Answer:

Surface area of the box is 3345cm^2

Step-by-step explanation:

First you need to find the surface area of the sides. In order to find the sides you would do 70cm times 15cm to find one of the area of the sides. This would give you that one of the area is 1050cm^2. Since there are three you need to multiply by 3. This means that all the rectangles on the side would have a surface area of 3150cm^2. Then you need to find the area of the triangles. So the Area= Height times (1/2)base. Area= 13cm* times 7.5cm. Therefore the area of the triangle is equal to 97.5cm^2. Since there are two this means that the surface area of the two triangles would be equal to 195cm^2. Then in order to find the total surface area you would need to add the triangles with the rectangles which is equal to 3150cm^2 plus 195cm^2 which totals to 3345cm^2.

Therefore the total surface area for the triangle box is 3345cm^2

15 is 60% of the number 25

To find the number of which 15 is 60%, we can set up the following equation:

0.60 * x = 15

Here, x represents the unknown number.

To solve for x, we divide both sides of the equation by 0.60:

x = 15 / 0.60

Evaluating the division:

x = 25

Therefore, 15 is 60% of 25.

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Answer:

(2a^3a^4)^5 simplifies to 32a^35.

Step-by-step explanation:

To simplify (2a^3a^4)^5, we can use the properties of exponents which states that when we raise a power to another power, we can multiply the exponents. Therefore, we can rewrite the expression as:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5

Next, we can simplify the expression inside the parentheses by multiplying the exponents:

a^3a^4 = a^(3+4) = a^7

Substituting this into our expression, we get:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5 = 2^5 * a^35

Finally, we can simplify this expression by using the property of exponents that states that when we multiply two powers with the same base, we can add their exponents. Therefore, we can rewrite the expression as:

2^5 * a^35 = 32a^35

Therefore, (2a^3a^4)^5 simplifies to 32a^35.