Elerik is using the recipe below to make fruit salad. If he uses 30 diced
strawberries, how many bananas will he use in his fruit salad?*
Fruit Salad Recipe
4 bananas, diced
3 apples, diced
6 pears, diced
10 strawberries, diced

The Null hypothesis and alternative hypothesis for the given sample of cell phone spent time data of 32 randomly selected adults during lockdown and pre-pandemic times are,

                           H₀ : μd = 0 and Hₐ : μd > 0

Correct option is option (d).

To decide whether a hypothesis should be accepted or rejected, statisticians utilize formal, planned procedures known as hypothesis testing. Hypothesis testing is the process of choosing hypotheses for a specific probability distribution based on observable evidence.

Given:

A study obtained time data of 32 randomly selected young adults spent on their cell phones pre-pandemic and then during the lockdown phase of the pandemic. let us consider,

L --> time spent on cell phone by adults during lockdown

P --> time spent on cell phone by adults at pre pandemic time

and                       d = L- P

we want to perform a hypothesis testing on this sample .

The samples are dependent because same adults are being sampled before and after the lockdown.

Also, we need to test if mean time after is higher than mean time before so this is a right tailed test. Hence,

The correct hypotheses will be:

                                   H₀ : μd= 0

                                     Hₐ : μd> 0

Hence, option D is the correct option.

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Answer:

6m

Step-by-step explanation:

the side of first square = 3 m

area of first square = 3^2= 9 m^2

let the side of second square = x m

since diagonal of first square = x m as per the question

in a square each angle is 90 degree

therefore by applying pythagorus theorem ,

diagonal ^2 = side^2 + side ^2

diagonal^2 = 3^2+3^2=9+9

DIAGONAL= square root of 18

diagonal= 3\(\sqrt{2}\) m = side of second square

therefore in second square ,

one angle is 90  degree , therefore by applying pythagorue theorem

diaqonal^2 = side ^2 + side ^2 = (3\(\sqrt{2}\))^2 + ( 3\(\sqrt{2}\))^2

diagonal ^2 = 18 + 18

diagonal = square root of 36

therefore diagonal of second square is 6m

hope it helps you... please mark me as the brainliest..

Answer:

6m explained it all hope it helps

Answer:

What is the question?

Step-by-step explanation:

Answer:

multiply it so you can get 90

Step-by-step explanation:

your going to multiply 0.75 times 15 or you can divied it to it is b

if you think im wrong press the heart

Answer:

ABC~WXY by AA

Step-by-step explanation:

In ΔABC

∠B = 90°

∠A = 27°

To Find ∠C

Angle sum property: The sum of all angles of triangle is 180°

∠A+∠B+∠C=180°

27°+90°+∠C=180°

∠C=180°-117°

∠C=63°

In ΔWXY

∠X = 90°

∠Y = 63°

We will use angle sum property

So, ∠W+∠Y+∠X=180°

90°+63°+∠W=180°

∠W=180°-(90°+63°)

∠W=27°

So, ∠A=∠W

∠B =∠X

∠C = ∠Y

So, ABC~WXY by Angle - Angle property.

Hence ABC~WXY by AA

Answer:

1)8

2)25

3)20

Step-by-step explanation:

I hope this helps :)

Let me know if you have any questions

Answer:

1. 8

2. 25

3. 20

In general, to evaluate the function f(x) at a specific value of x, we substitute that value into the expression for f(x) and simplify.

In mathematics, a function is a relation between two sets, where for every element in the first set (called the domain), there is exactly one element in the second set (called the range) that the function maps to. In simpler terms, a function is a rule that assigns each input value from the domain to exactly one output value in the range. Functions are usually represented by a formula or equation that describes the relationship between the input and output values. For example, the function f(x) = 2x + 1 maps every input value of x to an output value that is twice the input value plus 1.

Here,

To evaluate the function f(x) = 4x - 6, we substitute the given values of the independent variable into the expression for f(x) and simplify.

For example:

f(0) = 4(0) - 6 = -6

f(1) = 4(1) - 6 = -2

f(2) = 4(2) - 6 = 2

f(-1) = 4(-1) - 6 = -10

f(3a) = 4(3a) - 6 = 12a - 6

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Answer:

yaaaa

Step-by-step explanation:

Answer: First we evaluate g(0), then plug the value into f(x).

g(0) = -2(0) + 7 = 7.

Thus, we need to do f(7).

f(7) = 3(7)-4 = 21 - 4 = 17.

Step-by-step explanation: Hope it helped :)

In hypothesis testing, a Type 1 error occurs when we reject a null hypothesis that's actually true. In other words, we conclude that there's a significant effect or difference when there is not one. The probability of making a Type 1 error is denoted by the symbol alpha( α).

A Type 2 error, on the other hand, occurs when we fail to reject a null hypothesis that's actually false. In other words, we conclude that there's no significant effect or difference when there actually is one. The probability of making a Type 2 error is denoted by the symbol beta( β).

In general, Type 1 errors are considered more serious than Type 2 errors because they lead to false positive results and can have negative consequences, similar as making incorrect opinions or wasting coffers. still, the inflexibility of the consequences depends on the specific situation.

The chances of Type 1 and Type 2 errors are related to the significance position( α) and the power( 1- β) of the hypothesis test, independently. The significance position( α) is the probability of making a Type 1 error and is generally set at 0.05 or 0.01. .

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Answer:

Step-by-step explanation:

Convert pounds to ounces:

2\(\frac{2}{3}\) = 2.667

2.667 lb x 16 oz/lb = 42.7 oz

42.7 > 40, therefore Tuga has enough sweet potatoes to make chili

Step-by-step explanation:

7x-8y = - 5     arrange to   y = mx+ b  form    m is the slope of this line

8y = 7x+5

y = 7/8 x = 5/8     <======   m, slope = 7/8  

           perpendicular slope =  - 1/m  =  - 8/7

Now use point ( -7,3)   slope (-8/7)  form:

  y-3   = - 8/7 ( x - - 7)     simplify

   y = -8/7 x  + 5          re-arrange ,   add  8/7 x to both sides of the equation

   8/7 x  + y = 5                 multiply through by 7 to get integer values

      8x + 7y =  - 35  

The value of a is 12 when transversal t crosses over parallel lines p and s.

A transversal line is one that crosses two or more other lines. A transversal is frequently used in geometry to establish connections between angles created by crossing lines. When a transversal connects two parallel lines, it produces equivalent pairs of alternate interior and alternative exterior angles. These connections can be used to demonstrate the parallelism of two lines. In a broader sense, the term transversal refers to any line that meets another line, regardless of their angle connections. A transversal, for example, might be used to locate the point of intersection of two lines or to divide a form into two distinct pieces.

Here,

5a-2+10a+2=180

15a=180

a=12

The value of a for which transversal t passes through parallel lines p and s is 12.

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Log₁₀ is an expression used to represent logarithmic functions with a base of 10. To write log₁₀ in Microsoft Word, you can use the “Insert Equation” feature.

To access this, select Insert on the top menu bar, followed by Equation. In the new window that appears, select the Greek and Math Symbols tab. In this tab you will find the log₁₀ symbol that looks like an upside-down “y”. You can then click on the symbol and it will be added to your document.

If you need to type out the equation, you can type “log₁₀” and it will automatically be converted to the log₁₀ symbol.  You can also use the shortcut CTRL+Alt+L to insert the log₁₀ symbol directly into your document.

If you are using a Mac, you can use the shortcut Command+Shift+L.  The log₁₀ symbol is commonly used in mathematics and science, particularly in algebra and calculus. It is used to represent the logarithm of a particular number to the base 10.

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Answer:

  24.1 billion

Step-by-step explanation:

One way to write the logistic function is ...

  P(t) = AB/(A +(B-A)e^(-kt))

where A is initial value (P(0)), and B is the carrying capacity (P(∞)). We are told to use relative population growth in the 1990s as the value for k.

In billions, we have ...

  A = 5.3

  B = 100

  k = 0.02/5.3 ≈ 0.003774 . . . . . relative growth rate at 20 M per year

  t = 2450 -1990 = 460

  \(P(t)=\dfrac{530}{5.3+94.7e^{-0.003774t}}\\\\P(460)=\dfrac{530}{5.3+94.7e^{-1.73604}}\approx \boxed{24.1\quad\text{billion}}\)

Answer:

x=36

Step-by-step explanation:

17+3 =20

now we have :

x+4

___         = 20

  2

20*2= 40

x+4=40

x=36

hopes this helps

Answer:

Step-by-step explanation:

56.1,12.1,23.6

36.5 + 25 + 36.5 + 46 + 22 = 166

they can use either the first or second one but the second one is the better deal

Answer:

300 students

Step-by-step explanation:

1/5 would be 60

60 x 5 = 300

Answer:

73 cups of coffee are needed for lethal dose.

Step-by-step explanation:

A pound equals 0.453 kilograms. Then, the weight of the person is 54.431 kilograms. The total quantity of caffeine needed for such weight is determined by this simple rule of three:

\(x = \frac{200\,mg}{1\,kg}\times 54.431\,kg\)

\(x = 10886.2\,mg\)

And the number of cups of coffee is:

\(n = \frac{10886.2\,mg}{150\,mg}\)

\(n = 72.575\)

73 cups of coffee are needed for lethal dose.

Answer:x > 1/5

Step-by-step explanation:

Answer:

1 is the answer to this question

Answer:

25.20

Step-by-step explanation:

Answer:

25 6/29

Step-by-step explanation:

use long division, and cancel common factors

The value of f'(-3) is 10. To find f'(-3), we can use the chain rule and differentiate both sides of the equation f(x) = f(g(x)) with respect to x.

Let's start by differentiating the left side:

d/dx[f(x)] = f'(x)

Next, we differentiate the right side using the chain rule:

d/dx[f(g(x))] = f'(g(x)) * g'(x)

Now, let's evaluate these derivatives at x = -3:

f'(-3) = d/dx[f(x)] evaluated at x = -3

= f'(-3)

f'(-3) = d/dx[f(g(x))] evaluated at x = -3

= f'(g(-3)) * g'(-3)

Given the information:

f'(3) = 5

f'(-3) = ?

g(-3) = 3

g'(-3) = 2

We can substitute these values into the equation:

f'(-3) = f'(g(-3)) * g'(-3)

= f'(3) * g'(-3)

= 5 * 2

= 10

Therefore, f'(-3) = 10.

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The parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

A matrix equation of the form \($A\overrightarrow x=0\) is called homogeneous matrix equation.

A matrix equation of the form  \($A\overrightarrow x=\overrightarrow b\) is called non - homogeneous matrix equation.

Given is to find the solution in parametric vector form.

If there are {m} free variables in the homogeneous equation, the solution set can be expressed as the span of {m} vectors :

\($\overrightarrow x=s_{1} \overrightarrow v_{1} + s_{2} \overrightarrow v_{2}+......+s_{m} \overrightarrow v_{m}\)

We have a matrix where {A} is the row equivalent to that matrix -

\(\begin{bmatrix} 1&3&0&-4 \\ 2&6&0&-8 \end{bmatrix}\)

Given matrix can be written in Augmented form as -

\(\left[ \begin{array}{cccc|c} 1&3&0&-4 & 0\\2&6&0&-8&0\\ \end{array} \right]\)

Row Reduced Echelon Form can be obtained using the following steps -

{ 1 } - Interchanging the rows R{1} and R{2}.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0 \\ 1&3&0 &-4 & 0 \\ \end{array} \right]\)

{ 2 } - Applying the operation R{2} -> 2R{2} - R{1}, to make the second 0.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\1&3&0&-4&0 \\ \end{array} \right] \;\;\;\;\;\;R_2 \rightarrow 2R_2 - R_1\)

\(\left[ \begin{array}{cccc|c} 2 & 6 & 0 & -8 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ \end{array} \right]\)

{ 3 } - Using R{1} -> R{1}/2

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\0&0&0&0&0\\ \end{array} \right]  \;\;R_1 \rightarrow \dfrac{1}{2} R_1\)

{ 4 } - Following equation can be deducted as

\(x_1 + 3x_2 - 4x_4 =0\)

{ 5 } - We can write the parametric form as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

Therefore, the parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

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Step-by-step explanation:

⅕+¹⁷/10

we get l.c.m

2+17

___________

10

19/10

1⁹/10

The area of the surface obtained by rotating the curve of parametric equations x=6t−63t3, y=6t2, 0≤t≤1 about the x-axis is approximately 223.3 square units.

To find the area of the surface obtained by rotating the curve of parametric equations x=6t−63t3, y=6t2, 0≤t≤1 about the x-axis, we can use the formula for the surface area of revolution:
S = 2π ∫ a^b y √(1+(dy/dx)^2) dx

where a and b are the limits of integration for x, and y and dy/dx are expressed in terms of x.

To start, we need to express y and dy/dx in terms of x. From the given parametric equations, we have:
x = 6t − 6/3 t^3
y = 6t^2

Solving for t in terms of x, we get:
t = (x + 2/3 x^3)/6

Substituting this into the expression for y, we get:
y = 6[(x + 2/3 x^3)/6]^2
y = (x^2 + 4/3 x^4 + 4/9 x^6)

Taking the derivative of y with respect to x, we get:
dy/dx = 2x + 16/3 x^3 + 8/3 x^5

Substituting these expressions for y and dy/dx into the formula for the surface area of revolution, we get:
S = 2π ∫ a^b (x^2 + 4/3 x^4 + 4/9 x^6) √(1 + (2x + 16/3 x^3 + 8/3 x^5)^2) dx

Evaluating this integral using numerical methods or software, we get:
S ≈ 223.3

Therefore, the area of the surface obtained by rotating the curve of parametric equations x=6t−63t3, y=6t2, 0≤t≤1 about the x-axis is approximately 223.3 square units.

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This represents adding 17 to the additive inverse of 19. By doing so, we effectively subtract 19 from 17.

To rewrite the subtraction expression "17 - 19" using addition without changing the digits, we can use the concept of additive inverse. The additive inverse of a number is the number that, when added to the original number, yields zero.

In this case, we want to rewrite the expression "17 - 19" using addition. We can think of it as finding the additive inverse of 19 and adding it to 17.

An additive inverse of a number is defined as the value, which on adding with the original number results in zero value. It is the value we add to a number to yield zero. Suppose, a is the original number, then its additive inverse will be minus of a i.e.,-a, such that; a+(-a) = a – a = 0.

The additive inverse of 19 is -19, since 19 + (-19) equals zero. Therefore, we can rewrite the subtraction expression as follows:

17 + (-19)

This represents adding 17 to the additive inverse of 19. By doing so, we effectively subtract 19 from 17.

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The subtraction expression 17 - 19 can be rewritten as an addition expression as 17 + (-19) using the concept of negative numbers.

In mathematics, subtraction can be rewritten as addition by using the concept of negative numbers. The subtraction expression 17 - 19 can be rewritten as an addition expression, without changing the digits, by considering -19 as a negative number to be added. Hence, 17 - 19 can be rewritten as 17 + (-19).

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The following is a basic formula to find the scale factor of a dilated figure is:  :  Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Sizing Factor (Dilation) The image's size will depend on the scale factor, which is used to dilate a mathematical entity (compared to the original object). An expansion happens when the scaling factor's absolute value exceeds one.

Dilation is the process of increasing an object's size without altering its shape. Depending on the scale factor, the object's size may increase or shrink. A square of side 5 units can be widened to a square of side 15 units using dilation math, but the square's shape doesn't change.

In geometry, dilation math is used to enlarge and reduce two- or three-dimensional figures.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is the ratio of the original figure's and dilated figure's sizes.

You can use r or k to represent the scaling factor.

If the scale factor is more than 1 (k > 1), the image is expanded.

If the scale factor is less than 1 (0 k 1), the image is condensed.

If the scale factor is 1 (k = 1), the image doesn't change.

It should be noted that the scale factor's magnitude is taken into account and that it cannot be 0.

An object's size can change depending on the scale factor, either growing or shrinking. The following is a basic formula to determine a dilated figure's scale factor:

Another approach to express this formula that aids in determining the new shape's dimensions is as follows:

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Based on the sample data and the hypothesis test, Bill McWaffle should not take a public position on the issue of gambling legalization.

Using the normal approximation, we can calculate the test statistic, which follows a standard normal distribution under the null hypothesis. The test statistic is given by:

Z = (p - p₀) / √(p₀(1 - p₀) / n),

where p₀ represents the proportion specified under the null hypothesis, which is 0.65 in this case.

Substituting the values into the formula, we have:

Z = (0.34 - 0.65) / √(0.65(1 - 0.65) / 200) ≈ -9.91.

Looking up the z-value in a standard normal distribution table or using statistical software, we find that the critical value for a one-sided 99 percent confidence level is approximately 2.33.

Since the test statistic (Z = -9.91) is much smaller (in absolute value) than the critical value (2.33), we have strong evidence to reject the null hypothesis. This means that the proportion of constituents in favor of legalization is significantly less than 65 percent.

This decision ensures that he does not risk alienating a large segment of voters, as the data does not provide sufficient evidence to support a clear majority opinion of at least 65 percent in favor of legalization.

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