Which of the following is NOT an equation?1. 5(2x+1)=10x+52. 4x-13. 5+3=104. x/2+1=7

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

B, D, F

Yes, this is the answer

Answer:20%

Step-by-step explanation

When you multiply 64x100, you'd get 6400. Then you divide that by 80, you get 80. And when you have 80/100, you have 20 left out of the 100. So it is 20%.

Answer:

The Yankees lost 20% of their games.

Step-by-step explanation:

We need to find the percentage of what games the Yankees lost.

=========================================

We need to figure out what percentage of 64 is part of 80 (the winning percentage) first.

We would have to divide 64 by 80 and the multiply the quotient by 100.

\(\frac{64}{80} = 0.8 * 100 = 80\%\)

The Yankees won 80% of the games.

=========================================

To find the losing percentage we have to subtract 80% from the 100% of the games.

100% - 80% = 20%

The Yankees lost 20% of the games.

=========================================

Hope this helps!

Answer: C 14h + 30 = 240

Step-by-step explanation:

He gets paid 14 dollars an hour at his job, but we do not know how many hours he has worked this week, so we use the variable, h. He also gets a bonus of 30 dollars each week. SO the equation should be 14h + 30= 240. You can also solve for h using this information: First subtract 30 from 240= 210, and then divide that by 14 and you get h= 15

Answer:

Step-by-step explanation:

Given that:

Number of Large Marbles = 14

Number of Small Marbles = 11

Number of Green large marbles = 8

Number of White small marbles = 5

We can now find the number of white large marbles and green small marbles from the information stated above.

No of white large marble = total large marble minus green large marble

= 14-8

= 6

No of green small marbles = Total small marbles minus white small marble.

= 11-5

= 6

Let the following be represented

( X,Y, Z,Q ) as follows:

Let Y be the event of drawing small marble

Let X be the event of drawing large marble

Let Q be the event of drawing white marble

Let Z be the event of drawing green marble.

Since, only one marble is drawn at a time we calculate,

P( X ) = 14/25

P( Y) = 11/25

P(Z) = 14/25

P( Q) = 11/25

P(Y∪Q)=P(Y)+P(Z)−P(Y∩Z)...(1)

We need to find the value of

P(Y∩Z)

In 11 small marbles there are 6 green marbles so the value of P(Y∩Z) is given by P(Y∩Z)=6/11

Therefore, substitute the values in equation 1.

P(Y∪Z)=P(Y)+P(Z)−P(Y∩Z)=11/25+14/25-

6/11

=0.44+0.56−0.5455

= 1-0.5455

= 909/2000

= 0.4545

Then, one can conclude that the probability of drawing a small or green marble is 0.4545

The graph of the solution to the given inequality on the number line plotted is attached.

Inequalities are the mathematical expressions in which both sides are not equal.

In inequality, unlike in equations, we compare two values.

The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is q < 69.5​.

The result can be shown in multiple forms.

Inequality Form:q<69.5

Interval Notation:(−∞,69.5)

Therefore, the graph the solution to the given inequality on the number line plotted below.

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Answer:

9 months

Explanation:

3 times 3 is nine

If one quarter is 3 months. 3 of these quarters would have 9 months all together.

Answer:

31°

Step-by-step explanation:

α = ß = 31°

Answer:K=-2

Step-by-step explanation:

becuase you do the opposite of +9 which is -9 and you do 7-9 which is -2 so K=-2

Answer:

Hope you can understand my handwriting though

Answer:

The first type of solid shapes to be discovered are known as Platonic solids, which include the cube, the tetrahedron, the octahedron, the dodecahedron, and the icosahedron

well, the interest is going to be the increase factor on both cases, so we can simply check how much each will accumulate to in those 4 years

\(~~~~~~ \stackrel{\textit{\LARGE University Bank}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases}\)

\(A = 4000\left(1+\frac{0.05}{4}\right)^{4\cdot 4} \implies A=4000(1.0125)^{16}\implies \boxed{A \approx 4879.56} \\\\[-0.35em] ~\dotfill\)

\(~~~~~~ \stackrel{\textit{\LARGE Rosemont Savings Bank}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &4 \end{cases}\)

\(A = 4000\left(1+\frac{0.055}{2}\right)^{2\cdot 4} \implies A=4000(1.0275)^8\implies \boxed{A \approx 4969.52} ~~ \textit{\LARGE \checkmark}\)

The null and alternative hypotheses can be stated as follows:

c. H0: µ = 12, Ha: µ ≠ 12

The null hypothesis (H0) assumes that the population mean content of the bottles is 12 ounces, indicating perfect adjustment of the filling machine. The alternative hypothesis (Ha) states that the population mean content is not equal to 12 ounces, suggesting that the machine is not in perfect adjustment.

The rejection region for α = 0.01 can be specified as:

c. |t| > 2.68

This means that we would reject the null hypothesis if the absolute value of the calculated t-statistic is greater than 2.68.

To calculate the p-value, we need the t-statistic corresponding to the sample mean and standard deviation. With a sample mean of 11.88 ounces, a standard deviation of 0.35 ounces, and a sample size of 49, we can calculate the t-statistic. The p-value represents the probability of observing a sample mean as extreme as the one obtained, assuming the null hypothesis is true.

The p-value cannot be determined without the t-statistic value or the corresponding degrees of freedom.

Without the p-value, we cannot draw a definitive conclusion. To make a conclusion, we would compare the calculated t-statistic to the critical t-value based on the chosen significance level (α = 0.01). If the calculated t-statistic falls within the rejection region (|t| > 2.68), we would reject the null hypothesis. If the calculated t-statistic falls outside the rejection region, we would fail to reject the null hypothesis.

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Answer:

15/-9

Step-by-step explanation:

Change in y divided by change in x.

(20-5)/(-3-6)

Image uploaded as a reference.

Hope this helps.

Answer:

y = -x -3

Step-by-step explanation:

y value is decreasing which means negative slope

you can use slope formula to find slope

(y2-y1)/(x2-x1) = m

(-4-(-2))/(1-(-1)) = -1

m = -1

you can find y -intercept by plugging in slope and one coordinate into y=mx+b

-2 = -1(-1) + b

b = -3

Answer:

w = 15

Step-by-step explanation:

-9(w + 585) = -360w

-9w -5265 = -360w

351w = 5265

w=15

Answer: D

Step-by-step explanation:

The probability of the coin landing on heads is 50% and the relative frequency of the coin landing on heads is 57%

The sample space of a coin is:

S = {Head, Tail}

The sample size is:

n(S) = 2

The probability of the coin landing on heads is calculated as:

P(Head) = n(Head)/n(S)

So, we have:

P(Head) = 1/2

Express as percentage

P(Head) = 50%

Hence, the probability of the coin landing on heads is 50%

From the question, we have:

Toss = 100

Head = 57

The relative frequency of the coin landing on heads is calculated as:

Frequency = 57/100

Express as percentage

Frequency = 57%

Hence, the relative frequency of the coin landing on heads is 57%

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Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

157.62

Step-by-step explanation:

Answer:

17cm

Step-by-step explanation:

Given that the Volume of a cone is 4,000 cm³. And we need to determine the height of the cone , if the diameter is 30cm .

Diagram :-

\(\setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(17.5,1.6){\sf{15cm }}\put(9.5,10){\sf{17\ cm }}\end{picture} \)

Step 1: Using the formula of cone :-

The volume of cone is ,

\(\rm\implies Volume_{(cone)}=\dfrac{1}{3}\pi r^2h \)

Step 2: Substitute the respective value :-

\(\rm\implies 4000cm^3 =\dfrac{1}{3}(3.14) ( h ) \bigg(\dfrac{30cm}{2}\bigg)^2 \)

As Radius is half of diameter , therefore here r = 30cm/2 = 15cm .

Step 3: Simplify the RHS :-

\(\rm\implies 4000 cm^3 = \dfrac{1}{3}(3.14) ( h ) (15cm)^2\\ \)

\(\rm\implies 4000 cm^3 = \dfrac{1}{3}(3.14) ( h ) 225cm^2\\ \)

Step 4: Move all the constant nos. to one side

\(\rm\implies h =\dfrac{ 4000 \times 3}{ (3.14 )(225 )} cm \\\)

\(\implies \boxed{\blue{\rm Height_{(cone)}= 16.98 \approx 17 cm }}\)

Hence the height of the cone is 17cm .

Answer:

answer and explanation in the pic above

hope it helps

Step-by-step explanation:

what is the question? please provide a question.

Answer:

the line of best fit is line B because it minimizes the VERTICAL distance from each point to the line.

Step-by-step explanation:

edge 2021

Using an algebraic equation to represent the word problem, the smallest integer is 1

This is a way of representing mathematical problems with words. To solve this, we have to use algebraic equations or expressions.

Let the integers be represented as

We can write an equation from the word problem given as

7 × (x + 2) = 15 + [x + (x + 4)]

7x + 14 = 15 + x + x + 4

7x + 14 = 15 + 2x + 4

collect like terms

7x - 2x = 15 - 14 + 4

5x = 5

Divide both sides by coefficient of x

5x / 5  = 5 / 5

x = 1

The smallest integer is 1

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Translation:

Find the smallest of three consecutive odd integers such that 7 times the middle integer is 15 more than the sum of the first and third integers

Answer:

-35, 1493

Step-by-step explanation:

p(x) = 2x⁴ + 3x³ - 9x² + 16x + 13

p(-3) = 2(-3⁴) + 3(-3³) - 9(-3²) + 16(-3) + 13

-3² = 9

-3³ = -27

-3⁴ = 81

p(-3) = 2(81) + 3(-27) -9(9) - 48 + 13

p(-3) = 162 - 81 - 81 -48 + 13

81 + 81 = 162 therefore 162 - 81 - 81 cancels

-48 + 13 = -35

p(5) = 2(5⁴) + 3(5³) - 9(5²) + 16(5) + 13

5² = 25

5³ = 125

5⁴ = 625

p(5) = 2(625) + 3(125) - 9(25) + 80 + 13

p(5) = 1250 + 375 - 225 + 93

p(5) = 1250 + 150 + 93

p(5) = 1493

Step-by-step explanation:

83P (E)=17-17P (E),

P (E)=17/100=0.17

Answer: 9.5 hours

In order to solve this, you must divide his total (80.75) by his hourly wage (8.50) When you do that, you get 9.5, so he worked 9.5 hours

Step-by-step explanation:

There are 1140 different possible ways to select 3 restaurants out of 20 for the promotional program.

Combination and permutation are two alternative strategies in mathematics to divide up a collection of components into subsets. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.The combination formula, which is: can be used to resolve this issue.

n C r = r! * (n-r)!

where r is the number of restaurants to be chosen, and n is the total number of restaurants (20 in this case). (3 in this case).

By replacing these values, we obtain:

20 C 3 = 20! / (3! * (20-3)!) = 20! / (3! * 17!) = (20 * 19 * 18) / (3 * 2 * 1) = 1140

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Complete Question

A newsletter publisher believes that above 41% of their readers own a personal computer. Is there sufficient evidence at the 0.10 level to substantiate the publisher's claim?

State the null and alternative hypotheses for the above scenario.

Answer:

The null hypothesis is  \(H_o : p \le 0.41\)

The  alternative hypothesis  \(H_1 : p> 0.41\)

Step-by-step explanation:

From the question we are told that

      The population proportion is \(p = 0.41\)

        The level of significance is  \(\alpha = 0.10\)

The null hypothesis is  \(H_o : p \le 0.41\)

The  alternative hypothesis  \(H_1 : p> 0.41\)