A local hamburger shop sold a combined total of 393 hamburgers and cheeseburgers on Thursday. There were 57 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday? ​

9514 1404 393

Answer:

  x = -7, 5

Step-by-step explanation:

The equation is written as a product equal to zero. The "zero product rule" tells us that a product is zero if and only if one or more factors are zero. Each factor will be zero when x takes on a value equal to the opposite of the constant in that factor.

  x -5 = 0   ⇒   x = 5

  x +7 = 0   ⇒   x = -7

The solutions to the equation are x = -7, 5.

Answer:

P(66.4 < X < 241.6) = 0.5039 = 50.39%.

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.

A distribution of values is normal with a mean of 232.4 and a standard deviation of 92.2.

This means that [tex]\mu = 232.4, \sigma = 92.2[/tex]

Find the probability that a randomly selected value is between 66.4 and 241.6.

This is the p-value of Z when X = 241.6 subtracted by the p-value of Z when X = 66.4.

X = 241.6

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

[tex]Z = \frac{241.6 - 232.4}{92.2}[/tex]

[tex]Z = 0.1[/tex]

[tex]Z = 0.1[/tex] has a p-value of 0.5398

X = 66.4

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

[tex]Z = \frac{66.4 - 232.4}{92.2}[/tex]

[tex]Z = -1.8[/tex]

[tex]Z = -1.8[/tex] has a p-value of 0.0359

0.5398 - 0.0359 = 0.5039

P(66.4 < X < 241.6) = 0.5039 = 50.39%.

Answer:

The sample size is of 366.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A preliminary sample showed that 30.0% of the families in this sample own this company's product.

This means that [tex]\pi = 0.3[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The sample size that would limit the margin of error to be within 0.047 of the population proportion is:

This is n for which [tex]M = 0.047[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.047 = 1.96\sqrt{\frac{0.3*0.7}{n}}[/tex]

[tex]0.047\sqrt{n} = 1.96\sqrt{0.3*0.7}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.3*0.7}}{0.047}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3*0.7}}{0.047})^2[/tex]

[tex]n = 365.2[/tex]

Rounding up:

The sample size is of 366.

Answer:

ADH

Step-by-step explanation:

The back of the box is AEDH  ( points on the corners)

You need 3 points to name a plane that are not in a line

ADH is one name

ADE is another name

Answer:

D.   (-2, 0) and (3, 0).

Step-by-step explanation:

At the x -intercepts the function = 0, so

(2x + 4)(x - 3) = 0

2x + 4 = 0 and x - 3 = 0

x = -4/2 = -2 and x = 3.

So they are (-2, 0) and (3, 0).

x = 3 or x = -2

Step-by-step explanation:

f(x) = (2x + 4)(x - 3)

y = (2x + 4)(x - 3)

x - intercept occurs when y = 0

0 = (2x + 4)(x - 3)

0 = 2x² - 6x + 4x - 12

2x² - 2x - 12 = 0

(2x² - 2x - 12)/2 = 0/2

x² - x - 6 = 0

From the quadratic formula,

x = (-b +- √(b² - 4ac))/2a

x = (- ( -1 ) +- √(( -1)² - 4( 1 )( -6 )))/2( -1 )

x = (1 +- √(1 - ( -24)))/-2

x = (1 +- √25)/-2

x = (1 +- 5)/-2

x = 3 or x = -2

Answer:

3900

Step-by-step explanation:

let x= number of workers

we know that .15 (or 1-.85) of the people are not women

so

.15x=585

585/.15=x

3900=x

Answer:

16.9177%  or .169177

Step-by-step explanation:

Binomial i think

10C4*.54⁴*(1-.54)⁶= 16.9177%

The probability that exactly 4 of the 10 Coffleton residents recognize the brand bis 16.9177%  or .169177

Once the sequence of the results is irrelevant, combinations can be used to determine the overall number of effects of an event. The nCr algorithm, where n represents the number many items and r is the host of factors getting picked at a time, is used to compute combinations.

The information provided will be:

54% recognition rate in the town of Coffleton

He selects a random sample of 10 Coffleton residents

the probability that exactly 4 of the 10

will be found out with the help of the combination

[tex]^nC_r = n! / r! \times (n - r)![/tex]

[tex]^10C_ 4\time 0.54^4 \times (1-.54)^6[/tex]

= 16.9177%

The probability will be 16.9177%.

Learn more about combinations, here:

https://brainly.com/question/20211959

#SPJ2

Answer:

Step-by-step explanation:

[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} [/tex]

[tex] = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} [/tex]

[tex] = 9 \sqrt{2} (ans)[/tex]

Answer:

[tex]Volume \ of \ other\ cylinder = 176 \ cm^3[/tex]

Step-by-step explanation:

Let the volume of cylinder Vₐ = 44cm³

Let radius of cylinder " a " be = rₐ

Let height of  cylinder " b" be = hₐ

     [tex]Volume_a = \pi r_a^2 h_a\\\\44 = \pi r_a^2 h_a[/tex]

Given cylinder " b ", Radius is twice cylinder " a " , that is [tex]r_b = 2 r_a[/tex]

Also Height of cylinder " b " is same as cylinder " a " , that is [tex]h_b = h_a[/tex]

       [tex]Volume_b = \pi r_b^2 h_b[/tex]

                     [tex]= \pi (2r_a)^2 h_a\\\\=4 \times \pi r_a^2 h_a\\\\= 4 \times 44\\\\= 176 \ cm^3[/tex]

Answer:

0.324

Step-by-step explanation:

Given that :

Success rate = 30%

p = 30% = 0.3

q = 1 - p = 1 - 0.3 = 0.7

Number of trials, n = 6

Probability of having exactly 2 successes ; x = 2

P(x = 2)

Usibgbtge binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 2) = 6C2 * 0.3^2 * 0.7^4

P(x = 2) = 15 * 0.3^2 * 0.7^4

P(x = 2). = 0.324135

P(x = 2) = 0.324

Answer:

AB^2- AC.

Step-by-step explanation:

I'm not sure if this question is complete, but when two separate variables are placed in brackets side by side, then it means they need to be expanded.

Therefore, expanding the bracket gives us:

(AB) (B-C)=

AB^2- AC.

This is the answer, if the only task needed is to expand the brackets.

Trường công nghiệp hả:’)

Answer:

lleva 10 000 tornillos un contenedor

Step-by-step explanation:

Answer:

Conjecture :  2xy / ( x + y ) ≤  √xy

Step-by-step explanation:

Harmonic mean of  x and y = 2xy/( x + y )

Formulate a conjecture about their relative sizes

we will achieve this by computing harmonic and geometric means

Geometric mean = √xy

harmonic mean = 2xy/( x + y )

Conjecture :  2xy / ( x + y ) ≤  √xy

attached below is the proof

Answer:

62

Step-by-step explanation:

t=digit in the tens place

u=digit in the units place

t=3*u

original number=t*10+u

number with reversed digits=u*10+t

u*10+t=t*10+u-36

u*10+(3*u)=(3*u)*10+u-36

10u+3u-30u-u=-36

-18u=-36

u=2

t=3*u=6

Original number = 62

Check the solution:

6=3*2 ok

26=62-36 ok

I think it's: 4,674.14$

Answer:

A = $4724.36

Step-by-step explanation:

P = $3500

r = 7.5% = 0.075

t = 4years

n = 365

     [tex]A = P(1 + \frac{r}{n})^{nt}\\\\[/tex]

        [tex]=3500(1 + \frac{0.075}{365})^{365 \times 4}\\\\=3500(1.00020547945)^{365\times4}\\\\= 3500 \times 1.34981720868\\\\= 4724.36023037\\\\= \$ 4724.36[/tex]

Answer:

Step-by-step explanation:

Answer:

25 liters of 20%

50 liters of 50%

Step-by-step explanation:

x = liters of 50%

75 - x = liters of 20%

50x + 20(75 - x) = 40(75)

50x + 1500 - 20x = 3000

30x = 1500

x = 50

75 - x = 25

Answer:

Location of W is - 23, location of X is - 9.

Step-by-step explanation:

location of V = - 16

Points W and X are each 7 units away from Point V.

Let the W is at left of V and X is right of V.

location of W = -16 - 7 = - 23

location of X = - 16 + 7 = - 9

Answer:

b. Independent variable

Step-by-step explanation:

Understanding the definition of variables is necessary to grasp the notion of independent and dependent variables. The attributes or sorts of features of specific occurrences or things are specified as variables.

Independent variables are variables that are modified or altered by researchers and the consequences of these modifications are evaluated and compared. 

The term dependent variable relates to a sort of variable that assesses how the independent variable(s) impact the test results.

From the given information:

Education level is the predictor since we understand that nurses' education levels are closely correlated with their cultural competence scores. By applying the concept of the logistic regression model and using education level as an independent variable(predictor), we can simply predict their cultural competency. Thus, cultural competency is measured by using the independent variable.

Step-by-step explanation:

→ Number of cars Roger has = m

→ Number of cars Don has = 2(Cars Roger has)

→ Number of cars Don has = 2m

→ Number of cars Larry has = 5 + (Cars Roger has)

→ Number of cars Larry has = 5 + m

Answer:

do you mean scientific notation ?

2.097152 x [tex]10^{6}[/tex]

Step-by-step explanation:

maybe 28 is the answer...

Answer:

8/3

Step-by-step explanation:

2/ (3/4) = 2*4/3 =8/3

Answer:

[tex]\cos(2\, x) = 1 - 2\, (\sin(x))^2[/tex].

Step-by-step explanation:

Angle sum identity for cosine: [tex]\cos(a + b) = \cos(a) \, \cos(b) - \sin(a) \, \sin(b)[/tex].

Pythagorean identity: [tex](\cos(a))^{2} + (\sin(a))^{2} = 1[/tex] for all real [tex]a[/tex].

Subtract [tex](\cos(x))^{2}[/tex] from both sides of the Pythagorean identity to obtain: [tex](\sin(a))^{2} = 1 - (\cos(a))^{2}[/tex].

Apply angle sum identity to rewrite [tex]\cos(2\, x)[/tex].

[tex]\begin{aligned}&\cos(2\, x)\\ &= \cos(x + x) \\ &= \cos(x) \, \cos(x) - \sin(x)\, \sin(x) \\ &= (\cos(x))^{2} + (\sin(x))^{2}\end{aligned}[/tex].

[tex](\sin(a))^{2} = 1 - (\cos(a))^{2}[/tex] follows from the Pythagorean identity. Hence, it would be possible to replace the [tex](\cos(x))^{2}[/tex] in the previous expression with [tex](1 - (\sin(x))^{2})[/tex].

[tex]\begin{aligned}&(\cos(x))^{2} - (\sin(x))^{2}\\ &= \left[1 - (\sin(x))^{2}\right] - (\sin(x))^{2} \\ &= 1 - 2\, (\sin(x))^{2} \end{aligned}[/tex].

Conclusion:

[tex]\begin{aligned}&\cos(2\, x) \\ &= (\cos(x))^{2} + (\sin(x))^{2} \\ &=1 - 2\, (\sin(x))^{2}\end{aligned}[/tex]

9514 1404 393

Answer:

  B.  1/2

Step-by-step explanation:

Maybe you want  the solution to ...

  [tex]9^x-1=2[/tex]

You can use logarithms, or your knowledge of powers of 3 to solve this.

  [tex]9^x=3\qquad\text{add 1}\\\\3^{2x}=3^1\qquad\text{express as powers of 3}\\\\2x=1\qquad\text{equate exponents of the same base}\\\\\boxed{x=\dfrac{1}{2}}\qquad\text{divide by 2}[/tex]

Using logarithms, the solution looks like ...

  [tex]x\cdot\log{9}=\log{3}\\\\x=\dfrac{\log{3}}{\log{9}}=\dfrac{1}{2}[/tex]

Answer:

Part 1)

5.5 inches.

Part 2)

[tex]y=-2.5t+18[/tex]

Step-by-step explanation:

We can write a linear equation to model the function.

Let y represent the inches of snow and let t represent the number of hours since the end of the snowstorm.

A linear equation is in the form:

[tex]y=mt+b[/tex]

Since there was 18 inches of snow in the beginning, our y-intercept or b is 18.

Since it melts at a constant rate of 2.5 inches per hour, our slope or m is -2.5.

Substitute:

[tex]y=-2.5t+18[/tex]

This equation models how much snow Jamal will have on his lawn after t hours of snow melting.

So, after five hours, t = 5. Substitute and evaluate:

[tex]y=-2.5(5)+18=5.5\text{ inches}[/tex]

After five hours, there will still be 5.5 inches of snow.

Answer:

55%

Step-by-step explanation:

18 out of 40 include chili.

So 22 has no chili

22/40 = 0.55 or 55%