Tamara uses a coupon to save 20% off her purchase at the bookstore. The original cost of Tamara's purchase is d dollars.
Which expressions represent the cost, in dollars, of Tamara's purchase after using the coupon? Choose all that apply.

Answer:

There is not enough statistical evidence to suggest that the health insurance coverage is independent of the size of the company

Step-by-step explanation:

The given data presented in tabular form is presented as follows;

[tex]\begin{array}{llcr}&Health \ Insurance&\\Size \ of \ Company & Yes &No &Total\\Small&34&16&50\\Medium&61&14&75\\Large&85&15&100\end{array}[/tex]

The null hypothesis, H₀; The two data are independent

The alternative hypothesis Hₐ; The variables are dependent

[tex]Expected \ value = \dfrac{(Row \ total) \times (Column \ total) }{Table \ total}[/tex]

The expected value are the values in parenthesis in the following table;

[tex]\begin{array}{llcr}&Health \ Insurance&\\Size \ of \ Company & Yes &No &Total\\Small&34(40)&16(10)&50\\Medium&61(60)&14(15)&75\\Large&85(80)&15(20)&100\\Total&180&45&225\end{array}[/tex]

[tex]\chi ^2 = \sum{\dfrac{ \left(O_i - E_i \right)^2}{E_i}[/tex]

Therefore

χ² = (34 - 40)²/40 + (16 - 10)²/10 + (61 - 60)²/60 + (14 - 15)²/15 + (85 - 80)²/80 + (15 - 20)²/20 ≈ 6.1458

The degrees of freedom = (2 - 1)·(3 - 1) = 2

The p-value from the Chi-square table is 0.05 < p-value < 0.01

Given that the p-value is larger than the significant value, we have that data is not statistically significant and we fail to reject the null hypothesis.

Therefore, the health insurance coverage is independent of the size of the company

Answer:

-4

Step-by-step explanation:

If the lines are parallel, then they have the same slope.

If the green line has a slope of -4, then the red line has a slope of -4

Given:

Summation problem is:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

To find:

The properties or formulas must be used to evaluate the given summation.

Solution:

We have,

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

In can be rewritten as:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}(n^3+n)[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}n^3+\sum\limits_{n=1}^{35}n[/tex]        [tex]\left[\because \sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(35+1)}{2}\right]^2+\dfrac{35(35+1)}{2}[/tex]  [tex]\left[\because \sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(36)}{2}\right]^2+\dfrac{35(36)}{2}[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[630\right]^2+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=396900+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=397530[/tex]

Therefore, the properties and formula used are:

[tex]\sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i,\\\sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\\\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2[/tex]

Answer: see attachment below

Step-by-step explanation:

Answer:

- 2

Step-by-step explanation:

Given :

Point A = (-1, 4)

Point B = (1, 0)

x2 = - 1 ; y2 = 4 ; x1 = 1 ; y1 = 0

Rise = (y2 - y1) = 4 - 0 = 4

Run = (x2 - x1). = - 1 - 1 = - 2

Slope = Rise / Run = 4 / - 2 = - 2

The slope, m = - 2

Answer:

BC

Step-by-step explanation:

BECAUSE BC IT'S EQUAL TO EF

Answer:

B. BC

Step-by-step explanation:

By SSS rule in ∆ ABC and DEF,

Answer:

[tex]\% Low = 30 \%[/tex]

Step-by-step explanation:

Given

[tex]Total = 340g[/tex] -- missing

[tex]Low = 102g[/tex]

Required

% of sugar in Low

This is calculated as:

[tex]\% Low = \frac{Low}{Total} * 100\%[/tex]

So, we have:

[tex]\% Low = \frac{102g}{340g} * 100\%[/tex]

[tex]\% Low = \frac{102}{340} * 100\%[/tex]

[tex]\% Low = \frac{10200}{340} \%[/tex]

[tex]\% Low = 30 \%[/tex]

Compare to the divergent series,

[tex]\displaystyle\sum_{n=1}^\infty\frac1n[/tex]

Then by the limit comparison test, the given series also diverges, since the limit

[tex]\displaystyle\lim_{n\to\infty}\frac{\frac{2n^5-1}{n^6+1}}{\frac1n} = \lim_{n\to\infty}\frac{2n^6-n}{n^6+1}=\lim_{n\to\infty}\frac{2-\frac1{n^5}}{1+\frac1{n^6}}=2[/tex]

is positive and finite.

Answer:

x = 12

Step-by-step explanation:

x^2 + (x - 7)^2 = (x + 1)^2

x^2 + x^2 - 14x + 49 = x^2 + 2x + 1

x^2 - 16x + 48 = 0

(x - 4)(x - 12) = 0

x - 4 = 0 or x - 12 = 0

x = 4 or x = 12

One side has length x - 7.

For x = 4, x - 7 = 4 - 7 = -3.

Since a side of a triangle cannot have a negative length, x = 4 must be discarded.

Answer: x = 12

Answer:

y ≤ 5

Step-by-step explanation:

5 is the highest y value in this graph. All other y values are below 5.

Answer:

A=B=C... wouldn't both B and C be equal to A? Also I can't see the statements.

Answer:

a) x = 4

b) x = 8

c) y = -7

d) y = -10

Step-by-step explanation:

Solve by substitution on all

a)

3x + 2y = -5

3x +2 * -17/2 = -5

3x - 17 = -5

3x = -5+17

3x = 12

x = 12/3

x = 4

Answer:

Ida makes $ 6960 in 5 weeks.

Step-by-step explanation:

Let the profit of the first week is p.

p = $ 600

Total profits of the five weeks

= p + (p + 0.15p) + (p + p +0.15 p) + (p + p + p + 0.15 p) + (p + p + p + p + 0.15 p)

= 11 p + 0.6 p

= 11 x 600 + 0.6 x 600

= 6600 + 360

= $ 6960

So, Ida makes $ 6960 in 5 weeks.

Answer:

126cm^2

Step-by-step explanation: brainliest pleaseeee!!!!

Answer:

4p² - 9p

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

3p(2p - 9) - 2p(-9 + p)

Step 2: Simplify

Answer:

y = 5/4x - 18

Step-by-step explanation:

The slope, intercept form of a straight line is;

y = bx + c

Where, y = slope, given as 5/4

(x, y) is given as ; (8, - 8)

Hence, we need to obtain the value of c, which is the intercept.

x = 8 ; y = - 8

-8 = 5/4x + c

-8 = 5/4(8) + c

-8 = 10 + c

-8 - 10 = c

-18 = c

Hence, equation becomes ;

y = 5/4x - 18

Answer:

a=-4

Step-by-step explanation:

See image below:)

Answer:

1 / 1365

Step-by-step explanation:

Given that :

Number of employees to choose from = 15

Number of employees to be chosen = 4

Probability of choosing You, Kyle, Carol and Adam

Recall ;

P(A) = number of required outcome / Total possible outcomes

Number of required outcome = 4C4

Total possible outcomes = 15C4

nCr = n! ÷ (n-r)!r!

Using calculator to save computation time :

15C4 = 1365

4C4 = 1

P(choosing you, Kyle, Carol and Adam) :

1 / 1365

Answer:

13 cars per day

Step-by-step explanation:

64 - 51 = 13 cars per day

hope it helps

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 4.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The approximate circumference of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:≈\:25.13.}[/tex]

2.) 25.13 ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]

[tex] = 2 \times \frac{22}{7} \times 4 \\ \\ = \frac{176}{7} \\ \\ = 25.14[/tex]

Therefore, the circumference of the circle is ≈ 25.13.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

9514 1404 393

Answer:

  А. Зп > 9

Step-by-step explanation:

The inequality of A may or may not be true. (It is true only if n > 3.) All of the others are definitely false.

Answer:

The confidence interval has an lower limit of [tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex] and an upper limit of [tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex], in which [tex]\pi[/tex] is the sample proportion and [tex]n[/tex] is the size of the sample.

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].

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The confidence interval has an lower limit of [tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex] and an upper limit of [tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex], in which [tex]\pi[/tex] is the sample proportion and [tex]n[/tex] is the size of the sample.

Answer:

P(a pair with matching cards in different suits) = 1/52

Step-by-step explanation:

We are told that there are 4 suites and each suit has 13 different cards. This is a total of 52 cards.

Thus;

Probability of selecting one card of a particular suit = 13/52 = 1/4

If we now want to select a matching card of another suit without replacing the first one, then, we now have; 52 - 13 = 39 cards. Now, there are only 3 matching cards of the 3 remaining suits that is same as the first card drawn.

Thus; probability = 3/39 = 1/13

Thus;

P(a pair with matching cards in different suits) = 1/4 × 1/13

P(a pair with matching cards in different suits) = 1/52

[tex]\huge\bf{\color{Green}{Question:}}[/tex]

[tex]\huge\bf{\color{orange}{Solution:}}[/tex]

Volume of the solid given = Volume of the small cone + Volume of the large cone.

[tex]\sf{V(solid)=V(small)+V(large)}[/tex]

[tex]\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3}π(5)²7+\frac{1}{3}π(5)²11}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(7+11)}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(18)}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=150π}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:≈{\color{magenta}{471.2 in³}}}[/tex]

#Hope it helps you, mate!

(*°∀°)=3

Answer:

17/k

Step-by-step explanation:

Quotient means division

17/k

Answer:

Step-by-step explanation:

Quotient means a result obtained by dividing one quantity by another.

Step-by-step explanation: La Noche Triste (Spanish for "The Sad Night") was a famous battle between the Spanish conquistadors and the Aztecs, a native people of Mexico. ... Between 400 and 800 Spanish soldiers were killed or captured. Between 2,000 and 4,000 native Mexican allies of the Spanish were killed or captured.

Location: Tenochtitlan

End date: July 1, 1520

Date: June 30

Answer:  was a famous battle between the Spanish conquistadors and the Aztecs, a native people of Mexico. Between 400 and 800 Spanish soldiers were killed or captured. Between 2,000 and 4,000 native Mexican allies of the Spanish were killed or captured.

Step-by-step explanation:

Answer:

[tex]3 + \frac{1}{2\sqrt{3} } + \frac{1}{5\sqrt[5]{81} }[/tex]

Step-by-step explanation:

Just to make it easier to see, [tex]\sqrt{x} = x^{\frac{1}{2} }[/tex] and [tex]\sqrt[5]{x} = x^{\frac{1}{5} }[/tex]  This way we could more easily use the power rule of derivatives.

So if f(x) = [tex]x^{2} +x^{\frac{1}{2} } +x^{\frac{1}{5} }[/tex] then f'(x) will be as follows.

f'(x) = [tex]x^{1} +\frac{1}{2} x^{-\frac{1}{2} } +\frac{1}{5} x^{-\frac{4}{5} } = x +\frac{1}{2x^{\frac{1}{2} }} +\frac{1}{ 5x^{\frac{4}{5} }} = x +\frac{1}{2\sqrt{x}} +\frac{1}{ 5\sqrt[5]{x^4} }[/tex]

to find f'(3) just plug 3 into f'(x) so [tex]3 + \frac{1}{2\sqrt{3} } + \frac{1}{5\sqrt[5]{81} }[/tex]

Answer:

182+78+42=302 ... 302's ya answer...Give me brainiest answer to say ty! :)

Step-by-step explanation:

Answer:

fraction is 75/100

decimal is 0.75

Step-by-step explanation:

because there are 75 of them that are shaded out if 100 so 75/100 and to find out in decimal 75÷100=0.75.

hope this helps u understand:)

Answer:

323 : 7

Step-by-step explanation:

[ ( 315 + 6 ) + 2 ] : 7

[ 321 + 2 ] : 7

323 : 7