which system of equations is represented by this graph?

Answer:

500.85 to 519.15

Step-by-step explanation:

The computation is shown below;

The z value for the 98% confidence interval is 2.33

Now the margin of error is

= (z × standard deviation) ÷ √n

= (2.33 × 36) ÷ √87

= (83.88 ) ÷ √87

= 83.88 ÷ 9.327379

= 8.99

= 9

Now The confidence interval mean is

= (510 - 9) (510 +9)

= (501) ; (519)

Answer:

Combination with repetition

Step-by-step explanation:

This is a combination since the order in which Jackson purchases the fruit does not matter. Repetition is allowed (he’s at the store so he can buy as many as he wants).

The number of different collections of fruit can he choose should be considered when there is Combination with repetition

Since he can buy any 3 fruit (the store sells apples, oranges, pears, bananas, strawberries,blueberries, and kiwis)

So here it is the combination because the order where Jackson buy the fruit should not matter. Also, the repetition should be allowed that means he buy as he needs.

Therefore, the first option is correct.

Learn more about number here: https://brainly.com/question/14650093

Answer:

A

Step-by-step explanation:

Answer:

The equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 is  [tex]\mathbf{y=-\frac{5}{4}x+3}[/tex]

Step-by-step explanation:

We need to write an equation of the line that passes through the point (8,-7) and is parallel to the line 5x+4y=16.

The equation will be of form [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Finding slope of the line:

Since both the lines are parallel, and we know that parallel lines have same slope.

The slope of given line [tex]5x+4y=16[/tex] can be found by writing in slope-intercept form [tex]y=mx+b[/tex]

[tex]5x+4y=16\\4y=-5x+16\\y=-\frac{5}{4}x+16[/tex]

Comparing with [tex]y=mx+b[/tex] the slope m is: [tex]m=-\frac{5}{4}[/tex]

So, the slope of required line is: [tex]m=-\frac{5}{4}[/tex]

Now, finding y-intercept b

y-intercept can be found using slope [tex]m=-\frac{5}{4}[/tex] and point (8,-7)

[tex]y=mx+b\\-7=-\frac{5}{4}(8)+b\\-7=-5(2)+b\\-7=-10+b\\b=-7+10\\b=3[/tex]

So, we get y-intercept: b=3

Now, the equation of required line having slope [tex]m=-\frac{5}{4}[/tex] and y-intercept b=3 is:

[tex]y=mx+b\\y=-\frac{5}{4}x+3[/tex]

So, the equation of line that passes through the point (8,-7) and is parallel to the line 5x+4y=16 [tex]\mathbf{y=-\frac{5}{4}x+3}[/tex]

Answer:

-51.25

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

trust

Answer:

B i think???

Step-by-step explanation:

Answer:

Since 16.5 is negative, the only way to get that answer is to multiply 5 by something to negative(x)

Step-by-step explanation:

Answer:

p-value = 0.02535

Step-by-step explanation:

From the information given:

For men:

The sample size n₁ = 10

The standard deviation s₁ = 0.2

The sample mean [tex]\bar x _1 =[/tex] 2.9

For women:

The sample size n₂ = 10

The standard deviation s₂ = 0.2

The sample mean [tex]\bar x _2=[/tex] 3.1

Using the pooled variance;

[tex]S_i = \sqrt{\dfrac{s^2_1}{n_1} +\dfrac{s^2_2}{n_2} }[/tex]

[tex]= \sqrt{\dfrac{0.2^2}{10} +\dfrac{0.2^2}{10} }[/tex]

[tex]= \sqrt{0.004+0.004 }[/tex]

[tex]= \sqrt{0.008 }[/tex]

= 0.08944

The z-test statistics is computed as:

[tex]z = \dfrac{\barf x_1 - \bar x_2}{S_i}[/tex]

[tex]z = \dfrac{2.9- 3.1}{0.08944}[/tex]

z = - 2.236

The p-value =  2 × P(Z < -2.236)

From the z table;

p-value = 2 × (0.012675)

p-value = 0.02535

Answer:

(D)

Step-by-step explanation:

is the correct because is 1/2

Answer:

C. 1 1/2

Step-by-step explanation:

Answer:

Fail to reject.

Step-by-step explanation:

For a goodness of fit test the decision rule is:

If the calculated value of the test statistic is more than the right tailed critical value of chi-square, then the null hypothesis will be rejected.

The hypothesis for a goodness of fit test is:

H₀: There is no differences between the observed and expected frequencies.

Hₐ: There is a significant differences between the observed and expected frequencies.

The computed value of the test statistic is, 6.079.

The critical value of chi-square is 9.488.

Calculated test statistic < Critical value

                            6.079 < 9.488

Thus, the null hypothesis was failed to rejected.

Answer:

[tex](14 + 7) + 12 = 14 + (7 + 12)[/tex]

Step-by-step explanation:

Given

[tex](14 + 7) + 12[/tex] --- [Missing in question]

Required

Select equivalent expression

[tex](14 + 7) + 12[/tex]

Associative property states that:

[tex](a + b) + c = a + (b + c)[/tex]

In this case:

[tex]a = 14[/tex]

[tex]b = 7[/tex]

[tex]c = 12[/tex]

So, we have:

[tex](a + b) + c = a + (b + c)[/tex]

[tex](14 + 7) + 12 = 14 + (7 + 12)[/tex]

B. is correct

Answer: i think 4

Step-by-step explanation:

Answer:

Okay look at the graph, at x = 11, the y of the line is between 500 and 450. 500+450=950

950/2=475 so (11,475)

Let's take x=6, the y would then be 600. If x=9, y would be 525. Just try to look at the graph and see from there. Let me know the answer.

Answer:

x = -17/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

10(x + 1) = 2x - 7

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -45/4 does indeed equal -45/4.

∴ x = -17/8 is the solution to the equation.

Answer:

i think the answer is all of them but if its wrong im sry

Step-by-step explanation:

Answer:

i believe is 4

Step-by-step explanation:

If you 2y=-4x+12

need to get the Y by it self

Answer:

Answer below

Step-by-step explanation:

Rational:

3.597

74.721

5/2

0

-11

(all the rest are irrational)

Answer:

X PARTS OF AN INTEGER DIVIDED INTO 3 PARTS

Step-by-step explanation:

X PARTS OF AN INTEGER DIVIDED INTO 3 PARTS

Answer:

B

Step-by-step explanation:

I checked it and it’s right hope this helps!!

Answer:

Length of Mr. Roger's field = 5 miles

Step-by-step explanation:

Given that:

Area of Mr. Roger's field = [tex]3\frac{1}{3}=\frac{10}{3}[/tex] square miles

Width of Mr. Roger's field = [tex]\frac{2}{3}[/tex] of a mile

Let,

l be the length of Mr. Roger's field

Area of field = Length * Width

[tex]\frac{10}{3}=\frac{2}{3}l[/tex]

Multiplying both sides by 3/2

[tex]\frac{3}{2}*\frac{10}{3}=\frac{2}{3}l*\frac{3}{2}\\5 = l\\l = 5[/tex]

Hence,

Length of Mr. Roger's field = 5 miles

Answer:

rate of change of rent's texting with respect to the month x

Step-by-step explanation:

This expression is written in the form of equation of a straight line f(x) = mx+c where;

m is the slope of rate of change of the function

c is the y-intercept

On comparing, we will see that the slope of the given equation is 117 which can be represented as the rate of change of rent's texting with respect to the month x

Answer:

572

Step-by-step explanation:

Work :

Given:

Length of a side of base of a square base pyramid = 6 cm

Height of each triangular surface = 4 cm.

To find:

The total surface area of the square based pyramid.

Solution:

Area of a square with side length a is

[tex]\text{Area of square}=a^2[/tex]

Area of square with side length 6 cm is

[tex]\text{Area of square}=(6)^2[/tex]

[tex]\text{Area of square}=36[/tex]

So, area of square with side length 6 cm is 36 cm².

Area of triangle is

[tex]\text{Area of a triangle}=\dfrac{1}{2}\times base\times height[/tex]

Area of each triangular surface is

[tex]\text{Area of each triangular surface}=\dfrac{1}{2}\times (6)\times (4)[/tex]

[tex]\text{Area of each triangular surface}=12[/tex]

Total area of 4 triangular surfaces is

[tex]\text{Area of 4 triangular surfaces}=4\times 12[/tex]

[tex]\text{Area of 4 triangular surfaces}=48[/tex]

So, area of all triangular surfaces is 48 cm².

Now, total area of pyramid is the sum of base area and area of all triangular sides.

[tex]Area=36+48[/tex]

[tex]Area=84[/tex]

Therefore, the area of given square pyramid is 84 cm².

Answer:

i need this answer too

Step-by-step explanation:

lol