Help please....................................................................

9514 1404 393

Answer:

Step-by-step explanation:

We can express all of the ages in terms of Luna's age. Letting L represent Luna's age, we have ...

The total of their ages is then ...

  L +2L +(2L+6) = 51 . . . . an equation with one variable

  5L = 45

  L = 9

Luna is 9, Camila is 18, and Ava is 24.

Answer:

False

Step-by-step explanation:

I don't know much about math but

if u say 5+5= 10

5+10=15

nothing make 18 so

it false

Answer:

y=-1/4x+21/4

Step-by-step explanation:

Slope=-2/8=-1/4

y=-1/4x+b

4=-1/4(5)+b

4=-5/4+b

5.25=b

21/4=b

Answer:

a) 8.74

b) 2.6607

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they are without health insurance, or they are not. In the sample, each person is independent of any other person, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

According to a survey, about 19% of all Americans are without health insurance.

This means that [tex]p = 0.19[/tex]

Suppose that you select a random sample of 46 Americans.

This means that [tex]n = 46[/tex]

(a) Calculate the expected number of Americans without health insurance in the sample.

[tex]E(X) = np = 46*0.19 = 8.74[/tex]

(b) Calculate the standard deviation of the number of Americans without health insurance in the sample.

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{46*0.19*0.81} = 2.6607[/tex]

Answer:

a - Mutual

b - (x+21)+(2x+3)=90

c - 3x +24 =90

3x=90-24

3x=66

X=22

Answer:

$12,375

$12820.50

Step-by-step explanation:

To obtain a rounded value of $28 (to nearest dollar) the lowest and highest possible value before rounding will be : 27.50 and 28.49

Hence,

Lower bound = $27.50

Upper bound = $28.49

Therefore. Cost of making 450 chairs ;

27.50 * 450 = $12,375 (lower bound)

28.49 * 450 $12820.50 (upper bound)

Answer:

60 millas por hora.

Step-by-step explanation:

Dado que un taxi viaja  a una velocidad de 48 mph  para llegar a un destino en 2 horas y media, para determinar cuál seria su velocidad si se tarda dos horas para llegar ​se debe realizar el siguiente cálculo:

48 x 2.5 = 120

120 / 2 = X

60 = X

Así, su velocidad, si se tardase dos horas en llegar, sería de 60 millas por hora.

Answer:

Step-by-step explanation:

(y/10)^2+(x/30)^2=1

y^2/100+x^2/900=1

9y^2+x^2=900

9y^2=900-x^2

y^2=(900-x^2)/9, when x=8 we have

y^2=(900-8^2)/9

y^2=(900-64)/9

y^2=836/9

y=9.6 meters

The arch is 9.6 meters above the river at a distance of 8 meters from the center.

Answer

Correct option is

A

68

Answer:

96 is the answer because vertically opposite angles are always equal

Answer:

Cierto

Step-by-step explanation:

Answer:

- The value of the 2 test statistic is 6.98

- There is no sufficient evidence to reject the claim of the specific distribution

Step-by-step explanation:

Given

Proportion (p)

[tex]ABC = 29\% = 0.29\\CBS = 28\% = 0.28\\NBC = 25\% = 0.25\\Others = 18\% = 0.18\\[/tex]

Samples

[tex]ABC = 95\\CBD = 65\\NBC = 87\\Others = 53\\\alpha = 0.05[/tex]

First, we formulate a table for chi square totals:

[tex]x^2 = \frac{(O - E)^2}{E}[/tex]

Where

O = Observed Frequency and E = Expected Frequency

So, we have:

[tex]\begin{array}{cccccc}{\ } & {O} & {E = np} & {O - E} & {(O -E)^2} & {x^2 = \frac{(O - E)^2}{E}} \ \\ \\ {0.29} & {95} & {87} & {8} & {64} & {0.736} &{0.28} & {65} & {84} & {-19} & {361} & {4.300} & {0.25} & {87} & {75} & {12} & {144} & {1.920} & {0.18} & {53} & {54} & {-1} & {1} & {0.019}\ \end{array}[/tex]

For ABC

[tex]E = np = 300 * 0.29= 87[/tex]

[tex]O-E =95 - 87 = 8[/tex]

[tex](O-E)^2 = 8^2 = 64[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{64}{87} = 0.736[/tex]

For CBS

[tex]E =np = 300 * 0.28 = 84[/tex]

[tex]O -E = 65 - 84 = -19[/tex]

[tex](O -E)^2 = (-19)^2 = 361[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{361}{84} = 4.300[/tex]

For NBC

[tex]E =np = 300 * 0.25 = 75[/tex]

[tex]O -E = 87 - 75 = 12[/tex]

[tex](O -E)^2 = (12)^2 = 144[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{144}{75} = 1.920[/tex]

For others:

[tex]E = np = 300 * 0.18 =54[/tex]

[tex]O - E = 53 - 54 = -1[/tex]

[tex](O - E)^2 = (-1)^2= 1[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{1}{54} = 0.019[/tex]

[tex]\sum x^2 = 0.736 + 4.300 + 1.920 + 0.019[/tex]

[tex]\sum x^2 = 6.975[/tex]

[tex]\sum x^2 = 6.98[/tex] --- approximated

The value of the 2 test statistic is 6.98

Next, is to determine the p value:

Calculate the degree of freedom

[tex]df = n - 1[/tex]

[tex]df = 4 - 1[/tex]

[tex]df = 3[/tex]

Using the [tex]x^2[/tex] table in the 3rd row,

[tex]\sum x^2 = 6.98[/tex] corresponds to:

[tex]p = 0.072699[/tex]

The value of p is:

[tex]0.05 < P < 0.10[/tex]

This implies that, we fail to reject H o

Answer:

146.96 [tex]m^2[/tex]

Step-by-step explanation:

1. Approach

Divide this figure into two smaller shapes. Calculate the area of these smaller shapes, and then add the results. One can divide this shape into a semi-circle, and a triangle.

2. Area of the triangle

The formula to find the area of a triangle is;

[tex]\frac{base*height}{2}[/tex]

It is given that the base of the triangle is (14m) and the height is (10m). Substitute in these values, and solve for the area,

[tex]\frac{14*10}{2}\\= \frac{140}{2}\\= 70[/tex]

2. Area of the semi-circle

The area of the semi-circle can be found by finding the area of the larger circle, and then divide it by 2, since a semi-circle is half of a circle. The formula for the area of a semi-circle is;

[tex]\frac{(pi)(r^2)}{2}[/tex]

Where (pi) is the constant (3.1415...), (r) represents the radius of the circle, which by definition is half of the diameter. Substitute in the values and solve;

[tex]\frac{(pi)(7)^2}{2}\\= \frac{3.14*49}{2}\\=76.96[/tex]

3. Find the total area;

Now add up the two values for the area of the figures;

Triangle + Semi-circle

= 70 + 76.96

= 146.96

Answer: about 147 m²

Step-by-step explanation:

Cos Milky said it. Trust Milky. Milky Smart.

Answer:

Q.1 a²+10a+24

splitting the middle.

a²+6a+4a+24

=a(a+6)+4(a+6)

(a+6)(a+4)

Q.2 x²+9x+18

splitting the middle

x²+6x+3x+18

x(x+6)+3(x+6)

(x+6)(x+3)

Answer:

- 60° (or - π/3)  or 240° and 300°

Step-by-step explanation:

sin⁻¹ ((-√3) /2) : in third quadrant and 4th quadrant will produce negative sine value

sin⁻¹ ((-√3) /2) = - 60° (or - π/3)  or 240° and 300°

Answer:

Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.

Step-by-step explanation:

✔️Function A:

Initial value = y-intercept (b)

y-intercept is the value of y, when the corresponding value of x = 0

From the table, y = 6 when x = 0.

The y-intercept of function A = 6

Therefore, initial value for Function A = 6

✔️Function B:

y = 4x + 3 is given in the slope-intercept form, y = mx + b.

b = y-intercept = initial value.

Therefore

Initial value for Function B = 3

✔️Function A has the greater initial value because the initial value for Function A is 6 and the initial value for Function B is 3.

Answer:

16.2 feet

Step-by-step explanation:

Reference angle = 62°

Opposite = x

Adjacent = 8.6

Apply trigonometric function, TOA:

Tan 62 = Opp/Adj

Tan 62 = x/8.6

8.6 × Tan 62 = x

16.1742476 = x

x = 16.2 ft (nearest tenth)

Answer:

30% decrease

Step-by-step explanation:

We have to divide 39 by 130 and then find the percentage of it. 39/130 is equal to 3/10, and 3/10 is equal to 30%. That means that it was a 30% decrease.

Answer:

35%

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Answer:

35h6j7jhtgr54y6htsrhr6wrttttwy

Step-by-step explanation:

Answer:

9.60πcm²

Step-by-step explanation:

Area of circular disk, A = πr²

Differntiate A with respect to r

dA/dr = π * (2r^(2-1)) /(2-1) + C

dA/dr = π * 2r/1

dA/dr = 2πr

dA = 2πr * dr

dA = 2πrdr

dA = maximum error ; dr= Error in measurement = 0.2 cm ; r = radius = 24cm

dA = 2π * 24 * 0.2

dA = 9.60πcm²

Answer:

1=2(4)+b

Step-by-step explanation:

slope intercept looks like this y=mx(or y=#x+#

if the slope is 2 the equation will be y=2x+b

to find b so x=4 and y=1 we can plug those numbers into the equation to find b

You have 2 points with the same x value of 2 and 2 points with the same y value of 4.

You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.

The missing point would need to be (4,1)

The width would be x2-x1 = 4-2 = 2 units

The length would be y2-y1 = 4-1 = 3 units

Area = 3x 2 = 6 square units

Answer:

D) 76 sq in

Step-by-step explanation:

It’s 4 triangles. A=1/2bh

1/2(8)(5)=20 (two of these)

1/2(8)(6)=24

1/2(4)(6)=12

20+20+24+12=76