In a class of 29 children, 15 like history and 21 like math. They all like at least one of
the two subjects.
What is the probability that a child chosen at random from the class likes math but
not history?

Answer:

x = 23

Step-by-step explanation:

the sum of all interior angles of  triangle is 180 dehrees.

top angle = 180-100 = 80 degrees

80 + 51 + (2x+3) = 180

2x+3 = 49

2x = 46

x = 23

Answer:

expression because an equation has to have a plus +×÷ or divsion sign to be an equation

Answer:

Step-by-step explanation:

they are asking for the triangle the "hangs " off the line, and so that it's in integer units.

by looking at the graph, I think if you were to draw a line on the y =4  ... so a flat horizontal like from the y axis at 4 on the y axis over to your graphed line.. that would do it..  :/   get it?

then the y axis is the "rise" and the line going from the y axis, horizontallly over to the graphed line, from 4.. and staying on 4 to the line... would be the run...  :?   I think this will be tough to get  

Answer:

I believe that the volume of the triangular prism is 24 cm

Answer:

The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.

This means that [tex]\mu = 8, \sigma = 4[/tex]

The probability that X is between 1.48 and 15.56

This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So

X = 15.56

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

[tex]Z = \frac{15.56 - 8}{4}[/tex]

[tex]Z = 1.89[/tex]

[tex]Z = 1.89[/tex] has a pvalue of 0.9706

X = 1.48

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

[tex]Z = \frac{1.48 - 8}{4}[/tex]

[tex]Z = -1.63[/tex]

[tex]Z = -1.63[/tex] has a pvalue of 0.0516

0.9706 - 0.0516 = 0.919

Write out the probability notation for this question.

[tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

Answer:

Last year the percent of error was lower than this year. The smaller the percent of error, the closer the estimate is to the exact value. Last year, Ron made a better estimate.

Answer:

84

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

1344/16=84

Answer:

70°

Step-by-step explanation:

As we can see that that triangles are similar so

angles are equal

< U = 47° and < T = 63°

So now

< U +< T + <V = 180°< being sum of angles of triangle >

47° + 63° + < V = 180°

< V = 180° - 110°

< V = 70°

Hope it will help :)❤

Answer:

70 degrees

Step-by-step explanation:

Similar triangles are different in size, but same in angles. That means...

Angle R is congruent to Angle U, Angle Q is congruent to Angle T.

By the Triangle Sum Theorem, all triangles add to 180 degrees.

Angle U + Angle T + Angle V = 180 degrees

47 + 63 + Angle V = 180

Angle V = 70

Answer:

x = 10

Step-by-step explanation:

9x - 40 = 3x + 20

9x - 3x - 40 = 3x - 3x + 20

6x - 40 = 20

6x - 40 + 40 = 20 + 40

6x = 60

6x / 6 = 60 / 6

x = 10

Now plug the x value in the equation to make the statement true that A is parallel to B.

9x - 40

9(10) - 40

90 - 40

50

3x + 20

3(10) + 20

30 + 20

50

Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!

Answer: 10

Step-by-step explanation:

Answer:

volume of tank is 157.5m

Step-by-step explanation:

that's too high

Answer:

9.5

Step-by-step explanation:divide area by 12.3

i think it is right

Answer:

u= 19 miles

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Given that the area is 116.85 mi² and height= 12.3 mi,

116.85= ½ ×u ×12.3

6.15u= 116.85

u= 116.85 ÷6.15 (÷6.15 on both sides)

u= 19 mi

Answer:

1. B.

2. C.

Step-by-step explanation:

1. It only has one cell so it needs to rely on other organisms in order for it to survive

2. Chloroplasts are only found in plants you can remember it by "Chloroplants"

8/9 ÷ 4 = 8/36 as simplified as 2/9 in fraction form.

Answer:

8/36

Step-by-step explanation:

I divided  8/9 by 4

Answer:

Step-by-step explanation:

according to the question

[tex] \sf \: 2x + 4 + 62 = 90[/tex]

simplify addition:

[tex] \implies \sf 2x + 66 = 90[/tex]

subtract 66 from both sides:

[tex] \sf\implies 2x + 66 - 66 = 90 - 66 \\ \sf\implies2x = 24[/tex]

divide both sides by 2:

[tex] \sf \implies \: \frac{2x}{2} = \frac{24}{2} \\ \sf \therefore \: x = 12[/tex]

Answer:

Solution given:

62°+2x+4+90=180°[ sum of interior angle of a triangle is 180°]

2x=180-156°

x=24°/2

x=12°

Answer:

B . tell me if ya need proof

Step-by-step explanation:

Answer:

We proceed to use the following operations: (i) Vertical translation downwards ([tex]k = -\frac{1}{2}[/tex]), (ii) Vertical compression ([tex]c = \frac{1}{2}[/tex]), (iii) Vertical translation upwards ([tex]k = \frac{1}{2}[/tex]). The graph is presented below.

Step-by-step explanation:

To transform [tex]y = \frac{5}{4}\cdot x + \frac{1}{2}[/tex] into [tex]y = \frac{5}{8}\cdot x + \frac{1}{2}[/tex], we apply the following steps:

(i) Vertical translation downwards ([tex]k = -\frac{1}{2}[/tex])

[tex]g(x) = f(x) +k[/tex] (1)

(ii) Vertical compression ([tex]c = \frac{1}{2}[/tex])

[tex]g(x) = c\cdot f(x)[/tex] (2)

(iii) Vertical translation upwards ([tex]k = \frac{1}{2}[/tex])

[tex]g(x) = f(x) + k[/tex]

Now, we proceed to transform the primitive expression:

Step 1

[tex]f'(x) = \frac{5}{4}\cdot x[/tex]

Step 2

[tex]f''(x) = \frac{5}{8}\cdot x[/tex]

Step 3

[tex]g(x) = \frac{5}{8}\cdot x + \frac{1}{2}[/tex]

The graph of both function are now presented below. The parent function is the red line and the new function is represented by the blue line.

Answer:

There is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men

Step-by-step explanation:

The population 10 year cumulative incidence of prostrate cancer among 70 year old men, p = 0.06

The number of 50 year old men in the sample, n = 260 men

The number of the sampled men that developed prostrate cancer = 13 men

The significance level, α = 0.05

Let the null hypothesis, H₀: [tex]\hat{p}[/tex] = p

The alternative hypothesis, Hₐ: [tex]\hat{p}[/tex] ≠ p

The standard score, [tex]z_{\alpha /2}[/tex] = 1.96

The test statistic, 'z', is given as follows;

[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]

[tex]\hat{p}[/tex] = 13/260 = 0.05

q = 1 - p = 1 - 0.06 = 0.94

[tex]Therefore, \ z=\dfrac{0.05-0.06}{\sqrt{\dfrac{0.06 \times 0.94}{260}}} = \dfrac{\sqrt{9165} }{141} \approx -0.68[/tex]

From the z-table, we find the p-value as follows;

P(z ≈ -0.68) = 0.24825

Therefore, given that the p-value, 0.24825 is larger than the significance level, α/2 = 0.025, we fail to reject the null hypothesis, and therefore, there is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men

Step-by-step explanation:

x = 65° ----- ( verically opposite Δ )

My name is Ankush kumar I am A boy

Answer:

C. 280 ft cubed

Step-by-step explanation:

1/2x7x5x16=280

Answer: 10x5

(10 blocks wide, 5 blocks long) or (5 blocks wide, 10 blocks long)

Step-by-step explanation:

3 blocks = 18 meters, so

1 block = 6 meters

60meters/ 6meters= 10 blocks

30 meters/ 6 meters = 5 blocks

Answer:

80 cups

Step-by-step explanation:

There are 640 ounces in 5 gallons so,

640 divided by 8 equals 80, therefore,

The greatest number of cups that can be served are 80

Answer:

4800 1 x 24 x 25 x 8

Step-by-step explanation: 1 x 24 x 25 x 8

Answer:

A

Step-by-step explanation:

Dimension of the rectangular fence:

Length = 30 ft

Width = 25 ft

Perimeter of the rectangular fence = 2(L + W)

= 2(30 + 25) = 2(55)

Perimeter = 110 ft

Fencing cost per foot = $4.05

Fencing cost for 110 ft = 110 × 4.05 = $445.50