Mrs Sogiba is catering for her son's birthday party. She has invited some of
her son's friends to theparty. The number of friends is a compositemultiple of her
son's age on his birthday. She has baked 48 cup cakes and each childwill receive
exactly the same number of cupcakes. Use your knowledge of factors and multiples
to find out how old her son will be on this birthday.
​

Answer:

253 boxes

Step-by-step explanation:

757/3 = 252.33

Answer:

Step-by-step explanation:

   o--------------------------->

[tex]<------------>\\ -25 -24 -23 -22 -21 -20[/tex]

> means an open circle on -25, and a line pointing to the right because it's greater than.

Options C and D number lines show a graph of the inequality x > -25 that lies on the positive side.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

We have given a condition we need to find which number line shows a graph of the inequality x > -25.

We can see in the graph that the number line of options 1 and 2 doesn't show the inequality x > -25 because the point lies on the negative side of the number line.

But the number line in the options C and D shows the inequality x > -25.

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Answer: 1:3

Step-by-step explanation:

18 Spanish and 6 French

ratio of French to Spanish is 6:18 reduced to1:3

Answer:

b i think

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

Since it does not plug in to the second linear equation, the ordered pair is not a solution of the linear system.

Step-by-step explanation:

(-1,3); y = -7x -4 y = 8x + 5 3 =7 - 4  3 =/ - 8 + 5

For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The ordered pair (-1,3) is not the solution of the given system of equations.

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

The solution of the equation can be found by plotting the equation on the graph. Therefore, the point at which the equation will intersect will the solution of the system of equation.

Since the solution of the system of equation is (-0.6, 0.2), there exists only one single solution for the system of equation. therefore, the (-1,3) is not the solution of the system of equation.

Hence, the ordered pair (-1,3) is not the solution of the given system of equations.

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Answer:

Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.

Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.

Step-by-step explanation:

Edge 2021

The type I error and type II errors for this condition are given by: Option A:

The Type I error is false positive (returning the test result as positive, which means, rejecting the null hypothesis(conclusion of rejection of null hypothesis is called positive test result) when its incorrect).

The Type II error is false negative (returning the test result as negative, which means, accepting the null hypothesis(assuming negative test result, so no flaw in null hypothesis from the perspective of test) when its wrong).

For this case, the hypotheses laid down are:

Thus, we get:

Type I error = False positive = Falsely accusing null hypothesis to be incorrect = Concluding that the proportion of metal that is gold is less than 75% when actually the proportion of gold is 75%.

Type II error = False negative = Falsely accepting the null hypothesis = Concluding that the proportion of metal that is gold is 75% when actually the proportion of gold is less than 75%.

Therefore, the type I error and type II errors for this condition are given by: Option A:

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Answer:

m = 8

Step-by-step explanation:

4 x 2

you just have to multiply exponents

*this answer i made was incorrect please avoid it*

Answer:

15

Step-by-step explanation:

Pythagoras theorem

a^2+b^2=c^2

12*12=144

9*9=81

144+81=225

sq root of 225 = 15

Answer:

1. D

2.C

3.B

4. A

Step-by-step explanation:

:D

Answer:

1. the top one is connected to the bottom

2. is connected to the third one

3. is connected to the second one

4. is connected to the first

Step-by-step explanation:

look below

Answer: 224

Step-by-step explanation: Subtract the terms and term number to find the common difference, 168/42=4. 112-29×4=-4=first term. 57×4+-4=224!

Answer:

70

Step-by-step explanation:

saveings +70 the money she added to the money he or she saved

Answer:

1. v = 72

2. b = 8

3. 0 or -2

4. C = -24

Step-by-step explanation:

Hope this helps.. Can I get brainiest

Answer:

DONT PRESS THAT LINK

Step-by-step explanation:

The height of the water decreases at a rate of 0.012  ft/sec if a cylindrical tank of a radius of 2.5 feet is being drained of water at a rate of 0.25 ft³/sec.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

It is given that:

A cylindrical tank of a radius of 2.5 feet is being drained of water at a rate of 0.25 ft³/sec

As we know,

The volume of the cylinder is given by:

V = πr²h

Let V is the water draining rate

V = 0.25 ft³/sec

The radius r = 2.5 feet

0.25 ft³/sec = π(2.5 feet)²(h)

h = [0.25/(2.5²π)]  [ft³/(sec×feet²]

h = 0.012  ft/sec

Thus, the height of the water decreases at a rate of 0.012  ft/sec if a cylindrical tank of a radius of 2.5 feet is being drained of water at a rate of 0.25 ft³/sec.

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Answer:

base = 3.75 inches

Step-by-step explanation:

37.5 = 20b/2

37.5 = 10b

b = 3.75

Given:

The width of a kitchen is 4.2 metres.

Kitchen cupboard widths are 60 cm.

To find:

The number of kitchen cupboard that will fit in 4.2 metres.

Solution:

Let x be the number of kitchen cupboard that will fit in 4.2 metres.

Width of 1 cupboard = 60 cm

Width of x cupboards = 60x cm

We know that, 1 m = 100 cm.

Width of a kitchen = 4.2 metres

                              = 4.2×100 cm

                              = 420 cm

Now, the width of the x cupboards is equal to width of the kitchen.

[tex]60x=420[/tex]

[tex]x=\dfrac{420}{60}[/tex]

[tex]x=7[/tex]

Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.

Answer:

36.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The formula to solve this is a+b)/2*h

4+5=9

9/2=4.5

4.5*8= 36

Answer:

Weight of circles = 10

Step-by-step explanation:

Say the circle's weight is x

Since there is one triangle and one square on the left, we know that is 16 pounds

Since there are 5 squares on the right, we know that is 36 pounds

Knowing that the circle weight variable is x, we can make an equation

16+3x=36+x

Simply solve for x now

Answer:

50

Step-by-step explanation:

45 - 30 = 15

15 + 59 = 74

74 - 18 = 56

The mean change per day to Krista's account during the week is $ 14

What is Average?

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Given data ,

The total sum of money in Krista's account = $45 - $30 + $59 - $18

                                                                             = $56

Total number of days = 4 days

Now ,

Mean change per day = Sum of money in Krista's account / Total number of days

Mean change per day  = 56 / 4

                                      = $ 14

Hence , The mean change per day to Krista's account during the week is $ 14

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Answer:

104 ft^2

Step-by-step explanation:

Before we start, one thing to notice is the 90 degrees symbol at the corners. This lets you know a rectangle has four 90 degrees angle, which will help in the next step.

First, separate the shape to become three rectangles.

After you've done that, start with the first recantgle on the left.

The edges are 8 and 5. To find the area, you must multiple 8 by 5.

8 * 5 =40

The area is 40 for the first rectangle.

Next, we do the second rectangle to the right of the first one.

oThe edges are 6 and 4. We know it is four because the full length on the rectangle on the left is 8 and below the 6 ft is the place that says 4 ft. The 6ft line cuts to rectangle in half so the other edge will be 4 ft. (Hope that made sense )

Now we find the area of the second rectangle by multiplying 6 and 4

6 *4 = 24

Now we conclude with the third rectangle. We know one edge which is 5 and the other edge will be 8 because, at the opposite end, it tells us the length is 8.

Now we multiply 8 and 5.

8 * 5 = 40.

Now, the three numbers we have found are 40, 24, and 40. Our final step is to add up these three numbers from the rectangles we made to find the area.

40 + 24 + 40 =  104

The area will be 104 ft^2

I hope this explanation helped and have a good day!

Answer:

The standard deviation is $13,052.

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.

When the head of the household has a college degree, the mean before-tax family income is $ 85,050.

This means that [tex]\mu = 85,050[/tex]

Suppose that 56% of the before-tax family incomes when the head of the household has a college degree are between $75,000 and $95,100 and that these incomes are normally distributed.

They are equally as far from the mean, one above, and one below. This means that when [tex]X = 95100[/tex], Z has a pvalue of 0.5 + (0.56/2) = 0.78. So when X = 95100, Z = 0.77. We use this to find [tex]\sigma[/tex].

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

[tex]0.77 = \frac{95100 - 85050}{\sigma}[/tex]

[tex]0.77\sigma = 10050[/tex]

[tex]\sigma = \frac{10050}{0.77}[/tex]

[tex]\sigma = 13052[/tex]

The standard deviation is $13,052.

Answer:

[tex]4.3 \pm 2.306\frac{1.5}{\sqrt{9}}[/tex], option c

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.306

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.306\frac{1.5}{\sqrt{9}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

Confidence interval:

The confidence interval is the sample mean plus/minus the margin of error. So

[tex]4.3 \pm 2.306\frac{1.5}{\sqrt{9}}[/tex]

The correct answer is given by option c.

Answer:

x=17

Step-by-step explanation:

4(x+5) = 88

4x + 20 = 88

4x = 88-20

4x = 68

x = 68/4

x = 17

Answer:

17

Step-by-step explanation:

4(x+5)=88

4x+20=88

4x=88-20

4x=68

4x÷4=68÷4

x=17

Answer:

1:9

Step-by-step explanation:

9/9 = 1 and 81/9 = 9

Thus, 9:81 ratio simplified is 1:9

Answer:

Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos