what is the value of x?

Answer:

angle bisector

Step-by-step explanation:

In the picture shown in the question, the line segment SQ would be considered the angle bisector. This is because it is dividing the interior angles' opposite side into two line segments. Hence the line segments PQ and QR. The angle bisector divides the opposite side into line segments that are proportional to the other two sides of the triangle which in this case can be seen by the top left indication in the picture stating that PQ and QR are the same.

Answer:

19

Step-by-step explanation:

Answer:

61

reason: I just counted

Answer:

c

Step-by-step explanation:

The vertex is like the top point of the pyramid. If we cut in that direction, we essentially cut the pyramid in half. This makes a triangle crossection

Answer: For me, triangle isn't the correct answer. For me the correct answer is a point

Step-by-step explanation:

Answer:

The answer is C, 18 hours.

Answer:

C. 80

Step-by-step explanation:

m angle 1 = ½×(105+55)= ½× 160= 80°

Answer:

58 yds (squared yards) 6 × 7 = 42, 4 × 4 = 16; 42 + 16 = 58

hope this helps!

Answer:

see how to calculate of this question

Answer:

yes all fl oz will fit in the bottle

Step-by-step explanation:

1 cup = 8 fl oz

4 cups = 32 fl oz

you have still space 8 fl oz

Yes,  all 24 fl oz will fit in the bottle.

To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple.

We need to convert both the capacity of the water bottle and the amount of water in fluid ounces to the same unit before we can compare them.

1 cup = 8 fluid ounces, so 4 cups = 32 fluid ounces.

Therefore, the water bottle can hold 32 fluid ounces of liquid.

Marty has 24 fluid ounces of water to put into the bottle.

Since 24 fluid ounces is less than 32 fluid ounces, all 24 fluid ounces of water will fit into the water bottle with room to spare.

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Answer:

61

Step-by-step explanation:

Answer:

The first one is 5.075

The second one is 3.15

The third one is 5.875

The fourth one is 7.55

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Answer:

2.03 x 2.5 = 5.075

1.4 x 2.25 = 3.15

2.35 x 2.5 = 5.875

3.02 x 2.5 = 7.55

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

1/1

2/2

3/3

4/4

5/5

Step-by-step explanation:

Answer:

S_n = 99.18

Step-by-step explanation:

The series is;

200, -160, 128...

Now,the common ration would be gotten by dividing two consecutive terms i.e. a2/a1, a3/a2, a4/a3 e.t.c.

Now,

r = -160/200

r = -4/5

Formula for sum of geometric series is;

S_n = a1(1 - rⁿ)/(1 - r)

Where a1 is the first term and n is the number of terms in the series.

In this case;

a1 = 200

n = 10

Thus;

S_n = 200(1 - (-4/5)^(10))/(1 - (-4/5))

S_n = 99.18

Answer:

1130.4

Step-by-step explanation:

The volume of a cylinder is πr^2h, where r is the radius and h is the height.

We are given the height, 10m.

The diameter is 2m more than the height, so 2+10=12m.

The radius is half the diameter, so 12m/2=6m.

Use r=6 and h=10 in the formula to get the volume

π6^2*10≈1130.4

Answer:

136 restaurants

Step-by-step explanation:

Answer:

Step-by-step explanation:

136 pizzas

Answer:

285 square units

Step-by-step explanation:

A=π⅓(6V)⅔

Here Volume is 144π

So,

A= π⅓ (6(144π))⅔

=π⅓ (6(452.4)⅔

=π⅓ (2714.4)⅔

=π⅓ (194.5)

=(3.14)⅓ (194.6)

=(1.46) (194.6)

=284.9

=285

Answer:

2145 ft^3

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

200/300 x 147= 98

Answer:

n 3 is the correct answer okay

Answer:

28

Step-by-step explanation:

a = 28

Answer: Flipping a coin, or drawing a card suit (spades, hearts, clubs, or diamonds), either of those works.

Step-by-step explanation: A compound event is the combination of two or more simple events (with two or more outcomes). The probability of drawing a heart, replacing the card, then drawing a spade. In a compound event, the numerator ("number of times it can occur") will be greater than 1.

Step-by-step explanation:

48, 52, 57, 61, 64, 72, 76, 77, 81, 85, 88

the middle number is 72

Answer:

true

Step-by-step explanation:

Answer:

3 doors needed

Step-by-step explanation:

The computation of the no of trucks doors that are needed is shown below:

= serve daily ÷ no of store orders ÷ no of store orders

= 50 ÷ 4 ÷ 4

= 3 doors needed

First we divided the serve daily from the no of store orders and then the value that comes so it would be divided by no of store orders again so that the no of truck doors could come

Answer:

A small bar of gold measures 40 mm by 25 mm by 2 mm. One cubic millimeter of gold weighs about 0.0005 ounce. Find the volume in cubic millimeters and the weight in ounces of this small bar of gold.

Answer:

y=-5x+4

Step-by-step explanation:

The equation of the line is y=mx+b. We know what m is and what b is. Therefore, we can plug them into the equation. The line will be y=-5x+4. This is the equation of the line.

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Answer:

The answer is C as money needed to spend on lunch is 3times on snacks so if we let money on snacks as s then lunch will be 3s.

Step-by-step explanation:

And the total money he has is $9 so

3s+s = 9

The inequality will be 3s + s greater than or equal to 9. The correct option is C.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than.

It is given that Crystal has $9 to spend on lunch and an afternoon snack. If lunch costs three times as much as the snack.

The answer is C as the money needed to spend on lunch is 3 times on snacks if we let money on snacks as s then lunch will be 3s. And the total money he has is $9.

3s+s = 9

Therefore, the inequality will be 3s + s greater than or equal to 9. The correct option is C.

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Answer:

the answer is in the photo

Step-by-step explanation:

I hoped I helped:)

Answer:

2 1/2

A.

Count the complete =2

The incomplete, a quarter + a quarter = half

Answer:

a) 0.11%

b) 55.99%

c) 0.25%

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.

This means that [tex]\mu = 54.3, \sigma = 14.5[/tex]

1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?

The proportion is the pvalue of Z when X = 10. So

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

[tex]Z = \frac{10 - 54.3}{14.5}[/tex]

[tex]Z = -3.06[/tex]

[tex]Z = -3.06[/tex] has a pvalue of 0.0011

0.0011*100% = 0.11%.

2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?

The proportion is the value of Z when X = 60 subtracted by the pvalue of Z when X = 35.

X = 60

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

[tex]Z = \frac{60 - 54.3}{14.5}[/tex]

[tex]Z = 0.39[/tex]

[tex]Z = 0.39[/tex] has a pvalue of 0.6517

X = 35

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

[tex]Z = \frac{35 - 54.3}{14.5}[/tex]

[tex]Z = -1.33[/tex]

[tex]Z = -1.33[/tex] has a pvalue of 0.0918

0.6517 - 0.0918 = 0.5599

0.5599*100% = 55.99%

3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?

The proportion is 1 subtracted by the pvalue of Z when X = 95.

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

[tex]Z = \frac{95 - 54.3}{14.5}[/tex]

[tex]Z = 2.81[/tex]

[tex]Z = 2.81[/tex] has a pvalue of 0.9975

1 - 0.9975 = 0.0025

0.0025*100% = 0.25%

(1.) 0.11% of Americans annual salad and cooking oil consumption is less than 10 pounds.

(2) 55.99% of Americans annual salad and cooking oil consumption is between 35 and 60.

(3).0.25% Americans annual salad and cooking oil consumption is more than 95 pounds.

Given, the average american consumed 54.3 pounds of salad and cooking oils in 2008.

the mean of salad and cooking oil consumption is approximately 54.3 pounds and a standard deviation of 14.5 pounds.

The formula for calculating a z-score is,

[tex]z = \dfrac{(X-\mu)}{\sigma}[/tex]

where [tex]X[/tex] is the raw score, μ is the population mean, and σ is the population standard deviation.

The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average.

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 p-value, we get the probability that the value of the measure is greater than X.

1. percentage of Americans annual salad and cooking oil consumption is less than 10 pounds.

Here X=10

[tex]z=\dfrac{10-54.3}{14.5}[/tex]

[tex]z=-3.06[/tex]

Since [tex]z=-3.06[/tex] has a p value of 0.0011,so

[tex]0.0011\times100\%=0.11\%[/tex]

2.percentage of Americans' annual salad and cooking oil consumption is between 35 and 60.

the proportion is the value of Z when X = 60 subtracted by the p value of Z when X = 35.

At X=60,

[tex]z=\dfrac{60-54.3}{14.5}[/tex]

[tex]z=0.39[/tex]

0.39 has a p value of 0.6517.

At X=60,

[tex]z=\dfrac{35-54.3}{14.5} \\[/tex]

[tex]z=-1.33[/tex]

-1.33 has a p value of 0.0918.

Now,[tex]0.6517 - 0.0918 = 0.5599[/tex]  

[tex]0.5599\times100\% = 55.99\%[/tex]

3. percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds.

Here, The proportion is 1 subtracted by the p value of Z when X = 95.

[tex]z=\dfrac{95-54.3}{14.5}[/tex]

[tex]z=2.81[/tex]

[tex]z=2.81[/tex] has a p value of 0.9975.

So, [tex]1 - 0.9975 = 0.0025[/tex].

Now, [tex]0.0025\times100\% = 0.25\%[/tex].

Hence the correct percentage is 0.11%,55.99% and 0.25% respectively.

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