There are 420 students . The ratio from girls to boys is 4- 3 . How many more girls?

Answers

Answer 1
Answer: There are 60 more girls
Answer 2
Answer:

Final answer:

There are 420 students divided into 7 parts due to the ratio of girls to boys being 4:3. With one part totaling 60 students, there are 240 girls and 180 boys. Thus, there are 60 more girls than boys.

Explanation:

To solve this problem, you need to understand the concept of ratios. In this case, the ratio of girls to boys is 4:3. This means that for every 4 girls, there are 3 boys. If we add the two parts of the ratio together, we get 7 parts. This means that the total number of students, which is 420, is to be divided into 7 parts.

So, one part of this ratio is equal to 420 divided by 7, which equals 60 students. Since the ratio claims there are 4 parts of girls and 3 parts of boys, to find out the numbers of girls and boys, we multiply each part of the ratio by 60. Hence, the total number of girls is 4 multiplied by 60, which equals 240 and the number of boys is 3 multiplied by 60, which equals 180.

Therefore, the difference in number between girls and boys is 240 minus 180, which equals 60. So there are 60 more girls than boys.

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When Steve woke up his temperature was 102 degrees. Two hours later it was 3 degrees lower. What was his temperature then?

Answers

Answer:

99

Step-by-step explanation:

102-2=100

100-1=99

or

102-3=99

His temperature is 99

Which angles are congruent to each other?

Answers

Answer:

<8 and <6 are congruent to each other.

Step-by-step explanation:

A protractor was used to determine the answer.  They both measured to 140 degrees.  

Final answer:

Congruent angles are those that have the exact same degree measure – they are equal in size. The position of these angles does not impact their congruence.

Explanation:

In mathematics, two angles are described as congruent when they have the same measure, meaning that they are equal in degrees. For instance, if you have two angles each measuring 45 degrees, they are congruent. Even if these angles aren't located in the same position on a shape, or even on two different shapes entirely, they are considered congruent because they have the exact same degree measurement.

Congruency can also apply to other geometric elements like triangles and lines. However, in the context of your question, the concept is strictly applied to angles.

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Triangle ADE is enlarged to form triangle ABC. What is the scale factor?6cm,6cm,7cm,7cm,5cm,10cm

Answers

I need this answer to please when you get the answer will you let me know thank you!!

It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work in temperatures of 200-500 degrees. In a test of one type of mask, 24 of 55 were found to have their lenses pop out at 325 degrees. Construct and interpret a 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees.

Answers

Answer:

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{(\pi(1-\pi))/(n)}

In which

z is the zscore that has a pvalue of 1 - (\alpha)/(2).

For this problem, we have that:

n = 55, \pi = (24)/(55) = 0.4364

93% confidence level

So \alpha = 0.07, z is the value of Z that has a pvalue of 1 - (0.07)/(2) = 0.965, so Z = 1.81.

The lower limit of this interval is:

\pi - z\sqrt{(\pi(1-\pi))/(n)} = 0.4364 - 1.81\sqrt{(0.4364*0.5636)/(55)} = 0.3154

The upper limit of this interval is:

\pi + z\sqrt{(\pi(1-\pi))/(n)} = 0.4364 + 1.81\sqrt{(0.4364*0.5636)/(55)} = 0.5574

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

ORDER THE SIDE LENGTHS FROM LEAST TO GREATEST


help asap!!!

Answers

Answer:

IJ<JH<HI

Step-by-step explanation:

<H would be 43.

The side across from the smallest angle is the smallest side. IJ

The side across from the middle angle is the middle side. JH

The side across from the largest angle is the largest side. HI

The brain volumes ​(cm cubedcm3​) of 20 brains have a mean of 1189.81189.8 cm cubedcm3 and a standard deviation of 126.5126.5 cm cubedcm3. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such​ data, would a brain volume of 1432.81432.8 cm cubedcm3 be significantly​ high?

Answers

Answer:

Lower limit = 936.8

Upper limit = 1442.8            

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1189.8 cube cm

Standard Deviation, σ = 126.5 cube cm

Range rule of thumb:

  • The range rule of thumb says that the range is four times the standard deviation.

\text{Range} = 4* 126.5 = 506

  • The range rule of thumb suggests that most values would be in the area covered by four standard deviations that is within two standard deviations above or below the mean.

Lower limit =

\mu - 2\sigma\n= 1189.8 - 2(126.5)\n = 936.8

Upper limit =

\mu + 2\sigma\n= 1189.8 + 2(126.5)\n = 1442.8

Thus, most values lie within (936.8,1442.8)

A brain volume of 1432.8 cube cm is not significantly high because it is less than the upper limit.