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4 years ago

a drawer contains 24 and forks. there are three times as many spoons as forks. how many spoons are in the drawer?

Mathematics

2 answers:

SIZIF [17.4K]4 years ago

7 0

24× 3 because if there's "three times as many" its ×3 (answer:72)

Maurinko [17]4 years ago

4 0

There are 72 spoons in the drawer because, what is 24* 3 it is 72.

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The triangles shown are congruent by the SSS congruence theorem.

denis23 [38]

1. Let's check the problem backwards. So let's map A"B"C" to ABC

2. We first need to reflect A"B"C" to A"B"C' with A"B"" as the axis of rotation.

3. Then we shift a few units up (translation) A"B"C' to A'B'C

4. Finally we rotate A'B'C around C to map the triangle onto ABC

going backwards we get the answer: b

b.rotation, then translation, then reflection

3 0

3 years ago

Read 2 more answers

The following data gives the speeds (in mph), as measured by radar, of 10 cars traveling north on I-15. 76 72 80 68 76 74 71 78

____ [38]

Answer:

71.123 mph ≤ μ ≤ 77.277 mph

Step-by-step explanation:

Taking into account that the speed of all cars traveling on this highway have a normal distribution and we can only know the mean and the standard deviation of the sample, the confidence interval for the mean is calculated as:

$m-t_{a/2,n-1}\frac{s}{\sqrt{n} }$ ≤ μ ≤ $m+t_{a/2,n-1}\frac{s}{\sqrt{n} }$

Where m is the mean of the sample, s is the standard deviation of the sample, n is the size of the sample, μ is the mean speed of all cars, and $t_{a/2,n-1}$ is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.

the mean and the standard deviation of the sample are equal to 74.2 and 5.3083 respectively, the size of the sample is 10, the distribution t- student has 9 degrees of freedom and the value of a is 10%.

So, if we replace m by 74.2, s by 5.3083, n by 10 and $t_{0.05,9}$ by 1.8331, we get that the 90% confidence interval for the mean speed is:

$74.2-(1.8331)\frac{5.3083}{\sqrt{10} }$ ≤ μ ≤ $74.2+(1.8331)\frac{5.3083}{\sqrt{10} }$

74.2 - 3.077 ≤ μ ≤ 74.2 + 3.077

71.123 ≤ μ ≤ 77.277

8 0

3 years ago

Which property of multiplication is shown? (7 X 4) x 2 = 7 * (4 x 2)

Ksivusya [100]

Answer:

Its all messed up

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the t-value such that the area in the right tail is 0.2 with 5 degrees of freedom.

evablogger [386]

Answer:

0.920

Step-by-step explanation:

To calculate this, we proceed to the t-table

Using degree of freedom 5 and significance level of 0.2, the t-value is 0.920

3 0

3 years ago

The women’s heptathlon in the Olympics consists of seven track and field events: the 200-m and 800-m runs, 100-m high hurdles, s

SpyIntel [72]

Answer: Prokhorova is more outstanding.

Step-by-step explanation: To compare scores from different distributions, first standardize it:

z-score = $\frac{x-\mu}{\sigma}$

where

x is the individual mean you want to compare

μ is the mean of the population

σ is standard deviation

For Gertrud Bacher:

z-score = $\frac{129-137}{5}$

z-score = $-1.6$ (s)

The negative sign indicates Bacher's mean is less than the mean

For Yelena Prokhorova:

z-score = $\frac{660-600}{30}$

z-score = 2 (cm)

The positive sign indicates Prokhorova's mean is more than the mean.

Using z-score table, you determine the percentiles are:

For Bacher: Percentile = 5.5%

For Prokhorova: Percentile = 97.7%

Bacher's percentile means she is above 5.5% of the participants, while Prokhorova is 97.7% above the other competitors, which means Prokhorova have a better performance and deserves more points.

3 0

3 years ago