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3 years ago

Solve the equation for all values of x by completing the square. x2 + 21 = 10x

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

Answer:

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Step-by-step explanation:

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Priscilla can make 4 bracelets in 19 minutes. At this rate, how many bracelets can she make in 76 minutes?

irakobra [83]

19 min = 4 bracelet
4 x 19 min = 76 min
If 19 min is 4 bracelets then 4 x 4 = 16 bracelets

6 0

3 years ago

Jacob Lee is a frequent traveler between Los Angeles and San Diego. For the past month, he wrote down the flight times in minute

valkas [14]

Solution :

We know that

$H_0: \mu_1 = \mu_2=\mu_3$

$H_1 :$ At least one mean is different form the others (claim)

We need to find the critical values.

We know k = 3 , N = 35, α = 0.05

d.f.N = k - 1

= 3 - 1 = 2

d.f.D = N - k

= 35 - 3 = 32

SO the critical value is 3.295

The mean and the variance of each sample :

Goust Jet red Cloudtran

$\overline X_1 =50.5$ $\overline X_2 =50.07143$ $\overline X_3 =55.71429$

$s_1^2=19.96154$ $s_2^2=14.68681$ $s_3^2=36.57143$

The grand mean or the overall mean is(GM) :

$\overline X_{GM}=\frac{\sum \overline X}{N}$

$=\frac{51+51+...+49+49}{35}$

= 52.1714

The variance between the groups

$s_B^2=\frac{\sum n_i\left( \overline X_i - \overline X_{GM}\right)^2}{k-1}$

$=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$

$=\frac{127.1143}{2}$

= 63.55714

The Variance within the groups

$s_W^2=\frac{\sum(n_i-1)s_i^2}{\sum(n_i-1)}$

$=\frac{(14-1)19.96154+(14-1)14.68681+(7-1)36.57143}{(14-1)+(14-1)+(7-1)}$

$=\frac{669.8571}{32}$

= 20.93304

The F-test statistics value is :

$F=\frac{s_B^2}{s_W^2}$

$=\frac{63.55714}{20.93304}$

= 3.036212

Now since the 3.036 < 3.295, we do not reject the null hypothesis.

So there is no sufficient evidence to support the claim that there is a difference among the means.

The ANOVA table is :

Source Sum of squares d.f Mean square F

Between 127.1143 2 63.55714 3.036212

Within 669.8571 32 20.93304

Total 796.9714 34

3 0

2 years ago

Which number sentence is always true?

Vaselesa [24]

Answer:

Step-by-step explanation:

The answer is ''B'' cause it is the only true statement

5 0

3 years ago

The diameter of the attic is 18ft and its height is 18ft. What's is the volume of the space in the attic

Svet_ta [14]

I attached an image with the complete question.

Answer:
volume of attic = 1526.04 ft³

Explanation:
Volume of cone can be calculated using the following rule:
Volume = $\frac{1}{3}$ * area of base * height
Volume = $\frac{1}{3}$ * π * radius² * height
We are given that:
π = 3.14
radius = 18/2 = 9 ft
height = 18 ft

Substitute in the equation to get the volume as follows:
Volume = $\frac{1}{3}$ * 3.14 * (9)^2 * (18) = 1526.04 ft³

Hope this helps :)

5 0

3 years ago

This week, Marie trimmed 61% of the bushes in her yard. Katie trimmed 7/20 of the bushes in her yard. Who has trimmed a greater

NemiM [27]

Answer- Marie
7/20 = 0.35 = 35%
61% > 35%

5 0

1 year ago